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2 years ago

Evaluate and reduce:

Mathematics

1 answer:

katen-ka-za [31]2 years ago

3 0

The numbers that belongs in the green box=31
-5/8 + 9/2
-5+36/8
31/8
So the exact answer is 31.

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A bicycle has a listed price of $803.98 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sale

konstantin123 [22]

Step-by-step explanation:

$803.98 before tax

x 8.75%

_______

$ 70.35 tax to pay

$803.98 before tax

+ 70.35 tax to pay

_______

$874.33 to pay for bicycle

8 0

1 year ago

What is 75+63×4+234-564

erastovalidia [21]

The answer I'd 222 because you add 75 +63=138 and you multiple 138 ×4=552 and 552 +234=786and then 786-564=222

6 0

3 years ago

Anna enjoys having dinner at a restaurant in a town where the sales tax on meals is 10%. She leaves 15% tip before the sales tax

vitfil [10]

Answer:

The cost of her dinner without tax or tip is $22.

Step-by-step explanation:

Given:

Anna enjoys having dinner at a restaurant in a town where the sales tax on meals is 10%.

She leaves 15% tip before the sales tax is applied, and the tax is calculated on the pre-tip amount.

She spends a total of $27.50 on her dinner.

Now, to find the cost of her dinner without tax or tip.

Let the cost of dinner without tax or tip be $x.$

So, the tax is:

$10\%\ of\ x.$

$=\frac{10}{100} \times x$

$=0.10\times x$

$=0.10x.$

And, the tip is:

$15\%\ of \ x.$

$=\frac{15}{100} \times x$

$=0.15\times x$

$=0.15x.$

As given, she spends a total $27.50 on her dinner.

Now, to get the cost of her dinner without tax or tip:

$x+0.15x+0.10x=27.50$

$x+0.25x=27.50$

$1.25x=27.50$

Dividing both sides by 1.25 we get:

$x=22$

$x=\$22.$

Therefore, the cost of her dinner without tax or tip is $22.

5 0

3 years ago

A movie theater has increased their ticket prices. They are shown below

hram777 [196]

Answer:

k = 12

Step-by-step explanation:

Given in the question,

Cost of the the movie tickets is proportional to the number of tickets sold.

Cost of movie tickets (C) ∝ number of tickets sold (T)

C ∝ T

C = kT

Here 'k' is a proportionality constant.

Since, line given in the graph passes through a point (5, 60)

60 = k(5)

k = $\frac{60}{5}$

k = 12

Therefore, value of proportionality constant is 12.

6 0

3 years ago

A rocket is launched at t = 0 seconds. Its height, in meters above sea-level, is given by the equation

gogolik [260]

Answer:

Step-by-step explanation:

In order to find out how long it takes for the rocket to hit the ground, we only need set that position equation equal to 0 (that's how high something is off the ground when it is sitting ON the ground) and factor to solve for t:

$0=-4.9t^2+112t+395$

Factor that however you are factoring in class to get

t = -3.1 seconds and t = 25.9 seconds.

Since time can NEVER be negative, it takes the rocket approximately 26 seconds to hit the ground.

8 0

3 years ago