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


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Answer:

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Step-by-step explanation:

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

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?




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Answer:

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Step-by-step explanation:

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Answer:

I'm pretty sure it is 85 feet

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Answer:

1.79 or 43/24

Step-by-step explanation:

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

Answers

Answer:

Step-by-step explanation:

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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.

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

- 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

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Answer:

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Step-by-step explanation:

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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

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Answer: 3.78

Step-by-step explanation:

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Step-by-step explanation:

The front of a vacation cottage is an equilateral triangle with a base of 44 feet. What is the height
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Answer:

Step-by-step explanation:

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

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Step-by-step explanation:

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

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Answer:3/10 or 0.3

Step-by-step explanation:

y = 2x + 5
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Answer:

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Step-by-step explanation:

It has a slope and a y value

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.

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Answer:

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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

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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

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Answers

Answer: he worked 31 hours and he earned $317.75

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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

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

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

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Sarah has four times as many merit points than James.
Robert has 31 fewer merit points than James.
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Work out how many merit points each student has.

Answers

Answer:

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Answers

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

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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.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

lot: (2×+3)(xt2)

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Answers

Answer:  Equation relating C to S   :

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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.

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solve for g

Answers

Answer:

g = 8

Step-by-step explanation:

3g - 6 = 18

     +6   +6

3g = 24

divide by 3

g = 8

Answer:

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Step-by-step explanation:

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Brainly, Please?

Find the solution of this system of equations.
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Answers

Answer:

Step-by-step explanation:

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