Andy cycles a distance of 30 km at an average speed of 24 km/h. He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes. Give your answer in hours and minutes.

The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.

Speed is the ratio of distance travelled to time taken. Speed is given by:

Speed = distance/time

Given that the runner is running at a rate of 12 mph for 15 min, hence:

speed = 12 mph, time = 15 min * 1/60 min per hour = 0.25 hours.

Hence:

Speed = distance/time

12 mph = distance/0.25 hours

distance = 3 miles

The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.

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The logarithm base 10 of 0.00001 is -5.

The logarithm of 0.00001 can be evaluated using the base 10 logarithm, commonly denoted as log10.

In this case, log10(0.00001) is asking "What power of 10 gives us 0.00001?"

To understand this, let's rewrite 0.00001 in scientific notation.

0.00001 can be expressed as 1 x 10⁻⁵, where -5 is the exponent.

Therefore, log10(0.00001) = -5.

This means that 10 raised to the power of -5 equals 0.00001.

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#SPJ6

Answer:

Please find attached pdf

Step-by-step explanation:

Answer:

C) [tex]s\geq 5[/tex]

Step-by-step explanation:

The phrase "at least", represents the greater than or equal to sign. Only Option C shows this sign, so it's correct.

Hope it helps!

Answer:

10

Step-by-step explanation:

he can buy 10 because 7×10=70

Answer:

10

Step-by-step explanation:

Answer:2.4 chapters

Step-by-step explanation:

Answer:

[tex]m=6+2\sqrt{5}[/tex]

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

4 (6-1)-9

4 (5) - 9

20 - 9

= 11

Answer:

3x² * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

2x * (9x³ + 6x² - 12x) = 18x⁴ + 12x³ - 24x²

x² * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

6x² * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Step-by-step explanatation:

Let's set unknown variables as y (and y₁, y₂, etc)

Question 1:

y *  (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

So, divide both sides by (6x² + 4x - 8)

y = 3x²

Question 2:

2x * (9x^y₁ + y₂*x^y₃ - y₄*x) = 18x⁴ + 12x³ - 24x² '

Divide both sides by 2x.

(9x^y₁ + y₂*x^y₃ - y₄*x) = 9x³ + 6x² -12x

y₁ = 3, y₂ = 6, y₃ = 2, y₄ = 12

Question 3:

x^y * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

Divide both sides by (18x² + 12x - 24)

x^y = x²

Question 4:

y₁  * x^y₂ * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Divide both sides by (3x² + 2x - 4)

y₁  * x^y₂ = 6x²

y₁ = 6, y₂ = 2

I hope this helps! Feel free to ask any questions!

Answer:

the right one is b

Step-by-step explanation:

because if you add all of the other oned it would be 24

Answer:

(-4,-1)

Step-by-step explanation:

Try plugging into Desmos Graphing Calculator

Answer:

33.75

Step-by-step explanation:

The volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

It is given that the prism is 5 feet tall whose base is a right triangle with leg lengths of 3/2 feet and 9 feet.

It is required to find the volume of the prism.

It is defined as a three-dimensional space enclosed by an object or thing.

We have 5 feet tall prism ie.

height of the prism h = 5 feet

and base b = 3/2 feet

and length = 9 feet

We know the volume of the right triangle prism is given by:

[tex]\rm V = \frac{b\times h\times l }{2}[/tex]

Putting the values of b, h, and l, we get:

[tex]\rm V =\frac{\frac{3}{2} \times 5\times 9}{2}[/tex][tex]\rm V = \frac{3 \times 5\times 9}{2\times2} \Rightarrow \frac{135}{4}[/tex]

V = 33.75 cubic feets

Thus, the volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

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Answer: Its just 5

Step-by-step explanation: Its always the first digit of the number.

Answer:

Isosceles right

Step-by-step explanation:

This triangle would be classified as Isosceles right because all the sides are the same length, which classifies as Isosceles, and the triangle has a right angle (90 degrees).

Answer: $50

Step-by-step explanation:

From the question, we are informed that a certain man has a negative balance of P250 in his back account and that he then deposits P300 in his back account.

The current balance in his account? will then be gotten by adding the negative balance of $250 to the $300 deposited. This will be:

= -$250 + $300

= $50

Therefore, his current balance will be $50

Answer:

17 gallons.

Step-by-step explanation:

was this a trick question

Answer:

2.83 3 repeating

Step-by-step explanation:

Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.

Step-by-step explanation:

Answer:

3,364

Step-by-step explanation:

8 + 25 x 2

To solve this one, you multiply first according to PEMDAS. So,

25*2= 50

It is now 8+50 so you add that and you get 58

Now 58 with a power of 2 can als be written as 58^2

Basically you multiply 58 two times.

58*58=3,364

3,364

Hope this helps!!

-Ketifa

(Can I get brainliest?)

Answer:

He bought 26.2 pounds.

Step-by-step explanation:

9.17/0.35 = 26.2

Given:

A graph that contains image and preimage.

To find:

Which figure is the preimage and which figure is the image.

Solution:

Initial figure is known as preimage and translated figure is known as image.

It is given that a triangle was translated 4 units down. It means, the upper triangle is preimage and the lower triangle is the image.

So, ΔFGH is the pre-image and ΔABC is the image.

Therefore, the correct option is B.

the answer is B :0

i got it right on my assignment !!!!

Answer:

it is a, or n=15

Step-by-step explanation:

Answer:

n=15 (No it's not cap)

Step-by-step explanation:

if the interior angle is 156 then to find the exterior angle we just do 180-156 which equals 24

360/24=15 so there are 15 sides

Given:

A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.

To find:

The value of x.

Solution:

From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.

Length of altitude = 18

If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.

By using geometric mean theorem,  we get

[tex]18=\sqrt{x\times 8}[/tex]            [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]

[tex]18^2=8x[/tex]

[tex]324=8x[/tex]

Divide both sides by 8.

[tex]\dfrac{324}{8}=x[/tex]

[tex]40.5=x[/tex]

Therefore, the value of x is 40.5.

Answer:

Step-by-step explanation:

728 answer is C

Answer:

15x+8=180-97 , solve for x and u shall get the answer

Answer:5

Step-by-step explanation:

Since 97 and the other angle together make a straight line, you can find the angle by doing 180-97 which is 83. Then you 15x+8=83. 15x=75. x=5.