Hello! We know that we have $400. So 23 ten dollar bills is equal to $230. How? We multiply 23 x 10 and get $230. Then, we have 46 dimes. A dime is worth 10 cents so we multiply 46 x 10 which equals $4.60. And of course we have the 19 cents. Now we add. 400 + 230 + 4.60 + 19 = $653.6.
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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 %
Let this number be x. The next number is (x+1). And their sum is 57. Then, we have to solve this equation x+x+1=57
Emily's number was 28
For the first one, we will have to factor out the numbers. So 2 times 4x is 8x and 2 times 5 is 10. Our new expression will now be 8x + 10 = 8x + 10. Now, since these are equal, x must equal 1.