Solve the following word problems using a system of equations. The sum of two numbers is 36. One number is two more than the other. Find the numbers.​

Answers

Answer 1

Answer:

24,12

Step-by-step explanation:

suppose,

x+y=36

x=2y

2y+y=36

y=12

x=24


Related Questions

Leah would like to earn at least $120 per month. She babysits for $5 an hour and works at an ice cream shop for $10 per hour. Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop.

Answers

This question is incomplete

Complete Question

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $10 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y

represent the number of hours Leah works at the ice cream shop.

Answer:

The inequalities to solve this question is given as:

x + y ≤ 20

5x + 10y ≥ 120

Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120

Step-by-step explanation:

Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop. Leah cannot work more than a total of 20 hours per month.

Hence:

x + y ≤ 20 ...... Equation 1

Leah would like to earn at least $120 per month.

She babysits for $5 an hour and works at an ice cream shop for $10 per hour.

Hence, out Equation is given as:

x × $5 + y × $10 = $120

5x + 10y ≥ 120..... Equation 2

The inequalities to solve this question is given as:

x + y ≤ 20

5x + 10y ≥ 120

To find x and y:

x + y = 20

x = 20 - y

5x + 10y = 120

Substitute: 20 - y for x

5(20 - y) + 10y = 120

100 - 5y + 10y = 120

Collect like terms

- 5y + 10y = 120 - 100

5y = 20

y = 20/5

y = 4 hours

Note:

x = 20 - y

x = 20 - 4

x = 16 hours

Hence:

Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120

literally putting this at 45 points. can someone help me please

Answers

Answer:

15.4%

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Container A

r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ft

Container B

r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²

After pump out the container A has the level of:

1100π - 931π = 169π

Level % in the container A:

169π/1100π×100% = 15.4% rounded to the nearest tenth

PLEASE help it's timed!! :)

Answers

Answer:

The answer is 5

shdhejrjejsn when heuejwkwudheje

A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.

Answers

Step-by-step explanation:

radius

(2,2)-(1,-3)=(1,5)

radius= 5.09 units

y+1/y-1 = 2y+3/2y+5 simplify​

Answers

Answer: y=0.6 I think (try checking with other answers first)

Hope this helps a little and good luck :)

Step-by-step explanation:

helooooooooooooooooooooooooooo

Answers

Answer:

you are asking what dont understand

Step-by-step explanation:

If f(x) = 4x and g(x) = x^3, then what is f(g(x))?
a. 4x+x^3
b. 4x^4
c. 4x^3
d. (4x)^3

Answers

Answer:

f(g(x)) = 4x³

Hence, option C is true.

Step-by-step explanation:

Given

[tex]f(x) = 4x[/tex][tex]g\left(x\right)\:=\:x^3[/tex]

Determine:

f(g(x)) = ?

solving the f(g(x))

f(g(x)) = f(x³)

         = 4x³

Therefore,

f(g(x)) = 4x³

Hence, option C is true.

Let x=
-
11
8
and y=
11
4
0
Which expression has a negative value?
Copyright 2017 Open Up Resources
Select one
OA. x+y
OB. xy
OC. x.y
OD. x/y

Answers

Answer:

OD. x/y

Step-by-step explanation:

eighteen 2.5- gallon buckets are needed to fill a cistern of water

How many 3-gallon buckets of water will fill the cistern.

Answers

Answer:

15 3-gallon buckets of water will fill the cistern

Step-by-step explanation:

Eighteen 2.5- gallon buckets are needed to fill a cistern of water

This means, 2.5 gallon buckets in 18 places

2.5 gallons × 18 = 1 cistern of water

45 gallons = 1 cistern of water

How many 3-gallon buckets of water will fill the cistern.

Number of 3-gallon bucket in a cistern = Total gallons of bucket in one cistern / 3-gallon buckets

= 45 gallons / 3-gallon buckets

= 15

Number of 3-gallon bucket in a cistern = 15

15 3-gallon buckets of water will fill the cistern

What is the value of q?
S
415
2/14
S
2015
ין
R
4
64,5
T
10

Answers

Answer:

[tex]2 \sqrt{14} [/tex]

SOLVE AND SHOW WORK PLSSSS!! Find the length of the missing sides. Do not round (leave in simplified radical form).

Answers

Answer:

For the first triangle the missing sides are 7 and 7√2 For the second triangle,the missing sides are 13√3 and 13

Step-by-step explanation:

For the first triangle,

cos(45°)=7/hypotenuse

hypotenuse×cos45=7

hypotenuse×√2/2=7

hypotenuse=14/√2=7√2

We can now find the adjacent side using Pythagorean theorem,

√(7√2)²-7²=7

For the second triangle,

cos(30°)=adjacent/hypotenuse

but cos 30=√3/2

√3/2=adjacent/26(cross multiply and simplify)

26√3/2=13√3

To find the opposite length,

√(26)²-(13√3)²=13

please help asap ill give brainliest if youre correct!!!

Answers

Answer: its B

Step-by-step explanation: i've done this test before

Answer:

the answer is b

Step-by-step explanation:

because i have done this question before

EASY MATH PROBLEM!
Please help me! Will mark brainliest for sure!

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

Use the formula for |A| <= B which is: -B <= A <= B

For this example you would do:

1. Insert the numbers into the formula: -6 <= 2x - 8 <= 6

2. first do the math for -6 <= 2x-8 which is 1 <= x

3. then do the math for 2x - 8 <= 6 which is x <= 7

4. Put that together and you get 1 <= x <= 7

Good luck on the other questions!

John took a quiz there are 25 questions, I got a 76% how many did John get right and how many did he get wrong

Answers

Answer:

6 wrong.

