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Paraphin [41]
1 year ago
6

A store is selling five cans of tomato sauce for $5.25. What is the unit price? unit price = total price ÷ number of units per p

ackage A. $1.05 B. $10.25 C. $26.25
Mathematics
1 answer:
aleksklad [387]1 year ago
8 0

Answer: Option A

P = \$\ 1.05

Step-by-step explanation:

If we have 5 cans of ketchup they cost $ 5.25. Then the unit price of cans is what each can costs individually.

The unit price should then be less than $ 5.25, and that is the price for 5 cans and we want to know the price for just one can of ketchup.

Then to calculate the price of each can divide the price of the 5 cans by 5.

P = \frac{5.25}{5}

P = \$\ 1.05

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Let x represent number of redwood trees and y represent number of spruce trees.

We have been given that a park ranger bought 12 trees. We can represent this information in an equation as:

x+y=12...(1)

y=12-x...(1)

We are also told that redwood trees cost $24 each, so cost of x redwood trees would be 24x.

Each spruce tree costs $16, so cost of y spruce trees would be 16y.

Since the park ranger spent $208 on trees, so we can represent this information in an equation as:

24x+16y=208...(2)

Upon substituting equation (1) in equation (2), we will get:

24x+16(12-x)=208

24x+192-16x=208

8x+192=208

8x+192-192=208-192

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Therefore, the park ranger bought 2 redwood trees.

Upon substituting x=2 in equation (1), we will get:

y=12-x\Rightarrow 12-2=10

Therefore, the park ranger bought 10 spruce trees.

3 0
1 year ago
A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC
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Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

A=\frac{1}{2}a\cdot c\cdot\text{sin}(b), where angle b is angle between sides a and c.

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A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})

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Answer:

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Recall that distance = speed times time. Thus, time = distance / speed.

Here:

time = distance / speed = 0.8 km / 12 km/hr = 1/15 hr.

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