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Sonbull [250]
3 years ago
12

Please help me solve each question! Make sure to show work so I can earn full credit.

Mathematics
2 answers:
omeli [17]3 years ago
8 0

(1)

5x-5\geq10\,\,\mbox{or}\,\,-3x+1>13\\5x\geq15\,\,\mbox{or}\,\,-3x>12\\x\geq3\,\,\mbox{or}\,\,x

(2)

5x + 3\leq18 \,\,\mbox{and}\,\,4 - x < 6\\5x\leq15 \,\,\mbox{and}\,\,- x < 2\\x\leq3 \,\,\mbox{and}\,\,x > 2\\2

IgorC [24]3 years ago
5 0

Answer:

1.  x < -4 or x ≥ 3

2.  -2 <  x ≤  3<em> </em>

Step-by-step explanation:

1. 5x - 5 ≥ 10

5x ≥ 15

x ≥ 3

-3x + 1 > 13

-3x > 12

x < -4

Solution is       x < -4 or x ≥ 3


2. 5x + 3 ≤ 18

5x ≤ 15

x ≤ 3

4 - x < 6

-x < 2

x > - 2

answer is   -2 < x ≤  3

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in a bag of keys there are 14 silver keys, 6 black keys , 10 copper keys and 2 painted keys of various colors. one key is drawn
Nataly_w [17]
In total there are 32 keys.
There 24 silver and copper keys so the probability of one being drawn is 24/32

Now just simplify
24/32 = 12/16 = 6/8 = 3/4
8 0
3 years ago
Please help me I will offer 20 points
sveticcg [70]

Answer:

9.3 x 8.5 = 79.05

7.6 x 2.4 = 18.24

an easier way to multiply decimals is to take away decimals and add later

example: 9.<u>3</u>x8.<u>5</u> > 93x85 = 7905 since there are two places behind the decimal add that many to the solution 7905 > 79.05

5 0
3 years ago
Allometric relations often can be modeled by ​f(x)= x^b​, where a and b are constants. One study showed that for a male fiddler
dolphi86 [110]

Answer:

a) f(2)= 0.448 (2)^{1.21}= 1.036 grams

b) 0.5 = 0.448 x^{1.21}

Dividing both sides by 0.448 we got:

\frac{0.5}{0.448} = x^{1.21}

We can appy the exponent \frac{1}{1.21} in both sides of the equation and we got:

(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams

Step-by-step explanation:

For this case we know the following function:

f(x) = 0.448 x^{1.21}

The notation is: x is the weight of the crab in​ grams, and the output​ f(x) is the weight of the claws in grams.

Part a

For this case we just need to replace x = 2 gram in the function and we got:

f(2)= 0.448 (2)^{1.21}= 1.036 grams

Part b

For this case we know tha value for f(x) =0.5 and we want to find the value of x who satisfy this condition:

0.5 = 0.448 x^{1.21}

Dividing both sides by 0.448 we got:

\frac{0.5}{0.448} = x^{1.21}

We can appy the exponent \frac{1}{1.21} in both sides of the equation and we got:

(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams

8 0
3 years ago
Can someone help me on number 8. I tried to do it, but I can’t seem to find the right answer.
qaws [65]

Check the picture below.

4 0
3 years ago
1. The amount of money Travis earns is given in the table.
Anastaziya [24]

Answer:

  $250

Step-by-step explanation:

The numbers in the table indicate a proportional relationship between earnings and hours worked. Among other things, that means you can find the earnings for 20 hours by using any table values that sum to 20 hours.

For example, 9 hours + 11 hours = 20 hours, so the earnings would be ...

  $112.50 +137.50 = $250.00 . . . for 20 hours

You could also use 4×5 hours = 20 hours, so ...

  4×$62.50 = $250 . . . for 20 hours

__

Or, you can figure ...

  $37.50/(3 h) = $12.50/h

so the pay for 20 hours is ...

  (20 h)×($12.50/h) = $250.00

3 0
3 years ago
Read 2 more answers
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