Answer: 19cm
Step-by-step explanation:
7+4=11
a²+b²=c²
7²+4²=c²
c²=49+16=65
√8+7+4=19cm
Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3
Step-by-step explanation:
Let x represent the number of multiple-choice questions in the math test.
Let y represent the number of open-ended questions in the math test.
The math test has 38 questions. It means that
x + y = 38
This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that
4x + 20y = 200 - - - - - - - - - -1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
48/16
y = 3
Substituting y = 3 into x = 38 - y, it becomes
x = 38 - 3 = 35
Answer:
D. ![\frac{400p}{500-p}](https://tex.z-dn.net/?f=%5Cfrac%7B400p%7D%7B500-p%7D)
Step-by-step explanation:
let's call A the number of copies sold of newspaper A and B the number of copies sold of newspaper B.
So, we can formulate the following equations from the sentence: a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each as:
A + B = 256 (1)
1A + 1.25 B = Total Revenue (2)
Then, r and p are equal to:
(3)
(4)
Isolating A from (4) and B from (1), we get:
(5)
(6)
Finally, replacing (5) and (6) in (3), we get:
![r=\frac{100A}{A+1.25B}=\frac{100(2.56p)}{2.56p+1.25(256-2.56p)}\\\\r=\frac{256p}{2.56p+320-3.2p}=\frac{256p}{320-0.64p}\\\\r=\frac{256p/0.64}{(320-0.64p)/0.64}=\frac{400p}{500-p}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B100A%7D%7BA%2B1.25B%7D%3D%5Cfrac%7B100%282.56p%29%7D%7B2.56p%2B1.25%28256-2.56p%29%7D%5C%5C%5C%5Cr%3D%5Cfrac%7B256p%7D%7B2.56p%2B320-3.2p%7D%3D%5Cfrac%7B256p%7D%7B320-0.64p%7D%5C%5C%5C%5Cr%3D%5Cfrac%7B256p%2F0.64%7D%7B%28320-0.64p%29%2F0.64%7D%3D%5Cfrac%7B400p%7D%7B500-p%7D)
Answer:
= 177.66
Step-by-step explanation:
you add all the pounds gained by group A in the 3 weeks which is 59.22 and then you multiply by 3 to give you 177.66