A punch recipe requires 4/5 of a cup of pineapple juice for every 2 1/2 cups of soda. What is the unit rate of soda to pineapple juice in the punch?

Answers

Answer 1
we know that
2 1/2----------> (2*2+1)/2-----------> 5/2

[unit rate of soda to pineapple juice]=[quantity of soda]/[quantity of pineapple]
[unit rate of soda to pineapple juice]=[5/2]/[4/5]----> 25/8-------> 3.125---> 3 1/8

the answer is 3.125 (3 1/8)

Related Questions

Kevin needs to convert 620 millimeters per minute to meters per hour. Which conversion factors should he use?













Answers

Try this option:
1 meter=1000 mm; 1 hour=60 min. From another side: 1 mm=0.001 m. and 1 min=1/60 h.
Using this rule:
620 mm/h=0.06*620 m/h=37.2 meters per hour.

answer: 0.06

alex originally paid $5200 for her car 1 year ago. the value of her car now is $4,420. what is the percent of decrease in the value of her car?

Answers

the answer is 15%
hope it helps
please mark as brainliest

at joes restaurant, one fourth of the patrons are male and one -fifth of the patrons are from out of town. what proportion would you expect to be male and out of town?

Answers

You would expect the proportion to be 1/20.

1/4(1/5) = 1/20.

Answer:

[tex] \frac{1}{20}  [/tex]

Explanation:

Suppose there are x patron in the Joes restaurant.

[tex] \frac{1}{4} ^{th}  [/tex] patron are male

[tex] \frac{1}{5} ^{th}  [/tex] patron are outside of the town.

Now we need to find the proportion of male and out of town.

In order to find out the proportion, we will multiply both the fractions together.

[tex] \frac{1}{4}* \frac{1}{5}  [/tex]

In case of fraction multiplication, we will multiplying both numerator together and denominator together.

= [tex] \frac{1*1}{4*5}  [/tex]

=  [tex] \frac{1}{20}  [/tex]

Final answer is 1/20.

I hope its help you.


Decide if the measurements determine no triangle, a unique triangle, or more than one triangle.

ITEMBANK:
3 cm, 4 cm, 11 cm

3 cm, 5 cm, 15 cm

30°, 40°, 110°

6 cm, 7 cm, 12 cm

60°, 60°, 60°

8 cm, 90°, 45 °

Options: No triangle, Unique triangle, or More than one triangle

Answers

1) No triangle
2) No triangle
3) More than 1 triangle
4) 1 triangle
5) More than 1 triangle
6) Either 1 or more than 1 triangle

Explanation:
1)  The sum of the two smaller sides is not greater than the third side, so these will not form a triangle.
2) The sum of the two smaller sides is not greater than the third side, so these will not form a triangle.
3) The angles add up to 180, so this will make more than one triangle (there is no information given about the sides, so the triangles would be similar but not necessarily congruent)
4) The sum of the two smaller sides is greater than the third side, so one triangle is formed
5) The angles add up to 180, so this will make more than one triangle (there is no information given about the sides, so the triangles would be similar but not necessarily congruent)
6) Depending on whether the side is between the two given angles, either 1 triangle or more than 1 triangle could be formed.

Answer:

1.)No Triangle

2.)No Triangle

3.)More Than One Triangle

4.)Unique Triangle

5.)More Than One Triangle

6.)Unique Triangle

Which of the following illustrates the product rule for Logarithmic equations?

Answers

We are given Logarithmic equations.

We need to find the equation which illustrates the product rule.

We know, the product rule of Logarithms is:

[tex]log_b (mn) = log_b(m) + log_b(n)[/tex].

According to the product rule of Logarithms, we need to separate logs by plus sign.

In the given options only 4th option logs are separated by plus sign.

[tex]log_2(4x) = log_2\ 4+log_2\ x[/tex].

Therefore, correct option is 4th option.

Answer:

Its D

Step-by-step explanation:

Took test

which of the following values are in the range of the function graphed below?

Answers

The range of the function as seen from the graph is:

(-∞,-2] ∪ [2,∞)

So all the values that are in this range must be selected from the given options. Therefore, the correct answer is:

Option A: 2 
Option C: -4
Option E: -2

Answer:

Option A , B , C And E are correct.

Step-by-step explanation:

We are given with a graph of a function.

We need to find numbers or values which belong to range of the function.

From graph of the function,

Value on x-axis or Horizontal line gives us the Domain of the Function .i.e., ( -∞ , -2 ] and [ 2 , ∞ )  = ( -∞ , -2 ] ∪ [ 2 , ∞ )

Value on y-axis or Vertical line gives us the Range of the Function .i.e.,

( -∞ , -1 ] and [ 1 , ∞ )  = ( -∞ , -1 ] ∪ [ 1 , ∞ )

So, From given values 2 , 1 -4 , -2 belong to range of the function.

Therefore, Option A , B , C And E are correct.

A gumball machine has 140 red gumballs if the red gumballs are 25% of the total number of gumballs how many gumballs are in the gumball machine

Answers

Let's consider the total number of gumballs to be the variable g. Based on the problem, g * 1/4 = 140. Now, multiply by 4 on both sides to cancel the 1/4 to get g = 560.
Let x = total gumballs in machine

140 = 0.25x

Solve for x to find your answer.

a net has two equilateral triangles and three rectangles what solid figure could this make

Answers

it would make a triangular prism. 

i hope im right

Jason buys a pizza for $15.59 . He also buys 6 sodas. Each soda costs the same amount. He spends $23.33 on the pizza and the sodas. Jason finds the cost of each soda by calculating (23.33 − 15.59) ÷ 6 .

Answers

Final answer:

Jason found that each soda costs $1.29 by calculating (23.33 - 15.59) ÷ 6.

Explanation:

Jason spends $23.33 on the pizza and the sodas, and the total cost of the pizza is $15.59. Let's find out the total cost of the sodas by subtracting the cost of the pizza from the total amount spent. So, $23.33 - $15.59 = $7.74.

Now, to find the cost of each soda, we need to divide the total cost of the sodas by the number of sodas purchased. In this case, there were 6 sodas, so $7.74 ÷ 6 = $1.29.

Therefore, Jason found that each soda costs $1.29 by calculating (23.33 - 15.59) ÷ 6.

Cost of each soda (x) is approximately $1.29.

Jason buys a pizza for $15.59.

The cost of the pizza is $15.59.

He also buys 6 sodas:

The total cost of the pizza and sodas is $23.33.

Each soda costs the same amount:

Let's denote the cost of each soda as x.

He spends $23.33 on the pizza and the sodas.

The total cost can be expressed as the sum of the cost of the pizza and the cost of the sodas:

15.59+6x=23.33.

Now, Jason finds the cost of each soda by calculating (23.33 − 15.59) ÷ 6.

This expression represents the cost of each soda.

Let's calculate it:

[tex]\frac{7.74}{6} \approx 1.29[/tex]

So, Jason finds that each soda costs approximately $1.29.

Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6. d

Answers

Final answer:

The shortest distance from the point (5, 0, -6) to the plane x + y + z = 6 is calculated using the distance of a point to a plane formula, resulting in 7 / √3 units.

Explanation:

To find the shortest distance, d, from the point (5, 0, -6) to the plane x + y + z = 6, we use the formula for the distance of a point to a plane in 3D space. The formula is given by:

d = |Ax1 + By1 + Cz1 + D| / √(A² + B² + C²)

For the plane x + y + z = 6, A = 1, B = 1, C = 1, and D = -6. Substituting the coordinates of the point (x1=5, y1=0, z1=-6) into the formula, we get:

d = |1(5) + 1(0) + 1(-6) - 6| / √(1² + 1² + 1²)

d = |-7| / √3

d = 7 / √3

Therefore, the shortest distance from the point to the plane is 7 / √3 units.

a seed company planted a floral mosaic of a national flags.the perimeter of the flag is 560 feet determine the flags length and width if the length is 40 feet greater that width.write three situation to which you could apply the resulting system of equations

Answers

Let
x------------> the flags length
y------------> the flags width
P----------> perimeter

we know that
p=2x+2y------> 2x+2y=560----------> equation 1
and
x=y+40-------------> equation 2
 substitute 2 in 1
2*(y+40)+2y=560-----------> 2y+80+2y=560--------> 4y=480------> y=120
x=y+40-------> 120+40----------> x=160

the answer is 
the flags length is 160 ft
the flags width is 120 ft

Part 2) Write three situation to which you could apply the resulting system of equations

 1) It can be used when considering the relationship between the price of a product and the quantities of the product that people want to buy at a certain price.

 2) It can be used to determine the speed, distance and time duration when traveling by car, and you want to know the values ​​of the unknown variables in your trips.

3) It can be used to determine the most convenient loan option to buy a car or a house when considering the duration of the loan.

–( x – 10) <10

can someone explain how to solve this ( 10 points )

Answers

all you do is subtract 10 from each side. outside of the parentheses is an imaginary -1, so you would do distributive property & the -10 would turn positive. the equation would then be:

-x+10<10
     -10 -10
the solution would be : -x < 0

Hi there!

