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kozerog [31]
2 years ago
5

On Monday at work, David produces $w$ widgets per hour, and works for $t$ hours. Exhausted by this work, on Tuesday, he decides

to work for $2$ fewer hours, but manages to produce $4$ additional widgets per hour. If $w = 2t$, how many more widgets did David produce on Monday than on Tuesday?
Mathematics
1 answer:
nasty-shy [4]2 years ago
5 0

Answer:

8 more widgets

Step-by-step explanation:

<u>Monday:</u>

t hours work AT w widgets per hour

So,

total number of widgets = wt

<u>Tuesday:</u>

2 fewer hours than monday, so

hours worked = t - 2

Per hour widget production is 4 more than Monday so:

per hour widget = w + 4

Total number of widgets = (t-2)(w+4)=wt+4t-2w-8

Monday he produced more, so amount more is:

wt-[wt+4t-2w-8]\\wt-wt-4t+2w+8\\-4t+2w+8

Given, w = 2t, we have:

-4t+2w+8\\-4t+2(2t)+8\\-4t+4t+8\\=8

Thus,

8 more widgets were produced

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olga2289 [7]

Answer:

x = friends that paid discount price = 8

y = friends that paid regular price = 4

Step-by-step explanation:

Let

x = friends that paid discount price

y = friends that paid regular price

x + y = 12 (1)

6x + 8y = 80 (2)

From (1)

x = 12 - y

Substitute x = 12 - y into (2)

6x + 8y = 80 (2)

6(12 - y) + 8y = 80

72 - 6y + 8y = 80

- 6y + 8y = 80 - 72

2y = 8

y = 8/2

y = 4

Substitute y = 4 into (1)

x + y = 12 (1)

x + 4 = 12

x = 12 - 4

x = 8

x = friends that paid discount price = 8

y = friends that paid regular price = 4

4 0
2 years ago
Complete the equation describing how x and y are related.<br> Please need help!!!
yKpoI14uk [10]

Answer:

3

Step-by-step explanation:

The equation being used to express the answer is called slope-intercept form.

y = m x + b

m is the slope, b is the y-intercept (where x = 0)

The formula to find slope (m) using two points is called point slope form.

m = (y1 - y2)/(x1 - x2)

Pick two coordinates and plug them in.

m = (1 - 4)/(0 - 1)

m = (-3/-1)

m = 3

5 0
3 years ago
Read 2 more answers
(01.07)
AURORKA [14]
*The answer is A. 24.*

All you have to do is back solve. In other words, just plug your answer choices into the equation.
3 0
3 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
shepuryov [24]

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

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

Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

5 0
2 years ago
Which values of x are point(s) of discontinuity for this function? Function x = –4 x = –2 x = 0 x = 2 x = 4
Nadya [2.5K]

Answer:

the answer is x=0 and x=2

Step-by-step explanation:

6 0
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