Answer:
170
Step-by-step explanation:
Ann, Ben, and Cindy were eating strawberries.
The ratio of the numbers of berries they ate is 5:5:7.
If Cindy ate 30 strawberries less than Ann and Ben together,
find:
what is the total number of strawberries the three of them ate?
solution:
add the ratios 5 + 5 + 7 = 17
since Cindy ate 30, less than Ann and Ben together so, the equation is
7x = 5x + 5x - 30
7x - 10x = -30
x = 30/3
x = 10
ann 5 x 10 = 50
ben 5 x 10 = 50
cindy 7 x 10 = 70
total = 170
By using the ratio and the given information that Cindy ate 30 strawberries less than Ann and Ben combined, we deduced that each part of the ratio corresponds to 15 strawberries. Therefore, all three kids ate in total 255 strawberries.
The first thing you need to do is to use the ratio. 5 parts belong to Ann, another 5 parts belong to Ben and the remaining 7 parts belong to Cindy, which totals 17 parts altogether. We know that Cindy ate 30 strawberries less than Ann and Ben combined, so in terms of the ratio, Ann and Ben make up 10 parts together (5+5) and Cindy's 7 parts are equal to these 10 parts minus 30. Let's denote one part with the letter 'x'. So 10x = 7x + 30, leading to x=15. Now we know that each 'part' in the ratio is equal to 15 strawberries. So, to find the total strawberries they ate you just need to multiply this by the total ratio parts, which is 17. Thus, they ate 17 x 15= 255 strawberries in total.
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Answer:
n = -4/9
Step-by-step explanation:
8n + 9 = -n +5
Add n to each side
8n+n + 9 = -n+n +5
9n +9 = 5
Subtract 9 from each side
9n+9 - 9 = 5-9
9n /9 = -4/9
Divide each side by 9
n = -4/9
Answer:
The sign of acceleration is positive.
Step-by-step explanation:
Consider the provided information.
It is given that A student drops a penny from the top of a tower and decides that she will establish a coordinate system in which the direction of the penny's motion is positive.
Here the direction of the velocity is positive, and the velocity is increasing.
Acceleration is defined as the rate at which an object changes its velocity.
Since velocity is positive therefore the acceleration is also positive.
Hence, the sign of acceleration is positive.
Answer:
It's positive
Step-by-step explanation:
Answer:
Step-by-step explanation:
A= a+b/2 h (area = a +b over 2 times H) plug in your numbers
I dont have a picture, if i did i could solve it, but here is the formula
Angles of a triangle always add up to 180 degrees. The given angles (90, 90, 20 degrees) give a total of 200 degrees, hence they cannot form a triangle.
In order for three angles to form a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the measures of any two angles in a triangle must be greater than the measure of the third angle.
In this case, you have angles measuring 90 degrees, 90 degrees, and 20 degrees. Let's apply the theorem:
1. Angle 1: 90 degrees
2. Angle 2: 90 degrees
3. Angle 3: 20 degrees
Now, let's check if these angles satisfy the triangle inequality theorem:
- Angle 1 + Angle 2 = 90 degrees + 90 degrees = 180 degrees
- Angle 3 = 20 degrees
According to the theorem, the sum of any two angles must be greater than the measure of the third angle. However, in this case, the sum of Angle 1 and Angle 2 (180 degrees) is not greater than Angle 3 (20 degrees). Therefore, these angles do not satisfy the triangle inequality theorem.
So, the answer is "no," 90 degrees, 90 degrees, and 20 degrees cannot form a triangle because they do not satisfy the triangle inequality theorem.
Learn more about Angles of a triangle
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Answer:
no. never.
Step-by-step explanation:
total internal angles of a triangle sum to 180. 90 + 90 is 180 so no, you cannot have a triangle with sides 90 90 and 20. it is possiblw to have 90 45 and 45 though