Use substitution to solve the following system of equations. 4x – 13y = -12 AND X = 2y - 8 ​

Answers

Answer 1

Answer:

y=5/4=0.8

Step-by-step explanation:

(4×2y−8)−13y=−12

Multiply 4 and 2 to get 8.

8y−8−13y=−12

Combine 8y and −13y to get −5y.

−5y−8=−12

Add 8 to both sides.

−5y=−12+8

Add −12 and 8 to get −4.

−5y=−4

Divide both sides by −5.

y=−5−4

Fraction −5/−4 can be simplified to 5/4 by removing the negative sign from both the numerator and the denominator.

y=5/4


Related Questions

I need help on this part

Answers

Answer:

ang 4 = 60°

Step-by-step explanation:

ang 1 and ang 4 are Linear pair or supplementary angles.

ang 1 + ang 4 = 180

120° + ang 4 = 180° (Putting the value of ang 1)

ang 4 = 180° - 120°

ang 4 = 60°

3/4 -5/8 in simplest form plz

Answers

C bc it’s c my dad left me help jk
It’s 1/8 that’s what I got

Find the total surface area of the
following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2

Answers

Answer:

Total surface area = 340 cm²

Step-by-step explanation:

Surface area of the given prism = Area of two bases + Area of its lateral surfaces

Area of pentagonal base = [tex]\frac{1}{2}(\text{Apothem)}(\text{Perimeter})[/tex]

                                          = [tex]\frac{1}{2}(3.6)(5\times 5)[/tex]

                                          = 45 cm²

Area of the lateral sides of the prism = Perimeter of the pentagonal base × height

= (5×5)×10

= 250 cm²

Total surface area of the prism = 2(45) + 250

                                                     = 90 + 250

                                                     = 340 cm²

A B C D ..........zzz

Answers

Answer:

QA = DU

yakno with the squiggly line over the equals sign

Rodney has $450 in his bank account. He is spending $20 per week. Which of the following equations represents the amount of money, M, in Rodney's account after w weeks?​

Answers

Answer:   M = -20w + 450

Step-by-step explanation:

M = -20w + 450

450 is the amount in his bank account; because he is spending $20 per weeks, so it's -20w.

determine the 1st term of the first 21 term of an arithmetic series if the sum of the three middle term is 126 and the sum of the three last terms is 288

Answers

Answer:

- 18

Step-by-step explanation:

arithmetic  sequences are in form:

a(n)=a(o)+d(n-1)

sum are in form:

s(n)=[a(0)+a(n)](n/2)

three middle terms is:

10th, 11th, 12th term

How to think: 21 = 10+1+10 --> middle 3 is 10,11,12

sum of these 3 terms:

a(10)+a(11)+a(12)

=a(o)+9d+a(0)+10d+a(0)+11d

=3a(0)+30d=126

a(0)+10d=42 ......(equation 1)

Last three terms is:

19th, 20th, 21th

a(19)+a(20)+a(21)

=a(0)+18d+a(0)+19d+a(0)+20d

=3a(0)+57d=288

a(0)+19d=96 ......(equation 2)

now you have

a(0)+10d=42 ......(equation 1)

a(0)+19d=96 ......(equation 2)

solve and gives

d=6

a(0)= -18

I just need the right answer with steps

Answers

Y -6 = 2(x+5)
y - 6 + 6 = 2x + 10 + 6
y = 2x + 16
So y = 2x + 16 is your answer

4. Which line represents the function y=10(1.05)^x
10 points
25
20
15
5
Blue
Green
Red

Answers

Answer:

EX: Use three coins to represent the wolf, the goat, and the cabbage. ... The slope from (0, 0) to any point (x, y) on the line will be y_ x . 8b. b 7.5. 9a. ... 11b. x 2. 10x. 25 x. 4 x x2. 4x. 7. 7x. 28. 11c. xy 2y 6x 12 11d. x 2. 2x. 3. 2 x y ... 13c. 4 yr. 13d. 24. ___. 20. 6 __. 5 1.2. 14a. 3 x 2. 16x 5. 1. 3x x 3x2. 15x. 5. 1x.

Step-by-step explanation:

Hello! May someone please help on this :)
I would probably give brainliest.

Answers

Answer:

theres 16 doughnuts

Step-by-step explanation:

The Wall Street Journal Corporate Perceptions Study surveys readers and asks how each rats the quality of management and the reputation of the company for over worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for respondents below:
Reputation of Company
Quality of Management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A. Use level of significance and test for independence of the quality of management and the reputation of the company. Compute the value of the test statistic (to 2 decimals).
B. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.

