The solution to the system of equation is as follows:
x = 3
y = 11
<h3>How to solve the system of equation?</h3>
y = x + 8
y = 3x + 2
Using substitution method,
3x + 2 = x + 8
subtract x from both sides
3x - x + 2 = x - x + 8
2x + 2 = 8
subtract 2 from both sides
2x + 2 - 2 = 8 - 2
2x = 6
divide both sides by 2
2x / 2 = 6 / 2
x = 3
y = 3 + 8 = 11
y = 11
learn more on equation here: brainly.com/question/13575946
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I observed that if I remove one (or all 8) piece(s) in the corners, and only them without adjacent ones, the total area does not change.
I consider the surface area of a small square as a unit of surface.
First class of solutions:
I removed all eight corners, leaving the total area unchanged.
I removed the central cube of the top surface obtaining an increase of the surface area with four units.
I removed one cube from the middle of an edge at the top (any of the four remaining) and I arrived at a figure with ten cubes less then the original one but with the same surface area.
(There's a lot more solutions here: https://nrich.maths.org/787/solution)
<u>Options</u>
Which statement is true:
a) Jill will make less money if they each work 4 hours.
b) Jill's hourly rate is $3 more than kara's.
c) Kara charges $14 and hour for babysitting two children.
d) Kara's fee for the second child is $5.
Answer:
(D)Kara's fee for the second child is $5.
Step-by-step explanation:
From the table above,
Jill Charges an hourly rate of $11
Kara charges an hourly rate of $9 and an additional $5 charge for more than one child. Therefore, the statement that is true is Option D.
Kara's fee for the second child is $5.
All other options are incorrect.
<u>Check</u>
Option A: In four hours, Jill will make $44 while Kara will make $41
Option B: Jill's hourly rate is $2 more than Kara's, NOT $3.
Option C: Kara charges $9 an hour, NOT $14.
Answer:
So you are given the function, f(x) = 3x - 4. You will plug in the value given and solve and write the answer down in the box.
f(x) = 3x - 4 ---> f(5), f(2), f(1), f(10), and f(-1) value given
f(5) = <u>3(5)</u> - 4
f(5) = <u>15 - 4</u>
f(5) = 11
f(2) = <u>3(2)</u> - 4
f(2) = <u>6 - 4</u>
f(2) = 2
f(1) = <u>3(1)</u> - 4
f(1) = <u>3 - 4</u>
f(1) = -1
f(10) = <u>3(10)</u> - 4
f(10) = <u>30 - 4</u>
f(10) = 26
f(-1) = <u>3(-1)</u> - 4
f(-1) = <u>-3 - 4</u>
f(-1) = -7
*Answers are bolded.*
Hope this helps, thank you :) !!
Answer:
$4.76
Step-by-step explanation:
The cost is $15.24
She gave $20.00
Therefore, you subtract to find the change she would receive.
20-15.24=4.76
This means that she should get $4.76 in change
Hope this was helpful
