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Elza [17]
3 years ago
11

The number of kilometers Tony travels in a canoe, d, varies directly with the amount of time spent in the canoe, t. When Tony ca

noes for 2.25 h, he travels 9 km. Which equation shows this direct linear variation?
d = 4t
d = 2t
d = 2.25t
d = 4 + t
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

d= 4t

Step-by-step explanation:

to find distance, the equation is speed multiplied by time and in this question we are given the time and distance so we have to divide 9km by 2.25hrs to find the speed: 9÷2.25= 4 so, the equation would be d=4t which means that to find distance we need to multiply 4 by the time.

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0.1 is 10% of what number?
stiv31 [10]
Let's assign a variable that is the number when multiplied by 10% it is equal to 0.1.

Well let that be x.

Now we want to convert the 10% into a decimal. To convert a percent into a decimal, simply move the % sign two places to the left and make it into a decimal point.

When we say "of" in mathematics what we really mean is to multiply.

0.10 * x = 0.1

That is the equation we need to find the value of x for.

Divide both sides by 0.10

0.10 * x = 0.1

The 0.10 on the left side cancels out.

x = 1

So, the answer to this question is if we multiply 10% by 1 we will get 0.1.
7 0
3 years ago
Read 2 more answers
A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the
Musya8 [376]

The total  number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

                 Seats filled by students are 570 seats

                 Which is 95% of the total number of seats in the theater

Step: 1

                Let, x - Total number of seats available in theater

                Percentage of seats filled, y= 95%

                Seats filled by students = 570

                Formula to calculate total number of seats in theater,

                          95% of seats  = \frac{95}{100}( x)    

                                         570 = 0.95 (x)

                                              x = \frac{570}{0.95}

                                                 = 600

                                              x = 600 seats

Step: 2

            Check for solution,

                            5% of seats  = \frac{5}{100} (600)

                                                  = (0.05 × 600)

                                                  = 30 seats

                    Total no. of seats = 5% of seats  + 95% of seats

                                                  = 30 + 570

                                         600 = 600

Result:

           The total  number of seats in the theater is 600 seats.

7 0
3 years ago
Find the area of this parallelogram.<br><br> 8.9 cm<br> 7.1 cm<br> 11.4 cm
defon
<h3>Answer: 80.94 square cm</h3>

==================================================

Work Shown:

Area of parallelogram = base*height

Area of parallelogram = 11.4*7.1

Area of parallelogram = 80.94 square cm

-------------

notes:

  • The base and height always form a 90 degree angle (as shown by the small square marker).
  • The side length of 8.9 cm is never used.
  • We can write "square cm" as "cm^2" or \text{ cm}^2
3 0
3 years ago
Read 2 more answers
PLS HELP ASAP THIS IS DUE IN 5 MINUTES
MA_775_DIABLO [31]

Answer:

A and B

Step-by-step explanation:

6 0
3 years ago
Helppppppppppp plssss
Reptile [31]

Answer:

It is the 3rd choice. It is 4 times as big as the smaller cylinder

Step-by-step explanation:

V = πr2h

r - radius

h - height

π - pi

  • Small cyclinder

= π(3)2(10)

enter into a calucaltor and you get 282.74

  • Big cyclinder

= π(6)2(10)

enter into a calucaltor and you get 1130.97

Divide 1130 by 282 and you get about 4

3 0
3 years ago
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