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mote1985 [20]
3 years ago
11

Solve for x. 4x−4<8 AND9x+5>23

Mathematics
2 answers:
djyliett [7]3 years ago
6 0
I think the first one is
x<3

And the second one is
x<2
Stella [2.4K]3 years ago
6 0

Answer:

x < 3 and x > 2

Step-by-step explanation:

We are to solve for 4x - 4  < 8 and 9x + 5 > 23

So 4x - 4 < 8,

4x < 8 + 4

4x < 12

x < 12/4

x < 3

And for

9x + 5 > 23

9x > 23 - 5

9x > 18

x > 18/9

x > 2

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Helen paid $246 for three jeans from her favourite clothing store. How much did she pay for each jeans she bought?
Natali5045456 [20]

Answer:

estimate: $80

exact amount paid: $82

Step-by-step explanation:

If you round $246 to 240, then divide it by 3, you should get $80. The cost per pair should be around $80 each

For the exact answer you take the amount spent (246) and divide it by the amount of jeans she bought (3).

246/3 = 82

7 0
3 years ago
Match each value with its formula for ΔABC.<br><br><br><br><br> (choices are in 2nd pic)
bogdanovich [222]

Answer:

1- x b

2-sinc

3-sin b

4-sin a

5- x c

6- x a

Step-by-step explanation:

6 0
3 years ago
Solve the simultaneous equation<br> 3x + y = 8<br> x - 3y = 11
podryga [215]

Answer:

x = 7 / 2, y = - 5 / 2

Step-by-step explanation:

3x + y = 8 ------> equation 1

3 ( 3x + y = 8 )

9x + 3y = 24 ------> equation 2

x - 3y = 11 ------> equation 3

Add equations 2 & 3,

9x + 3y = 24

x - 3y = 11

_________

10x + 0 = 35

10x = 35

x = 35 / 10

x = 3.5

Substitute x = 3.5 in equation 1,

3x + y = 8

3 ( 3.5 ) + y = 8

10.5 + y = 8

y = 8 - 10.5

y = - 2.5

x = 3.5

= 35 / 10

x = 7 / 2

y = - 2.5

= - 25 / 10

y = - 5 / 2

7 0
3 years ago
In a class of 30 students, 12 are girls. One-third of the boys study history.
frosja888 [35]
The number of boys is:
30 - 12 = 18.

18 boys* (1/3)= 6 boys
There are 6 boys who study history.

6 students/ 30 students= 1/5.

1/5 of the students are boys who study history~
7 0
4 years ago
The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. What is the probability a rider must wait b
serg [7]

Answer:

17.65% probability a rider must wait between 1 minute and 1.5 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is between c and d is given by the following formula

P(c \leq X \leq d) = \frac{d - c}{b - a}

For this problem, we have that:

a = 30, b = 200, c = 1*60 = 60, d = 1.5*60 = 90

P(60 \leq X \leq 90) = \frac{90 - 60}{200 - 30} = 0.1765

17.65% probability a rider must wait between 1 minute and 1.5 minutes

7 0
3 years ago
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