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VladimirAG [237]
3 years ago
6

How can you tell if an equation has one, zero, or infinite solutions? For example:

Mathematics
1 answer:
QveST [7]3 years ago
8 0
Simplifying
-4v + 2v = -12

Combine like terms: -4v + 2v = -2v
-2v = -12

Solving
-2v = -12

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Divide each side by '-2'.
v = 6

Simplifying
v = 6
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Sharon runs a day care center. Of the last 10 children to enroll at the day care center, 4 of them have been preschoolers. What
JulijaS [17]

Answer:

The experimental probability that the next child to enroll will be a preschooler is 40%

P(E) = 40%

Step-by-step explanation:

What is Experimental Probability?

Experimental probability is basically the ratio of the number of outcomes occurred to the total number of trials in an actual experiment.

In this problem we are given that out of the last 10 children to enroll at the day care center, there are 4 children who belong to the category of preschoolers.

We are asked to find the experimental probability that the next child to enroll will be a preschooler.

The required experimental probability is given by

P(E) = \frac{\text{number \:of \:desired \:outcomes}}{\text{total \:number \:of \:outcomes}}

Where number of desired outcomes are 4 and total number of outcomes are 10

So the probability is

P(E) = \frac{4}{10} \\\\P(E) = 0.40\\\\P(E) = 40\% \\\\

Therefore, the experimental probability that the next child to enroll will be a preschooler is 40%

3 0
2 years ago
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27
Korvikt [17]

Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.

440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

4 0
2 years ago
How many pints are there in 6 quarts 1 pint
yawa3891 [41]

Answer:

There are 13 pints in 6 quarts and 1 pint.

8 0
3 years ago
Read 2 more answers
How to calculate the diameter of cylinder if you are given volume of 1000Litre and 224cm height ​
Afina-wow [57]

well, let's first notice, all our dimensions or measures must be using the same unit, so could convert the height to liters or the liters to centimeters, well hmm let's convert the volume of 1000 litres to cubic centimeters, keeping in mind that there are 1000 cm³ in 1 litre.

well, 1000 * 1000 = 1,000,000 cm³, so that's 1000 litres.

\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=1000000~cm^3\\ h=224~cm \end{cases}\implies \stackrel{cm^3}{1000000}=\pi r^2(\stackrel{cm}{224}) \\\\\\ \cfrac{1000000}{224\pi }=r^2\implies \sqrt{\cfrac{1000000}{224\pi }}=r\implies \cfrac{1000}{\sqrt{224\pi }}=r\implies \stackrel{cm}{37.7}\approx r

now, we could have included the "cm³ and cm" units for the volume as well as the height in the calculations, and their simplication will have been just the "cm" anyway.

6 0
1 year ago
What is the surface area of the square pyramid
user100 [1]

Answer:

128 feet squared

Step-by-step explanation:

you multiply 4 by 4 to get 16 ,

then you multiply 7 by 4 and get 28,

also multiply 28 by 4 and get 112 ,

finally add 112 and 16 to get 128


6 0
2 years ago
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