Please help me with this question (5y + 2)2 − 96 = 0

Answers

Answer 1
Answer: simplify the equation with pemdas
first parentheses

distributive property
a(b+c)=(ab)+(ac)

(5y+2)2=(10y)+(4)
10y+4-96=0
10y-92=0
add 92 to both sides
10y=92
divide both sides by 10
y=9.2

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A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 12 units. What is the width of the rectangle?

Answers

We can conclude that the length of the rectangle is 12 Units. The value of the width of a rectangle is 2.4 units.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We have been given that a rectangle’s area and perimeter have the same numerical value also the length of the rectangle is 12 units.

The area of the rectangle = 12x2.4 = 28.8

Area = Perimeter

Length x Width = 2 (Length + Width)

Then Substituting the value of the width, we get the length,

12 x W = 2(12 + W)

12W = 24 + 2W

10W = 24

W = 2.4

Hence we can conclude that the length of the rectangle is 12 Units. The value of the width of a rectangle is 2.4 units.

To know more about the area and perimeter of a rectangle, follow the link given below.

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Answer:

2.4

Step-by-step explanation:

12x2.4 = 28.8 (Area)

12+12+2.4+2.4 = 28.8 (Perimeter)

Manoj's orchard is rectangular of length 39 m and breadth 46 m. If a cost of constructing a wire fence AED 20 per meter, find the cost of fencing the Orchard ?

Answers

Answer:

  AED 3400

Step-by-step explanation:

The perimeter of the rectangular orchard is twice the sum of length and width, so is ...

  P = 2(L+W) = 2(39 m +46 m) = 170 m

At a cost of 20/m, the cost of fence is ...

  cost = (AED 20/m)·(170 m) = AED 3400

Solve 3/5=8/y. Round to the nearest tenth. 15.2 9.8 13.3 18.8

Answers

3/5 = 3/y
40 = 3y
Divide both by 3
Answer= 13.3

Megan has 25 phone numbers stored in her cell phone. Abby has some phone numbers stored in her cell phone. Together they have a total of 61 phone numbers stored. If n = the number of phone numbers Abby has stored in her cell phone, write a mathematical sentence to express the information above.

Answers

Answer:

25+n =61

Step-by-step explanation:

Given that Megan has 25 phone numbers stored in her cell phone. Abby has some phone numbers stored in her cell phone. Together they have a total of 61 phone numbers stored.

If n= the number of phone numbers Abby has stored in her cell phone

then we have sum of phone numbers both have

25+n =61

n=61-25=36

25 + n = 61
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Sam counted his heartbeats while resting. His heart beat 220 times in 4 minutes. Sam's heart beat at the same rate for the 4 minutes.

Answers

The equation for the number of beats per minute is 55 beats per minute

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of beats be = A

Now , the value of A = 220 beats

The total time required for Sam to have 220 beats = 4 minutes

So , the number of beats of Sam in 1 minutes is calculated by

The equation will be

The number of beats of Sam in 1 minutes is = total number of beats  / total time required for Sam to have 220 beats

The number of beats of Sam in 1 minute is = 220 / 4

The number of beats of Sam in 1 minute is = 55 beats per minute

Therefore , Sam would have 55 beats every minute or 55 beats per minute

And for the period of 4 minutes , Sam would have

Number of beats for 4 minutes = number of beats of Sam in 1 minute x 4

Number of beats for 4 minutes = 55 x 4

Number of beats for 4 minutes = 220 beats in 4 minutes

Hence , The equation for the number of beats per minute is 55 beats per minute

To learn more about equations click :

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The equation is , 220 x 4 = 880 , if his heart beat the same time every minute than multiple how many times it beat time the minute !

What is the surface area, in square inches, of a disco ball with a circumference of 188.5 centimeters?

Answers

A = 11300 cm2

Hope this helps!