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3 years ago

5

You need $2,500 as a deposit for a new car. You have already saved 50% of this amount. Which calculation could you use to check

how much you still need to save?

1 answer:

Taya2010 [7]3 years ago

7 0

well, 50% is pretty much half.

you need 2500 for the deposit, you have 50% or half of that.

whatever% of anything is just (whatever/100) * anything.

50% of 2500 is just (50/100) * 2500 or 0.5 * 2500 or 1250.

how much more do you need? well, you need the other 50%.

50% of 2500 is just (50/100) * 2500 or 0.5 * 2500 or 1250.

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Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equa

muminat

Hey there!

The answer to your question is y = -3/4x - 3

If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:

y = -3/4x + b

Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:

-6 = (-3/4)(4) + b

-6 = -3 + b

-3 = b

We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3

Hope it helps, and have an amazing day! You've got this!

6 0

3 years ago

Can someone help and explain plz

nata0808 [166]

90-69=21 degrees. This is our target answer. We'll write an equation to do this:
2x-1=21
Add 1 to each side to get:
2x=22
Divide by 2 to get that x=11

Plugging this in, we see that 2(11)-1+69=90, so our answer is correct.

:)

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3 years ago

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Cal had $15. He spent $3 on pens and $8 on a book.

nikklg [1K]

He spent $11 dollars minus tax

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3 years ago

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The dance committee of Pine Bluff Middle School earns \$72$72dollar sign, 72 from a bake sale and will earn \$4$4dollar sign, 4

Brut [27]

Answer:

The correct answer is 72 + 4 × x $\geq$ 400.

Step-by-step explanation:

The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance.

The dance will cost $400.

Let x number of tickets the committee could sell.

Total money earned is 72 + 4 × x.

The committee should have some left over money also after spending for the dance which costs $400.

Thus the inequality to determine the number of tickets the committee could sell to have money left over after they pay for this year's dance is given by,

72 + 4 × x $\geq$ 400.

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3 years ago

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find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] abou

Neko [114]

Answer:

$v = \frac{32\pi}{3}$

or

$v=33.52$

Step-by-step explanation:

Given

$f(x) = 4x - x^2$

$g(x) = x^2$

$[a,b] = [0,2]$

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

$\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx$

Integrate

$v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx$

$v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx$

Substitute values for a, b, f(x) and g(x)

$v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx$

Evaluate the exponents

$v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx$

Simplify like terms

$v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx$

Factor out 8

$v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx$

Integrate

$v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0$

$v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0$

Substitute 2 and 0 for x, respectively

$v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])$

$v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])$

$v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]$

$v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]$

Take LCM

$v = 8\pi [ \frac{16*4- 16 * 3}{12}]$

$v = 8\pi [ \frac{64- 48}{12}]$

$v = 8\pi * \frac{16}{12}$

Simplify

$v = 8\pi * \frac{4}{3}$

$v = \frac{32\pi}{3}$

or

$v=\frac{32}{3} * \frac{22}{7}$

$v=\frac{32*22}{3*7}$

$v=\frac{704}{21}$

$v=33.52$

8 0

3 years ago