What’s x-5=1

Please please please help

Answers

Answer 1
X is 6
x = 1+5
6 (aka “x”) - 5 = 1

Related Questions


You earn $100 per month and want to save 10% in a savings account.
Use the savings calculator to find out how much your total savings would be in 1 year
if your account has an annual interest rate of 1%. (Do not include the $ sign in your
response) PLEASE HELP

Answers

Answer:

i'm sure you would have a amount of 1,200 dollars because there are 12 months in a year and you just got to x times 100 x 12=1,200 Booyah

Step-by-step explanation:

0.0158 rounded to the nearest tenth

Answers

Answer:

Step-by-step explanation:

Finn and Elmer are comparing their bank accounts. Finn has $27.10 in his account while Elmer has overdrawn his account and it has -$51.89 in it. How much more money does Finn have in hiss account than Elmer.

Answers

Finn has around 79 dollars more. But it’s exactly 78.99 dollars more

If you add Alex’s and bobs pie total together, they ate 22 pies, while bobs and chucks pies sum to 24. When you add Alex and chucks pie together, you find that they are 16 total. How many pies did each individual eat?

Answers

The number of pie each got-

Alex  -7Bob - 15Chuck - 9What is the method of elimination?To create an equation in one variable, use the elimination method and can either add or subtract this same equations. Whenever the coefficients with one variable are opposites, the equations are added to eliminate a variable; when the coefficients with one variable are equal, the equations are subtracted to eliminate a variable.

For the given question;

Let the number of pie eaten by Alex be 'a'.

Let the number of pie eaten by Bob be 'b'.

Let the number of pie eaten by Chuck be 'c'.

Then, for the given condition.

If you add Alex’s and bobs pie total together, they ate 22 pies,

a + b = 22 .....eq 1.

Bobs and chucks pies sum to 24.

b + c = 24   .......eq 2

Alex and chucks pie together be 16.

a + c = 16      .......eq 3

Solving equation 1 and 3 by elimination.

Subtract eq 3 from 1.

c = b - 6 .....eq 4

Solving equation 4 and 2.

b = 15

Put in eq 4

c = 9

Put the values of b and c in eq 1.

a = 7

Thus, the number of pie shared by Alex, Bob and Chuck are 7, 15 and 9 respectively.

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34= -w/7 solve for w

Answers

Hey! Your question was incomplete because I have double-checked my work, and even checked reliable sources to see if I missed something in my work, but I keep getting –238. I did play around with the question by switching the negative symbol around in the equation to see if I would get a balanced answer. I say this because when you solve the question you posted, the answer I got was w = –238, but when I went back to check my work by plugging that number in as the value of w, I got –238 ≠ 238 (or something like that. The number is the same, but the signs are not). If the signs and numbers don't both equal each other something is wrong with the problem. I believe I figured out where your question went wrong. Instead of the question being 34 = –w/7, I believe that the correct question should have been –34 = w/7. What I think happened was that when you typed your question, you swapped the negative on the 34 with the variable of w. If I am incorrect, and you typed your question correctly, I am sorry in advance because my work wasn’t matching what I got for w. But for now, I will solve what I think the question should have said. Again, sorry in advance. Solve for w in the following equation: –34 = w/7.

Write the equation:

–34 = w/7

Multiply both sides by 7:

7 × –34 = w/7 × 7

Multiply:

–238 = 1w

Divide:

–238/1 = 1w/1

–238 = w or w = –238

Check your work by plugging –238 back into the equation as w:

–34 = w/7

–34 = –238/7

Multiply both sides by 7:

–34 × 7 = –238/7 × 7

–238 = –238 ✔

Thus, w = –238

Hope that helps! Have an amazing rest of your day!! :)

Which of the following is equivalent to 6a + 4b + 3c?

10ab + 3c
4b + 6a + 3c
13abc
6a + 7bc

Answers

Answer: 4b+6a+3c

Step-by-step explanation:

Arrange the numbers 1 to 9 so that the sum of the three numbers in any straight line = 15​

Answers

Answer:

1     8    6

9    4    2

5    3    7

Step-by-step explanation:

1) When solving problems like this it is best to start with the smallest number. In this case the smallest number was 1, so that was placed in the top left corner.

2) The smallest number must be next to the two largest numbers so, 8 and 9 can be placed on its sides

1    8

9

3) solve for the final spots in the first row and the first column.

Row:

    1 + 8 = 9

    15 - 9 = 6

Column:

   1 + 9 = 10

   15 - 10 = 5

So,

1    8    6

9

5

3) Looking at the largest unused number, number 7, we can see that it is too large to go in the second row or the second column. This means it must be placed in the lower right corner

1    8    6

9

5          7

4) At this point you have enough information to solve for the rest of the numbers using simple addition and subtraction

find the compound interest on $1500 for 2years at 2%per annum compounded anually

Answers

Answer:

$1560.60

Step-by-step explanation:

PV (1+V)^n

= 1500 (1+2%)² = 1560.6

Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He iS going to work 15 hours
this week. How many hours does Trevor need to tutor to make at least $180?
hours

Answers

Inequality - Trevor needs to tutor more than 6 hours in order to make at least $180.

What is inequality?

inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Either questions or theorems can be used to express inequality problems, and both can be solved using methods similar to those used to solve equations. The triangle inequality, for instance, states that the length of the remaining side of a triangle is greater than or equal to the sum of the lengths of any two of its sides. Many of these inequalities, including the Cauchy-Schwarz inequality, are used by mathematical analysis to prove some of its most significant theorems.

Total number of hours = 15

Let the hours spent tutoring French is x

Therefor, hours spent in scooping ice cream = (15-x)

Tutoring French is $15 an hour, total for x hours = 15x

Scooping ice cream is $10 an hour, 10×(15-x)= 150-10x

To make more than $180,

= 15x+ (150-10x)> 180

= 15x+150-10x>180

=15x-10x>180-150

=5x>30

=x>6

So, Trevor needs to tutor more than 6 hours.

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-3x= 2x^2 -4 solve using quadratic formula

Answers

Solution of the given equation -3x =2x² -4,using quadratic formula is (-3 ±√41) /4.

As given in the question,

Given equation is:

-3x =2x² -4

Rearrange the terms in proper order:

2x² + 3x -4 =0

Solve it using quadratic formula

x = (-b ±√b²-4ac)/ 2a

Here compare the given equation with general quadratic equation:

a =2 , b=3 , c=-4

Substitute the values in the quadratic formula we get,

x = [ -3± √(3)² -4(2)(-4)]/2(2)

  = (-3 ± √9+32)/4

  = (-3 ±√41) /4

Therefore, Solution of the given equation -3x =2x² -4, using quadratic formula is (-3 ±√41) /4.

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A cylindrical container is to be constructed so that the sum of its height and its diameter is 15 feet.
a) Write an equation relating the height of the cylinder, h, to its radius, r. Solve the equation for h in terms of r.
b) The volume of a cylinder is given V=πr^2h. Use your answer in part A to express the volume of the cylindrical container in terms of r alone. Leave your expression in factored form so that it will be easier to analyze.
c) What are the values of r for which this problem makes sense? Explain.

Answers

From the characteristics of the given cylinder, we have that:

a) The equation is h = 15 - 2r.

b) The volume of the cylinder is of V = πr²(15 - 2r).

c) The values of r should be in the range of 0 < r < 7.5.

What is the volume of a cylinder?

The volume of a cylinder of radius r and height h is given according to the following equation:

V = πr²h.

The sum of the height and the diameter is of 15 feet, hence:

h + d = 15.

The diameter is twice the radius, hence:

h + 2r = 15.

For item a, the solution of h in terms of r is:

h = 15 - 2r.

Hence, in item b, the equation is:

V = πr²h.

V = πr²(15 - 2r).

For item c, there are two constraints, as follows:

r > 0, as the radius of a cylinder cannot be negative nor zero.r < 7.5, as the height must be positive.

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Do the ratios 9 6 and 12 8 form a proportion?

Answers

The ratios 9:6 and 12:8 does not form a proportion, since the products of the two are not equal.

Given we have two ratios:

9:6 and 12:8

An equation in mathematics that shows that two ratios expressed in fraction form are equivalent is known as a proportion. The rule that says a/b= c/d if and only if ad=bc allows us to assess whether two ratios, a: b and c: d, constitute a proportion.

To determine if 9:6 and 12:8 form a proportion, we use the rule of proportion.

That is, 9/12 = 8/6

If only if 9×6=12×8

Therefore,  9×6=54

and 12×8=96

since these two products are not equal, we have that 9:12 and 8:6 do not form a proportion.

Hence the ratios 9:6 and 12:8 are not in proportion.

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multiply 2^3x^3.6^3x^3

Answers

The expression is multiplied to give 1728x^6

What are index forms?

Index forms are simply defined as the power or exponent of a variable, number or element.

It is also seen as an arithmetic method of writing numbers that are too large or too small into simpler forms.

The rules of exponents are;

Add the powers if they are being multiplied the bases are the sameSubtract the exponents if they are divided and have the same base.Multiply the exponents when the bases of the forms are the same

Given the expression;

2^3x^3.6^3x^3

We have to determine the product of the index forms

First, we have to multiply the numbers, we have;

2^3 = 2 × 2 × 2 = 8

6^3 = 6 × 6 × 6 = 216

Now, substitute the values

8x³ × 216x³

Multiply through

1728x^3 + 3

1728x^6

Thus, the value is 1728x^6

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What is 1 3/4 x 2 2/3?

A. 2 1/2

B. 3 5/12

C. 4 2 / 3

D. 4 6 /7

Answers

Answer:

4 2/3

Step-by-step explanation:

1 3/4 x 2 2/3

We need to change the mixed numbers to improper fractions

1 3/4 = ( 4*1+3) /4 = 7/4

2 2/3 = ( 3*2 +2) /3 = 8/3

7/4 * 8/3

Rewriting

7/3 * 8/4

Simplify

7/3 *2

14/3

Make this a mixed number

4 goes into 14 4 times with 2 left over

4 2/3

Answer:

[tex]4\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]1\frac{3}{4} *2\frac{2}{3}[/tex]

First, make fractions as improper fractions.

[tex]\frac{7}{4} *\frac{8}{3}[/tex]

Now multiply the answers.

[tex]\frac{56}{12}[/tex]

Now make the answer a mixed number.

[tex]4\frac{8}{12}[/tex]

To write the answer in its simplest form, divide the numerator and denominator by 4.

[tex]4\frac{2}{3}[/tex]

Write an equation for the line through the points (6, 10) and (3, 5) in point-slope form.
y =
+

Answers

Point slope form of the equation through the points (6, 10) and (3, 5)  is y - 5 = 5/3 (x - 3)

Point slope form:

The point slope form of equation is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The general form of the equation is

(y - y1) = m (x - x1)

y = y coordinate of second point

y1 = y coordinate of point one

m = slope

x = x coordinate of second point

x1 = x coordinate of point one

Given,

Here we have the points  (6, 10) and (3, 5).

Through the given points we have to find the point slope form of the equation.

To find the point slope of the equation, first step is to find the slope of those points,

It can be calculated using the formula,

m = (y2 - y1)/(x2 - x1)

Where the values of (x1,y1) is (6,10) and the values of (x2,y2) is (3,5).

Then the value of slope after applying the values,

m = (5 - 10)/(3-6)

m = -5/-3

m = 5/3

Use the slope and a given point (3,5) to substitute for x1 and y1 in the point-slope form

y−y1=m(x−x1),

which is derived from the slope equation.

Then we get the equation as,

y - 5 = 5/3 (x - 3)

Therefore, the point slope form equation is y - 5 = 5/3 (x - 3).

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Write the equation of the line that passes through the given point and is perpendicular to the given line.

(Only need 20 and 22)

Answers

Answer:

4x - 5y = 30

4x - 5(0) = 30

x1 = 7.5 y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x - 5y = 30

4(0) - 5y = 30

y2 = -6 x2 = 0

(x1,y1) and (x2,y2)

(7.5,0) and (0,-6)

Solve for x

To solve for x, we solve the equation so the variable x is by itself on the left side:

4x - 5y = 30

x = 1.25y + 7.5

Solve for y

To solve for y, we solve the equation so the variable y is by itself on the left side:

4x - 5y = 30

y = 0.8x - 6

If A = 50 degrees, B = 62 degrees, and a = 4, find b
round to nearest tenth

heeeeelp!!

Answers

Using the sine rule we estimate the value of b to be approximately 4.6 units.

The sine law, often referred to as the sine formula, sine rule, or law of sines, is a trigonometrical equation that connects the lengths of any triangle's sides to its sines.

When just two angles and one side of a triangle are known, the rule of sines can be used in the triangulation process to identify the other sides. When two sides and one of the non-enclosed angles are known, it can also be used. These facts do not always prove the triangle, hence the technique in some of these circumstances provides two reasonable estimates for the enclosed angle (this is known as the ambiguous case).

The sine rule states that [tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex] , where A ,B and C are the three vertices of the triangle and a, b and c are the three side lengths.

Given A = 50° and B = 62 ° and a = 4 .

Now we use the given values to :

[tex]\frac{4}{sin50} =\frac{b}{sin62}[/tex]

or, b = 4.6104...

or , b ≈ 4.6

Hence the length of b is 4.6

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A grocery store sells a bag of 4 oranges for $2.84. How much would it cost for 5 oranges?

Answers

Answer: $3.55

Step-by-step explanation:

5 oranges * $2.84/4 oranges =

5 oranges * $0.71/1 orange=

5 oranges/1 orange * $0.71=

5/1 * 0.71=

5*0.71=$3.55

$2.84 divide that by 4 =0.71 times that by 5 =$3.55

100 Points!!
Activity
A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. Use this information to answer the following questions.

Question 1
Part A
For this situation, what is the independent variable (include units)?

Part B
What is the dependent variable (include units)?

Part C
What is the slope of the line that models this situation?

Part D
What is the y-intercept of the line that models this situation?

Question 2
Write the equation of the line that models the situation using the slope and y-intercept found in parts C and D of question 1.

Answers

Answer:

See below.

Step-by-step explanation:

The initial depth is 100 feet below sea level or 100 ft.

Diving rate is 50 feet per minute or 50 ft/min.

Question 1

Part A

The diving rate is the independent variable, which is:

50 ft/min

Part B

The depth at any point is the dependent variable, which is different after number of minutes, in ft.

Part C

The slope is the diving rate in this situation.

Part D

The initial depth is the y-intercept, the starting point.

Question 2

The equation of the line is:

y = mx + b, substituting the values,y = 50x + 100

Answer:

Independent variable: Time in minutes

Dependent variable: The elevation in feet

Slope: -50

Y-Intercept: -100

Step-by-step explanation:

Just did the assignment

find the coordinates of the point 3/10 of the way from a to b. a= (-3, -5) b = (10, 7)

Answers

[tex]\displaystyle\\Answer:\ (0,-\frac{29}{13} )[/tex]

Step-by-step explanation:

[tex]\displaystyle\\A(-3,-5)\ \ \ \ \ B(10,7) \ \ \ \ \ \lambda=3/10=0.3\ \ \ \ \ C(x_C,y_C)=?\\\\\boxed {x_C=\frac{x_A+\lambda x_B}{1+\lambda} }\ \ \ \ \ \ \ \ \ \ \boxed {y_C=\frac{y_A+\lambda y_B}{1+\lambda} }\\\\x_C=\frac{-3+0.3(10)}{1+0.3} \\\\x_C=\frac{-3+3}{1.3} \\\\x_C=\frac{0}{1.3}\\\\x_C=0\\[/tex]

[tex]\displaystyle\\y_C=\frac{-5+0.3(7)}{1+0.3} \\\\y_C=\frac{-5+2.1}{1.3} \\\\y_C=\frac{-2.9}{1.3} \\\\y_C=-\frac{2.9(10)}{1.3(10)} \\\\y_C=-\frac{29}{13}[/tex]

[tex]\displaystyle\\Thus,\ C(0,-\frac{29}{13} )[/tex]

Question
What numbers are a distance of 23 unit from 12 on a number line

Answers

Answer:

distance: 11

there are 11 points between 12 and 23, they are:

12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 and 23.

Step-by-step explanation:

How many solutions will each system of linear equati
solutions.
y = x + 6 and 3x - 3y = -18
y = −4x + 11 and −6x + y = 11
y = -2x + 5 and 2x + y = -7

Answers

y = x + 6 and 3x - 3y = -18 will have no solution (parallel lines)

y = −4x + 11 and −6x + y = 11 will have unique solution (intersecting lines)

y = -2x + 5 and 2x + y = -7 will have no solutions (parallel lines)

taking first set of equations,

y = x + 6 and 3x - 3y = -18

rearranging it in the ax+by=c form we get,

x - y = 6

3x - 3y = -18

a1=1, b1= -1, c1= 6

a2=3, b2= -3, c2= -18

now comparing,

1/3 = 1/3 ≠ 6/(-18) 0r -1/3

thus, we get a1/a2=b1/b2≠c1/c2, which satisfies the condition for parallel lines, thus there will be no solution.

taking second set of equations,

y = −4x + 11 and −6x + y = 11

rearranging it in the ax+by=c form we get,

4x+y=11

-6x+y=11

a1=4, b1= 1, c1= 11

a2=-6, b2= 1, c2= 11

4/6 or 2/3≠1/1

thus, we get a1/a2≠b1/b2, which satisfies the condition for intersecting lines, so there will be a unique solution.

taking third set of equations,

y = -2x + 5 and 2x + y = -7

rearranging it in the ax+by=c form we get,

2x+y=5

2x+y=-7

a1=2, b1= 1, c1= 5

a2=2, b2= 1, c2= -7

2/2 or 1/1 =1/1≠ -5/7

thus, we get a1/a2=b1/b2≠c1/c2, which satisfies the condition for parallel lines, thus there will be no solution.

What are intersecting and parallel lines?

Parallel lines never cross, always have distinct ends, and are always spaced at the same distance from one another. Lines that intersect are lines that have a common point and do cross.

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PLEASE HELP THIS IS DUE❗️❗️❗️❗️❗️

Answers

Answer:

Step-by-step explanation:x=-2x

What is 149.6 million in standered form

Answers

Answer:146,600,000

1.496*10^8

Step-by-step explanation:

what is the answer to (b+3f)a=g

Answers

Answer:

f= -g/3

Step-by-step explanation:

Select three names for the angle.

Answers

<B, <ABC, <CBA

based off the image

f(x)=x^2-2x-10 transforming Q. F. Form general form to vertex form​

Answers

As a result of this definition, vertices are intersection of two lines that create an angle as well as the corners of polygons and polyhedra.[tex]f(x)=x^2-2x-10[/tex]  general form to vertex form is y=[[tex](x-1)^{2}[/tex]-9]

What is a vertex?

The intersection of two or more curves, lines, or edges is known as a vertex in geometry (plural: vertices or vertexes), which is frequently represented by the letters S, P, Q, or R. As a result of this definition, vertices are intersection of two lines that create an angle as well as the corners of polygons and polyhedra.

The point where two rays start or meet, where two line segments join or meet, where two lines intersect (cross), or any other suitable arrangement of rays, segments, and lines that results in two straight "sides" coming together at one location is the vertex of an angle.

[tex]f(x)=x^2-2x-10[/tex]

      = [[tex](x-1)^{2}[/tex]-9]

Use the form, [tex]ax^{2} + bx+c[/tex]

a=1

b=2

c=-10

Consider a vertex form of parabola,

[tex]a(x+d)^{2} + e[/tex]

find the value of d, using the formula d=[tex]\frac{b}{2a}[/tex]

d=[tex]\frac{2}{2*(-1)}[/tex]

simplify the right side,

d= -1

find the value of e, using e= [tex]c-\frac{b^{2} }{4a}[/tex]

e= [tex]-10\frac{2^{2} }{4*(-1)}[/tex]

simplify the right side,

e= -9

substitute the value of a, d and e into vertex form.

y=  [[tex](x-1)^{2}[/tex]-9]

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step by step 9 divided by 1557

Answers

Answer:

0.00578034682

Step-by-step explanation:

9/1557

keep on adding .0 to the end of your number.

You will eventually get the answer.

Answer:

173.

Step-by-step explanation:

NEED HELP!! URGENT
Write the polynomial given the following zeros:
4, -3, 3, 0
Please explain process if possible.

Answers

Answer:

Step-by-step explanation:

It could be

ax(x - 4)(x - 3)(x + 3)     where a is some constant ( a could be 1 of course)

For a = 1 the polynomial is

x(x - 4)(x - 3)(x + 3)

In expanded form this is

x^4 - 4x^3 - 9x^2 + 36x

30 POINTS FOR AN EXPLANATION TOO (DETAILED PLS)

Answers

The value of x based on the equation given as 3(4x + 6) = 9x + 12 is -2.

How to illustrate the equation?

It should be noted that an equation shows that relationship between the variables that are given or illustrated in the data.

The value for x based on the equation will be:

3(4x + 6) = 9x + 12

Open bracket

12x + 18 = 9x + 12

Collect like terms

12x - 9x = 12 - 18

3x = -6

Divide

x = -6/3

x = -2

Therefore, x is -2.

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Use the expression 11 + 9k + 6n. Tell whether each statement is True or False. T or F: the expression has 3 terms. T or F: In the expression, 11 is a coefficient. T or F: In one of the terms, 6 is a factor. T or F: The expression has two variables. The truss in the illustration is in the form of an isosceles triangle. Each of the two equal sides is 9 feet less than the third side. A truss has its outer border in the shape of an isosceles triangle. If the perimeter is 21 feet, find the length (in ft) of each side. solve for x. round to the nearrest hundredth if necessary What was the impact of the "discovery" of the new world on Native Americans? What is an example of positive feedback?A) A computer screen dimming when the battery gets low. B) A herd of buffalo running away after one of them spots a lion.C) A pressure cooker valve opening to reduce the high pressure inside.D) A thermostat switching on an air conditioner when the temperature gets too hot. Suppose that 20% of the residents of Illinois have the flu and that 75% of the patients going to a doctor for testing have the flu. If a practioneer in Illinois uses a test that is 60% accurate...a. What is the probability that a patient receives a false-negative result?b. What is the probability that a patient receives a true-negative result?c. What is the probability of a false-negative result given that the result is negative? EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWERDetermine if the sequence is arithmetic. If it is, find the common difference, the 21st term, the explicit rule, the recursive rule, and the three terms in the sequence after the last one given.33, 35, 37, 39 What president in the US began theconservation efforts to preserve land?A. John F. KennedyB. Abraham LincolnC. George WashingtonD. Theodore Roosevelt What is the difference between Tara and her mom ? find the unit rate if suzie reads 45 books in 15 days what is 2 1 4 + (1 3 4 ) Suppose you apply a flame and heat one liter of water, raising its temperature 10 degrees celsius. If you transfer the same heat energy to two liters, how much will the temperature rise? According to the reading (p. 142), why did the "classical cultural tradition emerge when it did?Select one:a.It was a time of law and order, which enabled rulers to attempt to formulate new theories on leadership.b.It was a time of political chaos and uncertainty, which led people to seek answers to the question of how to bring about a stable society.c.It was a time of great prosperity, which allowed time for people to be more philosophical.d.It was a tranquil time, which helped to provide the backdrop for philosophies that focused on contemplation and peace. write an algebraic expression that represent the purchase. Baseball= $7, Sweat socks = $6, Soccer ball = $30. Mr. Mishra bought x number of soccer balls and 5 baseballs. Write an expression for the cost of Mr. Mishra's purchase. Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.(-9,7) (9,1)What is the point-slope form of the equation of the line? what is a global network of organizations and activities that supply a firm with goods and services? part 2 a. supply tree b. supply chain c. vendor tree d. vendor network e. provider network Kate and Sam are using a scanning electron microscope to study photosynthesis in algae. Which is the benefit of this type of microscope compared to a light microscope? Read each statement below. If the statement is true, write the word true in the space provided. If the statement isfalse, write the word false in the space provided.1. Circadian rhythms in plants and animals are based on Earth's rotation of about 24 hours.Tive2. The lithosphere is made up of the solid part of the upper mantle and the crust.3. Studies of seismic waves suggest that the lithosphere is probably more rigid than theasthenosphere.4. P-waves travel faster through liquids than through solids.5. According to Newton's law of gravitation, the force of attraction between any two objectsdepends on the weight and temperatures of the objects.6. Rays of the Sun that strike the Earth at near 90 produce the greatest amount of heat.7. When the Southern Hemisphere experiences summer, the Northern Hemisphereexperiences winter.8. In a standard time zone, the Sun is highest over the center of the zone at Noon.9. A satellite in polar orbit passes over a different portion of the Earth's surface with each orbit.10. The orbits of communication satellites are geosynchronous orbits. A food handler removes a pan of prepared cold sandwiches from refrigeration and places them on the prep table in the kitchen area then leaves to receive an order of supplies. What is the potential problem with this situation? franco, m.c.p., christofalo, d.m.j., sawaya, a.l., ajzen, s.a., sesso, r., 2006. effects of low birth weight in 8- to 13-year-old children. hypertension (dallas, tex. : 1979) 48, 4550.