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3 years ago

Jamya mixes 3 cups of soda with 5 cups of punch. How much does she mix with 18 cups of punch?

Mathematics

1 answer:

vladimir2022 [97]3 years ago

7 0

Answer:

Well we can make a proportion in this scenario

So 3 cups of soda to 5 cups of punch

And how much soda for 18 punch.

Well we can do this

make “x” the amount of soda

And then make a proportion

3/5 = x/ 18

Now solve

You can cross multiply

54=5x

x=10.8

10.8 soda

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What is the inverse of f(x)=3x-1

tatiyna

Answer:

$\frac{(y + 1)}{3}$

Step-by-step explanation:

Call $f(x) = y = 3x - 1$

Now, $y + 1 = 3x$

$\implies \frac{y + 1}{3} = x$

This is the inverse of the given function.

You can cross - verify it by substituting a point, say, $(1,3)$

We see that the point satisfies both the equations.

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4 years ago

what is the surface area of a rectangular prisim with a base length of 9 yd, base width of 7 yd,and a height of 4 yd?

krek1111 [17]

Answer:

254 yds²

Step-by-step explanation:

There are 6 faces of the prism we need to calculate the area of for a rectangular prism.

The base and top of the prism measure 9x7 yards each, so there are two faces with an area of 63 yds² (9 x 7 = 63)

The sides of the prism measure 4x7 yards each, so there are two faces with an area of 28 yds² (4 x 7 = 28)

The front and back face of the prism measure 9x4 yards each, so there are two faces with an area of 36 yds² (9 x 4 = 36)

The total surface area is

2(63) + 2(28) + 2(36) = 254 yds²

3 0

4 years ago

Read 2 more answers

I need help with #39-42, please explain.

shusha [124]

For question 39 & 40, we need to use the below equation to complete the sentence

$l=m\sqrt{n}$

Question 39:

When ' n ' increase, the $\sqrt{n}$ will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As $n$ increases and $m$ stays constant , $l$ increases

-------

Question 40:

Solving the equation for m, we get

$l = m\sqrt{n} \\ \\ m=\frac{l}{\sqrt{n}}$

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As $l$ increase and $n$ stays constant, $m$ increases

------

For question 41 & 42, we need to use the below equation to complete the sentence

$r=s^2/t^2$

Question 41:

When $s$ is triped, the equation will be...

$r=(3s)^2/t^2=\frac{3^{2}s^{2}}{t^2} =9s^2/t^2$

Solution for question 41:

If $s$ is tripled and $t$ stays constant, $r$ is multiplied by 9

--------

Question 42:

When t is doubled, the equation will be...

$r=s^2/(2t)^2=\frac{s^2}{2^2 \cdot t^2}=\frac{s^2}{4t^2}\\ \\ r=0.25s^2/t^2 \; \; (or) \; \; \frac{1}{4} \cdot \frac{s^2}{t^2}$

Solution for 42:

If $t$ doubled and $s$ stays constant, $r$ is multiplied by 1/4 or 0.25

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3 years ago

Find a.b. a=[6,-2,3], b=[2,5, -1]

kotykmax [81]

Answer:

a.b=[-1]

Step-by-step explanation:

This is a dot product of a and b

a.b =[6,-2,3].[2,5, -1] = [12-10-3] =[-1]

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3 years ago

PLEASE HELP ASAP ITS GEOMETRY

stiks02 [169]

Answer:

I don't realy know

Step-by-step explanation:

I think it's B

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1 year ago