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Gala2k [10]
4 years ago
5

Three times the sum of a number and 4 is 8 less than one-half the number. Write and solve an equation to find the number.

Mathematics
1 answer:
Dahasolnce [82]4 years ago
7 0
3(x+4)=1/2x-8  that's your original equation. If you read through the problem as you look at my work, you will see it matches up as you read it out loud and see my equation. 
to solve, first distribute.
3x+12=1/2x-8 
next you need to subtract 1/2x from both sides. this is using the identity property of addition. 
2.5x+12=-8
next, subtract 12 from both sides. this demonstrates the identity property of subtraction.
2.5x=-20
next, divide by the coefficient of x (which is 2.5) to find the value of x, your variable.
x=8. you're done. hope this helped :)
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umka2103 [35]
3rd one
Reason: 
Point slope formula: y-y1=m(x-x1) 
y1=-4
x1=1
m=1/2
Put it all together and you get a final answer of:
y-(-4)=1/2(x-1)
two negs make one pos
so, 
final answer:<span>y+4=1/2(x-1)</span>
7 0
3 years ago
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Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% a
Lera25 [3.4K]

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.

4 0
3 years ago
Solve the following inequality: 3-5x-x^2&gt;=0
Dennis_Churaev [7]

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

5 0
3 years ago
4. Seven times the difference of a number k and five is twenty-onel
laila [671]

Answer:

k = 8

Step-by-step explanation:

7(k - 5) = 21

k - 5 = 3

k = 8

Hope this helps!

4 0
3 years ago
What is a correct way to evaluate the expression 80 - (50 – 35)?
Svetach [21]

Answer:

PEMDAS!!! (Parentheses, exponents, multiplication, division, addition, subtraction)

Step-by-step explanation:

Parentheses first!

50-35=15

Then subtraction!

80-15=65

Hope this helped!!! :)

6 0
3 years ago
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