Answer:
10
Step-by-step explanation:
We start by getting the value of x
We have this as follows:
5x ≤ 43 + 11
5x ≤ 54
x ≤ 54/5
x ≤ 10.8
As we can see, the maximum integer closest to this decimal is the value 10
Answer:
(x, y) = (5, 1)
Step-by-step explanation:
To <em>eliminate</em> x, you can double the second equation and subtract the first.
... 2(x +4y) -(2x -3y) = 2(9) -(7)
...11y = 11 . . . . . simplify
... y = 1 . . . . . . divide by 11
Using the second equation to find x, we have ...
... x + 4·1 = 9
... x = 5 . . . . . subtract 4
_____
<u>Check</u>
2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation
(Since we used the second equation to find x, we know it will check.)
Answer:
14 cm squared
Step-by-step explanation:
The shaded triangle is clearly half of the rectangle, and half of 28 is 14.
The other way you can look at it is that the dimensions of the rectangle are 4 cm and 7 cm. The area of a triangle equation is 
. So 
is 14.
Answer:
<u><em>45/49</em></u>
Step-by-step explanation:
You do the inverse operation so 7/15=15/7. 15/7×3/7= 45/49. You can't simplify it any further so it is 45/49.
Hello!
The fraction is an improper fraction (the numerator is greater than the denominator). The whole number part of the mixed number is found by dividing the 24 by the 9. The fractional part of the mixed number is found by using the remainder of the division, which in this case is 6 (24 divided by 9 is 2 remainder 6).
