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3 years ago

7

Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practiced both today. How many days until Camryn

practices both the flute and trumpet again?

1 answer:

SpyIntel [72]3 years ago

5 0

Multiples of 11:
11, 22, 33, 44, 55

Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33

Camryn will practice both on the 33th day.

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If you rent a car for one day and drive it for 100 miles, the cost is $40.00. If you drive it 220 miles, the cost is $46.00.

attashe74 [19]

Now, if x = 300 miles, then

y= 1/20*300 + 35

y = 15 + 35

y = 50, therefore it would cost $50.00 to drive the rental car 300 miles.

7 0

3 years ago

Mary borrowed $700 from a bank for 3 years and was charged simple interest. The total interest that she paid on the loan $42. As

Mashcka [7]

Answer:

2 %

Step-by-step explanation:

Money borrowed, Principal, P = $ 700

time of investment, T = 3 years

Total interest paid, Simple interest, S.I = $ 42

Let the rate of interest is R.

Use the formula for simple interest.

$S.I. =\frac{P\times R\times T}{100}$

By substituting the values

$42 =\frac{700\times R\times 3}{100}$

4200 = 2100 R

R = 2 %

Thus, the rate of interest is 2%.

3 0

3 years ago

What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27

nignag [31]

Answer:

y = -18

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = 5x - 3

3x - 2y = 27

<u>Step 2: Rewrite systems</u>

Define: 3x - 2y = 27
Add 2y on both sides: 3x = 2y + 27
Divide 3 on both sides: x = 2/3y + 9

<u>Step 3: Redefine</u>

y = 5x - 3

x = 2/3y + 9

<u>Step 4: Solve for </u><em><u>y</u></em>

Substitute in <em>x</em>: y = 5(2/3y + 9) - 3
Distribute 5: y = 10/3y + 45 - 3
Combine like terms: y = 10/3y + 42
Subtract 10/3y on both sides: -7/3y = 42
Divide -7/3 on both sides: y = -18

8 0

3 years ago

Solve 20 - x/3 = x/2 , put the number only in the box.

Nikitich [7]

Answer:

<h2>x = 24</h2>

Step-by-step explanation:

$20 - \frac{x}{3} = \frac{x}{2}$

Multiply through by the LCM that's 6 in order to eliminate the fraction

That's

$6 \times 20 - 6 \times \frac{x}{3} = 6 \times \frac{x}{2} \\ 120 - 2x = 3x$

Using the addition property add 2x to both sides of the equation

That's

$3x + 2x = 120 + 2x - 2x \\ 5x = 120$

<u>Divide both sides by 5</u>

$\frac{5x}{5} = \frac{120}{5}$

We have the final answer as

<h3>x = 24</h3>

Hope this helps you

4 0

2 years ago

Read 2 more answers

Evaluate the integral <br><br> ∫_0^1{36dx/((2x+1)^3)}

german

$36 \int\limits^1_0 { \frac{1}{(2 x + 1) ^{3} } } \, dx =$
u = 2 x + 1, d u = 2 d x, d x = d u / 2
$36*1/2 \int\limits^1_0 {u ^{-3} } \, du = 18 * t ^{-2}/(-2) = \\ - 9 * t^{-2}= \\ -9 * ( 2 x + 1 ) ^{-2}$
- 9 / ( 2 + 1 )² - ( - 9 / ( 0 + 1 )² =
- 9 / 9 + 9 = - 1 + 9 = 8

3 0

3 years ago