MATHEMATICS HIGH SCHOOL

A recipe for modeling clay requires 1/3 cup of salt. how many recipes of salt can carla make with 7 3/4 cups of salt

Answers

Answer 1

Answer:

Answer:

- The error is: $((31)/(4))((1)/(3))$

- The correct solution is: $(93)/(4)=23^{(1)/(4)}$ (Carla can make approximately 23 recipes with the clay).

Step-by-step explanation:

1. Carla must divide $(31)/(4)$ ÷ $(1)/(3)$ as following:

- Take the reciprocal of $(1)/(3)$ .

- Multiply the numerators and the denominators.

Then:

$((31)/(4))((1)/(3))=((31)(3))/((4)(1))=(93)/(4)$

2. As a mixed number:

$(93)/(4)=23^{(1)/(4)}$

3. Therefore, Carla can make approximately 23 recipes with the clay.

Related Questions

An order of 12 dozen rollerball pens and 5 dozen ballpoint pens cost $116. A later order 8 dozen rollerball pens and 12 dozen ballpoint pens cost $112. What was the cost of 1 dozen of pens?And how much does 1 dozen pencils cost?
A vendor has 30 umbrellas to sell. He sells them for $20 each. The function m(u) = 20u models the total amount of money the vendor makes from selling u umbrellas. What are the practical domain and range of the function?
Barry needed 16 cubic feet of mulch to put under the playground equipment. Each bag of mulch covered 2.1 cubic feet. Barry planned on buying 16 bags of mulch. Is this a reasonable plan? A. No, it is not reasonable because each bag covers around 2 cubic feet. So in order to cover 16 cubic feet, he would need about 32 bags and he would end up with a little extra. B. No, it is not reasonable because each bag covers around 2 cubic feet. So in order to cover 16 cubic feet, he would only need about 8 bags and he would end up with a little extra. C. Yes, it is a reasonable answer because he needs 16 cubic feet of mulch so it is best to get 16 bags of mulch.
A local discount store is famous for their motto, "Shop with us and you'll pay 20% less". Their claim is that every item in the store is already marked down 20% off of retail prices. In this Sunday's ad, they are advertising a scuba mask and snorkel set at their discount price of $28. Use a percent model to determine the original retail price of the scuba mask and snorkel set.
Which shapes are congruent but not similar to shape 1

Which expression is equivalent to 0.8a−2(b−0.3a)+b ?

Answers

1.4 a - b expression is equivalent to 0.8a−2(b−0.3a)+b.

Two teaspoons' worth of polyunsaturated fats should be consumed daily. A unit is equal to one measure of liquor or a glass of wine. It is certain that calls for similar pay increases will be heard. When a hiring manager refers to "comparable experience" in a job description, they may be referring to non-paid experience, such as an internship or volunteer work, in place of paid work experience.

0.8a - 2 (b - 0.3a) + b

Expand the expression.

0.8a - 2b - 2(-0.3a) + b

Determine the sign.

0.8a - 2b - 2*0.3a + b

Multiply the monomials.

0.8a - 2b +0.6a + b

Combine like terms.

1.4a - b

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Answer: 1.4a-b

Step-by-step explanation:

What is the ratio of 5 hours to 100 minutes

Answers

for this question you should know that 5 hours is equal to 300 minutes so the ratio of 300 minutes to 100 minutes is 300/100 which is equal to 3/1 or 3 :)))
i hope this is helpful
have a nice day

first 5x60=300
therefore... 300:100
300/50=6 and 100/50=2
6:2
therefore is 3/1

between 6am and 10am re temperature rose by 5 fahrenheit between 10am and 2pm the temperature rose by 6 fahrenheit between 2pm and 6pm the temperature rose by 0 celsius would you be able to tell how much the temperature rise since 6am why or why not

Answers

Yes, we can able to know the temperature difference from 6 AM to 6 PM.
We need to convert all the temperature into one unit.

6 AM - 10 AM ---> 5 F = -15 C
10 AM - 2 PM ---> 6 F = -14.44 C
2 PM - 6 PM ---> 0 C.

So the total increase is 15C

Allegra has a cell-phone plan that charges $65 per month and $0.10 for every minute that she uses the phone beyond what her plan allows. One month, she was billed $73.40.a. Define a variable for the unknown.
b. Write an equation to model the problem. Explain your answer.
c. Solve the equation. Show your work.
d. Find the number of minutes that Allegra went over the time that the plan allows. Explain your answer.

Please help me with this problem, I don’t understand it. Thanks in advance! :D

Answers

It seems confusing, but it's just breaking down the steps for you. It's done the same as any other word problem.
a. The unknown is how many minutes she used beyond the plan. So, we'll use "m" for the variable, to represent minutes.
b. 73.40 = 65 + 0.10m
   The 73.40 is the total, which is why it's by itself. 65 represents the price per month for the plan, and 0.10m is the price per extra minute multiplied by the unknown amount of minutes used.
c. 73.40 = 65 + 0.10m
   8.40 = 0.10m
   84 = m
d. The number of minutes that Allegra went over the time that the plan allows is found by solving the equation we just wrote and solved. $0.10 is paid for every minute past the plan's allowance, meaning that "m" in the equation, when solved, shows us exactly how many minutes over Allegra went.

4 5/6 divided by 7/8

Answers

Answer: 5 11/21

Step-by-step explanation:

the answer to 4 5/6 divided by 7/8 is 5 11/21

How do i find the fourth side of quadrilateral if three sides are given?

Answers

The length of a fourth side of a quadrilateral cannot be directly calculated from just the lengths of the other three sides. Additional information like the quadrilateral type, or types of angles within the quadrilateral, would be needed to calculate the length of the fourth side.

In mathematics, specifically geometry, the length of the fourth side of a quadrilateral (a shape with four sides) cannot be directly determined just by knowing the lengths of the three other sides. This is because a quadrilateral can be of multiple shapes such as squares, rectangles, parallelograms, trapezoids, etc., each having different properties.

However, if you have additional information like the types of angles within the quadrilateral or if it's a specific type of quadrilateral (rectangle, square, etc.), then you could possibly calculate the length of the fourth side.

For example, in a rectangle, opposite sides are equal so if you know three sides and know it's a rectangle, then the fourth side would be equal to the opposite side.

Without any additional information, there isn't a simple formula that can be used to directly calculate the length of the fourth side of any arbitrary quadrilateral.

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Answer:

$\mathrm{Well,\ just\ by\ knowing\ the\ length\ of\ sides,\ you\ won't\ be\ able\ to\ calculate\ the}\n\mathrm{fourth\ side,\ unless\ you\ know\ that\ is\ an\ especial\ type\ of\ quadrilateral\ (for}\n\mathrm{example:\ rectangle,\ parallelogram,\ rhombus,\ square,\ etc).\ You\ will\ also\ need}\n\mathrm{the\ two\ unknown\ angles\ between\ those\ three\ sides.\ You\ will\ get\ what\ I\ mean\ if}\n\mathrm{you\ look\ the\ below\ diagram:}$

$\mathrm{Of\ course,\ you\ won't\ know\ how\ far\ the\ points\ A\ and\ D\ are\ unless\ you\ know}\n\mathrm{\angle B\ and\ \angle\ C.\ }$

$\mathrm{This\ concept\ works\ for\ triangles\ too.\ You\ can't\ find\ the\ third\ side\ of}\n\mathrm{a\ triangle\ only\ by\ knowing\ the\ length\ of\ the\ other\ two\ sides.\ You\ need\ to\ know}\n\mathrm{the\ angles\ between\ the\ two\ given\ sides.}$

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