Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

Answers

Answer 1

Answer:

10.5 bottles of orange juice

Step-by-step explanation:

Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

Number of bottles of orange juice = x

Number of bottles of soda water = y

The recipe calls for 3.5 times as many bottles of soda water as orange juice.

Hence,

x = 3.5y

If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle

We have:

3.70y + 0.90× 3.5= 20.55

3.70y + 3.15y = 20.55

6.85 = 20.55

y = 20.55/6.85

y = 3 bottles

Since, Number of bottles of soda water = y, Number of bottles of soda water = 3

Note that: x = 3.5y

x = 3.5 × 3

x = 10.5 bottles

Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles


Related Questions

What is the remainder of 832 divided by 77?

Answers

Answer:

[tex]10\frac{62}{77}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer:

62

Step-by-step explanation:

find it out then you see what is left after the question is through

the sum of two consecutive integers is -35. Name the integers

Answers

Okay so for consecutive
Your first integer can be represented by the variable x.
The second number will be x+1, since it is consecutive. (For example 1+1=2, where 1 and 2 are consecutive)

So, your equation will be
x+(x+1)=-35
Combine like terms
2x+1=-35
-1 -1
—————
2x=-36
Begin isolating the variable by moving the 1 to the right
Divide each side by 2 to completely isolate x
2x=-36
—— —-
2 2
x=-18

So, one of the numbers is -18. For the other integer, insert -18.
x+1=-18+1

-17

So one integer is -17, and the other is -18. You can check by adding these integers, which gives you -35.

Hope this helps!!

Given g(x) = 3x + 8 , what is the value of g(− 4) ?

Answers

Answer:

- 4

Step-by-step explanation:

Step 1:

g ( x ) = 3x + 8     Function

Step 2:

g ( x ) = 3 ( - 4 ) + 8      Input x

Step 3:

g ( x ) = - 12 + 8    Multiply

Answer:

g ( x ) = - 4     Add

Hope This Helps :)

Answer:

g(-4) = -4

Step-by-step explanation:

So we are given the function g(x) = 3x + 8 and we are asked to find g(-4). To find g(-4), we would have to plug in -4 for x in the equation for g(x).

g(-4) = 3(-4) + 8 = -12 + 8 = -4

So g(-4) = -4.

I hope you find my answer and explanation to be helpful. Happy studying.

5 plus 5 and 6 plus 6

Answers

Answer:

5+5=10

6+6=12

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

5+5=10

6+6=12

add them up

22

The length of the side of a regular nonagon is 7.86cm. Evaluate the perimeter of the nonagon.

Answers

Answer: 70.74

Step-by-step explanation:

A Nonagon has 9 equal sides, and each side of the given is 7.86

So 7.86 multiplied by 9 is 70.74

A factory made 357,945 baseball bats over the last 2 years. During that time, the factory made 490,867 little league baseballs and 389,839 major league baseballs. How many more baseballs than bats were manufactured during the 2 years? Liliana's answer to this question is below. Her teacher says her answer is not reasonable. Look over her work before answering (a) and (b).

Answers

Answer:

522,761 baseballs

Step-by-step explanation:

Number of baseball bats produced over the last 2 years = 357, 945

Number of little league baseballs produced over the last 2 years = 490,867

Number of major league baseballs produced over the last 2 years = 389,839

Total number of baseballs produced over the period = 490,867 + 389,839

                                                                                         = 880,706

Number of baseballs manufactured more than bats = 880,706 - 357945

                                                                                      = 522,761

There are 522,761 baseballs produced more than bats during the 2 years.

FIRST CORRECT ANSWER GETS BRAINLIEST, 43 ISNT THE ANSWER THANKS

Answers

Step-by-step explanation:

10+2+2+7+5+3+8+8= 21+24= 45units

You forgot to add the 2 so it should be 45

Kali had a total of 21 balloons at her birthday party. The ratio of blue balloons to green balloons is shown in the tape diagram.

Answers

Answer:

there were 12 blue balloons at Kali’s party

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Determine whether side-angle-angle (SAA) is a valid means for establishing triangle congruence. In this case, you know the measure of a side, an adjacent angle, and the angle opposite to the side. If it is a valid criterion, explain why. If it is not valid, use GeoGebra to create a counterexample demonstrating that it doesn't work and give an explanation. If you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below.

20 points ​

Answers

SAA = corresponding angle

the answer is 28 degree

The cheerleading squad received 1/4 of the total sales of foam fingers and pom-poms at a pep rally. The squad received $258 in sales for the foam fingers and a total overall in sales of $136.75. What was the value of pom-pom sales?

