Hannah and Francine have $120. Hannah and Peter have $230. Peter has six times as much as Francine. How much does Hannah have?

Answers

Answer 1
Answer:

Answer:

The amount that Hannah has is $98

Step-by-step explanation:

Let

x-----> amount that Hannah has

y ----> amount that Francine has

z ----> amount that Peter has

we know that

x+y=120 ----> equation A

x+z=230 ----> equation B

z=6y -----> equation C

substitute equation C in equation B

x+6y=230 ----> equation D

we have

x+y=120 ----> equation A

x+6y=230 ----> equation D

Solve the system of equations A and D by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (98,22)

see the attached figure

Find the value of z

z=6y ----> z=6(22)=132

therefore

The amount that Hannah has is $98

The amount that Francine hasis $22

The amount that Peter has is $132


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Tike Television has six minutes of advertising space every 15 minutes. How manyminute commercials can they fit in the six-minute block?

Answers

Answer:

6

Step-by-step explanation:

If each commerical is a minuets and they have six minuets than they can fit six commericals.

Final answer:

Using simple division, Tike Television can fit six one-minute commercials into their six-minute advertising block.

Explanation:

The question is regarding how many one-minute commercials Tike Television can fit into their six-minute advertising block. This is a simple division problem. Assuming that each commercial is exactly one minute long, you would divide the total amount of advertising time (6 minutes) by the length of each commercial (1 minute).

So the calculation would look like this: 6 minutes / 1 minute = 6 commercials.

Therefore, Tike Television can fit six one-minute commercials into their six-minute advertising space.

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6 friends share 5 meat pies. each friend first eats half of a meat pie. how much more meat pie does each friend need to eat to finish all the meat pies and share them equally?

Answers

they need 1 more meat pie to share equally
Each friend will eat 1/2

The librarian was checking the thicknesses of several books and found that the average thickness of a book was 1.8 centimeters. She found this by averaging the thicknesses of five different books. Four of the thicknesses were 1.4 cm, 1.9 cm, 2.1 cm, and 2.4 cm. What was the thickness of the fifth book that she measured?

Answers

Answer:

1.2 cm

Step-by-step explanation:

1.8 * 5 = 9

9 - (1.4 + 1.9 + 2.1 + 2.4) = 1.2

1.2 + 1.4 + 1.9 + 2.1 + 2.4 = 9

9/5 = 1.8

You can buy 24 bottles of water for $9.60 or 32 bottles for $12.16. Show the unit rates to determine which is the better buy. PLEASE HELPPPP

Answers

Answer:

2.5 and 2

Step-by-step explanation:

you need to divdide the numbers by eachother to find how much one costs

The answer for this question is 2.5 and 2

A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last,

Answers

The 250 pounds of food will last for 20.83 days.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Initial quantity of food = 250 pounds,

Since, mountain climbers begin to eat 12 pounds per day,

Let the food will last for x days,

The equation can be written as,

12x = 250

x = 20.833

The food will last for 20.83 days.

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Use the equation y=mx+b where m is the slope (how much it increases each time) and b is the y intercept (starting point).

Your equation would be: y=12x+0 because they eat 12 pounds each day and they start out having eaten 0 pounds.

To solve the equation, plug in the total amount of food for y and use algebra to solve for x:
250=12x
(divide by 12)
(250/12)=x
X=20.833

Their food would last approximately 20 days. (Make sure you round if required)

Find area of the circle to nearest tenth. Use 3.14 as pi. Diameter of circle is 2.8

Answers

Answer:

the actaul anserw is 17.6

Step-by-step explanation:

C=

\,\,2 \cdot \pi \cdot\color{red}{2.8}

2⋅π⋅2.8

\color{green}{C}=

C=

\,\,2 \cdot\color{red}{2.8}\cdot \pi

2⋅2.8⋅π

Commutative property of multiplication

\color{green}{C}=

C=

\,\,5.6\pi

5.6π

Circumference in terms of \piπ

\color{green}{C}=

C=

\,\,17.59291886...

17.59291886...

Multiply, using the \piπ button on your calculator

\color{green}{C}\approx

C≈

\,\,17.6

17.6

Round to the nearest tenth