A sporting goods store charges $27 for 3 basketballs and $90 for 5 boxes of sneakers. A coach orders 40 basketballs and 7 boxes of sneakers. How much will the coach pay for the basketballs and sneakers?

Answer:

1443.75 i think

Step-by-step explanation:

Thus,  Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.

The Franklins inherited $3,500, which they want to invest for their child's future college expenses. Using formula [tex]A = p(1+r/n)^{nt}[/tex]
where A is the value of the investment after t years, P is the principal invested, r is the annual interest rate and n is the number of times compounded per year.
an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years is to be determined.

Statistic is the study of mathematics which deal with relations between comprehensive data.

Using formula [tex]A = p(1+r/n)^{nt}[/tex]

[tex]A = 3500*(1+0.0825/12)^{12*5}\\A = 3500*(1+0.006)^{60}\\A = 3500*(1.006)^{60}\\A = 5011.25\\[/tex]
A ≈ 5011

Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.

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Answer:

c)1 goal

Step-by-step explanation:

Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.

Hope this helps.

Answer:

60³

Step-by-step explanation:

Hi again.

This time we are working with a triangular prism which is a bit trickier than a rectangular prism but it is still pretty easy once you know the formula.

The formula for a triangular prism is :

V = 1/2 x b x h x l

Or in full terms :

Volume = 1/2 x Base x Height x Length

So basically we are going to plug in the base , height, and width like we did before but this time at the end we are going to divide it in half.

So like last time, lets look at what we are given :

Base = 5

Height = 3

Length = 8

And now we put these numbers into the formula :

Volume = 1/2 x Base x Height x Length

Volume = 1/2 x 5 x 3 x 8

Lets save the 1/2 for last and do the others first.

So we can do 5 x 3 and get 15.

Then 15 x 8 and we get 120.

Now the equation is literally :

Volume = 1/2 x 120

(This is the same as 120 / 2 just in multiplication terms)

So lets do this :

120 / 2

=

60

So now we have your answer :

Volume = 60³

(Don't forget the little 3)

Again, I hope this helps!

Any questions or concerns please comment or message me ofc :)

Answer:

The slope is 1/2

Step-by-step explanation:

Hi!

Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.

First, you plot the two coordinates on the graph:

(0,0) and (2,1)

The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]

Now we plug in numbers accordingly:

[tex]\frac{0 - 1}{0 - 2}[/tex]

Simplify:

[tex]\frac{-1}{-2} \\[/tex]

Simplify:

[tex]\frac{1}{2}[/tex]

Let me know if you have any questions

We can observe that the function describing the graph is linear and so the equation is of linear nature:

[tex]y=mx+n[/tex]

Numbers m and n have special names. m is called the slope, n is called y-intercept.

From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?

The slope can be calculated using two points' coordinates that lie on the line:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}[/tex]

Now our line has an equation,

[tex]y=\frac{6}{5}x-1[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

The correct expressions that represent the total number of inches braided by robin and Olivia is,

⇒ 4 (1/3g - 3)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Robin braided g inches of a friendship bracelet.

And, Olivia braided 12 less than 1/3 the number of inches robin braided.

Now, The total number of inches braided by Robin and Olivia = Number of inches braided by  Robin + Number of inches braided by Olivia

Hence, We get;

⇒ g + 1/3g - 12

⇒ 4/3g - 12

⇒ 4 (1/3g - 3)

Thus, The correct expressions that represent the total number of inches braided by robin and Olivia is,

⇒ 4 (1/3g - 3)

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Answer:

true

Step-by-step explanation:

take away 1/3 from 5 and you get four and a third

Answer:

16-4x^2

Step-by-step explanation:

u start multiplying them by each other .

4×4= 16

4×2x= 8x

-2x×4= -8x

-2x×2x= -4x^2

now u combine like terms

8x+-8x = 0

16-4x^2

I hope u understood.... lol

Answer:

F to D and A to E

Step-by-step explanation:

if they were to continue forever they wouldn't touch but the other lines would (sorry if this isn't correct)

Answer: 8x+7

Step-by-step explanation:

The first thing you need to do is multiply (x+1) by 7 (this is the part where you use the distributive property). x times 7 is 7x and 1 times 7 is 7. So now you should have x+7x+7. Now just combine like terms. You can add x and 7x but you can't add the one because there is no variable (x) in it. Your final answer should be 8x+7. Hope this helps!

Answer:

To graph the absolute value, you need to know where the vertex is, so the numbers will be going down, then turn and start going back up, or going up and then turn and start going down, the middle point will be the vertex and should be the center point of the table.

Answer:

i think you want to know what is the total it is 87.5

Step-by-step explanation:

Answer:

You pay $168.75

You save $81.25

Step-by-step explanation:

First you find the 25% off

25% of 250 is 187.50

That is 62.50 saved

Now subtract 187.50 by 10%

10% of 187.50 is 168.75

That is 18.75 saved

Answer:

Dang this looks hard

Step-by-step explanation:

Wish could help

Answer:

The salmon can swim faster.

Step-by-step explanation:

The salmon can swim faster BECAUSE, if you multiply 37.5x60 (60 stand for seconds, and 60 seconds is a minute) it equals to 2250. If you do 2250x2, that equals 4500, and the 2 is two minutes. The swordfish swims 3,204 meters in 2 minutes, and the salmon swims 4500 meters in 2 minutes. Therefor, the salmon is faster.

