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Answer:

The solution to the system of equations be:

(x, y) = (16, 2)

Step-by-step explanation:

Given the system of equations

2 + 2y = 6

2x - 3y = 26

Isolate y for 2+2y=6

2+2y=6

subtract 2 from both sides

2+2y-2 = 6-2

2y = 4

divide both sides by 2

2y/2 = 4/2

y = 2

now substitute y = 2 in 2x - 3y = 26

2x - 3y = 26

2x - 3(2) = 26

2x-6=26

add 6 to both sides

2x-6+6=26+6

2x = 32

divide both sides by 2

2x/2 = 32/2

x = 16

Therefore, the solution to the system of equations be:

(x, y) = (16, 2)

Note: It seems you may have missed adding the correct option in your answer choices.

Answer:

[tex]2x - P = 5 \\ x(2 - P) = 5 \\ \boxed{x = \frac{5}{(2 - P)} }[/tex]

Given:

Width of a garden = 10 feet

Length of the garden = 14 feet

Area of the garden and the walkway together = 396 square feet.

To find:

The width of the walkway.

Solution:

A cement walkway is added around the outside of the garden.

Let x be the width of the walkway.

The width of the garden with walkway = 10+2x

The length of the garden with walkway = 14+2x

Area of a rectangle is

[tex]Area=length\times width[/tex]

Area of garden and the walkway together is

[tex]Area=(14+2x)\times (10+2x)[/tex]

[tex]396=140+28x+20x+4x^2[/tex]

[tex]396=140+48x+4x^2[/tex]

[tex]396=4(35+12x+x^2)[/tex]

Divide both sides by 4.

[tex]99=35+12x+x^2[/tex]

[tex]0=35-99+12x+x^2[/tex]

[tex]0=-64+12x+x^2[/tex]

Splitting the middle term, we get

[tex]x^2+16x-4x-64=0[/tex]

[tex]x(x+16)-4(x+16)=0[/tex]

[tex](x+16)(x-4)=0[/tex]

Using zero product property, we get

[tex](x+16)=0\text{ and }(x-4)=0[/tex]

[tex]x=-16\text{ and }x=4[/tex]

Width of walkway cannot be negative. So, x=4.

Therefore, the width of the walkways is 4 feet.

Answer:

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Hope it helps

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Answer:

D= {-4,0,6} R={-3,2,7,9}

Step-by-step explanation:

Answer:

a certain number that i do not know

Step-by-step explanation:

        a). It will take 16 hours to earn $144.

        b). It will take 24.67 hours to earn $222

        c). In a 40 hours week he will earn $360.

             In a 7 hours day he will earn $63.

          Proportionality law states,

          y ∝ x

          y = kx  [here, k = proportionality constant]

If Adam earns $36 in 4 hours,

36 = 4k

k = 9

Therefore, expression for total earnings will be,

y = 9x

a). For y = $144,

    144 = 9x

     x = 16 hours

b). For y = $222,

    222 = 9x

     x = 24.67 hours

c). For 40 hour week,

    y = 9(40) = $360

    Adam will earn $360 in a week by the rate $9 per hour.

    For 7 hour day,

    y = 9(7) = $63

    Adam will earn $63 in a day by the rate of $9 per hour.

            Therefore, a). It will take 16 hours to earn $144.

                               b). It will take 24.67 hours to earn $222.

                               c). In a 40 hours week he will earn $360.

                                    In a 7 hours day he will earn $63.

Learn more about the proportionality relation here,

https://brainly.com/question/5837592?referrer=searchResults

Answer:

I think it's d, but it could also be b. I'm sorry if I'm wrong!

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

product is another word for +

decreased is another word for -

____________________________

(7 + 8) - x

so

(7+8) - 15

15 - 15

= 0

Answer:

41

Step-by-step explanation:

Vocab:

Product: Multiplication

Decrease: Subtraction

(7*8)-x

Substitute:

(7*8)-15

Multiply:

(56)-15

41

Answer: x = −1

ask if you need explanation

Answer: $60  

Step-by-step explanation:beauce $50 of a 20% of a tip is $10. 20% tip equals $10.

Answer:

0.16

Step-by-step explanation:

Answer:

i think its 30.

Step-by-step explanation:

Brainliest?

Answer:

eiuofj9ersiopg8ju9iorsudfheutwisrhdfgtu8isrehdtjgf8u9ihserjdfc

Step-by-step explanation:

Answer:

4 gal 3qt

Step-by-step explanation:

Answer:

The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 36 - 1 = 15

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.947

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.947\frac{7}{\sqrt{16}} = 5.16[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 18 - 5.16 = 12.84 minutes

The upper end of the interval is the sample mean added to M. So it is 18 + 5.16 = 23.16 minutes

The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.

Answer:

Original price was $2163

Step-by-step explanation:

Let original price be x

23% of x = 497.42

23/100 × x = 497.42

23x/100=497.42/1

Cross multipy,

23x × 1 = 497.42 × 100

23x=49742

x=49742/23

x=2,163 approximately

Answer: B

Step-by-step explanation: 7/4 time 8/1 is 56/4 which simplifies to 14. B is the only statement that satisfies this

Answer:

D is answer

Step-by-step explanation:

you will subtract like terms

Answer:

It is D

Step-by-step explanation:

Answer:

5, -5

Step-by-step explanation:

;)

Answer: 5, -5

Step-by-step explanation:

Since H is reflecting over the x-axis, the new point will be under the existing H. The x coordinate will be staying the same because the point will still be 5 spaces to the left. The y coordinate will be negative, in quadrant four.

Answer:

6 apples per pie

Step-by-step explanation:

2x+7=19

x=# of apples per pie

Subtract 7 from both sides:

2x=12

Divide both sides by 2:

x=6

Answer:

There are 5 black counters in the bag.

Step-by-step explanation:

15 green counters in the bag

The proportion of green counters is given by:

[tex]p = 1 - (\frac{1}{3} + \frac{1}{6}) = 1 - (\frac{2}{6}+\frac{1}{6}) = 1 - \frac{3}{6} = 1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}[/tex]

So, we have that, the total is x. So

[tex]\frac{x}{2} = 15[/tex]

[tex]x = 30[/tex]

There are 30 total counters.

How many black counters are in the bag ?

A sixth of the counters are black. So

[tex]\frac{1}{6} \times 30 = \frac{30}{6} = 5[/tex]

There are 5 black counters in the bag.

Answer:

2.) yes

3.) x=3

Step-by-step explanation:

2.) if u plug in 2 into the x-value,  then the y-value equals to 5 (so it's correct)

3.)

y = 6

2x + 6 = 12

x = 3

Answer:18×6=108

D SHOULD BE RIGHT

d is = to 108.

tell me if right

Answer:

4.5

Step-by-step explanation:

Well, she runs  3 miles in  28  minutes.  

42 = 28 ⋅ 1.5  

So, her journey would just be running  

1.5

times, with each time running  

28

minutes.

So, she runs a total of  

1.5 ⋅ 3 = 4.5 miles

Answer:

6        12     18    24   30

20%  40% 60% 80% 100%

Step-by-step explanation:

smarts