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sp2606 [1]
3 years ago
10

A watch is $99. There is a 40% discount and an 8% sales tax. What is the final price

Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:

$64.15

Step-by-step explanation:

1.08(99(1-0.4))

99x0.6=59.4

59.4x1.08= 64.152

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A machine paints 340 toy boats in 45 minutes.Which expression equals the rate per hour?
Elenna [48]

Answer:

The expression for rate per hour is \frac{340}{45}\times 60.

Explanation:

Given:

A machine paints 340 toy boats in 45 minutes.

To Find:

Expression equals the rate per hour?

Solution:

Finding the expression for rate per minute:

\text{{The rate per minute expression}} =\frac{\text{{ (number of toys painted in time given)}}}{\text{{(number of minutes taken)}}}

So, rate per minute expression is \frac{(340 toys)}{(45 minutes)} = \frac{340}{45}

Then, rate per hour expression \text{{rate per minute}}\times 60 minutes

So, rate per hour expression is \frac{340}{45}\times60 minutes= 453.334 toys per hour.

Hence, the expression for rate per hour is \frac{340}{45}\times 60

8 0
3 years ago
When (81x^2/7) (2/9x^3/7) is simplified, it can be written in the form ax^b where a and b are real numbers. Find ab.
larisa86 [58]

Answer:

In improper form your solution will be \frac{90}{7}. As a mixed fraction it will be 12\frac{6}{7}.

Step-by-step explanation:

The first thing we want to do here is to simplify this expression. After doing so, " a " and " b " should be multiplied to result in a possible improper fraction,

\left(81x^{\frac{2}{7}}\right)\:\left(2/9x^{\frac{3}{7}}\right)\: - Apply exponential rule " \:a^b\cdot \:a^c=a^{b+c} "

= 81\cdot \frac{2}{9}x^{\frac{2}{7}+\frac{3}{7}} - Combine fractions \frac{2}{7} and \frac{3}{7}

= 81\cdot \frac{2}{9}x^{\frac{5}{7}} - Multiply the fractions, and simplify further

= \frac{162x^{\frac{5}{7}}}{9} = 18x^{\frac{5}{7}} - This is out simplified expression

Now that we have this simplified expression, we can see that a = 18, and b = \frac{5}{7}. Therefore, multiplying the two we should receive the improper fraction as follows,

18 * \frac{5}{7} = \frac{90}{7} - Note that this is in improper form. If you want your solution in a mixed fraction, it will be 12\frac{6}{7}.

5 0
3 years ago
Help help help help help help help help help help help <br><br> Pls
Pie

Answer:

$7.10

Step-by-step explanation:

Step 1: We make the assumption that 35.5 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=35.5$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=35.5(1)$.

$x\%=20(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

Step 7: Taking the inverse (or reciprocal) of both sides yields

Hope this helps <3

3 0
2 years ago
Read 2 more answers
A square plastic tarp has a perimeter of 68 meters. How long is each side of the tarp?
alina1380 [7]

Answer:

17 meters

Step-by-step explanation:

The perimeter is the addition of all sides. Since the perimeter is 68 meters and a square has 4 sides, we can divide 68 by 4 and we get 17.

7 0
3 years ago
Read 2 more answers
John rode 4 kilometers on his bike his sister sally rode 3400 meters on her bike who rode the farthest and how much farther did
emmasim [6.3K]
4 kilometres is 4000 meters

4000 meters - 3400 meters = 600 meters

and as John is the one that rode 4 kilometres he rode further and by 600 meters
7 0
3 years ago
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