Answer: -5.6
Step-by-step explanation:
Simplifying
(4x + -28) = 9x
Reorder the terms:
(-28 + 4x) = 9x
Remove parenthesis around (-28 + 4x)
-28 + 4x = 9x
Solving
-28 + 4x = 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
-28 + 4x + -9x = 9x + -9x
Combine like terms: 4x + -9x = -5x
-28 + -5x = 9x + -9x
Combine like terms: 9x + -9x = 0
-28 + -5x = 0
Add '28' to each side of the equation.
-28 + 28 + -5x = 0 + 28
Combine like terms: -28 + 28 = 0
0 + -5x = 0 + 28
-5x = 0 + 28
Combine like terms: 0 + 28 = 28
-5x = 28
Divide each side by '-5'.
x = -5.6
Simplifying
x = -5.6
Answer:
- 494
Step-by-step explanation:
Breaking down the summation into it;s component parts
= 4k - 
k(k + 1) ← substitute k = 19
= (4 × 19 ) - 1.5 × (19 × 20)
= 76 - (1.5 × 380)
= 76 - 570
= 494
Answer:
Style A shoes sold : <u>152</u>
Style B shoes sold : <u>88</u>
Step-by-step explanation:
Let :
- Style A shoes = x
- Style B shoes = y
Forming equations :
- x = 2y - 24
- 66.95x + 84.95y = 17,652
Substitute the value of x from 1 in 2.
- 66.95 (2y - 24) + 84.95y = 17,652
- 133.90y - 1606.80 + 84.95y = 17,652
- 218.85y = 19258.80
- <u>y = 88</u>
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Finding x :
- x = 2(88) - 24
- x = 176 - 24
- <u>x = 152</u>
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Solution :
- Style A shoes sold : <u>152</u>
- Style B shoes sold : <u>88</u>
Answer:
A.1/12
Step-by-step explanation:
Probability of the card being yellow is 1/4
And probability of the card being even is 1/3
And if you are asked to find a yellow even card we multiply those two numbers to get 1/12
4 more than 4 times x is 45 the answer will be x=41/4
