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gladu [14]
3 years ago
9

The ratio of the number of cookies to the number of pastries in a box is 3:2. Which table shows the possible amounts of cookies

and pastries in a box, given the ratio?
Cookies Pastries
3 2
9 7
12 10
15 13

Cookies Pastries
3 2
6 4
12 8
24 16

Cookies Pastries
3 2
6 6
12 8
24 10

Cookies Pastries
3 2
9 6
12 12
15 24
Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0
The second one is the answer

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A 5-gallon jug of cleaning solution contains 6% bleach. How much pure water should be added to it to dilute to 4% bleach?
mihalych1998 [28]
Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach?  well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.

if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.

the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.

\bf \begin{array}{lcccl}
&\stackrel{gallons}{quantity}&\stackrel{\textit{\% of bleach}}{amount}&\stackrel{\textit{gallons of bleach}}{amount}\\
&------&------&------\\
\textit{pure water}&x&0.00&0x\\
\textit{6\% solution}&5&0.06&0.3\\
-----&------&------&------\\
mixture&y&0.04&0.04y
\end{array}
\\\\\\
\begin{cases}
x+5=\boxed{y}\\
0x+0.3=0.04y\\
---------\\
0.3=0.04\left( \boxed{x+5} \right)
\end{cases}
\\\\\\
0.3=0.04x+0.2\implies 0.1=0.04x\implies \cfrac{0.1}{0.04}=x\implies 2.5=x
3 0
3 years ago
The length of Marshall's poster is 2 times its width. If the perimeter is 72 inches, what is the area of the poster?
lesya [120]
x-width\\2x-length\\\\2x+2\cdot2x=72\\2x+4x=72\\6x=72\ \ \ \ |:6\\x=12\\\\2x=2\cdot12=24\\\\Area=24\cdot12=288\ in^2
3 0
3 years ago
Read 2 more answers
Given g(x)=x^2 and h(x)= x-3 find (g ∘ h)(x)
DerKrebs [107]

Answer:

<h2>(g ∘ h)(x) = x² - 6x + 9</h2>

Step-by-step explanation:

g(x) = x²

h(x) = x - 3

To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)

That's

(g ∘ h)(x) = ( x - 3)²

= x² - 3x - 3x + 9

We have the final answer as

<h3>(g ∘ h)(x) = x² - 6x + 9</h3>

Hope this helps you

5 0
3 years ago
Please help me im crying over this question
denis23 [38]

Answer:

y = 2x - 2

Step-by-step explanation:

y= mx+b

m= slope

b= y-intercept (point on line where x= 0.... or the point where the line hits the y-axis)

Determine slope by using slope formula or by counting boxes

By counting boxes, you can see that each point is 2 units up, 1 unit right (2/1)

the slope is 2

the point where the line is touching the y-axis is (0, -2)

m = slope = 2

b  = y-intercept = -2

y = 2x + (-2) OR y = 2x -2

5 0
3 years ago
1/5(150x-80y+50-50x-25y+20)
ExtremeBDS [4]
1/5 (150x - 80y + 50 - 50x - 25y + 20) = 20x - 21y + 14
what I did is combined the like terms and multiplied each term within the parenthesis by .2
5 0
3 years ago
Read 2 more answers
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