Answer:
67.5
Step-by-step explanation:
-19/40
-3/8
19/40
Answer: 19/40
Step-by-step explanation: first we need the values in the numerator, so we can multiply in X where you multiply the denominators with numerator of the other value in the equation finally we resolve simple equation between both numerator, so the numerator equations will be.
(-10) * (-3) = 30
(-8) * ( -1) = 8
then we get this values in the numerator
30 + 8 = 38
in the denominator we only need to multiply both values.
(-8) * (-10) = 80
after we divide each result between 2
numerator 38/2 = 19
denominator 80/2 = 40
after this, we can place the numerator and the denominator into the equation and we get the following result
19/40
Answer:
The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
Step-by-step explanation:
The given parameters are;
The number of grandchildren in the family = 4
The product of the ages of the four grand children = 67184
The age of the youngest grandchild < 10
The age of the oldest grandchild = 30 + The age of the youngest grandchild
Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild
Therefore, we have;
a < 10
The age of the oldest grandchild = a + 30 < 10 + 30
∴ The age of the oldest grandchild < 40
The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184
The factors of 67184 that are between 1 and 40 are;
1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38
Taking a = 8, we have;
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342
Therefore. a × b = 67184/(a × (a + 30) = 196.44
Therefore, a ≠ 8
For a = 4, we have the age of the oldest grandchild = a + 30 = 4 + 30 = 34
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136
Therefore. a × b = 67184/(a × (a + 30) = 494
We find that the other factors of 67184, which are 19 and 26 have a product of 494
Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
To give, 4 × 19 × 26 × 34 = 67,184.
Answer:
66 2/3 words per minute
Step-by-step explanation:
To convert 800 words in 12 minutes to a unit rate, you need to divide 800 and 12 by 12. Since 80012=2003=6623
12
800
=
3
200
=66
3
2
, then 800 words in 12 minutes = 6623words per minute
66
3
2
words per minute
.