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charle [14.2K]
3 years ago
15

Mac's age is 3 years less than twice Joe's age. The sum of their ages is 30. Find their ages.

Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Answer:

Mac is 19 years old, Joe is 11 years old

Step-by-step explanation:

2J - 3 = M

J + M = 30

M = 30 - J

2J - 3 = 30 - J

3J = 33

J = 11

M = 30 - 11

M = 19

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astraxan [27]

Answer:

  • D) 125x²¹- 64y³  

Step-by-step explanation:

  • A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubes
  • B) 3x⁹ - 64y³ - the first term is not a cube
  • C) 27x¹⁵ - 9y³ - the second term is not a cube
  • D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

7 0
3 years ago
Read 2 more answers
I don’t get it. Please help thanks
Likurg_2 [28]

Answer:

$2,410.69

Step-by-step explanation:

$1,950 x 1.15 = $2,242.50 after 15% markup

$2,242.50 x 1.075 = $2,410.68 after the 7.5% sales tax.


or you can do:


$1,950 x 0.15 = $292.5 markup

$1,950 + $292.5 = $2,242.50

$2,242.50 x 0.075 = $168.19 for sales tax

$2,242.50 + $168.19 = $2,410.69 total

5 0
4 years ago
Ryan's unpaid credit card balance was $1853.68. His APR is 24.9%. What is his new balance after he makes one new transaction for
nataly862011 [7]

Answer:

  $2070.14

Step-by-step explanation:

Credit card terms vary, as do methods of computing interest and new balance. Here, we'll assume that no payment has been made (<em>in violation of the terms of the credit card</em>), and that the finance charge is only applied to the previous balance.

The finance charge is ...

  $1853.68 × 0.249 ÷ 12 = $38.46 . . . . . . . the monthly rate is 0.249÷12

Then the new balance will be the sum of the previous balance, finance charge, and new transaction(s):

  $1853.68 +38.46 + 178.00 = $2070.14

_____

<em>Comment on lack of payment</em>

Because no payment has been made, there may also be a late-payment charge added to the balance.

4 0
4 years ago
A rug is shaped like a rectangle whose perimeter is 276276 ftft. the length is 5 times as long as5 times as long as the width. f
ArbitrLikvidat [17]
Width = w

Length = 5w

Given,

Perimeter = 276 ft

5w * w = 276

w² = 55.2

--- w = 7.429670248402684 ≈ 7.43 ft

--- l = 5w = 5*7.43 = <span>37.14835124201342 </span>≈ 37.15 ft


4 0
3 years ago
You invest $300 at 4% interest, compounded every year. What will your balance be after 5 years? (Remember, the formula is A = P(
Stells [14]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill\\ P=\textit{original amount deposited}\to &\$300\\ r=rate\to 4\%\to \frac{4}{100}\to &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{every year, once} \end{array}\to &1\\ t=years\to &5 \end{cases} \\\\\\ A=300\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=300(1.04)^5\implies A\approx 364.996

3 0
3 years ago
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