The sum of three numbers is 107. The second number is 7 less than the first. The third number is 3 times the second. What are the numbers?

Answers

Answer 1

Answer:

27, 20, 60

Step-by-step explanation:

We use the equation

(x) + (x - 7) + (3 * (x - 7)) = 107

= x + x - 7 + 3 * (x - 7) = 107

= 2x - 7 + 3(x - 7) = 107

Add  7 on both sides

= 2x + 3(x - 7) = 114

Expand the 3

= 2x + 3x - 21 = 114

= 5x - 21 = 114

Add 21 on both sides

= 5x = 135

Divide 5 on both sides

= 5x/5 = 135/5

= x = 27

Plug the functions in

(27) + (27 - 7) + (3 * (27-7)) = 107

You would get

27 + 20 + 60 = 107, therefore the numbers are 27, 20, 60


Related Questions

​​​​​​(−5)(16) = answer this plz

Answers

The answer (-5)(16) is = -80

Describe what a positive slope means in a real world situation.

Answers

Answer:

A positive slope means that something is increasing. For example if there is a positive slope in the graph of position, that means the position is increasing, or there's a positive velocity. Another example, if the graph of velocity has positive slope, it means it is increasing or there's acceleration.

What is the factorization of the following trinomial? 15x2 - 44x - 36
(5x - 9)(3x +4)
(3x - 4) (5x + 9)
(5x -18) (3x + 2)
(5x + 18 ) (3x - 2 )

Answers

Answer:

(5x + 18) ( 3x-2)

Step-by-step explanation:

(3x       ) ( 5x       )

then guess and check

(5x + 18) (3x-2)

i find it easier to look at the answers and redistribute them to create a trinomial especially if they give you a multiple choice

Answer (5x+2)(3x-2)

Explanation
Break into groups
(15x^2+6x) + (-10x-4)
Factor
3x(5x+2)-2(5x+2)
Factor out common term(5x+2)
=(5x+2)(3x-2)

Sarah bought an autographed football for $300. The value of the football has increased $50 every year since she purchased the football.
Which equation models the value, v, of the football t years after Sarah purchased it?
A.
V = 300(0.95)' + 501
O B. v = 50t + 308
o C. v= 300 + (1.5)
OD
V = 300t + 50

Answers

Answer:

D

Step-by-step explanation:

300+50t=v

The required equation model would be 300 + 50t = v which is the correct answer would be an option (D).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The $300 football Sarah spent was autographed. The football is now worth $50 more than it was when she originally bought it which is given in the question.

Since she bought an autographed football for $300

The value of the football has increased by $50 every year

So the equation models would be as:

⇒ 300 + 50t = v

Here, v represents the value of the football, and t represents the years after she purchased it.

Hence, the correct answer would be option (D).

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Descubrí las reglas de formación que se usaron para generar estos números irracionales y escribí las seis cifras decimales que siguen. 0,1234567891011... 0,2468101214.... 0,1010010001...

Answers

Answer:

hola, lo puedes colocar en ingles por favor, seria mas facil para mi

Step-by-step explanation:


What is the quadruple of 2-2

Answers

Answer:

Please check the explanation below.

Step-by-step explanation:

As we know that quadruple is basically a fourfold amount or number.

For example,

The quadruple of 6 is 24.

4 x 6 = 24

Similarly, the quadruple of 10 is 40.

4 x 10 = 40

Now, let me solve your query.

Given the expression

2 - 2

as

2-2 = 0

so

we have to determine the quadruple of 0.

i.e.

4 x 0 = 0

Therefore, 0 is the quadruple of 2-2 (or 0).

I hope, it has cleared your concept.

