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djyliett [7]
3 years ago
11

Grace has a net spendable income of $1,700 per month. She decides to check her expenses for the previous month and adjust her bu

dget. Expenses Housing $510 Food $204 Transportation $255 Insurance $51 Debts $0 Entertainment $85 Clothing $85 Savings $85 Medical $0 Miscellaneous $85 Grace then adjusts her budget for her main expense categories. Old Budget New Budget Housing $510 Housing $510 Food $204 Food $254 Transportation $295 Transportation $295 Insurance $51 Insurance $51 Debts $25 Debts $0 Entertainment $85 Entertainment $100 Clothing $85 Clothing $100 Savings $85 Savings $100 Medical $85 Medical $0 Miscellaneous $85 Miscellaneous $100 Evaluate Grace's new budget.
Mathematics
2 answers:
Aliun [14]3 years ago
3 0
<span>She is going over budget. She is putting less than the recommended percentage of her income into the savings category. She is putting the minimum recommended percentage of her income into all categories except debt. She is putting less than the recommended percentage of her income into the clothing, medical, and miscellaneous categories.</span>
raketka [301]3 years ago
3 0

Answer:

the answer is A

Step-by-step explanation:

PLATO

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What is the solution to 4 (m-3) + 19 = 8 (2m + 3) + 7?
Flauer [41]

Answer:

x=-2

Step-by-step explanation:

Let m=x

4(x-3)+19=8(2x+3)+7\\

Expand the parentheses:

4x-12+19=16x+24+7\\4x+7=16x+31\\-31+7=16x-4x\\-24=12x\\x=-2

<em>Hope this helped! If you have any more questions regarding the explanation, please comment below, have a good day!</em>

6 0
2 years ago
In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. There are 75 total red and yellow flowers. How many re
sweet [91]

Answer: there are 25 red flowers in Sakura's garden.

Step-by-step explanation:

In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. This means that if there are 10 red flowers, there would be 20 yellow flowers. if there are 20 red flowers, there would be 40 yellow flowers. Therefore, the ratio of red flowers to yellow flowers in the garden is

5/10 = 10/20 £= 20/40 = 1/2 = 1:2

Total ratio = 2 + 1 = 3

If there are 75 total red and yellow flowers, then the total number of red flowers are in Sakura's garden would be

1/3 × 75 = 25

8 0
3 years ago
The value of a car reduces by 30% every 6 months. A car costs $15,000 when new. What is the value of the car after 2 years?
Allisa [31]
6 months goes into 2 years 4 times
30 x 4 = 120
120% of 15,000 is
100% is 1,500
10% is 150
150 x 2 = 300 (20%)
1,500+300=1,800
15,000+1,800=16,800
hope this helped
3 0
3 years ago
2/7m-1/7=3/14 solve step by step
yulyashka [42]

Solution for \frac{2}{7}m - \frac{1}{7} = \frac{3}{14} \ is \ m = \frac{5}{4} \ or \ m = 1\frac{1}{4} \ or \ m = 1.25

<h3>Further explanation</h3>

It is a case about one variable linear quations and we have to solve the equation to get the variable m. There are two ways to solve it!

Our main plan is to isolate the variable m alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.

<u>First way</u>

\frac{2}{7}m - \frac{1}{7} = \frac{3}{14}

Let us add \frac{1}{7} to both sides

\frac{2}{7}m - \frac{1}{7} + \frac{1}{7} = \frac{3}{14} + \frac{1}{7}

\frac{2}{7}m = \frac{3}{14} + \frac{1}{7}

On the right side for the addition operation, we equate the common denominator by multiplying \ \frac{1}{7} \ by \ \frac{2}{2}

\frac{2}{7}m = \frac{3}{14} + \frac{2}{14}

Then we combine terms to get

\frac{2}{7}m = \frac{5}{14}

Divide by the coefficient of m, or in other words, multiply both sides by \frac{7}{2}

\frac{2}{7}m \times \frac{7}{2} = \frac{5}{14} \times \frac{7}{2}

Finally, the solution is obtained as follows

m = \frac{35}{28}

Simplify fractions, both the numerator and denominator are divided equally by 7.

\boxed{ \ m = \frac{5}{4} \ }

Convert into mixed fractions, we get:

\boxed{ \ m = 1 \frac{1}{4} \ }

In decimal form, we get

m = 1 \frac{25}{100} \rightarrow \boxed{ \ m = 1.25 \ }

<u>Second way (a quick way)</u>

\frac{2}{7}m - \frac{1}{7} = \frac{3}{14}

Because the denominators 7 and 14 have LCM = 14, both sides are multiplied by 14 (LCM is the Least Common Multiple)

14 \times \big( \frac{2}{7}m - \frac{1}{7} \big) = 14\times \big( \frac{3}{14} \big)

We use the distributive property of multiplication on the left side

\frac{28}{7}m - \frac{14}{7} = \frac{42}{14}

or it can also directly lead to

4m - 2 = 3

Add 2 to both sides, we get

4m = 5

Divide by the coefficient of m, or in other words, both sides are divided by 4

\boxed{ \ m = \frac{5}{4} \ }

Or, \boxed{ \ m = 1 \frac{1}{4} \ }

Or, m = 1 \frac{25}{100} \rightarrow \boxed{ \ m = 1.25 \ }

Wanna check the solution into the equation?

\big( \frac{2}{7} \times \frac{5}{4} \big) - \frac{1}{7} = \frac{3}{14}

\frac{10}{28} - \frac{1}{7} = \frac{3}{14}

\frac{5}{14} - \frac{2}{14} = \frac{3}{14}

\frac{3}{14} = \frac{3}{14}

Both sides show the same value, so the solution is correct.

Note:

Remember, how to manipulate both sides of the equation with the algebraic properties of equality such as:

  • adding,
  • subtracting,
  • multiplying, and/or
  • dividing both sides of the equation with the same number.

In the form of fractions, the steps that must be considered are

  • equate the denominator,
  • simplify fractions, and
  • for the final answer, convert fractions to mixed fractions or decimal forms

All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation.

<h3>Learn more</h3>
  1. A word problem that forms a single variable linear equation brainly.com/question/1566971
  2. Learn more about the single variable linear equation that has no solution, has one solution, and has infinitely many solutions brainly.com/question/2595790  
  3. Questioning the stages of solving a word problem about one variable linear equations brainly.com/question/2038876
<h3>Answer details  </h3>

Grade : Middle School

Subject : Mathematics

Chapter : Linear Equation in One Variable

Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14,  5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal

4 0
3 years ago
Read 2 more answers
EXPLAIN how you find the volume of hexagonal
Slav-nsk [51]
To find the volume of a regular hexagonal prism, we can use the formula V = 3ash, where a = apothem length, s = length of a side of the base, and h = height of the prism.
5 0
3 years ago
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