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3 years ago

5

John is living in New York, where the state sales tax is 8%. The total cost of his purchase was $50.00. What was the original pr

ice of the items before tax?

1 answer:

bogdanovich [222]3 years ago

6 0

Let p be the pre-tax cost. Then 1.08p = $50. Solving for p, the pre-tax cost, we get:

p = ($50) / (1.08) = $46.30.

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5/8 of the 64 musicians in a music contest are guitarists. Some of the guitarists play jazz solos, and the rest play classical s

motikmotik

The first thing we must do for this case is find the number of total guitarists.

We have then:

$(\frac{5}{8}) * (64) = 40$

We now look for the relationship between the number of guitarists playing jazz alone to the total number of guitarists.

We have then:

$\frac{x}{40} = \frac{1}{4}$

Where,

x: number of guitarists playing jazz alone

From here, we clear the value of x.

$x = (\frac{1}{4}) * (40)\\x = 10$

Then, the number of guitarists who play classical solo is:

$40 - 10 = 30$

Answer:

30 guitarists play classical solos in the contest

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3 years ago

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Which equation has infinitely many solutions?

erma4kov [3.2K]

The fourth one has many

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3 years ago

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Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. Write an inequality to find the numbe

jeyben [28]

Since the question only asks for bagels, put the cream-cheese idea aside.
The total spent has to be less than $7 so an equation can be this: $0.75x<$7 where x is the number of bagels

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3 years ago

(5, 4.07, 5.26, 4.3, 5.02) <br><br> 5.02 < ?

aleksandr82 [10.1K]

Answer:

5.26

Step-by-step explanation:

Of the numbers given, opnly 5.26 is larger than 5.02.

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3 years ago

The image of the point (4. 9) under a translation is (9. 13). Find the coordinates

gavmur [86]

Answer:

<em>The coordinates of the image are (10,6)</em>

Step-by-step explanation:

<u>Translation</u>

A point located at (x,y), translated by (a,b) maps to the point (x+a,y+b).

If we know the location of the point (x,y) and the location of its image (x',y'), we can know the values of (a,b) by subtracting:

(a,b) = (x',y') - (x,y)

We know the coordinates of the point (4,9) and the coordinates of its image (9,13). Calculate the translation:

(a,b) = (9,13) - (4,9) = (5,4)

If the point (5,2) is translated under the same conditions, then it will map to the point (5,2) + (5,4) = (10,6).

The coordinates of the image are (10,6)

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2 years ago