Answer:
The below attached graph shows the given inequality.
Step-by-step explanation:
Here, the given inequality,
x - 2y > -12
Since, related equation of the inequality,
x - 2y = -12
Which is a line passes through (-12, 0) and (0, 6)
Also, '>' represents dotted line,
So, join these two points by dotted line in the coordinate plan,
Now,
0 - 2(0) > -12 (True)
i.e. shade the region of the line that contains origin.
By the above explanation we will get the graph of given inequality ( shown below )
Answer:
20π square units
Step-by-step explanation:
The sector area is found using the proportion ...
sector area / circle area = sector angle / whole circle angle
Multiplying by "circle area", we get ...
sector area = (circle area)( sector angle / whole circle angle)
= (100π)(2/5π)/(2π)
= (100π)(1/5)
sector area = 20π
STEP 1:
Tally up the total number of batches.
= 3 batches + 4 batches
= 7 batches
STEP 2:
Multiply the total number of batches by the amount of butter used in one batch (which is 1/4 cup).
= 7 batches * 1/4 cup per batch
= 7 * 1/4
= (7*1)/4
= 7/4
= 1 3/4 cup of butter
Beth used 1 3/4 cup of butter to make a total of 7 batches of cookies.
Hope this helps! :)
Answer:
Yellow.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. Experimental probability is found taking into account previous experiments.
In this question:
6 + 5 + 4 + 10 = 25 total marbles.
The experimental probabilities are:
6/25 probability it is red.
5/25 = 1/5 probability it is yellow. Thus, the answer is yellow.
4/25 probability it is blue.
10/25 = 2/5 probability it is green.
Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25