A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?

Answer:

s=6.2

Step-by-step explanation:

-3.1s=-19.22

divide -19.22 by -3.1 to get s

s=6.2

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

Answer:

Step-by-step explanation:

if Abble buy pizzas for 60 dollars

60/12=5

he can buy 5 pizzas

p=5

Answer:

Subs: 49.5 students, Tex-mex: 144 students, Italian: 31.5 students

Step-by-step explanation

The number of students eating a type of food can be found by using:

Percent * number of students

So in this equation, we can use this formula to find the answers.

Subs:

22% * 225 = 0.22 * 225 = 49.5

Tex-mex:

64% * 225 = 0.64 * 225 = 144

Italian:

14% * 225 = 0.14 * 225 = 31.5

There is an issue- you can't have half a person. Either this question is wrong, or the person who wrote it didn't keep this in mind.

Ask your teacher whether this question is right, or just leave the answer like this.

Answer:

Hypotenuse = 10 Cm

Step-by-step explanation:

Given:

θ = 60°

Base = 5 cm

Hypotenuse = x cm

Find:

Hypotenuse

Computation:

Cos θ = Base / Hypotenuse

Cos 60° = 5 / Hypotenuse

0.5 = 5 / Hypotenuse

Hypotenuse = 10 Cm

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

m∠ B = 81°

To determine

m∠C = ?

We know that sum of angles of a triangle is 180°.

so using the equation

m∠ A + m∠ B +  m∠C = 180°

substituting m∠ A = 33°, and m∠ B = 81° in the equatio

33° + 81°+m∠C= 180°

114° + m∠C = 180°

m∠C = 180° - 114°

m∠C = 66°

Therefore,

Answer:

13.5

Step-by-step explanation:

The two triangles are similar

According to the question

The equation is

⅔=11/x+3

2x+6=33

2x=27

x=13.5

Answer:

10.46

Step-by-step explanation:

Let the Number of additional pair = x

Ware house A :

855 + 92x - - - (1)

Warehouse B:

Initial cost per pair before 9

= 810 / 9 = $90

Additional 7% for pairs after 9

1.07 * 90 = 96.3

810 + 96.3x - - - (2)

810 + 96.3x = 855+ 92x

96.3x - 92x = 855 - 810

4.3x = 45

x = 45 / 4.3

x = 10.46

Additional pair be 10.46

Answer:

D or C more than likely D

Step-by-step explanation:

Answer:

trol c(:

Step-by-step explanation:

XD

Answer:

Yes

Step-by-step explanation:

I am pretty sure it is a linear function

Answer:

yes

Step-by-step explanation:

[tex]3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}[/tex]

so yes it's a function

Answer:

2x^2 - 8x + 2

Step-by-step explanation:

-4x + 2(x-1)^2

= -4x + 2(x^2 -2x +1)

= -4x + 2x^2 - 4x + 2

= -8x + 2x^2 + 2

=2x^2 - 8x + 2 (usually put the exponent kind of things first)

Answer:

y = 240.3 ft

Step-by-step explanation:

Use trigonometric ratio to find y:

Thus,

Reference angle = 90° - 31° = 59°

Opposite = 400 ft

Adjacent = y

Therefore:

Tan 59° = 400/y

Multiply both sides by y

y*tan 59 = 400

Divide both sides by tan 59

y = 400/tan 59

y = 240.3 ft (to the nearest tenth)

Answer:

x = 8, y = -7

in coordinate form: (8,-7)

Step-by-step explanation:

first, find x using the second equation:

x - 9 = -1

add 9 to both sides of the equation

x - 9 + 9 = - 1 + 9

x = -1 + 9

x = 8

next, substitute x for 8 in the first equation:

2x - y = 23

2 * 8 - y = 23

16 - y = 23

16 - y + y = 23 + y

16 = 23 + y

16 - 23 = y

y = -7

also, I had this exact question on an assignment earlier today ahah

Answer:

the answer is x=-20 there you go

Answer: x = - 20 Hope I Helped!!

Step-by-step explanation:

Distribute

Eliminate Redundant Parentheses

Subtract The Numbers

Combine Like Terms

Add 15 to both sides of the equation!!!

Step-by-step explanation:

Hey ..but there is nothing from which question can be equated ..

like if they are equal to zero..

or

(4x+45)=(5x-18)

i am giving answer for both scenarios

(4x+45)=0

4x=-45

x=-45/4

x=(-11.25)

(5x-18)=0

5x=18

x=18/5

x=3.6

Incase if they both are equal to each other...

(4x+45)=(5x-18)

(45+18)=(5x-4x)

63=x

x=63

Hope it helps you

Have a nice day

Answer:

The number of

Small candles = x = 12 candles

Large candles = y = 16 candles

Step-by-step explanation:

You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

Let the number of

Small candles = x

Large candles = y

Our system of equations is:

x + y = 28 .......... Equation 1

x = 28 - y

A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

4x + 6y = 144......... Equation 2

Substitute 28 - y for x in Equation 2

4(28 - y) + 6y = 144

112 - 4y + 6y = 144

- 4y + 6y = 144 - 112

2y = 32

y = 32/2

y = 16 candles

x = 28 - y

x = 28 - 16

x = 12 candles

Therefore:

The number of

Small candles = x = 12 candles

Large candles = y = 16 candles

Answer:

4 : 2: 1

Step-by-step explanation:

[tex] \frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1[/tex]

Answer:

[tex]\frac{1}{r^{10} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )

= [tex]\frac{1}{a^{(n-m)} }[/tex]

Then

[tex]\frac{r^{2} }{r^{12} }[/tex]

= [tex]\frac{1}{r^{(12-2)} }[/tex]

= [tex]\frac{1}{r^{10} }[/tex]

the answer is 0.6% i think hope this helps

Answer:

0.6%

Step-by-step explanation:

[tex]\frac{24}{4000}[/tex] = 0.6%

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 4000, so we can write it down as 100%=4000.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=4000

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=4000/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 4000

100%/x%=4000/24

(100/x)*x=(4000/24)*x       - we multiply both sides of the equation by x

100=166.666666667*x       - we divide both sides of the equation by (166.666666667) to get x

100/166.666666667=x

0.6=x

x=0.6

now we have:

24 is 0.6% of 4000

Answer:

15 feet

Step-by-step explanation:

This is calculated using the formula

Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column

From the question

Height of observation tower = 60 ft

Shadow of observation tower = 32 ft

Height of Marble column = ? x

Shadow of marble column = 8 ft

Hence:

60ft/32ft = x/8ft

Cross Multiply

60ft × 8 ft = 32ft × x

x = 60 ft × 8 ft/32 ft

x = 15 ft

Therefore, the marble column is 15 feet tall

Answer:

y = -1/2x-1 would have a x-intercept of -2 when graphed!

Answer: 1072.8 cm³

Step-by-step explanation:

The volume of a hemisphere: 2/3πr³

Radius = 8 cm

2/3 × 22/7 × 8³

2/3 × 22/7 × 512 = 1072.761

1072.761 ≈ 1072.8

The volume of this hemisphere is 1072.8 cm³

Hope this helped!

Answer:

Question 1. 1/2 hour

Question 2. 1/6

Question 3. 5/12 eggs