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densk [106]
3 years ago
10

Lauren coordinates a construction projects for a cement company. A government project requires constructing two rectangular conc

rete slabs of dimensions 24× 24× 1 feet. Additionally, the company sends a 20% surplus of concrete to ensure the job can be completed. If a cement truck can carry a maximum of 8 cubic yards of cement, what’s the fewest number of trucks that Lauren should send? A)1 B)2 C)3 D)4 E)5
Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

7

Step-by-step explanation:

Total concrete for slabs

24 * 24 * 1 = 576 ft³

Additional 20 %

By rule of three      

if     576       ⇒    100

        x??      ⇒     20           x = 115,2

And there are 2 slabs, the total volume of concrete is:

Q(t)  = 2* (576 + 115,2 )      Q(t)  =  1382,4 ft³   (1)

If the truck can carry a maximum of 8 yd³, as 1 ft³  = 0,037 yd³

then a truck can carry a maximum of

8/ 0,037   =  216,21 ft³

Now the total quantity is 1382,4

Then  

1382,4/216,21        =  6,39

And as nobody can send a fraction of a truck , the fewest number of truck is 7

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Levart [38]

Answer:

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Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

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Check the picture below.

we know the lines are angle bisectors, so the line makes twin angles, so the line FP is making twin angles, we also know the angle FZP and the angle FYP are right-angles, as well as FP is a common hypotenuse to two right triangles, thus by the HA postulate for right triangles, triangle FPZ and triangle FPY are both congruent, so their sides are also congruents, thus PY = PZ.

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Step-by-step explanation:

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Step-by-step explanation:

Explanation:

Because

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