Algebraic Method #2: Solving by substitution 2x + 8y = 20 y = 2​

Answers

Answer 1
2x+8y=20
2x+8•2=20
2x=20-16
2x=4
x=2
Check:
2•2+8•2=20
4+16=20
20=20
x=2 and y=2
Good luck.

Related Questions

Solve for B
a^2+b^2=c^2

Answers

idek i just need to answer so i can ask

What is equivalent to 5(3t+9v)

Answers

Answer:

15t+45v

Step-by-step explanation:

Find the ratio of the volume of the triangular prism
to the volume of the cuboid,
Give your answer in its simplest form



Answers

Answer:

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:

Triangular prism

[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]

[tex]V_{tp} = 90\,cm^{3}[/tex]

Cuboid

[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]

[tex]V_{c} = 600\,cm^{3}[/tex]

Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:

[tex]r = \frac{V_{tp}}{V_{c}}[/tex]

[tex]r = \frac{3}{20}[/tex]

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

11. What is the value of x?

A 48
B 30
C 60
D 36

Answers

Answer:

I think it is B

hope this helps

need help just need the answer need asap

Answers

Answer:

about 236.715 ft²

Step-by-step explanation:

area of a circle = πr²

so π7.5² = 176.7145868

area of a rectangle is b × h

so 15 × 4 = 60

60 +  176.7145868 = 236.7145868 ft² ≈ 236.715 ft² (for the nearest thousandths)

Barry and Bernice have obtained a 30-year, fixed rate mortgage for $635,250 with a 7.35% interest rate. They purchased 2 points and their rate is now 6.925%. Factoring in the cost of points, when is the break-even point on their mortgage?

2 years, 11 months

3 years, 11 months

5 years, 10 months

2 years, 4 months

Answers

Answer: C

Explanation

Can someone help me with this?

Answers

Increasing at a decreasing rate.

Graph the equation in a online graph and see how the line looks and compare with the picture attached.

Please help!!
I don’t know what to do

Answers

Answer:

x = 14.4

Step-by-step explanation:

Similar means that the figures are proportional to each other. Because of this, we can form a problem. [tex]\frac{9}{5}[/tex] (the short side lengths) = [tex]\frac{x}{8}[/tex] (the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?

Otis has saved $18,500 so far to buy a
house. He can put this amount into an
account that earns 5.1% simple interest,
or another with 5.1% compounded
annually. Which method of earning
interest should he choose, simple or
compound, and how much more interest
will the account earn using that method
after 4 years?
F Compound interest; $15,106.30
G Simple interest; $15,106.30
H Simple interest; $298.65
J Compound interest; $298.65
no

Answers

9514 1404 393

Answer:

  J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Help me with the correct answer please

Answers

Step-by-step explanation:

Since, The formula of Pythagoras is A² + B² + C²

(therefore)* let A be 8 mm

B be 6 mm

Therefore, 8² + 6² = 64 + 36

= 100

= 10( after squaring it )

Hope it helps,if it is correct like and mark me.

more slopeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

Which of the following best describes the equation below?

y = 8x + 7
A.
neither linear nor nonlinear
B.
linear
C.
both linear and nonlinear
D.
nonlinear

Answers

Answer:

B

Step-by-step explanation:

4, Give a pair of inequalities that describes
the set of all points in the first quadrant​

Answers

Answer:

x > 0

y > 0

Step-by-step explanation:

The first quadrant is the quadrant formed by the positive x-axis and the positive y-axis.

And we know that all the elements in this quadrant are larger than zero.

Then, a point (x, y) is on the first quadrant only if:

x > 0

y > 0

Note that we ignore the points with x = 0 or y = 0, this is because these points are shared between quadrants, and these points are not defined as belonging to any quadrant.


A line passes through the point (8, -7) and has a slope of
3/4
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 3/4x - 13

Step-by-step explanation:

As we already know the slope, we just need to find the y-intercept.

y = 3/4x +b

-7 = 3/4(8) + b

-7 = 6 + b

-13 = b

y = 3/4x - 13

6th grade advanced / 7th grade khan acadamy​

Answers

The answer will be A

Answer:

Step-by-step explanation:

both  A and B are equivalent

Question 4 of 10
Suppose that many large samples are taken from a population, and the
sample proportions center around 0.58. Which of the following is most likely
to be the population parameter?
O A. 0.68
OB. 0.58
O C. 0.78
O D. 0.48

Answers

Answer:

A- 0.68

Step-by-step explanation:

0.58 is most likely to be the population parameter, since the sample proportions center around this value.

Option B is the correct answer.

We have,

When many large samples are taken from a population, the sample proportions should converge to the population proportion.

If the sample proportions center around a certain value, that value is likely to be a good estimate of the population proportion.

In this case,

Since the sample proportions center around 0.58, it is likely that the population proportion is also around 0.58.

Therefore,

0.58 is the most likely population parameter.

Learn more about population parameters here:

https://brainly.com/question/30689789

#SPJ7

How would I set this to 0?

