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Alenkinab [10]
3 years ago
15

A ferry traveled \dfrac16 6 1 ​ start fraction, 1, divided by, 6, end fraction of the distance between two ports in \dfrac37 7 3

​ start fraction, 3, divided by, 7, end fraction hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour?
Mathematics
2 answers:
Ugo [173]3 years ago
5 0

Answer:

<em>The ferry can travel \frac{7}{18} of the distance between the two ports in one hour.</em>

Step-by-step explanation:

A ferry traveled \frac{1}{6} of the distance between two ports in \frac{3}{7} hour.

Suppose, the ferry traveled x of the distance between the two ports in one hour.

So, the <u>equation according to the ratio of "distance" to "time"</u> will be.......

\frac{\frac{1}{6}}{\frac{3}{7}} =\frac{x}{1} \\ \\ x=\frac{1}{6}\times \frac{7}{3}= \frac{7}{18}

Thus, the ferry can travel \frac{7}{18} of the distance between the two ports in one hour.

3241004551 [841]3 years ago
5 0

Answer:

7/18

Step-by-step explanation:

if it is in khanacademy it's 7/18

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Solving a system of equation <br> x+5y=15 <br> -3x+2y=6
Colt1911 [192]

Answer:

(0,3)

y=3

x=0

Step-by-step explanation:

x+5y=15

-3x+2y=6

solve the equation

x=15-5y

-3x+2y=6

substitute the value of x into an equation

-3(15-5y)+2y=6

distribute

-45-15y+2y=6

add 15 to 2

-45-17y=6

add 45 from both sides

17y=51

divide both sides by 17

y=3

substitute the value of y into an equation

x=15-5•3

multiply 5 to 3

x=15-15

subtract

x=0

(0,3)

6 0
3 years ago
Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure.
Natali5045456 [20]

Answer:

Step-by-step explanation:

The given equation is expressed as

x1 + 2x2 = -24- - - - - - - - --1

x1 + 7x2 = -11- - - - - - - --2

We would eliminate x1 by subtracting equation 2 from equation 1. It becomes

- 5x2 = - 13

Dividing both sides of the equation by - 5, it becomes

- 5x2/- 5 = - 13/- 5

x2 = 13/5

Substituting x2 = 13/5 into equation 2, it becomes

x1 + 7 × 13/5 = -11

x1 + 91/5 = - 11

x1 = - 11 - 91/5

x1 = - 146/5

4 0
3 years ago
The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Sindrei [870]

Answer:

The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220,  S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

7 0
3 years ago
5.6=I+4.09 what is I? I need help I just need answers in the 10 minutes please helpp​
serious [3.7K]

Answer:

the answer should be I= 1.51

3 0
3 years ago
Read 2 more answers
A jar contains some bacteria. Every day the number of bacteria
svp [43]

Answer:

Day 2

Step-by-step explanation:

Every 20 days, one jar is full.

To find when it was 1/8 full, we multiply the 20 days by 1/8.

20 x 1/8 =  2

Day 2

3 0
2 years ago
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