Answers

Answer:

Step-by-step explanation:

[tex]\text{The data given for the quality measurement and other criteria can be seen below:}[/tex]

Quality management      Excellent      Good      Fair      Total

Excellent                             40                   25         5             70

Good                                   35                    35        10            80

Fair                                       25                   10         15             50

Total                                    100                   70        30           200

The null and alternative hypothesis:

[tex]\mathbf{H_o: \text{the quality management and reputation are independent} }[/tex]

[tex]\mathbf{H_a: \text{the quality management and reputation are not independent} }[/tex]

The expected value is calculated by using the formula:

[tex]E=\dfrac{row \ total \times column \ total }{table \ total}[/tex]

After using the formula to calculate the table above; we have:

The expected values of the data to be:

Quality management     Excellent         Good      Fair      Total

Excellent                            35                  24.5       10.5      70

Good                                  40                   28         1.2         80

Fair                                     25                  17.5        7.5         50

Total                                   100                  70        30           200

Degree of freedom = ( row - 1 ) × ( column -1 )

[tex]= (3 - 1 ) \times (3 -1)[/tex]

[tex]= 2\times 2[/tex]

[tex]=4[/tex]

[tex]\text{The p-value at level of significance of 0.05 and degree of freedom of 4 = }\mathbf{0.0019}[/tex]

Decision rule: To reject the [tex]\mathbf{H_o}[/tex] if the p-value is less than the ∝

Conclusion: We reject the [tex]\mathbf{H_o}[/tex] and conclude that quality management and reputation are not independent.

(B)[tex]\text{The P-value here implies that in case that there is no dependence between the two ratings, }[/tex][tex]\text{the probability that they will seem to show at least this kind of strong dependence is 0.0019.}[/tex]

[tex]\text{Thus, the probability that they will seem to show at least this kind of strong independence is =}[/tex][tex]\mathbf{0.0019}[/tex]

3. Three model greenhouses are shown below. They are made by covering the tops and sides of a wood frame with plastic. The bottom of the green house is not covered with plastic. Of the three models, which has the greatest amount of plastic needed to make it and which has the least amount of plastic needed? 3 ft ) 5 ft 5 ft 5 ft 3111/ 8 ft 6 ft 6 it 8 ft 8 ft 6 ft 8 ft Model A 12 ft Model B 10 ft Model C​

Answers

Answer:

New Materials Have Made Greenhouses Less ... In our garden, we recently had a major ... Besides the trends mentioned above, there are many ... Since seasonal rains will not reach your greenhouse plants, you need to ... Glass and clear plastic function in basically the ...

Step-by-step explanation:

Describe the slope of the line.
The slope is
Find the slope.
m =
step by step explanation

Answers

Answer:

The slope is POSITIVE.  

The line has a slope of positive 4/3

Step-by-step explanation:

It rises 4 then runs 3.

I need help with this question !!​

Answers

Answer:

Step-by-step explanation:

Yes, A-A-A

The angle measurements in the diagram are represented by the following expressions

Answers

Answer:

∠A is equal to 73°

Step-by-step explanation:

Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°

With that we can take the two equations at the top, and add them together for a sum of 180°:

6x - 35° + 3x + 53° = 180°

9x + 18° = 180°

x + 2° = 20°

x = 18°

Now that we have x, we can solve for ∠A:

∠A = 6x - 35°

∠A = 6(18°) - 35°

∠A = 108° - 35°

∠A = 73°

We can test our answer by solving for ∠B.  We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°.  Now let's solve for be given x and the original equation, and see if we have the right numbers:

∠B = 3x + 53°

∠B = 3(18°) + 53°

∠B = 54° + 53°

∠B = 107°

Which matches up, showing us that we have the correct answer.

A pizza dinner for $20 was marked down 20%. What was the new sale cost of the dinner?​

Answers

Answer:

$16

Step-by-step explanation:

take 20 multiply it by 0.2 and you get 4 multiplied by 4 is 16 so it is 16 dollars

16 that’s your answer to ur question

whoever answers this correctly gets brainliest

Answers

Answer:

Democratic is the one that says the government should play an active role. Republican is the second choice (should be limited)

Answer: For the first, (goverment should play an active role in resolving social or economic issues) would be the Democratic Party.

And the Second (Government power should be limited and not used to resolve social or economic issues) is the republican.

Please someone explain how to solve this piecewise function!!!! Im super confused

Answers

Answer:

From top to bottom:

[tex]0, 1, 2, -8, -8[/tex]

Step-by-step explanation:

We are given the piecewise function:

[tex]g(x) = \left\{ \begin{array}{ll} 0.5x+1 & \text{if } x \leq 2 \\ -8 & \text{if } x > 2 \end{array} \right.[/tex]

Row 1:

We want to find g(-2).

Since -2 is less than (or equal to) 2, we will use the first equation. Thus:

[tex]g(-2)=0.5(-2)+1=-1+1=0[/tex]

Row 2:

Likewise, 0 is less than or equal to 2. We will continue to use the first equation:

[tex]g(0)=0.5(0)+1=1[/tex]

Row 3:

2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:

[tex]g(2)=0.5(2)+1=1+1=2[/tex]

Row 4 and 5:

Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:

[tex]g(4)=-8\text{ and } g(6)=-8[/tex]

Please explain in words.