Answers

Answer:

− 2 sin ( 0 ) ⋅ sin ( 0 ⋅ π /0 m ) + cos ( 0 ) ⋅ cos ( 0 ⋅ π /0 m ) = 0  is not an identity

Step-by-step explanation:

Do your thing genius's.

Answers

Answer:

1.  True.

2. True.

3. True.

4. False.

5. True.

Elsa received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.14 per pound. After buying the coffee, she had $31.16 left on her
card. How many pounds of coffee did she buy?
Il pounds

Answers

Answer:

Step-by-step explanation:

80-31.16=48.84 (the amount of the money that Elsa spent)

48.84:8.14=6 (the amount of coffee that she bought)

She can buy 6 pounds

if U=π (r+h),find the value of "r" when U=16 whole 1 upon 2 and h=2​

Answers

Answer:

r = 3 1/4

Step-by-step explanation:

Here, we want to find the value of r given the values

Firstly, we will write r as the subject of the formula

U = π ( r + h)

U/π = r + h

r = U/π - h

Now substitute;

U = 16 1/2 = 33/2

h = 2

π= 22/7

r = 33/2/22/7 - 2

r = (33/2 * 7/22) - 2

r = 21/4 - 2

r = (21-8)/4

r = 13/4 = 3 1/4

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Answers

Answer:

(3, [tex]\frac{1}{8}[/tex] )

Step-by-step explanation:

Hi there,

To find the answer to this question, you can simply use a graphing calculator to graph this function. When looking at the values of points along the function, we find that (3, [tex]\frac{1}{8}[/tex] ) is one of the answer choices.

Hope this answer helps.

Cheers.

what are the factors of 30 that have a sum of -11

Answers

Answer:1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

21 m
15 m
Which is closest to the length of XY?

Answers

Answer:

18.0 i think

Step-by-step explanation:

What is the surface area of the​ solid?

Answers

Answer:

120

Step-by-step explanation:

Determine whether or not the triangle with the given side lengths is a right triangle.
60 inches, 11 inches, 61 inches
leg a
in
leg b =
in
hypotenuse c =
in
Right triangle? Yes or No.

Answers

I would say no because I think the highest corner degree would be 79 degrees and a right triangle needs to be 90 degrees. Sorry if it’s wrong.

The function f(x) = -5x² + 20x + 55 models the height of a ball x seconds after it is thrown into the air. What is the total time that the ball is in the air?

Answers

Answer:

The ball is in the air for about 5.873 seconds.

Step-by-step explanation:

The function:

[tex]f(x)=-5x^2+20x+55[/tex]

Models the height of a ball x seconds after it is thrown in the air.

And we want to find the total time the ball is in the air.

So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:

[tex]0=-5x^2+20x+55[/tex]

We will solve for x. Dividing both sides by -5 yields:

[tex]0=x^2-4x-11[/tex]

The equation is unfactorable, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -4, and c = -11. So:

[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]

Approximate:

[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]

Since time cannot be negative, our only solution is the first choice.

So, the ball is in the air for about 5.873 seconds.

The Wilsons have triplets and another child who is 14 years old. The sum of the ages of their children is 38. How old are the triplets? Please give me the equation!! Correct answer will get brainliest

Answers

Answer:

Each age of the triplets should be 8 years old.

Step-by-step explanation:

38-14=24

24 divided by 3 = 8

Answer:

Triplets are 8 not sure on the equation but I think its y = 8x + 38.

Step-by-step explanation:

I'm assuming that all their ages together equal 38 therefore I would take,

38 - 14 = 24; this means that the triplets ages added together equal 24. Since triplets means 3 I will take,

24 dived 3 = 8.

I check my work by doing 14 + 8 + 8 + 8 = 38.

you asked for an equation I'm sure what you mean but I can try; I'm putting it into slope intercept form.

y = 8x + 38

BRAINLIEST!!! See pic BELOW!!!

Answers

i think it would be A since i think both sides have to be 160°

Answer:

160° = (10x + 50°) [Vertically Opposite Angles]

[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]

Option A. 11 is the correct answer.

Which equation can you use to find the value of x?
78°
3xº
(x - 2)
3x + 78 + x - 2 = 180
3x = 78
3x = 78 + x - 2
78 = x-2

Answers

Answer:

3×=78+×-2

..............

Answer:

3x = 78 + x - 2

Step-by-step explanation:

I got it right on Iready :]

3x^2+bx+24=0 if one of its root is 3

Answers

Answer:

Other root of equation, [tex]\frac{8}{3}[/tex]

Value of ([tex]b[/tex]), [tex]-17[/tex]

Step-by-step explanation:

The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,

[tex]y=ax^2+bx+c[/tex]

To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,

[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]

[tex](x_1)(x_2)=\frac{c}{a}[/tex]

Substitute the given values into the equation,

[tex]3+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=\frac{24}{3}[/tex]

Simplify,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=8[/tex]

Inverse operations,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex]x_2=\frac{8}{3}[/tex]

Substitute in the value of ([tex]x_2[/tex]),

[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]

Simplify, convert to improper fractions and combine like terms,

[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]

[tex]\frac{17}{3}=-\frac{b}{3}[/tex]

Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,

[tex]17=-b[/tex]

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