The perimeter of a rectangle is 35cm. The length is 5cm. Write and
solve an equation to find the width of the rectangle.

Answer:

x = -⁷/9

Step-by-step explanation:

[tex] \frac{9x - 8}{3} = \frac{9x - 3}{2} [/tex]

Multiply both sides by 3

[tex] \frac{9x - 8}{3}*3 = \frac{9x - 3}{2}*3 [/tex]

[tex] 9x - 8 = \frac{3(9x - 3)}{2} [/tex]

Multiply both sides by 2

[tex] 2(9x - 8) = \frac{3(9x - 3)}{2}*2 [/tex]

[tex] 2(9x - 8) = 3(9x - 3) [/tex]

[tex] 18x - 16 = 27x - 9 [/tex]

Subtract 27 from each side

18x - 16 - 27x = 27x - 9 - 27x

-9x - 16 = -9

Add 16 to both sides

-9x - 16 + 16 = -9 + 16

-9x = 7

Divide both sides by -9

-9x/-9 = 7/-9

x = -⁷/9

Answer:

sorry but don't know this answer

Answer:

7000

Step-by-step explanation:

divide 600 and 30 then multiply that answer by 350

Answer:

Correct answer is 70 trust me

Step-by-step explanation:

Answer:

C ) x < 1

Step-by-step explanation:

The open circle on a number line means: less than or greater than. The arrow is pointing to the left, towards the negatives, so x would be less than 1.

Answer:

m=5

Step-by-step explanation:

Answer:

14 cm²

Step-by-step explanation:

1/2 (7•4)

1/2 (28)

14

Answer:14

Step-by-step explanation:

I believe it is asking you to multiply 4 and 7 getting 28, then divide that by 2 so 14

Answer:

She left 3 slices

Step-by-step explanation:

to find the number of slides that I have concluded, we will do the following

[tex] \frac{75}{100} \times 12 = 9[/tex]

Then She left

[tex]12 - 9 = 3[/tex]

Answer:

20 ft

A=wl

l=A/W=240/12=20ft

30% of 42 is 12.6.

sorry if wrong.

hope it helps.

have a great day.

Answer:

30% of 42 is 12.6.

Step-by-step explanation:

Ok, so first you need to find the value of 1%. To do that, you divide 42 by 100. That gives you 0.42. So, 0.42 = 1%. TO find 30%, multiply the value of 1% by 30. That's 0.42 * 30, which gives you 12.6. Therefore, 30% of 42 is 12.6!

Answer:

7

Step-by-step explanation:

9*9=81

81+7=88

Answer:

7

Step-by-step explanation:

88 / 9 = ?

9 x 9 = 81

88 - 81 = 7

7/9

88 / 9 = 9 7/9

9 is in the large box

7 in the small box

Answer:

The angle measure would be 40°

Step-by-step explanation:

Right angles have a measure of 90. Since DC is 50, 90-50 is 40.

The angle measure of  ∠EBC would be 40°.

The arc is a portion of the circumference of a circle

Right angles have a measure of 90°.

∵∠BOD=90°

Since ∠DC is 50°,

∠EBC = ∠BOD-∠DC

∠EBC = 90°-50° is 40°.

The angle measure of  ∠EBC would be 40°.

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Answer:

answer is 6.

Step-by-step explanation:

the base as 4 in. times the height as 3in. divided by 2= 6in.

Answer: Michael's paycheque = $ 1704

Donald's paycheque =  $ 568

Jacob's paycheque = $ 648

Step-by-step explanation:

Let x = Michael's paycheque

Donald's paycheque = [tex]\dfrac13x[/tex]

Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]

Together, the three friends earned $2920 in one week.

[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]

Michael's paycheque = $ 1704

Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]

Jacob's paycheque = $ 568+80 = $ 648

Answer:

The total comission on the sale was $375.

Step-by-step explanation:

Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:

Total comission=(10,000*5%)+(12,500-10000)*(3%)

Total comission=500+(2,500*3%)

Total comission=300+75

Total comission=375

According to this, the answer is that the total comission on the sale was $375.

