Three numbers add up to 210. The second number is 10 more than the first and the third number is 3 times the first. Find the numbers by modelling the problem using an algebraic equation.

Answers

Answer 1

Answer:

I. First number, a = 40.

II. Second number, b = 50.

III. Third number, c = 120.

Step-by-step explanation:

Let the three numbers be a, b and c respectively.

Given the following data;

Translating the word problem into an algebraic equation, we have;

a + b + c = 210

b = a + 10

c = 3a

Substituting the value of b and c into the equation, we have;

a + a + 10 + 3a = 210

5a + 10 = 210

5a = 210 - 10

5a = 200

a = 200/5

a = 40

To find the value of b;

b = a + 10

b = 40 + 10

b = 50

To find c

c = 3a

c = 3*40

c = 120


Related Questions

help me please - i'll give you 10 points.

Answers

Answer:

a.

Step-by-step explanation:

this is a y = mx + b equation

the “B” is the y-intercept. So look where the line crosses the 6 axis. The equation says -1. Right away, there are only two answers that could possibly be it. A and B. The Lines both cross at -1 on the y-axis.

the ”mx“ part of the equation is the slope. Slope is the change in y over the Change in x.

in other words:

y1-y2

———

x1-x2

another thing is that slope in this equation is negative. This means the line is decreasing or going/pointing down. The only possible answer is a.

Answer is a.
Don’t really know how to explain it

I’ll give you bee syrup and brainliest if you help

Answers

Answer:

61.27 cm

Step-by-step explanation:

(3.14)(11)(0.5) = 17.27

2+2+20+9+11+17.27 = 61.27

Sue claims that the solution to the equation 12x-3(5+4x)=7x+20 is x =-5 she shows the steps below to justify her solution

Answers

Answer:

Sue is correct and I did the steps below.

Step-by-step explanation:

12x-3(5+4x)=7x+20

12x-15-12x=7x+20

-15=7x+20

-35=7x

-5=7

y=−2x+4 missing value ( - , -2)

30 points

Answers

Answer: Y=4

Step-by-step explanation:

Answer:

The missing value is 3.

Step-by-step explanation:

I plugged in -2 as y.

-2 = -2x+4

-2 -4 = -2x -4

-6 = -2x

-6/-2 = -2x/-2

3 = x

So the point is (3, -2)

Correct answer will get brainliest.

Answers

Answso as to progress gradually and carefully from one stage to the next.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

x+23=2x+10

Then you need to have the x's on one side and the whole number on the other

x=13

Alfred has a lawn service. He earns $40 for every 3 lawns he mows. Which of the following
represents the rate of change his income with respect to the number of lawns he mows?
$50
4 lawns
$53.33
4 laws
4 laws
$50
4 laws
$53.33

Answers

Answer: I don’t think I’m right but 53.33

Step-by-step explanation:

can you help me solve the linear equation algebraically y=-x-3. y=-2x-8​

Answers

Answer:

I can't it's to hard try studying

Answer:
x=-5
y=2

Explanation:
Since both of these equations are equal to y, they have to be equal to each other. Set them equal to each other like this: -x-3= -2x-8. Multiply everything by negative 1 to get rid of the negative signs. The equation will look like this: x+3= 2x+8. Than subtract the x from both sides. Than subtract 8 from both sides. That should get you to x=-5. Than plug in -5 into the x value for one of the linear equations. It will get you 2 for the y.

Fill in the blanks with NUMERICAL ANSWERS ONLY. Round all decimals to the nearest hundredth.

Find the hemisphere’s diameter if its radius is 6 cm.
centimeters

Find the hemisphere’s diameter if its radius is 9.008 ft.
feet

Find the hemisphere’s radius if its diameter is 6 cm.
centimeters

Find the hemisphere’s radius if its diameter is 9.008 ft.

Answers

Answer:

wdym

Step-by-step explanation:

What's do you think that is delaying the development of African countries?​

Answers

Answer:

Poverty in Africa is caused by corruption and poor governance, poor land utilisation and land tenure system, civil wars and unending political conflicts, poor infrastructure, diseases and poor health facilities, the World Bank and IMF policies, among others.

which number line shows the solution to the inequality? y-2 > -5

Answers

Answer:

Step-by-step explanation:

It's C.

The measure of angle STV is 85 degrees. what is the measure of angle STU

PLEASE HELPPP

Answers

I don’t know if this is correct but I think it’s 80. Tell me if I’m wrong or not . Hope this can help you

The measure of angle STU is equal to 79 degrees.

We have given that,

The measure of angle STV is 85 degrees.

We have to determine the measure of angle STU.

We have given that the angle STV is 85 degrees and if we rotated it backward 6 degrees the It makes the angle is STU.

What is the angle?

an angle can be defined as the figure formed by two rays meeting at a common endpoint.

Therefore,The angle STV is the angle STV-6degrees.

