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

Marcus works at an ice cream shop. He earns $10.50 each hour. Use Marcus’s timesheet for the week to answer the questions.



Date

Time In

Time Out

April 11

8:45

12:00

April 12

9:00

12:00

April 13

7:30

12:00

April 14

8:00

1:15

April 15

8:30

11:15





How many hours did Marcus work for the week?





How much money did Marcus earn for the week?




Marcus was offered a position which pays a salary of $150 every week and a 25 cent commission for each ice cream cone he sells. Marcus sells an average of 128 ice cream cones each week. How much will Marcus make in

the new position? Compare this to how much he made for a week at his current job. Should he take the new position? Why or why not?

Answers

Answer: he worked 31 hours and he earned $317.75

hope this helps :) and if it doesn’t I’m rlly sorry

Find the solution of this system of equations.
Separate the x- and y-values with a comma.
X + 2y = 8
x - y = 2

Answers

Answer:

Step-by-step explanation:

x + 2y = 8

x - y = 2

x + 2y = 8

-x + y = -2

3y = 6

y = 2

x - 2 = 2

x = 4

(4, 2)

Some one please help someone good at geometry because I’m failing :( plz makes sure it’s right

Answers

Answer:

7

Step-by-step explanation:


Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4). Choose the statement that is true concerning these two values.

Answers

Answer: D

Step-by-step explanation:

Fill in the x's with -2 for the first time to get one answer then go back and fill in 4 for the second answer.

g(-2)= 10

g(4)=-8

Proving g(-2) is greater than g(4).

what is 3/8 x 4/5 plzzzzz help

Answers

Answer:3/10 or 0.3

Step-by-step explanation:

1,729 is divisible by 9
a. true
b. false

Answers

It is b: False 1,729 isn’t divisible by 9

A school rewards students for good work by giving them merit points.
James has x merit points.
Sarah has four times as many merit points than James.
Robert has 31 fewer merit points than James.
Each merit point is worth 3 pence.
All three of the students have a total of £14.73
Work out how many merit points each student has.

Answers

Answer:

hi...... hello.. m...... n. b

HELP WITH MATH IF YOU DON'T KNOW THE ANSWER THEN GET OUT OF THE QUESTION

Answers

Answer:

1.79 or 43/24

Step-by-step explanation:

179 pregunta 43/24

- Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Simple interest = principal x time x rate
= 1100 x 3 x 5 /100
=165.00
=£165.00

Answer:

it is 1265 ?!?!?!!?!?!!?

Step-by-step explanation:

work out

The front of a vacation cottage is an equilateral triangle with a base of 44 feet. What is the height
x of the cottage above its foundation?

Answers

Answer:

Step-by-step explanation:

pl help it’s for a grade

Answers

Answer:

area of lot: (2×2+7×+6)-1624= 2×2+7×-1618

Step-by-step explanation:

lot: (2×+3)(xt2)

2×2+4×t3×t6

a: 2×2+7×+6ft 2

house: 58×28= 1,624

a: 1624 ft 2

18 points please help! check the file!

Answers

Answer:

90 days you need to find the LCM of both of the days

Step-by-step explanation:

Find where 18 and 30 end up to and those are the many days they meet up again

Someone please help me with this I might sure what to put :/
PLEASE AND THANKS YOU

Answers

Answer:

Albert is running 6 miles an Hour while Tanisha is running 3 miles an Hour

Step-by-step explanation:

Half the product of two numbers m and n, minus five times a third number p

Answers

Answer:

Step-by-step explanation:

(1/2)(m)(n) - 5(p)

This is an expression, not an equation.

Two plastic geometric models shaped like a triangular prism and a triangular pyramid are each 16 cm tall. The base of each model is a triangle with a base of 12 cm and a height of 5 cm. How much greater than the volume of the prism?

Answers

Answer:

320 cm difference

Step-by-step explanation:

Volume for Triangular prism: (1/2)(b)(h)(H)Volume for Triangluar pyramid: (1/3)(1/2)(b)(h)(H)

480-160=320

Find the area of the triangle to the nearest tenth

Answers

Area= 8.1 11.3sin61
—————— = 40.03
2
40.03 cm

18.9 divided by 5 I need the answer I decimal form ASAP!!!!!!!!

