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lana [24]
2 years ago
15

the area of a Blackboard is 1 1/3 square yards posters area is 8/9 square yards find the unit rate and explain in words with uni

t rate means in the context of this problem is in more than one unit that can be calculated how do you know
Mathematics
2 answers:
ehidna [41]2 years ago
8 0

Answer:

Unit rate of area of blackboard to area of poster = \frac{8}{33}

Unit rate of area of Poster to area of blackboard = = \frac{33}{8}              

Step-by-step explanation:

Rates help us to evaluate or compare two different quantities.

Unit rate help us to compare or know that how the  units of the quantity 1 is related to units of quantity 2.

We are given that:

Area of Blackboard = \frac{11}{3}

Area of Poster = \frac{8}{9}

Unit rate of area of blackboard to area of poster: It mean that how does unit area of blackboard is related to or corresponds to area of poster

= \frac{\text{Area of Poster}}{\text{Area of Blackboard}} = \frac{\frac{8}{9} }{\frac{11}{3} }

= \frac{8}{33}

Thus, 1 unit area of blackboard corresponds to \frac{8}{33}\text{ area of poster}

Unit rate of area of Poster to area of blackboard: It mean that how does unit area of poster is related to or corresponds to area of blackboard.

= \frac{\text{Area of Blackboard}}{\text{Area of Poster}} = \frac{\frac{11}{3} }{\frac{8}{9} }

= \frac{33}{8}

Thus, 1 unit area of Poster corresponds to \frac{33}{8}\text{ area of blackboard}

Rzqust [24]2 years ago
3 0
The answer is 143 square feet
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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

(x^2-12x+35)(x^2+10x+24)=504

We have to find the sum of positive roots of the equation.

x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504

x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504

x^4-2x^3-61x^2+62x+840-504=0

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Factor of 336

2,3,4,6,8,7,

Let x=2

2^4-2^4-61(2^2)+62(2)+336\neq0

x=2 is not the root of equation

x=-2

(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

3^4-2(3^3)-61(3^2)+62(3)+336=0

Therefore, x=3  is the root of equation.

(x+2)(x-3)(x^2-x-56)=0

(x+2)(x-3)(x^2-8x+7x-56)=0

(x+2)(x-3)(x(x-8)+7(x-8))=0

(x+2)(x-3)(x-8)(x+7)=0

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0
2 years ago
The track team is trying to reduce their time for a relay race. First they reduce their time by 2.1 minutes. Then they are able
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Answer: 15.7 minutes

Step-by-step explanation:

Let x be the time in the beginning (in minutes).

Given: The track team is trying to reduce their time for a relay race.

First they reduce their time by t_1=2.1 minutes.

Then they are able to reduce that time by t_2=10

If their final time is 3.96 minutes, then

x-t_1-t_2=3.6\\\Rightarrow\ x=3.6+t_1+t_2\\\Rightarrow\ x=3.6+2.1+10\\\Rightarrow\ x= 15.7

Hence, their beginning time was 15.7 minutes.

7 0
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