use the substitution method to solve the system of equations. y=-8x and 4x-y=3

Answers

Answer 1

Answer:

x = 1/4 and y = -2

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=-8x&(1)\\4x-y=3&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\4x-(-8x)=3\\4x+8x=3\\12x=3\qquad\text{divide both sides by 12}\\x=\dfrac{3}{12}\to x=\dfrac{1}{4}\\\\\text{put the value of x to (1):}\\\\y=-8\left(\dfrac{1}{4}\right)=-2[/tex]

Answer 2

Answer:

x = 1/4 and y = -2


Related Questions

To order a class ring, students must decide on a gold, silver, or white gold band and one of 15 stones. They must also choose from one of 30 activity symbols to put on the side. How many different ring selections are there?

Answers

Answer:

1350 different selections.

Step-by-step explanation:

They have 3 choices for the bands. 15 choices for the stones. and 30 choices for the symbols. Multiply 3 x 15 x 30 for the total number of selections.

Answer: There are 1,350 different ring selections.

Step-by-step explanation:

Given : The number of metals used for rings (gold, silver, or white gold ) =3

The number of stones they have = 15

The number of activity symbols = 30

By using the fundamental principal of counting , we have the total number of different ring selections as :-

[tex]3\times15\times30=1,350[/tex]

Therefore, there are 1,350 different ring selections.

A marching band bought 25 pairs of gloves and 15 pairs of shoes for a total cost of $374.25. Later they bought 14 pairs of gloves and 4 pairs of shoes for a total cost of $117.49. What is the price for one pair of shoes?

Answers

20.00 for each pair of shoes

Cost of one pair of shoes is $4.0625 (Approx.)

Given that;

Cost of 25 pair gloves and 15 pair shoes = $374.25

Cost of 14 pair gloves and 4 pair shoes = $117.49

Find:

Cost of one pair of shoes

Computation:

Assume;

Cost of one pair of gloves = a

Cost of one pair of shoes = b

So,

25a + 15b = 374.25 ......... eq1

14a + 4b = 117.49 ......... eq2

eq2 × 3.75

52.5b + 15b = 440.5875 ........ eq3

Eq3 - eq1

a = 2.41

So,

14a + 4b = 117.49

b = $4.0625

Cost of one pair of shoes = $4.0625 (Approx.)

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Match the activities to the type of income they generate. dividends, rent, interest, intellectual property sales, capital gains, multilevel marketing sales

Answers

Answer:

Portfolio Income: Dividends, Interest, Capitail Gains.

Passive Income: Intellectual Property Sales, Rent, Multilevel Marketing Sales

Hope this Helps! :)

Answer:

Portfolio: dividends, capital gains, interest

Passive: rent, multilevel marketing income, intellectual property sales

Step-by-step explanation:

Portfolio income is the income received through dividends, interest, or capital gains:

Dividends are distributed profits that a company pays to its shareholders.

Interest is the income generated by investing money in savings accounts or bonds.

Capital gains are profits earned by selling assets, such as stock or real estate. You earn capital gains after selling assets for higher prices than you paid to acquire them.

Here are the different types of passive income:

Rental income is income earned via renting apartments, houses, office buildings, or other properties owned.

Business income refers to income earned from a limited ownership stake in a business.

Creating or selling intellectual property involves income earned from an invention, sales of a book you wrote, profits from a movie, and so on.

Multilevel marketing income is income earned by increasing the company’s sales as well as recruiting other salespeople.

A bag contains 5 white marbles and 5 black marbles what is the probability of drawing a white marble not replacing it and then drawing a black marble

Answers

Answer:

5/10 or 1/2 because there is 10 marbles in total so denominator is 10 and we are pulling white marbles and there is 5 (so what ever the variable is for this case it is the white marbles that would be the numerator so 5/10)

Hope this Helps :D

Answer: white marble: you have a 5/10% chance

               Black marble: you have a 5/9% chance

Step-by-step explanation:

for the white marble you have 5 out 10 because there are half and half then you have to add them all up for the total and not placing it back in the bag there are only 9 left with still 5 black ones so you have a 5 out 9 chance to get a black one

Myles mows lawns during the summer to earn money. Since he is trying to save money for a car, he tries not to spend very much of it. In fact, his goal is to save $5 for every $7 he makes.

