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guajiro [1.7K]
3 years ago
15

All of the following are equivalent, except _____.

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0
The correct answer would be b) (12 + 3x)x
8_murik_8 [283]3 years ago
5 0
All are equivalent except for b - because 12 * x = 12x but 3x * x becomes 3x^2. <span />
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A jar containing only dimes and quarters contains a total of 54 coins. The value of all the coins in the jar is $9.15. Solve by
Paladinen [302]

Answer: the jar contains 29 dimes and 25 quarters.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a quarters is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of dimes contained in the jar.

Let y represent the number of quarters contained in the jar.

A jar containing only dimes and quarters contains a total of 54 coins.. This means that

x + y = 54

The value of all the coins in the jar is $9.15. This means that

0.1x + 0.25y = 9.15 - - - - - - - - - - - 1

Substituting x = 54 - y into equation 1, it becomes

0.1(54 - y) + 0.25y = 9.15

5.4 - 0.1y + 0.25y = 9.15

- 0.1y + 0.25y = 9.15 - 5.4

0.15y = 3.75

y = 3.75/0.15 = 25

x = 54 - y = 54 - 25

x = 29

7 0
3 years ago
What is the value of the underlined digits? 588_7, 6.409_7, 8.41_3, _0,184,843
irga5000 [103]
The first on is the tenth place
the second one is  the tenth place
the third one is the tenth place
the last one is the millionth place
 
hope i helped :) i might be wrong though


3 0
3 years ago
Read 2 more answers
On the circle below, tangent line BC¯¯¯¯¯ is constructed by striking an arc from point D that intersects circle A at point B. Th
weqwewe [10]

Answer:

\huge\boxed{BD = 12\ units}

Step-by-step explanation:

If AB = 5 , then AE = 5 [Radii of the same circle]

So,

AC = AE + EC

AC = 8+5

AC = 13 units

Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

c^2=a^2+b^2

Where c = AC , a = BD and b = AB

13^2 = BD^2+5^2

169 = BD² + 25

Subtracting 25 to both sides

169 - 25 = BD²

BD² = 144

Taking square root on both sides

BD = 12 units

5 0
3 years ago
Please help me I have no idea how to solve!
irinina [24]

Step-by-step explanation:

It says add across to the right and add  down bottom

                                                                                  Add across

                               3x                              2x^2                 3x +2x^2

                               x^2                              5x                    x^2 + 5x

Add down            3x + x^2                        2x^2 +5x            3x^2 +8x

3 0
3 years ago
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
Reil [10]

Answer:

Answer:

quadrilateral 1 and quadrilateral 2 NOT CONGRUENT

quadrilateral 1 and quadrilateral 3 CONGRUENT

quadrilateral 1 and quadrilateral 4 CONGRUENT

quadrilateral 2 and quadrilateral 3 NOT CONGRUENT

quadrilateral 2 and quadrilateral 4 NOT CONGRUENT

quadrilateral 3 and quadrilateral 4 CONGRUENT

Step-by-step explanation:

quadrilateral 1 and quadrilateral 2 NOT CONGRUENT

quadrilateral 1 and quadrilateral 3 CONGRUENT:

rigid motion: reflection

axis of reflection: y=x

quadrilateral 1 and quadrilateral 4 CONGRUENT:

rigid motions: translation and reflection

axis of reflection y=0

quadrilateral 2 and quadrilateral 3 NOT CONGRUENT

quadrilateral 2 and quadrilateral 4 NOT CONGRUENT

quadrilateral 3 and quadrilateral 4 CONGRUENT:

rigid motions: translation and reflection

axis of reflection: x=0

4 0
2 years ago
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