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djyliett [7]
3 years ago
7

Sam has nine yellow pencils in his desk 3/4 of his pencils are yellow how many pencils does Sam have in his desk

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

12

Step-by-step explanation:

(# of pencils)x(3/4)=9

(# of pencils)x(0.75)=9

(# of pencils)=9/(0.75)=12

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Please write it step by step: 7+6x-4=3x-9+7x
bazaltina [42]

Answer:

x = 3

Step-by-step explanation:

7 + 6x - 4 = 3x - 9 + 7x

6x -3x - 7x = -9 - 7 + 4

-4x = -12

-4x/-4 = -12/-4

x = 3

4 0
3 years ago
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MARKING AS BRAINLIEST!! (Find area of each )
masha68 [24]

Answer:

38 km

Step-by-step explanation:

1. The formula to find the area of a trapezoid is \frac{a+b}{2}h, where a and b are the bases and h is the height.

2. To find the area, all we have to do is plug in these values and simplify!

3. (Solving)

  • \frac{a+b}{2}h
  • \frac{4.3+10.9}{2}*5
  • \frac{15.2}{2}*5
  • \frac{76}{2}
  • 38

Therefore, the area is 38 km.

6 0
2 years ago
Some students are selling candy bars to raise money to purchase new gym equipment. The more candy bars they sell, the more money
Katarina [22]

Answer:

The number of candy bars they sell is the independent variable

6 0
2 years ago
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Help please and thank you
bogdanovich [222]
31.5
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3 years ago
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In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​a) Find the exponential g
Angelina_Jolie [31]

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

4 0
2 years ago
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