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noname [10]
3 years ago
6

-3 is a solution to 4x + 2 < -6

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

-3 is a solution

Step-by-step explanation:

4x+2 < -6

subtract 2 from each side

4x < -8

divide by 2

x < -2

-3 is a solution


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A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%
astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0
3 years ago
What is the probability of getting an odd number and a 4 sided shape on the spinner?
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Answer:

6

Step-by-step explanation:

3 odd numbers x 2 4-sided shapes = 6

4 0
3 years ago
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What is the possibility that a red or green marble will be selected from a bag containing 9 red marbles, 6 blue marbles , 7 gree
marusya05 [52]

Answer:

16/33

Step-by-step explanation:

We have a bag of :

9 red marbles

6 blue marbles

7 green marbles

11 yellow marbles

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P( Red or Green) = P(Red) + P(Green)

In the question we are not told if it is with replacement or without. We do both

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P( R or G) = P(Red) + P(Green)

P(Red)= 9/33

P(Green) = 7/33

= 9/33 + 7/33

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Therefore, the possibility that a red or green marble will be selected from a bag is 16/33

8 0
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Answer:

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A vertical shift down by 1 changes - 16 to -17.

Therefore, the new equation is:

4(x - 9)^2 - 17

5 0
3 years ago
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0.238095238 is the answer
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3 years ago
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