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gladu [14]
3 years ago
12

Jacob spent 3 hours skiing and snowboarding. He skied for 1 hours 25 minutes. How long did he spend snowboarding?

Mathematics
1 answer:
lord [1]3 years ago
3 0

Answer:

Hours spent for snowboarding = 1 hour 35 minutes

Step-by-step explanation:

Total hours spent for skiing and snowboarding = 3 hours

Hours spent for skiing = 1 hours 25 minutes

How long did he spend snowboarding?

Hours spent for snowboarding = Total hours spent for skiing and snowboarding - Hours spent for skiing = 1 hours 25 minutes

= 3 hours - 1 hours 25 minutes

1 hour = 60 minutes

3 hours = 180 minutes

1 hours 25 minutes = 85 minutes

3 hours - 1 hours 25 minutes

= 180 minutes - 85 minutes

= 95 minutes

95 minutes = 1 hour 35 minutes

Hours spent for snowboarding = 1 hour 35 minutes

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A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of the track
tino4ka555 [31]

Answer:

54 Pounds

Step-by-step explanation:

We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.

The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem

67.5

We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.

67.5 x 0.8

This leads the answer to be 54 Pounds

Hope this helped :D

4 0
3 years ago
Sales of 10000 increased by 65% each year write a function that represents the situation
erastovalidia [21]

Answer: y=10000(1.65)^x


Step-by-step explanation:

Given: The sales of 10000 increased by 65% each year .

Let x be the number of years.

The rate of growth=65%= 0.65

The exponential growth function is given by

y=A(1+r)^x

, where A is initial amount and r is the rate of growth in decimal.

Then the increase in the sales id given by :-

y=10000(1+0.65)^x\\\Rightarrow\ y=10000(1.65)^x

6 0
3 years ago
The one-to-one functions g and h are defined as follows
Debora [2.8K]

Answer:

g^-^1(x)=-8

h^-^1(x)=\frac{x-4}{3}

(h^-^1 \ o\ h)(-3)=-3

Step-by-step explanation:

When given the following functions,

g=[(-2,-7),(4,6),(6,-8),(7,4)]

h(x)=3x+4

One is asked to find the following,

1. Question 1

g^-^1(4)

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

g^-^1(4)

g(4)=6\\g(6)=-8\\g^-^1(4)=-8

2. Question 2

h^-^1(x)

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)

h^-^1(x)=\frac{x-4}{3}

3. Question 3

(h^-^1 \ o\ h)(-3)

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function (h^-^1) and simplify. Then substitute (-3) into the result.

h^-^1\ o\ h

\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x

Now substitute (-3) in place of (x),

=-3

8 0
3 years ago
Is (0,0) a solution to this system?
Anuta_ua [19.1K]

Answer:

option-B

Step-by-step explanation:

we are given system of inequality as

y\leq x^2-4

y>2x-1

now, we can check solution

At (0,0):

we can plug x=0 and y=0

and check inequality

0\leq 0^2-4

0\leq -4

so, this is FALSE

now, we can check second inequality

0>2\times 0-1

0>-1

So, this is TRUE

so, option-B

5 0
3 years ago
Read 2 more answers
Greg studied for 12 minutes. This is 40% of the time he wants to study today. How many more minutes does Greg need to study toda
dolphi86 [110]

Answer:

18 More Minutes

Step-by-step explanation:

Hi,

I think I can help.

What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.

To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.

But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)

So we can do :

40 / 4

=

10%

Also

12 / 4

=

3

So with this we can conclude that 10% of his total time is 3 minutes.

Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.

So :

10% x 10

=

100%

3 x 10

=

30 minutes

So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.

We can now simply take the total time and take off the time spent already to find this answer :

30 - 12

=

18 minutes

That is your answer, he needs to study 18 more minutes.

I hope this helps!

If you have any questions or concerns please comment or message me! :)

7 0
2 years ago
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