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3 years ago

Find an equation of variation in which y varies directly as x and y=420 when x= 100. Then find the value of y when x=11.

1 answer:

4 0

Let's Simplify X to equal 1 by dividing by 100. then we divide 420 by 100 to get 4.2, so y=4.2 when x=1, we then multiply by each by 11.

y = 46.2
x = 11

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A licensed nurse practitioner is instructed to give a patient 2100 milligrams of an antibiotic over a period of 36 hours. If the

forsale [732]

Answer:

233.33 mg

Step-by-step explanation:

9x = 2100

---> x = 2100/9

---> x = 233.33 mg

6 0

2 years ago

What property describes the number sentence 6+0=6

yawa3891 [41]

The identity property. the same applies for n*1=n.

8 0

3 years ago

From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha

Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

$\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}$

Hence, the correct option is D. 2/7

6 0

4 years ago

3.3 by 2.5 + 5.7 by 2.5

den301095 [7]

Answer:

22.5

Step-by-step explanation:

Using PEMDAS, we know that for expressions such as this, we're supposed to multiply before we add. This means that it should look something like this: (3.3 x 2.5) + (5.7 x 2.5). When you solve the multiplication first, you get 8.25 + 14.25. Solve, and you get 22.5. This problem can be solved using any basic calculator, or scratch paper!

5 0

3 years ago

Ava has already cycled 9 kilometers this year, plus she plans to cycle 2 kilometers during each trip to work. How many trips wil

stellarik [79]

Answer:Ava will have a total of 8 trips to make to total of 25 kilometers

Step-by-step explanation:

Total distance that Ava has already cycled this year is 9 kilometers.

she plans to cycle 2 kilometers during each trip to work.

Let x represent her number of trips to work. Therefore, for Ava to make a total of 25 kilometers, it means that

2x + 9 = 25

Subtracting 9 from both sides of the equation, it becomes

2x + 9 - 8 = 25 - 9

2x = 16

x = 16/2 = 8

7 0

3 years ago