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3 years ago

Math lab work. For tomorrow!

Mathematics

1 answer:

zzz [600]3 years ago

3 0

Rate as BRAINLIEST, if any doubt ask.

7.) -2

8.) 2

9.) -21

10.) 28

11.) -6

12.) 27

13.) -22

14.)-23

15.)-28

16.) 13

17.) 28

18.) 25

19.) >

20.) <

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Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if

Nezavi [6.7K]

Answer:

Dien - 15 seconds, Jane - 10 seconds

Step-by-step explanation:

Together:

2/3 of pizza ⇒ 4 seconds
Full pizza ⇒ 4 ÷ 2/3 = 6 seconds

Dien needs x seconds to eat pizza

Jane needs x - 5 seconds to eat pizza

In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza

1/x + 1/(x - 5) = 1/6
x(x - 5) = 6(x + x - 5)
x² - 5x - 12x + 30 = 0
x² - 17x + 30 = 0
(x - 15)(x - 2) = 0
x = 15 (x = 2 is discounted as not realistic)

Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds

5 0

3 years ago

The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?

Ivan

The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.

For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%

4 0

3 years ago

Read 2 more answers

A community had a population of 12,000 in 1985, which is increased to 20,000 in 2010. The saturation population is 80,000. Estim

ivann1987 [24]

Answer:

The right answer is :

(a) 23,200

(b) 24,514

(c) 22,926

Step-by-step explanation:

According to the question,

$P_1 = 12000$

$P_2 = 20000$

$P_{sat}=80000$

(a)

We know that the arithmetic growth formula will be:

⇒ $P=Pi+K\times t$ ...(1)

here,

⇒ $K=\frac{P_2-P_1}{\Delta t}$

$=\frac{20000-12000}{25}$

$=\frac{80000}{25}$

$=320$

On putting the values in equation (1), we get

⇒ $P_{2020}=20000+320\times 10$

$=23,200$

(b)

The geometric growth formula will be:

⇒ $P=ln(Pi)+K\times t$

here,

⇒ $K=\frac{lnP_2-lnP_1}{\Delta t}$

$=\frac{ln(20000)-ln(12000)}{25}$

By putting the values of general log, we get

hence,

⇒ $P_f=ln(20000)+0.0204\times 10$

$=10.107$

$P_{2020}=e^{10.107}$

$=24,514$

(c)

⇒ $P_f=P_{sat}-(P_{sat}-P_i)e^{-K\times t}$

or,

⇒ $K=-\frac{1}{\Delta t}ln(\frac{P_{sat}-P_2}{P_{sat}-P_1} )$

from here, we get

$=0.005$

hence,

⇒ $P_{2020}=80000-(80000-20000)e^{-0.005\times 10}$

$=80000-(60000)e^{-0.005\times 10}$

$=22,926$

5 0

3 years ago

What does 43,000 equal in decimal form

solong [7]

It will be 43,000.00

Hope it helps! :D

3 0

3 years ago

Which fraction can be replaced with 1/2 when estimating with fractions

White raven [17]

Answer: 7/16

Step-by-step explanation:

i got it right

5 0

3 years ago