PLEASE HELP!!!!! DUE IN 5!!!!

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many

Olin [163]

Given:

Total number of marbles in the bag = 150

There are 21 blue marbles for every 4 white marbles.

To find:

The number of blue marbles in the bag.

Solution:

Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.

Let the number of blue marbles be 21x and white marbles be 4x.

Total number of marbles in the bag = 150

$21x+4x=150$

$25x=150$

Divide both sides by 25.

$x=\dfrac{150}{25}$

$x=6$

Now,

$\text{Blue marbles}=21x$

$\text{Blue marbles}=21(6)$

$\text{Blue marbles}=126$

Therefore, the number of blue marbles is 126.

8 0

2 years ago

A physical fitness association is including the mile run in its secondary- school fitness test. the time for this event for boys

liberstina [14]

Answer:

The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

μ of the time a group of boys run the mile in its secondary- school fitness test = 440 seconds

σ of the time a group of boys run the mile in its secondary- school fitness test = 40 seconds

2. Find the probability that a randomly selected boy in school can run the mile in less than 348 seconds.

Let's find out the z-score, this way:

z-score = (348 - 440)/40

z-score = -92/40 = -2.3

Now let's find out the probability of z-score = -2.3, using the table:

p (-2.3) = 0.0107

p (-2.3) = 0.0107 * 100

p (-2.3) = 1.1% (rounding to the next tenth)

The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.

4 0

3 years ago

Read 2 more answers

Number of Boxes Cost 18 $7.38 27 $15.39 30 $13.50 36 $18.36 40 $18.80 An office is restocking office supplies. The table shows t

malfutka [58]

Answer:

18 clips for $7.38 is the best value deal.

Step-by-step explanation:

An office is restocking office supplies. The table below shows the cost for the number of boxes of paperclips. We need to find what is the best value is.

To find the best value for money we can check the price of each paperclip.

To check the price of each paper clip we can use the following formula:

$\text{Price of each paper clip} =\frac{\text { price of the box }} {{\text {number of clips in the box }}}$

Now we can calculate the best value deal as follows:

$\text{Price of each clip is box 1}=\frac{7.38}{18}=0.41$$

$\text{Price of each clip is box 2}=\frac{15.39}{27}=0.57$$

$\text{Price of each clip is box 3}=\frac{13.50}{30}=0.45$$

$\text{Price of each clip is box 4}=\frac{18.36}{36}=0.51$$

$\text{Price of each clip is box 5}=\frac{18.80}{40}=0.47$$

So, from looking at the prices of each paperclip we can conclude that the 18 clips for $7.38 is the best value deal.

8 0

3 years ago

Which equation represents a function that is nonlinear?

vekshin1

Answer:

y = x^2 - 25

Step-by-step explanation:

curvy so nonlinear

3 0

3 years ago

Halp!!!I need this for tomorrow

Vadim26 [7]

I think the answer you are looking for is 70°

8 0

3 years ago