If Myles made $128 this week, how much can he spend?

Answers

$36

128/7 is about 18

18x2= 36

Answer:

36.57

Step-by-step explanation:

Julie’s employer does a 50% match to its employees’ contributions to their 401k accounts. If Julie puts $12,000 in her 401k, what is her balance after her employer’s contribution is added?

A
$ 6,000
B
$ 12,000
C
$ 18,000
D
$ 24,000

Answers

Answer: C 18000

Step-by-step explanation:

Julie contributes $12,000 to her 401k and her employer matches 50% of this amount, contributing an additional $6,000. Thus, the total balance in Julie's 401k after the employer's contribution is added is $18,000.

The question involves calculating the total balance in Julie's 401k account after her employer's contribution. Julie contributes $12,000 to her 401k, and her employer offers a 50% match on contributions. To find the total balance, first calculate the employer's contribution, which is 50% of Julie's contribution, so $12,000 x 0.5 = $6,000.

Adding the employer's contribution to Julie's contribution gives us the total balance in the 401k account. Therefore, $12,000 (Julie's contribution) + $6,000 (employer's match) = $18,000.

HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST.

Answers

Answer:

23  D

24  B

25  Add 6.1 to each side

Step-by-step explanation:

23.  w+2 < -1

Subtract 2 from each side

w+2-2 <-1-2

w < -3

There is an open circle at -3 with a line going to the left

Choice D

24.  -15 > q-5

Add 5 to each side

-15+5> q-5+5

-10>q

q must be less than -10

B {-11,-12,-14}  are the only numbers all less than -10

25 p-6.1=10

Add 6.1 to each side

p-6.1+6.1 = 10+6.1

p =16.1

Answer:

24) C: {-9, -8, -7}

25) Add 6.1 to both sides of the equation.

Step-by-step explanation:

Question 24 is asking which set of numbers when subtracted by five is still greater than -15. C is the only one that matches.

(Edit: I realize after reading another answer that B is correct, not C. I misread the question.)

In question 25 you can easily solve for p by adding 6.1 to both sides of the equation.

Quadrilateral ABCD is inscribed in a circle. Find the measure of angle D. Show your work.

Answers

Answer:

80°

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral add up to 180.

(2x + 13) + (3x + 37) = 180

(2x + 3y) + (5y) = 180

Solving the first equation:

5x + 50 = 180

5x = 130

x = 26

Solving the second equation:

2x + 8y = 180

2(26) + 8y = 180

52 + 8y = 180

8y = 128

y = 16

5y = 80.  So ∠D = 80°.

Solve for x in the equation x^2 -10+25=35?

Answers

Answer:

5[tex]\frac{+}{-} \sqrt{35}[/tex]

Let's solve your equation step-by-step.

x^2−10+25=35

Step 1: Simplify both sides of the equation.

x^2+15=35

Step 2: Subtract 15 from both sides.

x^2+15−15=35−15

x^2=20

Step 3: Take square root.

x=±√20

Katya is baking cookies that require 8 1/2 grams of vanilla paste per batch. She has 22 1/5 grams of vanilla paste. How many batches of cookies can she bake?

Answers

Answer:

2 batches

Step-by-step explanation:

8.5×2=17

8.5 cant go into 22.2 anymore or else it'd be over 22.2

so  you can only make 2 batches

Write the most precise name for the space figure with the given properties

A lateral surface and two circular bade

A. Prism
B.cylinder
C.sphere
D.cone

Answers

I think the answer is B. Cylinder

A lateral surface and two circulars bade is a cylinder.

