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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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Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?
QveST [7]
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
C&({{ -1}}\quad ,&{{ 4}})\quad 
%  (c,d)
D&({{ 2}}\quad ,&{{ 0}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
CD=\sqrt{[2-(-1)]^2+(0-4)^2}\implies CD=\sqrt{(2+1)^2+(-4)^2}
\\\\\\
CD=\sqrt{9+16}\implies CD=\sqrt{25}\implies CD=5
6 0
3 years ago
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The picture below shows Annie and her younger brother Tommy’s money. They want to combine their money to buy something together.
Inga [223]

Answer:

$5.47

Step-by-step explanation:

Given data:

Annie has 4 dollar , 11 dimes, 4 pennies.

Tommy has 3 dimes, 3 pennies.

To add the money, let us first convert dime and penny into dollar.

1 dollar = $1

11 dime = $1.1

4 penny = $0.04

3 dime = $0.3

3 penny = $ 0.03

Total money = Annie’s money + Tommy’s money

                     = $4 + $1.1 + $ 0.04 + $0.3 + $0.03

                     = $5.47

So, they have $5.47 in all.

5 0
3 years ago
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What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny
Delvig [45]

Answer:

I'm confused on what it's asking

Step-by-step explanation:

7 0
3 years ago
Which list shows these numbers in order from least to greatest​
Rom4ik [11]

Answer:

0.009854, 30%, 1.98, √9

Step-by-step explanation:

Convert to decimals:

0.009854, 1.98, 3.0, 0.3

0.009854, 0.3, 1.98, 3.0

7 0
2 years ago
Evaluate the double integral. . ∫∫ y sqrt(x^2-y^2) dA, R={(x,y)|0≤y≤x, 0≤x≤1}. R. . Please explain
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\int\limits^x_0 {y \sqrt{ x^{2} - y^{2} } } \, dy= \\   \frac{-1}{2} \int\limits^x_0 { u^{1/2} } \, du  =
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1/3\int\limits^1_0 { x^{3} } \, dx = 1/3 (  x^{4}/4)}= 1/3 ( 1 ^{4}/4 - 0^{4} /4 )
= 1/3 * 1/4 = 1/12
4 0
3 years ago
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