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hoa [83]
3 years ago
6

WHO EVER ANSWERS THIS WILL GET BRANLIEST

Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

b.40

Step-by-step explanation:

\frac{6}{30}  =  \frac{x}{200}

30 * x = 6 * 200

30x = 1200

x =  \frac{1200}{30}  = 40

40 people are expected

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Find the value of x in the diagram and explain your reasoning
Paul [167]

Answer:

C 4.5 the two triangles in the diagram are similar.

Step-by-step explanation:

Since, the two triangles in the diagram are similar.

Therefore,

4 \times x = 3 \times 6 \\  \\ x =  \frac{18}{4}  \\  \\ x = 4.5

7 0
3 years ago
An aquarium is leaking water at the rate of three quarts in 4 days.How many quarts are leaked in 1 week?How many days does it ta
Simora [160]

Answer:

\frac{21}{4} quarts

12 days

Step-by-step explanation:

Given that:

Amount of water leaked in 4 days = 3 quarts

To find:

Number of quarts leaked in 1 week?

Number of days taken for the leakage of 9 quarts of water?

Solution:

We can simply use unitary method or the ratio to find the answers of the questions asked in the statement.

As per question statement:

Amount of water leaked in 4 days = 3 quarts

Dividing by 4 on both sides:

Amount of water leaked in 1 day = \frac{3}{4} quarts

Multiplying by 7 on both sides:

Amount of water leaked in 7 days = \frac{3}{4}\times 7 = \frac{21}{4} quarts

Number of days taken for the leakage of 3 quarts = 4 days

Multiplying by 3 on both sides:

Number of days taken for the leakage of 3 \times 3 = 9 quarts = 4 \times 3 = <em>12 days</em>

6 0
3 years ago
A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

8 0
3 years ago
Can someone plssss helpp me with this!!! and show the work!
hichkok12 [17]

Answer:

1/2

Step-by-step explanation:

8(1/2)^4

= 8 * 1 / 2^4

= 8/(2*2*2*2)

= 8/16

= (8*1) / (8*2)

= 1/2

5 0
3 years ago
Your new phew is standing on his deck which is 4 feet off the ground. He tosses his toy up into the air. The equation h(t) = -2t
Tpy6a [65]

Answer:

The height of the toy is 9 feet after 1 second

Step-by-step explanation:

we have

h(t)=-2t^2+7t+4

where

h(t) is the toys height from the ground

t is the time in seconds

so

For t=1 sec

substitute the value of t in the quadratic equation and solve for h(t)

h(1)=-2(1)^2+7(1)+4

h(1)=9\ ft

3 0
3 years ago
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