Answer:
7kg of potatoes cost 56 R (dollars)
Step-by-step explanation:
First, we have to find the unit price of 1kg of potatoes. To do this we divide <em>24 by 3</em>. That's <em>8</em>. Each kg of potato costs 8 dollars.
Now, all we have to do is multiply <u><em>8 by 7</em></u>.
8 is the unit rate/kg and 7kg is the amount they are asking.
<u><em>8x7=56</em></u>
7kg of potatoes cost 56R
Answer:
D
Step-by-step explanation:
We need to convert these words into mathematical expressions:
- "Twenty-two less than a number"; "less than" indicates that we need to use subtraction, and since it's "twenty-two less than", we have: -22. Let's say the "number" is q. Then, we have -22 of q, which is q - 22.
- "is twenty-four"; "is" in math always means "equal", so we need an equal sign with 24 next to it: = 24
Put this altogether:
q - 22 = 24
The answer is thus D.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.
2p - 3q = 4 ...................... 1 * 3
3p + 2q = 9 ..................... 2 * 2
Multiplying equation 1 by 3 and 3 by 2:
6p - 9q = 12
6p + 4q = 18
Subtracting both equation
-9q-4q = 12-18
-13q = -6
q = -6/-13
q = 6/13
Substituting q = 6/13 into equation 2
2p - 3(6/13) = 4
2p - 18/13 = 4
2p = 4+18/13
2p = (52+18)/13
2p = 70/13
p = 70/26
p = 35/13
<em>Hence p = 35/13 and q = 6/13</em>
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<em>b) </em>If if 223ₓ = 87 find x
Using the number base system and converting 223ₓ to base 2 will give us;
223ₓ = 2*x² + 2*x¹ + 3*x⁰
223ₓ = 2x²+2x+3
Substituting back into the equation, 2x²+2x+3 = 87
2x²+2x+3-87 = 0
2x²+2x-84 = 0
x²+x-42 = 0
On factorizing:
(x²+6x)-(7x-42) = 0
x(x+6)-7(x+6) = 0
(x+6)(x-7) = 0
x+6 = 0 and x-7 = 0
x = -6 and 7
<em>Hence the value of x is 7 (neglecting the negative value)</em>
To find the surface area of a pyramid, we need to find the area of all the faces and add them up.
4 * 6 = 24
24 / 2 = 12
There are four sides (not including the base) in this pyramid, so we should multiply this by 4.
12 * 4 = 48
Now, we find the area of the base.
6 * 6 = 36
We add up all of the numbers:
48 + 36 = 84
84 in^2 is the answer.
Hope this helps!
