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klemol [59]
2 years ago
14

Caleb bought groceries and paid $1.60 in sales tax.the sales tax rate is 2.5% What was the price of Caleb’s groceries,before tax

Mathematics
1 answer:
Goryan [66]2 years ago
7 0

Let price of the Caleb's groceries was $x.

Given that tax rate is 2.5% or 0.025

Then sales tax is given by product of 0.025 and x.

which is 0.025x.

Given that tax paid is $1.60 so both must be equal

0.025x=1.6

divide both side by 0.025

x=1.6/0.025

x=64

Hence final answer is $64.

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A big cruise ship dropped anchor off the Caribbean island of Antigua. The heavy anchor dropped into the water at a rate of 2.5 m
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Answer:

1) The anchor was  released from 72.5 meters above the water's surface.

2)The anchor took 29 seconds to reach the water's surface

Step-by-step explanation:

The rate of drop of anchor = 2.5 meters per second

So, total depth covered by anchor after 45 seconds

= 2.5 meters x 45 seconds

= 112.5 meters

But after 45 minutes, the anchor was 40 meters deep.

So, extra distance traveled by anchor = Total distance covered by anchor - depth of water

= 112.5 meters  - 40 meters  =  72.5 meters

Hence, the anchor was  released from 72.5 meters above the water's surface.

Now, speed of anchor = 2.5 m/sec

So, total time taken to cover extra 72. 5 meters = 72. 5 meters / 2.5 m/sec

= 29 seconds

Hence, the anchor took 29 seconds to reach the water's surface.

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2 years ago
A group of friends wants to go to the amusement park. They have $469.75 to spend on parking and admission. Parking is $10.75, an
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Answer:

12

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469.75-10.75 =

459 ÷ 38.25 =

12

8 0
1 year ago
Mr. Reeves buys granola bars to sell at the concession stand. He predicts that the concession stand will sell 25 granola bars at
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Answer:

He should buy 4 boxes

Step-by-step explanation:

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2 years ago
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A football coach needs to divide 48 players into two groups. He wants the ratio of the players in group 1 to players in group 2
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In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, Measure of angle G = 80 degrees, and Measure of angle H = 55 degrees. If Triangle A
aalyn [17]

Question:

In triangle FGH, FG = 12.3 cm, GH = 10.6 cm, m angle G=80 degrees, and m angle H=55 degrees. If triangle ABC GHF, which statement is true?

(A) AB = 12.3 cm

(B) AB = 10.6 cm

(C) m∠C = 55°

(D) m∠C = 80°

Answer:

Option B:

AB = 10.6 cm

Solution:

The image of the triangle is attached below.

In ΔFGH,

FG = 12.3 cm, GH = 10.6 cm, m∠G = 80° and m∠H = 55°

Option A: AB = 12.3 cm

Given ΔGHF \sim ΔABC.

Corresponding parts of congruence triangles are congruent.

GH = AB = 10.6 cm

So, option A is not true.

Option B: AB = 10.6 cm

Already proved in option A that AB = 10.6 cm

So, option B is true.

Option C: m∠C = 55°

ΔGHF \sim ΔABC

Corresponding parts of congruence triangles are congruent.

m∠G = m∠A = 80°

m∠H = m∠B = 55°

Sum of the angles of a triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 80° + 55° + m∠C = 180°

⇒ m∠C = 180° – 80° – 55°

⇒ m∠C = 45°

So, option C is not true.

Option D: m∠C = 80°

Already proved in option C that m∠C = 45°.

So, option D is not true.

Hence option B is the true statement that AB = 10.6 cm.

7 0
2 years ago
Read 2 more answers
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