Answers

Answer:102.56

Step-by-step explanation:136.75 - 25% = 102.56

                                               25% of 136.75 = 34.19

Large and small cans of peanuts were sold at a school fundraiser. One student sold
three small cans and nine large cans of peanuts for a total of $75. Another student
sold five small cans and seven large cans of peanuts for a total of $69. What is the
cost of the small and large cans of peanuts?
A Small can for $6.29 and large can for $7.00
B Small can for $4.86 and large can for $6.00
C Small can for $4.00 and large can for $7.00
D Small can for $7.00 and large can for $9.00

Answers

Answer:

the answer is c.

Step-by-step explanation:

4 x 5 + 7 x 7 = 69

4 x 3 + 7 x 9 = 75

Cost is small can for $4.00 and large can for $7.00.

What is the system of equation?

One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Let S be  the number of small cans and L be the number of large cans.

According to the question,

One student sold three small cans and nine large cans of peanuts for a total of $75.

That means the equation is ;

3S + 9L = 75      {equation 1}

And similarly for another student;

5S + 7L = 69            {equation 2}

Now we have two system of the equation.

3S + 9L = 75      {equation 1}

5S + 7L = 69            {equation 2}

Using elimination process,

we multiply 5/3 to equation 1,

5S + 15L = 125

And subtract equation 1 to the equation 2,

we get L = 7 and S = 4

Therefore, small can for $4.00 and large can for $7.00

To learn more about the system of equation;

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Paul spent 1/4 of his money on food and another 3/10 of his money on soda. If he had 5 dollars to begin , how much money does he have left?

Answers

1/4 x 5 = 1.25
5-1.25 = 3.75
3/10 x 3.75 = 1.125
3.75-1.125 =

$2.625

9. Let p be "an animal is a dog" and let q be "an animal is a golden retriever." Write the conditional statement.

Then decide whether it is true or false.

a. If an animal is a golden retriever, then it is a dog; true

b. If an animal is not a golden retriever, then it is not a dog; false

C. If an animal is a dog, then it is a golden retriever; false

If an animal is not a dog, then it is not a golden retriever; true

Answers

Answer:

C. If an animal is a dog, then it is a golden retriever; false

Step-by-step explanation:

Logical reasoning is an important aspect of mathematics.

The conditional statements in the question are represented by the letters p and q. The if-then statement in which the statement p will lead to a conclusion in q is a glaring characteristic of conditional statements. A conditional will be held to be true unless a statement that is true has a false conclusion derived from it.

In the question above, the conditional statement is; If an animal is a dog, then it is a golden retriever. We can clearly see that this conclusion is false.

Which numbers round to 7.91 when rounded to the nearest hundredth? Select all that apply.
A. 7.914
B. 7.905
C. 7.901
D. 7.915
E. 7.909

Answers

Answer:

A. 7.914

B. 7.905

E. 7.909

Answer: A D AND E

Step-by-step explanation:

There the answers i took that test

My age is 9 years, My sister is half of my age. Now I'm 49 years, How old is my sister?

Answers

Answer:

i think it is 24

Is the square root of 16.45 a rational number or irrational number?

Answers

Answer:

Irrational

Step-by-step explanation:

The square root of 16.45 would be a number that will never end, making it irrational.

Answer:

irrational

Step-by-step explanation:

4.05585995813

does not terminate or repeat

not an integer

Write an equation for the parabola with the vertex (0,0) and focus (5,0)

Answers

Answer:

Step-by-step explanation:put ha times 4 then divide it by ha 23

At El Rodeo it costs $8 for a burrito and $5 for a taco. Last week, El Rodeo made $1123 from selling burritos and tacos. If 76 burritos were sold, write and solve a linear equation to find how many tacos were sold.

SOLUTION:
Question Blank
type your answer...
tacos were sold

Answers

Answer:

103 tacos were sold

Step-by-step explanation:

8(76)+5x=1123

608+5x=1123

-608       -608

5x=515

/5   /5

x=103

Mrljrljepkspdjrotjorje

Choose the correct answer :
0,2444... and 0,244

1 ) 0,2444...=0,244
2) 0,2444...<0,244
3) 0,2444...>0,244

Answers

Answer:

2

Step-by-step explanation:

The answer is 2 The answer is 2 The answer is 2

Please help

Dion bought tickets for Fun Park so that he and his friends would each have the same number of tickets. There are enough tickets so that each person can
ride the go-carts once, play video games three times, and play laser tag twice.
When Dion purchased the tickets for himself and his eight friends, he realized
that he could purchase ticket books, individual tickets, or a combination of
books and individual tickets. Dion figured out the cheapest way to buy tickets for his
group. What was the cheapest way and what was the total cost?

Answers

Answer:

25

Step-by-step explanation:

Determine the domain of the function (f of g)(x) where f(x)=1/ x+3, g(x) =2/x.

