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Dovator [93]
3 years ago
13

Find the missing number of each unit rate.

Mathematics
2 answers:
Nutka1998 [239]3 years ago
7 0
3 and 4 because 5 goes into 15 three times and 6 goes into 24 four times
UNO [17]3 years ago
6 0
15/5 = 3/1 24/6 = 4/1
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The speed of the current in a creek is 5 mph. A person clan kayak 3 mi upstream in the same time that it takes him to kayak 13 m
Brut [27]

Answer:

8

Step-by-step explanation:

0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;

1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';

2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;

3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);

4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);

5) if t=3/(v-5) and t=13/(v+5), then

\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.

8 0
3 years ago
Simplify 9x + 18(2x - 6) + 13
Aliun [14]

Answer:

45x-95

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The test scores of 40 students are listed below. Find P85.
SIZIF [17.4K]

Answer:

Option A (89).

Step-by-step explanation:

Percentile is a statistic in which the an element at a certain percentage position is determined. To calculate the percentiles accurately, it is important that the data is present in the ascending order. Percentile is an important concept in data analysis. Interestingly, 50th percentile is the median of the data. The difference between the 75th and the 25th percentile is the interquartile range. To find the 85th percentile of the data, calculate 85% of 40, which is the number of elements in the data set. 40 * 85/100 = 34. The number on the 34th position is the 85th percentile of the data. It can be observed that 89 is on the 34th position. Therefore, Option A is the answer!!!

8 0
3 years ago
The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h<k. Point P is the m
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = \frac{1+5}{2} = \frac{6}{2} = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of  P = (3, - 12 )

6 0
4 years ago
Read 2 more answers
A rectangle with length 16cm and width 12cm is inscribed in a circle.What is the area of the region inside the circle and outsid
mario62 [17]
The area of circle is πr2.
22/7×10×10
314.1(approx)
The area of left region=Area of circle-area of rectangle
3 0
3 years ago
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