Answer:
-8/23
Step-by-step explanation:
3x/(5x+2) = - 4
3x = - 4(5x + 2)
3x = -20x - 8
23x = - 8
x = - 8/23
Answer:
x = - 5, y = - 9
Step-by-step explanation:
Given
x + 9i = - 5 - yi
For the 2 sides to be equal then the coefficients of like terms must be equal.
x = - 5 and 9 = - y ⇒ y = - 9
Answer:
<h2>LA = 24 ft²</h2>
Step-by-step explanation:
In the base we have the right triangle. Use the Pythagorean theorem for to calculate the hypotenuse:
The Lateral Area is the sum of the areas of three rectangles:
The Lateral Area:
9514 1404 393
Answer:
21
Step-by-step explanation:
Rearranging the given ratio, we can find the ratio of boys to the total.
boys : (boys +girls) = 7 : (7+8) = 7 : 15
Then the number of boys is ...
(7/15)(45) = 21
There are 21 boys in the classroom.
It's a trick question. There are an infinite number of mixed numbers between 3 and 4 that can multiply to equal 12 (for example, 3 and 3/7 times 3 and 1/2), but there are no mixed numbers between 3 and 4 that can multiply to equal 9. 3 times 3 is not between them but is 3, but that quantity is excluded because 3<x<4. Anything even a small bit above the number 3 would have to be multiplied by 2 and some fraction, which would not be between 3 and 4.
