(50/100 POINTS + BRAINLIEST PLEASE HELP ASAP)
The graph below shows the numbers of cups of peach juice that are mixed with different numbers of cups of lemon-lime soda to make servings of peach soda:
What is the ratio of the number of cups of peach juice to the number of cups of lemon-lime soda?

A. 9:1
B. 1:36
C. 36:1
D. 1:9

Answer:

y=-3x+6

Step-by-step explanation:

Using slope formula

We want to get a system of inequalities that models the given situation.

The solutions are:

a) The system is:

And the graph can be seen at the end.

b) A solution can be x = 12 and y = 2

c) x = 8 and y = 1 is not a solution.

First, we need to define two variables:

a) First, we know that you must at least 8 hours per week in the grocery store, then:

x ≥ 8

We know that you need to earn at least $120 per week, then we have the inequality:

x*$10 + y*$15 ≥ $120

And you don't want to work more than 20 hours per week, this gives:

x + y ≤ 20.

We also add the trivial restriction:

y ≥ 0

Then the system is:

The graph can be seen at the end.

b) The solution region is the interception of the four shaded regions (is the dark blue part).

A solution in that region can be:

x = 12

y = 2

c) The point x = 8, y = 1 is graphed, you can see that it is outside the solution region, thus, this is not a solution.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/2065712

Answer:

D - Two.

Step-by-step explanation:I took the test and this was the correct answer.

Answer: 9/20

Step-by-step explanation:

Answer:

9/20

Explanation:

0.45

Since there are two numbers after the decimal point, the denominator will be 100 (two zeroes). So, 45/100.

Simplify the fraction. Divide both the numerator and the denominator by 5.

9/20

Hope this helps! :)

Answer:

00000

Step-by-step explanation:

Time can't be negative so we need to get absolute value of x .

Answer:

i. $3000

ii. $9000

Step-by-step explanation:

25%=1/4, so we find one fourth of 12000, which is 3000, which is how much he lost, and remove that from the price he bought it, and we get the selling price, $9000.

Answer:

y=9, x=7

Step-by-step explanation:

2x-y=5 --> equation 1

2x-5y=-31 --> equation 2

change signs of equation 1

-2x+y=-5

solving method

-2x+y=-5                   (cut -2x and 2x because -2x+2x =0)

2x-5y=-31                       (likewise +y-5y and -5-31)

-4y= -36            (since -4 is multiplying on right side it will divide)

y= -36/-4             (cut negative with negative and simplify equation)

y= 9                  

put value of y in equation 1

2x-y=5

2x-9=5

2x= 14

x=14/2

x=7

The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 9y² + 21yz⁴ - 8y²

Simplify the expression, then we have

⇒ 9y² + 21yz⁴ - 8y²

⇒ y² + 21yz⁴

Factorize the expression, then we have

⇒ y² + 21yz⁴

⇒ y(y + 21z⁴)

The factor of the expression 9y² + 21yz⁴ - 8y² will be y and (y + 21z⁴).

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Answer:

2v6y719x3

Step-by-step explanation:

(1): "x3"   was replaced by   "x^3".  2 more similar replacement(s).

STEP 1

Equation at the end of step 1

 (((2v2 • y711) • v4) • y8) • x3

STEP 2

Final result :

 2v6y719x3

Answer:

Step-by-step explanation:

Correct answer:

3√3

Explanation:

General formula for the diagonal of a cube if each side of the cube = s

Use Pythagorean Theorem to get the diagonal across the base:

s2 + s2 = h2

And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:

h2 + s2 = d2

s2 + s2 + s2 = d2

3 * s2 = d2

d = √ (3 * s2) = s √3

So, if s = 3 then the answer is 3√3

Answer:

£30000

Step-by-step explanation:

I used a couculator

Answer:

[tex]\frac{c}{4} +5 = 7[/tex]

Step-by-step explanation:

The wording, "the quotient of a number and 4," can be displayed as c/4. C would be our variable for the number because the question asks specifically for it. 5 more would demonstrate that we're adding 5 more to our equation. Which would result in c/4 + 5. However, since it equals 7, just add that portion to create the following equation:

[tex]\frac{c}{4} +5 = 7[/tex]

Answer:

c / 4 + 5 = 7

Hope this helps!

