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gulaghasi [49]
3 years ago
8

Solve the compound inequality.

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
7 0
5x - 11 < -11
5x < 0
x < 0

4x + 2 > 14
4x > 12
x > 3

x<0 or x > 3
Alenkinab [10]3 years ago
6 0

Answer:

x<0 or x> 3

First option is correct.

Step-by-step explanation:

The given inequality is

5x – 11 < –11 or 4x + 2 > 14

Add 11 to both sides in first inequality and subtract 2 to both sides in second inequality

5x  < –11+11 or 4x  > 14-2

5x < 0 or 4x > 12

Divide both sides by 5 in first inequality and divide both sides by 4 in second inequality

x<0 or x> 3

First option is correct.

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Mr. Cooper is making homework packets. He will put 6 worksheets in each packet. There are 18 worksheets. How many packets can he
ziro4ka [17]

6 times 18

Answer is 108

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3 years ago
Can anyone solve the last question?
sesenic [268]
As stated in (i), the equation of the line is: ln y = -0.015x + .26
(By the way, I checked your answers for parts (i) and (ii) and they are both correct)

(iii)
Plug in (1.1) for y and solve:
ln (1.1) = -0.015x + .26
0.095 = -0.015x + .26
-0.165 = - 0.015x
 10.979 = x

Answer: x = 10.979
7 0
3 years ago
1. What is a perfect square? 2. What is the square root of 4x²? 3. What is the square root of 25? 4. Factor 4x² + 20x + 25.
Ulleksa [173]

Answer:

Step-by-step explanation:

1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are

4(2 × 2)

9(3 × 3)

16(4 × 4)

25(5 × 5)

36(6 × 6)

2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)

3) square of 25 is 5

4) 4x² + 20x + 25

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 4

b = 20

c = 25

Therefore,

x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4

x = [- 20 ± √(400 - 400)]/8

x = [- 20 ± 0]/8

x = - 20/8

x = - 2.5

3 0
3 years ago
2. Xamdi is having a birthday party. The event location says the total cost includes a fixed rental fee of $80 and $10 per guest
Stells [14]
80+10x is the expression. To find the cost for 9 guests, simply plug in 9 for x. This becomes an equation reading 80+10(9)=170. The total cost for 9 guests is $170.00.


4 0
4 years ago
Serenity has 2\frac{1}{2} 2 1 ​ cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 ​ cup of dough for each dumpling, h
BARSIC [14]

3 dumplings can be made by Serenity

<em><u>Solution:</u></em>

Given that,

Serenity has 2\frac{1}{2} cups of dough to make dumplings

She uses \frac{3}{4} cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}

\text{Cups of dough for 1 dumpling } = \frac{3}{4}

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3

Thus 3 dumplings can be made

6 0
3 years ago
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