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Iteru [2.4K]
3 years ago
7

Ted has a shelf that is 75/4 inches wide. How many books can Ted arrange on the shelf if each book is 5/4 inches thick?

Mathematics
1 answer:
Paladinen [302]3 years ago
6 0
(75/4) / (5/4) = 
75/4 * 4/5 = 
300/20 =
15 books

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The cost of a gallon of gas increased from $3.54 to $3.87 over the weekend. What is the percent increase for the cost of gas, ro
Dmitrij [34]

Answer:

9%

Step-by-step explanation:

percent increase is calculated as

\frac{increase}{original} × 100%

increase = $3.87 - $3.54 = $0.33 , then

% increase = \frac{0.33}{3.54} × 100% ≈ 9% ( to the nearest whole percent )

5 0
1 year ago
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What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
vova2212 [387]

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

m1*m2=-1

Step 1

<u>Find the slope of the given line</u>

we have

3y=-4x+2

Solve for y

Divide by 3 both sides

3y/3=(-4x+2)/3

y=-\frac{4}{3}x+ \frac{2}{3}

the slope of the given line is m1=-\frac{4}{3}

Step 2

<u>Find the slope  of a line that is perpendicular to the given line</u>

we have

m1=-\frac{4}{3}

m1*m2=-1

m2=-1/m1

substitute the value of m1

m2=-1/(-4/3)=\frac{3}{4}

therefore

<u>the answer is</u>

the slope is \frac{3}{4}

4 0
3 years ago
What is the circumference of a circle whose radius is 20 feet? Leave answer in terms of π.
lesantik [10]

Answer:

What is the circumference of a circle whose radius is 20 feet? Leave answer in terms of π.  

A)  10π feet  

B)  20π feet  

<u> C)  40π feet  </u>

 D)  100π feet

Step-by-step explanation:

circumference = 2πr

circumference=2×π×20

circumference=40π

5 0
3 years ago
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Write the equation of a line perpendicular to y= -5/6x-3 and whose y-intercept is (0,11).
worty [1.4K]

Answer:

y=6/5x+11

Step-by-step explanation:

Perpendicular lines have the opposite sign and reciprocal of the original line. Since the y-intercept is 11 we know that it is 6/5x+11

8 0
3 years ago
Please help me with this math problem, I am lost
Anarel [89]

Answer:

y= 2x +7

Step-by-step explanation:

<u>Slope-intercept</u><u> </u><u>form</u><u>:</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 2, m=2.

y= 2x +c

Given that the y-intercept is -7, c = -7.

y= 2x +7

8 0
3 years ago
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