Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126, pls help me :(

Answers

Answer 1

Answer:

84

Step-by-step explanation:

Let the third term be x.

So, the numbers will be:

24, 36, x, 126

Since, all the four terms are in proportion.

Therefore,

[tex] \frac{24}{36} = \frac{x}{126} \\ \\ x = \frac{24 \times 126}{36} \\ \\ x = \frac{3,024}{36} \\ \\ x = 84[/tex]


Related Questions

hi
i need help!
please and thank you!

Answers

Answer: y=0.25

Step-by-step explanation: 1.2 / 4.8 = 0.25

Solve for the variable:
6f + 21 = -15

Answers

6f+21=-15

6f+21-21=-15-21

6f=-36

6f/6=-36/6

f=-6

Answer: f=-6

Step-by-step explanation:

Which statement about the quadratic function m(x) = -x2 + 11x - 28 is true?
A. Since m(x) =-(x - 4)(x + 7), the zeros for m(x) are 4 and -7.
B. Since m(x) = -(x - 4)(x - 7), the zeros for m(x) are 4 and 7.
C. Since m(x) = -(x + 4)(x + 7), the zeros for m(x) are -4 and -7.
D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.

Answers

Answer:

D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.

Step-by-step explanation:

Answer:

Step-by-step explanation:

So first you want to take the constants of -x^2 (which would be -1) and -28 and multiply them to get the product of 28.

Since the other constant of 11x is 11, you want to find 2 numbers whose sum give you 11 and whose product give you 28. That would be 4 and 7, because 4 + 7 = 11 and 4 * 7 = 28. But since you have -x^2 you will want to put a negative sign in front of one of your x variables and in front of 4 or 7, so that you still get 11x when you factor it out.

So you would set up the equation like this (-x+4)(x-7) = 0. To make it easier to find the values of x, you could just write it out as -x+4 = 0 and x-7 = 0. Than you solve for x in botn euqations.

Then you would find out that x = 4, 7.

Does this help?

7. Stanley measured his backyard to be 1500 inches long. How long is his backyard in yards?

Answers

I think that it’s 1500 inches to yards so divide by 36 which gives you 41.666667.
Hope this helps :)

Solving systems of equations mastery test

Answers

Answer:

Is there a question?

Step-by-step explanation:

brainliest for answer

Answers

Answer:

b=2f+6

b=2*9+6

b=18+6

b=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2 x 9 + 6 = 24

How many pounds of apples can be purchased for $12.50 if you can buy 16 pounds for $20?
Please answer

Answers

Answer: 10 pounds

Step-by-step explanation:

16      ?  

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

20     12.50

Step 1: 16x12.50= 200

Step 2: 200/20= 10

Solve the equation. Leave your answer as an improper fraction. Check your solution: -1/2=-5/18=h

Answers

Answer:

cant answer with two equal signs

Step-by-step explanation:

but if u mean

-1/2=-5/18+h that equals h=-2/9

and if u mean

-1/2+-5/8=h it equals h= -7/9

The diameter of the raw cookie is 2 1 2 inches. After baking the cookie, the diameter is 5 1 2 inches. By what factor does the cookie expand?

Answers

Answer:

[tex]Factor = 220 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2\frac{1}{2}[/tex]

[tex]Final = 5\frac{1}{2}[/tex]

Required

Determine the factor of increment

First, we calculate the percentage increment

[tex]\% Increment = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\% Increment = \frac{5\frac{1}{2} - 2\frac{1}{2}}{2\frac{1}{2}} * 100\%[/tex]

Express fractions as decimals

[tex]\% Increment = \frac{5.5 - 2.5}{2.5} * 100\%[/tex]

[tex]\% Increment = \frac{3}{2.5} * 100\%[/tex]

[tex]\% Increment = \frac{3* 100}{2.5} \%[/tex]

[tex]\% Increment = \frac{300}{2.5} \%[/tex]

[tex]\% Increment = 120 \%[/tex]

So, the factor of increment is:

[tex]Factor = 100\% + Increment[/tex]

[tex]Factor = 100\% + 120 \%[/tex]

[tex]Factor = 220 \%[/tex]

Find an equivalent expression 3(2d+2) + 2(2d+5)
PLSSSSS I need help

The options are
1.) 10d + 26
2.) -10d+ 26
3.) -10d-6
4.) 10d +16
5.) 10d - 4

thankyouuu

Answers

Answer:

10d+16

Step-by-step explanation:

=>3(2d+2)+2(2d+5)

=>6d+6+4d+10

=>10d+16

What is the answer? I really need it.

