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2 years ago

If the product of two positive integers is 180 and the larger number is 5 times the smaller number, what are the numbers

1 answer:

7 0

Let the smaller number be x
The bigger number is 5x

5x(x) = 180
5x² = 180
x² = 180÷5
x²=36
x=√36
x = 6

x=6
5x = 6 x 5
5x = 30

So the two numbers are 6 and 30

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PLEASE HELP ME What is the measure of angle y? 130° 50° 90° 40°

QveST [7]

Answer:

m<y=50

Step-by-step explanation:

The total interior angles of a triangle is 180 degrees. This is a right triangle, the right angle measures 90 degrees. The given angle is 40 degrees.

Add 90 and 40.

90+40=130

Subtract 130 from 180.

180-130=50

m<y=50

Check:

90+40+50=180

90+90+180

180=180

3 0

2 years ago

Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch piec

wariber [46]

Answer:

Step-by-step explanation:

You have right triangles, so use the Pythagorean Theorem

x = length of diagonal

8² + 10² = x²

164 = x²

x = √164 = 2√41 ≅ 12.8 in

3 0

2 years ago

What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?

Andrej [43]

Answer:

y = 9

Step-by-step explanation:

So if x = 3, we can sub that into the equation.

This gives us:

6.4 (* 3) + 2.8y = 44.4

so:

19.2 + 2.8y = 44.4

25.2 = 2.8y

y = 9

5 0

3 years ago

Read 2 more answers

HELP!!!

uranmaximum [27]

Step-by-step explanation:

10 gallons of gas is $29.50

10 gallons of gas = $29.50

10 gallons of gas / 10 = $29.50 / 10

1 gallon of gas = $2.95

Per x gallons of gas,

1 gallon of gas * x = $2.95 * x

x gallons of gas = $2.95 * x

7 0

2 years ago

A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of

romanna [79]

Answer:

The gallons of gas the tank contain now is 35 1/12.

Step-by-step explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank $=1\frac{3}{4}=\frac{7}{4}$ .

Gallons of gasoline Casey adds $=33\frac{1}{3} =\frac{100}{3}$ .

According to question:

By adding we get the total gallons of gasoline now tank contain:

$\frac{7}{4} +\frac{100}{3}$

$=\frac{7\times 3+100\times 4}{12}$

$=\frac{21+400}{12}$

$=\frac{421}{12}$

$=35\frac{1}{12}$

Therefore, the gallons of gas the tank contain now is 35 1/12.

5 0

3 years ago