All categories

2 years ago

a cheetah can run a 2 and 2/5 km in 1 and 1/2 minutes at top speed. What is the top speed of a cheetah in kilometers per hour?

1 answer:

5 0

Answer: 1.6 per 1 minute

Answer step by step:

2.4miles=1.5 minutes

2.4/3=

0.8 x 2 =

1.6

Because 1.5 can be split into 3 parts to get one-third that times 2 makes the minutes into 1 minute
So it can go 1.6 km in 1 minute

You might be interested in

You and your friend buy 2 fruit smoothies and leave a tip. You split the total and your half comes to 3.60. What percent tip did

NNADVOKAT [17]

The percent of the tip left is 20% from $3.60

7 0

2 years ago

A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side

mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

$x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87$

3 0

3 years ago

What is the solution of log(3x − 2)125 = 3?

Reil [10]

$log_{3x - 2}125 = 3 \\ (3x - 2)^3 = 125 \\ \sqrt[3]{(3x - 2)^3} = \sqrt[3]{125} \\ 3x - 2 = 5 \\ 3x = 5 + 2 \\ 3x = 7 \\ x = 7/3$

8 0

2 years ago

Amplitude of y=-3sin5x

GaryK [48]

Answer:

Amplitude is 3

Step-by-step explanation:

in y=-3sin5x

the number in front of sign is always the amplitude. Its not negative 3 because the negative simply means it reflects across the x-axis

4 0

3 years ago

Read 2 more answers

What is the slope of the line with the following equation?<br><br> <img src="https://tex.z-dn.net/?f=2x%2B3y%3D2" id="TexFormula

KengaRu [80]

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

$2x+3y=2 \rightarrow 3y=2-2x\ or\ 3y=-2x-2$

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

$\frac{3y}{3}=\frac{-2x-2}{3} \\ \\ y=-\frac{2}{3}x-\frac{2}{3}$

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by $-\frac{2}{3}$ , which means that is your answer.

Answer: $-\frac{2}{3}$

5 0

2 years ago

Read 2 more answers