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Studentka2010 [4]
3 years ago
15

Which value of y below is the solution to the system shown below. A) y=6 B) y=-1 C) y=-4 D) y=8

Mathematics
1 answer:
Grace [21]3 years ago
4 0

Answer:

D

Step-by-step explanation:

given the 2 equations

x + 2y = 27 → (1)

2x + 3y = 46 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 27 - 2y ← substitute into (2)

2(27 - 2y) + 3y = 46

54 - 4y + 3y = 46

54 - y = 46 ( subtract 54 from both sides )

- y = - 8 ( multiply both sides by - 1 )

y = 8 → D

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If | 8x -2 | < 4, Which of the following is true of x? Explain as well.
wariber [46]

The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75

<h3>What are inequality expressions?</h3>

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

<h3>How to determine the true expression of the variable x?</h3>

The inequality expression is given as

|8x - 2| < 4

Divide through the above equations by 2

So, we have the following inequality expression

|4x - 1| < 2

Remove the absolute value sign from the inequality expression

So, we have

-2 < 4x - 1 < 2

Add 1 to all sides of the above inequality expression

So, we have

-1 < 4x < 3

Divide through the above inequality expression by 4

So, we have

-0.25 < x < 0.75

Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75

Read more about inequality at

brainly.com/question/25275758

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3 0
1 year ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is
BARSIC [14]
Large boxes are 40 pounds.
Small boxes are 30 pounds.
Let me know if you need the work!
6 0
3 years ago
Find an input that yields an output of 214. rule: y= -15x+79
Dafna1 [17]

Answer:

          The input  have to be -9 to get output 214 with the rule y=-15x+79

Step-by-step explanation:

x is the input, y is the output so:

214 = -15x + 79

214 - 79 = -15x

15x = -135

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6 0
3 years ago
Read 2 more answers
. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use x to
DanielleElmas [232]

Answer:

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Step-by-step explanation:

id k how to explain but since he saves 5 dollars he basically has 15 dollars in his bank account u just need to multiply 15 with however many weeks he saves up for

5 0
3 years ago
Find the volume of the cone.
8_murik_8 [283]

Answer:

V=471\ \text{units}^3

Step-by-step explanation:

Given that,

Radius of the cone, r = 5 units

Height of the cone, h = 6 units

We need to find the volume of the cone. The formula for the volume of the cone is given by :

V=\pi r^2 h

Substitute all the values,

V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3

So, the volume of the cone is 471\ \text{units}^3.

4 0
3 years ago
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