We have given that,

A. Prism

B.cylinder

C.sphere

D.cone

We have to determine the

A lateral surface and two circulars bade,

What is the cylinder?

A cylinder has traditionally been a three-dimensional solid, one of the most basic curvilinear geometric shapes. Geometrically, it can be considered as a prism with a circle as its base.

The most precise name for the space figure with the given properties

A lateral surface and two circulars bade is a cylinder.

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state the slope and y intercept for the graph of each equation y=-3x-2​

Answers

the slope is -3 and the y intercept is -2

please help thx so much

Answers

Answer: i believe your answer is (80/99)

Step-by-step explanation:0.8080... repeating is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction.In rational form, it is 80/99.

I hope i helped :)

[tex] \frac{80}{99} [/tex]

[tex]x = 0.808080[/tex]

[tex]100x = 80.808080[/tex]

[tex]99x = 80[/tex]

[tex]x = \frac{80}{90}[/tex]

Solve by using the x-intercept method:
x^3+x^2-17x+15=0

A. 1,17,15
B. -5,1,3
C. 1,3,5
D. -3,1,5

Answers

Put into graphing calculator and get B.-5,1,3

The correct answer is B, or -5, 1, 3.

Just got it right on edge 2020, hope this helps!! :)

HELP PLEASE?
Henry showed all the steps he took to solve the equation.
(picture)

Sammy tried to verify the solution by substituting x=5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?

Step 1 is wrong because the distributive property of equality was used incorrectly.
Step 2 is wrong because the addition property of equality was used incorrectly.
Step 3 is wrong because the subtraction property of equality was used incorrectly.
Step 4 is wrong because the division property was used incorrectly.

Answers

Answer:

Step 3 is wrong.

Step-by-step explanation:

They must subtract the 28 from 15 first. This will give you 3x=-13. Then, you divide each side by 3, giving an answer of x=-4.33, or x=-13/3.

Answer:

step 3 is wrong

Step-by-step explanation:

consider step 2

3x + 28 = 15 ( subtract 28 from both sides ) gives

3x = 15 - 28

3x = - 13 ← what step 3 should be

i need help on 19 please thank you

you get 20 points for it

Answers

Answer:

As i can help you the answer is

Step-by-step explanation:

-13+(-56)÷14÷9=-13.4444444 so i goes on countinusly

-16•3-(-36)÷12= -13.3 so these are the answers and mark me as a brainliest

The value of a 1970 comic book has increased 12% per year. It originally sold for $0.35. Write an exponential equ Show your work.ation that models this situation and use it to answer the question.

Answers

we can think of this as the same as a deposit in a bank, so let's use the compound interest formula, since the book is increasing in value 12% per annum.

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$0.35\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &t \end{cases} \\\\\\ A=0.35\left(1+\frac{0.12}{1}\right)^{1\cdot 5}\implies A=0.35(1.12)^t[/tex]

How do I graph this.

Answers

bad cropping, but there it is. i suggest using an app called photo math if youre having trouble. it shows you the step by step process

What is the solution for the following system of equations? x +2y= 6

Answers

Answer: The answer to your question is infinitely many solutions

Step-by-step explanation: There is two solutions to the system of equations, which means there is complex solutions, or in other words many solutions. And when you have more than one solution, you have infinitely many solutions. Hope this helps:)

And please mark my answer the brainliest

Simplify (-6)×(-6)^2​

Answers

Answer:

-216

(-6)^3

Step-by-step explanation:

-6 * (-6*-6)

-6 * 36

-216

or

-6 * -6 *-6

This is -6 multiplied together 3 times

(-6) ^3

What is the equation of the line that passes through the points (1,-1) and (3,3)

Answers

Answer:

y=2x-3

Step-by-step explanation:

y=mx+b

-1=1m+b

3=3m+b

subtract those two ^

-4=-2m

2=m

-1=1m+b

-1=1(2)=b

-1=2+b

-3=b

y=2x-3

Fill in the blank. Given ○R below, you can conclude that RA is congruent to ____.



