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3 years ago

You buy 8 books for $44. Paperbacks are $4 and hardbacks are $8. How many of each type can you buy?

2 answers:

6 0

She purchased 5 paperbacks at $4 and 3 hardbacks at $8 for a total of $44.

h = number of hardback books
p = number of paperback books
h + p = 8
so
h = 8-p
.
4*p = price of paperbacks
8*h = price of hardbacks
4*p + 8*h = 44
.
substitute h = 8-p
.
4p + 8(8-p) = 44
4p +64 -8p = 44
-4p = -20
p = 5
h = 8-p
h = 3
.
check to be sure the values are right
4*5 = 20
3*8 = 24
20 +24 = 44

Aleksandr-060686 [28]3 years ago

3 0

Answer:

She purchased 5 paperbacks at $4 and 3 hardbacks at $8 for a total of $44.

Step-by-step explanation:

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The length and breadth of a rectangular field are 50 m and 40 m respectively. Find the distance travelled by a boy in walking al

Naily [24]

Answer:

180M (1 round); 900M (5 rounds)

Step-by-step explanation:

Solve for perimeter with is 2L + 2 W.

1. 2(50) + 2 (40) =

2. 100 + 80 = 180

He walked 180M for 1 complete round. To determine 5 complete rounds, multiply by 5.

180X5= 900 M

3 0

3 years ago

What is the mean and mad of this data set?

larisa86 [58]

Answer:

The mean number of gerbils seen per day is 6.

The mean absolute deviation of the data is 2.29.

Step-by-step explanation:

The mean of a data set is the value that represents the entire data set. It is the average value.

The formula to compute the mean of a data set is:

$\bar x=\frac{1}{n}\sum X$

The mean absolute deviation (MAD) of a data set is the average distance amid each value and the mean. The MAD provides us with an idea about the deviation in the data set.

The formula to calculate the value of MAD is:

$MAD=\frac{1}{n}\sum |x-\bar x|$

The data set for the number of gerbils seen per day is:

S = {2, 3, 5, 7, 8, 8, 9}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum X$

$=\frac{1}{7}\times [2+3+5+7+8+8+9]\\\\=\frac{1}{7}\times 42\\\\=6$

The mean number of gerbils seen per day is 6.

Compute the mean absolute deviation of the data as follows:

$MAD=\frac{1}{n}\sum |x-\bar x|$

$=\frac{1}{7}\times [|2-6|+|3-6|+|5-6|+|7-6|+|8-6|+|8-6|+|9-6|]\\\\=\frac{1}{7}\times 16\\\\=2.2857\\\\\approx 2.29$

Thus, the mean absolute deviation of the data is 2.29.

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3 years ago

(I don't usually ask for help on Brainly, but I really suck at Radicals and I need help.

Artemon [7]

My first answer. Lots of parts for five minutes. Took me that long to decode the question. It looks like your multiplying where you're taking roots.

$(\sqrt[4]{7})^5 = (7^{\frac 1 4})^5 = 7^{\frac 5 4}
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Choice A. Next

$(3^{2/3})^{1/6} = 3^{ \frac 2 3 \times \frac 1 6 } = 3^{\frac 1 9} = \sqrt[9]{ 3} 


$

Choice B.

$\dfrac {2^{3/4} } {2 ^{1/2} } = 2^{3/4 - 1/2} = 2^{1/4} = \sqrt[4] {2}
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3 years ago

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Choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half.

Goshia [24]

Answer:

$y+3=\frac{1}{2} \left(x-6)$

Step-by-step explanation:

Point slope form:

$y-y_1=m\left(x-x_1\right)$

Note:

m represents the slope

(x1,y1) represents the coordinate point

Our answer would be $y+3=\frac{1}{2} \left(x-6)$

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3 years ago

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5. You are making your Halloween costume this year. You have 6 yards of fabric and the pattern says that you need to cut it in t

REY [17]

Answer:

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Step-by-step explanation:

Total yards of fabrics = 6 yards

you need to cut it in two pieces where one is two feet longer than the other.

First piece= x feet

Second piece= x+2 feet

Convert 6 yards to feet

6 yards = 18 feet

First piece + second piece = total piece of fabrics

x + (x+2) = 18

x + x + 2 = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

Divide both sides by 2

x = 16 / 2

x = 8 feet

8 feet = 2.66667 yards

x + 2

= 8 + 2

= 10 feet

10 feet = 3.33333 yards

The shorter side piece of fabric = x = 8 feet

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3 years ago