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madam [21]
3 years ago
8

KL = 4x +3. JK = 4x + 2, and JL = 45 Find KL.

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

KL=23

Step-by-step explanation:

We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.

(4x+3)+(4x+2) = 45

8x+5=45

8x=40

x=5

Now we can plug the value of x back into the expression we were given for the line KL.

4(5)+3

23

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Eight times a number increased by 4 times the number is less than 36.What is the number?​
strojnjashka [21]

Answer:

1 or 2

Step-by-step explanation:

8x + 4x < 36

the number x could either be 1 or 2

3 0
3 years ago
The Central Limit Theorem tells us that for population distribution(s), if we repeatedly take new random samples from this distr
sertanlavr [38]

Answer:

d. If your sample size is very large, the distribution of the sample averages will look more like distribution.

Step-by-step explanation:

The central limit Theorem states that for population distribution if you repeatedly take samples from the distribution, then the normal thing for it to happen would be that the distribution means of the samples will be normally distributed, this is what it states, the option that comes closer to that statement would be  d. If your sample size is very large, the distribution of the sample averages will look more like distribution, because they large sample will create for a normally distributed means distribution.

7 0
4 years ago
Solve the system of equations by substitution.<br><br> y=5x-13<br> 5x+2y=19
Assoli18 [71]
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8 0
3 years ago
Consider a student loan of 25000 at a fixed APR of 6% for 15 years calculate the monthly payment
hram777 [196]

<u>Answer: </u>

Monthly payments of student loan 25000 at fixed APR of 6% for 15 years is 264 units of money approximately

<u>Solution: </u>

Given that  

Amount of student loan P = 25000

APR = R = 6%

Duration = T = 15 years  

First let’s calculate interest on loan.

Interest = \frac{P \times R \times T}{100} = \frac{25000 \times 6 \times 15}{100} = 22500

Total amount needs to pay back = Loan amount + interest = 25000 + 22500 = 47500

Duration in which amount needs to be pay back = 15 years = 15 \times 12 = 180 months

Monthly payment = Total amount needs to pay back / duration in months  

= \frac{47500}{180}

= 263.88.

Hence monthly payments of student loan 25000 at fixed APR of 6% for 15 years is 263.888 approx 264 units of money.

7 0
3 years ago
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each s
JulsSmile [24]

The required equations are use to solve this problem;

x + y =126

2.25x + 1.50y = 223.75

There are x = 49 hot dogs, and y = 77 sodas were sold.

Given that,

Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

You sold a total of 126 hot dogs and sodas combined.

We have to determine,

What equations did you use to solve this.

And How many hot dogs were sold and how many sodas were sold.

According to the question,

Let, The x represent the number of hot dogs,

And y represent the number of sodas.

Then,

You sold a total of 126 hot dogs and sodas combined.

Number of sell hot dogs + number of sell sodas = Total of hot dogs and sodas combined.

x + y =126

And Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

Then,

Cost of each hot dogs + cost of each soda = total earning end of the night

2.25x + 1.50y = 223.75

On solving both the equation,

x + y = 126\\\\x = 126-y

Substitute the value of x in the equation 2,

=2.25(126-y) + 1.50y = 225.75\\\\= 283.5 -2.25y + 1.50y = 225.75\\\\= -  0.75 y = 225.75 - 283.5\\\\=   - 0.75y   = -57.75\\\\= y = \dfrac{-57.75}{-0.75}\\\\= y = 77

Then,

Substitute the value of y in the equation 1,

x + y = 126\\\\x + 77 = 126\\\\x = 126-77\\\\x = 49

Hence, There are x = 49 hot dogs, and y = 77 sodas were sold.

To know more about the Equation click the link given below.

brainly.com/question/24070713

5 0
3 years ago
Read 2 more answers
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