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3 years ago

Find the solution to this equation X/-2=18

Mathematics

1 answer:

pochemuha3 years ago

5 0

Answer:

x = -36

Step-by-step explanation:

We need to undo what is being done to the variable by doing the opposite. It is being divided by -2 so we need to multiply both sides of the equation by -2.

1. x/-2 = 18

2. (x/-2) * -2 = 18 * -2

3. x = -36

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During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints

AnnyKZ [126]

The given data can be tabulated as:

number of days,x length of tunnel (ft), y

0 225

5 350

20 725

30 975

55 1,600

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

The complete equation is:

y = 25x + 225

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

Therefore the length of the completed tunnel is 2,375 feet.

5 0

4 years ago

A car salesman has 8 used cars for sale. They have a mean price of $4500. What is the total price of all 8 cars?

muminat

Answer:

$36000

Step-by-step explanation:

We have a mean price of $4500 this means that in the 8 cars we have cars with higer and lower prices than $4500 but that if we have to give the same price to 8 cars that would be $4500. Then to know the total price of the all 8 cars we just have to multiply:

$\$4500\cdot 8=$36000$

7 0

3 years ago

A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (

denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

4 0

3 years ago

Please help due today!!!

raketka [301]

Answer:

djdjdjdj

Step-by-step explanation:

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6 0

3 years ago

4.8.4 Raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material i

forsale [732]

Answer:

700 lbs and 3.742

Step-by-step explanation:

Given that raw materials are studied for contamination. Suppose that the number of particles of contamination per pound of material is a Poisson random variable with a mean of 0.02 particle per pound.

a) To get 14 particles of contamination we must have

expected number of pounds = $\frac{14}{0.02} \\=700$

b) Since for 700 pounds particles expected are 14 we can say in a Poisson distribution mean and variance are equal

i.e. Var (700 lbs to obtain 14 particles of contamination ) = 14

Std deviation = $\sqrt{14} =3.742$

5 0

3 years ago