Enrolement increased by 30% that means last year=100%
incease of 30%=30+100=130% now
now=182
percent means parts out of 100 so
130%=130/100=13/10
182=13/10 of x (x represents the number last year)
of means multipy so
182=13/10 times x
multiply both sides by 10/13 to clear fraction
182 times 10/13=x=140
140 students last year
Answer:
B.
The graph is stretched vertically and shifted to the left 1 unit.
Answer:
cups
Step-by-step explanation:
Given: A baker is using a cookie that calls for 2
cups of flour to yield 36 cookies.
To find the number of flour will the baker need to make 90 cookies, we form a proportion.
Let's convert 2
to improper fraction.
![2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B%282%2A4%29%20%2B%201%7D%7B4%7D%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
Let "x" be the amount flour to make 90 cookies
<u>Amount of Flour</u> <u>Number of cookies</u>
36
x 90
Now form a proportion.
![\frac{\frac{9}{4}}{x} = \frac{36}{90}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B9%7D%7B4%7D%7D%7Bx%7D%20%3D%20%5Cfrac%7B36%7D%7B90%7D)
Now let's cross multiply, we get
![\frac{9}{4} *90 = 36x\\\](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D%20%2A90%20%3D%2036x%5C%5C%5C)
![\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}](https://tex.z-dn.net/?f=%5Cfrac%7B810%7D%7B4%7D%20%3D%2036x%5C%5Cx%20%3D%20%5Cfrac%7B810%20%7D%7B4%2A36%7D%20%5C%5Cx%20%3D%20%5Cfrac%7B810%7D%7B144%7D%20%5C%5C%5C%5Cx%20%3D%205%20%5Cfrac%7B90%7D%7B144%7D)
Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get
x =
cups
So the baker needs
cups to make 90 cookies.