Answer:
Step-by-step explanation:
1) Number of white chocolate bars = x
Number of dark chocolate bars = y
Total bars = 15
x + y = 15 --------------(I)
Total cost = Php. 340
20x + 25y = 340 ----------------(II)
2) We can use elimination method to solve this equations.
Multiply equation (I) by (-20) and then add the equations.
(I)* (-20) -20x -20y = - 300
(II) <u>20x + 25y = 340 </u> {Now add and x will be eliminated}
5y = 40
y = 40/5
y = 8
Substitute y = 8 in equation (I)
x + 8 = 15
x = 15 - 8
x = 7
3) Number of dark chocolate bars = 8
Answer:
-10, -2, 5
Step-by-step explanation:
First, you can start by making a table.
<u>Negative | Positive</u>
-10 | 5
-2 |
The positive number is obviously the greatest, so now we look at the negative numbers. If the numbers were on a number line, -10 would be more to the left than -2, so it's the least. That leaves -2, which is greater than -10 but less than 5.
The length is 8. Therefore, the width is 4.
The area of a rectangle is: 8*4=32 square units. The correct answer is (C)
Answer:
The answer to your question is: 20°
Step-by-step explanation:
Data
m∠XZY = 40
m∠XZB = 20
Process
1.- Find the measure of ∠ XAB
∠XAB = 40° because AB ║ YZ
2.- Find the measure of ∠ZAB
∠ZAB + ∠XAB = 180
∠ZAB = 180 - ∠XAB
∠ZAB = 180 - 40
∠ZAB = 140°
3.- Find the measure of ∠ABZ
The sum of the internal angles in a triangle equals 180°
∠AZB + ∠ZAB + ∠ABZ = 180
20° + 140° + ∠ABZ = 180
∠ABZ = 180 - 20 - 140
∠ABZ = 20°
Answer:
+3
Step-by-step explanation:
(-m)^(-3) = -m^3, since (-1)^-3 = 1 / (-1).
If m = 2 then we have -2^(-3), or -1 / [2^3]), or -1/8.
Finally, if n = -24, the original expression becomes
(-1/8)(-24) = +3
Second problem: Only the first expression simplifies to a negative result.
