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3 years ago

Please help! Due in 10 minutes, 7th grade math

Mathematics

2 answers:

RUDIKE [14]3 years ago

8 0

Answer:

Step-by-step explanation:

I predict these tingz

MAVERICK [17]3 years ago

6 0

Answer:1/6y+1/6(y+12)-2

Step-by-step explanation:

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mr. ken's class is collecting empty water bottles. they started with 17 water bottles on day 1. on day 3, they had 30 water bott

Oxana [17]

They had 23 and 38 water bottles on day 2 and day 4 respectively. Also, there will be 68 water bottles on day 7.

Explanation

Suppose, the equation representing the number of bottles is $y= ax^2 +bx+c$ , where $x$ is the number of days.

There are 17 water bottles on day 1, 30 water bottles on day 3 and 47 water bottles on day 5

So, the three points in the form of (x, y) are: (1, 17) , (3, 30) and (5, 47)

Plugging these three points into the above equation, we will get .....

$17=a(1)^2 + b(1) +c\\ a+b+c=17 ............................ (1)\\ \\ 30=a(3)^2+b(3)+c\\ 9a+3b+c=30 ......................... (2) \\ \\ 47=a(5)^2+b(5)+c\\ 25a+5b+c=47 ......................... (3)$

Subtracting equation (1) from equation (2) , we will get .....

$8a+2b=13 ..................... (4)$

Subtracting equation (2) from equation (3) , we will get .....

$16a+2b=17 ...................... (5)$

Now, subtracting equation (4) from equation (5) , we will get ......

$16a -8a = 17-13\\ \\ 8a= 4\\ \\ a=\frac{4}{8}= 0.5$

Substituting this $a= 0.5$ into equation (4) ........

$8(0.5)+2b=13\\ \\ 4+2b=13\\ \\ 2b=9\\ \\ b=\frac{9}{2}=4.5$

Again, substituting $a=0.5$ and $b=4.5$ into equation (1) , we will get ......

$0.5+4.5+c=17\\ \\ 5+c=17\\ \\ c=17-5 =12$

So, the equation will be now: $y= 0.5x^2 +4.5x+12$

For finding the number of bottles on day 2 , day 4 and day 7 , we need to plug $x=2 , 4, 7$ respectively into the above equation.

For $x= 2$ , $y= 0.5(2)^2 +4.5(2)+12 = 2+9+12= 23$

For $x= 4$ , $y= 0.5(4)^2 +4.5(4)+12 = 8+18+12= 38$

For $x= 7$ , $y= 0.5(7)^2 +4.5(7)+12 = 24.5+31.5+12= 68$

So, they had 23 water bottles on day 2 and 38 water bottles on day 4

Also, there will be 68 water bottles on day 7

6 0

3 years ago

X = 5 and y = 8 plz help

Galina-37 [17]

Hi,

To solve this expression, use the inputs of the x and y values to calculate the expression and result with an output.

x=5
y=8

Plug in values:

5 (5 + 2) + 5^(2) + 8

Evaluate:

5 (5 + 2) + 5^(2) + 8 = 5 ( 7 ) + 5^(2) + 8

5 (7) + 25 + 8

35 + 25 + 8

=68

Your final answer is 68.

Faith xoxo

7 0

3 years ago

What is the solution to the system of equations below?

Anon25 [30]

Answer:

The correct one is A

Step-by-step explanation:

2x-y=10

y=1/2 × x+5

Now you substitute the value of y into the first equation.

2x - (1/2 × x+5) = 10

Solving this equation for x you get that x=6

Now substitute the value of x any of these two equations, doesn't matter. Let's say we do with the first one.

2×6-y=10

12-y=10

-y=10-12

-y= -2

y=2

And so you've got the first one which is, (x,y)=(6,2)

4 0

3 years ago

Read 2 more answers

Item 16 Solve the equation. −4/9f=−3

Tasya [4]

F=27/4 equation is solved

8 0

4 years ago

Read 2 more answers

Chloe drives from her house to her grandma's house 64 miles away in an hour and 35

lapo4ka [179]

Answer: B) 40 miles per hour

Step-by-step explanation:

Each twelve minutes is 1/5 hr = 0.2 hr

Total time is therefore 1 hr+ 0.2hr = 1.2hr

Vavge = 48 miles / 1.2 hr = 40 miles/hr

4 0

3 years ago