The <em><u>correct answer </u></em>is:
B. 14
Explanation:
Let x be the number of days. On day 1, we begin with 64 orders. We gain 18 orders per day; this is 18x, and gives us
64+18x.
We also make 28 crates per day, which decreases the number of crates we need by 28 per day; this is -28x, and gives us
64+18x-28x
Combining like terms, we get
64-10x
For day 5, we replace x with 5:
64-10(5) = 64-50 = 14
7-foot
EXPLANAT
Given:
14 foot tree
8foot shadow
4foot shadow
Let h be the height of a tee that casts a 4 foot long shadow.
Using proportion;
14 foot = 8 ft shadow
h = 4 ft shadow
Cross - multiply
8h = 56
Divide both-side by 8
h = 7 foot.
Hence, the tree is 7-foot.
Answer:
$8
Step-by-step explanation:
14 - 6 = 8
Answer:
53
Step-by-step explanation:
To evaluate 6x + 11, we must substitute the value of x.
Since we know that x = 7, it is easier to evaluate the expression;
6x + 11
6(7) + 11
Since 6 is outside the parenthesis, we must multiply everything inside the parenthesis by 6;
6(7) + 11
42 + 11
When you add the two numbers you get:
53
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
