Three integers sum to 57. The second integer is twice the first integer. The third integer is seven less than five times the first integer. What are the three integers?

Answers

Answer 1

Answer:

a=8

b=16

c=33

Step-by-step explanation:

Let's call the integers a, b, and c. (a is the first, b is the second, and c is the third.)

a+b+c=57

Write the second two sentences as equations.

b=2a

c=5a-7

Plug in these values of b and c to the original equation.

a+(2a)+(5a-7)=57

Solve for a:

a+2a+5a-7=57

8a-7=57

8a=64

a=8

Now, plug in your solution for a into the equations for b and c to solve for them.

b=2a=2(8)=16

c=5a-7=5(8)-7=40-7=33

You can add up your answers for a, b, and c to make sure you're correct.

a+b+c=8+16+33=57

I hope this helped!


Related Questions

Angles 1 and 2 are coresponding angles angle 1 is 3x+15 angle 2 is 4x-5 degrees.
what is the value of x

Answers

Answer:

10

Step-by-step explanation:

3x+15+4x-5=180

7x+10=180

7x=170

x=10

he perimeter of a rectangular field is 342m If the length of the field is 92m what is its width?

Answers

Answer:250

Step-by-step explanation:

342-92

Julie has a jewelry box shaped like a cube. The volume of the jewelry box is V cubic inches. Use this information to answer Questions 6 and 7. Write an expression that represents the edge length of Julie's jewelry box in inches.

Answers

Answer:

  s = ∛V

Step-by-step explanation:

The relationship between edge length (s) and volume (V) of cube is ...

  V = s³

Taking the cube root of both sides of this equation gives you an expression for the edge length:

  s = ∛V

_____

Additional comment

The units of s will be the cube root of the units of V. If V is in cubic inches, then s is in inches.

find the quotient. (2^4x+4) ÷ (2^x+1)

Answers

Answer:

(16x/2^x+1) + (4/2^x+1

Step-by-step explanation:

the parentheses are there so you know the two arent beside each other

June, Gavyn and Alex share some sweets in the ratio 5:3:2. June gets 42 more sweets than Alex. How many sweets does Gavyn get?

Answers

Answer:

42 sweets

Step-by-step explanation:

The ratios are 5 : 3 : 2 = 5x : 3x : 2x (x is a multiplier )

June gets 42 more sweets than Alex , then

5x = 2x + 42 ( subtract 2x from both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Gavyn = 3x = 3 × 14 = 42 sweets

Answer:

42 sweets.

Step-by-step explanation:

First work out the number of parts:

5 + 3 + 2 = 10.

So June gets 5/10 = 1/2 of the sweets.

Alex gets 2/10 = 1/5.

Gavyn gets 3/10.

If the total number of sweets was x, then:

1/2 x - 1/5 x = 42

5/10x - 2/10 x = 42

3/10 x = 42

x = 42*10/3 = 140.

So Gavyn has 3/10 * 140 = 42.

Find the volume of the sphere. **30 points**
Either enter an exact answer in terms of pi or with 3.14
Radius=8

Answers

Answer:

The volume of the sphere is 2,143.57

Step-by-step explanation:

The formula for finding the volume of the sphere is

V = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]

"r" represents the radius of the sphere. So put the value of it in the formula.

V = ([tex]\frac{4}{3}[/tex])(3.14)([tex]8^{3}[/tex])

V =  ([tex]\frac{4}{3}[/tex])(3.14)(512)

Multiply all of them and you will get:

2143.57333333 or 2,143.57 which is the volume of the sphere

Question 6: 17 pts
Identify the parent function for the function g(x) = x2 - 4 based on its function rule.
Then graph g and identify the transformation of the parent function that it
represents.
linear; translation up 4 units
quadratic; translation up 4 units
quadratic; translation down 4 units
O
linear; translation down 4 units

Answers

Answer:

Parent function is g(x) = x² a quadratic

Step-by-step explanation:

quadratic; translation down 4 units  

-4 means the vertex will move down 4

The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.

The given function is g(x)=x²-4.

What is the parent function?

A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function.

Quadratic; translation down 4 units:

The parent function of the quadratic family is f(x) = x2. A transformation of the graph of the parent function is represented by the function g(x) = a(x − h)² + k, where a ≠ 0.

The transformation of the parent function that represents translation down 4 units. Therefore, quadratic; translation down 4 units.

To learn more about the parent function visit:

https://brainly.com/question/17939507.

#SPJ2

I really need help on this please

Answers

Answer:

When you simplify you get 5/6. Hence both x can be removed and when divided by the exponents you get x cannot be equal to zero. The Answer is the second.

Step-by-step explanation:

Question 5 - Last night 20 mm of rain fell in 4 h. If it continues raining at the same rate, how
long will it take for 45 cm of rain to fall?

Answers

Answer:

Step-by-step explanation:

45 divided by two

A cooking pot holds 35 liters of water. This is 7 times the amount of water a mixing bowl can hold.

How much water can the mixing bowl hold?
A. 5 liters
B. 7 liters
C. 28 liters
D. 245 liters

Answers

Answer is A :) just simply divide 35 and 7 and you get 5!

answer .

5

explanation.

simple just 35 divide by 7

if 1 = 33 seconds how much would 1hour be?

Answers

it would be about 109 because since there is 3,600 seconds in a hour you would have to divide 3,600 by 33

Please answer right!

Answers

Answer:

Step-by-step explanation:

5x + 2 - 3x - 1 = 3x + 2

5x - 3x - 3x = - 2 + 1 + 2

5x - 6x = 1

-1x = 1

x = 1 / -1

x = -1

SHEET CAKES
--------------------------------------------
$36 Small (Feeds 12 people)
$46 Medium (Feeds 22 people)
$56 Large (Feeds 32 people)
--------------------------------------------

The new pastry chef at Jackson's Bakery specializes in Sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?

Answer: $2,245 (I know it for this one but not the next one)

How many people would all of the sheet cakes sold in problem 3 feed?

--------------------------------------------------------------------------------------------------------
(Dont need to tell me the answer just tell the steps I need to do)

Answers

Answer:

The chef sold 17 small sheet cakes. One small sheet cake can feed 12 people, so the small sheet cakes she sold can feed 17*12 people, which is 204 people. Do this for the medium and large sheet cakes as well, and add them up, and you'll get the answer.

Step-by-step explanation:

Hope this helps!

Answer:

1086

Step-by-step explanation:

1. 7x12= 204(small cakes)

2. 11x22=242(medium cakes)

3.20x32=640(large cakes)

4. add all of the products up

so: 204+242+640

= 1086

This should be correct.

For each​ equation, determine if y is a function of x. x+y=25

Answers

Answer: Yes

Step-by-step explanation: Depends on what x equals.

Malachi took cans to the recycling plant and put them into the can-crusher one at a time. After he had already crushed some of the cans, he started recording the number of cans he crushed per minute. This table shows how many cans Malachi put in the can-crusher at different times.


Time (min): 2 , 4 , 6 , 8
Number of cans crushed: 4 , 9 , 64 , 79 , 94

What is the equation that represents Malachi’s situation, where x represents the time and y represents the number of cans crushed?

Answers

Answer:

it is 793

Step-by-step explanation:

The difference between
five-halves of a number and 17 is 48

Answers

Answer:

31, the five halves of is 6.2

Step-by-step explanation:

Complete the equation so that it has one solution.
-2z+3-z=□-4z+2

Answers

answer...

Explanasion

Step-by-step explanation:

Step 1: switch sides and add up.

[tex] z + 1 - x = 0[/tex]

Step 2: switch sides for z is alone

[tex]z = x - 1[/tex]

Note: I used the blank space as x.

What temperature should I cook this

Answers

fish or while or you or ne or sex

Answer:

350

Step-by-step explanation:

you should cook it between 350-365

Evaluate N2 + 2N + 1 for N = 5.

51
36
21

Answers

Answer:

36

Step-by-step explanation:

N^2 + 2N + 1

Since we are given N = 5, we just substitute N for 5

(5)^2 + 2(5) + 1

25 + 10 + 1

36

Answer: 36

Step-by-step explanation:

5*5 + 5*2 +1 = 25 + 10 + 1 = 36

PLEASE ANSWER FAST TIMED TEST

Answers

Answer:

0.0000015

Step-by-step explanation:

GIVING 100 POINTS AND BRAINLIEST IF CORRECT! You recently upgraded your experience by buying an Controller for $74.99 and an Game Pass Subscription for $14.99 per month.

Answers

Answer:

Part A: It's linear because it increases at a constant rate of 14.99 dollars per month

Part B: C = 14.99M + 74.99 (y = 14.99x + 74.99)

Step-by-step explanation:

Part A: Every month, you have to pay the same amount.

1 month = 14.99

2 months = 14.99 + 14.99

3 months = 14.99 + 14.99 + 14.99

So, it's linear.

Part B: We have to use the formula y = mx + b, or slope-intercept form, to represent the total cost per month.

m = slope,   b = y-intercept (initial value)

Let's have the total cost  be represented as C

Let's also have the subscription per month be represented as M

So, C would = 74.99, because we only need to pay for a controller once

But we also our subsription per month, M, as 14.99.

So our final answer would be C = 14.99M + 74.99, or y = 14.99M + 74.99 if you can't make your own variables

I wanted to get more indepth. Try adding this to notes! <3

PLEASE HELP! Economics

Answers

Answer:

B

Step-by-step explanation:

hope it helps, and im finding another question

Answer:

B. a German citizen

Step-by-step explanation:

I think I'm not sure.

72 boxes out of 90 sold what percentage sold

Answers

Answer:

is what is the math thing at you need help with huh

Someone please help me

Answers

Answer:

,

Step-by-step explanation:

all work shown and pictured

Please answer this question no links please

Answers

Answer:

first I need to know what your question is to be able to answer this question sorry

Answer:

Ummm what is the question?

Step-by-step explanation:

Math is really difficult for my smooth brain

Answers

Answer:

77

try to multiply the 0.85 so u can find a suitable number for the dividend.

A circle of 5 cm radius is drawn, and another circle 3 cm radius is drawn. What is the radius of a circle that has the same area as the bigger one excluding the cut one?
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm

Answers

Answer:

4 cm

Step-by-step explanation:

The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,834 and Lantana High school raised $4132. about how much more do they need to raise? Choose the best estimate.


1. 500
2. 2,000
3. 3000
4. they already raised enough money.

Answers

Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.

Step-by-step explanation:

You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!

I really hope that helps.

Fdgbfrgrth Rheu Hyueheuhuhuhuheeuhuhuhe

Answers

Shajananbe be bf NBC Judah’s

Give the digits in the hundred thousands place and the ten thousands place.
746,089

Answers

Answer:

Hundred thousands - 7

Ten Thousands- 4

Step-by-step explanation:

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