Answers

Answer:

No

Step-by-step explanation:

When you are adding a positive by a negative, simply subtract and take the sign of the larger number.

A boat traveled one hundred fifty feet in 9.7 seconds. How far would the boat travel in one minute thirty seconds?

Answers

Answer:

40250

Step-by-step explanation:

You have to just basically multiply 9.7x50 and that’s your answer I think .

can somebody help me with this

Answers

Answer:

[tex]y = -x^2+3x+4[/tex]

Step-by-step explanation:

( -1, 0) , (0, 4) , (4, 0)

y = a(x − b)(x − c)

x-intercept = -1

x = -1

(x + 1) = 0

x-intercept = 4

x = 4

(x - 4) = 0

y = (x + 1)(x - 4)

4 = a(0 + 1)(0 - 4)

4 = a (1)(-4)

4 = -4a

a = -1

y = -1(x + 1)(x - 4)

[tex]y = -x^2+3x+4[/tex]

Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn at least $170. If xx represents the number of hours lifeguarding and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

[tex]x = 4\\y = 9[/tex] hours

Step-by-step explanation:

Given -

x represents the number of hours lifeguarding and y represents the number of hours landscaping

[tex]x+ y = 13[/tex] -----Eq ( 1 )

and

[tex]20 * x + 10 * y = 170[/tex] -----Eq ( 2 )

Substituting the value of [tex]x = 13-y[/tex] in equation 2, we get -

[tex]20* (13 - y) + 10 y = 170[/tex]

[tex]260 - 20 y + 10 y = 170\\10y = 90\\y = 9[/tex]

[tex]x = 13-9 = 4[/tex]

the sumof the present ages of a father and his son is 60 years. 6years ago, the father's age was 5 times the age of his son.after 6 years, how old will the son be?​

Answers

Answer:

20 years

Step-by-step explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 6 = 5(x - 6)

54 - x = 5x - 30

6x = 84

x = 14.

Son's age after 6 years = (x+ 6) = 20 years..

I hope this helps a little bit.


How many cubic feet will it take to the
prism below?

A. 560 ft cubed
B. 480 ft cubed
C. 280 ft cubed
D. 210 ft cubed

Answers

Answer:

C. 280 ft cubed

Step-by-step explanation:

1/2x7x5x16=280

The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)

Answers

Answer:

He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.

Step-by-step explanation:

Confidence interval:

A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.

In this question:

Sample mean: 279.4 calls

Lower bound: 266.5 calls

Upper bound: x calls

Due to the symmetry of the confidence interval:

[tex]x - 279.4 = 279.4 - 266.5[/tex]

[tex]x = 12.9 + 279.4[/tex]

[tex]x = 292.3[/tex]

So

He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.

Thinking about the table...Why does this
table start at zero? Why aren't there any
negative numbers in the DOMAIN?

Answers

Answer:

Why does this table start at zero?

The vertical axis on trending charts should almost always start at zero. The reason it's almost always is because you may have trending data that contains negative values or fractions. In those situations, it's generally best to keep Excel's default scaling.

Why aren't there any negative numbers in the DOMAIN?

There are no domain restrictions, even though there is a variable under the radical. Since , can never be negative. The least it can be is , so there is no danger of taking the square root of a negative number.

Step-by-step explanation:

Hope it is helpful....

find the number of terms in following algebraic expressions.​

Answers

Answer:

it needs time wait for 10 min.

Reflect the figure across the y- axis, then state the ordered pairs of the image.

May someone please explain how I would reflect it?

Answers

B’ (3, 2)
R’ (2, -3)
X’ (-2, 0)
Z’ (-2, -2)

EXPLANATION:
Reflecting a figure across the y-axis basically means flipping all of the x-values of your coordinates while retaining its y-value.
In other words, flip the signs of x and keep y the exact same for each coordinate.
B (-3, 2)
=
B’ (3, 2)

Nikki brought a patio set on sale for $480 the original price was 850 what is the rate of discount

Answers

Answer:

43.5%

Step-by-step explanation:

Substitute the original price of $850 and the sale price of $480 to find

amount of discount=850−480=370

Use the amount of discount, $370, to find the discount rate. Use the equation

amount of discount=discount rate×original price.

Rearrange the equation to solve for the unknown value.

discount rate=amount of discountoriginal price

Substitute in the known values and solve to find the discount rate.

370850=0.435=43.5%

Thus, the discount rate on the patio set was 43.5%.

Subtract the fractions. Simplify if possible. 3/4 - 1/4 - 2/4 =

Answers

This ones really easy. When the denominators are the same, all you have to do is subtract the numerators. So 3-1-2=0. Now put the denominator in: 0/4. But to simplify it, just 0.
Answer is 0

How do I answer this ? (1 + 3x)º
44°

Answers

Answer:

132x+44

Step-by-step explanation:

(1+3x)(44)

=(1+3x)(44)

=(1)(44)+(3x)(44)

=44+132x

=132x+44

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