A 40-foot pipe is cut into three sections. The longest section is three times as long as the shortest, and the middle-sized section is 5 feet longer than the shortest. Complete the diagram
by giving a and b as expressions involving x. Do not solve the problem.
P = 40 ft
12
X
b
21
X
P
1
a
Length of
middle-sized
Length of
shortest
section
Length of
longest
section
section

Answer:

108 women

Step-by-step explanation:

add the parts of the ratio together

5 + 4 = 9

divide the total number of employees by 9

243/9 = 27

now multiply the parts of the ratio by 27.

5 X 27 = 135

4 X 27 = 108

Answer:

36

Step-by-step explanation:

You have to split it into 3 different sections,

multiply base times height and

all the answers you got.

Answer:

36

Step-by-step explanation

the top box is 6x4

the connecting box is 3x2

the bottom box is 6x1

6x4=24

3x2=6

6x1=6

24+6+6=36

Area=36

Answer:

(x+1)(2x+5)

Step-by-step explanation:

f(x) = 2x² + 7x + 5

Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.

a+b=7

ab=2×5=10

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.

1,10

2,5

Calculate the sum for each pair.

1+10=11

2+5=7

The solution is the pair that gives sum 7.

a=2

b=5

2x²+7x+5 as (2x²+2x)+(5x+5).

(2x²+2x)+(5x+5)

Factor out 2x in the first and 5 in the second group.

2x(x+1)+5(x+1)

Factor out common term x+1 by using distributive property.

(x+1)(2x+5)

Answer:

I'm thinking it's A or C

Step-by-step explanation:

I'm sorry I can't decide ;-;

Answer:

The 4th answer.

Step-by-step explanation:

It has the equivalence that each point will be substracted 5 from y and 20 from x, but it won't change the line of the result. Sure, the position, but not the line.

Answer:

2352

Step-by-step explanation:

(100 - 2) x 24 = 2400 - 48 = 2352

Answer:

A) 18

Step-by-step explanation:

add 46 and 26, you get 72

now, subtract 72 from 90 and what do you get?

........ not gonna tell me huh? XDD

you get 18, right???

to make sure you calculated correctly, add everything together

   46 + 26 + 18 = 90!!!

yay! so from what ive just showed you, what can you determine???

that 18 of the movies are science fiction.

Good luck and I hope this helped, if so... would you please mark me as brainliest?? Thanks!!

Answer:

460

Step-by-step explanation:

5%(calculated %)of what number equals 23?

Answer is 460

I hope it's helpful!

460 is the answer of the question

Before you read this!! To me, it looks like 8 is the entire length of lineJL, but it may only be the length of lineJM. I've written the steps for lineJL=8 NOT lineJM=8. If this is not the case and 8 is only the length of lineJM let me know so I can fix my answer!

Step-by-step explanation:

The area of a triangle is A=1/2(b)(h)

B=base

H=height

Your height is found in the line in the middle of the triangle, for you it is 6.

The base is the long bottom line on the triangle (lineJL), for you it is 8.

So let's put it in.

A=1/2(8)(6)

A=24sq units (C)

Answer:

Jack needs 6 hours and Jill needs 3 hours.

Step-by-step explanation:

Let's define the variables:

X  = rate at which Jack can write a holiday card.

Y = rate at which Jill can write a holiday card.

Each of them will need a given time to write a card, such that:

X*T = 1 card

We know that Jack needs 3 more hours to write a card than Jill, then Jill needs 3 hours less than Jack, so if Jack needs T hours, Jill will need T - 3 hours

Then we have the equation:

Y*(T - 3 hr) = 1 card

And we also know that when they work together, they need 2 hours, then:

(X + Y)*2 hr = 1 card.

So we have 3 equations:

X*T = 1 card

Y*(T - 3 hr) = 1 card

(X + Y)*2 hr = 1 card.

Now let's ignore the card part just for the equations, then we get:

X*T = 1

Y*(T - 3 hr) = 1

(X + Y)*2 hr = 1

To solve it, we first need to isolate one variable in one of the equations, let's isolate T in the first equation, we get:

T = 1/X

Now we can replace this in the second equation to get:

Y*((1/X) - 3hr) = 1

So now we have two equations:

(X + Y)*2 hr = 1

Y*((1/X) - 3hr) = 1

We need to do the same, isolate one variable in one of the equations, let's isolate Y in the above one:

Y*2hr = 1 - X*2hr

Y = (1 - X*2hr)/2hr

Now we can replace this in the other equation to get:

((1 - X)/2hr)*((1/X) - 3hr) = 1

Now we can solve this for X:

((1 - X)/2hr)*((1/X) - 3hr) = 1

(1 - X)*((1/X) - 3hr) = 2 hr

1/X - 3hr - X*2hr/X + X*2hr*3hr = 2hr

1/X - 3hr - 2hr + X*6hr^2 = 2hr

1/X + X*6hr^2 = 2hr + 3 hr + 2 hr = 7hr

1/X + X*6hr^2 = 7hr

Now we can multiply all by X to get:

X/X + X*(X*6hr^2) = 7hr*X

Now we have the quadratic equation:

(6hr^2)*X^2 - (7hr)*X + 1 = 0

We can find the solutions of this equation if we use the Bhaskara's formula, the solutions are:

[tex]X = \frac{-(-7hr) +- \sqrt{(-7hr)^2 - 4*(6hr^2)*1} }{2*6hr^2} = \frac{7hr +- 5hr}{12 hr^2}[/tex]

Then we have two solutions:

X = (7hr + 5hr)/12hr = 1 hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.167 card/hr

Then Jill's rate will be:

Y = (1 - X*2hr)/2hr = (1 - 1card/hr*2hr)/2hr = -0.5 card/hr

So we have a negative rate, this makes no sense, so we can discard this option. The other solution for X is:

X = (7hr - 5hr)/12hr = 0.166... hr^-1

And this is the rate at which Jack writes a card, so the actual units are:

X =  0.166... card/hr

If we have this, then the rate for Jill will be:

Y = Y = (1 - X*2hr)/2hr = (1 - 0.167card/hr*2hr)/2hr = 0.333 card/hr

Then we have:

X = 0.167 card/hr

If we use the first equation, we get:

(0.166... card/hr)*T = 1 card

T = 1 card/((0.166... card/hr)) =  6 hours

Then Jack needs 6 hours to write a card.

And we know that Jill needs 3 hours less than that, then Jill needs 3 hours.

Answer:

c: 38 cm

Step-by-step explanation:

I hope it's not too late

Answer:

The area is 32cm

Step-by-step explanation:

Area  = length x width

Area = 4 x 8 = 32

Answer: [tex]384cm^2[/tex]

Step-by-step explanation:

Volume is base* height

the base a the circle

area of a circle: [tex]\pi r^2[/tex]

the radius is 1/2 of the diameter, so it's 4

[tex]3*(4^2)=\\3*16= 48[/tex]

To find the volume I multiplied it by 8 (height)

[tex]48*8=384[/tex]

Answer:

Step-by-step explanation:

g=800(0.35)=280

a. 280/800=7/25

b. 520/800=13/20

Answer:

Unrefined

Step-by-step explanation:

If the line is straight, that means it's undefined

Answer:

Soru gözükmüyor. Okulda kaç öğrenci var? Bunu söylersen çözebilirim.☺️

Answer:

No

Step-by-step explanation:

2x-3y= 6xy

Answer:

Step-by-step explanation:

2 meters = 200 cm

200 cm × (1 block)/(50 cm) = 4 blocks

4 blocks by 4 blocks = 16 blocks

Answer:

16 paving stones

Step-by-step explanation:

1 m = 100 cm

The square has sides 200 cm long

Its area is 200(200) = 40000 sq cm

Each paving stone has an area of 50(50) = 2500 sq cm

So 40000/2500 = 16 paving stones

Answer:

18.01 gallons

Step-by-step explanation:

14.41

3.6

=18.01

Answer:

Step-by-step explanation:

area of blue triangle = 0.5×8×3 = 12 cm²

area of A = 5×12 = 60 cm²

area of C = area of A

area of B = 8×12 = 96 cm²

total surface area = 2×12 + 2×60 + 96 = 240 cm²

Answer:

240cm²

Step-by-step explanation:

Answer:

x=38

Step-by-step explanation:

hope this helps!

if angles are on a line like that, both equations added up together will always be equal to 180.

like this:

2x-10+3x = 180

5x-10=180 (combine)

5x=190 (subtract 10 on both sides)

x=38 (divide both sides by 5)

Step-by-step explanation:

1 in 3 chance of getting an A in Chemistry

Answer:

Kendall is 24 and Jamal is 15.

Step-by-step explanation:

39 - 9 = 30

30 ÷ 2 = 15

15 is Jamal's age.

15 + 9 = 24

24 is Kendall's age.

Hey there!

To find the value of x in an equation, you have to solve for x.

Example

Given: 3x - 9 = 0

First, add 9 to both sides:

3x = 9

Then, divide both sides by 3

x = 3

Have a terrifcly amazing day!

Answer:

the minimum work he can do to complete it in 3 days is 1/3.

So he should do at least 1/3 of the work each day to complete it on time.

Answer = 1/3

Step-by-step explanation:

Let us assume that the number is X

According to the statement:

2✓x = 12

Divide both sides by 2;

✓2 = 6

Square both sides,

x² = 6²

X = 36

Hence the required number is 36.