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myrzilka [38]
3 years ago
10

In which set do all values make the inequality 3x+5<26 true?

Mathematics
1 answer:
MissTica3 years ago
6 0

2x - 1 < 10

Add 1 to both sides:

2x < 11

Divide both sides by 2:

x < 5.5

Answers must be smaller than 5.5, therefore option (D) is the answer.

Answer: D. {2, 3, 4}

<3 - Bee

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The owner of a used car lot wants to buy many cars at an auction as he can while not spending more than $20000. If he expects th
AleksAgata [21]

Answer:

5

Step-by-step explanation:

Given that:

Total maximum amount that the owner wishes to spend = $20000

Average price of each car = $4000

To find:

How many cars that the owner can expect to buy?

Solution:

Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.

i.e.

\text{Number of cars expected to be bought} = \dfrac{\text{Total money available with the owner}}{\text{Average Price of car}}

We have the following values as given in the question statement:

Total money available = $20000

Average price of car = $4000

Therefore, the answer is:

\text{Number of cars expected to be bought} = \dfrac{20000}{4000} = \bold{5}

The owner can expect to buy 5 number of cars.

7 0
2 years ago
Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11 . (1 point)
Luden [163]
Answer: negative 9 square root of 11
explanation:
5√11 - 12√11 - 2√11
collect like terms by calculating the sum or difference of their coefficients:
(5-12-2) √11
(5-12-2) = (5-14) = -9
so, -9√11
5 0
3 years ago
 If the trapezoid below is reflected across the x-axis, what are the coordinates of B'?
Grace [21]
The x-coordinate remains the same as the x-coordinate of point B.
The y-coordinate becomes the additive inverse of the y-coordinate of point B.

Answer: B. (3, -8)

9 0
3 years ago
Read 2 more answers
Salaries of 49 college graduates who took a statistics course in college have a​ mean, x overbar​, of $ 65 comma 300. Assuming a
Molodets [167]

Answer: 60,540< \mu

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline{x}-z^*\dfrac{\sigma}{\sqrt{n}}< \mu

, where \sigma = Population standard deviation.

n= sample size

\overline{x} = Sample mean

z* = Critical z-value .

Given :  \sigma=\$17,000

n= 49

\overline{x}= \$65,300

Two-tailed critical value for 95% confidence interval = z^*=1.960

Then, the 95% confidence interval would be :-

65,300-(1.96)\dfrac{17000}{\sqrt{49}}< \mu

=65,300-(1.96)\dfrac{17000}{7}< \mu

=65,300-4760< \mu

=60,540< \mu

Hence, the 95​% confidence interval for estimating the population mean (\mu) :

60,540< \mu

7 0
2 years ago
Which expression is equivalent to 4^-5 • 3^-5 ?
valkas [14]

The expression equivalent to 4^-5 • 3^-5  is 12^-5

<h3>What are equivalent expressions?</h3>

Equivalent expressions are simply known as expressions with the same solution but different arrangement.

Given the index expressions;

4^-5 • 3^-5

Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.

This can be written as;

4(3) ^ -5

expand the bracket

12^-5

Thus, the expression equivalent to 4^-5 • 3^-5  is 12^-5

Learn more about equivalent expressions here:

brainly.com/question/24734894

#SPJ1

7 0
1 year ago
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