The sum of two numbers is -36. One number is 106 less than the other. Find the numbers.

Answers

Answer 1

Answer:

71 and -35

Step-by-step explanation:

so with this we can set up a system of equations

x+y=36

and

x-y=106

now we can add these equations together to eliminate y

x+y=36 plus

x-y=106 equals

2x=142

divide both sides by 2

x=71

now we can plug that in

71+y=36

subtract 71 from both sides

y=-35

Answer 2

Answer:

-71 and

35

Step-by-step explanation:

Let the numbers be x and y

x + y = -36

x = y - 106

Substitute y - 106 or x in the first equation

We have

x + y = -36

y - 106 + y = -36

y + y - 106 = -36

2y - 106 = -36

Add 106 to both sides to eliminate -106 on the left side

2y - 106 + 106 = -36 + 106

2y = 70

Divide both sides by 2

2y/2 = 70/2

y = 35

Substitute 35 for y in either equation to get x

Using the second equation, we have

x = y - 106

x = 35 - 106

x = -71

The numbers are 35 and -71

Check

x + y = -36

-71 + 35 = -36

-36 = -36


Related Questions

Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

I’m guessing it’s Y=-2x-1

A Sphere has a diameter of 20 centimeters.What would be the volume of the sphere?

Answers

Answer:4189.33cm^3

Step-by-step explanation:

To find the volume of a sphere of diameter 20cm

Volume of a sphere=4/3πr^3

R=20/2

R=10cm

V=4/3×3.142×(10cm)^3

V=4189.333cm^3


The formula for the circumference C of a circle with diameter d is C = xd. Write an expression to represent the circumference of the following circle

Answers

Final answer:

The circumference of a circle is calculated based on its diameter using the formula C = πd. Replace 'd' with the value of the circle's diameter to obtain an expression representing the circumference.

Explanation:

The formula for the circumference C of a circle with a diameter d is given by C = πd, where π (Pi) is approximately 3.14. To write an expression to represent the circumference of a specific circle, simply replace the term 'd' with the actual diameter of the circle. For example, if the diameter of the circle is 10 units, then the expression for the circumference would be C = π * 10 or C = 3.14 * 10, hence the circumference C of the circle would be about 31.4 units.

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How do you set up this equation ?

Answers

Given:

Quadrilateral PQRS is a rhombus.

To find:

The value of y.

Solution:

In the rhombus PQRS,

PS = 10y and SR = y + 45

Property of rhombus:

All sides are congruent.

⇒ PS = SR

⇒ 10y = y + 45

Subtract y from both sides.

⇒ 10y - y = y + 45 - y

⇒ 9y = 45

Divide by 9 on both sides.

[tex]$\Rightarrow \frac{9y}{9} =\frac{45}{9}[/tex]

y = 5

The value of y is 5.

Free Brainliest for the correct answer!!!!

Answers

Step-by-step explanation: the 1st answer

Answer:

It’s 8 1/6

Step-by-step explanation:

four whole numbers are rounded to the nearest 10.the sum of the rounded numbers is 90.what is the maximum possible sum of the original four numbers?

Answers

Answer:

106

Step-by-step explanation:

numbers are 24, 24, 24, 34

24 + 24 + 24 + 34 = 106

James says that all numbers have
an even number of factors.
Is he correct?

Yes or no and why

Answers

Answer:

No

Step-by-step explanation:

B cause only numbers that have a perfect square are even number of factors.

For example

[tex]25 = 5 .1.25[/tex]

But,

[tex]16 = 1 .2.16.8.4[/tex]

Hence, 16's number of factors is more than 25

Brainliest would be appreciated :))

What was the mean high temperature in may for each city, rounded to the nearest degree?
Pls answer fast whoever answers first will be mark the brainliest ❗❗

Answers

Answer:1st one:87

2nd one:85 i think this is right

Find the area of the rhombus.
A=
square units

Answers

Answer: A=70 square units

Step-by-step explanation:

The area of a triangle can be found using the formula [tex]A=\frac{1}{2} bh[/tex]

Let 5=h and 7=b

Plug in the values and solve

[tex]A=\frac{1}{2} (7)(5)[/tex]

[tex]A=17.5[/tex]

However, since four of these triangles make up this rhombus, we can multiply the area of one of these triangles by four to find the area of the whole rhombus.

