MATHEMATICS MIDDLE SCHOOL

Karina rows a boat downstream for 66 miles. The return trip upstream took 16 hours longer. If the current flows at 4 mph, how fast does Karina row in still water?

Answers

Answer 1
Answer:

Answer:

7 mph

Step-by-step explanation:

Let x be the speed in still water hence

Time to move downstream will be \frac {66}{x+4}

Time to move upstream will be \frac {66}{x-4}

Difference will be

\frac {66}{x-4}-\frac {66}{x+4}=16

66(x+4)-66(x-4)= 16(x^(2)-16)

66x+264-66x+264=16x^(2)-256

16x^(2)-256-528=0

x^(2)-16-33=0

x^(2)=49

x=7

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I need help please .

Can someone help please? i'm desperate1. A father and his young toddler are walking along the sidewalk. For every 3 steps
the father takes, the son takes 5 steps just to keep up. What is the ratio of
the number of steps the father takes to the number of steps the son takes? Add
labels to the columns of the table and place the ratio into the first row of
data. Add equivalent ratios to build a ratio table.

2. What can you say about the values of the ratios in the table?

(p.s the image attached is for question 1)

Answers

Answer:

3:5 is the ratio.

Step-by-step explanation:

The ratio of the number of steps of father to number of steps of son is 3:5.

The table forms as follows:

Steps by father           Steps by son

       3                                 5

       6                                10

       9                                15

       12                               20

       15                               25

a) The ratio of the number of steps of father to number of steps of son will be 3:5.

b) The table forms as follows:

   father                           son

      3                                 5

      6                                10

      9                                15

      12                               20

      15                               25

a) We can continue finding equivalent ratios by multiplying both sides of the ratio by different numbers, such as 3, 4, or any other value.

Multiply the first term by 2 to get 3 * 2 = 6. Multiply the second term by 2 to get 5 * 2 = 10.

- The equivalent ratio is 6:10.

In the ratio table, we can observe that the values of the ratios are always in the form of a fraction or as a simplified fraction.

=The ratios we have found so far, such as

3:5 and 6:10, = 3/5 and 3/5 respectively.

Thus the ratio of the number of steps of father to number of steps of son is 3:5.

b) The table forms as follows:

   father                           son

      3                                 5

      6                                10

      9                                15

      12                               20

      15                               25

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ3

7 times 10 times 4 times 1 plus (2 times 1/10) plus (5 times 1/100)

Answers

7*10*4*1+(2*1/10)+(5*1/100)=70*4*1+(2*1/10)+(5*1/100)=280*1+(2*1/10)+(5*1/100)=280+(2*1/10)+(5*1/100)=280+(2/10)+(5*1/100)=280+(1/5)+(5*1/100)=1401/5+(5*1/100)=1401/5+(5/100)=1401/5+(1/20)=1121/4=280 and 1/4
7*10*4*4+2*1 (1)/(10) + 5* (1)/(10)
= (1121)/(4) Decimal: 280.25

I have to substitute 4 to x+10=4x-2

Answers

Answer:


Step-by-step explanation:

x+10=4x-2

x = 4 sooo....

4+10 = 4*4 - 2

14 = 14

infinitely many solutions

Answer:

14 = 14

or

Infinite solutions

Step-by-step explanation:

First, you substitute x with 4.

So:   4 + 10 = 4 times 4 - 2

         14      = 16 - 2

         14      = 14


14 = 14 or infinite solutions


Hope this helps!    :)

Rewrite each problem as a multiplication question. Model your answer.2/5 divided by 5
--------------------------

3/4 divided by 2

Answers

The multiplication sentence for 2/5 divided by 5 is 2/5*1/5.The multiplication sentence for 3/4 divided by 2 is 3/4*1/2.The model is in the photo below.

Round 275,608 to the nearest thousand

Answers

The answer is 276,000.

Hope that helps :]
275,608 rounded to the nearest thousand is 276,000

8x=352 Do I divide the 8 into 352?

Answers

Yes.

8x = 532 \n\n (8x)/(8)=(532)/(8) \n\n \boxed{x=66.5}

Answer:66.5

Step-by-step explanation:
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