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2 years ago

Jim uses ribbon to make bookmarks. Jim has 9 feet of ribbon, He uses 1/3 foot of ribbon to make each bookmark.

1 answer:

7 0

The answer to this is 27 ribbons bc first u have to convert 9 feet to inches which is 12*9=108in. Then since he uses 1/3 foot of ribbon to make each book mark ( u would know that 1/3 of a feet is 4 inches ) so u divided 108 by 4 which is 27 ribbons!!!! : )

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Damien , Jake , and Makayla shared a bowl of grapes . Damien ate x grapes . Jake ate 1 more than twice the number of grapes that

vivado [14]

Answer:

There were (4x + 2) grapes in the bowl

Step-by-step explanation:

Here, we are interested in calculating the total number of grapes in the bowl.

We have 3 people sharing the total

Damien are x grapes

Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes

Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes

And now, we have 6 grapes left.

To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.

Mathematically, that would be;

x + 1 + 2x + x -5 + 6

= 4x + 2

8 0

2 years ago

Read 2 more answers

The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social me

Rashid [163]

Answer: The proportion of students spending at least 2 hours on social media equals 0.7257 .

Step-by-step explanation:

Given : The typical college freshman spends an average of μ=150 minutes per day, with a standard deviation of σ=50 minutes, on social media.

The distribution of time on social media is known to be Normal.

Let x be the number of minutes spent on social media.

Then, the probability that students spending at least 2 hours (2 hours = 120 minutes as 1 hour = 60 minutes) on social media would be:

$P(x\geq120)=1-P(x$

Hence, the proportion of students spending at least 2 hours on social media equals 0.7257 .

4 0

2 years ago

Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere.

Advocard [28]

The volume of a sphere is given by:

$V= \frac{4}{3} \pi r^{3}$

So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution) that lies on the same plane. We know from calculus that:

 $V=\pi \int_{a}^{b}[f(x)]^{2}dx$

Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:

 $x^{2}+y^{2}=r^{2}$

Isolationg y:

 $y= \sqrt{r^{2}-x^{2}}$ 

So,

 $f(x)=y=\sqrt{r^{2}-x^{2}}$ 

 $V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx$

 $V=\pi \int_{a}^{b}(r^{2}-x^{2})dx$ 

being -r and r the limits of this integral.

 $V=\pi \int_{-r}^{r}(r^{2}-x^{2})dx$

Solving:

 $V=\pi[r^{2}x-\frac{x^{3}}{3}]\right|_{-r}^{r}$

Finally:

 $V=\pi(r^{3}-\frac{r^{3}}{3})-\pi(-r^{3}+\frac{r^{3}}{3})= \frac{4}{3} \pi r^{3}$

5 0

1 year ago

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The average cost of gas where you live is $3.50 per gallon, you are trying to decide whether to buy a hybrid or standard car. Th

Paladinen [302]

Answer:

Step-by-step explanation:

6 0

1 year ago

Read 2 more answers

starting on the positive x axis and moving 1/3 of the way around the circle in 3 m radius, ow far will it go?

nlexa [21]

You will move 1/3 of the circumference of the circle with a radius of 3m.

C=2πr so C/3 is:

d=2πr/3, we are told that the radius is 3m so:

d=2π3/3

d=2π m

d≈6.28 m (to nearest hundredth of a meter)

7 0

2 years ago