(clicked A. on accident)​

Answers

Answer:

D

Step-by-step explanation:

Answer D is correct.  The indicated line segments are both radii of the circle and are thus of the same length (and thus, congruent).

Answer: D. RE

Step-by-step explanation:

In the given picture , we have a circle with center R having two chords as WF and MU.

The two chords WF and MU have equal length.

i.e. [tex]WF=MU=11.2[/tex]

We know that the equal chords of a circle are equidistant from the center.

⇒ [tex]\overline{RA}=\overline{RE}[/tex]

Therefore, we conclude that RA is congruent to RE.

Need help plsss plsss plsss

Answers

Answer:

144%

Step-by-step explanation:

36/25= 1.44

1.44 x 100

Answer:144%

Step-by-step explanation:

To write 36/25 as a percent you have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

36/25 * 100 = 1.44 * 100 = 144%

Hope it helps

which best describes the rule for this pattern?
1,-12,12,-1...

a) Subtract -24, then add 13
b) Subtract -13, then add 24
c) Subtract 13, then add 24
d) subtract 24, then add 13

Answers

b is the correct answer it's the only 9ne that fits

What is the order of the matrix

Answers

Answer:

Order of a matrix is determined by the number of rows and columns the matrix consists. For example if a matrix is 2 X 5 matrix where 2 is the number of rows and 5 is the number of columns then the order of the matrix is 2 X 5.

How many square feet of outdoor carpet will we need for this hole?

Answers

6+6+2 = 14

6 + 6 + 4 + 2 = 18

18+14 = 32

The answer is 32.

Hope this helps!

Answer:36 ft squared

Step-by-step explanation:

24 ft squared plus 12 ft squared equals 36 ft squared

what is the value of x?​

Answers

Answer:

135????

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{x}[/tex]

Multiply both sides by x

x × sin45° = 4[tex]\sqrt{2}[/tex] ( divide both sides by sin45° )

x = [tex]\frac{4\sqrt{2} }{\frac{\sqrt{2} }{2} }[/tex]

   = 4[tex]\sqrt{2}[/tex] × [tex]\frac{2}{\sqrt{2} }[/tex] = 4 × 2 = 8

If two angles of a triangle have measures of 42° and 20°, what is the measure of the third angle?

Answers

Answer:

118°

Step-by-step explanation:

The sum of a triangle is always gonna be 180°. Adding 42° and 20° you get 62°. When you subtract 180° minus 62° you the third angle which is 118°.

the answer is 118

every triangle equals 180 so just subtract 180 and the two angles and boom 118 degrees

The floor of Paul's and Matthew's rectangular bedroom is 132 square feet. The bedroom is 11 feet wide. HOw long is the bedroom?

Answers

It’d be 12 because you have to divide 132 by 11

Answer: 12 feet.

Step-by-step explanation:

The formula used to calculated the area of a rectangle is:

[tex]A=l*w[/tex]

Where "l" is the lenght and "w" is the width.

You need to find the lenght of the bedroom, then you must solve for the lenght "l":

[tex]l=\frac{A}{w}[/tex]

You know that the floor of Paul's and Matthew's rectangular bedroom has an area of 132 square feet and its width is 11 feet. Then, you can substitute these values into [tex]l=\frac{A}{w}[/tex] to calculated the lenght. Therefore, the result is:

[tex]l=\frac{132ft^2}{11ft}[/tex]

[tex]l=12ft[/tex]

Is 5000 cm greater or less than 5 m

Answers

Answer: 5000 cm is greater than 5 m

Step-by-step explanation:

When you convert 5000 cm to m 5000 cm is equal to 50 m so 5000 cm is greater than 5 m

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