The quadratic equation:
4x^2 + 34x + 60 = 0
4x^2 + 24x + 10x + 60 = 0
4x(x + 6) + 10(x + 6)
(4x + 10) (x + 6)
x = - 6 , - 5/2
the answer is : c. -6, -5/2
hope this help
Answer:
288
Step-by-step explanation:
To solve, we need to find the area of the four triangle sides and add that to the square base's area.
Area of triangle sides: base * height * 0.5
Area of square base: base * height
Substitute the values
8 * 14 * 0.5 = 56
There are four of these sides, so the area of all the triangles is 224.
The square base is 8 * 8, or 64
Add these two values together.
64 + 224 = 288
Thus, the answer is 288
Answer:
A.) 52%
Step-by-step explanation:
14+12=26
26/5=5.2
you now have 5.2, then you take the decimal and move it over to make a percentage.
Answer:
x² is equal to 289 so x is obviously the square root of 289 which is 17
Answer: 1,045 passengers
Step-by-step explanation:
This question involves multiple steps. Let's first try to figure the number of children on the cruise.
The ratio of girls to the total number of children was 2:5. There are 198 boys.
This information tells me that for every 5 children, there's 2 girls and 3 boys.
Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.
198÷3=66
Let's multiply 66 by 5 since that's the number of groupings based off the ratio.
66×5=330
Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.
There are 330 children on the cruise.
The ratio of the number of adults to the number of children was 13:6.
For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.
330÷6=55
Let's now multiply the groupings by 13 to find the number of adults.
55×13=715
So there should be 715 adults and 330 children on the cruise.
715+330=1,045