2= d-11/3

100 points if u answer pls help asap

Answers

Answer:

i hope this works

Step-by-step explanation:

d=17/3

d=5.666

d=5 2/3

Answer:

Solution given:

2=d-[tex] \frac{11}{3} [/tex]

2+[tex] \frac{11}{3} [/tex]=d

d=[tex] \frac{6+11}{3} [/tex]

d=[tex] \frac{17}{3} [/tex] or [tex] 5\frac{2}{3} [/tex]

is your answer

Ashley is taking a road trip to visit her friend. She drives 87.5 miles before taking a break for lunch. After lunch, she finishes the trip without stopping again. The total distance to her friend's house is 200 miles. How far did Ashley drive after lunch? 112.5 miles 113.5 miles 123.5 miles I don't know.

Answers

Answer:

Answer 112.5  :)

Step-by-step explanation:

Based on the distance she was able to drive before lunch, Ashley was able to drive 112.5 miles

Ashley has a total of 200 miles to drive in order to get to her destination.

Out of that, she drove 87.5 miles and then rested. The number of miles to go is:

= Number of miles in total - Number of miles driven

= 200 - 87.5

= 112.5 miles

In conclusion, Ashley has driven 112.5 miles.

Find out more at https://brainly.com/question/25282501.

Hi. Please I need help with these questions.
It's urgent . 50pts.
No jokes. This time
Answer No 8 and 9

Answers

9514 1404 393

Answer:

  8. 4 +2q²/p² -4r/p +r²/p²

  9. (x, y) = (3/4, -17/8)

Step-by-step explanation:

All of these questions are asking you to make use of the fact that ...

  α + β = -q/p

  αβ = r/p

__

8. (2 +α²)(2 +β²) = 4 + 2(α² +β²) +α²β²

  = 4 +2((α+β)² -2αβ) +(αβ)²

Substituting the above for the sum and product, you have ...

  = 4 + 2((-q/p)² -2(r/p)) +(r/p)²

  = 4 +2q²/p² -4r/p +r²/p²

__

9. This is asking for the vertex of the parabola. The x-coordinate is ...

  x=-b/(2a) = -(-3)/(2(2) = 3/4

Then the y-coordinate is ...

  y = (2(3/4) -3)(3/4) -1 = (-3/2)(3/4) -1 = -9/8 -1 = -17/8

The (x, y) values of interest are (3/4, -17/8).

m +20= 3
What is m and the inverse operation​

Answers

Answer:

-17

Step-by-step explanation:

A television on black friday costs $280 this is 70% of the regular price
Find the regular price of the television.

Answers

Step-by-step explanation:

the regular price would be 400$

Ian has $6000. He wants to buy a car within $1500 of this amount. Define a variable, write an open sentence, and find
the range of car prices. ANSWER ASAP SDJLB

Answers

Is this algebra 1 or 2

Can you please mark me as brainilist please
the range is 1450-1750

A twizzler factory makes regular 8in, king size 10in, extra long 16in, and snack size 3in twizzlers. Before packaging the candy, the size is checked and any pieces that have a percent error of 1.5% or more are rejected. Would every size of twizzler be rejected for being 0.14in too short? Why or why not?

Answers

Answer:

Step-by-step explanation:

fdsdfghjhgv njhgfghj nbhgvfgbh nhgvfbhg huygvbh huyvg hbv

-1.5 +3.5 +2=

PLEASE HELP my slow brain. :p

Answers

Answer:

4

Step-by-step explanation:

-1.5+3.5= 2

2+2=4

Answer:

4

Step-by-step explanation:

−1.5+3.5+2

=2+2

=4

4n+2p-10=-2n+8p+2 someone pls solve this!

Answers

Answer:

Step-by-step explanation:

in standard form : 2n-6p = 12

evaluate: n=3p+6

pls can you be more specific next time, hope one of these answers your question


What is the simplest form of the ratio 40:16?
А.
20:8
B.
10:4
c.
5:4
D
5:2
E.
10:8

Answers

Answer:

The simplest form is D) 5:2

Answer: 5:2

Step-by-step explanation:

HAVE A GOOD DAY!!!!!!

help me answer this question PLS

Answers

Answer:

PQ+QR are the 2 line segments that make up PR

Therefore, 18+9=PR

PR=27

Step-by-step explanation:

A construction company charges $15 per hour for demolition Plus a one time $50 fee for the use of trash dumpsters how much would it cost for a full eight hours a day

Answers

Answer:

$170

Step-by-step explanation:

Given that:

One time fee for the use of trash dumpsters = $50

Charges for demolition per hour = $15

Time period for which trash dumpsters are used per day = 8 hours

To find:

The cost of 8 hours of operation = ?

