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klio [65]
4 years ago
10

The ratio of dogs and cats is 6:7. if the total number of animals is 52, how many cats and how many dogs

Mathematics
1 answer:
Andre45 [30]4 years ago
8 0
D/c = 6/7 => d = 6c/7

d + c = 52
6c/7 + c = 52
6c + 7c = 364
13c = 364
c = 364÷13
c = 28
d = 52 - 28
d = 24
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Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the r
Artist 52 [7]

Answer:

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

Step-by-step explanation:

The given table is presented as follows;

\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}The number of laps in the range 82 to 84 seconds = 1

The number of laps in the range 84 to 86 seconds = 4

The number of laps in the range 86 to 88 seconds = 2

The number of laps in the range 88 to 90 seconds = 4

The number of laps in the range 90 to 92 seconds = 6

The number of laps in the range 92 to 94 seconds = 5

The number of laps in the range 94 to 96 seconds = 2

The number of laps in the range 96 to 98 seconds = 0

Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

5 0
3 years ago
EASY MATH- MERRY X MAS :))))
balu736 [363]

Answer:

x-intercept means the advertising expense when the company's profit was zero dollars ⇒ D

Step-by-step explanation:

Let us solve the question

∵ P = -250x³ + 1,505x² - 300, for 0 < x < 6

∵ P is the profit in tens of thousands of dollars

∵ x is the advertising expense in tens of thousands of dollars  

∴ x is the independent variable

∴ P is the dependent variable

→ x-intercept means value x when P is 0

∵ The x-intercept is the value x at P = 0

∴ x-intercept means the advertising expense when the company's

   profit was zero dollars

4 0
3 years ago
What is the solution of the equation x2 - 4x + 1 = 0?
grin007 [14]

Answer:

-2x+1

Step-by-step explanation:

4 0
3 years ago
How would the expression x^3 - 64 be rewritten using difference of cubes? A. (x + 4)(x^2 - 4x + 16) B. (x-4)(x^2 + 4x + 16) C. (
slavikrds [6]

Answer:

D)

Step-by-step explanation:

4 is an evident zero of the equation x^3 - 64.

x^3 - 64 can only be factorized with (x-4) and not with (x+4)

because x - 4 = 0 <==> x = 4 and 4^3 -64 = 0

Developing B) would be:

x^3 + 4x^3 + 16x - 4x^2 - 16x - 64 = 5x^3 - 4x^2 -64

So it doesn't match so it's D)

3 0
2 years ago
I have a rectangle that is 2 1/2 feet long and 1 1/3 feet wide. What is the area of the rectangle? Please show work
bezimeni [28]
I cant really attach a picture but this is the answer so you turn 2 1/2 into a improper fraction which is 5/2. then you multiply 11/3*5/2. And that equals 55/6. and then turn it into a whole number and it equals 9.16..
5 0
3 years ago
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