1/4 +5/12

I need the answer quickly

Answers

Answer 1
Answer:

Answer:

1/4 = 3/12

3/12 + 5/12 = 8/12

8/12 = 4/6 = 2/3

Step-by-step explanation:


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If 2x+z=2y and 2x+2y+z=20 what is the value of y?

Answers

2x+z=2y\to2x=2y-z\n\nsubstitute\ to\ 2x+2y+z=20:\n\n(2y-z)+2y+z=20\n2y-z+2y+z=20\n4y=20\ \ \ \ /:4\ny=5\to answer

The value of y is 5

Given,

2x+z=2y

2x+2y+z=20

Now,

From equation substitute the value of 2x,

2x = 2y -z

substitute the value in second equation,

2y -z + 2y + z = 20

Now solve the terms with like variables,

4y = 20

y = 5

Know more about equations,

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Given: 5 > x + 7. what is the solution set

Answers

To answer the problem, transpose all the constants and the variables to the opposite side of the inequality. The operation results to,
                                         5 - 7 > x
Solving for x gives, 
                                         x < -2
Thus, the solution set for this item is x such that x is less than -2.

Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes. The regular price of each pair of shoes was $49.99. How much did Ellie pay for the two pairs of shoes, excluding tax?

Answers

Answer:

89.98

Step-by-step explanation:

49.99 x 20% = 9.998

So, 20% of 49.99 is 10.

49.99 - 10 = 39.99 To get the Total of the discounted item.

49.99 + 39.99 = 89.98 Add final totals to get answer

The cubic parent function y=x^3 contains the point (2,8). If the function reflected over the x-axis and shifted right 6 units, what are the coordinates of the new point

Answers

Answer:

The new coordinate are (8,-8)

Step-by-step explanation:

Whenever a graph is reflected about the x-axis, positive y values become negative and vice versa. In this case positive y(8) becomes negative (-8). While the x values remain unchanged.

So the coordinates when moving by one unit will be (2,-8)

Shifting it 6units to the right increases the x values by six to give the new coordinates which is (8,-8)

Ethan stands 256 cm at point C from a lamp post AB. He is 180 cm tall and his shadow from the lamp is 144 cm long. Find the height AB, in metres, of the lamp post.

Answers

Answer:500 cm

Step-by-step explanation:

Given

height of ethan = 180 cm

length of shadow =144 cm

Distance of ethan from lamp =256 cm

from diagram, we can write

\Rightarrow tan \theta =(FC)/(EC)\quad \ldots(i)

\Rightarrow \tan \theta =(AB)/(BE)\quad \ldots (ii)

From (i)  and (ii)  we get

\tan \theta =(FC)/(EC)=(AB)/(BE)

\Rightarrow (180)/(144)=(h)/(144+256)

\Rightarrow h=(180)/(144)* 400

\Rightarrow h=500\ cm

So, height of lamp post AB is 500\ cm

Angelica had two jobs last year, and she received two W-2 forms. On the first W-2 form, the figure in box 1 was $13,638.26, while on the second W-2 form, the figure in box 1 was $8791.42. What was Angelica's gross income from the two jobs last year?A.$11,214.84
B.$5607.42
C.$4846.84
D.$22,429.68

Answers

Angelica's gross income from the two jobs for the last year is $22,429.68. 

You would get this by adding $13,638.26 + $8,791.42 = $22,429.68. 

The correct answer is D. 

Answer:

Angelica's gross income from the two jobs last year is $22,429.68

Step-by-step explanation:

Angelica had two jobs last year, and she received two W-2 forms.

On the first W-2 form, the figure in box 1 was $13,638.26,

while on the second W-2 form, the figure in box 1 was $8791.42.

Income from first job is $13,638.26

Income from second job is $8791.42

Total income = first job income + second job income

=13638.26 + 8791.42 = 22,429.68

Angelica's gross income from the two jobs last year is $22,429.68