All categories

3 years ago

Billy uses 7 centimeters of tape for every present he wraps. How much tape will billy need in all if he has to wrap 6 presents?

Mathematics

1 answer:

Sedaia [141]3 years ago

8 0

He will need to use 42 centimeters.

You might be interested in

If ab=8 and a^2+b^2=16 then what is the valué of (a+b)^2 PLSS HELP NOW

Keith_Richards [23]

I think that i got it but at the same time not sure but the value of a+b should be 14+20

6 0

3 years ago

How do I do number 7 please help me with

riadik2000 [5.3K]

There is a Khana Academy video that explains everything you have to do and it’s the same page that you’re on

3 0

3 years ago

Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

5 0

2 years ago

Read 2 more answers

Rachel and Sierra are selling boxes of fruit as a fundraiser. Rachel has sold 9/10 boxes of fruit and Sierra has sold 2 has sold

Mandarinka [93]

Rachel sold more because 9/10 is equal to 0.90 and 5/8 is equal to 0.625.

8 0

3 years ago

Ram, Shyam and Mohan purchased biscuits of different brands P, Q and R.

Alexxandr [17]

Answer:

Ram needs to pay $93

Shyam needs to pay $116

Mohan needs to pay $99

5 0

2 years ago