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Andreas93 [3]
2 years ago
11

During summer vacation, Tori read, on average, 40 pages per night. Now that she has returned to school, she is averaging 5% fewe

r. How many pages per night is Tori averaging now?
Mathematics
1 answer:
STatiana [176]2 years ago
8 0

Answer: 38 pages per night

Step-by-step explanation:

Tori used to read an average of 40 pages per night but now she is going at a rate that is 5% slower.

To find the number of pages she is reading now, first find 5% of 40 pages:

= 5% * 40

= 2

Then subtract this figure from 40:

= 40 - 2

= 38 pages per night

<em>By deducting 5% from the reading quantity, the person is reading at 5% less. </em>

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Marcus needs 3 1/10 m of blue fabric and 1 1/5 m of yellow fabric to make his costume. How much more blue fabric than yellow fab
Kamila [148]

Answer:

1\frac{9}{10}\ m

Step-by-step explanation:

we know that

To find out how much more blue fabric than yellow fabric does Marcus need, subtract the quantity of yellow fabric from the quantity of blue fabric

step 1

Convert mixed number to an improper fraction

3\frac{1}{10}\ m=\frac{3*10+1}{10}=\frac{31}{10}\ m

1\frac{1}{5}\ m=\frac{1*5+1}{5}=\frac{6}{5}\ m

step 2

Subtract the numbers

\frac{31}{10}-\frac{6}{5}=\frac{31}{10}-\frac{12}{10}=\frac{19}{10}\ m

Convert to mixed number

\frac{19}{10}\ m=\frac{10}{10}+\frac{9}{10}=1\frac{9}{10}\ m

7 0
2 years ago
Read 2 more answers
Graph the function y = |8 - 2x| + 3. Which is a point on the function? (6.2, 7.4) (7.8, 11.2) (8.6, 6.8) (9.6, 7.3)
Fiesta28 [93]
For this case we have the following function:
 y = | 8 - 2x | + 3&#10;
 The first thing you should do is graph the function to see the behavior.
 When observing the graph (in the attached image) we observe that the following point belongs to the graph:
 (6.2, 7.4)&#10;
 To prove it, let's evaluate the point in the function:
 7.4 = l 8 - 2 (6.2) l + 3&#10;&#10;7.4 = l 8 - 12.4 l + 3&#10;&#10;7.4 = l -4.4 l + 3&#10;&#10;7.4 = 7.4
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 Answer:
 
(6.2, 7.4)
 
See attached image

8 0
3 years ago
From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th
wel

Answer:

\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}

Step-by-step explanation:

The <u>width</u> of a square is its <u>side length</u>.

The <u>width</u> of a circle is its <u>diameter</u>.

Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.

<u>Formulas</u>

\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}

\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}

\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}

If the diameter is equal to the side length of the square, then:
\implies \sf r=\dfrac{1}{2}s

Therefore:

\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}

So the ratio of the area of the circle to the original square is:

\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}

Given:

  • side length (s) = 6 in
  • radius (r) = 6 ÷ 2 = 3 in

\implies \sf \textsf{Area of square}=6^2=36\:in^2

\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)

Ratio of circle to square:

\implies \dfrac{28}{36}=\dfrac{7}{9}

5 0
2 years ago
A wire 22 cm long is cut into two pieces. The longer piece is 4 cm longer than the shorter piece. Find the length of the shorter
guajiro [1.7K]
Answer:

Explanation: L = longer piece S = shorter piece

L + S = 22

L = 4 + S

S + S + 4 = 22
-4 -4
S + S = 18

S = 18/2 = 9 cm

L = 4 + S —> 4 + 9 = 13 cm

To confirm:

13 cm + 9 cm = 22 cm

Therefore, the shorter piece is 9 cm.
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2 years ago
Put the following steps for executing a stock trade in order. What is the order? 2,4,1,3?
Temka [501]

Answer:

The answer would be 1,2,4,3

Step-by-step explanation:

I just took a quiz with this same question :)

4 0
3 years ago
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