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Vladimir [108]
3 years ago
10

Southside is purchasing new materials for the school. The school has $1600 to spend on desks and a vending machine. The desks co

st $15 each
and the vending machine costs $450.
Create an inequality that represents the amount of money Southside can spend if d desks are purchased.
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

15d + 450 \leq 1600

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Hey if someone could please help me with this i waould be very greatful
Molodets [167]

Answer:

40%

Step-by-step explanation:

2/5x100%=40%

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3 years ago
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Someone please help I'm so stuck
Trava [24]
The picture won't load, but I would surely help!
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A rocket is fired with an initial vertical velocity of 40 m/s from a launch pad 45 m high, and its height is given by the formul
N76 [4]

Answer:

1) 125 meters

2) For 9 seconds.

Step-by-step explanation:

The rocket's height is given by the formula -5t^2+40t+45.

Notice that this is a quadratic.

Part 1)

Since this is a quadratic, the highest height the rocket goes will be the vertex of our quadratic. Remember that the vertex of a quadratic in standard form is:

(-\frac{b}{2a}, f(-\frac{b}{2a}))

So, let's identify our coefficients. The standard quadratic form is:

ax^2+bx+c

Therefore, in this case, our a is -5, b is 40, and c is 45.

So, let's find the x-coordinate of our vertex. Substitute 40 for b and -5 for a. This yields:

x=\frac{-(40)}{2(-5)}

Multiply and reduce. So:

x=-40/-10=4

Now, substitute 4 for t to find the height. So:

-5(4)^2+40(4)+45

Evaluate:

=-5(16)+40(4)+45

Multiply and add:

=-80+160+45=125\text{ meters}

Therefore, the highest the rocket goes up is 125 meters.

Part 2)

To find out for how much time the rocket is in the air, we can think about after how many seconds after launch will the rocket land.

If the rocket lands, the height h will be 0. So, we can set our expression equal to 0 and solve for t:

-5t^2+40t+45=0

First, let's divide everything by -5. This yields:

t^2-8t-9=0

We can factor:

(t+1)(t-9)=0

Zero Product Property:

t+1=0\text{ or } t-9=0

Solve for t:

t=-1\text{ or } t=9

In this case, since t is our time in seconds, -1 seconds does not make sense. So, we can remove -1 from our solution set.

Therefore, 9 seconds after launch, the rocket will touch the ground.

Therefore, the rocket was in the air for 9 seconds.

And we're done!

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3 years ago
Helppppp pleaseeee !
igomit [66]

The answer is B.) x2-14x+2y

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3 years ago
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5 x 5 = 10 x 5= 20 x 5 = Answer these 3 problems and then tell how they are<br> related.
viva [34]

Step-by-step explanation:

First we need to find out what they all 3 equal, with multiplication.

5×5=25

10×5=50

20×5=100

In each of these problems, the answer is multiplying itself by 2 in order to get to the next answer. So this is how they are related

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