3 x3 = 9 4 x 3 =12 6 x 2 = 18 3 x
You would solve it by multiplying the sides of the triangle
Answer:
The price of uniform U= $145
price of each pair of cleats C= $16
Step-by-step explanation:
Let:
The Price of Each Uniform = U
The Price of Each Pair of Cleats = C
Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.
→ Equation A
Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.
→ Equation B
Let's calculate → 2(Equation A) - (Equation B)
2(3U+C)-(5U+2C)= 2(451) -757
6U+2C-5U-2C= 145
U=$ 145
3U+C= 451
3(145)+C= 451
C= 451-435
C= $16
Answer:
(a) Two x plus eight is greater than negative four
(b) x > -6; number line would be an open circle at -6 and the line pointing in the positive direction to be shaded
Step-by-step explanation:
(a)
Note first that the inequality sign ">" means "greater than", so 2x + 8 > -4 in written language is:
<em>Two x plus eight </em><em>is greater than</em><em> negative four</em>
<em />
(b)
We solve this just like how we'd solve it if it were 2x + 8 = -4: isolate the variable first.
Subtract 8 from both sides:
2x + 8 - 8 > -4 - 8
2x > -12
Divide by 2:
x > -12/2
x > -6
So, the solution set is all numbers greater than -6.
Drawn on a number line, we would first place an <em>open circle</em> at -6 (because we are using > rather than ≥, which would include the -6 in the solution set). Then, because our solution set includes all numbers greater than -6, we shade in the part of the line that points in the positive direction, so it should include numbers like -5, -4, -3, -2, -1, 0, 1, 2, ... and so on.
Answer:
3 and 2
Step-by-step explanation:
The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )
When 5 is subtracted from both , that is
3x - 5 : 2x - 5 = 2 : 3
Expressing the ratio in fractional form
= 
( cross- multiply )
3(3x - 5) = 2(2x - 5) ← distribute both sides
9x - 15 = 4x - 10 ( subtract 4x from both sides )
5x - 15 = - 10 ( add 15 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Thus the 2 numbers are
3x = 3(1) = 3 and 2x = 2(1) = 2