To solve this, we need to distribute the negative symbol into the parenthesis and simplify to solve for x.

-x + 10 < 10

Now, we simplify.

-x < 0
x < 0

Hope this helps!

Use any model you choose to find the quotient. 4 divided by 1/3

Answers

12

The question is basically doing 4 x 3, which is equivalent to 12 :)

Which angles form a linear pair?

- PRL and LRM
- ORP and MRN
- MRN and NRO
- LRP and ORP

Answers

A linear pair of angles has a common side, and the vertex is on the line designated by the points denoting the non-common sides.

Consider the first choice:

... the common sided is RL, and the other two points are P and M. Point R (the vertex of the angles) is not on line PM. (In fact, line PM is not shown on the diagram.)

In the second choice, the given angles do not have a common side. (They are actually "vertical" angles.)

In the 3rd choice, the common side is RN, and vertex point R is found on line MO. These angles are a linear pair:

... - MRN and NRO

2 is more than a number v

Answers

2 is more than a number v

 2 > v is your equality

this means that v can be the number 1 or less

hope this helps

Which histogram represents the data?

4, 6, 8, 12, 14, 16, 18, 24, 28, 30, 34, 36, 38, 40, 46, 50, 54

Answers

its the bottom left one
The bottom left answer is correct because it shows the numbers represented correctly.

In the equation y=x/3 , what is the unit rate?

Answers

[tex]\bf y=\cfrac{x}{3}\implies y=\stackrel{rate}{\cfrac{1}{3}}x[/tex]

Twelve ounces of Brand X costs $1.14. Sixteen ounces of Brand Y costs $1.28. Brand X costs how much more per ounce than Brand Y.

Answers

"Per" means "divided by", so "cost per ounce" means "cost"/"ounces".

The difference in cost per ounce is
.. (1.14/12) -(1.28/16) = .095 -.08 = 0.015

Brand X costs 1.5¢ more per ounce than Brand Y.

graph
[tex]y = - \frac{x}{2} + 1[/tex]

Answers

One way, and probably the fastest way to graph, [tex]y = - \frac{x}{2} + 1[/tex] would be to plug in x values and plot the y value you get with the corresponding x value.

You only need two points because it's a linear graph. You already know one point, the y intercept, because your equation is in point slope form and b = 1, so 1 is the y intercept. 

0.5(x4 − 3) + 15 =
NEED ANSWER TONIGHT!!!!!!

Answers

what are you trying to find? x?
Is the X not supposed to go after the X, I do not know how to answer is X is in front but if you meant the X is behind the 4 then it would be like this...

0.5(4x-3) +15=

2x-1.5+15

The like terms would be -1.5 and 15

2x+13.5

That would be the answer, hope I am right :D

Help needed and explain!!

Answers

First calm down listen to the steps

1. Since there are 4 triangle so you will need to find the area and the formula is base(height)1/2 but you should probably check the formula just to make sure

2.Then you will find the area of the square which is length times width

3.Add all 5 areas together and the answer should be labeled in squared

hope that helped

A candle is shaped like a triangular pyramid. The side lengths of the base are equal. Find the surface area of the candle

Answers

the answer is 10.8 because the sides are 1.7*2/2=1.7 1.7*4 
6.8+ 2*8=14.8. so 14.8 is the answer

Jenny used her credit card to buy a refrigerator with a base cost of $824. The refrigerator consumed an average of $0.09 in electricity every day. Jenny made regular monthly payments for three and a half years, at which point the refrigerator was paid off. Over the eight years that Jenny had the refrigerator, it needed repairs three times, costing $68.75 each time. If Jenny’s credit card has an APR of 10.54%, compounded monthly, and sales tax in Jenny’s area is 7.13%, what was the lifetime cost of Jenny’s refrigerator? Assume that Jenny made no other purchases with her credit card, and round all dollar values to the nearest cent. (Remember that leap year occurs every four years.) a. $1,528.47 b. $1,622.46 c. $1,779.63 d. $1,457.91

Answers

I think the answer is A) $1,528.47.

The lifetime cost of Jenny's refrigerator is A. $1,528.47.

What is lifetime cost?

Lifetime cost is the total expenses relating to the purchase of a good, like a car, a home, or a refrigerator from the purchase date to the end of the asset's lifespan.

We can calculate the lifetime cost by using an online finance calculator to determine the total payment, including interests, for the asset and then adding up other expenses like repairs and electricity costs.

