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3 years ago

Lamar hikes Trail B, which is 2 1/2. He stops every 5/6. How many stops does he make?

Mathematics

1 answer:

Dahasolnce [82]3 years ago

4 0

Answer:

Step-by-step explanation:

To solve this equation, you need to convert 2 1/2 into an improper fraction:

2 1/2 = 5/2

Then, you convert this into 6ths:

5/2 = 15/6

Next, you divide 15/6 by 5/6:

15/6 / 5/6 = 3

Because Jamal wouldn't make a stop at the end (it wouldn't be considered a stop because he is done), you subtract 1:

3-1=2

The answer is 2 (hope this helps, sorry if i got it wrong)

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A machine in a deli cooks hot dogs by rotating them past a heat sourse .one rotation takes 0.75 minutes and it takes 9 minutes t

Virty [35]

I believe it would be 12 because 9 min divided by .75 a rotation gets 12 rotations

3 0

3 years ago

Thomas needs to buy a cardboard sheet that will allow him to make his 224 in 3 box. To help construct the box, he decided to cut

Slav-nsk [51]

Answer:

Part 1; The volume of the box Thomas wants to make is 224 = 2·w² + 12·w

Part 2; The zeros for the equation of the function, are w = -14, or w = 8

Part 3

The width of the box is 8 inch

The length of the box, is 14 inches

The height of the box, is given as 2 inches

Part 4

Please find attached the graph of the function

Step-by-step explanation:

Part 1

The volume of the box Thomas wants to make, V = 224 in.³

The dimensions he cuts out from the length and width = 2 in² each

The length of the box = 6 inches + The width of the box

Let l represent the length of the box and let w represent the width of the box, we have;

l = 6 + w

The height of the box, h = The length of the cut out square = 2 inches

The volume of the box, V = Length, l × Width, w × Height, h

∴ V = l × w × h

l = 6 + w, h = 2

∴ V = (6 + w) × w × 2

V = 2·w² + 12·w,

The equation of the volume of the box, V = 2·w² + 12·w, where, V = 224

∴ 224 = 2·w² + 12·w

Part 2

The zeros of the equation for the volume of the box, V = 2·w² + 12·w, where, V = 224 are found as follows;

V = 224 = 2·w² + 12·w

∴ 2·w² + 12·w - 224 = 0

Dividing by 2 gives;

(2·w² + 12·w - 224)/2 = w² + 6·w - 112 = 0

∴ (w + 14) × (w - 8) = 0

The zeros for the equation of the function, are w = -14, or w = 8

Part 3

We reject the value, w = -14, therefore, the width of the box, w = 8 inch

The length of the box, l = 6 + w

∴ l = 6 + 8 = 14

The length of the box, l = 8 inches

The height of the box, h, is given as h = 2 inches

Part 4

The graph of the function created with MS Excel is attached

4 0

3 years ago

How do you convert 6 2/3 divides by 9 2/3 into a proper fraction

iris [78.8K]

The answer to 6 2/3 divide by 9 2/3 should equal to 20/29.

4 0

3 years ago

A factory employs several thousand workers, of whom 35% are Hispanic. If the 17 members of the union executive committee were ch

Elza [17]

Answer:

as p decreases, sigma decreases.

Step-by-step explanation:

Given that 35%are hispanic. For a sample of 17 members

n = 17

p = 0.35

and the number of Hispanics on the committee would have the binomial distribution

a) Mean of X = E(x) = $np = 17(0.35)\\= 5.95$

b) Std dev X = $\sqrt{npq} =\sqrt{5.95(0.65)} \\=1.9665$

c) Here n =17 and p =0.1

$Mean = 1.7\\\sigma = \sqrt{17(0.1)(0.9)} =1.234$

d) When p = 0.01

$Mean = 0.17\\\sigma = 0.410$

Thus we find that as p decreases, sigma decreases.

8 0

3 years ago

you get $2,000 loan at 9% interest rate and pays it back in 6 months. how much intereast will you pay on the loan

notka56 [123]

Answer:

$90

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9%/100 = 0.09 per year,

then, solving our equation

I = 2000 × 0.09 × 0.5 = 90

I = $ 90.00

The simple interest accumulated

on a principal of $ 2,000.00

at a rate of 9% per year

for 0.5 years is $ 90.00.

6 0

3 years ago