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3 years ago

Evaluate the expression 4(2x + 3) + 2(x + 1)-7

Mathematics

1 answer:

Svetlanka [38]3 years ago

4 0

4 (2x + 3) + 2 (x + 1) - 7

8x + 12 + 2x + 2 - 7

10x + 7

10x = -7
10x/10 = -7/10

x = -7/10

hope this helps

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How many solutions does the system have? \begin{cases} 3x+y=8 \\\\ 2x+2y=8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 3x+y=8 2x+2y=8 Choose 1

ELEN [110]

Answer:

This system has one solution (x=2 and y=2), then the answer is A.

Step-by-step explanation:

The system of equations is:

$3x+y=8$ (1)

$2x+2y=8$ (2)

Let's multiply the first equation by 2 and subtract it to the second equation

$6x-2x+2y-2y=16-8$

$4x=8$

$x=2$

Using this value in (1) we can find y.

$3(2)+y=8$

$6+y=8$

$y=2$

Therefore, this system has one solution (x=2 and y=2), the answer is A.

I hope it helps you!

3 0

3 years ago

Line A is represented by the following equation: X + y = 2

Verizon [17]

Answer:

x+y=3

Step-by-step explanation:

For an equation to have no solution, their slope needs to be same and y intercept needs to be different,

so in this case where x+y=2

doing simply, x+y=3 makes a set of equation which has no solution, you can take any real value which is not 2

4 0

2 years ago

–0.4(3x – 2) + StartFraction 2 x plus 4 Over 3 EndFraction for x = 4

Nadusha1986 [10]

Answer:

Step-by-step explanation:

Given

- 0.4(3x - 2) + $\frac{2x+4}{3}$ ← substitute x = 4 into the expression

= - 0.4(3(4) - 2) + $\frac{2(4)+4}{3}$

= - 0.4(12 - 2) + $\frac{8+4}{3}$

= - 0.4(10) + $\frac{12}{3}$

= - 4 + 4 = 0

4 0

3 years ago

Read 2 more answers

You are fundraising for the schools track team by selling clothing. The first day, you sell 13 t-shirts and 17 pairs of shorts f

Anastasy [175]

Answers:

one t-shirt costs $10

one pair of shorts costs $15

============================================================

Explanation:

x = cost of one t-shirt

y = cost of one pair of shorts

13x+17y = 385 is the first equation because 13x represents the money you get from selling 13 shirts, and the 17y represents the amount you get from selling 17 shorts. The total 13x+17y is given to be $385

The second equation is 13x+12y = 310 for similar reasoning, but this time you sell 12 shorts this time and you get $310 in revenue.

The system of equations we have is:

$\begin{cases}13x+17y = 385\\13x+12y=310\end{cases}$

There are a few ways to solve this system. Possibly the quickest method is to note that the 13x shows up twice, so we can subtract straight down to eliminate the x terms

So,

13x-13x becomes 0x or just 0, and the x terms go away.
17y-12y becomes 5y
385-310 becomes 75

After those three subtractions, we have the equation 5y = 75 which solves to y = 15 after dividing both sides by 5. This means the cost of one pair of shorts is $15

Plug this y value into any equation involving x and y, and solve for x

13x+17y = 385

13x+17(15) = 385

13x+255 = 385

13x = 385-255

13x = 130

x = 130/13

x = 10

Therefore, each t-shirt costs $10

-----------------

To help verify the answer, plug (x,y) = (10,15) into each equation. We should end up with a true result after simplifying both sides.

Start with the first equation

13x+17y = 385

13(10)+17(15) = 385

130+255 = 385

385 = 385

We get a true result which confirms the first equation.

Repeat for the second equation.

13x+12y = 310

13(10)+12(15) = 310

130+180 = 310

310 = 310

Both equations are true so (x,y) = (10, 15) has been fully confirmed.

6 0

3 years ago

QUESTION 17 The sum of two numbers is 53. The larger number is 1 less than 2 times the smaller. What are the two numbers?

Crazy boy [7]

I only know 17 which it should be D

7 0

3 years ago