Solution:

Here, to find the required cost, we need to first multiply the number of hours with the per hour cost of using the trash dumpsters.

And then we need to add the fixed / one time cost of the trash dumpsters to find the required cost.

Cost for using it for 8 hours = [tex]8 \times 15 = \$120[/tex]

Total cost for using it for full 8 hours = Cost for using it for 8 hours + One time cost = $120 + $50 = $170

Therefore, the answer is: $170

Rewrite each linear equation in standard form. Then, state the values for A, B, and C.


0.09x-0.01y=0.39 _____
A=_______,B= _______,C= _______

Answers

Answer:

A = 9/100

B = -[1/100]

C = -[39/100]

Step-by-step explanation:

Given:

0.09x - 0.01y = 0.39

Find:

A,B,C

Computation:

Linear equation;

Ax + By + C = 0

So,

0.09x - 0.01y = 0.39

9x/100 - 1y/100 = 39/100

9x/100 - 1y/100 - 39/100= 0

So,

A = 9/100

B = -[1/100]

C = -[39/100]

Part
The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that
has the same base and height as the cone?

Answers

Answer:

900 cubic inches.

Step-by-step explanation:

Given the following data;

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

[tex] V = \frac {1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of right circular cone. r is the radius of the base of the right circular cone. h is the height of the right circular cone.

The volume of a right circular cylinder is given by the formula;

[tex] V = \pi r^{2}h[/tex]

Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.

[tex] V = \frac {1}{3} \pi r^{2}h * 3[/tex]  

Substituting into the equation, we have;

[tex] V = 300 * 3[/tex]

V = 900in³

Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.

The Keatings have several bird feeders in their yard. They started with a 10.5-pound bag of birdseed. After 2 months, 12 ounces remained. What is the percent of change in the amount of birdseed after two months? Round your answer to the nearest tenth of a percent if necessary.

Answers

Answer:

[tex]92.9\%[/tex]

Step-by-step explanation:

Initial amount of birdseed = 10.5 pounds

Final amount of birdseed = 12 ounces

[tex]1\ \text{ounce}=\dfrac{1}{16}\ \text{pounds}[/tex]

[tex]12\ \text{ounces}=\dfrac{12}{16}=0.75\ \text{pounds}[/tex]

Percentage change in the amount of birdseed is

[tex]\dfrac{\text{Initial-Final}}{\text{Initial}}\times 100\%=\dfrac{10.5-0.75}{10.5}\times 100\%\\ =92.9\%[/tex]

The percentage of birdseed that changed is [tex]92.9\%[/tex]

3y - x = 2
3y + x = 16

Answers

{y,x}={3,7}

hope this is helpful :)

Hi.Please its urgent
See image for question
Answer no 16 and 17

Answers

9514 1404 393

Eexplanation:

16. Suppose the roots are α and kα. Then we can write the equation as ...

  a(x -α)(x -kα) = 0

  ax² -ax(α +kα) +akα² = 0

Comparing to the original equation, we can equate coefficients to get ...

b = -aα(1+k)c = akα²

Solving the first for α gives ...

  α = -b/(a(1+k)

Substituting into the second, we have ...

  c = ak(-b/(a(1+k)))²

Multiplying by a(1+k)², we get ...

  (1+k)²ac = kb²

Using k=2 gives ...

  9ac = 2b² . . . . . as required

__

17. Using the previous result with k=1 (equal roots), we have ...

  (1+k)²ac = kb²

  4ac = b² . . . . . for k=1

______

Additional comment

We observed that the problems were similar, but had different factors relating the roots. So, we elected to solve the general case, then fill in the specific values for the two problems.

HELP PLEASE

If f(x) = 2x2 + 3 and g(x) = -3x - 6, find f(x) · g(x).

