–8x + 9y = 23
B.
–8x + 9y = –23
C.
–8x + 7y = 25
D.
–9x + 8y = –23
Answer : The correct option is, (A) -8x + 9y = 23
Step-by-step explanation :
The general form for the formation of a linear equation is:
.............(1)
where,
x and y are the coordinates of x-axis and y-axis respectively.
m is slope of line.
First we have to calculate the slope of line.
Formula used :
Here,
and
Now put the value of slope in equation 1, we get the linear equation.
From the given options we conclude that the option A is an equation of the given line in standard form.
Hence, the correct option is, (A) -8x + 9y = 23
12 ft
2 ft
3 ft
let small notebook = s, large notebook = b
Set the system of equations:
54 = 8s + 10b
s + b = 6
First, solve for b. Isolate the s.
s = 6 - b
Plug in 6 - b for s
54 = 8(6 - b) + 10b
Distribute 8 to all terms within the parenthesis
54 = 48 - 8b + 10b
Simplify
54 = 48 + 2b
Isolate the b. Note the equal sign. What you do to one side, you do to the other. Subtract 48 from both sides
54 (-48) = 48 (-48) + 2b
6 = 2b
Divide
6/2 = 2b/2
b = 6/2
b = 3
----------------------------------------------------------------------------------------------------------------
Plug in b for 3 in one of the equations.
s + b = 6
s + 3 = 6
Isolate the s. Subtract 3 from both sides
s + 3 (-3) = 6 (-3)
s = 6 - 3
s = 3
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small notebook = 3, large notebook = 3
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hope this helps
Hi AlexBombela10,
Your Question:
A store sells small notebooks for $8 and large notebooks for $10. If a student buys 6 notebooks and spends $54, how many of each size did he buy?
Solution:
54 - 8 = 46
46 - 8 = 38
38 - 8 = 30
30 - 10 = 20
20 - 10 = 10
10 - 10 = 0
Final Answer:
He bought 3 small notebooks
He bough 3 large notebooks
Hope This Helps!
The volume of the rectangular solid is 105 cubic units. A rectangular solid is a three-dimensional shape with six rectangular faces.
To calculate its volume, we use the formula:
Volume (V) = Length (l) × Width (w) × Height (h)
To find the volume of the rectangular solid (rectangular prism) with dimensions of length = 5 units, width = 3 units, and height = 7 units, we can use the formula:
Volume (V) = Length (l) * Width (w) * Height (h)
V = 5 * 3 * 7
V = 105 cubic units
The units are multiplied together since volume is a measure of three dimensions (length × width × height). In this case, the units are given in "units," so the final volume is expressed in "cubic units."
So, the volume of the rectangular solid is 105 cubic units.
To know more about volume:
#SPJ2
Volume = lwh
Volume = 5×3×7
Volume = 105cube
what was the cost per liter of paint.
we know that
Unit Rate is the ratio of two measurements in which the second term is
we have
so
Corey bought of paint for
by proportion
Find the cost of one liter of paint
therefore
the answer is
the cost per liter of the paint is equal to