Answer:
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Answer:
6 1/4 cups of flour
Step-by-step explanation:
24/2 = 12
2.5/2 = 1.25
12 x 5 = 60
1.25 x 5 = 6.25 cups
For every 24 cookies Markes needs 2.5 cups of flour. So, for 12 cookies he needs half of that which is 1.25 cups. 12 is a fifth of 60, so we multiply 1.25 by 5 which gives us 6.25 cups of flour. :D
Answer:
d : [ 0 , 26 ]
Step-by-step explanation:
Given:-
- The oranges produced last year, x = 36
- The oranges produced this year, y < 10
Find:-
What are the possible values for how many fewer oranges were produced from the tree this year
Solution:-
- The possible values for how many fewer oranges were produced this year relative to last can be determined by solving an inequality that signifies a difference (d) between last year and this year production as follows:
d = x - y
d = 36 - (<10)
- To remove the inequality from Right hand side we we can shift it to left hand side by inverting the inequality sig, since last production is exactly known we have:
d≥36 - 10
d≥ 26
- So the number of oranges produced are at least 26 less than last year and lower bound would be if there is no orange produced this year. Hence, the range is:
d : [ 0 , 26 ]
Answer:
12
Step-by-step explanation:
These are similar triangles, so the ratio of their sides is the same for each side.
AB = 8 and BD = 10
So, the ratio is 8:10 or 4:5
Because the triangles are similar....
The ratio of AC:CE is also 4:5
12:15 = 4:5
So, 12 is the answer!
Answer:
y (x² + 1) (x² - 5)
Step-by-step explanation:
<h3>Factorization:</h3>
Take 'y' from each term.
x⁴y - 4x²y - 5y = y[x⁴ - 4x² - 5]
Now factorize x⁴ - 4x² - 5.
Sum = -4
Product = -5
Factors = -5 , 1
When we add (-5) + 1, it gives (-4) and when we multiply (-5)*1, gives (-5).
x⁴ - 4x² - 5 = x⁴ + x² - 5x² - 5
= x²(x² + 1) -5(x² + 1)
= (x²+ 1) (x² - 5)
x⁴y - 4x²y - 5y = y (x² + 1) (x² - 5)
