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irinina [24]
4 years ago
11

Roland has 3 paperback books and 4 hardcover books. Each hardcover book is worth $11 more than each paperback book. If the value

of all of his books is $79, what is the cost of one paperback book?
Mathematics
1 answer:
solong [7]4 years ago
7 0

Answer:

$5

Step-by-step explanation:

Let cost of paperback book be "p"

and

Cost of hardcover book be "h"

Each hardcover is $11 more than each paperback, thus we can write:

h = p + 11

3 paperbacks at "p" each and 4 hardcovers at "h" each totals 79, thus we can write:

3p + 4h = 79

We can now put the 1st equation in 2nd equation and find "p" (cost of paperback book). Shown below:

3p + 4h = 79\\3p + 4(p+11) = 79\\3p + 4p + 44 = 79\\7p = 79 - 44\\7p = 35\\p = \frac{35}{7}\\p = 5

Hence, each paperback book costs $5

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A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at
netineya [11]

Answer: Option "B" is correct.

Step-by-step explanation:

Since we have given that

α= 0.10

Let the population variances are equal and samples are random and independent.

Let \bar{x} be the mean amount spent by a customer at Burger Stop.

Let \mu be the mean amount spent by customer at Fry World.

So, it has given that

the mean amount is spent by a customer at Burger stop is greater than the mean amount spent by a customer at Fry World.

So, Hypothesis would be :

H_0:\bar{x}=\mu\\\\H_1:\bar{x}>\mu

Hence, Option "B" is correct.

3 0
3 years ago
(a) State the Cauchy-Schwarz inequality in an equation, in words, and in a planar sketch. (b) Use part (a) to give all solutions
valentinak56 [21]

Complete question

The complete question is shown on the first uploaded image

Answer:

The solution and the explanation is on the second third and fourth uploaded image

8 0
3 years ago
Simplify. Consider all cases. |14−(x−6)|
yanalaym [24]

Answer:

20-x; -20+x; -20-x; 20+x

Step-by-step explanation:

|14-x+6|

|20-x|

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4 0
3 years ago
Read 2 more answers
A trapezoid was broken into two congruent triangles and a rectangle. A trapezoid is broken into 2 triangles and 1 rectangle. The
Naddika [18.5K]

complete question:

The picture below is the complete question.

Answer:

base of the triangles = 3 cm

Step-by-step explanation:

The trapezoid was broken into 2 congruent triangles and a rectangle. The 2 triangle have a height of 12 cm . The rectangle has a height of 12 cm and width of 14 cm .

The base length of the triangle can be computed as follows.

Note a congruent triangle have exactly the same three sides and exactly the same three angles.

area of a triangle = 1/2 × base × height

From the area of the trapezoid one can calculate the sides of the triangle.

area of the trapezoid = 1/2 × (a + b)h

where

a = top side

b = base side

h = height

area of the trapezoid = 1/2 × (a + b)h

area of the trapezoid = 1/2 × (14 + 20)12

area of the trapezoid = 1/2 × 34 × 12

area of the trapezoid = 34 × 6

area of the trapezoid = 204 cm²

204 = area of the triangles + area of the rectangle

204 =2 (1/2bh) + lw

where

b = base of triangle

h = height of triangle

l = length of rectangle

w = width of rectangle

204 = bh + (14 × 12)

204 = 12b + 168

12b = 204 - 168

12b = 36

divide both sides by 12

b = 36/12

b = 3 cm

base of the triangles = 3 cm

 

3 0
3 years ago
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