Data and Calculations:

Base cost of refrigerator = $824

Sales tax = 7.13%

Total cost of refrigerator, including sales tax (loan amount) = $882.75 ($824 x 1.0713)

Average daily electricity consumption = $0.09

Total electricity cost = $262.98 ($0.09 x 8 years x 365 days + $0.09 x 2 leap year days)

Payment period for credit purchase = 3 1/2 years

Total repairs cost = $206.25 ($68.75 x 3)

Period of possessing the refrigerator = 8 years

APR = 10.54% compounded monthly

From an online finance calculator:

Monthly Payment = $25.22

Total Payment = $1,059.24 ($25.22 x 12 x 3.5)

Total Interest for 3 1/2 years = $176.49 ($1,059.24 - $882.75)

Lifetime cost of Jenny's refrigerator = Total loan payment + Electricity cost + Repairs cost)

= $1,528.47 ($1,059.24 + $262.98 + $206.25)

Thus, the lifetime cost of Jenny's refrigerator is A. $1,528.47.

Learn more about lifetime cost at https://brainly.com/question/26892161

What would this expression be simplified?

6p x 3 = 3 x 6p

Answers

6p x 3 = 18p
3p x 6 = 18p

18p = 18p (True)


your equation will just look like: 18p = 18p

hope this helps

How many more equal angles does a square have than a rectangle?

Answers

a rectangle, is a quadrilateral with all angles at 90°.

a square is a quadrilateral with all equal sides, and right-angles all around.

now, the rectangle as well as the square, have all right-angles, the only difference is that the square has all equal-length sides, whilst a rectangle can have pairs of sides that vary in length.

what do you need to know about two figures to be convinced that the two figures are congruent

Answers

All corresponding angles and side lengths must be the same.

Only thing I can think of...

To establish congruence between figures in geometry, it is necessary to ensure their corresponding sides and angles match. The process involves utilizing the concept of congruent transformations to map one figure onto another without changing its dimensions.

Congruent figures have corresponding points, segments, and angles that are equal. To be convinced that two figures are congruent, you need to know that their corresponding sides and angles match.

Theorem 11 states that if one side and the two adjacent angles of two triangles are congruent, then the triangles are congruent.

In geometry, congruent transformations are used to show that two figures are congruent by mapping one onto the other without altering the size or shape.

Last year the girls basketball had 8 5th graders and 7 6th graders. What was the ratio of 6th graders to 5th graders on the team

Answers

The ratio is 7:8

We simply list the number of sixth graders (7 of them), then write a colon, and then write the number of fifth graders (8 of them). After writing all this down, we would reduce the ratio but it cannot be reduced any further. Why not? Because there are no common factors (other than 1) between 7 and 8.

So that's why the answer is 7:8

Answer:

The ratio is 7:8

We simply list the number of sixth graders (7 of them), then write a colon, and then write the number of fifth graders (8 of them). After writing all this down, we would reduce the ratio but it cannot be reduced any further. Why not? Because there are no common factors (other than 1) between 7 and 8.

So that's why the answer is 7:8

Which equation can be used to solve for b? b = (8)tan(30o) b = b = (8)sin(30o) b =

Answers

the answer is 
tan30 = b/8
b=8tan30

In a  right angle triangle the three sides are represented by the letters a, b and c .

a represents the side adjacent with given angle .

b represents the side opposite to the given angle.

c represents the hypotenuse of the triangle .

Check the attached image for clear picture of the right angle triangle with angle 30 degrees .

Using the trigonometric ratio we can write the ratio as

[tex]\frac{b}{a} = tan(30^0)[/tex]

Multiplying both sides by a , we get

[tex]b =a * tan(30^0)[/tex]

since a=8 so

[tex]b = 8* tan(30^0)[/tex]

Identify if the expressions below are polynomials or not for each of them.

Answers

The polynomials can´t contain:
 
 -Variables in the exponents of the terms.
 -Variables in the denominator.
 - Negative exponents.
 -Fractionals exponents.
 -The variables cant be as radicals.
 
 Therefore:
 
 a) It is a polynomial (The variable is under a radical)
 b) It is not a polynomial.
 c) It is a polynomial.
 d) It is not a polynomial. (It has a variable in the denominator).
 e) It is a polynomial.
 f) It is not a polynomial.  (It has a variable in the denominator).

This a fraction problem, can u solve it
3 1/2 - 2 5/9

Answers

The answer is 7/18
or 0.39 in decimal
3 1/2 - 2 5/9 = 17/18

LCM of 9 and 2 is 18

Then, you change it to an improper question
3 1/2 = 7/2 = 63/18
2 5/9 = 23/9 = 46/18

63/18 - 46/18 = 17/18

Hope this helps! ;)
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