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3 years ago

the length of a rectangle is 3 inches more than its width if the perimeter is 42 inches find the dimensions of the rectangle

Mathematics

1 answer:

vaieri [72.5K]3 years ago

4 0

42=x+(x+3)+x+(x+3)

42=2x+(2x+6)

36=4x

9=x

l=9

w=12

check:9+9=18+24=42

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If 5 1/3= x/3 then x=

rosijanka [135]

Answer:

Step-by-step explanation:

Hope you get it.

You would just convert 5 1/3 into a improper fraction 16/3=16/3

3 0

3 years ago

Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have

sergey [27]

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

1 nickel = $0.05

1 quarter = $0.25

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

To learn more, visit the link below:

brainly.com/question/13312288

8 0

3 years ago

Set A contains three different positive odd integers and two different positive even integers; set B contains two different posi

Lostsunrise [7]

Answer:

$\frac{2}{5}*\frac{3}{5} +\frac{2}{5}*\frac{2}{5}+\frac{3}{5} *\frac{3}{5} = \frac{19}{25}$

Step-by-step explanation:

We must remember that in order to get one even number we need to multiply one even number times one odd number or two even numbers. So, the first term tells the probability of having an even number from A and an even number from B, the next would be even from A and odd from B and the last one tells the likelihood of having odd from A and even from B

3 0

3 years ago

Identify any outlier(s) in the data.

GarryVolchara [31]

12 because the rest of the numbers are all similar except 12

6 0

2 years ago

Solve these equations for the variable. (4p-4)(13p+27)

kondaur [170]

Answer:

p is approximately equal to 1.125, -1.925

Step-by-step explanation:

We can solve this first by expanding, giving us a quadratic equation in the usual ax² + bx + c format, then solving that for p:

(4p - 4)(13p + 27) = 0

52p² + 108p - 52p - 108 = 0

52p² + 52p - 108 = 0

13p² + 13p - 27 = 0

13p² + 13p = 27

p² + p = 27 / 13

p² + p + 1/4 = 27/13 + 1/4

(p + 1/2)² = 108 / 52 + 13 / 52

(p + 1/2)² = 121 / 52

p + 1/2 = ± √(121 / 52)

p = -1/2 ± 11√(1/13) / 2

At that point we can simply plug those numbers into a calculator and solve it:

p ≈ 1.125, -1.925

8 0

3 years ago