4x^2 + 8x + 12
Equivalent forms: x^2 + 2x + 3 and 8x^2 + 16x + 24.
The first equivalent form was created by dividing each term by 2, and the second equivalent form was created by multiplying each term by 2.
What percent of 150=6
X/100 * 150=6
/150. /150
X/100=0.04
X/100 *100/1 =0.04* 100/1
X=4
4% of 150=6
That means that for every dollar they take 4 cents from each dollar
150*4 pennies would equal 600 pennies or 6$ or 6.00
Hope this helps!
The measure of the angle ∠ABD is 64 degrees
<h3>How to determine the measure of the angle?</h3>
From the question, we have the following parameters:
Ray BA bisects ∠CBD
∠CBD = 5x + 18
∠ABC = 3x - 2
Because of the bisection, we have
∠ABC = ∠ABD
∠ABC * 2 = ∠CBD
Substitute the known values in the above equation, so, we have the following representation
(3x - 2) * 2 = 5x + 18
Open the brackets
6x - 4 = 5x + 18
Evaluate the like terms
x = 2
Recall that
∠ABC = ∠ABD
So, we have
∠ABD = 3x - 2
This gives
∠ABD = 3 x 22 - 2
Evaluate
∠ABD = 64
Hence, the angle is 64 degrees
Read more about angles at
brainly.com/question/7620723
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Let Q1 and Q2 be the quotients from dividing 32 and 58 respectively.Then 32 Q1 + 30 = 58 Q2 + 4432 Q1 = 58 Q2 + 1416 Q1 = 29 Q2 + 716 Q1 = (16 + 13)Q2 + 716 Q1 = 16 Q2 + 13 Q2 + 716(Q1 - Q2) = 13 Q2 + 7Because Q1 and Q2 are integers, we have to find Q2 whereby 13Q2 + 7 is divisible by 16.After some try-and-error, we get Q2 = 13. That is 13*13 + 7 = 176Therefore, Q1 - Q2 = 11 --> Q1 - 13 = 11 --> Q1 = 2432*24 + 30 = 58*13 + 44 = 798.I am 798
Answer:
B, 9
Step-by-step explanation:
Let g represent the number of glass items. Then the number of plastic items is (9g -30). If 85% of items are plastic, then 100%-85% = 15% of items are glass. The ratio of plastic to glass is ...
85%/15% = (9g -30)/g
17/3 = 9 -30/g . . . . simplify
30/g = 9 -17/3 = 10/3 . . . . . . add 30/g -17/3
g = 30(3/10) = 9 . . . . . . . . . . multiply by 3g/10
There are 9 glass items.
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<em>Additional comment</em>
The number of plastic items is 9(9) -30 = 51, and the total number of items is 51+9 = 60. The percentage of plastic items is 51/60 = 85%.
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There are many other ways the equation(s) could be written, including using a system of two equations. For example ...
- p = 9g -30
- p/(p+g) = 0.85 . . . . . plastic is 85% of the total
