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Anit [1.1K]
3 years ago
15

Dan bought 6 boxes

Mathematics
2 answers:
anygoal [31]3 years ago
8 0
Answer:
6.95
41.70/6 gets you 6.95
Bad White [126]3 years ago
7 0

Answer:

6.95

Step-by-step explanation:

$41.70 / 6  = $6.95 for each box

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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0
3 years ago
Read 2 more answers
Josh has 4 times as many pears as leya, who has one half as many pears as amy. If josh has 32 pears how many does amy have?
arlik [135]
<h3>The number of pears Amy has is 16.</h3>

Step-by-step explanation:

Let J represent the number of pears Josh has.

Let L represent the number of pears Leya has.

Let A represent the number of pears Amy has.

From the question given above,

Josh (J) = 4 × Leya (L)

J = 4L ....... (1)

Leya (L) = ½ × Amy (A)

L = ½A ........ (2)

Next, we shall determine the number of pears Leya has. This can be obtained as follow:

From equation 1

J = 4L

But

Josh (J) = 32 pears

Thus,

32 = 4L

Divide both side by 4

L = 32 / 4

<h3>Leya (L) = 8 pears </h3>

Finally, we shall determine the number pears Amy has. This can be obtained as follow:

From equation 2

L = ½A

But

Leya (L) = 8 pears

Thus,

8 = ½A

Cross multiply

A = 8 × 2

<h3>Amy (A) = 16 pears </h3>

Therefore, Amy has 16 pears.

Learn more: brainly.com/question/20971657

6 0
2 years ago
Read 2 more answers
Find g(1) if g(x) = x 2 + 1.
Genrish500 [490]

Answer:

g(x) = x^2 + 1

if x=1

g(1) = 1^2 + 1

g(1) = 1 + 1

g(1) = 2

8 0
2 years ago
Read 2 more answers
Ashot borrowed $225, and paid $108 as an interest of eight years. What was the annual interest rate?
Helga [31]

Answer:

6%

Step-by-step explanation:

I asked this same exact question, no one got the right answer, so I just guessed, and what do you know, I got the answer right! So here you go.

7 0
3 years ago
Read 2 more answers
BRAINLIEST TO FIRST CORRECT ANSWER!!
sineoko [7]

Answer:

57\:\mathrm{km}

Step-by-step explanation:

Since the question implies his truck travels at a constant distance per gallon, we can set up the following proportion to find how much father his truck can go.

Let x represent how much farther his truck can go, in kilometers:

\frac{2}{76}=\frac{1.5}{x}

Cross-multiplying, we get:

2x=76\cdot 1.5,\\x=\frac{76\cdot 1.5}{2}=\boxed{57\:\mathrm{km}}

6 0
2 years ago
Read 2 more answers
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