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strojnjashka [21]
2 years ago
9

1/6 (15a + 20b) = distributive properties

Mathematics
1 answer:
valentina_108 [34]2 years ago
7 0

Answer:

\frac{15a+20b}{6}     15a+20b/6

Step-by-step explanation:

\mathrm{Apply\:the\:fraction\:rule}:\quad \:a\cdot \frac{b}{c}=\frac{a\cdot \:b}{c}

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For Jason, it takes 3 hours to clean the attic. However, Sara takes 6
GREYUIT [131]

Answer:

2

Step-by-step explanation:

I think bc I just divide im guessing

7 0
3 years ago
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Ok ong i'm struggling and need help i've been up all night- Ill give brainlyest!!
Ipatiy [6.2K]

Answer:

  1. 1
  2. - 9
  3. 13
  4. 15

Step-by-step explanation

- 7(6x-1)+x=36

  1. => 42x - 7 + x = 36
  2. => 43x - 7 = 36
  3. => 43x =  36 + 6 = 43
  4. => x = 43 / 43 = 1

- 11-2(8+3p)=7²

  1. => 11 - 16 - 6p = 7^2
  2. => 11 - 16 - 6p = 49
  3. => -5 - 6p = 49
  4. => -6p = 49 + 5 = 54
  5. => p = (54) / (-6) = - 9

-  1/4(5b+11)=19

  1. => (5/4)b +  (11/4) = 19
  2. => (5/4)b = 19 - (11/4) = 65 /4
  3. => b = (65/4) / (5/4) => (65/4) * (4/5) = 13

- 2/7(4m-18)=12

  1. => (8/7)m - (36/7) = 12
  2. => (8/7)m = 12 + (36/7) = 120/7
  3. => m = (120/7) / (8/7) = 120 /8 = 15

3 0
3 years ago
$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent
photoshop1234 [79]

\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}

A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68

So the amount after 21 years is: $66328.68

7 0
3 years ago
You make $25000 a year, and you get a 10% raise. Your new salary is $____ The next year you get a 10% cut. Your new salary is $_
gtnhenbr [62]

Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): \$25000 \times 0.1=\$2500 . <em>$2500 is the 10% raise.</em>

Next, to find your first new salary, add $25000 and $2500 together: \$25000+\$2500=\$27500 . <u>$27500 is your new salary after the 10% raise.</u>

Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. \$27500 \times 0.1=\$2750 . <em>$2750 is your 10% cut.</em>

Next, since this is a cut, subtract $2750 from $27500. \$27500-\$2750=\$24750 . <u>$24750 is your new salary after the 10% cut.</u>

Next, to find the percentage change, firstly divide $24750 by $25000. \frac{\$24750}{\$25000}=0.99\ \textsf{or}\ 99\% . Now this shows that your current salary is 99% of what you used to make. It is <em>not</em> how much less you make. To find how much less it is, subtract 99% from 100%: 100\%-99\%=1\% . <u>Your current salary is 1% less than what you used to make.</u>

6 0
3 years ago
Solve this inequality for the set of whole numbers. 17 - 12 &gt; x Type the answer in this form: a &lt; 5 or b &gt; 12. Please h
Dahasolnce [82]

Answer:

A <5

Step-by-step explanation:

You simplify both sides of the inequality, then isolate the variable.

8 0
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