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SIZIF [17.4K]
2 years ago
9

Solve the following word problem using two variables. Show each step of your work.

Mathematics
1 answer:
masha68 [24]2 years ago
7 0

Answer:

John is 16 and Maya is 11

Step-by-step explanation:

x=Maya's age

x+5=John's age

x+x+5=27

2x+5=27

     -5   -5

2x=22

/2    /2

x=11

x+5=

11+5= 16

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Whats 9 + 10
romanna [79]

Answer:

19 BUT BACK IN 2015 OR 2011 IR 2013 ITS TO BE 21 AS A JOKE  IT USED TO BE VERY FUNNY LIKE WANT 9 PLUS 10 21 HAHAHAHAHAHAHAHAHA

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
−126 = 14k<br> MAKE SURE TO SHOW YOUR WORK PLEASE HURRY
vovangra [49]

Answer:

k = -9

Step-by-step explanation:

When a number (coefficient) is next to a letter (variable) that means you multiply. To solve you would to the opposite, which is to divide.

-126 ÷ 14 = -9

So -9 is equal to k.

Hope that helps and have a great day!

3 0
3 years ago
Is the​ equation's graph opening up or​ down?
Inessa05 [86]

Answer:

Step-by-step explanation:

Your "y=2xsquared-12x+10" translates into y = 2x^2 - 12x + 10.  This factors into y = 2(x^2 - 6x + 5).

Setting this = to 0 results in y = 2(x - 5)(x - 1) = 0, so that the x-intercepts are (5,  0) and (1, 0).  The x-coordinate of the vertex lies halfway between x = 1 and x = 5, that is, at x = 3.  Using synthetic division to evaluate y = 2x^2 - 12x + 10 at x = 3, we get

3    2    -12    10

              6    -18

     ------------------

      2     -6     -8

Therefore, the vertex is located at (3, -8).

Setting x = 0 results in the y-intercept:  y = 2(0)^2 - 12(0) + 10 => (0, 10)

5 0
3 years ago
If $10,000 is invested in an account at the rate of 6.25% compounded monthly, then the amount after 15 years is approximately
Liono4ka [1.6K]
The formula is
A=p (1+r/k)^kt
A future value?
P present value 10000
R interest rate 0.0625
K compounded monthly 12
T time 15 years
A=10,000×(1+0.0625÷12)^(12×15)
A=25,473.84
5 0
3 years ago
I need help on #17 can someone please help me?
sashaice [31]

Answer:

t=2

Step-by-step explanation:

We are given the equation

h = -16t²+36t+1

Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).

Therefore, as 9 is the height, we can plug that into our equation to get

9 = -16t²+36t+1

To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get

-16t²+36t-8=0

To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation

-16t²+32t+4t-8=0

-16t(t-2) + 4(t-2) = 0

(-16t+4)(t-2) = 0

Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0

t-2 = 0

t=2

-16t+4 = 0

-16t = -4

t = 1/4

Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down

3 0
3 years ago
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