Therefore we get,

STU=STV-6

STU=85-6

STU=79

To learn more about the angle visit:

https://brainly.com/question/25770607

#SPJ2

this will help me a lot if you anwser this

Answers

I think the answer may be B but I don’t really know

Is this person right if he is can u tell me the coordinates?

y=6x+34
plz give me a good answer

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

please help me. find m<4

Answers

Answer:

m < 38

Step-by-step explanation:

122

20 +

142

180-

142

m < 38

I need help with Geometry

Answers

I think the correct answer would be B

you need 3 sticks of butter for every 24 cookies you bake how many sticks of butter do you need for 16 cookies

Answers

Answer: 2

Step-by-step explanation:

24 divided by 3 is 8 so 1 stick of butter makes 8 cookies so 2 sticks of butter make 16 cookies(2 x 8)

Answer:

2 sticks of butter

Step-by-step explanation:

First, let's figure out how many cookies you can make with one stick of butter. So, we can divide 3 by 3 and 24 by 3...

[tex]\frac{3}{3} = 1\[/tex]

[tex]\frac{24}{3} = 8[/tex]

Now that we know that 1 stick of butter makes 8 cookies, we can multiply the amount of cookies till it becomes 16...

8×? = 16

We could rewrite this equation as division...

16÷8 = 2 sticks of butter

Now we know that we need 2 sticks of butter for 16 cookies...

Hope this Helps!!!

PLEASE ANSWER QUICK, WILL GIVE 30 POINTS OR BRAINLEST

Answers

Answer:

D

Step-by-step explanation:

checking point when x is 2 y is 4 so it worked.

Answer:

D

Step-by-step explanation:

Multiply your x axis and y axis

Mark for brainliest!!!!!! ​

Answers

Answer:

the answer is c

Step-by-step explanation:

Answer:

C. 94°

Step-by-step explanation:

The three angles form a straight line: LMN, NMP and OMP

Givenm∠LMN = 43∠NMP ≅ ∠LMNm∠NMP = ?Solution

Angle addition postulate:

m∠LMO = m∠LMN + m∠NMP + m∠OMP180° = 43° + m∠NMP + 43°m∠NMP = 180° - 86°m∠NMP = 94°

Correct option is C

Find the 10th term 1.2.4.8.

Answers

Answer:

512

Step-by-step explanation:

1+1 = 2

2+2 = 4

4+4 = 8

8+8 = 16

16+16 = 32

32+32 = 64

64+64 = 128

128+128 = 256

256+256 = 512

they add the answer by itself. hope this helps

The regular price for a pair of jeans is $36. the sale price is 45% off the regular price. What is the sale price of jeans?

Answers

Answer:

16.2

Step-by-step explanation:

Change the 45% into 0.45 and then multiply it by 36.

Find the value of x in the equation below 5= x/6

Answers

Answer:

x=30

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

To find the value of x in an equation, our goal is always to isolate it so that it's on one side of the equal sign while everything else is on the other. We can do this by performing inverse operations to cancel values out (for example, the inverse operation of addition is subtraction and the inverse operation of division is multiplication).

5=x/6

Because x is being divided by 6, we multiply both sides by 6 to cancel it out on the side with x.

5×6=(x/6)×6

5×6=x

30=x

I hope this helps!

4 7/14 - 9/14 (simplify it)

Answers

The answer to this question is 3 5/7

The answer is 3 5/7 hope this helps

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PLSSSS SHOWWW THE WORKKK!!!!

Answers

Answer: y^2/x

Step-by-step explanation:

Find the product (4x - 3y)3

Answers

Answer:

12x - 9y

Step-by-step explanation:

According to the distributive property:

3(4x - 3y) =

3*4x - 3*3y =

12x - 9y

Answer:

12x - 9y you can't subtract different variables so multiply by them both by the left over constant and get the expression of 12x - 9y

Step-by-step explanation:

jared has mowed 2/5 of the yard abby says that jason has mowed 4/6 of the yard is abby correct explain

Answers

Answer:

No, she is not correct

Step-by-step explanation:

[tex]\frac{2}{5} \neq \frac{4}{6}[/tex]

[tex]\frac{2}{5} = \frac{4}{10}[/tex]

Write the equation of the line 1x + 3y = 6 in y = mx + b form.

Answers

Answer:

y = -1/3x + 2

Step-by-step explanation:

1x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

[tex]y=-\frac{x}{3}+2[/tex]

Step-by-step explanation:

1x + 3y = 6

We want the y to be isolated, so we subtract x from both sides,

3y = 6 - x

Now we divide everything by 3, to isolate y

[tex]y=-\frac{x}{3}+2[/tex]

How long does it take the 07:10 train from Norwich to arrive at Colchester 8:12

Answers

It would take the train 1 hour and 2 minutes to get to Colchester. Hope this helps.

I don't have time pls help pls pls pls pls

Evaluate the expression for x = 9.


–7x =

Answers

-7x
-7(9)
The answer is -63

Given a 17-sided polygon, what is the sum of the measures of the exterior angles?

Answers

Answer:

360 degree

Step-by-step explanation:

A seventeen sided polygon or a 17 sided polygon the rule is same that the sum of the measures of the exterior angles is 360.

Which of the following relations is not a function?

{(0, 0), (1, 0), (2, 0)}
{(1, 2), (3, -5), (-1, 7)}
{(7, -1), (3, -2), (5, -2)}
{(-1, 3), (4, 2), (-1, 5)}

Answers

Answer:

Is: {(-1,3), (4, 2), (-1, 5)}

Step-by-step explanation:

Because the domain have 2 numbers are the same which is (-1) so that's not a function

Answer:

The answer is the last one (-1,3), (4,2), (-1,5) Hope this helps!

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