Answers

Answer:

I think it would be -2-9x but I'm not sure please let me know if it's wrong.

- 20y - 7x = -14
10y - 2x = -4

Answers

Answer:

(2, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

-20y - 7x = -14

10y - 2x = -4

Step 2: Rewrite systems

10y - 2x = -4

Subtract 10y on both sides:                    -2x = -10y - 4Divide -2 on both sides:                          x = 5y + 2

Step 3: Redefine systems

-20y - 7x = -14

x = 5y + 2

Step 4: Solve for y

Substitution

Substitute in x:                              -20y - 7(5y + 2) = -14Distribute -7:                                 -20y - 35y - 14 = -14Combine like terms:                     -55y - 14 = -14Add 14 on both sides:                  -55y = 0Divide -55 on both sides:            y = 0

Step 5: Solve for x

Define original equation:                    10y - 2x = -4Substitute in y:                                     10(0) - 2x = -4Multiply:                                                0 - 2x - 4Simplify:                                                -2x = -4Divide -2 on both sides:                      x = 2

Step 6: Graph systems

Check solution set and systems.

A local charity is selling seats to a baseball game. Seats cost $20 each, and snacks cost an additional $6
each. The charity needs to raise $562 to consider this event a success,
Enter a linear equation that describes the problem.
An equation for the amount of money raised for charity is
seats sold, and y is the number of snacks sold.
= $562, where s is the number of seats sold, and y is the number of snacks sold

Answers

Answer:

delet

Step-by-step explanation:

Answer:

Above

Step-by-step explanation:

20s+6y=562

7. A hospital supply room only has a 70% hydrogen peroxide solution and a 90% hydro-
gen peroxide solution. How many liters of each should be mixed to obtain 50 liters
of a 85% solution? You must set up an equation and solve to receive credit.

Answers

Answer: 12.5 liters of 70% hydrogen peroxide solution and 37.5 liters of 90% hydrogen peroxide solution is required.

Step-by-step explanation:

Let x = Quantity of 70% hydrogen peroxide solution.

y = Quantity of 90% hydrogen peroxide solution.

To obtain: 50 liters of a 85% solution.

x+y =50   (i)   (Total quantity of solution)

0.70x+0.50y=0.85(50)   (Total quantity of  hydrogen peroxide)

⇒ 0.70x+0.50y= 42.5 (ii)

Multiply 0.70 to (i) , we get

[tex]0.70x+0.70y=0.70(50)\\\\\Rightarrow\ 0.70x+0.70y=35\ \ \ \ (iii)[/tex]

Subtract (iii) from (ii), we get

[tex]0.20y=7.5\\\\\Rightarrow\ y=\dfrac{7.5}{0.20}\\\\\Rightarrow\ y=37.5[/tex]

Put value of y in (i) , we get

[tex]x+37.5=50\\\\\Rightarrow\ x=50-37.5\\\\\Rightarrow\ x= 12.5[/tex]

Hence, 12.5 liters of 70% hydrogen peroxide solution and 37.5 liters of 90% hydrogen peroxide solution is required.

Calculate the value of x

Answers

Answer:

12x=180 -30

x= 150/12

x= 12.5°

Answer:

x = 12.5

Step-by-step explanation:

The 3 angles lie on a straight line and so sum to 180°, that is

x + 10 + 10x + x + 20 = 180, simplify

12x + 30 = 180 ( subtract 30 from both sides )

12x = 150 ( divide both sides by 12 )

x = 12.5

Divide.

Twenty-three thousand three hundred fifty-eight divided by thirty four.

Answers

Answer:

687

Step-by-step explanation:

Answer:

687 is the answer

Step-by-step explanation:

23,358 / 34 = 687

find two consecutive integers whose sum is 51​

Answers

Answer:

25 and 26

Step-by-step explanation:

Let the integers be:

n and n + 1

Then their sum:

n + n + 1 = 512n + 1 = 512n = 50n = 25

So the numbers are 25 and 26

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