D=10
Explanations: 2d-5=3d- 15
2d- 3d =-15+5
D=10
It would 20.5, but rounded off would be 21
Okay, so a general rule for finding perpendicular lines in the form of y = mx + b is y = (-1/m) + b.
First, let's ignore b (-7) because we're going to find that later.
A perpendicular line to y = 4x + b is y = -1/4x + b.
Alright, so now let's plug in the values. They are in the form of (x,y), so let's plug them in accordingly.
3 = -1/4(4) + b
3 = -1 + b
b = 4
y = -1/4x + 4
So a line perpendicular to y = 4x - 7 is y = -1/4x + 4.
If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.
The multiplier for increasing by 25% is:
(100 + 25) ÷ 100 = 1.25
So on day one, there are 64 responses. That means on day two, there will be:
---> 64 x 1.25 = 80 responses
On day 3, there will be:
---> 80 x 1.25 = 100 responses
Finally, on <u>day 4</u>, there will be:
---> 100 x 1.25 = 125 responses
A quicker way of getting this would be to do:
64 x 1.25³ since you are multiplying by 1.25 3 times
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Answer:
125 responses
Answer:
315 chocolate
Step-by-step explanation:
Let Sam's chocolate be S
Let Clariss's chocolate be C
When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.
This can be written as:
C = 5S
The sum of their chocolate is 504 i.e
S + C = 504
Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:
S + C = 504
But: C = 5S
S + 5S = 504
6S = 504
Divide both side by 6
S = 504/6
S = 84.
C = 5S = 5 x 84 = 420
Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.
Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:
Amount of chocolate that Clarissa has a first = 420 – 105 = 315
Therefore, Clarissa had 315 chocolate at first.
