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givi [52]
2 years ago
13

Neptune completes 1 1/2 truns about its axis each day.how many truns does it complete in 1 week?​

Mathematics
1 answer:
strojnjashka [21]2 years ago
5 0

Answer:Fractions Word Problems – Grade 8

Solve these on a separate sheet of paper.

The following word problems may require you to add, subtract, multiply or

divide fractions.

Read each problem carefully to choose the correct operation. Some of

these are tricky! Be sure to show your work and state your answer in a

sentence!

1. The girl’s hockey team won 6 games, lost 3 games, and tied 2 games. What

fraction of games did they win?

2. In a full set of permanent teeth, ¼ of the teeth are incisors, ¼ are premolars,

and 3/8 are molars. What fraction of all the teeth are incisors, premolars and

molars?

3. Chad made a snack by combining 1/3 of a bowl of granola with ¼ of a bowl of

chopped banana and ½ of a bowl of yoghurt. Did one bowl hold all of the

ingredients at one time? Explain.

4. In the first two hockey games of the year, Rodayo played 1 ½ periods and 1

¾ periods. How many periods in all did he play?

5. Neptune completes 1 ½ turns about its axis each day. How many turns does

it complete in 1 week?

6. Shane has a piece of rope that is 7 4/5 units long. If he cuts it into pieces that

are each 3/5 of a unit long, how many pieces does he have?

7. About

4

3

of the students on the track team are girls. About

4

3

of these girls

are in grade 8. What fraction of the students on the track team are grade 8

girls?

8. Mara spent 3/5 of her vacation in British Columbia. While in that province,

she spent ½ of her time in Vancouver. What fraction of her vacation did

Michaela spend in Vancouver? If her vacation lasted 20 days, how many

days did she spend in Vancouver?

9. Nick mowed about

5

3

of the school lawn yesterday. He mowed another

4

1

of

the lawn this morning. How much is left to mow?

10. Jackie used to be on the phone

2

1

3 times as much as her brother. Her

parents threatened to take away the phone, so she cut down to

5

2

of the time

she used to be on the phone. How many times as much as her brother is

Jackie now on the phone?

Step-by-step explanation:

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Answer:

11,500 at 2% and $6,000 at 12%.

Step-by-step explanation:

Let x represent amount invested at 2% and y represent amount invested at 12%.

We have been given that Theodore invests a total of $17,500 in two accounts. We can represent this information in an equation as:

x+y=17500...(1)

x=17500-y...(1)

We are also told that he invested $17,500 in two accounts paying 2% and 12% annual interest, respectively. After one year, the total interest was $950.00.

Interest earned at 2% in one year would be 0.02x.

Interest earned at 12% in one year would be 0.12y

0.02x+0.12y=950...(1)

Upon substituting equation (1) in equation (2), we will get:    

0.02(17500-y)+0.12y=950

350-0.02y+0.12y=950

350+0.10y=950

350-350+0.10y=950-350

0.10y=600

\frac{0.10y}{0.10}=\frac{600}{0.10}

y=6000

Therefore, Theodore invested $6,000 at 12%.

Upon substituting y=6000 in equation (1), we will get:

x=17500-6000

x=11500

Therefore, Theodore invested $11,500 at 2%.

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3 years ago
Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.
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g(x) = -(x + 1)^2 - 3

Let's simplify this equation

g(x) = -(x^2 + 2x + 1) - 3

Distribute the negative sign

g(x) = -x^2 - 2x + 1 - 3

Combine like terms

g(x) = -x^2 - 2x - 2

The value of a = -2 and this value is LESS THAN 0

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x 25*x 25*x +50

1 25 75

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