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vodka [1.7K]
3 years ago
15

If a machine that prints designs on T-shirts prints 500 shirts in 3 hours, how many hours will it take to print designs on 1,800

shirts?
A.
6

B.
9.8

C.
10.8

D.
12
Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

The answer is D. 12

Step-by-step explanation:

In 3 hours, it prints 500 shirts. That means 6 hours it will print 1,000 shirts, in 9 hours it will print 1,500 shirts, and in 12 hours, it will print 2,000 shirts. So in 12 hours, it will print 1,800 shirts.

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Please help with math question
ELEN [110]

Answer:

y = 4x² -3x +5

Step-by-step explanation:

It can be helpful to plot the points on a graph. The curve through them opens upward, so you know <em>the first two answer choices are incorrect</em>.

<em>Looking at the location of the vertex</em>

The points (-1, 12) and (2, 15) have nearly the same y-value, so the vertex of the parabola will be nearly halfway between those points, at about ...

... x = (-1 +2)/2 = 1/2

Because the point at (2, 15) has a slightly higher y-value, you know it is farther from the vertex, so the vertex will be at an x-value that is less than 1/2.

For quadratic ...

... y = ax² +bx +c

the vertex is found at

... x = -b/(2a)

For the 3rd choice, this is x = -(-4)/(2·3) = 2/3. This is higher than 1/2, so we can eliminate this choice, too.

Only the 4th choice remains. (It passes the vertex location test: x = -(-3)/(2·4) = 3/8 < 1/2.)

_____

There are some other ways to solve this problem, too.

  1. try the given points in the given equations. The +5 as a constant of all of them tell you that all will work for x=0. Both of choices 3 and 4 work for x=-1, so we have to try x=2. Choice 3: 3·2² -4·2 +5 = 9, not 15. Choice 4: 4·2² -3·2 +5 = 15. So Choice 4 is the answer.
  2. write equations for a, b and solve them. a(-1)² +b(-1) +5=12; a(2)² +b(2)+5=15. or a-b=7, 2a+b=5 in standard form. Adding these gives 3a=12, so a=4 and Choice 4 is the answer.
  3. use a graphing calculator to write the quadratic regression formula from the three points. This result is shown in the attachment. The (a, b, c) = (4, -3, 5) correspond to Choice 4.

7 0
2 years ago
PLZ SOLVE, NEED DONE BY 3:15!!!!!!!!!
Oliga [24]

Answer:

Train A - 80

Train B - 85

Train B is faster.

Step-by-step explanation:

Hope this helps! Pls give brainliest!

3 0
2 years ago
The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York
beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and  let the distance covered by KY is y

Total distance covered is  x+y=720   ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is \text{Time}=\frac{\text{Distance}}{\text{Speed}}

t+2=\frac{x}{80} .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is \text{Time}=\frac{\text{Distance}}{\text{Speed}}

t=\frac{y}{60} .......[3]

Put the value of t from [3] into [2]

\frac{x}{80}- \frac{y}{60}=2  ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], y=720-x

\frac{x}{80}- \frac{y}{60}=2

\frac{x}{80}- \frac{720-x}{60}=2

\frac{60x-80(720-x)}{80\times60}=2

60x-57600+80x=9600

140x-57600=9600

140x=57600+9600=67200

x=\frac{67200}{140}=480

Put x=480 in [1]

x+y=720  

480+y=720  

y=240  

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

t=\frac{y}{60}

t=\frac{240}{60}

t=4

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.




7 0
3 years ago
Divide the following. 3+7i/5i
marin [14]

Answer:

4.4.

Step-by-step explanation:

3+7i/5i = 4.4 .

6 0
3 years ago
triangle abc is reflected over the line y=x . triangle abc has points a (10,2) , b (9,5) and c (6,4) . what is the c' coordinate
Ghella [55]
The coordinates of C are 4,6 because thats the rule for y=x
7 0
3 years ago
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