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Hunter-Best [27]

3 years ago

5

The perimeter of a rectangle is 68 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 9 : 8. Wh

ich of the following would be the best equation to use to solve this problem?

1 answer:

omeli [17]3 years ago

3 0

The perimeter of a rectangle is

P = 2w +2l
P = 68 ft

and given the ratio l/w = 9/8 from this result 8l = 9w so l = (9w)/8

P = 2w +2l

68 = 2w +2((9w)/8)

68 = 2w +9w/4

4*68 = 8w +9w

272 = 17w

w = 272/17

w = 16

so than we know that w=16 so than the length will be

l = (9w)/8

l = 9*16/8

l = 9*2

l = 18

so than we know that

l = 18
w = 16

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Question 1(Multiple Choice Worth 1 points)

Stolb23 [73]

so, they already used 4,885.78 this month, but whatever all five family members can use total for a month is 7,250.50, so since they already used 4,885.78, they have left 7,250.50 - 4,885.78 = 2364.72.

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4 0

3 years ago

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The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.

sammy [17]

$\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\$
$\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4$
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5 0

3 years ago

Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.

wlad13 [49]

Answer:

(a) $Total = 45000$

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

$Kofi =5/9$

$Yaw = 2/15$

$Musa = 14000$

Solving (a): The cost of the business

First, we solve for the fraction of Musa

$Musa + Kofi + Yaw = 1$

$Musa = 1 - (Kofi + Yaw )$

$Musa = 1 - (5/9 + 2/15)$

$Musa = 1 - (\frac{25+6}{45})$

$Musa = 1 - \frac{31}{45}$

$Musa = \frac{45 - 31}{45}$

$Musa = \frac{14}{45}$

So, we have:

$\frac{14}{45} * Total = 14000$

Make Total the subject

$Total = 14000 * \frac{45}{14}$

$Total = 1000 * 45$

$Total = 45000$

Solving (b): Partners in ascending order

First, represent the fractions as decimals

$Kofi =5/9$ $= 0.5556$

$Yaw = 2/15$ $= 0.1333$

$Musa = \frac{14}{45}$ $= 0.3111$

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

<em>So, the order is: Yaw, Musa and Kofi</em>

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3 years ago

Subtract. Write your answer as a mixed number in simplest form.<br><br> 8 1/4 + 4 5/6

Tasya [4]

Answer:

13 1/12

Step-by-step explanation:

6 0

3 years ago

Solve:<br> 3c - 15 = 17 - c<br> plsss helpp !! i put 20 pts on this !!

azamat

Answer:

c=8

Step-by-step explanation:

Simplifying

3c + -15 = 17 + -1c

Reorder the terms:

-15 + 3c = 17 + -1c

Solving

-15 + 3c = 17 + -1c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add 'c' to each side of the equation.

-15 + 3c + c = 17 + -1c + c

Combine like terms: 3c + c = 4c

-15 + 4c = 17 + -1c + c

Combine like terms: -1c + c = 0

-15 + 4c = 17 + 0

-15 + 4c = 17

Add '15' to each side of the equation.

-15 + 15 + 4c = 17 + 15

Combine like terms: -15 + 15 = 0

0 + 4c = 17 + 15

4c = 17 + 15

Combine like terms: 17 + 15 = 32

4c = 32

Divide each side by '4'.

c = 8

Simplifying

c = 8

5 0

3 years ago

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