Answer:
3x +4y = 118
5x+6y =180
y= $25
Step-by-step explanation:
Let x = the cost of a flashlight
Let y = the cost of a sleeping bag
3x +4y = 118
5x+6y =180
Multiply the first equation by -5
-5(3x +4y) = -5*118
-15x -20y = -590
Multiply the second equation by 3
3(5x+6y) =3*180
15x + 18y = 540
Add the modified equations together.
We are using elimination to eliminate the variable x
-15x -20y = -590
15x + 18y = 540
----------------------------
-2y = -50
Divide by -2
-2y/-2 = -50/-2
y =25
Each sleeping bag costs $25
Answer:
4p + 2
Step-by-step explanation:
(6p + 3) - (2p + 1)
Distribute the minus sign
6p +3 -2p -1
4p +2
Answer:
B
Step-by-step explanation:
it is B because i dont know how to explain it but just look at it very closely and then look back
6. Answer:
72.84
Step-by-step explanation:
To find the perimeter of the rectangle, just add the sides together except the one connected to the semicircle
12 + 15 + 15 = 42
The diameter of the semi circle is 12
πr + d = 6 * π + 12 ≈ 30.84
Add them together
42 + 30.85 = 72.84
7. Answer:
78.54
(78.5)
Step-by-step explanation:
The shape is a circle
Radius is 5
Diameter is 10 (diameter is always double of the radius)
π * r^2 = π * 25 cm^2 = 78.54 cm^2
8. Answer:
50.27
Step-by-step explanation:
The shape is a circle
Radius is 4
Diameter is 8 (diameter is always double of the radius)
π * r^2 = π * 16 ft^2 = 50.27 ft^2
(16 = 8 * 2)
Hey there!
In order to solve this problem, you'll look at (x⁴)(3x³ – 2) first. You need to multiply 4x by both numbers in the binomial to get the distributed version that you'll use later on.
(x⁴)(3x³) = 3x⁷
(x⁴)(–2) = –2x⁴
Now, your problem is (3x⁷ – 2x⁴)(4x² <span>+ 5x). You will complete the distributing by multiplying the first term of the first binomial by both terms of the second binomial, then repeating this with the second term. You'll then want to add or subtract any repeated terms to combine them, if applicable. Remember that to multiply exponents together, all you need to do is add the numbers. x is the same as x</span>¹.<span>
</span>(3x⁷)(4x²) = 12x⁹
(3x⁷)(5x) = 15x⁸
(–2x⁴)(4x²) = –8x⁶
(–2x⁴)(5x) = –10x⁵
So, your final expanded product will be (12x⁹ + 15x⁸ – 8x⁶ – 10x⁵). Your answer should be letter A. Hope this helped you out! :-)
