All categories

1 year ago

What is the solution to the system of equations? "-6x2/5y=8" 1/2x+3y=29

Mathematics

1 answer:

prohojiy [21]1 year ago

8 0

The answer choice which represents a solution to the system of equations is; (–2, 10).

<h3>Which answer choice is a solution to the systems of equations?</h3>

The system of equations as given in the task content is;

-6x - (2/5)y = 8

(1/2)x +3y = 29

Hence, by making x subject in equation 1 and substitution; we have;

x = (-0.4y -8)/6

Hence; (0.4y -8)/12 + 3y = 29.

(0.4y -8) + 36y = 348

35.6y = 356

y = 10

and x = (-0.4(10) -8)/6 = -2.

Read more on solution to the system of equations;

brainly.com/question/13729904

#SPJ1

You might be interested in

State the range of possible values for x if (3x+5)(x-1) < 2x+7

lara31 [8.8K]

we are given with the inequality

$(3x+5)(x-1) < 2x+7\\ \\$

Open the parenthesis we get on left side we get

$(3x+5)(x-1) < 2x+7 =3x^2-3x+5x-5$

8 0

3 years ago

Part B: Determine the volume of the sphere.

Vinil7 [7]

Answer:

V=4/3 π r ^3 is the answer

3 0

3 years ago

What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and a

LenaWriter [7]

Answer:

378

Step-by-step explanation:

9*6=54 then 54/2=27. fnally 27*14=378

6 0

3 years ago

Read 2 more answers

A volunteer has 12 pounds of birdseed to put in the bird feeders in all of the city parks. There are 13/4 cups of birdseed in a

kozerog [31]

Answer:

$\large \boxed{28}$

Step-by-step explanation:

1. Calculate the number of cups

$\text{Cups} = \text{12 lb}\times\dfrac{1\frac{3}{4} \text{ cups}}{\text{1 lb}} =12\times\dfrac{\text{7 cups}}{4} = 3\times7\text{ cups}= \text{21 cups}$

2. Calculate the number of bird feeders

$\text{ Feeders}= \text{21 cups} \times \dfrac{\text{1 feeder}}{\frac{3}{4}\text{ cup}}=\text{21 cups} \times \dfrac{\text{4 feeders}}{\text{3 cups}} = 7 \times \text{ 4 feeders}\\\\= \textbf{28 feeders}\\\text{The volunteer can fill $\large \boxed{\textbf{28 feeders}}$}$

5 0

3 years ago

Which of the following companies offers the greatest total employment compensation? Company A Company B Company C Company D Gros

san4es73 [151]

we know that

To find the company with the greatest total employee compensation package, adds each company's gross pay, paid insurance, and paid time off, then subtract the job expenses on the sum

Find the total employee compensation package for each company

Step $1$

Find the total employee compensation package for company A

$total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses$

$total\ employee\ compensation=37,600+2,800+3,100-1,200\\ total\ employee\ compensation=42,300\ dollars$

Step $2$

Find the total employee compensation package for company B

$total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses$

$total\ employee\ compensation=36,800+2,400+3,600-600\\ total\ employee\ compensation=42,200\ dollars$

Step $3$

Find the total employee compensation package for company C

$total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses$

$total\ employee\ compensation=38,100+2,100+2,900-300\\ total\ employee\ compensation=42,800\ dollars$

Step $4$

Find the total employee compensation package for company D

$total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses$

$total\ employee\ compensation=39,000+1,800+2,500-800\\ total\ employee\ compensation=42,500\ dollars$

therefore

the answer is

the company with the greatest total employee compensation package is the company C

8 0

2 years ago

Read 2 more answers