Answer:

Option C - 1/81

Step-by-step explanation:

9^(-2) = 1/(9^2) [ Because a^(-m) = 1/(a^m) ]

so, 1/(9²) = 1/81.

Hope this helps you.

The correct expression which is equivalent to 9⁻² is,

⇒ 1 / 81

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 9⁻²

Now, We can formulate;

⇒ 9⁻²

⇒ 1/9²

⇒ 1 / 81

Thus, The correct expression which is equivalent to 9⁻² is,

⇒ 1 / 81

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Answer:

2.6

I am pretty sure this is right.

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

Answer:

There is a 50/50 chance that there would be a red balloon selected. If you need the decimal version, .50

or, in fraction form

1/2

Answer:

Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.

Step-by-step explanation:

Answer:

5x - 8 < 37

Step-by-step explanation:

I'm so sorry if this is wrong

Answer:

[tex]Volume = \frac{384}{7}\pi[/tex]

Step-by-step explanation:

Given (Missing Information):

[tex]y = x^\frac{3}{2}[/tex]; [tex]y = 8[/tex]; [tex]x=0[/tex]

Required

Determine the volume

Using Shell Method:

[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]

First solve for a and b.

[tex]y = x^\frac{3}{2}[/tex] and [tex]y = 8[/tex]

Substitute 8 for y

[tex]8 = x^\frac{3}{2}[/tex]

Take 2/3 root of both sides

[tex]8^\frac{2}{3} = x^{\frac{3}{2}*\frac{2}{3}}[/tex]

[tex]8^\frac{2}{3} = x[/tex]

[tex]2^{3*\frac{2}{3}} = x[/tex]

[tex]2^2 = x[/tex]

[tex]4 =x[/tex]

[tex]x = 4[/tex]

This implies that:

[tex]a = 4[/tex]

For [tex]x=0[/tex]

This implies that:

[tex]b=0[/tex]

So, we have:

[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]

[tex]V = 2\pi \int\limits^4_0 {p(y)h(y)} \, dy[/tex]

The volume of the solid becomes:

[tex]V = 2\pi \int\limits^4_0 {x(8 - x^{\frac{3}{2}}}) \, dx[/tex]

Open bracket

[tex]V = 2\pi \int\limits^4_0 {8x - x.x^{\frac{3}{2}}} \, dx[/tex]

[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{2+3}{2}}} \, dx[/tex]

[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{5}{2}}} \, dx[/tex]

Integrate

[tex]V = 2\pi * [{\frac{8x^2}{2} - \frac{x^{1+\frac{5}{2}}}{1+\frac{5}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{2+5}{2}}}{\frac{2+5}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{7}{2}}}{\frac{7}{2}}]\vert^4_0[/tex]

[tex]V = 2\pi * [{4x^2 - \frac{2}{7}x^{\frac{7}{2}}]\vert^4_0[/tex]

Substitute 4 and 0 for x

[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [{4*0^2 - \frac{2}{7}*0^{\frac{7}{2}}])[/tex]

[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [0])[/tex]

[tex]V = 2\pi * [{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*2^2^{*\frac{7}{2}}][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*2^7][/tex]

[tex]V = 2\pi * [{64 - \frac{2}{7}*128][/tex]

[tex]V = 2\pi * [{64 - \frac{2*128}{7}][/tex]

[tex]V = 2\pi * [{64 - \frac{256}{7}][/tex]

Take LCM

[tex]V = 2\pi * [\frac{64*7-256}{7}][/tex]

[tex]V = 2\pi * [\frac{448-256}{7}][/tex]

[tex]V = 2\pi * [\frac{192}{7}][/tex]

[tex]V = [\frac{2\pi * 192}{7}][/tex]

[tex]V = \frac{\pi * 384}{7}[/tex]

[tex]V = \frac{384}{7}\pi[/tex]

Hence, the required volume is:

[tex]Volume = \frac{384}{7}\pi[/tex]

The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units.

Let be [tex]f(x) = x^{5/2}[/tex] and [tex]g(x) = 32[/tex], whose point of intersection is [tex](x,y) = (4, 32)[/tex]. Solid of revolution generated by revolving the plane region about the y-axis is defined by the following formula:

[tex]V = 2\pi\int\limits^{32}_0 {y\cdot g(y)} \, dy[/tex] (1)

If we know that [tex]g(y) = y^{2/5}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^{32}_{0} {y^{7/5}} \, dy[/tex]

[tex]V = 2\pi\cdot \left(\frac{5}{12}\cdot y^{12/5}\right)\left|_{0}^{32}[/tex]

[tex]V = \frac{5\pi}{6} \cdot y^{12/5}|\limit_{0}^{32}[/tex]

[tex]V = \frac{5\pi}{6}\cdot 32^{12/5}[/tex]

[tex]V = \frac{10240\pi}{3}[/tex]

The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units. [tex]\blacksquare[/tex]

The statement is incomplete. Complete form is shown below:

Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. [tex]y = x^{5/2}[/tex], [tex]y = 32[/tex], [tex]x = 0[/tex].

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Answer:0.5n

Step-by-step explanation: its to long to explain but correct :)

Answer:

0.5n

Step-by-step explanation:

Answer:

[tex]y = 2250x + 1500[/tex]

Step-by-step explanation:

Answer:

42=3x+15

42-15+3x

27/3 = 9

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

x=-192

Step-by-step explanation:

simplyfying we get

2/3x-4= 3/4x+12

so subratcing 2/3 on both sides we get

-4= 9x/12- 8x/12+12

subtracting 12 from both sides we get

-16= x/12

x= -192

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