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m_a_m_a
10 days ago
10

Karina and perry are cleaning up litter in the park for community service hours. Karina and perry both claim they have covered t

he greatest area. Who is correct? Use mathematical reasoning

Mathematics
1 answer:
Zina [12.3K]10 days ago
7 0
Karina is right. For clarity, the area Karina cleaned can be calculated as follows: 1/2*(6-0)(9-2) = 1/2*6*7 = 21. The area cleaned by Petty is: 2*9 = 18. Clearly, Karina cleaned a larger area than Petty, affirming her correctness.
You might be interested in
Select three ratios that are equivalent to 8:58:58, colon, 5. Choose 3 answers: Choose 3 answers: (Choice A) A 16:1016:1016, col
Leona [12618]

Answer:

(Choice A) A 16:10

(Choice C) C 48:30

(Choice D) D 32:20

Step-by-step explanation:

The given ratio is

8:5

Select three ratios that correspond to 8:5

Check all options

(Choice A) A 16:10

= 16 / 10

Reducing by 2 yields

= 8 / 5

= 8:5

(Choice B) B 50:80

= 50 / 80

Reducing by 10 yields

= 5 / 8

= 5:8

(Choice C) C 48:30

= 48 / 30

Reducing by 6 yields

= 8 / 5

= 8:5

(Choice D) D 32:20

= 32 / 20

Reducing by 4 yields

= 8 / 5

= 8:5

(Choice E) E 64:35

= 64 / 35

The ratios equivalent to 8:5 are

(Choice A) A 16:10

(Choice C) C 48:30

(Choice D) D 32:20

4 0
1 month ago
Show that A(t)=300−250e0.2−0.02t satisfies the differential equation ⅆAⅆt=6−0.02A with initial condition A(10)=50 .
Leona [12618]

Detailed derivation:

dA/dt = 6 - 0.02A

dA/dt = -0.02 (A - 300)

Rearranging terms.

dA / (A - 300) = -0.02 dt

Integrate both sides.

ln(A - 300) = -0.02t + C

Isolate A.

A - 300 = Ce^(-0.02t)

A = 300 + Ce^(-0.02t)

Apply initial condition to determine C.

50 = 300 + Ce^(-0.02 × 10)

50 = 300 + Ce^(-0.2)

-250 = Ce^(-0.2)

C = -250e^(0.2)

A = 300 - 250e^(0.2)e^(-0.02t)

A = 300 - 250e^(0.2 - 0.02t)

8 0
1 month ago
An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest
zzz [12365]
Each minute, you need to multiply the mass by 27.7% or 0.277

after 1 minute, it's one multiplication
after 2 minutes, it’s two multiplications
3, three times
and so forth
consequently, after 13 minutes, you'd multiply 13 times or 0.277^13

thus what is 970g * 0.277^13 =?

7 0
1 month ago
Read 2 more answers
Andros has an oil fired heating system. In a 30-day period he used a full tank of oil at a constant rate per day. At a different
Leona [12618]
To resolve this, we multiply the 30-day timeframe by 7, resulting in a total of 210 days.
3 0
10 days ago
In a school of 2100 students, the ratio of teachers to students is 1:14. Some teachers join the school and the ratio changes to
zzz [12365]

Answer:

50 Educators

Step-by-step explanation:

To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.

6 0
1 month ago
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