Faucet A flows at a rate of 100 liters per 5 minutes and Faucet B flows at a rate of 100 liters per 4 minutes into an empty pool. How many minutes do the two faucets take to fill a pool with 9,000 liters of water?

Answer:

[tex](k+9)(k-9)[/tex]

Step-by-step explanation:

[tex]k^2-81[/tex]

[tex]k^2-9^2[/tex]

Apply the difference of squares formula: [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

Thus, [tex]k^2-9^2=\left(k+9\right)\left(k-9\right)[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{-4d^{2}+15d^{2}}{5}=\frac {11d^{2}}{5}\\\\=\frac{11*1^{2}}{5}\\\\=\frac{11}{5}\\\\=2\frac{1}{5}[/tex]

Answer:

option 4) -18x = 12x-20

Step-by-step explanation:

Answer:

x = 3

y = 2

Step-by-step explanation:

Answer:addition property of equality, combine like terms, distributive property and division property of equality.

Step-by-step explanation: I took the test

Answer:

Common Denominator 10: 5-7/10 and 3/2-4/5

Common Denominator 12: -3/4 + (-2/3) and 7/6 + (-5/12)

Common Denominator 24: 1/8-5/3 and 13/24+7/12

Hopefully This Helps You :)

Answer:

Common Denominator 10:    5-7/10          and              3/2-4/5

Common Denominator 12:    -3/4 + (-2/3)     and     7/6 + (-5/12)

Common Denominator 24:    1/8-5/3        and         13/24+7/12

Step-by-step explanation:

x = # of days.

1.5x = 47.075

Divide both sides by 1.5

x = 31.38 days

Answer:

X × 2 - 6

Step-by-step explanation:

"Twice a number" means that it needs to be multiplied by two and "6 less than" means you need to subtract 6 at the end.

Answer:

Hey there!

6x+1+3=8x+1

6x+4=8x+1

6x+3=8x

3=2x

x=1.5

6(1.5)+1

10

SR is 10 units long.

Let me know if this helps :)

Answer:

are or rectangle = l*b

252= (x+2) (2x+1)

252= 2x²+x+ 4x +2

2x²+5x -250=0

(x-10) (2x+25)=0

so x=10

using sum and product method

Step-by-step explanation:

Answer:

11/4 or 2 3/4

Step-by-step explanation:

add numerators keep the same denominator

Answer: 2.75

8/4+3/4

this will give you 2.75 hope this helped

(let me know if it did)

Answer:

56

Step-by-step explanation

Answer:

I believe it is C

Step-by-step explanation:

First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.

We know that we can cross multiply in a proportion

[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]

0.375x = 24

x = 64

round to tens

60

The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

A proportion is an equation in which two ratios are set equal to each other.

Now, it is given that,

12 such cupcakes requires ⅜ of a cup of cocoa

So ratio, cup of cocoa : cupcakes = ⅜ : 12

⇒  cup of cocoa / cupcakes = ⅜ / 12

Now, let x be  the number of cupcakes that he could make if he has 2 cups of cocoa

So ratio,cups of cocoa : number of cupcakes = 2 : x

Hence,By proportionality we get,

cup of cocoa : cupcakes = cup of cocoa : cupcakes

⅜ : 12 = 2 : x

⅜ / 12 = 2 / x

⇒ 0.375/12 = 2 / x

⇒ x = (2x12)/0.375

⇒ x = 24/0.375

⇒ x = 64

hence it is closest  to the number 60.

So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.

More about proportion :

https://brainly.com/question/27960888

#SPJ2

Answer:

x=-1.68

Step-by-step explanation:

5x + 34 = 2(1 -7x)

5x+34=2-14x

5x+14x=2-34

19x=-32

x=1.68

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides

9/5 F + 67 = N

Hope this helped

Answer:

x = 2

Step-by-step explanation:

instructions above :)

Let s be Jim's Sister's age now

s = 2x

Answer:

26

Step-by-step explanation:

APPLY PEMDAS:

Evaluate the numbers in the parentheses before evaluating the whole equation.

[tex](9+33-6)-3-7\\\\36 - 3 -7\\\\33-7\\\\\boxed{26}[/tex]

Hope this helps.

xy = -2

(-3)(2/3) = -2

-2 = -2 TRUE

x + 3y = -1

-3 + 3(2/3) = -1

-3 + 2 = -1

-1 = -1 TRUE

x + z = 4

-3 + z = 4

z = 7 NEITHER

9y = -2x

9(2/3) = -2(-3)

6 = 6 TRUE

y/x = -2

(2/3)/(-3) = -2

-0.22... = -2 FALSE

-2/x / y = -1

-2/-3 / 2/3 = -1

2/3 / 2/3 = -1

1 = -1 FALSE

Best of Luck!

Answer:

A. xy = -2 - true

B. x + 3y = -1 - false doesn't equal -1 it equals -2

C. x + z = 4 - neither because z

D. 9y = -2x - false because it equals  -6

E. y/x = -2 - false because it equals -.2222222

F. -2/x / y = -1  - false it equals positive 1

Answer:

4 km

Step-by-step explanation:

T = time

D = distance

S = speed

the forumla to find the distance is

T * S = D

manipulate the equation for this problem:

D/S = T

Plug-in the known values

D = 12.5 km

S = 50kph

12.5km/50kph

cancel units and simplify

4 km

Answer:

Step-by-step explanation:

2 + 4 > 8

6 > 8

not true

Answer:

[tex] y = \frac{ - 4}{5} x + 7[/tex]

Answer:

36 miles per gallon of gas

Step-by-step explanation:

Answer:

36 miles per gallon

Step-by-step explanation:

if she drove 216 miles and used 6 gallons of gas then you would divide 216/6=36. so the answer is 36 miles per gallon

Answer:

[tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

[tex]\frac{-10}{12} ,\frac{-5}{6}[/tex]

Step-by-step explanation:

Start with:

[tex]\frac{-2}{3}[/tex] × [tex]\frac{5}{4}[/tex]

Multiply your numerators.

[tex](-2)(5)=-10[/tex]

Now, multiply your denominators.

[tex](3)(4)=12[/tex]

Let's transfer those numbers into a fraction.

[tex]\frac{-10}{12}[/tex]

You may need to simplify.

Divide by the greatest common factor. In this case, that would be [tex]2[/tex].

[tex]-10[/tex] ÷ [tex]2=-5[/tex]

[tex]12[/tex] ÷ [tex]2=6[/tex]

Put those numbers back into the fraction.

[tex]\frac{-5}{6}[/tex]

Answer:

The expression is (x + 4) yards where x yards represent the initial amount of yards had by tre team

Step-by-step explanation:

In this question, we are told to write an expression which can be used to describe the total yard gained by the team.

Now, before we can write an expression showing the yard gained by the team, we need a variable that will represent the amount of yard they had initially.

Let us represent this by x yard.

By gaining 12 yards in the first play, total amount of yards now become x + 12 yards

Now in the second play, they lost 8 yards and this translates to (x + 12)-8 = (x + 4) yards

Answer: 7 feet

Step-by-step explanation:

Since all 4 sides of a square are equal, you do 28 / 4 = 7 feet, which is the answer.

Answer:

d

Step-by-step explanation:

Answer:

Rational numbers is the correct answer for this.

Step-by-step explanation:

Rational numbers is the best and correct answer.

Answer:

the answer is 48

Step-by-step explanation:

Answer:

B. The graph has no y-intercepts

Step-by-step explanation:

We see that we have vertical and horizontal asymptotes.

We also see that the right side of the graph has an x-intercept of (2, 0).

Therefore, A and D are incorrect.

We use the vertical asymptote x = 0 to get our answer B, as we will never cross the y-axis as x approaches negative and positive infinity.