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Iteru [2.4K]
4 years ago
6

Dan cut a rope 18 ft long into three equal pieces which expression does not equal the length of one of the pieces in feet

Mathematics
1 answer:
geniusboy [140]4 years ago
7 0

Answer:

18 = 3x if they are one of the answers

because you have a total of 18 ft and you are dividing by 3 so then x will be the amount in total

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What is the slope of the graph of<br> y = -3x + 2?
Ne4ueva [31]

Answer: -3

Step-by-step explanation:

5 0
3 years ago
The weights of bags filled by a machine are normally distributed with a standard deviation of 0.055 kilograms and a mean that ca
Sloan [31]

Answer:

Step-by-step explanation:

Given that the  weights of bags filled by a machine are normally distributed with a standard deviation of 0.055 kilograms and a mean that can be set by the operator.

Let the mean be M.

Only 1% of the bags weigh less than 10.5 kilograms

i.e. P(X<10.5) = 0.01

corresponding Z value for P(Z<z) = 0.01 is -0.025

i.e. 10.5 = M-0.025(0.055)

Solve for M from the above equation

M = 10.5+0.025(0.055)\\=10.501375

Rounding off we get

10.50 kgs

Mean weight should be fixed as 10.50 kg.

6 0
4 years ago
A rectangle has a perimeter of 44 inches and an area of 72 square inches. What are the lengths of the sides of the rectangle?
kondor19780726 [428]
  • A rectangle has a perimeter of 44 inches and an area of 72 square inches.
  • Perimeter = 44 inches, area = 72 square inches.
  • Let the length and breadth be l and b respectively.
  • We know, perimeter of a rectangle = 2(l + b)
  • Therefore,
  • 2(l + b) = 44

or, l + b = 22

or, b = 22 - l ...(i)

  • We know, area of a rectangle = lb
  • Therefore,
  • lb = 72
  • Putting (i) in b, we get
  • l(22 - l) = 72

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

  • Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.
  • And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.

<u>Answer:</u>

<u>B)</u><u> </u><em><u>4</u></em><em><u> </u></em><em><u>inches </u></em><em><u>and </u></em><em><u>1</u></em><em><u>8</u></em><em><u> </u></em><em><u>inches.</u></em>

Hope you could get an idea from here.

Doubt clarification - use comment section.

5 0
3 years ago
Use the chart below to answer the following questions...
Scilla [17]

a) Smith family spend  \$11208 per year to raise their child from 5 to 18 years old.

b) If the family decides to send their child to a 4-year public college, they will spend \$7500 per year

c) Valnez family will be pay \$12517 per year to raise the child from birth to 18 years old

d) \$15714 is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college

Step-by-step explanation:

Part a) How much will the Smith family spend per year to raise their child from 5 to 18 years old? Round to the nearest dollar.

The cost from 5 to 18 years old is $145,700

Per year cost will be:

Divide the total amount by the number of years from 5 to 18 years. i.e 18-5 = 13 years

Cost per year: \frac{145700}{13}

Cost per year:\$11208

So, Smith family spend  \$11208 per year to raise their child from 5 to 18 years old.

Part b) If the family decides to send their child to a 4-year public college, how much will they spend per year?

The cost of 4 year Public College $30,000

Cost per year: \frac{30000}{4}

Cost per year: \$7500

So, If the family decides to send their child to a 4-year public college, they will spend \$7500 per year

Part c) How much will the Valnez family pay per year to raise the child from birth to 18 years old

Cost from Birth to 5 years old $79,600

Cost from 5 to 18 years old $145,700

Total\,\,cost = \$79,600+\$145,700\\Total\,\,cost =\$225300

Total years: 18

Cost per year: \frac{225300}{18}

Cost per year: \$12517

Valnez family will be pay \$12517 per year to raise the child from birth to 18 years old

Part d) What is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college? Round to the nearest dollar.

From birth to 18 years (found in part c)

Cost from birth to 18 years: $225300

Cost of 4-year Private College: $120,400

Total Cost: \$225300+\$120,400

Total Cost: \$345700

Total years: 18+4 = 22

Cost per year: \frac{345700}{22}

Cost per year: \$15714

\$15714 is the cost per year of raising a child from birth to 18 years old, and paying for 4 years of private college

4 0
3 years ago
Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who
Gnoma [55]

Answer:

y'(t) = k(700,000-y(t))  k>0 is the constant of proportionality

y(0) =0

Step-by-step explanation:

(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.

If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means  

<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.

Since no one has heard the news at first, we have

<em>y(0) = 0 (initial condition) </em>

We can then state the initial value problem as

y'(t) = k(700,000-y(t))

y(0) =0

8 0
3 years ago
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