[tex]A=17.5*4[/tex]

[tex]A=70[/tex]

Penny drives a truck. The function p = 20h + 75 represents her daily pay, in dollars, for working h hours. She travels 60 miles each hour. She also receives $0.10 for each bonus mile she drives. The function b = 60h × (0.10) represents the amount she earns for her bonus. Which function represents Penny's earnings, P, for driving h hours?

Answers

Answer:

Penny's earning for driving h hours is represented by the function

P = 26h + 75

Step-by-step explanation:

- The function p = 20h + 75 represents her daily pay

- The function b = 60h × (0.10) represents the amount she earns for her bonus.

Penny's earnings is the addition of her daily pay and bonus.

It is represented by the function P.

P = (20h + 75) + 60h × 0.10

Simplifying this, we have

P = 20h + 75 + 6h

= 26h + 75

All fleece jackets are 30% off of the original price at Mike's Outdoor Store. You have a coupon for 15% off any item to shop with. How much does a $100 fleece jacket cost after the sale and the coupon? (Show Work.)

A: $59.50
B: $70.00
C: $130.00

Answers

Answer:

A

Step-by-step explanation:

30% of 100 = 30

100 - 30 = 70

15% of 70 = 10.5

70 - 10.5 = 59.5

56/15 as a decimal rounded to the nearest tenth

Answers

The decimal of  56/15 as rounded to the nearest tenth is 3.7.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts.

On dividing 56 /15 we get

56 / 15 = 3.7333333333333

The round nearest to5 is taken as value 1 and less than 5 is taken as value 0.

So, The round to the nearest tenth is 3.7

Therefore, 56/15 as a decimal rounded to the nearest tenth is 3.7.

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Final answer:

To convert 56/15 to a decimal and round to the nearest tenth, you divide 56 by 15 to get 3.7333 and then round it down to 3.7 since the hundredths place is less than 5.

Explanation:

The question is asking to convert the fraction 56/15 to a decimal and round it to the nearest tenth. To convert a fraction to a decimal, you need to divide the numerator by the denominator. In this case, divide 56 by 15. The decimal form of 56/15 is approximately 3.7333. When rounding this number to the nearest tenth, we look at the hundredths place, which is a 3. Since it's less than 5, we do not round up. Therefore, the decimal rounded to the nearest tenth is 3.7.

1) Circle the equation that is NOT an example of direct variation.
A) y= 3 X+1
B)y= 16x
C) y = 4x
D) y=-9x

Answers

Answer:

A) y= 3 X+1  

Step-by-step explanation:

A direct variation is of the form

y = kx

A) y= 3 X+1   not a direct variation since we add 1 to it

B)y= 16x  direct variation

C) y = 4x  direct variation

D) y=-9x direct variation

Answer:

The answer is A) y= 3 X+1  

Step-by-step explanation:

I broke it down on paper.


Find the value of x. The diagram is not to scale. Explain your reasoning.

Answers

Answer:

x = 24

Step-by-step explanation:

Since SR = ST then Δ RST is isosceles, thus the base angles are congruent.

∠ SRT = ∠ STR = 4x - 60

∠ STR and ∠ STU are adjacent and supplementary, thus

∠ STR + ∠ STU = 180, substitute values

4x - 60 + 6x = 180, that is

10x - 60 = 180 ( add 60 to both sides )

10x = 240 ( divide both sides by 10 )

x = 24

A line passes through the point (-8,-2) and has a slope of -
Write an equation in slope-intercept form for this line.

Answers

Answer:

Step-by-step explanation:

hello :

the slope-intercept form is : y-(-2) = m(x-(-8))    when : m is the slope

Side AB of rectangle ABCD is contained within the line y = 2x - 7. What is the slope of the adjacent side, BC?


