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jekas [21]
2 years ago
11

Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?

Mathematics
1 answer:
klasskru [66]2 years ago
5 0

Answer:

6 and 18

6+6=12

18+6=24

12x2=24

Unless a number is given it is mainly trial and error so guessing numbers that fit the first part of Ax3=B

Step-by-step explanation:

You might be interested in
9 x 7 = ( x 7) – (1 x 7)<br> = 70-<br> =
WARRIOR [948]

Answer:

63

Step-by-step explanation:

9x7=(10x7)-1x(7)

=70-7

=63

8 0
3 years ago
5x + 3 - 2x = 12 + 7x - 2 solution ??? SOMEONE HELPPP PLEASE !!
tensa zangetsu [6.8K]

Answer:

x = -7/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

5x + 3 - 2x = 12 + 7x - 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                                                                                        3x + 3 = 7x + 10
  2. [SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10
  3. [SPE] Subtract 10 on both sides:                                                                      -7 = 4x
  4. [DPE] Divide 4 on both sides:                                                                         -7/4 = x
  5. Rewrite:                                                                                                           x = -7/4

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
  2. Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2
  3. Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2
  4. Add:                                      -9/4 = 12 - 49/4 - 2
  5. Subtract:                               -9/4 = -1/4 - 2
  6. Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

8 0
2 years ago
Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?
VikaD [51]

\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\&#10;\\&#10;\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\&#10;\\&#10;\text{We know that there are 60 minutes in 1 hour. }\\&#10;\\&#10;\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}

\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\&#10;\\&#10;\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\&#10;\\&#10;=3\text{ hours}+0.2 \text{ hours}\\&#10;\\&#10;=3.2 \text{ hours}

Hence, Jake's running time in decimal is: 3.2 hours

4 0
3 years ago
9times 27 plus 2 times 31 minus 28
irinina [24]
The answer is 277 for your question
3 0
3 years ago
In 1990, the population of Boston, Massachusetts was 574,283. In 2000, the population was 589,141. What is the percent of change
MrMuchimi

Answer:

Percent of change in population is 2.6%

Step-by-step explanation:

Given population of Boston is 574,283 measured in year 1990.

And population of Boston in year 2000 is 589,141.

We need to find percent of change in population.

So, percent change =\frac{New\ population-Old\ population}{Old\ population}\times100%

Here old population is 574,283 and new population is 589,141

Plugging these value in formula we get,

Percent change =\frac{589,141-574,283}{574,283}\times100\\\\=\frac{14858}{574,283}\times100=0.0258\times100\\\\=2.587

Rounding to nearest tenth 2.6%

8 0
3 years ago
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