Answers

Answer:

B

Step-by-step explanation:

Divide 16x3 – 12x2 + 20x – 3 by 4x + 5.

Answers

Answer:

[tex]4x^2 - 8x + 15 - \frac{78}{4x+5}[/tex]

Step-by-step explanation:

To solve polynomial long division problems like these, it's helpful to build a long division table. Getting used to building these can make problems like this much simpler to solve.

Begin by looking at the first term of the cubic polynomial.

What would we have to multiply [tex]4x + 5[/tex] by to get an expression containing [tex]16x^3[/tex]? The answer is [tex]4x^2[/tex], since [tex](4x + 5) \times 4x^2 = 16x^2 + 20x[/tex].

This is the first step of our long division, and we write out the start of our long division table like this:

[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,16x^3 + 20x^2\\[/tex]

On the left is the divisor. On top is [tex]4x^2[/tex]. In the middle is the polynomial we are dividing, and on the bottom is the result of multiplying our divisor by

The next step is to subtract the bottom expression from the middle one, like so:

[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,0x^3 - 32x^2\\[/tex]

We are left with [tex]-32x^2[/tex]. The next thing to do is to add the next term of the polynomial we are dividing to the bottom line, like this:

[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\[/tex]

Now we return to the beginning of the instructions, and repeat the process: namely, what would we have to multiply [tex]4x + 5[/tex] by to get an expression containing [tex]-32x^2[/tex]? The answer is [tex]-8x[/tex], and we fill out our long division table like so:

[tex]{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,4x^2 - \,\,\,\,8x\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 - 40x\\[/tex]

Once again, we subtract the bottom expression from the one above it, and include the next term of the divisor, like so:

[tex]{ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+ 15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\[/tex]

And repeat. What do we multiply [tex]4x + 5[/tex] by to get an expression containing [tex]60x[/tex]? The answer is 15. Our completed long division table looks like this:[tex]{ }\qquad{ }\qquad{ }\quad{ }4x^2 - \,\,\,\,8x \,+15\\4x + 5\quad)\!\!\overline{\,\,\,16x^3 - 12x^2 + 20x - 3}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\underline{16x^3 + 20x^2}\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\, - 32x^2 + 20x\\{ }\qquad{ }\quad{ }\quad{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{- 32x^2 - 40x}\\{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\qquad{ }\,\,\,\,\,60x - 3\\{ }\qquad{ }\hspace{3cm}\,\,\underline{60x + 75}\\{ }\hspace{4.3cm}\,\,-78[/tex]

Now, the expression at the top,

[tex]4x^2 - 8x + 20x + 15[/tex]

is our quotient, and the last number, [tex]-78[/tex], is our remainder.

Hence we arrive at the solution of

[tex]\frac{16x^3-12x^2+20x-3}{4x+5} =4x^2 - 8x + 15 - \frac{78}{4x+5}.[/tex]

Need help super fast pls help

Answers

Answer:

My answer is 8

Step-by-step explanation:

I calculate the area of all the shapes and added them together

the square comes first = the formlula = a  to the power of 2  or just L x W =  2 x 2 = 4

The traingles - the formula = the height x base/2 2 x 2 /2 = 2  ( but there are two traingles so) 2 x 2 = 4

add the two shapes areas together = 4+4 = 8

Helpppppp me with number 5 pleaseeeeeeeeee

Answers

Answer:

16 laps

Since Cheyene ran 16 laps

32-16=16

Stormy ran 16 laps

#CarryOnLearning

16 laps because 32-16=16

What is the value of z?
117°

Answers

Hi I would love to help but the picture is black

how many factors does (2x+5) have

Answers

Answer:
three (3) factors

Explanation:
2, x and 5 are all factors.

hope this helps! <3

Veronica spent 3/4 hour reading each day for 7 days. In all, how much time did she spend reading?

Answers

Answer:

21/4 or 5 and 1/4 hours

Step-by-step explanation:

3/4 times 7 or 7/1

VIJWPLAYER
Which ordered air is a solution for the equation y = 4.5x?

