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Rudiy27
3 years ago
8

What is the solution to the compound inequality 3x-8>-5 and 2x-7<5

Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0

Answer:

<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>

Step-by-step explanation:

3x - 8  > -5              <em>add 8 to both sides</em>

3x > 3        <em>divide both sides by 3</em>

x > 1

2x - 7 < 5            <em>add 7 to both sides</em>

2x < 12          <em>divide both sides by 2</em>

x < 6

From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)

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Write the first five terms of the geometric sequence in which a1=64 and the common ratio is 5/4
natita [175]

Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio r. For example, we can say:

a_2 = a_1 r

a_3 = a_2 r = (a_1 r)r = a_1 r^2


We have a_1 = 64. To find a_2, let's multiply this term by \frac{5}{4}:

a_2 = 64 \cdot \frac{5}{4} = 80


Now, let's use this to find all of our other terms:

a_3 = 80 \cdot \frac{5}{4} = 100

a_4 = 100 \cdot \frac{5}{4} = 125

a_5 = 125 \cdot \frac{5}{4} = \frac{625}{4}


Thus, our terms are 64, 80, 100, 125, and (625/4).

8 0
3 years ago
ramon ate at a restaurant and gave the server a $4 tip the tip was 20% of the cost of the meal how much was the meal
Tomtit [17]

Answer:

The meal was $20

Step-by-step explanation:

20%= 1/5

1/5=4/? ---> one converts to four by multiplying it by 4 so you should do the the same with the denominator which is five.

5×4= 20

5 0
2 years ago
At a local high school, 40% of the students drink soda regularly, 30% of the students drink coffee regularly, and 10% of the stu
Savatey [412]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
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What is the next term of the arithmetic sequence?<br> 6,2, -2, -6,
marissa [1.9K]

Answer:

-10

Step-by-step explanation:

-4 between each number

3 0
3 years ago
!!25 POINTS AND BRAINLIEST!! A recipe calls for 2 cups of pizza sauce. I only want 3/4 OF the full 2 cups. How will I figure out
Nutka1998 [239]

Mathematical Answer: 2cups*3/4 = 1 and 1/2 cups or 1.5 cups.

How to do it while cooking:

  1. Get out a container large enough to hold at least 4 cups sauce
  2. Get out a "1 cup" and "1/2 cup" measuring cup.
  3. Measure out 1 cup of sauce with the "1 cup" measuring cup.
  4. Measure out  1/2 of a cup of sauce with the '1/2 cup' measuring cup.
  5. pour both cups into the larger container.

And there you go you have 3/4 of 2 cups of sauce.

<em>Hoped this helped!</em>

5 0
2 years ago
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