The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _______ represent the first number Then _______ will represent the second number. b) What is the equation that represents the above situation? c) Solve the equation.

Answers

Answer 1

Answer:

34 and 17

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

x = 2yx + y = 51

c) Solve the equation.

Substitute x in the second equation and solve for y:

x + y = 512y + y = 513y = 51y = 51/3y = 17

Then find x

x = 2y = 2*17 = 34
Answer 2

Answer:

[tex]\tt{34~and ~17 }[/tex]

Step-by-step explanation:

let the first number is =x

second number is =y

The sum of two numbers is 51 =x+y=51•••{1}

the greater number is twice the smaller number= x=2y••••••••{2}

According to the question,

[tex]\bold{ x+y=51 }[/tex]

[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]

[tex]\bold{ 3y=51 }[/tex]

[tex]\bold{ y=\dfrac{51}{3} }[/tex]

[tex]\boxed{\blue{y=17 } }[/tex]

NOW put the value y in equation {2}

we get that,

[tex]\bold{ x=2×17 }[/tex]

[tex]\bold{ x=34 }[/tex]


Related Questions

In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.

Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after

Answers

Answer: 0.09 mg

Step-by-step explanation:

To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.

= 5e⁻⁰°⁴ˣ¹⁰

= 5e⁻⁴

= 0.09157819444

= 0.09 mg

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer:

[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]

4x-5y+32=0 is the right answer.

Plssssssssssssss help meeeeeeee

Answers

Answer: $10

Step-by-step explanation:

So she's spending the money:

150.55 - 45.76 = 104.79

104.79 - 35.00 = 69.79

69.79 - 79.82 = -10.03

After she adds the 20.03 into her bank account, she now has $10

Find the perimeter in simplest form and explain your work

Answers

9514 1404 393

Answer:

  7 1/8 yd

Step-by-step explanation:

The perimeter is the sum of the three side lengths. They are all the same, so we can use multiplication to find their sum.

  P = 3·(2 3/8 yd) = 6 9/8 yd  . . . . .  9/8 = 1 1/8

  P = 7 1/8 yd

The perimeter is 7 1/8 yards.

Answer:

[tex]perimeter \: of \: the \: triangle \\ = 2 \frac{3}{8} +2\frac{3}{8} + 2 \frac{3}{8} \\ = 3 \times 2 \frac{3}{8}\\= 3 \times \frac{19}{8} \\ = \frac{57}{8} \: yd \\ = 7 \frac{1}{8} \: yd[/tex]

57/8 yards is the right answer.

help me please!!! will give brainliest!!​

Answers

Answer:

what questions you need answers?

Simplify (3a^4-2a^2+5-10)-(2a^4+4a^2+5a-2)

Answers

Answer:

Step-by-step explanation:

3a^4 -2a^2 + 5 - 10 -(2a^4 +4a^2 + 5a -2)

as given.. i'm wondering if the 5 in the first group is really 5a.. hmmm

I'm guessing that it is...  soooo distribute the minus sign

= 3a^4 - 2a^2 +5a -10  -2a^4 -4a^2 -5a +2

= a^4 -6a^2 -8   :)  voila that's your answer

Anyone know the answer ?

Answers

Answer:

74 is the answer

Step-by-step explanation:

64+42=106

180-106=74

hope this helped!

Answer: 74°

42+64=106

180-106=74

I hope this helps :

Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.

Answers

Answer:

8 hours

Step-by-step explanation:

We are given that

Casi traveled distance in 3 hours=135 miles

We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .

Let time taken by Casi to drive 360 miles=x

We know that

Speed=[tex]\frac{Distance}{time}[/tex]

Using proportion

[tex]\frac{a}{b}=\frac{c}{d}[/tex]

[tex]\frac{135}{3}=\frac{36}{x}[/tex]

[tex]x=\frac{360\times 3}{135}[/tex]

[tex]x=8[/tex]

Hence, the time taken by Casi to drive 360 miles=8 hours

please simplify 5(x-1)

Answers

Answer:

5x-5

Step-by-step explanation:

Just use distribuative property

Solve the system of equations by the addition method.

