1500 + 0.45x < 1.70x
1500 < 1.70x - 0.45x
1500 < 1.25x
1500/1.25 < x
1200 < x.....so she would have to sell 1201 cards to make a profit
easy
5% is .05 two decimals to the left
55 x .05 = 2.75
$2.75 is your sales tax
55+2.75=$57.75
2.5y + 3x = 27
5x - 2.5y = 5
Align the variables to make solving this easier.
2.5y + 3x = 27
-2.5y + 5x = 5
You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.
3x = 27
5x = 5
8x = 32
Divide both sides by 8.
x = 4
Now input that x into one of the equations to get y.
2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6
The answer to this system of equations is x = 4, y = 6. (4, 6)
Black Wall Street, former byname of the Greenwood neighbourhood in Tulsa, Oklahoma, where in the early 20th century African Americans had created a self-sufficient prosperous business district. ... Black businesses clustered on the strip of land that would become Greenwood in 1905, when African Americans acquired the land.
The definition of the interior angles of a triangle states that interior angles of a triangle add up to 180º.
This means we can find the measure of <CED:
<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º
By the definition of vertical angles states that a pair of vertical angles are congruent.
This means <CED = <AEB
If <CED = 102º
Then <AEB = 102º
By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º
<AEB = 102º
<EBA = 18º
102º + 18º + <BAE(<A) = 180º
<BAE = 180º - 102º - 18º
<BAE = 60º
<BAE is another way to say <A
<span>m∠A = 60º</span>