the sum of three numbers is 20
the first is 4 times the sum of the other two
the second is seven times the third
what is the product of all three

Answers

Answer 1

Answer:

A*B*C= 28

Step-by-step explanation:

A+B+C=20

1. A = 4(B+C)

2. B = 7C

3. C = C

----------------------

1.

A = 4( 7C + C )

A=4(8C)

A= 32C

---------------------

A+B+C=20

32C + 7C + C = 20

40C = 20

C = 20/40

C = 1/2

------------------------

A= 32(1/2) = 32/2 = 16

B= 7(1/2) = 7/2

C= 1/2

A*B*C = 16 * 7/2 * 1/2

A*B*C=  28

             


Related Questions

John has 3 fewer dimes than quarters. He has twice as many nickels as quarters. Altogether he
has $6.45, how many of each coin does he have?

Answers

You gotta divide $6.45 and 3 together to find the answer

Is this correct? 3.81 estimated to a whole number is 4.

Answers

Answer:

yes it is correct

Step-by-step explanation:

Answer: Yes You are correct!

Step-by-step explanation:

If a number in the tenths place is greater than or equal to 5 then we round up. Ex: 1.90 would round to 2

If a number in the tenths place is less than or equal to 4 then we round down. Ex: 1.19 would round to 1

Since 8 is in the tenths place we round up. 3.81 would be 4 rounded to the nearest whole number.

You are correct

the parking garage charges an initial fee of 5$. Then they charge $10.50 per hour parked. You had to pay $68. How many hours did you park

Answers

6 hours.
If you subtract 5 from 68, you'd end up with 63 which then you can divide
63/10.5 = 6

The equation for the given situation is 5+10.50x=68.

Given that, the parking garage charges an initial fee of 5$.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of hours be x.

Garage charge $10.50 per hour parked. You had to pay $68.

So, equation is 5+10.50x=68

Therefore, the equation for the given situation is 5+10.50x=68.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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PLEASE HELP DUE TMR. You don’t have to answer them all only 4 out of 6 PLEASE I BEG YOU HELP

Answers

Answer:

Step-by-step explanation:

joe mama

resolve the factor a ^ 4 - 7a ^ 2 * b ^ 2 + b ^ 4​

Answers

A^4 b^2-7a^2+b^6/b^2

If P = (-3,5), find the image
of P under the following rotation.
270° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.
Enter

Answers

I believe the answer is 3,5 if you are going counterclockwise

Answer:

(5,3)

Step-by-step explanation:

(10, y) and (3, 4); m = - 2/7​

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{4-y}{3-10} = -\frac{2}{7}\\\\\frac{4-y}{-7} = -\frac{2}{7}\\\\4-y = -\frac{2}{7} * -7\\\\4-y = 2\\\\y = 4-2\\\\y = 2[/tex]

Feel free to mark this as brainliest! :D

PLEASE I NEED HELP!!!! ​

Answers

Answer:

x < 4

Step-by-step explanation:

The dotted line  is x = 4

The shaded area is below x = 4.

So, x <4

If (x+3)(x-5)=x^2 +mx-15, the value of m is...?
Pls explain the answer, thx!

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let's solve :

first step : we have to expand the term in L.H.S

[tex](x + 3)(x - 5)[/tex][tex] {x}^{2} - 5x + 3x - 15[/tex][tex] {x}^{2} - 2x - 15[/tex]

now, let's equate the equations to find the value of m :

[tex] {x}^{2} - 2x - 15 = {x}^{2} + mx - 15[/tex]

value of m = -2

The value and the answer is m = -2

The point (-3, 9) is in the ____
quadrant

Answers

Answer:

II

Step-by-step explanation:

Answer:

I believe it is in the first quadrant.

Step-by-step explanation:

if you start in the negative x postitive y quadrant and go clockwise it would be the first one.

Which situation best represents the relationship between x and y
presented in the graph?

Ally made 15 pancakes at a rate of 6 pancakes per
minute.

An elevator starts on floor 6 and ascends at a rate of
1 floor per second.

Andrew has $6 to spend at the arcade. He spends $1
per game he plays.

O 1 inch of rain falls every hour for 6 hours.

Answers

Pancakes = 2.5

Elevator is only going up so 1/0

Game is the same as elevator

If hours is x than 1/6 if you is hours 6/1

QUICK QUESTION: is this right?

Answers

Answer:

C3H8 + 5O2 → 3CO2 + 4H2O

Step-by-step explanation:

Propane + Dioxygen = Carbon Dioxide + Water

Reaction Type

Combustion

There were 56 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 3/7 of the remaining runners dropped out. How many runners finish the race?

Answers

Answer:

24 runners

Step-by-step explanation:

If 1/4 of the runners dropped out, then 1 - 1/4 or 3/4 continued on. 3/4 of 56 or 3/4 *56 is 42 runners left. Then, out of these 42, 3/7 dropped out. This means 1 - 3/7 or 4/7 of the runners remained. This means that 4/7 * 42 or 24 runners finished the race.

I am horrible at percentages, help (NO LINKS)​

Answers

Answer:

4.86

% I think I may be wrong tho.

A rectangular garden is 14 feet wide and 48 feet long.
If you stand in one corner of the garden, how many feet
away is the corner diagonally across from you?

Answers

Answer: 50 feet

Step-by-step explanation:

Since it is a rectangle and you in the corner diagonally; you can draw a line diagonally across in the rectangle and you are left with two triangles.

So since its two right-angled triangles

a = 14 feet

b = 48 feet

You need to find c which is the diagonal.

Using the pythagorean theorem which is:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 14^{2} + 48^{2}[/tex]

Square the a and b then add

[tex]c^{2} = 136 + 2304[/tex]

[tex]c^{2} = 2500[/tex]

Now carry over the square on the c and change it to the square root

[tex]c = \sqrt{2500}[/tex]

when you square root

[tex]c = 50[/tex]

therefore it is 50 feet diagonally across

Simplify using positive exponents.

Please and thank you!

Answers

Answer:

B

Step-by-step explanation:

[tex](a^{m})^{n}=a^{m*n}\\\\\\(4^{-4})^{2}=4^{-4*2}=4^{-8} =\dfrac{1}{4^{8}}[/tex]

[tex]a^{-m}=\dfrac{1}{a^{m}}[/tex]

help me with this please

Answers

You have to move the decimal back two place in order to get a number between 1-10. So 6.55 X 10^-2

PLEASE PLEASE HELP LIKE RIGHT NOW PLEASE :’)


Marco owed his father $150 and began paying him back $20 at the end of
each week, beginning November 1. Joni owed her father $130 and began
paying him back $15 at the end of each week, beginning on the same
day. What Marco owed his father in dollars at the end of n weeks can be
represented by f(n) = 150 - 20n. What Joni owed her father in dollars at the
-
end of n weeks can be represented by g(n) = 130 - 15n.
Find the value of n for which f(n) = g(n). What does that value mean in this
situation?

Answers

Answer:

The important clue here is when they say both The girls owe the same amount so what they mean is equate both the functions  

 

so we get

 

150 - 20n = 130 - 15n

 

 

Now n gives us the number of weeks so solve for n

 

20n - 15n = 150 - 130

 

5n = 20

 

n = 4

 

Now check your solution  

 

150-20(4) = 70

 

130 - 15(4) = 70

 

So our answer checks out after 4 weeks both girls who their dads the same amount of money .

Step-by-step explanation:

Answer:

can you help me with mine

Step-by-step explanation:

my is : 3,5,8,12 is it Arithmetic geometric or neither ?

Someone plz help me :(

Answers

The answer is A on the x axis.

(-3, 0) means you move to the left to negative 3. Then go 0 up and down. So the point would still be on the x axis.

Can somebody explain to me how to solve system of equations by substitution? I have an example as well. (-y=3x+4) (4y=x-1)

Answers

Step 1: Solve for one of the equations for either variable.

Step 2: Substitute the expression from Step 1 into the other equation.

Step 3: Solve the resulting equation.

Step 4: Substitute the solution in Step 3 into one of the original equations to find the other variable.

Step 5: Write the solution as an ordered pair.

Step 6: Check that the ordered pair is a solution to both original equations.

Will give brainliest for the correct answer!!!
at the beginning of summer, a maintenance crew refills a swimming pool at a city part. the relationship between the time in hours to fill the pool and the amount of water in the pool is proportional.
after 4 hours, the pool holds 5,200 gallons of water. b. the same crew refills a second pool as represented by the graph shown. is the second pool filled at a faster or slower rate than the first pool? explain.

Answers

Step-by-step explanation:

first pool :

in 4 hours the pool gets 5200 gallons.

that means in 1 hour it gets 5200/4 = 1300 gallons.

so, the filing rate is 1300 gallons / hour.

second pool :

we seen on the graph that

in 3 hours the pool gets 10800 gallons.

that means in 1 hour it gets 10800/3 = 3600 gallons.

so, the filing rate is 3600 gallons / hour.

therefore, the second pool fills at a much faster rate than the first pool (3600 gallons vs. 1300 gallons / hour).

–0.28 − 10y = –8.3y + 6.01 how do u get y im so confused

Answers

Answer:

-y=3,7

Step-by-step expl

Explain the error in Julie’s work in rewriting the radical expression.

Answers

Answer:

The negative numbers do not have square roots. Therefore the question does not have a solution. That is where Julie made a mistake.

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

First, let's take a look at this property:

[tex] \displaystyle \large{ \sqrt{a} \sqrt{b} = \sqrt{ab} }[/tex]

This only works for a and b ≥ 0.

As for a & b < 0 which results in Imaginary Number, we have to convert in 'i' form.

We know that:-

[tex] \displaystyle \large{ i = \sqrt{ - 1} }[/tex]

Thus:

[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{3} i \cdot \sqrt{12}i }[/tex]

Then we can multiply 12 & 3 in square root.

[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{36} {i}^{2} }[/tex]

We know that:

[tex] \displaystyle \large{ {i}^{2} = - 1}[/tex]

Convert i^2 to -1

[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = \sqrt{36}( - 1) } \\ \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = - \sqrt{36}}[/tex]

Then evaluate √36 which is 6.

[tex] \displaystyle \large{ \sqrt{ - 3} \cdot \sqrt{ - 12} = - 6}[/tex]

Therefore the answer should be -6.

Conclusion

Julie cannot use the √a√b = √ab property first because a & b both are < 0 and the property applies for a ≥ 0, b ≥ 0.

Plot the point (1.5, −3) on the coordinate plane.

Answers

Answer:

that it

Step-by-step explanation:

The Plot of the point (1.5, −3) on the coordinate plane is represented by Red dot in the attached graph.

How can we perceive cartesian coordinate plane?

The cartesian coordinate plane is an infinite 2 dimensional plane. Any 2 dimensional figure can be drawn on an infinite 2d plane. Each of the point of a cartesian plane is tracked by a location.

The cartesian coordinate plane is the perpendicular distance of that point from the horizontal axis and vertical axis, usually named x-axis and y-axis. The location is written as; (a,b), where 'a' is that point's shortest distance from the y-axis and called x-coordinate of that point, and 'b' is that point's shortest distance from the x-axis, and called y-coordinate of that point.

Given

Point: (1.5, −3)

Required to Plot the point (1.5, −3) on the coordinate plane.

The points can be rewritten as:

x --- f(x)

1 ---- 1

2 --- 2.5

3 ---- 6.25

The data under the x column are the domain of the function.

The Plot of the point (1.5, −3) on the coordinate plane is represented by Red dot in the attached graph.

Learn more about locating points here:

https://brainly.com/question/24198263

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A green bottle holds 8 35 ounces of water. A bluebottle holds 8 67 ounces of water. Write an inequality that compares the fractions and explain which bottle holds more.
PLEASE ANSWER THIS ASSSAAAPPP!!

Answers

Answer:

Blue bottle holds more.

Step-by-step explanation:

Given:

Green Bottle = 8 3/5 = 43/5

Blue Bottle = 8 6/7 = 62/7

Now:

we can write 43/45 as;

43/5 x 7/7 = 301/35     (1)

similarly, 62/7 = 62/7 x 5/5 = 310/35   (2)

Comparing both (1) and (2),

301/35 < 310/35

:. (301 < 310)

Hence,

Blue Bottle will hold more.

HELPPPPP!!!! WILL MARK BRAINLIEST!!!!!!

Answers

(Points plotted and connected in picture below)

Slope: 9

The slope represents the total cost depending on the number of DVDs ordered.

Y-intercept: 6


PLEASE HELP IT’S DUE TMR

Answers

Answer:

a) 12:12 simplified version is 1:1

b) 5:12:12 cannot be simplified

c) 12:5:12 cannot be simplified

d) 0.50:3.00:0.60

Step-by-step explanation:

help ???? thank youuuuu

Answers

o b.They are congruent ✓

In an auditorium, there are 104 rows with 24 in each row, How many seats are available?

Answers

Answer: 2,496 seats

Explained: If there are 104 rows with 24 seats in EACH row, we must multiply to find the answer. Which is 104 x 24 = 2,496

Hope this helps you out! : )

Answer:

2496

Step-by-step explanation:

104 x 24

Find the angle
25 points for you plus a thanks, brainliest and 5 star

Answers

Answer:

36.656

Step-by-step explanation:

Calculate using trigonometry, Calculator may be required

Ok, so it's actually pretty easy

First of all, we know that all triangles' angles add up to 180 degrees

Here we can tell that we have one 90 degree angle and another 45 degree angle

Now, we can subtract both of these angles to then finalize that, the missing angle is equal to 45 degrees

Hope this helps :)

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