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2 years ago

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A textbook store sold a combined total of 290 math and history textbooks in a week. The number of math textbooks sold was 64 mor

e than the number of history textbooks sold. How many textbooks of each type were sold

1 answer:

11Alexandr11 [23.1K]2 years ago

4 0

Answer:

113

Step-by-step explanation:

290 - 64 = 226

226 ÷ 2 = 113

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Target sells a pack of iTunes gift cards for $40. Sam's Club sells them for $38.88. What is the percent decrease from Target's p

patriot [66]

We have been given that target sells a pack of iTunes gift cards for $40. Sam's Club sells them for $38.88. We are asked to find the percent decrease from Target's price to Sam's Club's price.

We will use percent decrease formula to solve our given problem.

$\text{Decrease percent}=\frac{|\text{Final}-\text{Initial}|}{\text{Initial}}\times 100\%$

$\text{Decrease percent}=\frac{|38.88-40|}{40}\times 100\%$

$\text{Decrease percent}=\frac{|-1.12|}{4}\times 10\%$

$\text{Decrease percent}=\frac{1.12}{4}\times 10\%$

$\text{Decrease percent}=0.28\times 10$

$\text{Decrease percent}=2.8\%$

Therefore, the percent decrease from Target's price to Sam's Club's price is 2.8%.

3 0

3 years ago

The deck of a card game is made up of 108 cards. Twenty-five each are red, yellow, blue, and green, and eight are wild cards. Ea

Vinvika [58]

Given Information:

Total cards = 108

Red cards = 25

yellow cards = 25

Blue cards = 25

Green cards = 25

Wild cards = 8

Required Information:

Probability that a hand will contain exactly two wild cards in a seven-hand game = ?

Answer:

P = (₈C₂*₁₀₀C₅)/₁₀₈C₇

Step-by-step explanation:

The required probability is given by

P = number of ways of interest/total number of ways

The total number of ways of dealing a seven-card hand is

₁₀₈C₇

We want to select exactly 2 wild cards and the total wild cards are 8 so the number of ways of this selection is

₈C₂

Since the game is seven-card hand, we have to get the number of ways to select remaining 5 cards out of (108 - 8 = 100) cards.

₁₀₀C₅

Therefore, the setup for this problem becomes

P = number of ways of interest/total number of ways

P = (₈C₂*₁₀₀C₅)/₁₀₈C₇

This is the required setup that we can type into our calculators to get the probability of exactly two wild cards in a seven-hand card game with 8 wild cards and 108 total cards.

7 0

3 years ago

The following are the ages (years) of 5 people in a room:

juin [17]

Answer:

10

Step-by-step explanation:

14+14+18+18+22=86

6*16=96

96-86=10

7 0

2 years ago

Read 2 more answers

The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of

lilavasa [31]

Answer:

1. $\boxed{\text{400 ft}^{2}}$ ; 2. $\boxed{\frac{1}{3716}}$

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is

A = l² = (20 ft)² = $\boxed{\text{400 ft}^{2}}\\$

Step 2. Calculate the area ratios

We must express both areas in the same units.

Let's express the area of the room in square centimetres.

l = 20 ft × (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

$\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\$

The ratio of the area in the drawing to the actual area is $\boxed{\frac{1}{3716}}$

8 0

3 years ago

from the edge of a cliff 180m high, the angles of depression of two boats at sea are 43° and 52° respectively what is the distan

MrRa [10]

tan 52 = 180/a; a = 180/tan 52

tan 43 = 180/b; b = 180/tan 43

you need to calculate, a-b = 180/tan 52 - 180/tan 43

substitute the value of tan thetas, and calculate it simply...

8 0

3 years ago