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3 years ago

6

Justin needs to make 80 illustrates for an art book. He has 40% of the illustrations. Make a bar model to show his progress. How

many illustrations does he still need to make? Explain.

1 answer:

Annette [7]3 years ago

6 0

Justin still needs to make 48 illustrations.

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X - y = 4<br> x + y = 8<br><br> The x-coordinate of the solution to the system shown is _____.

Valentin [98]

Hello :
<span>X - y = 4...(1)
x + y = 8...(2)
(1)+(2) :2x= 12

</span><span>The x-coordinate of the solution to the system shown is __6___.</span>

5 0

2 years ago

Read 2 more answers

I need help once again.

muminat

The dimensions of the prism can be 2x, 2x+3 and x+6.

We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.

Factoring out the 2x, we have
2x(2x²+15x+18).

To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:

2x(2x²+12x+3x+18)

Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))

Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))

Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))

Factoring out what these have in common,
2x(x+6)(2x+3)

8 0

2 years ago

5. Amber buys bottles of lemonade and a bag of cookies at the store. She pays a total of $9.50. The bag of cookies cost $3.25. I

Anika [276]

Answer:

each bottle was 1.25

Step-by-step explanation:

subtract 3.25 from 9.50 and then divide that answer by 5 for the 5 bottles of lemonade

3 0

2 years ago

Read 2 more answers

Find all points on the circle (x^2) + (y^2) = 676 where the slope is 5/12

borishaifa [10]

Implicit defferentation

remember that dy/dx y= dy/dx

so
take derivitive of both sides
$2x+2y \space\ \frac{dy}{dx}=0$
solve for $\frac{dy}{dx}$
minus 2x both sides
$2y \space\ \frac{dy}{dx}=-2x$
divide both sides by 2y
$\frac{dy}{dx}=\frac{-2x}{2y}$
$\frac{dy}{dx}=\frac{-x}{y}$

when is the slope equal to $\frac{5}{12}$
solve for $\frac{dy}{dx}=\frac{5}{12}$
$\frac{dy}{dx}=\frac{5}{12}$
$\frac{5}{12}=\frac{-x}{y}$
$5y=-12x$
$y=\frac{-12}{5}x$
find where the circle and this line intersects

substitute $\frac{-12}{5}x$ for y
$x^2+(\frac{-12}{5}x)^2=676$
$x^2+\frac{144}{25}x^2=676$
$\frac{25}{25}x^2+\frac{144}{25}x^2=676$
$\frac{169}{25}x^2=676$
times both sides by $\frac{25}{169}$
$x^2=100$
sqrt both sides, take positive and negative roots
x=+/-10

sub back

$y=\frac{-12}{5}x$
$y=(\frac{-12}{5})(10) \space\ or \space\ (\frac{-12}{5})(-10)$
$y=\frac{-120}{5} \space\ or \space\ \frac{120}{5}$
$y=-24 \space\ or \space\ 24$

the points are (10,-24) and (-10,24)

8 0

2 years ago

castortr0y [4]

Answer:

What?

Step-by-step explanation:

3 0

3 years ago