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stiv31 [10]
3 years ago
11

Solve the system of linear equations by substitution 4x − 2y = 16, 2x + y = 5

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0

Answer: x = 3.25, y = -1.5

Step-by-step explanation:

y = -2x + 5

4x - 2(-2x + 5) = 16

4x + 4x - 10 = 16

8x = 26

x = 3.25

2(3.25) + y = 5

y = -1.5

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The model represents an equation. What value of x makes the equation true?
Slav-nsk [51]

Answer:

A) 29/8

Step-by-step explanation:

On the left side of the equals sign, we have five x's and nine -1's.

On the right side of the equals sign, we have three -x's and twenty 1's.

Both sides are equal, so:

5(x) + 9(-1) = 3(-x) + 20(1)

5x − 9 = -3x + 20

Add 3x to both sides.

8x − 9 = 20

Add 9 to both sides.

8x = 29

Divide both sides by 8.

x = 29/8

5 0
4 years ago
What is the common ratio for the geometric sequence 32,8,2,1/2?<br>​
abruzzese [7]

The answer you will be dividing by is 4. hope this helps

4 0
3 years ago
Find the equation of the line passing through the points (7, 16) and (2, −4). Then state the slope and coordinates of the x- and
Elanso [62]

Answer:

Equation point-slope model is: y-16 = 4 (x-7)

Slope =4

x-intercept=(7,2)

y-intercept=(16,-4)

Step-by-step explanation:

6 0
3 years ago
The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean o
prohojiy [21]

Answer:

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

Step-by-step explanation:

For a normal random variable with mean Mu = 3.2 and standard deviation sd = 0.8 there is a distribution of the sample mean (MX) for samples of size 4, given by:

Z = (MX - Mu) / sqrt (sd ^ 2 / n) = (MX - 3.2) / sqrt (0.64 / 4) = (MX - 3.2) / 0.4

For a sample mean of 3.0, Z = (3 - 3.2) / 0.4 = -0.5

For a sample mean of 3.0, Z = (4 - 3.2) / 0.4 = 2.0

P (3.2 <MX <4) = P (-0.5 < Z <2.0) = 0.6687.

The percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds is 66.87%

6 0
3 years ago
Is shipping box is a shape of a cube. Each side measures 3c^6d^2 inches. Express the volume of a cube has a monomial.
liubo4ka [24]
Length of each side of cube is = 3c^6d^2

SO the volume of cube = (Side)^3
                                      = (3c^6d^2)^3
                                      = 27 * (c^6)^3(d^2)^3
                                      = 27c^{18}d^6

SO the volume of cube is 27c^{18}d^6
9 0
3 years ago
Read 2 more answers
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