A. 1/2

B. -2

C. -1/2

D. 2

Answers

The answer is c I hope this helped

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

x + y=24  

x=24-y = 3x+5y=100  

3(24-y)+5y=100

72-3y+5y=100

72+2y=100

2y=28

y=14, since x=24-y

x=10

So there are 10 3-point questions and 14 5-point questions.

Answer:

the answer is B

Step-by-step explanation:

Te exercise video started at 1:37pm. It
ended at 2:20pm. How long was the exercise
video?

Answers

Answer:

43 minutes.

I do not know if this question is a joke, but I hope this helps

83 minutes long = One hour and 23 minutes long

I need help The table displays the mean for seven random samples which value is the best estimate of the mean of the population

Answers

Answer:

The mean is every number added divided by the number of the numbers, so in your case would be all the populations added divided by 7

Which blood type is independent of gender? A O B AB

Answers

AB Is the Correct Awnser

blood type A is independent

The diagram below shows triangle MNR with ray NM. Triangle M N R. Angle N is 97 degrees. Side N M extends to form an exterior angle of M with a measure of 115 degrees. What is the measure of Angle M R N? 3° 5° 18° 28°


Answers

Answer:

18 degrees.

Step-by-step explanation:

115-97=18

The calculated measure of the angle MRN is 18 degrees

Calculating the measure of Angle MRN?

From the question, we have the following parameters that can be used in our computation:

Triangle = MNR

Angle N = 97 degrees

From the attached figure

Segment NM is an extension from the exterior angle of M

By the sum of opposite interior angles of triangle, we have

MRN + ∠N = 115 degrees

This means that

MRN + 97 = 115 degrees

Subtract 97 from both sides

MRN = 18 degrees

Hence, the measure of the angle MRN is 18 degrees

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Morgan babysits every Saturday. The equation d = 9.5h

represents how much she earns after h hours. Last week,

she also babysat on Friday and earned $63 for 6 hours.

Which statement is true?


A. Morgan earns the same amount per hour on Friday and Saturday.


B. Morgan’s hourly rate on Friday $12 per hour.


C. Morgan earns more money per hour on Friday.


D. Morgan earns more money per hour on Saturday.

Answers

Answer:

Morgan earns more money per hour on Friday.

Step-by-step explanation:

Using the equation d= 9.5h, we see that the hourly rate for Saturday is 9.5, which is $9.50.

On Friday, she babysits 6 hours and earns $63.  This is an hourly rate of 63/6 = 10.5, or $10.50.

She earns more money on Friday.

The statement that is true is C. Morgan earns more money per hour on Friday.

From the information given, Morgan babysits every Saturday and the equation is given as d = 9.5h

Last week, she also babysat on Friday and earned $63 for 6 hours. This means the rate will be 63/6 = $10.5

Therefore, based on this, we can see that the rate on Friday is better.

Therefore, Morgan earns more money per hour on Friday.

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OMG 25 POINTS!!!! HURRY AND GET SOME BRAINLIEST But MAKE SURE ANSWER IS RIGHT OR ILL REPORT YOU!!!!



Which statement best describes the association between variable X and variable Y?




moderate positive association

perfect positive association

moderate negative association

perfect negative association

Answers

The correct answer is the fourth option.

Given is a scatter graph with points marked on the graph. The x axis shows the dependent variable and y axis the independent variable

From the graph we see that there seems to be a linear relationship but not fully perfect.  Because so many points deviate from the line we can only say that there is a moderate association.

Whenever x increases y increases also the linear regression line of fit has a positive scope.

Hence there is a positive association between variable x and variable Y.

There are 8 marbles in a jar. One of the marbles is clear. What is the decimal expansion of 1/8? please help me

Answers

Answer:

Step-by-step explanation: 1/8 = .125

 move two decimals to right = 12.5

Final answer:

The decimal expansion of 1/8 is 0.125, which is also the probability of drawing a clear marble from a jar of eight marbles, if only one of those marbles is clear.

