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3 years ago

Hannah and Francine have $120. Hannah and Peter have $230. Peter has 6 times as much money as Francine. How much money does Hann

ah have?

Mathematics

1 answer:

aivan3 [116]3 years ago

5 0

$x-Francine's\ money\\6x-Peter's\ money\\120-x-Hanna's\ money\\\\120-x+6x=230\\-x+6x=230-120\\5x=110\ \ \ |:5\\x=22\\\\6x=6\cdot22=132\\\\120-22=98\\\\Hanna\ has\ \$98$

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Two bells ring every 10 and 25 minutes respectively. They start ringing together at 6 a.m. At what time will they next ring toge

qwelly [4]

Answer:

6:50

Step-by-step explanation:

The bell that rings every 10 min will ring at 6:00, 6:10, 6:20,6:30, 6:40, 6:50

The bell that rings every 25 min will ring at 6:00, 6:25, and 6:50

7 0

2 years ago

The cost of 12 oranges and 7 coples is 55.36. Eight oranges and apples cost $3.68. Find the cost

victus00 [196]

Hello there i hope you are having a good day :) Your question : The cost of 12 oranges and 7 couples is 55.36. Eight oranges and apples cost $3.68. Find the cost of each : Firstly you would do oranges = O Apples = A. Then 12 oranges + 7 apples = 5.36 12o + 7A = 5.36 then you would take away from both sides so -12o Take away -12o = 7o = 5.36 - 12A now you would divide this by 7 so 7 cancels each out so you are left with 5.36/ 7 = 0.76 Then it would equal 0.76 - 12o/7 This would equal the amount of apples to be $0.76 each now for the oranges you would do the same that you work out for the apples.

Hopefully that help ya :)

4 0

2 years ago

The temperature on Monday was 78.8°C. The temperature on Tuesday was 6.6°C less than the temperature on Monday. What was the tem

geniusboy [140]

Answer:

72.2

Step-by-step explanation:

Monday: 78.8

Tuesday: 78.8 - 6.6 = 72.2

8 0

3 years ago

In the form of a paragraph, explain in complete sentences, your answers to the following questions. Include the final answer in

Yanka [14]

Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:

1st day = 3.2 miles
2nd day = 7.5 miles
3rd day = 9.8 miles
4th day = 11.5 miles
5th day = 2.9 miles
6th day = 3.5 miles

Finally, she ran a total of:

3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles

What was the average distance of each run?

This result can be get as the sum of each run (or the total of miles she run) divided by the numbers of days she ran.

 $A=\frac{38.4}{6}=6.4mi$

Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?

Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:

 $\frac{3.2+7.5+9.8+11.5+2.9+3.5+x}{7}=6$

∴ $\frac{38.4+x}{7}=6$

Isolating x:

$38.4+x=42$

∴ $x=42-38.4=3.6$

Therefore, she need to run:

$\boxed{3.6mi}$ in order to achieve the goal of 6 miles per day.

4 0

3 years ago

Select the points that is a solution

RoseWind [281]

The red area is the one which solves the system. In fact, we want the area which below both the parabola and the line (since the inequality features a $\leq$ sign.

So, the point $(1,1)$ is below the line but above the parabola (blue area), so it is not a solution.

The point $(2,2)$ is above both the line and the parabola (white area), so it is not a solution.

The point $(-1,0)$ is below both the line and the parabola (red area), so it is a solution.

So, the point $(4,1)$ is below the parabola but above the line (green area), so it is not a solution.

8 0

2 years ago