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ryzh [129]
1 year ago
7

How many solutions exist for the given equation? 12x+1=3(4x+1)-2

Mathematics
2 answers:
enyata [817]1 year ago
6 0
I got All Real Numbers (infinite answers); what's your answer choices?
vagabundo [1.1K]1 year ago
3 0
12x+1=3(4x+1)-2
12x=3(4x+1)-3
12x=12x+3-3
12x=12x

there are infinite solutions in that no matter what x is equal to, the equation will always be true (at least I think that's the answer...)
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the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder​
Elina [12.6K]

Answer: Volume of the cylinder​ = 4912\ cm^2

Step-by-step explanation:

Volume of cylinder = Area of base x height

Also, area of cross section = Area of base

Volume of cylinder =  area of cross section x height

Given:  Area of cross section = 614\ cm^2

height = 8 cm

Volume of cylinder = 614 x 8

= 4912 \ cm^2

Hence, the volume of the cylinder​ = 4912\ cm^2

6 0
1 year ago
ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
GalinKa [24]

Answer:

Options (3) and (6)

Step-by-step explanation:

ΔABC is a dilated using a scale factor of \frac{1}{2} to produce image triangle ΔA'B'C'.

Since, dilation is a rigid transformation,

Angles of both the triangles will be unchanged or congruent.

m∠A = m∠A' and m∠B = m∠B'

Since, sides of ΔA'B'C' = \frac{1}{2} of the sides of ΔABC

Area of ΔA'B'C' = \frac{1}{2}(\text{Area of triangle ABC})

Area of ΔABC > Area of ΔA'B'C'

Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.

ΔABC ~ ΔA'B'C'

Therefore, Option (3) and Option (6) are the correct options.

3 0
2 years ago
A pure acid measuring x liters is added to 300 liters of a 20% acidic solution. The concentration of acid, f(x), in the new subs
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Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.

Step-by-step explanation:

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