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Step2247 [10]
2 years ago
6

Mr. Ailey gave his class 45 minutes to read. Davida reads 27 3/4 pages in that time. At what rate, in pages per hour, did Davida

read?
A 42
B 36
C 34
D 37
Mathematics
1 answer:
Rudik [331]2 years ago
4 0

Answer:

37 pages per hour

Step-by-step explanation:

Given that :

Time Given to read = 45 minutes ; 45 / 60 = 0.75

Number of pages readable ad by Davida within the given time frame = 27 3/4 pages

David's reading rate in pages per hour :

Number of pages read / time taken (hrs)

[27 3/4] ÷ (45/60)

[111 / 4] ÷ (45/60)

(111 / 4 ) * (60/45)

(111 * 60) / (4 * 45)

6660 / 180

= 37 pages per hour

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Answer:

6^{5}

Step-by-step explanation:

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2 years ago
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Round to the nearest foot
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Answer:

347.2 ft ≈ c

Step-by-step explanation:

*The nearest tenth of a foot is 347.2 ft.

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3 years ago
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.
Oliga [24]

Answer:

\displaystyle 1)48.2    \:  \: \text{sec}

\rm \displaystyle  2)3021.6 \: m

Step-by-step explanation:

<h3>Question-1:</h3>

so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

\displaystyle  - 4.9 {t}^{2}  + 229t + 346 = 0

to solve the equation can consider the quadratic formula given by

\displaystyle x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4 ac} }{2a}

so let our a,b and c be -4.9,229 and 346 Thus substitute:

\rm\displaystyle t =  \frac{ - (229) \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

remove parentheses:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

simplify square:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}

simplify multiplication:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 6781.6} }{ - 9.8}

simplify Substraction:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 45659.4} }{ - 9.8}

by simplifying we acquire:

\displaystyle t = 48.2  \:  \:  \: \text{and} \quad  - 1.5

since time can't be negative

\displaystyle t = 48.2

hence,

at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

\displaystyle x _{  \text{max}} =  \frac{ - b}{2a}

let a and b be -4.9 and 229 respectively thus substitute:

\displaystyle t _{  \text{max}} =  \frac{ - 229}{2( - 4.9)}

simplify which yields:

\displaystyle t _{  \text{max}} =  23.4

now plug in the maximum t to the function:

\rm \displaystyle  h(23.4)- 4.9 {(23.4)}^{2}  + 229(23.4)+ 346

simplify:

\rm \displaystyle  h(23.4)  =  3021.6

hence,

about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

5 0
2 years ago
What are some differences between linear equations and inequalities, specifically their solutions and the process of finding tho
Scorpion4ik [409]

Answer:

difference between linear equations and inequalities is the solution set. A linear equation of two variables can have more than one solution. For instance, with x = 2_y_ + 3, (5, 1), then (3, 0) and (1, -1)

Step-by-step explanation:

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3 years ago
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svlad2 [7]
4% of 200 7 graders= 8, so 8 are expected to move by the end of the year. but if 12 students actually moved instead, there was 4 more moves than we expected. I hope this helped..!
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