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Veronika [31]
3 years ago
6

Nathan read a total of 630 pages over 30 hours. In all, how many hours of reading will Nathan have to do this week in order to h

ave read a total of 714 pages? Solve using unit rates.
Mathematics
1 answer:
storchak [24]3 years ago
5 0

Answer:

34 hours

Step-by-step explanation:

Given that,

Nathan read a total of 630 pages over 30 hours.

We need to find times of reading will Nathan have to do this week in order to have read a total of 714 pages.

1 page can be read in \dfrac{30}{630}\ \text{hours}

To read 714 pages, it will take

\dfrac{30}{630}\times 714\ \text{hours}\\\\=34\ \text{hours}

Hence, it will take 34 hours to read 714 pages.

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Alexxx [7]

f(1)=3\\\\f(n)=[f(n-1)]\\\\f(2)=[f(2-1)]=[f(1)]=[3]=3\\\\f(3)=[f(3-1)]=[f(2)]=[3]=3\\\\f(4)=[f(4-1)]=[f(3)]=[3]=3\\\\f(5)=[f(5-1)]=[f(4)]=[3]=3

4 0
3 years ago
What is the soloution to the equation 3x+4=7x-4​
VMariaS [17]
Answer: 2=x
Explanation:3x+4=7x-4
-3x -3x
4=4x-4
+4 +4
8=4x
(divide each side by 4)
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5 0
3 years ago
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A line has a slope of 1 9 and includes the points ( – 6,z) and (3,1). What is the value of z?
vaieri [72.5K]

Answer:

z = - 170

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 19

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (3, 1) and (x₂, y₂ ) = (- 6, z)

m = \frac{z-1}{-6-3} = \frac{z-1}{-9} = 19 ( multiply both sides by - 9 )

z- 1 = - 171 ( add 1 to both sides )

z = - 170

5 0
3 years ago
Solve for x:<br> 2 = 4(x - 5) + 4x
vova2212 [387]

Answer:

2.75

2 = 4(x - 5) + 4x \\ 2 = 4x - 20 + 4x \\ 2 = 8x - 20 \\ 2 + 20 = 8x \\ 22 = 8x \\  \frac{22}{8}  = x = 2.75

8 0
3 years ago
Lila is making a spinner game for her cousins to play she has divided it into 8 equal sections
eimsori [14]

Using the probability concept, it is found that:

  • a) P(star) = 3/8 = 0.375 = 37.5%.
  • b) P(not diamond) = 7/8 = 0.875 = 87.5%.
  • c) P(flower) = 1/4 = 0.25 = 25%.
  • d) You would expect to spin a heart 25 times.

------------------------------------------------

  • A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Item a:

  • Of the 8 sections, 3 are stars.
  • \frac{3}{8} = 0.375

Then:

P(star) = 3/8 = 0.375 = 37.5%.

Item b:

  • Of the 8 sections, 7 are not diamonds.
  • \frac{7}{8} = 0.875

Then:

P(not diamond) = 7/8 = 0.875 = 87.5%.

Item c:

  • Of the 8 sections, 2 are flowers.
  • \frac{2}{8} = \frac{1}{4} = 0.25

Then:

P(flower) = 1/4 = 0.25 = 25%.

Item d:

  • 2 out of the 8 sections are hearts, then:

p = \frac{2}{8} = \frac{1}{4}

Out of 100:

\frac{1}{4} \times 100 = \frac{100}{4} = 25

You would expect to spin a heart 25 times.

A similar problem is given at brainly.com/question/16256175

7 0
2 years ago
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