If you have $1400 ).and you spend 1/8of it on school supplies and 1/4 of it on groceries and 5/16 of it on clothes what is the total fraction spent

Answer:

-1.5 goes in between -2 and -1

3/2 goes in between 2 and 1 but closer to 1

-2/3 goes in between 0 and -1 but closer to 0

I’m not very sure about -4/3 but I think it goes in between -2 and -1 but closer to -1 than 3/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it reflects over the y axis

The exponential function which shows the exponential growth rate of graduating women is: A(t) = A₀e∧(0.037t).

The following equation can be used to calculate an exponential function again for number of women graduating from four-year colleges in t years after 1930:

A(t) = A₀e∧(rt)

In which A₀ is the starting point and r is the exponential growth rate expressed as a decimal.

In 1930, 48780 women received a bachelor's degree.

This implies that;

A₀ = 48780

In 2004, approximately 756000  people

The year 2003 is 73 years after 1930, that also means

Using the equation as an example:

A(t) = A₀e∧(rt)

Put the values;

756000 = 48780 e∧(73r)

e∧(73r) = 756000/ 48780

e∧(73r) = 15.49

Taking log both side;

73r = ㏑ 15.49

r = 2.7/7

r = 0.037

The function becomes;

A(t) = A₀e∧(0.037t)

Thus, the exponential function which shows the exponential growth rate of graduating women is: A(t) = A₀e∧(0.037t).

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Answer:

x = 11°

Step-by-step explanation:

Hello!

These angles are called vertical angles or angles opposite to each other during the intersection of two lines.

Vertical angles are equal to each other, so we can set the expressions equal to each other and solve for x.

The value of x is 11°.

Answer:

[tex]x=\boxed{11}[/tex]

Step-by-step explanation:

Vertical Angle Theorem

The opposite vertical angles of two straight intersecting lines are congruent.

Therefore, equate the expressions and solve for x:

[tex]\boxed{\begin{aligned}(9x-4)^{\circ}&=(8x+7)^{\circ}\\9x-4&=8x+7\\9x-4-8x&=8x+7-8x\\x-4&=7\\x-4+4&=7+4\\x&=11\end{aligned}}[/tex]

Therefore:

[tex]x=\boxed{11}[/tex]

Answer:

Step-by-step explanation:

it can be simplified to [tex]\frac{sec \theta}{cot\theta+tan\theta} =sin\theta[/tex]  . if you multiply each side by the denominator, it becomes [tex]sec\theta=\frac{sin^2\theta}{cos\theta} + cos\theta[/tex] since [tex]tan\theta=\frac{sin\theta}{cos\theta}[/tex] and cotan is the reciprocal of that. Because [tex]sec\theta=\frac{1}{cos\theta}[/tex] so multiplying each side gives [tex]1=sin^2\theta+cos^2\theta[/tex], and [tex]sin^2\theta+cos^2\theta[/tex] is equal to 1.

The greatest number of equations are available in all the types specified in option A), option B) and option C). So 'all of the above' is the correct choice.

As given in the question,

Let us discuss

option A) Equations with no solutions

examples are:

x+ y = 0

x+ y = 1

Many such pairs of simultaneous linear equations can be formulated and number of such equations possible is infinite.

Let us discuss

option B) Equations with infinitely many solutions

example:

x+ y = 0

Number of such equations possible is infinite.

Let us discuss

option C) Equations with exactly one solution

example:

x=4

Number of such equations possible is infinite.

Therefore, the greatest number of equations are available in all the types specified in option A), option B) and option C). So 'all of the above' is the correct choice.

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Considering the definition of an equation and the way to solve it, the number of monthly movies watched that would make the two plans have an equal monthly cost is 26.

An equation is an algebraic equality in which there are unknowns with unknown value. The unknown represents the number, if any, that makes the equality true. This unknown number is the solution of the equation.

This is, the solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

Being "x" the number of monthly movies watched, you know that:

If the two plans have an equal monthly cost, the equation in this case is:

A= B

34 + 2x= 8 + 3x

Solving:

34 - 8= 3x - 2x

26= x

Finally, 26 monthly movies watched would make the two plans have an equal monthly cost.

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This polynomial have 5 degree , 4 terms and one connstant

Algebraic expressions called polynomials only have non-negative integer powers for their variables. A polynomial is, for instance, Expressions with one or more terms that have a non-zero coefficient are called polynomials. The terminology include constants, exponents, and variables. The "leading term" refers to the first term of the polynomial in standard form. A standard polynomial is one in which the first term, which has the highest degree, is followed by succeeding terms that are organized in descending order of the exponents or powers of the variables, then by constant values. A "coefficient" is a number that has been multiplied by a variable.

