Andy buys x cakes. Betty buys 4 times as many cakes as Andy. Colin buys 3 more cakes than Andy. Each cake costs 65p. The total c
1 answer:
Answer:
Each cake cost £ 13.00
Step-by-step explanation:
We were given that, each cake costs or £
Andy buys cakes.
Andy's cost is
£
Betty buys 4 times as many cakes as Andy.
Betty's cost is
£
£
Colin buys 3 more cakes than Andy
Colin's cost is
£
The total cost of the cakes is £ .
This implies that,
We expand to get,
We group like terms to get,
This gives us,
This implies that,
Therefore each cake cost £ 13.00
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Answer:
angle 1=°
Step-by-step explanation:
to find the angle of 1 you should know angle 2, what is angle 2?
angle ° and angle
are symetrical so they have the same value.
now that we know that angle 2 is equal to °
then what is angle 1
if the whole line has an angle of ° and angle
°.
so the equation will be :
flip the equation to find :
the angle 1 which we found in the given equation is 135
check if my answer is correct is :
my equation is correct
Answer:
The values are:
Step-by-step explanation:
Given:
- P = (x₁, y₁, z₁) = (1, 2, b)
- Q = (x₂, y₂, z₂) = (c, -7, 4)
- m = R = (x, y, z) = (-3, a, -1)
To Determine:
a = ?
b = ?
c = ?
Determining the values of a, b, and c
Using the mid-point formula
- As the point R(-3, a, -1) is the midpoint of the line segment jointing the points P(1,2,b) and Q(c,-7,4), so
- m = R = (x, y, z) = (-3, a, -1)
Using the mid-point formula
given
(x₁, y₁, z₁) = (1, 2, b) = P
(x₂, y₂, z₂) = (c, -7, 4) = Q
m = (x, y, z) = (-3, a, -1) = R
substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P, (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula
as (x, y, z) = (-3, a, -1), so
<u>Determining 'c'</u>
-3 = (1+c) / (2)
-3 × 2 = 1+c
<u>Determining 'a'</u>
a = (2+(-7)) / 2
<u>Determining 'b'</u>
-1 = (b+4) / 2
Therefore, the values are: