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ddd [48]
3 years ago
12

Assign two variables for each problem, and write the equations. Solve.

Mathematics
1 answer:
Elza [17]3 years ago
7 0
Lets make k equal to Kate's age and j equal to Joey's age.  If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11.  Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11

Since you need to figure out how old Joey is, you need to somehow get k to cancel out.  The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5   (you have to add the bottom equation to the top equation)
k+j=11     (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.

I hope this helps.
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3w + 7=8 need help with this
LiRa [457]
Hope this helps you out 3w+7=8

The answer is w= 1/3

Step by step:

3w+7=8
Step 1: is subtract is 7 from both sides.
3w+7-7=8-7
3w=1

Step 2: Divide both sides by 3.
3w/3 = 1/3

Your solution is:

w=1/3
6 0
3 years ago
Based on the NYC Department of Health Community Health Survey in 2010, a 95% confidence interval for the proportion of New Yorke
g100num [7]

Answer:

With 95% confidence, at least 1,794,000 were tested for HIV within the past 12 months

Step-by-step explanation:

The lower bound of the confidence interval is 29.9%.

So, with 95% confidence, we know that at least 29.9% of the New York population tested for HIV.

Out of 6 million, that is:

0.299*6000000 = 1,794,000

With 95% confidence, at least 1,794,000 were tested for HIV within the past 12 months

8 0
3 years ago
HELP PLEASE!!
ANTONII [103]
<span>Volume of the Sphere V = 4/3pi x r^3 So when diameter d = 3 inches => r = 1.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 1.5^3 = 14.14 in So when diameter d = 8 inches => r = 4 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4^3 = 268.03 in So when diameter d = 9 inches => r = 4.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4.5^3 = 381.63 in value for option (a) is 3 x 14.14 = 42.42 inches value for option (b) is 268.03 inches value for option (c) is 381.63 / 2 = 190.815 inches So the correct option would be (b)</span>
5 0
3 years ago
15. In the diagram AB is parallel to CD.<br> Calculate the value of a.<br> NOT TO<br> SCALE
VikaD [51]

Same-side interior angles, which are shown here, are supplementary, which means that they add up to 180 degrees.

5a + a = 180

6a = 180

a = 30 degrees

Hope this helps! :)

5 0
3 years ago
Help ASAP! question in pic! will give brainliest!
serious [3.7K]
I think it’s 2
Hope that helped sorry if it’s wrong
8 0
3 years ago
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