Given that : [tex]9m^{5}+3n^{2} +2q^{2} +1[/tex]

[tex]9m^{5}+3n^{2} +2q^{2} +1[/tex]

This polynomial have 5 degree , 4 terms and one connstant

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By using a translation rule, the coordinates of C' are (- 1, - 2). (Correct choice: E)

Triangles are defined by the locations of its three vertices on Cartesian plane and we must find the locations of the images of the three vertices after applying a translation rule. In this case, we must translate each vertex  2 units upward and 4 units to the right. The general translation formula is described below:

P'(x, y) = P(x, y) + T(x, y)

Where:

If we know that C(x, y) = (- 5, - 4) and T(x, y) = (4, 2), then the location of the image of point C is:

C'(x, y) = (- 5, - 4) + (4, 2)

C'(x, y) = (- 1, - 2)

The coordinates of C' are (- 1, 2).

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The most appropriate choice for fraction will be given by

Fraction of banana bread will be donated to the homeless is [tex]\frac{1}{4}[/tex]

What is a fraction?

Suppose there is a collection of objects and some part of the objects are taken from the collection. The part which has been taken is called fraction. In other words, part of a whole is called fraction.

The upper part of the fraction is called numerator and the lower part of the fraction is called denominator.

Here,

Total number of banana breads 16

Number of adults who got banana bread = 6

Number of Children who got banana bread = 6

Total number of children and adult who got banana bread = 6 + 6 = 12

Number of banana breads given to the homeless = 16 - 12 = 4

Fraction of banana bread given to the homeless = [tex]\frac{4}{16}[/tex]

                                                                                 = [tex]\frac{1}{4}[/tex]

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The line on the graph is a function

The given parameter is the graph

From the graph, we can see that the curve or the line is a quadratic function

As a general rule, all lines represented by a quadratic function are functions

This implies that the line is a function

It should be noted that:

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

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Answer:

x < -4 or x > -2

Step-by-step explanation:

[tex]2 |x + 3| + 1 > 3[/tex]

[tex]2 |x + 3| > 2[/tex]

[tex] |x + 3| > 1[/tex]

x + 3 > 1 or x + 3 < -1

x > -2 or x < -4

Answer:

Step-by-step explanation:

Answer:

-20j+ 6j=-14j

-14j + 18j=4j

4j-9j=-5j

-5j=-3-17

-5j =-20

j =-20÷-5

j =4

An ordered stem-and-leaf plot has the following results:

0=4 counts

1=7 counts

2=6 counts

3=4 counts

4=1 count

The shape of the distribution is skewed to the right

Part 1

An ordered stem-and-leaf plot:

                              Total Counts          

0 | 3 4 5 7             | 4

1 | 2 2 4 4 5 7 7    | 7

2 | 0 3 4 4 5 8      | 6

3 | 3 4 7 9             | 4

4 | 1                       | 1

Part 2

Shape of distribution

When the data in the stem-and-leaf plot given above is plotted in graph, the tail of the plot will be on the right. Hence, the shape of the distribution is skewed to the right

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Notice that

Then, the answer is c=25.

The issue price (present value) of the bonds issued by Frontier World is $42,223,423.81.

The present value refers to the discounted future cash flows of the bonds (including interests and the repayment of the bonds).

The present value represents the current price of the bonds, at which they are issued.

The present value can be computed using the online finance calculator.

N (# of periods) = 20 (10 x 2)

I/Y (Interest per year) = 6% (Market Rate)

PMT (Periodic Payment) = $1,375,500

FV (Future Value) = $39,300,000

Bond Interest Rate = 7%

June 30 = $1,375,500 ($39,300,000 x 3.5%)

Dec. 31 = $1,375,500 ($39,300,000 x 3.5%)

Results:

Present Value (PV) = $42,223,423.81

Sum of all periodic payments = $27,510,000 ($1,375,500 x 20)

Total Interest = $24,586,576.19

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Required: 1-a. If the market rate is 6%, calculate the issue price. (FV of $1, PV of $1, FVA of $1, and PVA of $1)

Answer:

x < 0.5

Step-by-step explanation:

2(1 - x) > 2x ( divide both sides by 2 )

1 - x > x ( add x to both sides )

1 > 2x ( divide both sides by 2 )

0.5 > x , that is

x < 0.5

The expression can be rewritten as:

2*(n - 3)

This is twice an integer number, so this is an even number

Here we know that n is an integer larger than 1, and we have the expression:

n² - (n - 2)² - 2

Now, remember that for any integer m, 2m is always an even number.

Expanding the term in the middle of the expression we get:

n² - (n - 2)² - 2

n² - (n² - 4n + 4) - 2

4n - 4 - 2 = 4n - 6 = 2*(n - 3)

Integer numbers are closed under addition, then n - 3 is an integer, so we have:

2*(n - 3)

This is twice an integer, so this is an even number.

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Answer: The graph that matches the equation:

To transform A to A', B to B' and C to C' rotate the triangle ABC clock- wise 90° about the A.

Simple polygons with three sides and three internal angles make up triangles.