Answers

Answer:

(-infinity, -2/3)u(-2/3,0)u(0, infinity)

Step-by-step explanation:

since it is asking for f(g(x)) we plug g into x which looks like:

f(2/x)

now we plug that into the f(x) equation for all of the x's because that is what replaced the x so:

1/(2/x)+3

we look at the denominator so we can pull the 2/x+3 out and set it equal to zero, therefore solving for x

this gives us -2/3

and we get the 0 from g(x) 's denominator

that should be correct and hope this helps!

1. Here is a polygon. Draw a scaled copy of the polygon using a scale factor of 1/2.
The scale of a map says that 8 cm represents 5 km.
What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
Must show your math thinking on the sketchpad.You may use a calculator, but must show the calculations you used.

Answers

Answer: For the first question it is basically half of the polygon.

Step-by-step explanation:

If you count the units, for example one of the side is 4 units. What is half of 4. It is 2

Please help me with this math problem

Answers

Answer:

28x

Step-by-step explanation:

i took the test

What is the slope of this line?

A. 3
B. -1/3
C. -3
D. -2
E. 4

Answers

Answer:

-3

Step-by-step explanation:

Pick two points on the graph, lets go with (0, 4) and (1, 1)

y = mx + b

m is the slope and to figure it out use below formula

m = (y₂ - y₁) / (x₂ - x₁)

  = (1 - 4) / (1 - 0)

  = -3 / 1

  = -3

Answer:

C. -3

Explanation:

Given problem;

 To solve for the slope of the line;

The slope of a line is the vertical distance to the horizontal displacement on a line.

  Slope  = [tex]\frac{Vertical distance}{horizontal displacement}[/tex]

For lines such as this, we use the formula below;

                        Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

To find the slope reference the image attached;

     point 1 (0,4)      x₁  = 0   y₁  = 4

     point 2 (2,-2)    x₂  = 2   y₂  = -2

Now input the parameters and solve;

          Slope  = [tex]\frac{-2 - 4}{2 - (0)}[/tex]   =    [tex]\frac{-6}{2}[/tex]  

          Slope  = -3

   

The slope of the line is -3

A boat has a speed of 9 mph in Coldwater. It takes about four hours to travel upstream but only two hours to travel the same distance down stream. Which equation can be used to find C, the speed of the current in miles per hour?

Answers

It is 18 miles per hour

What is the solution to this equation? 2 x + 3 = x − 4

Answers

Answer:

the answer is -7

Step-by-step explanation:

hope this helps

Answer:

-7

Step-by-step explanation:

help please because i am very dumb

Answers

A) 7000
B) 20000
C) 300000

Answer:

A.7,000

B20,000

c.300,000

Step-by-step explanation:

0.82 divided by what = 0.0082

Answers

Answer:

100

Step-by-step explanation:

You move the decimal to the left, 2 times.

You can only move it over like that if you are working with 10, 100, 1,00, ect.

If you were multiplying you would move it to the right.

Answer:

100

Step-by-step explanation:

1/5 X– 5 = 15
I have no clue how to do this please help

Answers

I don't know where you got 15 from.

Answer: -1

Step-by-step explanation:

Multiply

1/5 × ( −5 ) = -5/5

Simplify

-5/5− = -1

Answer:

x=100

Step-by-step explanation:

1/5x -5 =15

-5

+5

___

0

then u do

1/5 divided by 20 =100

and the 1/5 cancel out and makes it only x so u drop it and it the answer will be

x=100

Quadrilateral JKLM is dilated by a scale factor of 2 with a center of dilation at the origin to form quadrilateral J' K’ L’ M’

What are the coordinates of point J ?

A.(2,2)
B.(4,6)
C.(6,2)
D.(6.4)

Help FASTTT‼️‼️‼️‼️

Answers

The answer is

A.(2,2)

The new coordinates of point J' of the quadrilateral J' K’ L’ M’ is option (D) (6,4) is the correct answer.

What is transformation of dilation?

Dilation is a kind of transformation in which an object is resized based on a scale factor. Dilation is the process of enlarging or reducing the size of a geometrical object without changing its shape.

For the given situation,

Quadrilateral JKLM is dilated by a scale factor of 2 with a center of dilation at the origin to form quadrilateral J' K’ L’ M’.

To dilate the figure by a factor of 2, we need to multiply the x and y-value of each point by 2.

Here the coordinates of J is (3,2).

The dilation factor is 2, so multiply both the x and y value by 2.

Thus x value is

[tex]3(2)=6[/tex]

and y value is

[tex]2(2)=4[/tex]

Hence we can conclude that the new coordinates of point J' of the quadrilateral J' K’ L’ M’ is option (D) (6,4) is the correct answer.

Learn more about transformation of dilation here

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