The sum of two positive integers is 12. When the smaller integer is subtracted from five times the larger, the result is 36. Find the two integers.

Answers

Answer 1

Answer:

The smaller integer is 4 and larger integer is 8 .

Step-by-step explanation:

First we have to form own variables and expression. So we let the smaller integer be x and the larger integer be y. Next using the information given to form expressions :

[tex]x + y = 12 \\ 5y - x = 36[/tex]

Lastly, we can solve the simultaneous equation using Elimination :

[tex]x + y = 12 - - - (1)[/tex]

[tex] - x + 5y = 36 - - - (2)[/tex]

[tex](1) + (2)[/tex]

[tex]x + ( - x) + y + 5y = 12 + 36[/tex]

[tex]6y = 48[/tex]

[tex]y = 8[/tex]

[tex]sub \: y = 8 \: into \: (1)[/tex]

[tex]x + 8 = 12[/tex]

[tex]x = 4[/tex]


Related Questions

what is the measurement of this angle

Answers

Answer:

28°

Step-by-step explanation:

62° + 90° = 152°

180° - 152° = 28°

Stay safe and have a wonderful day! Peace!✌

So the answer is 28 degree.

Look at the attached picture

Hope it will help you..

can someone please help me with this​

Answers

Answer:

Not Sure

Step-by-step explanation: I dont know the anwser but I can try to help, all I know is the the measure of angle EDF is supplementery to angle EDG so I hope that helps. In other words, 180-21x+5 = measure of angle EDF.

Find the volume of the cylinder to the nearest tenth. Use 3.14 for it.
6 m
15 m
The volume of the cylinder is approximately
m​

Answers

Answer:

1696.46

Step-by-step explanation:

the formula of a cylinder volume is πr2h. Which is 3.14 x 6squared x 15. And then you'll have the volume.

Are the following triangles congruent?
A) SAS
B) ASA
C) SSS
D) NOT

Answers

the answer is
A) SAS

What is the solution to the system of equations below? y = negative three-fourths x + 3 and y = –12

Answers

Answer:

10

Step-by-step explanation:

The answer would be 10

Each food item contributed to the local food bank is recorded as a positive number, while each food item donated to a family is recorded as a negative number. The food bank started with 508 items. How many items were on the shelves after the following contributions and donations?

-8, -29, +17, -12, -9

Answers

Answer:

467

Step-by-step explanation:

-8-29+17-12-9= -41

508-41= 467

Whats the area of a square that is 9m and 9m?

Answers

Answer:

81 m².

Step-by-step explanation:

To find the area of a square, you will simply need to do the side-length squared, or [tex]A= l^{2}[/tex].

If the side-length is 9, we can do:

A = 9²

A = 81 m²

Step-by-step explanation:

Step 1:  Find the area

An area of a square has a formula of → [tex]A= s^2[/tex]

[tex]A = 9 * 9[/tex]

[tex]A = 81[/tex]

Answer:  [tex]Area=81m^2[/tex]

At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. Use complete sentences to describe the dependent and independent variables in this situation

Answers

Answer:

The independent variable is the large cheese pizza because it doesn't need the toppings, the dependent variable is the additional toppings because they can't go anywhere without the large cheese pizza.

Step-by-step explanation:

Write a word problem with dollars and cents that can be solved using subtraction. Include the solution.

Answers

Jim have a dollar in 20 cent in his pocket and takes out a dollar how much he have left in his pocket answer- 20 cent

Answer:

If Sarah has $300, and she buys a library card for $9.50 and is charged $3.50 per month. If she goes to the library for 9 months, how much does does she have left?

Step-by-step explanation:

$276

A linear system is classified as inconsistent. Choose True or False for the statement about the graph of the system.The slopes of the lines are the same.

Answers

Answer: true

Step-by-step explanation:

A system of linear equations can be written as:

y = a*x + c

y = d*x + f

Now, the idea of this is find the point (x, y) where both linear equations meet.

Particularlly, if the slope in both equations is the same, we will have two options:

1) The lines are parallel, so they never met, and the system has no solution.

2) The lines are the same lines (this happens when c = f) and this means that we have infinite solutions.

