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serious [3.7K]
3 years ago
6

A linear inequality in two variables has an ___________ number of solutions.

Mathematics
2 answers:
Alex Ar [27]3 years ago
5 0
Linear inequalities with two variables have infinitely many ordered pair solutions, which can be graphed by shading in the appropriate half of a rectangular coordinate plane. To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality.
uysha [10]3 years ago
4 0

An Infinite Number of solutions is the answer! LMK if you have any more questions, and have a nice day/evening.

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In triangle ABC, angle C is a right angle and BC=5. If measure of angle B = 30 degrees, find AC
Nina [5.8K]
Answer = d

using the 30 - 60 - 90 triangle theorem

side across from the angle

across from angle 30 is x
across from angle 60 is x rad. 3
across from 90 is 2x

BC is across from angle 60
so BC is the x rad 3
set the given measurement equal to it

x sqrt 3 = 5
÷ sqrt 3 ÷ sqrt 3
x = (5/ sqrt 3)
multiply top and bottom by the radical to get rid of the radical in the bottom

x = (5/ sqrt 3) × (sqrt 3/sqrt 3)
x = 5 sqrt 3/ 3

since side BC is x
BC = 5 sqrt 3/ 3

* Drawing the triangle diagram would help*
5 0
3 years ago
Read 2 more answers
The corner market sells potatoes at a rate of 1/2 dollars per potato.
inn [45]

Answer:

<em>The cost of 15 potatoes is $7.50</em>

Step-by-step explanation:

The potatoes are sold at a rate of $0.5 per potato.

1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.

Amanda can buy at most 10 potatoes

2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:

15 * $0.5 = $7.50

The cost of 15 potatoes is $7.50

6 0
3 years ago
50 random teenagers were asked how many hours a day they use their phone. They spent an average of 7 hours a day with a standard
tatyana61 [14]

Answer:

The margin of error for the true mean number of hours a teenager spends on their phone is of 0.4 hours a day.

Step-by-step explanation:

We have the standard deviation of the saple, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2\frac{1.3}{\sqrt{50}} = 0.4

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for the true mean number of hours a teenager spends on their phone is of 0.4 hours a day.

4 0
3 years ago
Which two statements comparing stock and bond investments are true?<br><br>please pick 2
arsen [322]

Answer:

I think statements 2 and 5 are true.

Step-by-step explanation:

We have to select the statements which are true comparing stock and bond investments.

I think statements 2 and 5 out of five statements are true.

That means  

2. Stocks have a higher risk than bonds, this statement is true.

5. Bonds are traced on an equity-based exchange, while stocks are purchased directly from the corporation, this statement is also true. ( Answer )

6 0
3 years ago
Mrs. Bailey has equal numbers of nickels and quarters but the value of the quarters is $1.80 more than the value of the nickels.
sdas [7]

The total value of all coins together is $2.7

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line

Let the number of nickels and quarters be x.

Value of nickel = 5 cents = $0.05

Value of quarters = 25 cents = $0.25

Thus, the total value equals

0.05x +$1.80 = 0.25x

$1.80 = 0.25x - 0.05x

$1.80 = 0.2x

x = 1.80/0.2

x = 9 coins

Thus the total value of all coins together is  ($0.05+$0.25)x 9 = $0.3 x 9

= $2.7

Learn more about Linear equation here :

brainly.com/question/12974594

#SPJ1

8 0
2 years ago
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