By solving a linear equation, we conclude that you bought 4 buns and 5 cakes.
<h3>
How many of each did I buy?</h3>
We will define the two variables:
- x = number of buns bought.
- y = number of cakes bought.
We know that you spent exactly £4.35, then we only need to solve the linear equation:
x*0.40 + y*0.55 = 4.35
We need to solve that equation for x and y, such that the values of x and y can only be positive whole numbers.
We can rewrite the equation as:
y*0.55 = 4.35 - x*0.40
y = (4.35 - x*0.40)/0.55
Now we only need to evaluate it in different values of x, and see for which value of x, the outcome y is also a whole number.
We will see that for x = 4, we have:
y = (4.35 - 4*0.40)/0.55 = 5
So you bought 4 buns and 5 cakes.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Since we are dealing with volume, when one object is 4 times bigger than another, the difference in volume is 4^3 = 64.
6 cm sphere = 4/3 *PI * 6^3
6 cm sphere = 4/3 *PI * 216
6 cm sphere =
<span>
<span>
<span>
904.78 cc
24 cm sphere = </span></span></span>4/3 *PI * 24^3
24 cm sphere = 4/3 *PI * 13,824
24 cm sphere =
<span>
<span>
<span>
57,905.84
</span>
</span>
</span>
cc
Comparing the volumes: <span>57,905.84 / 904.78 = </span><span><span><span>64
</span>
</span>
</span>
<span>
</span>
Answer:
7+2+2
Step-by-step explanation:
The correct answer is option B
(5 + 3i)(4+ 2i)
= 5(4+2i) + 3i(4+2i)
= 20 +10i + 12i +6i²
= 20 +22i +6(-1)
= 20 + 22i - 6
= 14 + 22i
Answer:
The value of x is 2
Step-by-step explanation:
<h3><u>Given</u>;</h3>
<h3><u>To Find</u>;</h3>
Now,
tan 27 = 1/x
0.5 = 1/x
x = 1/0.5
x = 2
Thus, The value of x is 2
<u>-TheUnknownScientist 72</u>
