All categories

3 years ago

Solve the following system y=-2 -2x-7y=24

Mathematics

1 answer:

Dafna1 [17]3 years ago

6 0

Answer:

x = -5

y = -2

Step-by-step explanation:

Since you have y, plug that into the equation:

-2x - 7y = 24

-2x - 7(-2) = 24

-2x + 14 = 24

Then, subtract 14 from both sides:

-2x + 14 = 24

- 14 - 14

__________

-2x = 10

Finally, divide both sides by -2:

-2x = 10

x = -5

So now you have, x = -5 and y = -2.

You might be interested in

Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He

Pani-rosa [81]

Answer:

C. Tasha's balloon was farther from the town at the beginning but, Henry's balloon traveled more quickly.

Step-by-step explanation:

Brainliest please I really want to rank up

3 0

3 years ago

Read 2 more answers

Please help confused with half life /compound interest problems

jekas [21]

Half life means only half of matter is left, which means half is decayed/radiated.
Formula for half life is
t/2 = [(elapsed time)*(log2)]/[log(beginning amount/ending amount)]
1. t/2 = [(10)*(log2)]/[log(100/76.1)] = 25.378 minutes.
t/2 = [10 * 0.301]/[log 1.314] = [3.01]/[0.1186] = 25.378
2. 53.12 = [(T)*(log2)]/[log(15/4)], on solving we get, T = 101.29 days
53.12 = [T * 0.301]/[log 3.75] = [0.301 * T]/[0.574],
T = [53.12 * 0.574]/[0.301] = [30.49]/[0.301] = 101.29

6 0

3 years ago

Suppose that prices of a certain model of a new home are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule t

levacccp [35]

Answer:

68% of buyers paid between $147,700 and $152,300.

Step-by-step explanation:

We are given that prices of a certain model of a new home are normally distributed with a mean of $150,000.

Use the 68-95-99.7 rule to find the percentage of buyers who paid between $147,700 and $152,300 if the standard deviation is $2300.

Let X = prices of a certain model of a new home

SO, X ~ Normal( $\mu=150,000 ,\sigma=2,300$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean price = $150,000

$\sigma$ = standard deviation = $2,300

Now, according to 68-95-99.7 rule;

Around 68% of the values in a normal distribution lies between $\mu-\sigma$ and $\mu-\sigma$ .

Around 95% of the values occur between $\mu-2\sigma$ and $\mu+2\sigma$ .

Around 99.7% of the values occur between $\mu-3\sigma$ and $\mu+3\sigma$ .

So, firstly we will find the z scores for both the values given;

Z = $\frac{X-\mu}{\sigma}$ = $\frac{147,700-150,000}{2,300}$ = -1

Z = $\frac{X-\mu}{\sigma}$ = $\frac{152,300-150,000}{2,300}$ = 1

This indicates that we are in the category of between $\mu-\sigma$ and $\mu-\sigma$ .

SO, this represents that percentage of buyers who paid between $147,700 and $152,300 is 68%.

7 0

3 years ago

36a^2+24b^2=12( +2b^2)

vlabodo [156]

The blank space is found by dividing 36a^2 by 12, which is equal to 3a^2
To get to this answer you need to
1. divide the both sides of the equation by 12.
2. subtract 2b^2 from both sides.
You will see that the blank space equals 3a^2 then

7 0

3 years ago

Allan bought a rug shaped as a semicircle that has a radius of 4 yards. What is the circumference of the rug? Plz answer

pentagon [3]

Circumference = 2 x pi x radius

2 x pi x 4 = 25.13 yards
(correct to 2 decimal places)

Hope this helps!!

3 0

3 years ago