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Rina8888 [55]
3 years ago
12

There is a 6.5% tax on a $750 refrigerator. How much is paid altogether for the refrigerator?

Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0

Answer:

The total price of the refrigerator is $798.75.

Step-by-step explanation:

6.5% of $750 is $48.75

So, $750 plus $48.75 equals $798.75.

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What I the slope of the equation of the line below.
Goshia [24]

Answer:

<h2>the slope m = 3</h2>

Step-by-step explanation:

Look at the picture.

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have the points (0, 4) and (-2, -2). Substitute:

m=\dfrac{-2-4}{-2-0}=\dfrac{-6}{-2}=3

5 0
3 years ago
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A ski Gondola cabin can safely carry X number of people that are already 2/3 x people in the cabin went on another 15 or allowed
Strike441 [17]
30 people are already in the cabin.

If there’s 2/3 of the people that the cabin can carry, and 15 more can board, the 15 is the remaining 1/3, so to get the other 2/3 that we don’t know, you multiply 15 by 2, to get 30.

So all together, the cabin can carry 45 people.

Hope this helps!
4 0
3 years ago
Solve the equation for x. 10x= 120​
Dominik [7]

Answer:

x = 12

Step-by-step explanation:

10x = 120                 original equation

10x/10 = 120/10       divide both sides by 10

x = 12                       simplify

Check work:

10(12) = 120

120 = 120 (true)

6 0
3 years ago
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The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio
AnnZ [28]

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

  • The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; \displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

\displaystyle a  = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}

Therefore;

\displaystyle a  = \frac{10 -9}{2} = 0.5

b = The cycle speed

The period, T, is given as follows;

\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}

The period of a block, T = 12 hours

Therefore;

\displaystyle b = \frac{2 \cdot \pi}{T}

\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}

\displaystyle d  = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5

At t = 0, H = The highest point = 10 ft.

Which gives;

\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0  -c\right) + 9.5} = 10

\displaystyle  cos \left( -c\right)  = \frac{0.5}{0.5}  = 1

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}

The above equation is the same as; <u>H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5</u>

Learn more about the cosine function here:

brainly.com/question/4458343

brainly.com/question/24368105

4 0
3 years ago
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The square of a number is increased by 27 and the result is 148. Find all possible solutions for the number.
professor190 [17]

Answer:

121

Step-by-step explanation:

8 0
3 years ago
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