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liraira [26]
3 years ago
13

3) Barbara can walk 3,200 meters in 24 minutes. How far can she walk in 3

Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer:

400 meters

Step-by-step explanation:

We know that Barbara can walk 3,200 meters in 24 minutes . And are being asked to see how far she can walk in 3 minutes.

Create the unit rate. Since Barbara can walk 3,200 in 24 minutes and we're trying to figure out how many meters she walks in 3 mintues, make the meters "M"

\frac{3200}{24} = \frac{M}{3}

Let's do something that can make 24 mintues go to 3 minutes, this would be dividing 24 by 8, do the same with the numerator :

\frac{3200/8}{24/8}

\frac{400}{3}

Therefore Barbara can walk 400 meters in 3 minutes,

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adjacent angles

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3 years ago
A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol
iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let x_1 be the number of widgets sold and x_2 be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

x_1+x_2=350...(1)

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

35x_1+22x_2=9,000...(2)

From equation (1), we will get:

x_2=350-x_1

Substitute this value in equation (2):

35x_1+22(350-x_1)=9,000

35x_1+7,700-22x_1=9,000

13x_1+7,700=9,000

13x_1+7,700-7,700=9,000-7,700

13x_1=1,300

\frac{13x_1}{13}=\frac{1,300}{13}

x_1=100

Therefore, the company sold 100 widgets.

Substitute x_1=100 in equation (1):

100+x_2=350

100-100+x_2=350-100

x_2=250

Therefore, the company sold 250 gizmos.

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3 years ago
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