Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
3/4 + 5/16
=12/16 +5/16
=17/16
=1 1/16
Answer: 3.285?
I just multiplied 1.5 and 1.19, then added the product and his height at the age of 12 so, therefore i got 3.285 as a answer
Answer:
72 sq. inch.
Step-by-step explanation:
9 inches in feet is 9/12 = 0.75 feet.
We can set up a ratio to figure out the width of the scale drawing.
![\frac{36}{0.75}=\frac{32}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B0.75%7D%3D%5Cfrac%7B32%7D%7Bx%7D)
This means <u>"if 36 feet is 0.75 feet in drawing, how much (let that be x) is 32 feet?"</u>
<u />
let's cross multiply and solve for x:
![\frac{36}{0.75}=\frac{32}{x}\\36x=32*0.75\\36x=24\\x=\frac{24}{36}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B0.75%7D%3D%5Cfrac%7B32%7D%7Bx%7D%5C%5C36x%3D32%2A0.75%5C%5C36x%3D24%5C%5Cx%3D%5Cfrac%7B24%7D%7B36%7D%3D%5Cfrac%7B2%7D%7B3%7D)
<em>So width is 2/3 feet and length is 0.75 feet.</em>
<em>Converting back to inches (since we need the area in sq. inches):</em>
<em>2/3 feet = 2/3 * 12 = 8 inches, and</em>
<em>0.75 feet = 0.75 * 12 = 9 inches</em>
<em />
<em>Hence, area is 8 * 9 = 72 sq. inches.</em>
Coefficients are the numbers in from with the variable, the constant is just a number and the degree is the exponent.