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3 years ago

What is the solution to the system of linear equations graphed below?

Mathematics

2 answers:

Mashutka [201]3 years ago

4 0

The answer is in the photo below

olganol [36]3 years ago

3 0

Answer: $(3\frac{1}{2}, -4)$

Step-by-step explanation:

The solution to the graph of a system of equations is where they intercept. Here, it is at about $(3\frac{1}{2}, -4)$ .

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A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire

anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So, 16 inches = $\frac{1}{12}$ ×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × $\pi$ × radius

where $\pi$ = 3.14

or, circumference = 2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed = circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0

3 years ago

For the following right triangle, find the side length x. around your answer to the nearest hundredth

ella [17]

≈9.38

13² - 9² = x²
189 - 81 = 88
√88 = x

6 0

3 years ago

I purchase x pizzas, y 12-packs of soda, and z cupcakes for a party. If each pizza costs $7.50, each 12-packs of soda costs $3.2

svetlana [45]

Answer:

t=7.50x+0.75z+3.25y

8 0

3 years ago

Round 10,982 to the nearest hundred

zvonat [6]

Answer:

4568

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is

ivann1987 [24]

Answer: 5/14 which is choice B

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How I got this answer:

Define the following events

A = event of picking a red paper clip on the first selection

B = event of picking a red paper clip on the second drawing

Replacement is not made.

Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

P(B|A) = probability of selecting red on second selection, given first selection is red (no replacement)

P(B|A) = P(A and B)/P(A)

P(B|A) = (1/7) / (2/5)

P(B|A) = (1/7) * (5/2)

P(B|A) = (1*5)/(7*2)

P(B|A) = 5/14

So if event A happens, then the chances of event B happening is 5/14

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A more concrete example:

If we had 15 paperclips, and 6 of them were red, then

P(A) = (# of red)/(# total) = 6/15 = 2/5

P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

7 0

3 years ago

Read 2 more answers