A. (0, 4.5)
B. (4.5, 1)
C. (2.9)
D. (18,4)

Answers

B because it I just know it’s right

what is the slope of (4,8) and (10,7)

Answers

Answer:

The answer is -1 / 6

Step-by-step explanation:

use the formula y2 - y1 / x2 - x1 = m

7 - 8 / 10 - 4 = -1 / 6

The slope of (4,8) and. (10,7)

A:-1/6

Mason bought c chocolates. Cameron bought 20 times as many chocolates as Mason. Write an expression that shows how many chocolates Cameron bought.

Answers

Answer:

20c

Step-by-step explanation:

C represent the chocolate Mason brought. Cameron brought 20 times as many chocolates. This means that however many chocolates Mason brought, Cameron has 20 times more than what Mason brought. So meaning we can this equation as

[tex]20c[/tex]

yesterday, Lin spent 6 7/8 hours doing homework. Morrie did homework for 4/5 the amount of time that Lin did. How many hours did Morrie spend dong homework?
please tell me how you got the answer. thanks!
Answer:
A. 6
B. 6 1/2
C. 5 1/2
D. 7

Answers

Maybe d idont know check it

Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?

Answers

she can walk 24 miles in 3 hours

Answer:

24 miles

Step-by-step explanation:

3 hours = 180 minutes

[tex]\frac{4}{y}: \frac{30}{180}[/tex]

y × 30 = 4 × 180

30y = 720

30y ÷ 30 = 720 ÷ 30

y = 24

what is the volume of a sphere with a radius of "60.5" Ft, Rounded to the nearest tenth of a cubic foot?​

Answers

Answer:

[tex]volume = 927,587.2ft^3[/tex]

Step-by-step explanation:

The equation to find the volume of a sphere is as follows:

[tex]volume = \frac{4}{3}\pi r^3[/tex]

We have a radius of 60.5ft, let's plug this into the equation and solve:

[tex]volume = \frac{4}{3} \pi (60.5)^3 \\volume = 927,587.17\\volume = 927,587.2[/tex]

Therefore, the volume of a sphere with a radius of 60.5ft is 927,587.2ft^3.

Hope this helps!!

- Kay :)

Volume of the sphere is 927587.2 cubic feet (nearest tenth).

What is Volume of the sphere?

"A sphere is a set of points in space that are a given distance r from the center. The volume of a 3 -dimensional solid is the amount of space it occupies."

Formula to find the volume of a sphere

Volume of the sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

V = [tex]\frac{4}{3} \pi (60.5)^{3}[/tex]

V = 927,587.167

Using calculator, we get

V ≅ 927587.2 cubic feet

Hence, Volume of the sphere is 927587.2 cubic feet (nearest tenth).

Learn more about volume of a sphere here

https://brainly.com/question/9994313

#SPJ2

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent

Answers

Answer:

9100.09

Step-by-step explanation:

i did the math so this is it

need help pls and thank you

Answers

Answer:

y=25x

Step-by-step explanation:

It is a linear equation with a slope of 25

Solve & check. Help with proportion homework problem

Answers

Answer:

x = 22

Step-by-step explanation:

We need to find the value of x for the given equation.

[tex]\dfrac{\dfrac{1}{5}}{\dfrac{1}{11}}=\dfrac{x}{10}\\\\\dfrac{1}{5}\times 11=\dfrac{x}{10}[/tex]

Cross multiplying both sides,

[tex]11\times 10=5x\\\\x=\dfrac{11\times 10}{5}\\\\x=11\times 2\\\\x=22[/tex]

So, the value of x is equal to 22.

What is the absolute value of l-14l

Answers

The absolute value of |-14| is 14

Answer:

14

Step-by-step explanation:

so it means the opposite of negative 14 which is postive 14

Janice attempted to shoot 42 free throws with a basketball. She made 35 of the free throws. Based on those results what would you estimate the probability to be that she makes the next free throw?
A) .5333
B) .6333
C) .7333
D) .8333

Answers

Answer:

Probability = 0.8333...

Step-by-step explanation:

Based on the data, the probability is :

P = number of successes/number of possible outcomes

P = 35 /32 = 0.8333...

which agrees with answer D) in your list

A triangle PQR has coordinates (1, 3), (5, 1) and (3, k) respectively in an
anticlockwise direction).
Find the value of k if the triangle's area is 6 units?​

Answers

Answer:

k=5

Step-by-step explanation:

steps in attachment

one less then four times a number is equal to 9 more then six times the number

Answers

Answer:

-5

Step-by-step explanation:

4x - 1 = 6x + 9

4x = 6x + 10

-2x = 10

x = -5

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