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3 years ago

12

A yogurt shop offers 5 different flavors and11 different topping how many choices are possible for a single serving of yogurt wi

th one topping

1 answer:

GalinKa [24]3 years ago

3 0

If you have 5 flavors and 11 toppings, but you can only have 1 of each you take 5×11 to get 55

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A cube is packed with decorative pebbles. If the cube has a side length of 2 inches, and each pebble weighs on average 0.5 lb pe

kow [346]

We can solve this problem by first solving for the total volume of the cube. The formula for volume of cube is given as:

V cube = s^3

Where s is the length of one side which is equivalent to 2 inches. Therefore:

V cube = (2 inches)^3

V cube = 8 cubic inch

Assuming that all the pebble fills the cube without any spaces, then the total weight of the pebbles in the cube would simply be:

Total weight = 0.5 lb per cubic inch * 8 cubic inch

Total weight = 4 lb

Therefore, the total weight of the pebbles in the cube is <u>4 lbs</u>.

5 0

3 years ago

Let A and B be two events. The probability that event B occurs is 0.72. The probability that events B and A both occur is 0.24.

Sedaia [141]

C is the answer to this question. I hope this helps.

6 0

3 years ago

Read 2 more answers

Sydney wants to use a 10-ft ladder to get to a window 8 feet above the ground. At what angle with the ground does the ladder nee

slamgirl [31]

Answer:

The angle is 53.13 degrees

Step-by-step explanation:

In this question, we are to calculate the angle to which a ladder is to be set to get to a window.

Now, looking at this, we can picture a triangle where the length of the ladder represents the the hypotenuse while the angle we are considering makes the height of the room from the floor.

Please check attachment for picture of triangle

Since we are considering the hypotenuse and the opposite, the mathematical term we would be using is the sine.

Sine of an angle = length of opposite/length of hypotenuse

Sine angle = 8/10

since angle = 8/10

angle = arc sin 0.8

angle = 53.13 degrees

6 0

3 years ago

If we draw lines to join each given point to the origin, identify the points whose corresponding line has a slope that is an int

xz_007 [3.2K]

Answer:

The slopes of OA, OB ans OC are integer values.

Step-by-step explanation:

If a line passing through two points then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

If one point is origin then the slope of the line is

$m=\frac{y_2-0}{x_2-0}=\frac{y_2}{x_2}$

The slope of line OA is

$m_{OA}=\frac{8}{2}=4$

It is an integer.

The slope of line OB is

$m_{OB}=\frac{9}{3}=3$

It is an integer.

The slope of line OC is

$m_{OC}=\frac{8}{4}=2$

It is an integer.

The slope of line OD is

$m_{OD}=\frac{8}{5}$

It is not an integer.

The slope of line OE is

$m_{OE}=\frac{7}{6}$

It is not an integer.

The slope of line OF is

$m_{OF}=\frac{6}{7}$

It is not an integer.

Therefore the slopes of OA, OB ans OC are integer values.

3 0

3 years ago

Read 2 more answers

If <3 measures 123°, what is the measure of <7?

BaLLatris [955]

Answer:

assuming <3 is supplementary to <7 then <7 is 57

Step-by-step explanation:

180-123=57

3 0

3 years ago