5x + 2y = 1
2x - 2y = -8

Answers

Answer:

(-1, 3)

Step-by-step explanation:

5x + 2y = 1

+

2x - 2y = -8

7x = -7

x= -1

2(-1) - 2y = -8

-2 - 2y = -8

-2y = -6

y = 3

Question 7 of 10
What is the solution to this equation

Answers

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

Please help
Regroup and write your answer in simplest form

Answers

First you should write 2 3/4 as a decimal, 2.75 then multiply 2.75 by 2 to get 5.5. 5.5 equals 5 1/2.
Ms. Addison needs 5 1/2 cups of flour.

Зp + 2р – р

Please helppp haha

Answers

Answer:

4p

Step-by-step explanation:

3p + 2p = 5p

5p - p = 4p

Answer:

4p

Step-by-step explanation:

i want branliest please

Size of angle x in 51

Answers

Answer:

32

Step-by-step explanation:

you multiply the x factor

HELP PLSPLS QUICKPLSSSSSSSSSSSS

Answers

Answer:

Step-by-step explanation:

11/12 - 5/8 =  ? Make the denominator the same (multiply the first term by 2 and the second term by 3).

22/24 - 15/24 = ? Just simplify/solve. 22-15=7.

7/24

OPTION A = 7/24

Please PLEASE HELPPP!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.

Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?

Answers

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

I would appreciate brainliest.

i'll give brainliest

Answers

Answer:

A. 50.3 meters

Calculate the slope between (-3,1) and (6,13)

Answers

Answer:

4 / 3

Step-by-step explanation:

slope formula: (y2 - y1) / (x2 - x1)

(13 - 1) / (6 + 3)

12 / 9

4 / 3

the answer is 4/3 so there you go

Help plz ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

Answer:-2

Step-by-step explanation:

Please help I really need it

Answers

Answer:

the slope is 3

Step-by-step explanation:

Answer:

m = -1/3

Step-by-step explanation:

You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:

-5/15 = -1/3

This means we have a slope of -1/3.

Alternatively, we could just the points and put them into the slope formula.

We have the points (0,25) and (15,20). We can substitute those values into the formula:

m = y₁ - y₂ / x₁ - x₂

m = 25 - 20 / 0 - 15

m = 5/-15

m = -1/3

Works all the same.

5. The point (-7, 4) is reflected over the line x = -3. Then,
the resulting point is reflected over the line y = x. Where
is the point located after both reflections?
A. (-10,-7)
B. (1,4)
C. (4, -7)
D. (4,1)

Answers

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

Due in 15 minutes helppppp

Answers

Answer:

13,5,12 inches hope this helps

Step-by-step explanation:

14a + 8
Factor the Algebraic Expression ​

Answers

Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.

Answers

Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

The total number of chairs in the audience is 105.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.

Let, 'x' be the total number of chairs.

Therefore, 40% of 'x' is 42 which can be numerically expressed as,

(40/100)×x = 42.

0.4x = 42.

x = 42/0.4.

x = 105.

So, The total number of chairs in the audience is 105.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

15)
You are asked to solve -10% +15 < -2x - 9. Which three statements are true?
A)
x > 3
B)
X<2
2 is a solution
D)
-8x < -24
3 is not a solution.

Answers

Answer:

A, x>3

Step-by-step explanation:

You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!

1 Adrian is buying a new radio.
The radio is on sale.
The sale price of the radio is 20% off the normal price.
The radio Adrian buys is slightly damaged.
The shop takes an extra 15% off the sale price due to the damage.
Work out the overall percentage reduction of the price of the radio.
Total 5 Marks

Answers

Answer:

35

Step-by-step explanation:

20 + 15 = 35

hope this helps

Can somebody please help me with this pleaseee

Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

A parents wants to give a birthday party at Chucky Cheese. The cost is $50 plus $10 for every guest. Define the variables for the function and Identify the independent and dependent variables. Explain how you know If this a discrete or continuous function

Answers

Answer:

there are no variables

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