Answer:
Width equals 11, and length equals 12.
Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.
Let's use the "elimination by addition/subtraction" method to solve this system for x and y.
<span> -8x=72-16y
4x=-92+16y <= Mult. all 3 terms by 2: 8x = - 184 + 32y
Now combine the following, column by column:
</span><span> -8x= 72-16y
</span>8x = - 184 + 32y
-----------------------
0 = -112 + 16y. Solving for y, 16y = 112, and y = 7.
Now subst. 7 for y in either of the original equations and calculate x:
<span>4x=-92+16(7) => 4x = -92 + 112 = 20. Then x = 5.
Solution is 5, -7 (or, better written) (5, - 7).</span>
450/3 = x.
150 = x.
So x = 150.
This means 45 is 30% of 150
Answer:
A.
3x + 3y = 0
7x − y = 8
Step-by-step explanation:
Given
3x + 3y = 0
-4x + 4y = -8
Required
Find the equivalent
To solve for the equivalent we simply solve for x and y in the given equation.
Subtract 3x from both sides in 3x + 3y = 0
3x - 3x + 3y = 0 - 3x
3y = -3x
Multiply both sides by ⅓
⅓ * 3y = -3x * ⅓
y = -x
Substitute -x for y in -4x + 4y = -8
-4x + 4(-x) = -8
-4x -4x = -8
-8x = -8
Multiply both sides by -⅛
-⅛ * -8x = -⅛ * -8
x = 1
Recall that y = -x
y = -1
So, we have that x = 1 and y = -1
We'll substitute these values in the list of options;
A.
3x + 3y = 0
7x − y = 8
7(1) - -(1) = 8
7 + 1 = 8 ----- This is equivalent
B.
3x + 3y = 0
−7x − y = 8
-7(1) - (-1) = 8
-7 + 1 = 8
-6 ≠ 8 .... This is not an equivalent expression
C.
3x + 3y = 0
−7x + 7y = 8
-7(1) + 7(-1) = 8
-7 -7 = 8
-14 ≠ 8 .... This is also not an equivalent expression
D.
3x + 3y = 0
-4x + 7y = 8
-4(1) + 7(-1) = 8
-4 -7 = 8
-11 ≠ 8 -_- This is also not an equivalent expression
Answer:
Oddly, though, the snake was cut into eight pieces, rather than 13. The head of the snake was labeled “N.E.,” signifying the four New England colonies of New Hampshire, Massachusetts, Connecticut and Rhode Island, which Franklin combined to emphasize the importance of unity. Other pieces were marked to signify New York, New Jersey, Pennsylvania, Maryland, Virginia, North Carolina, and South Carolina. Delaware, which shared a governor with Pennsylvania, and Georgia, a newer colony that Franklin didn’t think could contribute much to colonial defense, were left out.
Franklin’s cartoon had another advantage. “Literacy was not high in that day,” Dewey notes, so the drawing and its message provided a way to reach colonists who might not have been able to read his editorial.
Franklin published the image with a specific political objective in mind. At the time, he was preparing to join other colonial leaders at the Albany Congress, a meeting called to discuss how they should deal with the growing military threat from the French and their Native American allies. Franklin thought that the colonies needed to join together in a strong alliance. He proposed a unified colonial government that could levy taxes and form a military, governed by a council of representatives from each of the colonies and headed by a President General appointed by the British monarch.
Step-by-step explanation:
