The correct expression to show the distance between 2 and -7 is :
∣∣2−(−7)∣∣
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
2x + 3 is an example of a variable mathematical expression. Every variable must have a coefficient, which is a number multiplied by the variable. The coefficient of x in the formula 2x + 3 is the number 2, and it signifies 2 times x plus 3.
The expression that shows the distance on the number line between 2 and −7 is |2−(−7)|. If we solve the given expression to calculate the distance then it can be solved as,
||2−(−7)||
= ||2 + 7||
= ||9||
= 9
Hence, the expression that shows the distance on the number line between 2 and −7 is 9 units.
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How many solutions does this equation have?
-8-10z = -4 - 10z
Five football players ate 15/17 of a lasagna. The 5 players ate equal amounts. How much of the lasagna did each player eat?
Answer:
Step-by-step explanation:
The answer is they ate 3/17ths each since 15/5 is 3.
Which lines best fit the data graphed below?ABCNone of the lines fit the data
Given the graph, we can find the line of best fit by its definition.
A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below ...
e caun use this idea above alongside survey the graph and see which lines fall into place.
By observation,
Answer: Line B is the line of best fit.
Find the volume of a cone with a base diameter of 6 yd and a height of 8 yd.Use the value 3.14 for 1, and do not do any rounding.Be sure to include the correct unit in your answer.
ANSWER
[tex]\begin{equation*} 75.36\text{ }yd^3 \end{equation*}[/tex]EXPLANATION
The volume of a cone is given by:
[tex]V=\frac{1}{3}\pi r^2h[/tex]where r = radius of the base of the cone
h = height of the cone
The diameter of the base of the cone is twice the radius. This implies that the radius of the cone is:
[tex]\begin{gathered} D=2r \\ r=\frac{D}{2} \\ r=\frac{6}{2} \\ r=3\text{ }yd \end{gathered}[/tex]Hence, the volume of the cone is:
[tex]\begin{gathered} V=\frac{1}{3}*3.14*3^2*8 \\ V=75.36\text{ }yd^3 \end{gathered}[/tex]That is the answer.
OS 11.9 (a) 5X + OVC (c) At - 7 - 21 (e) Vmx + 5 (0) Ax + By = 0 the characterizing property for each family of lines. (1) ] = f Lan 50° + b live x-intercep(2.0) • (b) 6x + By = 24 (d) y = 4x + b (1) kx + kyk (h) m(x + 2) = y- (1) x=4
Family of lines characteristics
b) 6x + By = 24
find x-intercept
24/6 = 4. = C/A
y= 0
Then ANSWER IS
x- intercept= (4,0)
2nd part
c) Ax - 7y= 21
Find y- intercept
C/B= 21/-7 = -3
Also
x=0
Then. ANSWER IS
y-intercept is = ( 0,-3)
Help Please!!
A. 3
B. 1/2
C. 2
D. 1
Answer:
B is the answer
Step-by-step explanation:
I have an algebra question, no rush, please explain if you can, if not that is okay.
Answer:
a) [tex]6x^2 + 17x + 31 + \frac{70}{x-2}[/tex]
Step-by-step explanation:
(see attachments for explanation)
mark is trying to remeber is account number his account has 6 digits he knows that the 6 digit are 2,3,5,7,8 and 9 but he cant rember the sequen in the correct order how many possible ways are there for mark to find the correct order
Answer:
720
Step-by-step explanation:
Formula: P (n,r) = n! ÷ (n - r)!
n = Total number of objects in a set
r = The number of items you choose
Mark knows the account number includes the numbers 2,3,5,7,8, and 9. There are obviously 6 numbers in total in this set and 6 he must choose in order to have a 6 digit account number, which the problem also directly states he has.
That means P(n,r) = P(6,6)
!/Factorial = Product of all positive numbers less than or equal to the given positive number
Therefore, 6! = 1 x 2 x 3 x 4 x 5 x 6
P (n,r) = P(6,6) = 6! ÷ (6-6)! = 720
? 60 Thanks for helping me Will give good feedback
Answer: F. $1.25
Explanation:
First, we need to find the probability of the coin landing faceup and facedown. We know that landing faceup is 3 times the probability of landing facedown. Since the highest probability is 1 (100%):
[tex]\begin{gathered} 3x+x=1 \\ 4x=1 \\ x=\frac{1}{4}=0.25 \end{gathered}[/tex]With this, we know that:
probability of the coin landing faceup = 3×0.25 = 0.75
probability of the coin landing facedown = 0.25
To find the expected value of each toss, we need to solve for the total of each value multiplied by its probability:
[tex]\begin{gathered} EV=\$1(0.75)+\$2(0.25) \\ EV=\$1.25 \end{gathered}[/tex]Therefore, the expected value of each toss of Coin C is $1.25
Miami Beach and similar coastal regions are experiencing rising sea levels at a rate of 12 inches every 5 years. How many inches will the sea level rise in the next 18 years if this rate remains constant?
Answer:
43.2 inches
Step-by-step explanation:
Hello!
According to the question Miami Beach and similar coastal regions are experiencing sea levels at a rate of 12 inches every five years how many inches will the sea level rise in the next 18 years if this rate remains constant
Firstly find rate per year
In order to find rate per year, divide 12inches by 5
➟ 12/5
➟ 2.4
Lastly Multiply 2.4 by 18
➟ 2.4 • 18
➟ 43.2
So, The sea level rise in the next 18 years is 43.2 inches
find the number such that when 3/4of it is added to 3 whole number 1/2 the sum is the same as when 2/3 of it is subtracted from 6 whole number 1/2
The number such that when 3/4of it is added to 3 whole number 1/2 the sum is the same as when 2/3 of it is subtracted from the 6 whole number 1/2 is 36/17
What is a fraction?A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces. A fraction, such as the one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. A common, vulgar, or simple fraction is one that has a non-zero denominator that is displayed below (or after) the line on which the numerator is shown. Compound fractions, complicated fractions, and the mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.
The numerator and denominator of the positive common fractions are both natural integers. The denominator tells how many of those equal parts make up single unit or fraction, whereas the numerator represents the number of equal parts. Since a whole can never be made up of zero parts, denominator cannot be zero.
3/4 of it is added 3 1/2 sum is the same way as when 2/3 of it is subtracted from 6 1/2
The way I see it is
[tex]\frac{3}{4} x+3\frac{1}{2} = 6\frac{1}{2}-\frac{2}{3} x[/tex]
[tex]\frac{17}{12} x= 3[/tex]
[tex]x=\frac{36}{17}[/tex]
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What is the Area of 8 and 3 1/2
The area of the rectangle with 8 and 3 1/2 units is 28 sq. units.
How to estimate the area of the rectangle?The region occupied by a rectangle within its four sides or boundaries is known as its area. The area of a rectangle is determined by its sides. Essentially, the formula for area is equal to the product of the rectangle's length and breadth.
It is given that the length of the rectangle is 8 units and the breadth 3 1/2 units.
the area of the rectangle = length x breadth = 8 x 3 1/2 = 8 x 7/2 = 28 sq. units
So, the area of the rectangle is 28 sq. units.
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Danny and three friends went to the football game Friday night. It cost them $5 each to get into the game.
While at the game, the four of them together had two orders of nachos ($2.50 each), four large cokes ($1.50
each), four candy bars ($0.75 each), and two bags of popcorn ($1 each). At the end of the evening, they split
the $20 gasoline bill to help Danny.
Answer:
Danny spent 41 dollars, and his friends spent 5 dollars
If everyone split everything, each person would have paid $13
You didn't clarify which type of answer you wanted, but I gave the two most logical ones
Step-by-step explanation:
Tickets: 5 * 4 = 20.00
Nachos:2.5*2= 5.00
Cokes: 1.5*4 = 6.00
Candy: 75*4= 3.00
Popcorn: 1*2 = 2.00
Cost at the game: 36.00
Gas bill: 20/4 = 5 dollars per person
Food and gas: 36 + 5 = 41.00
Danny spent 41 dollars, and his friends spent 5 dollars
However, if everyone split everything, each person would have paid $13
If the value of a lies in between - 1 and 1 in the absolute value function y = a|x|, then the graph is farther from the ______________.y = -xy = xy-axisx-axis
SOLUTION:
If the value of a lies in between - 1 and 1 in the absolute value function y = a|x|, then the graph is farther from the y- axis. This is because the bounding lines of the function are the lines y = x and y = -x. Thus, when a varies from -1 to 1, the graph gets farther from the y-axis.
Final answer ;
A movie theater sells tickets for $12 for adults and $7 for children.
On one weekend, 267 people visited and the total ticket sales was $2379
How many adults attended?
Answer:
102 adults, 165 children
Step-by-step explanation:
Let a be the number of adults, and let c be the number of children. We set up and solve this system of equations:
a + c = 267---------> 7a + 7c = 1869
12a + 7c = 2379------->12a + 7c = 2379
-----------------------
5a = 510
a = 102, c = 165
find x=, if 1+x+2=5 ??
2
1) Let's evaluate 1+x+2=5
1+x +2=5 Adding the numbers on the left side
+3 = 5 S subtract 3 from both sides
x = 5-3
x = 2
2) Hence, the answer is x=2
1+ x +2 = 5
1+ 2+ 2 =5
5 = 5 True
answer if you will get full score on FINAL BIG TEST/SAT
see attachment below
Answer:
Find x first.
Since angle EOG = 90°,
x = 90 - 54 = 36°
Angle AOD = angle COB = 156° (vertically opposite angles)
y + 54 + 36 + 2y = 156
3y + 90 = 156
3y = 66
y = 22°
How do I solve this problem? Write an equation in slope intercept form, if that is not possible write it in standard form. 30. Passes through the point (-3,11) and is parallel to the line y=8
NSWER
y = 11
EXPLANATION
wo lines are parallel if they have the same slope and diffenrent y-intercepts.
In this case, we have to write the equation of a line parallel to the line y = 8, which is a line with a slope of 0 - i.e. it is a horizontal line. Therefore, the equation of the line we have to find must have the same form - y equal to a constant. This constant is the y-coordinate of the point where the line must pass through, (-3, 11).
Hence, the equation of the described line is y = 11.
The functions r and s are defined as follows.r(x)=– 2x-2s(x)=x²+2Find the value of s (r(4)).s(r(4)) = 006ХŚ
The given functions are
r(x) = - 2x - 2
s(x) = x^2 + 2
To find s(r(4)), the first step is to substitute x = - 2x - 2 into s(x) = x^2 + 2. Thus, we have
s(r(x)) = (- 2x - 2)^2 + 2
s(r(x) = (- 2x - 2)(- 2x - 2) + 2
s(r(x) = 4x^2 + 4x + 4x + 4 + 2
s(r(x)) = 4x^2 + 8x + 6
Finally, we would substitute x = 4 into s(r(x) = 4x^2 + 8x + 2. Thus, we have
s(r(4)) = 4(4)^2 + 8(4) + 6
s(r(4)) = 64 + 32 + 6
s(r(4)) = 102
The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
The water pressure on a submerged object is given by P = 64d, then the
a. The answer to the subject of the formula, "d," is d = P/64.
b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.
What is a function?
A function can be defined as an expression, law or rule that shows the relationship between two variables.
These variables are namely;
Independent variableDependent variablegiven the role as;
P = 64d
Where;
P stands for pounds per square foot of pressure.
d represents the object's depth in feet.
Let's now make the variable "d" the focus of the formula.
The coefficient of the variable "d," which is 64, is used to divide both sides of the equation. So that the variable can stand on its own, this is done.
We possess
P/64 = 64d/64
d = P/ 64
P equals 672 pounds per square foot if there is pressure.
When the variable's value is substituted into the formula, we get;
d = P/64
Then,
d = 672/64
Discover the quotient.
d = 10. 5 ft.
The value is 10.5 feet.
Therefore,
a. The answer to the subject of the formula, "d," is d = P/64.
b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.
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Solve this please !!!!
Given
[tex]1.5(x+4)-3=4.5(x-2)[/tex]To find: The value of x.
Explanation:
It is given that,
[tex]1.5(x+4)-3=4.5(x-2)[/tex]That implies,
[tex]\begin{gathered} 1.5(x+4)-3=4.5(x-2) \\ 1.5x+6-3=4.5x-9 \\ 1.5x+3=4.5x-9 \\ 4.5x-1.5x=9+3 \\ 3x=12 \\ x=\frac{12}{3} \\ x=4 \end{gathered}[/tex]Hence, the value of x is 4.
Help me answer this question.
nswer:
Explanation:
ere, we want to find the values of x for the function g where there is a local maximum
From what we have in the question, we can see some hills and some valleys
The hills represent the maximum positions while the valleys represent the
Identify the law illustrated by the following 0 + 12 m is the same as 12 m
The law that was illustrated by the following 0 + 12 m is the same as 12 m is addition of zero.
What is the addition of zero law?The addition of zero law can be described as the law that says that whenever a particular number is been added to zero then the result of that addition will be that particular number.
It should be noted that this Identity Law of Addition can be seen in the given example where zero is added to 12m which gives the result of 12m which implies that the particular number 12m is added to zero and it gives the particular number 12m as the answer.
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this week Linda got a promotion at work that came with a 4% pay increase. If now her monthly salary is $2,496, how much was he making before the raise?
We will say that x is the salary before the raise, to calculate how much the salary grows, we just have to take the given percent from x, in this case, the payment increased by 4% (0.04 expressed in decimal form) then the increased amount would be x times 0.04.
