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4 years ago

Howard read 1/6 of a book each day until 7/8 of the book was finished. How many days has Howard been reading ?

Mathematics

2 answers:

kodGreya [7K]4 years ago

8 0

He has been reading for 20days

Reptile [31]4 years ago

6 0

The question really means, how many 1/6ths are there in 7/8? So you divide 7/8 by 1/6: 7 1 7 6 42-- ÷ -- = -- * -- = --- = 5 2/8 = 5 1/48 6 8 1 8 So he's been reading for 5 1/4 days. i hope i helped u :-0

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A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang

Ksju [112]

Answer:

$x^3+x^2-5x+28$

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses $\left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4$

2. apply +(-a)=-a rule $x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4$

3. Simplify

Steps to simplify:

$x^2x=x^3$

$3xx=3x^2$

$3\cdot \:4x=12x$

$7\cdot \:4=28$

$x^3+4x^2-3x^2-12x+7x+28$

4. Add like terms $=x^3+4x^2-3x^2-5x+28$

5. Add like terms $=x^3+x^2-5x+28$

6 0

3 years ago

A rectangle has a perimeter 204 it’s length six feet longer than twice it’s width if L stands for the rectangle and W stands for

andriy [413]

Answer:

W=32

L=70

Step-by-step explanation:

L=2w+6

204=2L+2W

204=2w+2(2w+6)

204=2w+4w+12

192=6w

w=32

L=2(32)+6

L=70

6 0

3 years ago

Danielle’s aunt is 8 years than 3 times Danielle’s age. Her aunt is 34. Write an equation that relates Danielle’s age, a, to her

OverLord2011 [107]

Answer:

*Assuming that the question should read '8 years less than 3 times Danielle's age'*

Equation: 3a - 8 = 34, where 'a' = Danielle's age

Danielle's age (a) = 14

Step-by-step explanation:

Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.

Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as: 3a - 8. We also know her aunt is 34. So, the equation becomes:

3a - 8 = 34

Add 8 to both sides: 3a - 8 + 8 = 34 + 8 or 3a = 42

Divide both sides by 3: 3a/3 = 42/3

Solve for a: a = 14, so Danielle's age is 14 years old.

7 0

4 years ago

Construct a sample (with at least two different values in the set) of 4 measurements whose mean, median, and mode are equal. If

KiRa [710]

Answer:

The first set 4 , 6 , 6 , 8

The second set 2 , 6 , 6 , 10

Step-by-step explanation:

Mean is the average of the values in a set. This can be found by summing all the numbers and dividing by the total number. The median is the middle number when the values are listed in order of increasing size. The mode is the number(s) that appear the most often in the set.

The first set 4 , 6 , 6 , 8

mean = (4 + 6 + 6 + 8 )/4 = 6

median = (6+6)/2 = 6

Mode = 6

The second set 2 , 6 , 6 , 10

mean = (2 + 6 + 6 + 10)/4 = 6

median = (6+6)/2 = 6

Mode = 6

3 0

3 years ago

Fifteen less than four times a number

Nostrana [21]

The equation for this should be 4n - 15

3 0

3 years ago