The sum of three numbers is 105. The third number is 2 times the first. The first number is 5 less than the second. What are the numbers?

Answers

Answer 1

Answer:

The second number = 30

The first number = 25

The third number = 50

Step-by-step explanation:

Let

The second number = x

The first number = x - 5

The third number = 2(x - 5)

Total = 105

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

105 = x + x - 5 + 2x - 10

105 = 4x - 15

105 + 15 = 4x

120 = 4x

x = 120/4

x = 30

The second number = x

= 30

The first number = x - 5

= 30 - 5

= 25

The third number = 2(x - 5)

= 2(30 - 5)

= 2(25)

= 50


Related Questions

A line has a slope of 5 and passes through the point
(2, 0) . What
isitsequationin
slope -intercept
form?

Answers

Answer:

Step-by-step explanation:

The equation is mx+b=y.

M=slope (in this case 5)

x=x coordinates

b=y intercept

y=y coordinates

For the x and y coordinates, I'll use (2,0).

5(2)+_=0

10+_=0.

In this case, we only have one awnser, -10. Since 10+(-10) are the only ways to equal 0.

Hope this helps,

20 POINTS
A line passes through the points (7,-3) and (7,11).
a. What is the equation for the line?
b. Does the equation you wrote in part a represent a function? Explain why or why not.

Answers

Answer:

x = 7; NO

Step-by-step explanation:

Notice that the x-coordinate remains the same, 7, for both points, whereas the y-coordinate changes.  Thus, the line through these two points is a vertical one:  x = 7.  No, this is not a function, since one x value (7) has more than one y values associated with it.

got some more and more

Answers

A and D are the answers

What is the simple interest on $360 borrowed for 30 months at 12.3%?

PLEASE SHOW HOW YOU SOLVEDIT!!! :D

Answers

Answer:

$110.70

Step-by-step explanation:

I=PRT

P (principal)=360

R(rate)=12.3%

T(time)=30 months (2 and half years)

I=360*12.3%*2.5

=$110.70

Just to note 12.3% is also 0.123 we sometimes change it into a decimal.

$110.70 is the answer good luck!

at the snack shack, students attending the football game can buy sodas for $1 and slices of pizza for $3. At fridays game, the snack shack made $250 by selling a total of 180 items. How many sodas were sold? How many pizzas were sold?

Answers

Answer:

126-pizza

124- soda

Step-by-step explanation:

What is the answer!!!!!?

Answers

Answer:

29 degrees

Step-by-step explanation:

Given

<D = 2x+8

<A = 122

The sum of the adjacent angle of the trapezoid is 180 degrees

<D + <A = 180

2x + 122 = 180

2x = 180-122

2x = 58

x = 58/2

x = 29 degrees

Hence the value of x is 29 degrees

Please write an equation

Answers

Answer:

y = [tex]\frac{3}{4}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5) ← 2 points on the line

m = [tex]\frac{5-2}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = [tex]\frac{3}{4}[/tex] x + 2 ← equation of line

Write the following using algebraic notation, using the letter X for any unknown numbers

I think of a number, multiply by 2, the subtract 9

Answers

2x - 9

Multiply the number x by 2 is 2x
Subtract by 9 is - 9

1.
4 sides equal sides and 4 right angles:
4 sides equal sides and 4 right angles

Answers

Answer:

a square

Step-by-step explanation:

I can't figure out if it's B or d ​

Answers

Answer:

D

Step-by-step explanation:

the answer is going to be d

Trina collects eggs from her hens.
She labels their eggs small or medium or large.
20% of the eggs she collected in May were small.
24% of the eggs she collected in May were large.
(a) What percentage of the eggs she collected in May were medium?

Answers

Answer:

56% of her eggs were medium in may

Step-by-step explanation:

if 20% of the eggs she collected in May were small, 24% of the eggs she collected in May were large. All you have to do is add them up which is 44% and minus it by 100% which is 56%

~Batmans wife dun dun duuuun

If there are friends who read the book "Killing a Mockingbird", can they give information about its content? But please do not have a clear copy. Thanks, you love it guys ..;)​

Answers

Answer:

There is really no substitute for reading this story. It's a classic, and gives some real insights into a culture where racial prejudice flourished, and how Scout's father stood against it.

Step-by-step explanation:

If you are reading, and have questions about what's going on, or what things mean, please ask.

The temperature during one day in Auckland decreases from 21°C to 17°C. Calculate the percentage decrease correct to 3 significant figures.

please i need a quick answer

Answers

Answer:

19.04%

Step-by-step explanation:

The temperature decreases from 21°C to 17°C.

We need to find the percentage decrease in the value of temperatures.

The percentage decrease in any value is given by :

[tex]\%=\dfrac{|\text{initial value-final value}|}{\text{initial value}}\times 100\\\\=\dfrac{21-17}{21}\times 100\\\\=19.04\%[/tex]

So, the required percentage decrease is 19.04%.

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If AC=16AC=16 and DC=3,DC=3, what is the length of \overline{BC} BC in simplest radical form?

