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3 years ago

Aikira needs 475 points to receive a black belt rating in class. She has already earned

Mathematics

1 answer:

mash [69]3 years ago

7 0

Answer:

Step-by-step explanation:

since the number of point she need is 475 and the number of points she has already is 319

therefore the number of point she now needs to gain in order to get black belt rating is 475-319=156

if 1 ticket = 3points

then 156/3=52

therefore the number of tickets she needs is 52

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A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in

Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

$s(t) =16t^2+32t$

We can replace there s = 215 ft to get

$215=16t^2+32t$

Solving for the time t.

From the previous equation we can move all terms in one side to get

$16t^2+32t-215=0$

At this point we can solve for t using quadratic formula.

$t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

where a, b and c are the coefficients of the quadratic equation

$at^2+bt+c=0$

So we get

$a=16\\b=32\\c=-215$

Replacing on the quadratic formula we get

$t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}$

Using a calculator we get

$t=-4.8 , t = 2.8$

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0

3 years ago

There are 475 students and teachers going on a field trip a school bus holds 78 people how many buses are needed for the trip

kap26 [50]

7 is the answer, you have to divide 475 by 78 and you get 6.08974358974359 but you round it up to 7 to make sure you have enough buses

7 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a t

Verdich [7]

Answer:

The Large Box Weighs 18 kg, and the small box weighs 6.5 kg

Step-by-step explanation:

Let a= the weight in kg of a large box

Let b= the weight in kg of a small box

Multiply both sides of (1) by 4 and subtract (2) from (1)

1. 20a+8b=412

2. -3a-8b= -106

17a=306

a=18

and

5*8+2b=103

90+2b=103

2b=13

b=6.5

7 0

3 years ago

I really need help fast. simplify this equation please.

lianna [129]

Answer:

−44.288−31.6

−3.1(6−1.2)

−75.888

−3.1(6−1.2)

−75.888

(−3.1)(4.8)

−75.888

−14.88

=5.1

5.1 is the answer

Step-by-step explanation:

3 0

3 years ago

What is the slope of each line

timama [110]

Answer:2 or 2/1

Step-by-step explanation:

Start a 0

Count up until the line perfectly hits in the center of the lines

6 0

3 years ago