V + Iwh

Algebra help needed

lesantik [10]

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

$0=-8(2 t-4)(t+1)$

$t=-1,2$

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

$h=-8(2 t-4)(t+1)$ ,

where h is the height in feet and t is time in seconds.

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground, set the equation equal to 0 and use the Zero Product Property to solve for $t$.

$h=-8(2 t-4)(t+1)$

$\Rightarrow 0=-8(2 t-4)(t+1)$

Solve the equation using the Zero Product Property.

$2t-4=0\Rightarrow t=\dfrac{4}{2}=2$

$t+1=0\Rightarrow t=-1$

So, $t=-1,2$

7 0

3 years ago

For a production of sweeney todd in las vegas, orchestra seats cost $42 and mezzanine seats cost $25. if a group of 14 people sh

Lesechka [4]

Answer: 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.

Set up a system of equations:

$\left \{ {{42o+25m=486} \atop {o+m=14}} \right.$

You can apply the Substittution Method to solve the system of equations:

1. Solve for "o" from the second equation:

$o=14-m$

2. Substitute it into the first equation and solve for "m":

$42(14-m)+25m=486\\\\588-42m+25m=486\\\\-17m=-102\\\\m=\frac{-102}{-17}\\\\m=6$

3. Substitute the value of "m" into $o=14-m$ and evaluate, in order to find the value of "o". This is:

$o=14-6\\\\o=8$

4 0

3 years ago

2×7×7-3×3×3×2+3×2×2-6×6<br>I need an answer

Vadim26 [7]

Answer:

98-54+12-36

110-54-36

56-36

20<em>A</em><em>n</em><em>s</em>

3 0

2 years ago

Stardust the unicorn, covered a distance of 50 miles on his first trip to the forest. On a later trip he travelled 300 miles whi

timama [110]

For this case, the first thing we must take into account is the following definition:
d = v * t
Where,
d: distance
v: speed
t: time
Substituting values we have:
Trip 1:
50 = v * t1
We cleared t1:
t2 = (50) * (1 / v)
Trip 2:
300 = (3 * v) * t2
We cleared t2:
t2 = (300/3) * (1 / v)
t2 = (100) * (1 / v)
Rewriting:
t2 = 2 (50) * (1 / v)
t2 = 2 * t1
Answer:
His new time compared with the old time was:
Twice the old time.
t2 = 2 * t1.

4 0

3 years ago

A sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for ever

IRISSAK [1]

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

<h3>How to calculate the number of chocolate bars</h3>

Since there are 5 different flavors,

let

x = orange flavored bars,
y = coconut flavored bars,
z = coffee flavored bars,
a = strawberry flavored bars and
b = honeycomb flavored bars and
X = total number of bars

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

<h3>a. What is the total number of chocolate bars if there are 280 orange flavored bars?</h3>

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

<h3>b. What is the total number of chocolate bars if there are 960 coconut flavored bars?</h3>

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

<h3>c. What is the total number of chocolate bars if there are 79 coffee flavored bars?</h3>

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

Learn more about ratio here:

brainly.com/question/1127546

#SPJ1

7 0

2 years ago