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2 years ago

Choose the replacement for x and y that makes this equation a true statement: 4x − 5y = −69

Mathematics

1 answer:

lesya [120]2 years ago

8 0

there are various possible answers ( up till infinity)

i'll give you five possible ones:

1) x = -16 and y = 1

2) x = -11 and y = 5

3) x = -1 and y = 13

4) x = 4 and y = 17

5) x = 104 and y = 97....

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In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an

denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

$Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455$

$Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4$

Total number of possible results:

$results = 4*455\\results = 1820$

3 0

3 years ago

Someone help me I don’t understand the circumference C=2TTr

Irina-Kira [14]

You are being asked to make π the subject in

$C=2πr \:$

So divide both sides of the equation by
$2r$

That is

$\frac{ C}{2r} = \frac{2πr}{2r}$
The you have
$\frac{ C}{2r} = \pi$

or

$\pi = \frac{ C}{2r}$

I hope this is helpful?

4 0

2 years ago

Suppose the population of a town is 567 in 2001. The population decreases at a rate of 1.5% every year. What will be the populat

igomit [66]

for the formula is

Y = starting population x (1-rate of change)^number of years

2010-2001 = 9

Y= 567 x (1-0.015)^9 = 494.89, round up to 495 people

7 0

2 years ago

Read 2 more answers

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predic

AleksandrR [38]

Answer:a number cube

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A water tank has 80 gallons of water. But the tank has a leak from which water flows at a rate of 1 gallon every 2 minutes. If y

MatroZZZ [7]

Answer:

slope = -1/2 and y-intercept = 80

Step-by-step explanation:

A water tank has 80 gallons of water. But the tank has a leak from which water flows at a rate of 1 gallon every 2 minutes

Rate of change is the slope

Given that rate of change is 1 gallon every 2 minutes that is 1/2. The water flows out at the rate of 1/2. since it flows out the slope is negative.

So slope = -1/2

y intercept is the initial amount of water in the tank

A water tank has 80 gallons of water. so y intercept is 80 gallons of water

y intercept = 80

3 0

2 years ago