Answer:

vienna can purchase 6 more yards

Answer:

He must work 34 hours

Step-by-step explanation:

187×20= 3740

3740÷110= 34

If a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, A workman received $110 for working 20 hours.

We will apply the unitary method in order to solve the given problem.

For $110 he has to work 20 hours.

$110 = 20 hours

For 1 dollar he has to work,

$1 = 20 / 110

$1 =0.1818 hours

The number of hours must he work to earn $187 will be,

$187 = 187 × 0.1818 hours

$187 = 33.99 hours

Thus, if a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.

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Answer:

10/x represents how far he walks in one hour

Step-by-step explanation:

Answer:

3 19/35

Step-by-step explanation:

Find the least common denominator of the two.

The LCD is 35.

Now convert the fractions to a denominator of 35.

This will be it>>>

2 5/35 + 1 14/35.

Now the answer to that will be: 3 19/35

Answer:

7.11111111112

Step-by-step explanation:

there should be 10 1's

Answer: look at the picture

Step-by-step explanation: hope this help :)

Answer:

10 square2

36 + 64 = 100. In other words, 6² + 8² = 10²

Answer:

C. 10^2

Step-by-step explanation:

When you have an exponent and the base is 10, the exponent is how many zeros there are total that come after the 1. There are 2 zeros after the 1 in 100, so 10^2 is the answer.

Answer:

C. Plant A and Plant E will die.

Step-by-step explanation:

A0 mL

B 10 mL

C 100 mL

D 1,000 mL

E 10,000 mL

Plant A will get no water so it will Die

Plant E will be overwatered so it will rot and die

Answer:

[tex]y=\frac{3}{2}x + 13[/tex]

Step-by-step explanation:

Given that [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = 7 (from the point given) and m = [tex]\frac{3}{2}[/tex], we will use the equation [tex]y - y_{1} =m(x-x_{1})[/tex]. Therefore, when we substitute the given values to the equation:

y - y1 = m(x - x1)

y - 7 = 3/2(x - (-4))

y - 7 = 3/2(x + 4)

y - 7 = 3/2x + 6

y = 3/2x + 6 + 7

y = 3/2x + 13

y=3/2x+13 is the equation of line in slope-intercept form

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that a line passes through the point (-4,7)

The slope of the line is 3/2.

We need to find the  equation in slope-intercept form for this line

Let us find the y intercept of line

7=3/2(-4)+b

7=-6+b

13=b

So slope intercept form is y=3/2x+13

Hence, y=3/2x+13 is the equation of line in slope-intercept form

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Answer:

you are correct with -0.0081

Step-by-step explanation:

but if you are multiplying a negative times a positive it is a negative always. So you do a negative times a negative you get a positive. Then you multiply the positive with a negative to get a negative then you do the negative times a negative to get a negative.

Answer:

this is my other account

Step-by-step explanation:

Given:

Consider the value of [tex]a+b\sqrt{5}[/tex] is [tex](\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex].

To find:

The values of a and b.

Solution:

According to the given information,

[tex]a+b\sqrt{5}=(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})[/tex]

[tex]a+b\sqrt{5}=(\sqrt{5})^2-(\sqrt{3})^2[/tex]            [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]a+b\sqrt{5}=5-3[/tex]

[tex]a+b\sqrt{5}=2[/tex]

It can be written as

[tex]a+b\sqrt{5}=2+0\sqrt{5}[/tex]

On comparing both sides, we get

[tex]a=2,b=0[/tex]

Therefore, the value of a is 2 and the value of b is equal to 0.

Answer:

750 J

Step-by-step explanation:

Answer:

x = 51 degrees

Step-by-step explanation:

Keep in mind, the angles of a triangle add up to 180 degrees.

A flat line also equals 180 degrees.

First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.

180 - 117 = 63

Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)

63 + 66 + x = 180

Then, you solve for x:

(63+66) + x = 180

129       + x = 180

-129             -129

               x = 51

Hope this helps :)

Answer:

17 - 6j / 5

Step-by-step explanation: