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3 years ago

a flat for sale sign has a perimeter of 58 inches. the length is 5 inches longer than the width. what is the width?

Mathematics

1 answer:

timofeeve [1]3 years ago

3 0

Answer:

25 inches

Step-by-step explanation:

1. Information that is needed to solve the problem;

The formula for the perimeter is:

2(a+b) = P

where "a" is the length and "b" is the width.

2. Solving the problem;

Substitute the given values into the formula;

2( 5 + b ) = 58

Inverse operations;

2 ( 5 + b ) = 58

/2 /2

5 + b = 29

-5 -5

b = 25

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Is -4 1/5 less than. greater than or equal to -4 9/10

Natalija [7]

-4 1/5 is greater than -4 9/10

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3 years ago

If you scale down the ratio on the left, what will you get for the unknown quantity on the right? 434 miles14 gallons = ?2 gallo

jarptica [38.1K]

Answer:

option (A) 62 miles

Step-by-step explanation:

Data provided in the question:

Ratio on the left = 434 miles : 14 gallons

ratio on the right = ?? : 2 gallons

Now,

The ratio on the both sides are equal

let the unknown value in the ratio be 'x'

Now, the ratio a : b can also be represented as $\frac{a}{b}$

therefore,

434 miles : 14 gallons = x : 2 gallons

⇒ $\frac{\textup{434 miles}}{\textup{14 gallons}}$ = $\frac{\textup{x}}{\textup{2}}$

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Hence,

the correct answer is option (A) 62 miles

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3 years ago

One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

6 0

3 years ago

True or false: the value of theta represents the distance from a point to the origin when plotting a point in polar coordinates

SOVA2 [1]

False. The value of theta is the angle measured counterclockwise that the vector makes with respect to the positive x-axis.

6 0

3 years ago

Read 2 more answers

Part A

Nitella [24]

Answer:

P = 300

r = 0.15

n = 12

A(t) = 300(1.0125)^12t

Step-by-step explanation:

Given that:

Total credit taken for book purchase = $300

Annual Interest rate = 15% compounded monthly

Time or period = 4 years

P(1 + r/n)^nt

P in the expression above means the principal amount which is the total credit spent on book purchase = $300

r = annual interest rate on Emma's account = 15% = 15/100 = 0.15

n = number of compounding times per period ; loan which compounds monthly = number of months in a year = 12

Hence,

P = $300 ; r = 0.15 ; n = 12

Substituting into the equation :

P(1 + r/n)^nt

Simplified expression written in terms of t:

Final amount, A after t years

A(t) = 300(1 + 0.15/12)^12t

A(t) = 300(1 + 0.0125)^12t

A(t) = 300(1.0125)^12t

3 0

3 years ago