Answers

Answer:

4√3

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of a triangle based on the legs (sides)

AC/BC = BC/DC

Given

AC = 16

DC = 3

Required

BC

Substitute the given values

16/BC = BC/3

Cross multiply

BC² = 16×3

BC² = 48

BC = √48

BC = √16×3

BC = 4√3

Hence the measure of BC is 4√3

2 1/4 x 1 1/2 x 5/3?????

Answers

Answer:

20 5/8

Step-by-step explanation:

here u gooooo that's the answer

Help plsssssssssssssss

Answers

Answer:

45

Step-by-step explanation:

r

Answer:

8 centimeters is > 19 millimeters

Step-by-step explanation:

Please plz help angles inside circles. and segments

Answers

Answer:

the first one

Step-by-step explanation:

Does anyone know this? Need it ASAP.

Answers

Answer: [tex]12*\sqrt{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]\frac{14}{\sqrt{2} } + \sqrt{50}[/tex]

we know that:

14*14 = 196

then:

14 = √196

[tex]\frac{\sqrt{196} }{\sqrt{2} } + \sqrt{50} = \sqrt{196/2} + \sqrt{50} = \sqrt{98} + \sqrt{50}[/tex]

Now, we can rewrite:

50 = 2*25

98 = 2*49

This is because we know that 49 and 25 are perfect squares, then:

[tex]\sqrt{98} + \sqrt{50} = \sqrt{2*49} +\sqrt{2*25} = \sqrt{2} *\sqrt{49} + \sqrt{2} *\sqrt{25}[/tex]

Now we can use the common factor √2 and get:

[tex]\sqrt{2} *\sqrt{49} + \sqrt{2} *\sqrt{25} = \sqrt{2}*(\sqrt{49} + \sqrt{25} )[/tex]

and we know that:

7*7 = 49

5*5 = 25

then:

[tex]\sqrt{2}*(\sqrt{49} + \sqrt{25} ) = \sqrt{2}*(7 + 5) = 12*\sqrt{2}[/tex]

the value of b is:

b = 12

The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the difference of the lengths of the highways when 1 = 1 = 4? Explain.

Answers

Step-by-step explanation:

13.5 is the difference of the length of the roads

What is the Range of
100, 75, 40, 90, 80, 100,
92, 88, 80, 84, 81?

Answers

Answer:

60

Step-by-step explanation:

100 is the greatest value, 40 is the lowest 100-40=60

Answer: 60 i think

Step-by-step explanation:

find the measure of the angle.

Answers

Answer:

the awnser should be. 165

165° because it’s in the middle of 160 and 170

Stephanie took advantage of the interest-only financing from Rooms-To-Go and borrowed $2,000 with a 15 percent annual interest rate. How much will she have paid in interest after 8 months?

Answers

Answer: $200

Step-by-step explanation

Principal = $2000

Rate = 15%

Time = 8 months = 8/12 = 2/3 years

Interest = Principal × Rate × Time

= 2000 × 15% × 2/3

= 2000 × 15/100 × 2/3

= $200

The interest is $200

Factor each polynomial
36xy²-48x²y

Answers

Answer:

12xy(3y-4x)

Step-by-step explanation:

In a fish tank there are 10 fish. 5 are goldfish, 1 is an angelfish, and 4 are guppies. If a fish is selected at random, find the probability of getting a guppy or an angelfish.

Answers

Answer:

40% guppy 10% angel

Step-by-step explanation:

What kind of transformation on a coordinate grid does each statement describe?
b) The vertex at (x, y) moves to (x + 5, y + 3).

c) The vertex at (x, y) moves to (y, –x).

d) The vertex at (x, y) moves to (y, x).

Answers

b) translation (up 3, right 5)

c) rotation 90° clockwise

d) reflection over y=x

HELP PLEASE!!! Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.95 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

Answer:

67.43

Step-by-step explanation:

Solve the inequality 4 x - 7 < 5

Answers

[tex]4x - 7 < 5\\4x < 12\\x < 3[/tex]

4x - 7 < 5

4x + (-7)

For example x = 2

4 * 2 = 8

8 - 7 = 1

1 < 5

Sorry if I did the question wrong.


Today, everything at a store is on sale. The store offers a 20% discount.
1. The regular price of a T-shirt is $24. What is the discount price?
2. If the regular price of an item is x dollars, what is the discount price in dollars?
3. The discount price of a hat is $14. What is the regular price?

Answers

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

x - 0.2x = 14

0.8x = 14

x = 14/0.8

x = $17.5

Graph (–4, 5), (2, 3), (–3, 0), (–4, –5), (–5, 2), and
(–5, 3) and connect the points to form a polygon.

Answers

Answer:

Detail attached

Step-by-step explanation:

Whitney works for Interchim Inc selling purification equipment. She earns a base salary of $2200 per month
plus 2.5% commission on all her sales. If Whitney was able to sell goods valued at $63,000, what was her total
income for the month? (commission plus salary!)
I NEED HELP

Answers

Answer:

$60745

Step-by-step explanation:

2,5÷100×2200

=55

55+2200

=2255

therefore 63000-2255

= $60 745

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