Answer:
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
Step-by-step explanation:
Given that:
Alexis charges $25 for each news story and $5 per picture.
Let,
n represent the number of news stories and p represent the number of pictures.
Alexis' total charges = 
Paige charges $15 for each news story and $10 per picture.
The variables will be same.
Paige's total charges = 
Alexis and Paige's charges will be added if newspaper hire them together.
Total charges paid by newspaper = 
Hence,
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
Answer:
X-int.: (4,0)
Y-int.: (0,2)
Step-by-step explanation:
The annual interest is $150,000 x 0.15 = $22,500. The accrued interest after 4 years is $90,000. Therefore in the final judgement Jennifer would be awarded:
150,000 + 90,000=240,000.
The answer is $240,000.
Answer: See explanation
Step-by-step explanation:
1. Let the small number be x
Then, the bug number will be: x + 25
Therefore, x + x + 25 = 131
2x + 25 = 131
2x = 131 - 25
2x = 106
x = 106 / 2
x = 53
Small number= 53
Big number = x + 25 = 53 + 25 = 78
2. Let the small number be x
Then, the bug number will be: x + 14
x + x + 14 = 58
2x + 14 = 58
2x = 58 - 14
2x = 44
x = 44/2
x = 22
Small number = 22
Bug number = 22 + 14 = 36
The numbers are 22 and 36.
3. Let number of basketball sold be x
Therefore, number of football sold will be x+3.
Therefore, x + x + 3 = 27
2x + 3 = 27
2x = 27 - 3
2x = 24
x = 24/2
x = 12
12 basketball were sold
Number of footballs sold = 12 + 3 = 15
4. Let calories in bowl of soup x
Hamburger = 2 × x = 2x
Therefore, x + 2x = 738
3x = 738
x = 738/3
x = 246
There are 246 calories in bowl of soup
Calories in hamburgers = 246 × 2 = 492 calories
The missing angles are the one with labels 1, 2, 3, 4.
180 = 43 + 69 + X
180 = 112 + X
X = 68 (1)
180 = 112 + 41 + Y
180 = 153 + Y
Y = 27 (2)
180 = 44 + 66 + Z
180 = 110 + Z
Z = 70 (3)
180 = 109 + 29 + Z
180 = 138 + Z
Z = 42 (4)