So it is true, if the slopes are the same, the linear system is not consisten.

Find the area of the parallelogram.
base is 7 cm
slant height is 9 cm
side is 12 cm

Answers

Answer:

The area is 63 cm

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

A point B(−4,4) is rotated 90° clockwise about the origin. FInd the coordinates after rotation.

Answers

Answer:

It would be positive(4,4)

Step-by-step explanation:

hope it helps

(4,4)

since your moving 90 degrees to the next x-axis (i think)

Write the equation 3x+2y- 5 = 0 in normal form. Then, find the length of the normal and the angle it makes with the


positive x axis.

Answers

Hey, hope you are having a nice day. The answer I got was y=-1.5x+2.5. This was because most equations are y=mx+b. So y had to be by itself.
3x+2y-5=0
-2y. -2y
3x-5=-2y since 0 doesn’t do anything
——- ——
-2. -2
-1.5 +2.5 =y

Answer:

The answer is a

Step-by-step explanation:

help question is in attachment

Answers

Answer:

50

Step-by-step explanation:

90-40 = 50

Answer:

As the angles are complementary, their sum is 90

x + 40 = 90

x = 50

Jorge PAGO DE CONTADO $200 000 POR UN AUTOMÓVIL. SI ORIGINALMENTE COSTABA $250 000 ¿Qué PORCENTAJE DE DESCUENTO LE HICIERON ?

Answers

Answer:

20%

Step-by-step explanation:

$(200 000/ 250 000) = .8 = 80%, seguís pagando 80% entonces distes un descuento de 20% (100-80=20%)

I need help with this math question :(

Answers

Answer:

k = 5,

y = 5x

Step-by-step explanation:

If y is proportional to x,

y ∝ x

Then the equation will be

y = kx

Her k = proportionality constant.

Now we choose a point from the given table.

Let the point is (2, 10).

By putting the values of x and y in the equation,

10 = 2×k

k = [tex]\frac{10}{2}[/tex]

k = 5

This will be true for any point we choose from the table.

And the equation will be y = 5x

Martin made 12 out of 40 shots during the basketball game. What percent of his shots did he make?

Answers

Answer:

30 percent

Step-by-step explanation:

12/40=0.3

0.3=30 percent

Answer:

30%

Step-by-step explanation:

To find a percent, use this equation:

x/100 = n/t

where x is the percent, n is the select number of things, and t is the total number of things

Substitute:

x/100 = n/t

x/100 = number of shots Marin made/number of shots attempted

x/100 = 12/40

Now, we need to cross multiply, or multiply the numerators by the denominators of the other fraction, and vice versa.

Multiply:

x/100 = 12/40

x(40) = 40x

100(12) = 1200

40x = 1200

Now, divide both sides of the equation to find the value of x.

Divide:

40x = 1200

/40     /40

x = 30

Now we have the percent is fraction form: 30/100

To make it a percentage, simply take the numerator and add the % sign.

Therefore, Martin made 30% of his shots.

The graph of f(x)=(x-4)^2+k is shown below. identify the value of k.

K=?​

Answers

Answer:

k = 1

Step-by-step explanation:

k is the value that will shift the graph up or down. In comparison with the parent function, this graph is 1 unit higher there for k is equal to 1.

Please mark me as brainliest is this helped you. Thank you!

Which equation goes to the graph?

Answers

Nana andbsbsbbbvbnsn hshsbnams

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains
80
%

pure antifreeze. The company wants to obtain
320

gallons of a mixture that contains
55
%

pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

Answer:

let w = amt of water required

:

An equation based on the the percent water, an 80% solution is 20% water.

 

.20(320-w) + w = .50(320)

64 - .2w + w = 160

.8w = 160 - 64

w = 96%2F.8

w = 120 gal of water to produce 320 gal of 50% antifreeze

:

320 - 120 = 200 gal of 80% solution

Water: _120___ gallons

Premium Antifreeze: __200___ gallons

Step-by-step explanation:

Given that A = (9,9,2), B = (1,3,5) and C = (5,6,4), find the vector equation of the line through A and B.
a.r=(8,6,-3)+t(9,9,2)
b.r=(9,9,2)+t(-8,-6,3)
c.r=(9,9,2)-t(-8,6,-3)
d.r=(9,9,2)-t(8,-6,3)

Answers

Answer:

It's not C

Step-by-step explanation:

Sorry bud I tried to help you out but i guessed wrong on my test, atleast its not C though:)

Answer:

The answer is B.r=(9,9,2)+t(-8,-6,3)

Step-by-step explanation:

Got it right on the quiz on Edge.

