Can someone help? it’s 7th grade math and im finishing this project for the end of the year

krek1111 [17]

<h3>SolutioN :- </h3>

Here we are provided with a diagram of a triangle. We need to find out the length of the segment LM . As we can see that ,

∆ KNL ≈ MNL , [ By AAS ]

Therefore ,

KN = MN ( by cpct )

⇒ KN = MN

⇒ 14x - 3 = 25

⇒ 14x = 25 + 3

⇒ 14x = 28

⇒ x = 2

Put this x = 2 in LM :-

⇒ LM = 9x + 5

⇒ LM = 9*2 + 5

⇒ LM = 18 + 5

⇒ LM = 23

Hence the required answer is 23 .

4 0

3 years ago

40% of a nurse’s time is spent dispensing medicine to patients. If 16 hours per week is spent dispending medicine, how many hour

Natasha2012 [34]

<h3>Given</h3>

40% of work week is 16 hours

hours in work week

<h3>Solution</h3>

Write the given information as an equation.

... 0.40 × (work week) = 16 hours

Divide by the factor you don't want (0.40).

... (work week) = (16/0.40) hours

... work week = 40 hours

_____

40% means 40/100 (forty hundredths) or 0.40 (forty hundredths). (The % symbol is a shorthand way to write /100.)

6 0

3 years ago

Patty lives on a chicken farm and can collect 80 eggs in 2 hours. At that rate how long will it take her to collect 360 eggs?

Mamont248 [21]

Answer:

9 hours

Step-by-step explanation:

First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.

Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.

3 0

3 years ago

Read 2 more answers

Rewrite 3/2 : 1/4 as a unite rate

finlep [7]

Answer:

6 : 1

Step-by-step explanation:

A unit rate has to be "a number to 1" or "x:1". Here we have a number to 1/4. Multiply both numbers by 4 so the 1/4 becomes 1.

3/2 * 4 = 12/2 = 6

1/4 * 4 = 1

3/2 : 1/4 is the same as 6 : 1

6 0

3 years ago

Read 2 more answers

The average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 oun

Artist 52 [7]

Answer:

The probability that the mean of this sample is less than 16.1 ounces of beverage is 0.0537.

Step-by-step explanation:

We are given that the average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 ounces.

A random sample of sixty-five 16-ounce beverage cans are selected

Let $\bar X$ = sample mean amount of a beverage

The z-score probability distribution for the sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean amount of a beverage = 16.18 ounces

$\sigma$ = standard deviation = 0.4 ounces

n = sample of 16-ounce beverage cans = 65

Now, the probability that the mean of this sample is less than 16.1 ounces of beverage is given by = P( $\bar X$ < 16.1 ounces)

P( $\bar X$ < 16.1 ounces) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{16.1-16.18}{\frac{0.4}{\sqrt{65} } }$ ) = P(Z < -1.61) = 1 - P(Z $\leq$ 1.61)

= 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9591.

8 0

3 years ago