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Reptile [31]
3 years ago
8

Jamie can read at a speed of 65 pages per hour. If she reads a novel that has 400 pages, how long will it

Mathematics
1 answer:
horsena [70]3 years ago
8 0
To find the answer set up an equation:
400 \: pages \times  \frac{1 \: hour}{65 \: pages}  =
Using this set up we can cross our units of pages since they are on opposite side of the proportion, leaving us with the desired units of hours.

Then divide 400 by 65 which will give us our answer: 6.15 or about 6 hours for Jamie to finish her reading.
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Write the expression in factored form s^2-20s-100
KatRina [158]

Answer:

The factors of given expression are 10+10√2 and 10-10√2.

Step-by-step explanation:

We have given a quadratic expression.

s²-20s-100

We have to find factors of given expression.

We use quadratic formula to find factors.

x = (-b±√b²-4ac) / 2a

From given expression, a = 1 , b = -20 and c = -100

Putting values in above formula, we have

x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)

x = (20±√400+400 ) / 2

x = (20±√800) /  2

x = (20± √400×2) / 2

x = (20±20√2) / 2

x = 10±10√2

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3 years ago
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Mars2501 [29]

Answer:

They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.

Step-by-step explanation:

From the statements,

∠G≅∠K

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∠H≅∠L

The sides of triangle FGH are proportional to those of triangle JKL

FG/JK =GH/KL=FH/JL =1/2

6 0
3 years ago
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5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in
hram777 [196]
X: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
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3 years ago
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Answer:

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3 years ago
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bulgar [2K]

Answer:

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Step-by-step explanation:

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