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2 years ago

Is (3,-1) a solution of the graphed system of inequalities?

Mathematics

1 answer:

xeze [42]2 years ago

6 0

Yes, (3,-1) is a solution to the graphed system of inequalities.

<h3>What are system of inequalities?</h3>

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.

As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).

So, the point will be a solution also because it lies in the shaded region.

Therefore, Yes, (3,-1) is a solution to the graphed system of inequalities.

Learn more about graphing inequalities here:

brainly.com/question/19598687

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ted and robin each gave a basket of green apples to their friend lily. ted's basket contains 5 apples, each weighing 7 1/4 ounce

nekit [7.7K]

Answer:

Step-by-step explanation:

Ted had 5 apples weighing 7¼

7¼×5=?

29/4×5=116/4

116/4=29 ounces

Robin had 6 apples weighing 6½

6½×6=?

13/2×6=78/2

78/2=39 ounces

Difference = 39-29=10 ounces

3 0

3 years ago

Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab

Nastasia [14]

Answer:

1/12

Step-by-step explanation:

Needed information

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

The sum of the probabilities of all outcomes must equal 1

Solution

We are told that the probability that the counter is not black is 3/4.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:

$\sf P(counter\:not\:black)=\dfrac34$

$\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14$

We are told that the probability that the counter is not white is 2/3.

As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:

$\sf P(counter\:not\:white)=\dfrac23$

$\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13$

We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

$\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}$

7 0

2 years ago

Convert 12 1/2% into a decimal (It isn't 12.50) Convert 12 1/2% into a fraction (It isn't 25/2)

Hoochie [10]

Answer:

0.125 and 1/8

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100 to move 2 decimal places to the left.

12.50% / 100 = 0.125

To convert a percentage into a fraction, rewrite the decimal number you got and put it over 1. Multiply the numerator and denominator by 1000 to move 3 decimal places to the right and get your fraction.

$\frac{0.125}{1}$ · $\frac{1000}{1000}$ = 125/1000