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3 years ago

1. Regina. Phil and Joseph each wrote expressions to represent their hourly

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

Answer:

Step-by-step explanation:

Regina: 6.5h

Phil: 3(2.5h+5)

When you plug in the number of hours, you get the weekly pay. In order to get the same weekly pay, set the equations equal to each other.

6.5h=3(2.5h+5), This is an equation to find the number of hours it will take for them to get equal pay. Now, simplify.

6.5h=7.5h+15

-h=15

h=-15, -15 hours is your answer. You can't work negative hours though which means that Regina and Phil will never be able to make the same amount.

Phil has a higher rate and starting value, this means that Regina will never make the same amount working the same hours.

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Is v = -1 / 3 a solution of 9v-2= 3v?

Gre4nikov [31]

Answer:

No, -1/3 is not a solution

Step-by-step explanation:

See if it is a solution by plugging in -1/3 as v and seeing if the equation is correct:

9v - 2 = 3v

9(-1/3) - 2 = 3(-1/3)

-3 - 2 = -1

-5 = -1

-5 $\neq$ -1

So, since the equation is incorrect, -1/3 is not a solution.

4 0

3 years ago

Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.

aleksandrvk [35]

Answer:

The value of x is 3/2.

Step-by-step explanation:

Given data in the question:-

$3^2^x=27$

We have to find the value x.

Let $3^2^x=27$ be eq(i).

Solving eq (i)

$3^2^x=3^3$

using the properties of the exponents we have

if aⁿ=aˣ

then n=x

$2x=3\\x=3/2$

Hence the answer is 3/2.

4 0

3 years ago

Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns a

alina1380 [7]

Answer:

there are no other ratios shown but 8:6,12:9,16:12,20:15,and 24:18 are all equivalent

Step-by-step explanation:

smile time

8 0

3 years ago

The diameter of the inscribed circle in a regular hexagon is 4√3 inches long. What is the perimeter of this regular hexagon?

barxatty [35]

Answer:

12√3 inches or 20.785 inches.

Step-by-step explanation:

A regular hexagon can be defined as a polygon with 6 sides.

The formula for the perimeter of a regular hexagon =

6 × the length of the sides of the hexagon.

From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long

Step 1

Find the radius of the circle

Radius of the circle = 4√3/2 = 2√3 inches

Step 2

The radius of the inscribed circle = Length of one of the sides of a regular hexagon.

Hence, the perimeter of the regular hexagon = 6 × 2√3

= 12√3 inches

= 20.784609691 inches.

Approximately 20.785 inches

3 0

3 years ago

Ninas dog eats 1/6 lb of dog food twice a day. If Nina buys a 20 lb bag of dog food, how many days will the bag feed her dog?

My name is Ann [436]

Answer:

Step-by-step explanation:

<h3>Step 1: First, since it is 1/6 pound twice a day, multiply by 2</h3>

1/6 x 2 = 1/3

<h3>Step 2: Divide 20 by 3 to get days that bag will feed the dog</h3>

20 ÷ 1/3 = 60

The bag will feed Nina's dog for 60 days.

I'm always happy to help :)

7 0

3 years ago