Stay Safe

Find the interest on $4,500 at 5.2% for 2 and a half years. Which of the following equations would be used to solve this problem?
Please help!

A: 4500 = P(0.052)(2.5)

B: I = (4500)(5.2)(2.5)

C: I = (4500)(0.052)(2.5)

D: I = (4500)(0.52)(2.5)

Answers

The answer is C: 1=(4500)(0.052

The equations used to solve this problem is I = (4500)(0.052)(2.5).

The correct option is (C).

What is Interest?

Simple interest is a loan interest payment that borrowers pay to lenders. It is based solely on the principal and does not account for compounding interest. Straightforward interest is not limited to certain loans. It is also the form of interest that banks pay on savings accounts.

Given:

P = $4500

R= 5.2%

Time= 2 and half year

Using the formula of Simple Interest

= P x R x T / 100

= (4500 x 5.2 x 2.5)/ 100

= (4500 x 0.052 x 2.5)

= $585

So, the equation is: : I = (4500)(0.052)(2.5)

Learn more about Interest here:

https://brainly.com/question/30393144

#SPJ3

Select the best answer for the question.
15. What is the total of 49 1/4+3 3/8?
A. 4578
B. 52 1/2
C. 4518
D.5258
O Mark for review (Will be highlighted on
the review page)

Answers

So the right answer is 421/8

Look at the attached picture

Hope it will help you..

Answer:

[tex] \frac{421}{8} [/tex]

Step-by-step explanation:

[tex]49 \frac{1}{4} + 3 \frac{3}{8} \\ \frac{197 \times 2+ 27}{32} \\ \frac{394 + 27}{8} \\ = \frac{421}{8} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

There are 15 boys and 13 girls in Mr. Garcia's class. What is the ratio of girls to boys?

Answers

Answer:

13:15

Step-by-step explanation:

Answer:

3/20

If there are 15 boys and 10 girls, then there are 25 students in total.  The probability of choosing a girl immediately would be .  There would then be one less girl and one less person, so the chance of choosing another girl would be .  We multiply these to get .                                                          

hope this helps =)

Given sec A =
✓97/9
and that angle A is in Quadrant I, find the exact value of tan A
in simplest radical form using a rational denominator.

Answers

Answer: 4/9

Step-by-step explanation:

9^2+B^2= 97

81+b^2=97

b^2=16

B=4

opposite=4

adj=9

tan= opposite/adj = 4/9

-7x = 42

I need an answer

Answers

Look at the attached picture

Hope it will help you

Answer:

[tex]x = - 6[/tex]

Step-by-step explanation:

[tex] - 7x = 42 \\ \frac{ - 7x}{7} = \frac{42}{ - 7} \\ x = - 6[/tex]

Solve by completing the square with working out please

x^2-7x-30=0

Answers

Answer:

x1 = -3 and x2 = 10

Step-by-step explanation:

hope this helps

Answer:

answer attached below

Step-by-step explanation:

Select the correct Answer from the drop-down menu

Consider the equation (x^m)^3 = (x^13)^5 x (x-8) ^-5

The value of m is ___

A. 15

B. 28

C. 35

D. 70

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

30 people with eczema were studied to determine the cause of their eczema. The study determined that 15 of the people had a close family member who had also experienced
eczema similar to their own. Determine the fraction of people who have a family history of eczema. Write your answer as a reduced fraction.

Answers

Answer:

When simplified your answer is 1/2

Step-by-step explanation:

Their 30 people as a total

15 people have it through family so 15/30 then when simplify your divided both by 15 and get one half

if Mandy Rose the cube 1000 times about how many times can she expect to roll an even number​

Answers

Answer: 500 times

Step-by-step explanation: There are the same amount of even numbers that there are odd numbers, so just 50% of 1000

Hope this helps :)

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