Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.

Answer:

x² + 10x - 24

Step-by-step explanation:

Given the roots are x = - 12 and x = 2 then the corresponding factors are

(x + 12) and (x - 2) and their product equals zero , that is

(x + 12)(x - 2) = 0 ← expand using FOIL

X² + 10X - 24 = 0

Answer:

9

Step-by-step explanation:

show your work and answer

Answer:

(8, -15)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]

where [tex](x_1,y_1)[/tex] is the first point (T) and [tex](x_2,y_2)[/tex] is the second point (S)

Step 1. plug in what we have so far into the midpoint formula

[tex](\frac{0+x_2}{2} ,\frac{5+y_2}{2} )[/tex]

but remember, the midpoint is (4, -5)

Step 2. solve for point (S)

The first coordinate of point (S) is the x-coordinate. And to solve for the x-coordinate, (since they're being divided by 2) multiply 2 by 4 (the x-coordinate of the midpoint)

[tex](\frac{0+8}{2},\frac{5+y_2}{2})[/tex]

... (hard to explain for the y-coordinate of point (S))

Point S = [tex](8,-15)[/tex]

Answer:

add two tiles per figure until u get to eight.

Step-by-step explanation:

Answer:

its 10 trust me

Step-by-step explanation:

Answer:

y²+y-56=0

56=8×7

8-7=1

(y+8)×(y-7)=0

y=7

or

y=-8

so its 7,-8

Answer:

y = -8, 7.

Step-by-step explanation:

y^2 +9y+2=8y+58

y^2 + 9y + 2 - 8y - 58 = 0

y^2 + y - 56 = 0

(y - 7)(y + 8) = 0

y = -8, 7.

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.

I hope this helps :). If you have any questions let me know. Have a good day.

Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.

The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

Step-by-step explanation:

Given expression:

Evaluating the value of this expression if y = 8, z = 6, x = 2:

Answer: 2.71

Explanation: You would simplify the expression.

Step-by-step explanation:

Area of triangle=1/2 × base × altitude

base=7/2 ft

altitude=8/5ft

Subtitute values in formula:

Area=1/2*7/2*8/5 square.ft

Area=56/20 square.ft

Note:if you need to ask any question please let me know.

Answer:

f(x-4)-3

Step-by-step explanation:

- inside brackets moves right, + moves left

+ outside brackets moves up, - moves down

[tex] \frac{1}{ \frac{1}{3}x - 2 } + 5 = \frac{a}{x - 6} + 5 \\ \\ \frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } + 5 - 5 \\ \\\frac{a}{x - 6} = \frac{1}{ \frac{1}{3}x - 2 } \\ \\ a \: (\frac{1}{3}x - 2) = x - 6 \\ \\ a = \frac{x - 6}{\frac{1}{3}x - 2} \\ \\ a = \frac{x - 6}{ \frac{x - 6}{3} } \\ \\ a = (x - 6) \div \frac{x - 6}{3} \\ \\ a = (x - 6) \times ( \frac{3}{x - 6} ) \\ \\ a = 3[/tex]

I hope I helped you^_^

Answer:

-7 is the second number

Step-by-step explanation:

Answer:

n=6

Step-by-step explanation:

(n-18)/3 = -4

multiply by 3

n-18 = -12

add 18

n = 6

Answer:

x^8

Step-by-step explanation:

(x^4)^2

~Apply power rule [ (a^b)^c = a^bc ]

x^4(2)

~Simplify

x^8

Best of Luck!

Step-by-step explanation:

[tex] { {x}^{4} }^{2} \\ {x}^{4 \times 2} \\ {x}^{8} \\ thank \: you[/tex]

Answer:

D

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

Answer

∴ The true statement is Answer:

The true statement is BD ≅ CE  ⇒ 3rd answer

Step-by-step explanation:

- There is a line contained points B , C , D , E

- All points are equal distance from each other

- That means the distance of BC equal the distance of CD and equal

 the distance of DE

∴ BC = CD = DE

- That means the line id divided into 3 equal parts, each part is one

  third the line

∴ BC = 1/3 BE

∴ CD = 1/3 BE

∴ DE = 1/3 BE

∵ BC = CD

∴ C is the mid-point of BD

∴ BC = 1/2 BD

∵ CD = DE

∴ D is the mid-point of DE

∴ CD = 1/2 CE

- Lets check the answers

* BD = one half BC is not true because BC = one half BD

* BC = one half BE is not true because BC = one third BE

* BD ≅ CE is true because

 BD = BC + CD

 CE = CD + DE

 BC ≅ DE and CD is common

 then BD ≅ CE

* BC ≅ BD is not true because BC is one half BD

∴ The true statement is BD ≅ CE

plz mark me brainliest

Answer:

thequantity in column b is greater

Step-by-step explanation:

7a+b=33......(1)

3a-b=7.........(2)

(1)+(2)

7a+b+3a-b=33+7

10a+b-b=40

10a=40

a=4

in equation (1)

7*4+b=33

28+b=33

b=33-28

b=5

b>a

Answer:

No

Step-by-step explanation:

5(3+2) = 5(5) = 25

5.3 + 5.2 = 10.5

25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2

Answer:

x = -3

Step-by-step explanation:

5(x-2)+3x-4 = -38

=> 5x-10+3x-4 = -38

=> 5x+3x-10-4 = -38

=> 8x-14 = -38

=> 8x = -38+14

=> 8x = -24

=> x = -24/8

=> x = -3

Answer: y - 4 = 2 (x + 1)

Step-by-step explanation:

There are in four general forms of equations:

Here, we are going to use the point-slope form because the question has given us both the slope and one point.

Solve:

**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.

Given information

(x₁, y₁) = (-1, 4)

m = 2

Given expression

y - y₁ = m (x - x₁)

Substitute values into the expression

y - 4 = 2 (x + 1)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 6, extraneous

Step-by-step explanation:

When you are substituting x = 6 back into the equation, it makes the denominator = 0, so this is an extraneous solution.

Answer:

The answer is = -4

Step-by-step explanation:

3x - 8 = -2

3x = -2 + 8

3x = 6

x = 6 ÷3

x = 2

for x - 6

2 - 6 = -4