Answer:
Step-by-step explanation:
Natral whole rational irrational
Answer:
burrito price=$8
Taco Price=$6
Step-by-step explanation:
x=burrito price
y=taco price
3x+4y=48
solve for y
y=
−3
/4
x+12
plug in
6x+2y=60
6x+2(
−3
/4
x+12)=60
6x+2(
−3
/4
x+12)=60
x=8
now plug in for x
3x+4y=48
3(8)+4y=48
y=6
y=6
x=8
burrito price=$8
Taco Price=$6
A. 6 because 30/5= 6
B. She has gotten 35 points because 7*5=35
Median mean to find the center of the data
Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
