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Ilya [14]
3 years ago
14

Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this a

s a unit rate.
Mathematics
1 answer:
monitta3 years ago
5 0

Answer:

Fatima's unit rate is 9.5 minutes per mile.

Step-by-step explanation:

To compute the one unit value of a variable divide the total values of <em>n</em> variables by <em>n</em>.

It is provided that it took Fatima 19 minutes to run 2 miles.

Then the unit rate at which Fatima runs is:

\text{Unit Rate}=\frac{19}{2}

                =9.5

Thus, Fatima's unit rate is 9.5 minutes per mile.

You might be interested in
A certain number of sixes and nines is added to give a sum of 126; if the number of sixes and nines is interchanged, the new sum
galina1969 [7]

Answer:

Original number of sixes = 6

Original number of nines = 10

Step-by-step explanation:

We are told in the question that:

A certain number of sixes and nines is added to give a sum of 126

Let us represent originally

the number of sixes = a

the number of nines = b

Hence:

6 × a + 9 × b = 126

6a + 9b = 126.....Equation 1

If the number of sixes and nines is interchanged, the new sum is 114.

For this second part, because it is interchanged,

Let us represent

the number of sixes = b

the number of nines = a

6 × b + 9 × a = 114

6b + 9a = 114.......Equation 2

9a + 6b = 114 .......Equation 2

6a + 9b = 126.....Equation 1

9a + 6b = 114 .......Equation 2

We solve using Elimination method

Multiply Equation 1 by the coefficient of a in Equation 2

Multiply Equation 2 by the coefficient of a in Equation 1

6a + 9b = 126.....Equation 1 × 9

9a + 6b = 114 .......Equation 2 × 6

54a + 81b = 1134 ........ Equation 3

54a + 36b = 684.........Equation 4

Subtract Equation 4 from Equation 3

= 45b = 450

divide both sides by b

45b/45 = 450/45

b = 10

Therefore, since the original the number of nines = b,

Original number of nines = 10

Also, to find the original number of sixes = a

We substitute 10 for b in Equation 1

6a + 9b = 126.....Equation 1

6a + 9 × 10 = 126

6a + 90 = 126

6a = 126 - 90

6a = 36

a = 36/6

a = 6

Therefore, the original number of sixes is 6

7 0
2 years ago
A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?
kicyunya [14]

Answer: 2%, second option is correct.

Step-by-step explanation:

To state 1/50 in percent, divide 1 by 50, then multiply by 100

=( 1 ÷ 50) x 100

= 0.02 x 100

= 2%

I hope this helps, please mark as brainliest.

5 0
3 years ago
We are interested in the dimensions of a certain square a rectangle had length triple the side of this square and width two unit
Sphinxa [80]

Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).

So, the area of this rectangle is

3s(s-2)=3s^2-6s

The area of the square is s^2, and we know that the two areas are the same, so we have

3s^2-6s=s^2 \iff 2s^2-6s=0 \iff 2s(s-3)=0 \iff s=0 \lor s=3

The solution s=0 would lead to the extreme case where the rectangle and the square are actually a point, so we accept the solution s=3.

3 0
2 years ago
suzy uses 1/2 cup of raisins for every 1 1/4 cup of sugar cookies. How many sugar cookies does Suzy need for 2 cups of raisins?
Mandarinka [93]
5 cups.

To go from 1/2 to 2 cups of raisins you multiply by 4.
So 1 1/4 is really 5/4. That times 4 is 20/4 which is 5.
7 0
2 years ago
Read 2 more answers
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
Schach [20]
A would be the answee

6 0
3 years ago
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