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2 years ago

5

Lins father is paying for a 20 dollar meal. He has a 15% - off coupon for the meal. After the discount, a 7% sales tax is applie

d

1 answer:

fredd [130]2 years ago

8 0

Answer 18.19

20x0.85=17
17x(1.07)=18.19

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4. Miguel is helping his mom paint his home. He finished 2 rooms in ⅓ of an hour. How many rooms can he paint in 1 hour?

lilavasa [31]

Answer: 6

Step-by-step explanation:

Let's use a rule of three here.

2 rooms in 1/3 h

x rooms in 1 h

$\frac{2}{x}=\frac{\frac{1}{3} }{1}$

Solve for x;

$x=\frac{2*1}{\frac{1}{3} }$

Remember that when you divide by a fraction, you invert the fraction and multiply by the numerator.

1/3 inverted is 3/1 or 3

$x=(2*1)*3$

$x=(2)*3\\x=6$

8 0

3 years ago

If sin (x-3)° = cos (2x + 6)°, then what is the value of x?

Travka [436]

Answer:

if sin (x-3) degrees = cos (2x+6) degrees, find the value of x.

----------

Note: sin and cos are complementary functions....

sin(x) = cos (90-x)

-------------------

Your Problem:

sin(x-3) = cos(90-(x-3))

Equation:

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29

Step-by-step explanation:

6 0

3 years ago

A pile of 15 boxes is 3 metres high. What is the depth of each box?

schepotkina [342]

Answer:

15 boxes=3m=300cm

1 box=300cm÷15

=20cm

5 0

3 years ago

Read 2 more answers

Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago

Decorations for a seventh-grade dance take 1/6 of the student council's budget. entertainment takes 3/8 of the budget. what frac

defon

Answer:

11/24 is left over

Step-by-step explanation:

1/6 + 3/8 = 13/24

24/24 - 13/24 = 11/24

11/24 of the budget is left over

Hope this helps

5 0

2 years ago

Read 2 more answers