Answer:
Pam: $181
Amanda: $362
Julie: $452
Step-by-step explanation:
(What does Mike have to do with this problem?)
Let a = Amanda's pay
Let p = Pam's pay
Let j = Julie's pay
"Amanda made twice what Pam earned"
a = 2p
"Julie made $90 more than Amanda"
j = a + 90
j = 2p + 90
Pam earned p
Total salary
a + p + j = 2p + p + 2p + 90
Total salary
$995
2p + p + 2p + 90 = 995
5p = 905
p = 181
a = 2p = 2(181) = 362
j = 2p + 90 = 362 + 90 = 452
Answer:
Pam: $181
Amanda: $362
Julie: $452
Hello!
Answer:
1. x= 1 / y= 2 / z= -3 / <u>(1 ; 2 ; -3)</u>
2. x= 3 / y= -5 / z= 8 / <u>(3 ; -5 ; 8)</u>
Step-by-step explanation:
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
Answer:


Step-by-step explanation:
Area:
π 
π
*Square 2x*
π
*Divide by π*
*Divide by 4*
*Square root*
*Solve*
x ≈ 3.482
Now take the same equation but replace 2x with 3x
π 
Now replace x with 3.482 and solve for area.

Volume:
π
*Insert variables*
π
*Cube 2x*
π
*Multiply
on both sides*
π
*Divide by π*
*Divide by 8*
*Cube root*
*Solve*
x ≈ 2.208
Now take the same equation but replace 2x with 3x
π
Now replace x with 2.208 and solve for volume.