Answers

Answer: 3.78

Step-by-step explanation:

a circular garden has a diameter of 12 feet. what is the best approximation for the circumference of the garden? use 3.14 to approximation pi

Answers

Answer:

37.68

Step-by-step explanation:

C(circumference)= 2pi r

If the diameter is 12, the r adius is 6

plug into equation

2(pi)(6)

=12pi

=37.68

Answer:

37.68 for K12

What type of symmetry does the figure have?




line symmetry only

rotational symmetry only

both line and rotational symmetry

none of the above

Answers

Answer:

B. rotational symmetry only

Step-by-step explanation:

Line symmetry is when the line acts like a mirror. We don't have such a symmetry here.

The figure has rotational symmetry only, if you rotate it about its center it will map to itself every 180 degrees.

Correct option is B

Answer:

B. rotational symmetry only

Step-by-step explanation:

HELP ANSWER FAST!!!!!

Answers

Answer:

i don't know i am sososososo sosososososososo sorry

Step-by-step explanation:

y = 2x + 5
Linear or non-linear?

Answers

Answer:

linear.

Step-by-step explanation:

It has a slope and a y value

A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?

Answers

Answer:

I'm pretty sure it is 85 feet

The polynomial ax2 − 64 is a difference of two squares. Find all possible values of a between 1 and 100 inclusive. The inclusive values are

Answers

Answer:

[tex]a = \{1,4,9,16,25,36,49,64,81,100\}[/tex]

Step-by-step explanation:

Given

[tex]ax^2 - 64[/tex]

Required

Determine possible values of a

For the expression to be a difference of two squares, then a must be a perfect square between 1 and 100 (inclusive).

Let [tex]a = k^2[/tex] where [tex]k \ge 1[/tex]

When k = 1

[tex]a = 1^2 = 1[/tex]

k = 2

[tex]a = 2^2 = 4[/tex]

k=3

[tex]a = 3^2 = 9[/tex]

It goes on until k = 10

[tex]a = 10^2 = 100[/tex]

So, the possible values of a are:

[tex]a = \{1,4,9,16,25,36,49,64,81,100\}[/tex]

3g – 6 = 18 – g
solve for g

Answers

Answer:

g = 8

Step-by-step explanation:

3g - 6 = 18

     +6   +6

3g = 24

divide by 3

g = 8

Answer:

The answer is G = 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hoped this helped!

Brainly, Please?

PLZ HELP ASAP!! WITH GIVE HIGHEST POINTS IF THE ANSWER IS RIGHT!!!

Answers

Answer:

degree is 6 and it is a trinomial

The degree is 6 and trinomial

The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $250 for each ton of sugar
transported. The total cost, C (in dollars), for transporting n tons is given by the following.
C = 3500+ 250n

What is the total cost of transporting 15 tons?

In the total cost is $8750, how many tons is the company transporting?

Answers

Answer:  Equation relating C to S   :

The total cost to transport 19 tons of sugar is $11, 250.

Step-by-step explanation:

Given : It will cost $6500 to rent trucks, and it will cost an additional $250 for each ton of sugar transported.

Total cost =  $6500 + $250 x (amount of sugar transported ( in tons))

Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported.

Then, the equation relating C to S  would be :

When S= 19 , we get

Hence, the total cost to transport 19 tons of sugar would be $11, 250.

List the sides of the triangle in order from shortest to longest

Answers

Answer:

To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.

please help will give brainliest

Answers

Answer:

Answer is c

Step-by-step explanation:

What is the coefficient in the expression 10x + 8?
Stact

Answers

In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant. So the answer would be 10

Answer:

10

Step-by-step explanation:

whenever a number is next to a variable it is always called the co efficient

In a year, there are 4 months that have 30 days.

What is the ratio of the months with 30 days to the months with other than 30 days?




2 to 1

1 to 3

1 to 2

3 to 1

Answers

The answer would be 1 to 2 .
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