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AfilCa [17]
3 years ago
9

Explain how you know that 88 is a solution to the equation 1/8x=11

Mathematics
1 answer:
zhuklara [117]3 years ago
5 0
Rearrange the equation so that x = 11 divided by 1/8
Solve for x (11 divided by 1/8 = 88)
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Karl is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an
natali 33 [55]

Answer:

The width of the garden bed must be less than or equal to 4 feet.

w\leq4

Explanation:

Given that;

She has 20 feet of boards to make the sides.

The perimeter of the garden bed must not be more than 20 feet

\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}

Given;

The length is 6 feet;

l=6

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}

Therefore, the width of the garden bed must be less than or equal to 4 feet.

w\leq4

8 0
1 year ago
Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off
Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

  • She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
  • She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket  she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

   equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
4 years ago
1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate
UNO [17]

Answer:

D. 2*10^{27} kg

Step-by-step explanation:

Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg

Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")

To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.

We have 27 zeros there.

Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.

An estimate of the mass of Jupiter = 2*10^{27} kg

6 0
3 years ago
G.O is going on a hike in the mountains on a hot summer day ha has 4/5 gallon of water that he split into 4 bottles what fractio
kirill [66]

Answer:

\frac{1}{5} fraction of gallon is in each bottle.

Step-by-step explanation:

As per the given condition: G.O is going on a hike in the mountains on a hot summer day he has 4/5 gallon of water that he split into 4 bottles.

⇒ in 4 bottle  he has \frac{4}{5} gallon of water.

Unit rates defined as when are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, then they are called unit rates.

By unit rate definition,

In 1 bottle he has = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} gallon of water.

therefore, the gallon in each bottle in fraction is, \frac{1}{5}

7 0
3 years ago
To make green paint students mixed yellow paint with blue paint the table below shows how many yellow and blue drops from a drop
Airida [17]

Answer:

ans is 7

hope it helps !

...

7 0
3 years ago
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