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3 years ago

Solve the system of equations by using substitution . y=2x+13 ,x-y=4

Mathematics

1 answer:

tatyana61 [14]3 years ago

7 0

Step: Solvey=2x+13for y:

y=2x+13

Step: Substitute2x+13foryinx−y=4:

x−y=4

x−(2x+13)=4

−x−13=4(Simplify both sides of the equation)

−x−13+13=4+13(Add 13 to both sides)

−x=17

−x−1=17−1(Divide both sides by -1)

x=−17

Step: Substitute−17forxiny=2x+13:

y=2x+13

y=(2)(−17)+13

y=−21(Simplify both sides of the equation)

D (Bottom Circle)
(-17,-21)

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If u can help with this question, the options for both x' s are -8,-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8

Simora [160]

1x + 1y = 100....multiply by -3/8
3/8x + 7/8y = 2000

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3 years ago

A boat uses two pontoons to float. Each pontoon consists of a cylinder with a hemisphere at each end, as shown. Find the total v

zubka84 [21]

Answer:

$Total \approx 20ft^3$

Step-by-step explanation:

Given

$h = 12ft$ --- height of the cylinder

$d =1ft$ --- the diameter of the hemispheres at both end and the cylinder

See attachment for pontoon

Required

Determine the volume

First, calculate the radius (r)

$r = \frac{1}{2} * d$

$r = \frac{1}{2} * 1ft$

$r = 0.5ft$

Next, the volume of the cylinder

$V_1 = \pi r^2h$

$V_1 = 3.14 * 0.5^2 * 12$

$V_1 = 9.42ft^3$

Two hemispheres make up a sphere. So, we simply calculate the volume of a sphere.

$V_2 = \frac{4}{3}\pi r^3$

$V_2 = \frac{4}{3} * 3.14* 0.5^3$

$V_2 = 0.52ft^3$

So, the volume of 1 pontoon is:

$V_3 = V_1 + V_2$

$V_3 = 9.42ft^3 + 0.52ft^3$

$V_3 = 9.94ft^3$

The volume of both is:

$Total = 2 * V_3$

$Total = 2 * 9.94ft^3$

$Total = 19.88ft^3$

$Total \approx 20ft^3$

3 0

3 years ago

11 and 14<br>11 and 19<br>14 and 19<br>19 and 24<br>what one is the correct answer?

Bumek [7]

Answer: 19 & 24

Step-by-step explanation: square root of 19 is 4.3. square root of 24 is 4.8

4.8-4.3= 0.5

5 0

3 years ago

I'll mark the correct answer the Brainiest

Rufina [12.5K]

Answer:

Step-by-step explanation:

To find the sum, you most find the answers for both powers of tens. 10^2 is 100, so 4.9*100=490. 10^3 is 1000, so 6.8^1000= 6800. Add them together and you get 7290, which if divided by 1000, you get 7.29. Since 10^3 is 1000, the correct answer isE.

8 0

3 years ago

Emily brought $35 to the fair. At the fair, she spent $16 on ride tickets and she also bought lunch. She had $7 when she left th

MatroZZZ [7]

Answer:

Emily spend $12 on lunch.

The correct option is Option A i.e 23 plus x equals 35; x equals 12

Step-by-step explanation:

Let amount spent on Lunch = x

Total money Emily brought to the fair = $35

Money Spend on ride tickets and lunch = 16+x

Money Left with Emily = $ 7

We need to find how much Emily spend on lunch

SO,

We can write the equation $16+x+7=35\\$

As, total money is 35 and $7 are still with emily

Solving to find value of x

$16+x+7=35\\x+23=35\\x=35-23\\x=12$

So, Emily spend $12 on lunch.

The correct option is Option A i.e 23 plus x equals 35; x equals 12

6 0

3 years ago