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leonid [27]
3 years ago
8

Which represents a unit rate?

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

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New streetlights will be installed along a section of the highway. The posts for the streetlights will be 7.5 m tall and made of
SIZIF [17.4K]
First, we determine the volumes of the posts may it be cylindrical in shape or rectangular prism. 

(A) cylindrical:
                         ( π(26.7/100)² - π(24.2/100)²)*(7.5) = 0.3 m³
(B) rectangular prism:
                          (40/100)²(7.5) - (35/100)²(7.5) = 0.28125 m³

Then, we calculate for the amount of substance
 (A) cylindrical:   (0.3 m³)(2700 kg/m³) = 810 kg
 (B) rectangular prism : (0.28125 m³)(2700 kg/m³) = 759.375 kg

Then, calculate for the costs
 (A) (810 kg)($0.38/kg) = $307.8
 (B) (759.375 kg)($0.38/kg) = $288.56

Thus, the answer for A is rectangular post 
B. About $19.24 can be saved. 
6 0
3 years ago
In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion
lys-0071 [83]

\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k

<em>-------------------------------------------------------------</em>


\displaystyle&#10;(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\&#10;n=5\\&#10;k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10

<u>It's 10.</u>

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

\displaystyle&#10;(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\&#10;n=5\\&#10;k=4\\\\&#10;\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90

<u>It's 90</u>

6 0
3 years ago
Andrea ran 4 3/8 miles on
MrRissso [65]
(4 3/8) + (5 1/3)

(4+5)(3/8 + 1/3)

9 + (17/24)

she ran 9 17/24 miles total
8 0
3 years ago
Which type of line is shown in the illustration below?
AysviL [449]

Answer: B. perpendicular lines because they intersect at a right angle, making them perpendicular.

6 0
3 years ago
Read 2 more answers
Help 7TH GRADE math I give out good rating and BRAINIEST!
Digiron [165]

Answer:

12.6

Step-by-step explanation:

If 21 divided by 5 is 4.2, you should multiply 3 by 4.2 you'll then get 12.6. to double check, do 5 divided by 3, which is 1.67, and 21 divided by 12.6 is also 1.67. so side OP is 12.6! :)

8 0
3 years ago
Read 2 more answers
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