Answer:
Step-by-step explanation:
Complementary angles form a right angle and supplementary angles form a straight angle.
<h3>#7</h3>
<u>Complementary:</u>
<h3>#8</h3>
<u>Supplementary:</u>
- 2x + 6x + 20 = 180
- 8x = 160
- x = 20
Answer:
See below.
Step-by-step explanation:
Unit rate = 78 / 3/4
= 78 * 4/3
= 26*4 (because 78 / 3 = 26)
= 104 calories per cup
There are 2 * 104 = 208 calories in 2 cuos of cereal..
What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)
Three consecutive integers are . . . x, x+1, and x+2
The smallest two are . . . x and x+1
Their product is . . . . . x(x+1)
5 times the largest one is . . . 5(x+2)
5 less than that is . . . . . . 5(x+2)-5
Now, the conditions of the problem say that <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .
Eliminate parentheses: x² + x = 5x + 10 - 5
Combine like terms: x² + x = 5x + 5
Subtract 5x from each side: x² - 4x = 5
Subtract 5 from each side: <u>x² - 4x - 5 = 0</u>
You could solve that by factoring it, or use the quadratic equation.
Factored, it says that (x + 1) (x - 5) = 0
From which <em>x = -1</em>
and <em>x = +5</em>
We only want the positive results, so our three consecutive integers are
5, 6, and 7 .
To answer the question, the smallest one is <em><u>5 </u></em>.
<u>Check</u>:
5 x 6 ? = ? (7 x 5) - 5
30 ? = ? (35) - 5
30 = 30
yay !
Answer:
ZX
Step-by-step explanation:
