Answer:
m = - 3/4
Step-by-step explanation:
m = (7-4)/(0-4)
= 3/- 4
= - 3/4
Answer:
x = 14
Step-by-step explanation:
If the perimeter is 80, then that is (x+6) + (x+6) + (x+6) + (x+6). If you want to find x, you have to get rid of 6. 6+6+6+6 = 24. The perimeter, 80, minus 56. You then divide 56 by 4 to get x. That is 14. To check, you find (14+6)*4. That is 80.
Let <em>a</em> be the number in the 10s place and <em>b</em> in the 1s place. Then the original two-digit number is 10<em>a</em> + <em>b</em>.
The sum of the digits is 5:
<em>a</em> + <em>b</em> = 5
Subtract 9 from the original number, and we get the same number with its digits reversed:
(10<em>a</em> + <em>b</em>) - 9 = 10<em>b</em> + <em>a</em>
Simplifying this equation gives
9<em>a</em> - 9<em>b</em> = 9
or
<em>a</em> - <em>b</em> = 1
Add this to the first equation above:
(<em>a</em> + <em>b</em>) + (<em>a</em> - <em>b</em>) = 5 + 1
2<em>a</em> = 6
<em>a</em> = 3
Then
3 - <em>b</em> = 1
<em>b</em> = 2
So the original number is 32. Just to check, we have 3 + 2 = 5, and 32 - 9 = 23.
The expression for the total amount of apples is 29x
<em><u>Solution:</u></em>
Given that,
Sarah has 12 bags of apples
Mikaela has 17 bags of apples
Each bag has the same amount of apples inside
Let "x" be the number of apples in each bag
Then,
Sarah has 12x apples
Mikaela has 17x apples
<em><u>Wrie an expression for the total amount of apples</u></em>
Total amount of apples = 12x + 17x
<em><u>Then simplify it using the distributive property to create an equivalent expression</u></em>
By distributive property,
a(b + c) = ab + bc
Therefore,
Thus expression for the total amount of apples is 29x
Answer:
b = 44
Step-by-step explanation:
b + 90 + 46 = 180 (Supplementary Angles)
b = 180 - 90 - 46
b = 44