Step-by-step explanation:

5 + ( more )  than the quotient ( division ) of a number and ( + ) 4 is ( = ) 7

5 + c / 4 = 7

c / 4 + 5 = 7

Answer:

A. 8

Step-by-step explanation:

We are given the functions:

[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]

    We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.

    As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.

[tex]f(g(x))=\sqrt{(7x+b)}[/tex]

    The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.

[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]

Therefore, the value of b is equal to 8.

x = 6 can be represented on the number line and hence it is real

Step-by-step explanation:

by simply plugging in 6 for x thus

x=6 becomes 6=6 which is true

Answer:

$126 is correct

Step-by-step explanation:

Answer:

$126/month

Step-by-step explanation:

Divide the total cost ($756) by 6 (months).  We get $126/month.  Six months' payment (6 times $126) will produce a total savings of $756.

Answer:

C

Step-by-step explanation:

cost=price of one box (number of boxes)

:))

Answer:

A. √150

Step-by-step explanation:

12² = 144

13² = 169

The only value of any of the options falling between 12 and 13 is √150

Answer:

192

Step-by-step explanation:

Volume of a rectangular prism = length times width times height.

For the following prism, length = 4, width = 6 and height = 8

So volume would equal 4 * 6 * 8 = 192ft²

Answer:

0

Step-by-step explanation:

anything multuplied by 0 is 0

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

We apply our knowledge of slope intercept form:

y = 1/2 x + b

therefore, we  plug in the values for x and y getting

-3/2 = 0 + b

so b = -3/2, plug it back into the equation getting

y = 1/2x - 3/2

10days = ... miles

= 5days × 2

= 33 × 2

= 66miles

Answer:39

Step-by-step explanation:

Answer:

[tex]\sqrt{39}[/tex]

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]b^2+5^2=8^2[/tex]

We can rearrange this equation to find b:

[tex]b^2=8^2-5^2\\\\b^2=64-25=39\\\\\sqrt{b^2}=\sqrt{39}\\\\b=\sqrt{39}[/tex]

Answer:

inches

Step-by-step explanation:

pretty sure that says 41 inches because at 36 it says 3 feet and 12 inches = 1 feet, so 36 inches equal 3 feet. The measurement would be inches.

Answer:

18

Step-by-step explanation:

Total=70.

Last week she posted= 2/5 of 70= She posted 28 last week

So, 42 left

then, she posted 4/7 of remaining (42)

4/7 of 42 is 24

42-24= 18

She still needs to post 18 flyers

HOPE THIS HELPS!

Answer:

OK, so she started with 70 fliers.

Last week, she posted 2/5 of them. 2/5 of 70 is equal to 28, so she has 28 fliers less than she started with. 70-28=42.

This week, she posted 4/7 of the remaining fliers (42). 4/7 of 42 is equal to 24. So, she has 24 less than 42, so 42-24=18.

She still needs to post 18 fliers.

Hope this helps!!!

(f.g)(x) = (4x + 6)(-5x) = -20x^2 -30x

ok done. Thank to me :>

[tex]\sqrt 5 + \sqrt 5 \\\\=\sqrt 5(1+1) \\\\= 2 \sqrt 5[/tex]

Answer:

355 ounces

Step-by-step explanation:

Okay! We're going to have to use some conversion factors for this problem, since we're working with two different units (pounds and ounces). We know that there are 16 ounces in a pound - that's our first conversion factor. We can use it to write up a little equation to help us:

[tex]\frac{22lbs}{1} *\frac{16oz}{1lb} + 3 = x[/tex]

"x" is the total amount of ounces. Does everything in that equation make sense? The first multiplication part tells us how many ounces are in 22 pounds, and the second part (+ 3) adds the 3 ounces that were there from the beginning. Now, it's time to calculate.

[tex]\frac{22bs}{1} *\frac{16oz}{1lb} + 3 = x\\[/tex]

[tex]\frac{352oz}{1} + 3 = x[/tex]

[tex]352+3 = x[/tex]

[tex]x=355[/tex]

So, there are 355 ounces in a bike that weighs 22 pounds and 3 ounces. Hopefully that's helpful! :)