Salary increase = x*0.04 = 0.04x
Adding 0.04 x to the original salary x (before applying the increase) we get the actual monthly salary, $2,496, then we can formulate the following expression:
Current salary = original salary + salary increase
2,496 = x + 0.04x
From this equation, we can solve for x like this:
1. Factoring x on the right side of the equation:
2,496 = x(1+0.04)
2. making the sum inside the parentheses:
2,496 = x*1.04
3. Dividing both sides by 1.04:
2,496 / 1.04 = x * 1.04 / 1.04
2400 = x
x = 2400
Then, Linda was making $2400 before the pay increase
im trying to solve this 8-6·4·10÷2
-112
1) To solve this expression, let's focus on the order of operations:
[tex]8-6\cdot4\cdot10\colon2[/tex]2) According to the PEMDAS order, we have:
P ower
E exponent
M multiplication
D division
A addition
S subtraction
So we can solve this way:
[tex]\begin{gathered} 8-(6\cdot4\cdot\frac{10}{2}) \\ 8-(24\cdot5) \\ 8-120 \\ -112 \end{gathered}[/tex]Note that we've placed a parenthesis inside just to better visualize it. Since there is a product and a division, we'll start with that.
3) Hence, the answer is -112
GH has a midpoint at M(-4.5, 5.5). Point G is at
(-10, 14). Find the coordinates of point H.
Answer:
(-1, 3)
Step-by-step explanation:
We could imagine the point G and H are points on a straight line.
We know that:
Point G is at (-10, 14)
Midpoint at M (-4.5, 5.5)
To calculate the x coordinate of the mid-point, we suppose to subtract x coordinate of H from coordinate x of G, divide by 2 to get the x coordinate of the midpoint m, which is -4.5
To calculate the y coordinate of the mid-point, we suppose to subtract y coordinate of H from y coordinate of G, divide by 2 to get the x coordinate of the midpoint m, which is 5.5
Therefore, x coordinate of H:
(- 10 - x) / 2 = -4.5
-10 - x = -9
- x = 1
x = - 1
And y coordinate of H:
(14 - y) / 2 = 5.5
14 - y = 11
- y = -3
y = 3
(-4,7)(2,3)(-2,-3)(-8,1)
Answer:
it is a square
Step-by-step explanation:
if you plot the 4 points and find the distance using the distance formula between each point, the distance is 2[tex]\sqrt{13}[/tex] on all 4 sides.
Answer:
the quadrilateral is a diamond of rhombusStep-by-step explanation:
sorry if it doesnt help
A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 35 square feet. Find the length of the rectangle.
(Blank) feet.
Show your work!
Explain your answer!
No spam answers!
No incorrect answers!
No nonsense answers!
Thanks!
Based on the calculations, the length (L) of this rectangle is equal to 5 feet.
What is a rectangle?A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.Given the following data:
Area of rectangle, A = 35 square feet.
Width of rectangle, W = (L + 2) feet.
Substituting the given parameters into the formula, we have;
35 = L(L + 2)
35 = L² + 2L
L² + 2L - 35 = 0
Solving the quadratic equation by using the factorization method, we have:
L² + 7L - 5L - 35 = 0
L(L + 7) - 5(L + 7) = 0
(L + 7)(L - 5) = 0
Therefore, the length (L) of this rectangle is equal to 5 feet since the dimension can not be negative.
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7th grade math please help!
Answer:
B
Step-by-step explanation:
Percentages represent the fraction over 100.
The first half of this problem is complete, but I dont understand how to do the second part.
Okay, here we have this:
According with the provided info we obtain the following equation:
[tex]v=30\cdot(\frac{1}{2})^{\frac{t}{36}}[/tex]Let's calculate first the 20% of the initial leval:
[tex]30\cdot\frac{20}{100}=\frac{600}{100}=6mg[/tex]Now, let's replace in the equation "v" with 6 to find the estimated time:
[tex]\begin{gathered} v=30\cdot(\frac{1}{2})^{\frac{t}{36}} \\ 6=30\cdot(\frac{1}{2})^{\frac{t}{36}} \end{gathered}[/tex]And, finally let's clear t:
[tex]\begin{gathered} 6=30\cdot(\frac{1}{2})^{\frac{t}{36}} \\ \frac{6}{30}=(\frac{1}{2})^{\frac{t}{36}} \\ \frac{1}{5}=(\frac{1}{2})^{\frac{t}{36}} \\ \frac{t}{36}\ln (\frac{1}{2})=\ln (\frac{1}{5}) \\ t=\frac{36\ln\left(5\right)}{\ln\left(2\right)} \\ t=83.589 \\ t\approx84 \end{gathered}[/tex]Finally we obtain that after approximately 84 hours the valium concentration will reach 20% of it's initial level.