Answer:
plane because i know what it is
45 adult tickets were sold.
adult tickets = a
childrens tickets = b
a + b = 65
6a + 3.5b = 340
Subtract a from the equation on top to get b = 65 - a
Substitute into the second equation 6a + 3.5(65 - a) = 340
Simplify to make 6a + 227.5 - 3.5a = 340
6a - 3.5a = 340 - 227.5
Combine like terms so that 2.5a = 112.5
Divide both sides by 2.5 to isolate the variable a
Your final answer is a = 45
Answer:
1, 4 or 7
Step-by-step explanation:
The divisibility rule/shortcut for 3 is that the sum of its digits is divisible by 3. So, you currently have 29 (7+1+7+6+2+6+0), and you have to make that number divisible by 3.
adding 1 gets you 30, which we know is divisible by 3.
then, instead of trying every digit, we can note that
30 , 33 , 36 , 39 ....
are divisible by 3.
But the most we can add to the sum of 29 is 9 (because that is the highest digit possible)--so numbers above 38 are irrelevant
so, we want to find out if we can make 29 into 30, 33, or 36
adding 1 to 29 = 30
adding 4 to 29 = 33
adding 7 to 29 = 36
So, by making the first digit 1 , 4 , or 7, you make the number divisible by 3 (making the sentence true)
Answer:
3
Step-by-step explanation:
Slope =y2−y1 divided to x2−x1
8−2
4−2
6/2
= 3
Hope this helped :)
Have a good one
9514 1404 393
Answer:
(b) -36
Step-by-step explanation:
Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)
This table shows the remainder, which is f(-2), is -36.
__
The equation itself can be rewritten in "Horner form" to facilitate evaluation.
f(x) = (((-x +2)x -1)x +4)x +8
In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.
f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8
= (((4)(-2) -1)(-2) +4)(-2) +8
= ((-9)(-2) +4)(-2) +8
= (22)(-2) +8
= -36
f(-2) = -36 . . . . remainder from synthetic substitution