Step-by-step explanation:

25 questions  76% 25*0.76=19 so he got 6 wrong.

Hope this helps plz hit the crown :D

Answer:

he got 19 correct and 6 incorrect

Step-by-step explanation:

Select the locations on the number line to plot the points 9/2 and −7/2.

Answers

Answer:To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).

Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.

4 1/2 would plotted on the line exactly in between the 4 and 5.

-3 1/2 would be plotted on the line exactly halfway between -3 and -4.

You will draw a dot to show each of these positions on a number line.

Step-by-step explanation:

hope it helps

There are 16 forwards and 40 guards in Leo's basketball league. Leo must include all players on a team and wants each team to have the same number of guards. If Leo creates the greatest number of teams possible, how many guards will be on each team?

Answers

List the multiples of each number:

16:  1, 2 , 4, 8 , 16

40: 1, 2 , 4 , 5, 8, 10, 20, 40

The greatest common multiple is 8

40 guards / 8 = 5

There will be 5 guards on each team.

Hahahahaha umm I need help thankKss

Answers

Answer:

1

Step-by-step explanation:

ill mark brainliest if correct so please help​

Answers

Answer:

wait do we solve it or is there answer choices??

HELPPP ASAP WILL MARK BRAINILEST

Answers

Andy is correct! Andy has the function 4, his leading coefficient is negative, and his functions contains zeros. Hope this helps!

Luis distributes 49 roses equally among seven friends then three of his friends combined the roses they received to make a bouquet how many roses are in this bouquet there are blank roses in this bouquet

Answers

Answer:

The are 21 roses in the bouquet

Step-by-step explanation:

Since the 49 roses are distributed evenly amongst the 7, then what each of the seven will get would be 49/7 = 7 roses

So 3 of the friends combine every of theirs to make a bouquet

The number of roses in the bouquet will be 7 + 7 + 7 = 21 roses

At the beginning of a laboratory experiment, the temperature of a substance is -12.6 °C. During the experiment, the temperature of the substance decreases 7.5 °C. What is the final temperature of the substance?
!!!!SHOW YOUR WORK!!!!

Answers

Answer

20.1°C

Step-by-step explanation:

-12.6 °C - 7.5 °C =-20.1°C

Answer:

the initial temperature= -12.6⁰c

change in temperature= 7.5⁰c

the final velocity = x

-12.6-7.5=x

-20.1=x

so therefore the final temperature is -20.1

What is the slope of the line that passes through the points (-10, –4) and (10, -29)? Write your answer in simplest form. Answer: Submit Answer undefined attempt i out of​

Answers

Answer:

-5/4

Step-by-step explanation:

please help!!!! im really confused and no one is answering my questions

Answers

Answer:

x = 3.464 ft.

Step-by-step explanation:

To find x we use the trigonometric identity Sine.

[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Answers

Answer:   B) 3

Explanation:

Start at a point like (0,2) which is on the blue f(x) line.

Move upward until you reach the red g(x) line. You should move up 3 units. Every point on f(x) follows the same pattern to land on a corresponding point on g(x). Therefore, this moves the entire blue line up 3 units.

This leads to k = 3

So g(x) = f(x) + 3

Answer: 3

Step-by-step explanation: This is because I took the test and because if you look at the graph its on 5 and 2. An easy way to look at it is what is 5-2 but you'd have to figure out what the answer was first. Between 5 and 2 is 3. Hope this helped!

Determine the output if the function rule is

2x+5 : input = 5

Answers

Answer:

2x

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The input is 5 , the output is the value of 2x + 5 for x = 5 ( input ), that is

output = 2(5) + 5 = 10 + 5 = 15

Compared to last year, the population of boom town has increased by 24%. The population is now 6,600. What was the population last year?

Answers

Answer:

1,584

Step-by-step explanation:

6,600 multiplied by 24%(or 0.24) is 1,584

12) It takes Kendra 12 minutes to drive 6 1/3 kilometers. How many kilometers does Kendra drive per minute? SHOW YOUR WORK. A) 2 B)19/36 C)1/6 D) 2 1/3​

Answers

Answer:

36/19

Step-by-step explanation:

So to find this answer you have to divide 12 by 6 1/3. To figure that out I first turned 6 1/3 into an improper fraction (19/3) and then I put 12 over 1. To divide a fraction you have to multiply the dividend by the divisors reciprocal in this case 12/1 x 3/19 which equals 36/19 or 1 and 17/19

Hope this helps lol :D

please show work

8) 3n+1 +8n2 – 8n – 7

9. given the function: f(x) =3x-7, find f(-2)

Answers

Answer:

D and A

Step-by-step explanation:

8. 1+8n^2-5n-7

8n^2-5n-6

9. -6-7

-13

HELP THIS IS TIMED
2/11z-5/11z+4-1/11z-8
simplify plssss i can give reward

Answers

Answer:

-145/88z+4

Step-by-step explanation:

Answer: -4/11z - 4

Step-by-step explanation: We can combine like terms to simplify the expression 2/11z - 5/11z + 4 - 1/11z - 8. The terms 2/11z, -5/11z, and -1/11z are like terms because they all have the same variable part z. When we add them together, we get (2 - 5 - 1)/11z = -4/11z. The constants 4 and -8 are also like terms. When we add them together, we get 4 + (-8) = -4. So the simplified expression is -4/11z - 4.

help for brainliest plsssssssssssssss

Answers

Answer:

There will be 416 students in each group.

Step-by-step explanation:

There are 1,248 students.  There are also 3 groups: radical readers, mathematicians, and super scientists.  To find the number of people in each group, divide the total students by the number groups, which would be 1,248 divided by 3.

416 students would be in each group
answer : 416
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