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AnnZ [28]
2 years ago
7

Janice needs to re-shingle the roof of her house. One bundle of shingles costs $35.99 and covers 2.25 m2.

Mathematics
1 answer:
larisa [96]2 years ago
7 0
To calculate the number of shingles, we first calculate for the total area of the roof of Janice's house. From the figure, we can calculate the area of the two shapes: pyramid and a rectangular prism.

A(pyramid) = lw+l√[(w/2)²+h²]+w√[(l/2)²+h²]
A = 208 m²
A(prism) = 2(wl+hl+hw)
A = 293 m²

Total area = 501 m²

Number of shingles she needs = 501 m² / 2.25 m² =<span> 223</span><span>
</span>
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Ben Carson was loaned $125.00 to pay $6.00 interest for $100.00 every week ,after 3 weeks how much do he pay back to clear the d
Ghella [55]

Answer:

Total amount pay after 3 week = $147.5

Step-by-step explanation:

Given:

Amount of loan taken = $125

Amount interest per $100 = $6 per week

Find:

Total amount pay after 3 week

Computation:

Amount of interest per week = 125[6/100]

Amount of interest per week = $7.5 per week

Amount of interest in three week = 3 x Amount of interest per week

Amount of interest in three week = 3 x 7.5

Amount of interest in three week = $22.5

Total amount pay after 3 week = Amount of loan taken + Amount of interest in three week

Total amount pay after 3 week = 125 + 22.5

Total amount pay after 3 week = $147.5

8 0
2 years ago
A florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. He us
shutvik [7]

Answer:

The number of deliveries that are predicted to be made to homes during a week with 50 deliveries to business is 87 deliveries

Step-by-step explanation:

The data categorization are;

The number of home deliveries = x

The number of delivery to businesses = y

The line of best fit is y = 0.555·x + 1.629

The number of deliveries that would be made to homes when 50 deliveries are made to businesses is found as follows;

We substitute y = 50 in the line of best fit to get;

50 = 0.555·x + 1.629 =

50 - 1.629 = 0.555·x

0.555·x = 48.371

x = 48.371/0.555= 87.155

Therefore, since we are dealing with deliveries, we approximate to the nearest whole number delivery which is 87 deliveries.

4 0
2 years ago
Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a
Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0
2 years ago
A circle with a radius of 12 inches has an arc that measures 8 pi inches. Find the measure of the central angle determined by th
ivanzaharov [21]
We know that

[length of a circle]=2*pi*r
r=12 in
[length of a circle]=2*pi*12--------------> 24pi in

if 360° (full circle)--------------------> has a length of 24pi in
X-------------------------------------------> 8pi

X=8pi*360/24pi-----------> 120°

the answer is 120°

3 0
1 year ago
X=4/5 Y=4/X+SQRT X +0.2 -5X What is the value of Y
fenix001 [56]
You seem to be saying that Y=4/X+SQRT X +0.2 -5X, and that x is given as 4/5.  To evaluate <span>Y=4/X+SQRT X +0.2 -5X, replace each occurrence of x with 4/5:

y = 4 / (4/5) + sqrt(4/5) + 0.2 - 5(4/5)
   = 5            + 2 / sqrt(5)  + 0.2 - 4
Can you simplify this further?

</span>
5 0
2 years ago
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