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Vedmedyk [2.9K]
3 years ago
11

A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which

of them will win the race?
Mathematics
2 answers:
Phoenix [80]3 years ago
7 0

the answer would be 90% because when you multiply 30% x 30% =90% its the same as 3 x 3 = 9

exis [7]3 years ago
3 0
The cat travels 0.7 times as far as the dog on each stride, but it takes 1.3 times as many strides in a given time interval. Hence the cat's distance relative to the dog's is 0.7*1.3 = 0.91. This is less distance than the 1 unit the dog covers in the same time.

The dog will win the race.
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Solve<br><br> 1/5 (x+3)=−(2x+3)
Rasek [7]

Answer:

Step-by-step explanation:

just simplify the LHS first.

You can either multiply 1/5 by (x+3) and then solve

or

multiply both sides by 5 to get rid of 1/5 on LHS

I will multiply by 5

(x+3)= -10x-15     ( 5*1/5(x+3)= -5(2x+3)

now rearrange the equation

x+3=-10x-15

-10x-15-x-3=0

-11x-17=0

-11x=17

x= -17/11

4 0
3 years ago
The vertical of three squares are joined to form a right triangle , what is the area of the largest square
lakkis [162]

Answer:

43cm²

Step-by-step explanation:

let's first consider the area of a square.

the area is L² which means all sides are equal so we take the length times the breadth which is both equal because like we said all sides are equal.

so to find the side of the square using the area, we take the square root of both of the area.

\sqrt{25}  = 5

and also

\sqrt{18}  = 4.2

so we have the height of the triangle as 5cm and the base is 4.2cm.

now, from the triangle, since we have two sides and it's a right-angled, we can use Pythagoras' formula.

\sqrt{ {5}^{2}  +  {4.2}^{2} }  = 6.53cm

so the side 6.53cm is also the same side as the largest triangle. Since it's a square, all sides are equal. So we find the area of the largest triangle by using the formula

Area = L²

Area = 6.53²

Area = 42.6cm

the nearest cm square

Area = 43cm²

8 0
2 years ago
Read 2 more answers
What is 3 4/15 divided by (8 divided by 6 3/10)
kenny6666 [7]
8 / 6 3/10

= 8 * 10/63
=80/63

3 4/15 / 80/63

= 49/15 * 63/80

=<u>2.5725</u>

5 0
3 years ago
Please help me if you know<br> it means a lot thank you
max2010maxim [7]

1.5 x -3 +4. x=-3

-15+4

-11

2.-4/4-2 x-4-3. y=-4

-1-+8-3

7-3

4

6 0
3 years ago
The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want t
Scilla [17]

Answer:

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

Step-by-step explanation:

Confidence interval normal

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.96}{2} = 0.02

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.054\frac{54}{\sqrt{430}} = 5.35

The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes

The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

8 0
3 years ago
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