Make x the subject of the following... 2z = 3r + x

Answers

Answer 1
Answer: 2z = 3r + x

Make x the subject: 

x = 2z - 3r

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A 12 ounce bottle of shampoo last enrique 16 weeks.how lonh would you expect an 18 ounce bottle of the same brand to last him?

Answers

For Enrique a 12 ounce bottle lasts for 16 weeks. This is a known fact. We need to find the amount of days or weeks an 18 ounce bottle of the same brand of shampoo last.
Now
12 ounce bottle lasts = 16 weeks
                                   = (16 * 7) days
                                   = 112 days
18 ounce bottle lasts = (112/12) * 18
                                  = 168 days
                                 = 168/7 weeks
                                 = 24 weeks
So 18 ounce of the same brand of shampoo will last for 24 weeks.

Write y=2x^2-12x+16 in vertex form

Answers

Answer:

y = 2(x - 3)^(2) - 1

Step-by-step explanation:

y = 2x^(2) - 12x + 16  

y = 2(x^(2) - 6x + 8)        ( Factor out 2 )

y + 9= 2(x^(2) - 6x + 9) + 8 ( Complete the square ((-b)/(2) )^(2) ) Add 9 both sides  

y + 9 = 2 (x - 3)^(2) + 8      (Subtract 9 each side)  

y = 2 (x - 3) ^(2) - 1         ( simplify )

Train a leaves station traveling at 40 mph. Eight hours later train b leaves the same station traveling in the same direction at 60mph. how long does it take for train b to catch up to train a?What would the formula look like to reach the desired answer?
Thank you! :)

Answers

v_1=40\ mph\nv_2=60\ mph\nt_2=t_1-8\n\nv=(s)/(t)\to s=vt\n\ns_1=s_2\n\nv_1t_1=v_2t_2\n\nv_1t_1=v_2(t_1-8)

40t_1=60(t_1-8)\n\n40t_1=60t_1-480\n\n40t_1-60t_1=-480\n\n-20t_1=-480\ \ \ \ /:(-20)\n\nt_1=24\ (h)\n\nt_2=24-8=16\ (h)\n\nAnswer:16h.

Bob tells mark he has 3 kids, the product of their ages is 72, this is not enough info so he gives the sum of the ages then finally say My youngest child called Justice. What is the ages of the kids?

Answers

72 divided by 3 is 24.But he has a youngest child so there not all the same age. the 2 older is 26 and the youngest is 20 it would still equal 72. JUST IN CASE ITS A TRICK QUESTION.Either way you could change it up if you want it to be younger just take away 2 number from the other to.
24 because if the sum is 72 you divide 72 by 3 and you get 24

tyler mixed 1 1/2 cups of flour with 3/4 cup of sugar. What is the total amount of flour and sugar tyler mixed?

Answers

Hello! try simplifying those two numbers so that they have the same denominators. You can see that you can convert 11/2 of flour so that you can add it with 3/4 of sugar and get the total amount together.

To convert multiply the top and bottom by 2(11)/(2) &* (2)/(2) = (22)/(4):

Now add across the top numbers(3)/(4) + (22)/(4) = (25)/(4):

And finally simplify the fraction to get your final answer. You can pull out 24 out of 25 as the common factor for 4 and 6(25)/(4)=6 (1)/(4) and the remainder will be in the numerator.

for 7.52 you purchased 8 pens and highlighters from a local bookstore. Each highlighter cost $1.09 and each pen cost $.69. how many pens did you buy?

Answers

3 pens and 5 highlighters