It is one of the fundamental geometric shapes in which the three vertices are connected to one another.

Triangles come in 4 different varieties.

1. Equilateral: Equilateral triangles have three equal sides and three identical 60-degree angles.

2. Isosceles: Isosceles triangles have equal sides and angles on both of their two sides.

3. Right-angled: In right-angled triangles, one of the angles is a right angle (90°).

4. Scalene: Triangles with this property do not have equal sides or angles.

To transform A to A', B to B' and C to C' rotate the Triangle ABC 90° clock- wise about the A.

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The ratios, 1 : 4 and 2 :6 are not equivalent.

Ratio shows the relationship that exist between two or more numbers. Ratio is used to compare two or more numbers. It shows the number of times that one value is contained within other value(s).

In order to determine if the ratios are equivalent, express 2 : 6 in its simplest form. To do this, divide 2 and 6 by 2, a common  multiple of both numbers.

2 :6 in its simplest form is 1 : 3

Since, 1 : 3 is different from 1 : 4, the ratios are not equivalent.

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By using subtraction, we get that, the total yardage for the drive was that they gained 7 yards.

We are given that:

On a drive,

A football team first gains = 3 yards.

Then it lost = 11 yards.

Then it again gained = 15 yards.

We need to find its total yardage.

For this, we will subtract the yards lost from the yards gained by the team.

So, we get that:

total yardage = 3 + 15 - 11

total yardage = 18 - 11

total yardage = 7 yards.

Therefore, by using subtraction, we get that, the total yardage for the drive was that they gained 7 yards.

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Answer:

The total of all calories in a coffee with milk and sugar, is somewhere between 120 and 180. A couple of cups per day could easily add a lot of calories to the 2 000 calories needed per day.

Step-by-step explanation:

Answer:

A standard coffee with whole milk and sugar contains around 140 calories. This number can increase depending on the type of milk used, as well as the amount of sugar added.

Step-by-step explanation:

we can find the number of students passed in both subject by following method.

Solution;

a)The expression for the total cost for all four classes can be given as 32s + 200. b) the rational expression for the cost per student is 2(4s+25)/s c) if each class has 20 students then the cost per student is equal to $10.50.

a) Total cost expression can be determined as follows:

total fees of admission + fees of bus = total cost

total cost = (4s × 8) + 200

total cost = 32s + 200

b) A rational expression to determine the cost per student can be calculated as follows:

cost per student = total cost ÷ the total number of students

cost per student = 32s + 200 ÷ 4s

We now factor the numerator by using its GCF;

cost per student = 4 × 2 (4s + 25) / 4×s

cost per student =2 (4s + 25) / s

c) Now using this expression we can find the cost per student if each class has 20 students;

cost per student = 2 (4s + 25) / s

cost per student = 2 ( 4×20 + 25)/ 20

cost per student = 2 ( 80 + 25) / 20

cost per student = 2 (105) / 20

cost per student = 210 / 20 = $10.50

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The triangle is Isosceles and Acute.

From the given data, the coordinates of the three points of the triangle are, A(2, 3), B(8, 3), and C(5, 6).

applying the distance formula, D = √((x2-x1)²+(y2-y1)²) the distance AC and BC are obtained as 3√2 and the distance AB as 2√3.

From this, it can be concluded that AC=BC≠AB.

thus since two of the sides, AC and BC are equal and the third side AB is not equal to AC and BC hence the given triangle is an isosceles triangle.

To check whether the given triangle is right, acute.

A right triangle is a triangle with one of its angles equal to 90 degrees.

An acute triangle is a triangle with all three of its angles less than 90 degrees.

An obtuse triangle is a triangle with at least one of its angles greater than 90 degrees.

To check whether the given triangle is right, acute, or obtuse we use the law of cosines.

To find the angle of a triangle given 3 of its sides, let the angle between the sides AB and AC be A then,

cos(A) =  (AC² + AB² − BC²)÷(2×AB×AC).

cos(A) = (3√2² + 2√3² - 3√2²)÷(2×2√3×3√2) =2÷√6

[tex]cos^{-1}[/tex](2÷√6) = 39.182.

Let the angle between the sides AB and BC be B then,

cos(B) =  (BC² + AB² − AC²)÷(2×AB×BC).

cos(B) = (3√2² + 2√3² - 3√2²)÷(2×2√3×3√2) =2÷√6

[tex]cos^{-1}[/tex](2÷√6) = 39.182.

Let the angle between the sides AC and BC be then,

cos(C) =  (AC² + BC² − AB²)÷(2×AC×BC).

cos(C) = (3√2² + 3√2² - 2√3²)÷(2×3√2×3√2) =2÷3

[tex]cos^{-1}[/tex](2÷3) = 53.544.

Since all the angles A, B, and C is less than 90 degrees the triangle is acute.

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Answer:

57

Step-by-step explanation:

75/100 *76

5700/100 =57