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AfilCa [17]
2 years ago
9

Mr. kasberg rides his bike at 6 mph to the bus station. he then rides the bus to work, averaging 30 mph. if he spends 20 minutes

less time on the bus than on the bike, and the distace from his house to work is 26 miles, what is the distance from his house to the bus station?
Mathematics
1 answer:
SIZIF [17.4K]2 years ago
4 0
Convert 20 min to hrs: 20/60 = 1/3 hr
Let t = time on the bikethent-(1/3) = time on the bus
Write a dist equation Dist = speed * time:Bike dist + bus dist = 26 mi6t + 30[t-(1/3)] = 26:6t + 30t - 10 = 2636t = 26 + 1036t = 36t = 1 hr on the bike
6 mph for 1 h = 6 mi from house to the bus station
Check solution by finding the distance6(1) + 30(2/3) =6 + 20 = 26 mi                       
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andriy [413]

Answer:

35

Step-by-step explanation:

Here we see 5 black keys for every 7 white keys.

So the ratio is 5:7

If we need 49 white keys, find the amount we scale the original ratio by:

    49/7 = 7

So we are scaling by a factor of 7.

The number of black keys would be 5 * the scale of 7. = 35

So there should be 35 black keys.

5 0
2 years ago
Read 2 more answers
the length of the highway is 1500 miles. If 1 inch represents 150 miles, what is the length of the highway on the map?
NeX [460]

Answer:

10 inches.

Step-by-step explanation:

If 1 inch represents 150 miles, and there are 1500 miles covered by the map, then the length of the highway on the map is 10 inches.

4 0
2 years ago
You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sand
Goryan [66]

Answer:

This question contains some errors; the correct question is:

You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.

The answer is:

(2n) slices of bread for n hikers

Step-by-step explanation:

According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.

Each hiker gets one sandwich

This, n hikers will get n× 1 sandwich

= (n) sandwiches.

If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:

(2 × n) slices of bread

That is, (2n) slices of bread.

The expression is (2n).

4 0
2 years ago
What triangle is 3,7,9
Marta_Voda [28]
9^ ? 3^2 + 7^2
81 ? 9 + 49
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5 0
2 years ago
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Ivenika [448]

Answer:

The quick ratio is 4.75:1.

Step-by-step explanation:

From the given information it is clear that:

Cash = $340,000

Inventory = $280,000

Accounts receivable =  $40,000

Accounts payable = $65000

Other current liabilities = $15000

Formula for quick ratio:

\text{Quick ratio}=\frac{\text{Cash + Current receivables + short-term investment}}{\text{Current Liabilities}}

Substitute Cash = 340000, Current receivables=40000, Current Liabilities= (65000+15000).

\text{Quick ratio}=\frac{340000+40000}{65000+15000}

\text{Quick ratio}=4.75

Therefore the quick ratio is 4.75:1.

8 0
2 years ago
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