36. The girls' gym teacher needs to purchase
15 softballs, 5 packages of tennis balls,
and 2 soccer balls. She plans to collect
$1 from each of her 15 students to help
pay for the balls. Write and evaluate an
expression to show how much more the
teacher will have to pay.
Help

9514 1404 393

Answer:

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

The left-side expressions (all the same) can be simplified to ...

  (7^(1/5))·(49^(7/5)) = (7^(1/5))·((7^2)^(7/5))

  = (7^(1/5))·(7^(14/5)) . . . . . . matches 3rd right-side expression

  = 7^(1/5 +14/5) = 7^(15/5) = 7^3

  = 343 . . . . . . . . . . . . . . . . . . matches 1st right-side expression

__

49 is obviously not equivalent to 343.

49^(2/10) is obviously not equivalent to 49^(7/5).

Answer:

x = - 20

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] x - 5 = x ( multiply through by 4 to clear the fraction )

3x - 20 = 4x ( subtract 3x from both sides )

- 20 = x

Determine the independent variable and dependent variable in the situation

The independent variable is the "amount of water the plant receives", and the dependent variable is the "height of the plant".

Therefore, the independent variable from the phenomena is "amount of water" and the dependent variable is the "height of the plant".

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If a polygon has 20 sides, then the sum of all of its interior angles is 3240°.

Answer:

Step-by-step explanation:

Similar triangles given:

The ratio of corresponding sides:

Answer:

X = -20

Step-by-step explanation:

X = -2(6+4)

            ^ add 6 and 4 together first because they are in parentheses

-2(10)

   ^ this parenthesis means you want to multiply -2 and 10

because 2 x 10 = 20

that must mean -2 x 10 = -20

therefore, the value of X is -20

X= -20

Answer:

Step-by-step explanation:

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

Let the equation of the line be y = mx + c. Then the equation of the parallel line that is parallel to the line y = mx + c is given as,

y = mx + d

Line k has an equation of y= (10/3)x+9. Line l includes the point (–3, –2) and is parallel to line k.

y = (10/3)x + d

The equation of the line is passing through (–3, –2). Then the equation of the parallel line is given as,

–2 = (10/3)(–3) + d

–2 = –10 + d

d = 10 – 2

d = 8

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

More about the equation of a parallel line link is given below.

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Step-by-step explanation:

$864 of 4%

864/100 x 4

=8.64 x 4

=34.56

Therefore, the total income tax deduction is 34.56.

Answer:

The distance between A and B is 8.5 after rounded to the nearest tenth

Step-by-step explanation:

The formula you always use for distance between points is as pictured.

Point A is (-6, 4), this is x1 and y1

Point B is (2, 1), this is x2 and y2

(2-[-6])^2 + (1-4)^2

since 2 negatives make a positive, 2 - -6 = 8

1 - 4 = -3

This makes 8 squared and -3 squared

8x8 = 64

-3x-3 = 9

64 + 9 = 73

the square root of 73 = 8.544003745

After rounding to the nearest tenth, it is 8.5

I hope this helps you! Good luck :)

Answer:

yes

Step-by-step explanation:

The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2).

As per the given data, the figure of two rectangles has been attached below.

According to the graph,

The perimeter of the rectangle ABCD = 2(3 + 4) = 2(7) = 14 units

The perimeter of the rectangle WXYZ = 2(6 + 8) = 2(14) = 28 units

The area of the rectangle ABCD = (3 × 4) = 12 units²

The area of the rectangle WXYZ = (6 × 8) = 48 units²

The rectangles are similar because the ratio of length to width is equivalent.

The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.

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She paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.

Given that Jenelle bought a home for $ 320,000, paying 24% as a down payment, and financing the rest at 5% interest for 30 years, to determine how much money did Jenelle pay as a down payment, what was the original amount financed, what is her monthly payment, and the total amount of money she will spend on this home, the following calculations must be made:

Therefore, she paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.

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Answer:

y=1/2+2

Step-by-step explanation:

Answer:

-1500

Step-by-step explanation:

If there are 3 people in the company then you can divide 4500 by 3 and you get 1500

Answer: c

Step-by-step explanation: -1,500. - is negative because they suffered a lost.

let's solve for f :

Taking reciprocal of both sides :

Answer: 39

Step-by-step explanation: 34-18=16+23=39. Remember, 2 negatives equals a positive.

Answer: 39 cus 34-18=16+23=39

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

=15+21+17+26+18+29/

/ 21

=126/21

=6

Answer:

60 cubic centimetres

Answer:

4+2=6-3

Step-by-step explanation:

Answer:

y=-0.5x+3.5

Step-by-step explanation:

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

[tex]H_0: \mu \leq 220000[/tex]

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

[tex]H_1: \mu > 220000[/tex].

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

For this problem:

[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]

Then, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]

[tex]t = 2.69[/tex]

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at https://brainly.com/question/13873630

Answer:

f=4-3t^2/t+1

Step-by-step explanation:

Answer:

-72=-72

Step-by-step explanation:

5n-42=12n

n=-6

5*(-6)-42 = 12*(-6)

-30-42=-72

-72=-72

So, n= -6 is the right number for this equation

Answer:

So number of Adult tickets sold = A = 26.

Step-by-step explanation:

Define A, C, S as

A = number of adult tickets,

C = number of children tickets,

S = number of Senior tickets.

Then, by the statement of the problem, we have that

A = 8 + C,

S = 3C,

3C + 4S + 6A = 426,

so that

3C + 4(3C) + 6(8 + C) = 426

3C + 12C + 48 + 6C = 426

21C + 48 = 426

7C + 16 = 142

7C = 126

C = 126/7 = 18

A = 8 + 18 = 26

S = 3(18) = 54

Answer:

Step-by-step explanation:

The perimeter is:

Total:

Correct choice is A

Answer:

A is correct

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Domain: {0,1,2,4}

Range: {0, 1, 4, -6}

Step-by-step explanation:

Hi there!

The domain is the set of all x-values in a relation.

{(0,0),(1,1),(2,4),4,-6)}

The x-values are 0, 1, 2, and 4.

Domain: {0,1,2,4}

The range is the set of all y-values in a relation.

{(0,0),(1,1),(2,4),4,-6)}

The y-values are 0, 1, 4 and -6.

Range: {0, 1, 4, -6}

A function occurs when there is only one y-value for every x-value. This is the case for this relation, so therefore it is a function.

I hope this helps!

Answer:

33

Step-by-step explanation:

12