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Alenkasestr [34]
2 years ago
15

Ronalds furniture house is currently making 50 sofas in a day. How many sofas will be produced if prudction is to be increased b

y 150%
Mathematics
2 answers:
vazorg [7]2 years ago
3 0

Answer:

125

Step-by-step explanation:

50 x 150% = 75

75 + 50 = 125

Jobisdone [24]2 years ago
3 0

Answer:

125

Step-by-step explanation:

50 × 150% = 50 × 1.5 = 75

75 + 50 = 125

125 sofas is the answer

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Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0
2 years ago
Help me out please with domain and range and the last question please (algebra 2) no links please I will report
baherus [9]

Answer:

domain = ( -infinity, infinity) = all real numbers

range = ( -1, infinity)

3 0
2 years ago
Solve the equation for x.
valentina_108 [34]

Answer:

Solve for  

x

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x

=

5 /4

Decimal Form:

x

=

1.25

Mixed Number Form:

x

=

1  1/4

Step-by-step explanation:

THE ANSWER IS C

4 0
2 years ago
Area as a sum (-2+x)5
Nezavi [6.7K]

Answer:

21

Step-by-step explanation:

lol

5 0
2 years ago
Which are examples of unit rates?
morpeh [17]
Answers: Choice A and Choice C

Saying "$45 per ticket" is the same as saying "$45 for every single ticket" or "one ticket costs $45"

Similarly, "30 seats for every row" is equivalent to "each row has 30 seats"

-------------

choices B and D aren't unit rates because the second value mentioned isn't 1. You would have to divide to get to a unit rate. 
choice B: 5/3 = 1.67 so there are roughly 1.67 shows every week
choice D: 100/5 = 20 meaning its $20 per ticket
8 0
3 years ago
Read 2 more answers
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