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Step2247 [10]
4 years ago
6

On the last three evenings, Christine received a total of 77 phone calls at the call center. The second evening, she received 2

times as many calls as the third evening. The first evening, she received 5 more calls than the third evening. How many phone calls did she receive each evening?
Mathematics
1 answer:
GarryVolchara [31]4 years ago
7 0

Answer:

1st evening: 23

2nd evening: 36

3rd evening: 18

Step-by-step explanation:

Total: 77

2nd: 2 * 3rd evening

1st: 3rd evening + 5

Let x represent the 3rd evening.

77=(2*x)+(x+5)+x

x=18

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Two chemical plants are releasing waste into a holding tank. Plant 1 releases waste twice as fast as plant 2. Together they fill
tatiyna

Answer:

6 hours.

Step-by-step explanation:

Let t represent time taken by plant 1 in hours to release the waste.

Part of waste released by plant 1 in one hour would be \frac{1}{t}.  

We have been given that two chemical plant 1 releases waste twice as fast as plant 2, so time taken by plant 2 to release the waste would be 2t.

Part of waste released by plant 2 in one hour would be \frac{1}{2t}.  

We are also told that together they fill the tank in 4 hours. So part of tank filled by both plants working together in one hour would be \frac{1}{4}.

\frac{1}{t}+\frac{1}{2t}=\frac{1}{4}

\frac{1}{t}\cdot 4t+\frac{1}{2t}\cdot 4t=\frac{1}{4}\cdot 4t

4+2=t

t=6

Therefore, it will take 6 hours for the faster plant to fill the tank working alone.

4 0
3 years ago
Help please worth 30
Rasek [7]

Answer:

A) AA postulate; 18

Step-by-step explanation:

Due to the similar triangles, we can set up the proportion and solve for x

8/(8+4) = 12/x

8/12 = 12/x

8*x = 12*12 ... cross multiply

8x = 144

x = 144/8

x = 18

7 0
3 years ago
AGES OF CHILDREN IN AN ART CLASS ARE : 12, 9, 8, 13, 9, 10,
Svetllana [295]

Answer:

Mean = 10.181818181818181818181818

Median = 10

Mode = 8

Range = 13 - 8 = 5

Step-by-step explanation:

MEAN 8+8+8+9+9+10+10+12+12+13+13 = 112/11=10.1818 forever.

MEDIAN 8 8 8 9 9 10 10 12 12 13 13

count five in both directions

MODE most numbers in a number scheme

RANGE highest number minus lowest number.

6 0
3 years ago
Solve and check <br> 2/3y =6 <br> A.1/9 <br> B.1/4<br> C.9<br> D.4
kotegsom [21]
\frac{2}{3}y=6\ \ \ \ |divide\ both\ sides\ by\ \frac{2}{3}\ /multiply\ by\ \frac{3}{2}/\\\\y=6\cdot\frac{3}{2}\\\\y=\frac{6}{1}\cdot\frac{3}{2}\\\\y=\frac{\not6^3\cdot3}{1\cdot\not2_1}\\\\y=\frac{3\cdot3}{1\cdot1}\\\\y=\frac{9}{1}\\\\\boxed{y=9}\leftarrow answer\ \boxed{C}

check:\\\\/put\ the\ value\ of\ y=9\ to\ the\ equation\ \frac{2}{3}y=6/\\\\\frac{2}{3}\cdot9=6\\\\\frac{2}{3}\cdot\frac{9}{1}=6\\\\\frac{2}{\not3_1}\cdot\frac{\not9^3}{1}=6\\\\\frac{2}{1}\cdot\frac{3}{1}=6\\\\2\cdot3=6\\\\\boxed{6=6}\leftarrow TRUE


8 0
4 years ago
Read 2 more answers
What is the area of the composition figure?
Anuta_ua [19.1K]

Answer:

NWM

Step-by-step explanation:

4 0
4 years ago
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