The difference based on the numbers given is -80.
<h3>How to compute the difference?</h3>
The information given illustrates that the difference will be:
= (9 - 1) - (43) - (2 - 3) - 50
= 8 - 43 - (-1) - 50
= 8 - 43 + 1 - 50
= -80
Therefore, the difference or subtraction among the numbers given is -80.
Learn more about difference on:
brainly.com/question/148825
#SPJ1
Answer:
8
Step-by-step explanation:
Let's set this up to see if we can simplify it a bit:
Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top. And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom. Now that looks like this:
10 divided by 5 is 2, and 2 cubed is 8
Answer:
7/16.
Step-by-step explanation:
The first triangle has no shading.
The second triangle has 1/4 shaded.
The third has 3/9.
The fourth has 6/16.
Based on this pattern, we can assume that the number of small triangles in each triangle are going to be squared of numbers, since the first had 1, the second 4, the third 9, the fourth 16. So, the 8th triangle would have 8^2 small triangles, or 64 triangles in total.
The first triangle has no shaded triangles. The second has 1. The third has 3. The fourth has 6. If you study the pattern, the second triangle has 1 more than the previous, the third has 2 more, the fourth has three more. And so, the fifth triangle would have 6 + 4 = 10 triangles, the sixth would have 10 + 5 = 15 triangles, the seventh would have 15 + 6 = 21 triangles, and the eighth would have 21 + 7 = 28 shaded triangles.
So, the fraction of shaded triangles would be 28 / 64 = 14 / 32 = 7 / 16.
Hope this helps!
Answer:
15.0
Step-by-step explanation:
Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.
The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)
First we have to figure out how much fruit punch Jasmine has.
To do this, we just have to add the number of ounces of grape juice she mixes with the number of ounces of apple juice.
37 + 13 = 50.
Jasmine is pouring the punch into 6 ounce cups. To find out how many cups of punch she can make, you have to divide the number of ounces of punch she has (50) by the number of ounces she can put in a cup (6).
50/6 ≈ 8.33
Therefore, Jasmine can
A. make 8 full cups of punch with the apple juice and grape juice.
and
B. Yes, there will be juice left over, because the amount of cups Jasmine could fill had a decimal, or a remainder.
