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professor190 [17]

3 years ago

13

Which is the best interpretation of the solution set for the compound inequality? 3(2x + 1) > 21 or 4x + 3 4 D. all real numb

ers

1 answer:

loris [4]3 years ago

5 0

D

I just had the same test

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Three rational numbers between 5/31 and 6/31

Ludmilka [50]

Answer:

$\dfrac{26}{155}$ , $\dfrac{27}{155}$ , and $\dfrac{28}{155}$ .

Step-by-step explanation:

What is a rational number? By definition, a rational number can be represented as the fraction of two integers.

The goal is to find three fractions in the form $\dfrac{p}{q}$ between $\dfrac{5}{31}$ and $\dfrac{6}{31}$ .

$\dfrac{5}{31} < \dfrac{p}{q} < \dfrac{6}{31}$ .

At this moment, there doesn't seems to be a number that could fit. The question is asking for three of these numbers. Multiple the numerator and the denominator by a number greater than three (e.g., five) to obtain

$\dfrac{25}{155} < \dfrac{p}{q} < \dfrac{30}{155}$ .

Since $p$ and $q$ can be any integers, let $q = 155$ .

$\dfrac{25}{155} < \dfrac{p}{155} < \dfrac{30}{155}$ .

$\implies 25 < p < 30$ .

Possible values of $p$ are 26, 27, and 28. That corresponds to the fractions

$\dfrac{26}{155}$ , $\dfrac{27}{155}$ , and $\dfrac{28}{155}$ .

These are all rational numbers for they are fractions of integers.

6 0

3 years ago

Miguel is making a snack mix. The recipe calls for six parts of spicy tortilla chips to three parts of corn chips. Miguel would

Harlamova29_29 [7]

Equation:
6x + 3x = 45

To find X:
6x = 45
45/6 = 7.5
x = 7.5

To find other X:
3x = 45
45/3 = 15
x = 15

Final answer:

7.5 cups tortilla chips

15 cups corn chips

3 0

3 years ago

Read 2 more answers

What do the Roman Numerals CLXXV111 represent

fomenos

178.

If number CLXXVIII is within to text or sentence it should be read in its equivalent in arabic numbers, in this case 178.

:)

3 0

3 years ago

A quadrilateral has angle measures of 120°, 37°, and 48°. What is the measure of the fourth angle?

White raven [17]

155 degrees because the sum of the angles in a quadrilateral is 360 degrees.
x + 120 + 37 + 48 = 360
x= 155

5 0

3 years ago

Read 2 more answers

A water tank holds 504 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 672 gallons but is leak

Orlov [11]

Answer:

That will be 75.6 if am nt mistaken

7 0

3 years ago