Jessica is baking a cake. The recipe says that she has to mix 32 grams

Jessica is baking a cake. The recipe says that she has to mix 32 grams of vanilla powder to the flour. Jessica knows that 1 cup of vanilla powder has a mass of 128 grams. She added ¼ cup of vanilla to the flour. Should she add more vanilla powder to make the exact recipe, did she go over, or did she use the perfect amount? How do you know?

2 months ago

Solution 1

Guest Guest #5850
2 months ago
The expression 32/128 equals the amount of vanilla powder she needs to add to the cake because 32 is the amount of grams she needs to add and 128 is the amount of grams in a cup this expression is good because it represents the amount vanilla powder Jessica needs to add in cups since 32/128 simplifies to 1/4 Jessica needs to 1/4 of a cup of vanilla powder.

Answer: she used the perfect amount  

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One of Maria and Josie’s early tasks is printing and laminating signs to hang at local businesses around town. Working alone, Maria could print and laminate the signs in 4 hours. Josie, however, has better laminating equipment, so she could get the job done by herself in 2 hours. If each works for the same amount of time, how long will it take them working together to print and laminate the signs? Start by filling in the table with the missing values or expressions. Note that rate of work is a unit rate that describes the amount of the job completed in one hour.
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Working together, it takes them 1 1/3 hours to complete the job.

Maria works at a rate of 1/4 of the job per hour, since she completes 1 job in 4 hours.
Josie works at a rate of 1/2 of the job per hour, since she completes 1 job in 2 hours.

Let x be the total number of hours it takes.
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1/4x + 1/2x = 1

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The mean distance ran by all four of them is 30.

What are algebraic expressions?

  • In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
  • Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that during one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles.

  • A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.
  • Mathematically, we can write -

       ${\displaystyle {\bar {x}}={\frac {1}{n}}\left(\sum _{i=1}^{n}{x_{i}}\right)={\frac {x_{1}+x_{2}+\cdots +x_{n}}{n}}}

We can write the mean as -

m = (36 + 26 + 30 + 28)/4

m = 120/4

m = 30

Therefore, the mean distance ran by all four of them is 30.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Solution 2
B.) 30 miles

You needed to add all the numbers together then divide by the amount of numbers there which is 4. (ex: 36 + 26 + 30 + 28 = 120  120÷4= 30)

hope that helps!
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Your gross income is $4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savings account at a 3.8% APR. What is the total amount of your emergency fund?
Solution 1

Answer:

$11,406.20

Step-by-step explanation:

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11.75% of 4520 is

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Reason: 
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Solution 2

Answer: B. Theoretical probability

Step-by-step explanation: Theoretical probability is based on calculations, and not actual tests.