Explanation:

The question asks for the decimal expansion of 1/8. To determine the decimal expansion of the fraction, you simply divide the numerator (the top number, which in this case is 1) by the denominator (the bottom number, which in this case is 8). When performed, 1 divided by 8 results in the decimal 0.125. This concept is similar to calculating probabilities in which the total number of outcomes is divided by the desired outcome. For example, in the case of the marbles in a jar, if one is clear and there are eight total, the probability of drawing a clear marble is also 1/8 or 0.125.

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Please help with the answer

Answers

The area of the circle is 201.1 sq cm. Option B

Step-by-step explanation:

Given,

The radius (r) of the circle = 8 cm

To find the area of the circle.

Formula

Area of the circle = πr²

So,

Area = [tex]\frac{22}{7} X8^{2}[/tex] sq cm

= 201.14 sq cm = 201.1 sq cm

Hence,

The area of the circle is 201.1 sq cm.

The discount store is having a big sale. Paper towels are two rolls for 1 dollar. Disposable diapers are 3 dollars a box. If Serena buys 2 rolls of paper towels and 2 boxes of diapers, how much change will she get from a 20-dollar bill?

Answers

Answer:

She would get $13 back.

Step-by-step explanation:

2 rolls: $1

A box of diapers: $3

She got 2 paper towels which she would get for a dollar.

2 boxes of diapers:

3 + 3 = 6

20 - 6 = 14

14 - 1 = 13

Feel free to let me know if you need more help! :)

Answer: She would get $13 back.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation below.
–2(bx - 5) = 16
The value of xin terms of b is
The value of x when bis 3 is

Answers

Answer:

If b is 3, x=-1

Step-by-step explanation:

-2(3x-5)=16

use distributive property

-6x+10=16

take 10 away from both sides

-6x=6

divide both sides by -6

x=-1

The value of x in terms of b is given by equation x = -3/b

The value of x when b = 3 , is x = -1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The given equation is:

-2(bx - 5) = 16

To solve for x in terms of b, we need to isolate x on one side of the equation. We can start by distributing the -2 on the left-hand side:

-2bx + 10 = 16

Next, we can subtract 10 from both sides:

-2bx = 6

Finally, we can divide both sides by -2b to solve for x:

x = -3/b

So the value of x in terms of b is -3/b.

To find the value of x when b is 3, we can substitute b = 3 into the equation we just found:

x = -3/b = -3/3 = -1

Hence , the equation is solved and when b is 3, the value of x is -1.

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Factor the quadratic by checking factor pairs.
-15x2 – 21x + 18
-15x2 – 218 + 19 = -3

Answers

Answer:

-3(x + 2)(5x - 3)

Step-by-step explanation:

-15x² – 21x + 18

-3(5x² + 7x - 6)

-3[5x² + 10x - 3x - 6]

-3[5x(x + 2) - 3(x + 2)]

-3(x + 2)(5x - 3)

Solve for x in the rectangle.



The solution is x= _ units.

The attachment is the rectangle

Answers

x=9 because area is length times width (5 times x) so you would divide 45 by 5 and get 9

Reflect

1. What If? If Alex had saved $333.34 a month for 3 months, how

much money would he have? If he had used his savings instead

of his credit card, how much less would his purchases have cost him?

2. How much less did Barry's loan, at an interest rate of 9%, cost than

Alex's loan at 21%?

Answers

Final answer:

Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan

Explanation:

If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.

For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.

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Alex would have saved $1,000.02 over 3 months. The cost of purchases would have been less if he used his savings instead of a credit card because of no interest rates applied. Barry's loan is $120 less expensive than Alex's loan

If Alex had saved $333.34 a month for 3 months, he would have saved $333.34 x 3 = $1,000.02. As for the cost of purchases using savings instead of a credit card, we can't directly answer that without knowing the associated credit card interest rate & the time duration. In general, using a credit card would have cost more due to the interest applied to the unpaid balance.

For the second part of your question related to loans, let's assume both Alex and Barry took out loans of $1,000 each for one year. Alex's loan, with an interest rate of 21%, would cost him $1000 x 21/100 = $210 in interest. Barry's loan, at an interest rate of 9%, would cost him $1000 x 9/100 = $90 in interest. Therefore, Barry's loan costs $210 - $90 = $120 less than Alex's loan.

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