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Umnica [9.8K]
3 years ago
12

During the month of may sells of tires in a diesel repair shop total $24,890 a 4.9% increase is expected for June what is the fo

recast total tire sales for June?
Mathematics
1 answer:
Alexxx [7]3 years ago
7 0
May = $24,890
May can be described as 100% (the starting amount)
We are increasing this amount by 4.9%
100% + 4.9% = 104.9%
We want a number that we can multiply by the original amount to get the new value
To turn a percentage into a multiplier, we divide by 100
104.9 / 100 = 1.049
Now, multiply 1.049 by the May sales to get the expected amount for June
$24,890 x 1.049 = $26,109.61
Expected Sales in June = $26,109.61
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Answer: 7500

Step-by-step explanation:

multiply 150 by 50

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Answer:

V = 1/3 ( 35)*12

Step-by-step explanation:

The volume is given by

V = 1/3 Bh

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What is 1/3 of eleven sixteenth
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8 0
3 years ago
A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
Nataly [62]

Answer:

The distance between the walls is 70 m.

Step-by-step explanation:

Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is

BE ⊥ ED and CD ⊥ ED

AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m

AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.

The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°

The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°

As shown is figure attached below.

WE have to find the distance between the walls that is Length of ED

Length of ED = EA + AD

Consider the Δ AEB,

Using trigonometric ratio,

\tan\theta=\frac{perpendicular}{base}

Here \theta=45^{\circ} , perpendicular = 30 m  and base we can find.

thus,

\tan 45^{\circ}=\frac{30}{EA}

We know \tan 45^{\circ}=1

thus, EA =  30 m

Consider the Δ AEB,

Using trigonometric ratio,

\cos\theta=\frac{base}{hypotenuse}

Here \theta=60^{\circ} , hypotenuse = 80 m  and base we can find.

thus, \cos 60^{\circ}=\frac{base}{80}

We know, \cos 60^{\circ}=\frac{1}{2}

thus, Base = 40 m

AD = 40 m

Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m

4 0
3 years ago
Tamar has four more quarters than dimes. If he has a total of $1.70, how many quarters
erma4kov [3.2K]
<h3>Answers:</h3><h3>6 quarters</h3><h3>2 dimes</h3>

================================================

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

35d+100 = 170

35d = 170-100 ..... subtract 100 from both sides

35d = 70

d = 70/35 ... divide both sides by 35

d = 2

He has 2 dimes

q = d+4

q = 2+4

q = 6

He also has 6 quarters

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

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

1 quarter = 25 cents

6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.

5 0
3 years ago
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