Answer: The width of the border is 1 inch
Step-by-step explanation:
The area of the paper is
A = 5 in* 7in = 35 in^2
The area of the photo is 24 in^2
The difference in the area is 35 in^2 - 24in^2 = 11in^2
knowing that the inside area is of 24 in, we can write it as a product of two numbers, let's use x*y = 24
then we have that:
(7 -x)*(5 - x) = 24
where x is the width of the borders.
35 - 5x - 7x + x^2 = 24
x^2 - 12x + 11 = 0
the solutions are for this quadratic equation are:
so we have two solutions
x = (12 + 10)/2 = 11
this can not be the correct option, because the border will be larger than the actual paper, so we can discard this solution of the quadratic equation.
x = (12 - 10)/2 = 1
this is the correct answer, we found that the width of the border is 1 inch.
then we have:
(7 in - 1 in)*(5 in - 1in) = 6in*4in = 24in^2
A is the answer because if we want the unit rate we do
2/3÷2/3 and 15 1/5, we can turn 15 1/5 into a improper fraction first so 76/5 and we do 76/5 ÷2/3 which is equal to
76/5×3/2=114/5
114/5 simplifies into 24 4/5.
so Naomi can travel 24 4/5 gal per mile.
Hope this helps!
Use proportions to find the height of the building-
=
The x is the height of the building.
It is over 1 (the height of the other building) because both are heights.
Similar triangles are in proportion so the other fraction is in proportion to it.
Cross multiply(x times .2) (8 times 1). You will get this equation-
.2x=8
Solve for x by dividing-
x=40
Since this was done in meters, the answer is-
The building is 40 meters.
Answer:
D. $122.04 in cash and a $206.64 check
Step-by-step explanation:
11/30 bags of mulch is needed.
<u>Step-by-step explanation:</u>
We have to find the number of bags of mulch.
7 (1/2) sq. yards need 2(3/4) bags of mulch.
So one sq. yd need 2(3/4) / 7(1/2)
We have to change the mixed fraction into improper fraction and then dividing them we will get the answer.
2(3/4) = ((2×4)+ 3)/4 = (8+ 3)/4 = 11/4
7(1/2) = ((7×2)+1)/2 = (14+1)/2 = 15/2
11/4 ÷ 15/2
It change into multiplication as,
11/4 × 2/15 = 11/30 bags of mulch is needed.
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