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4 years ago

How to Add or Subtract Proper Fractions- Unlike?

1 answer:

7 0

Find the LCM of the denominator then multiply the top with the same number you got to get the denominator and you then add or subtract

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A sparkling-water distributor wants to make up 200 gal of sparkling water to sell for $ 5.00 per gallon. She wishes to mix thre

devlian [24]

The answer will be D

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3 years ago

Read 2 more answers

Which point is on the circle centered at the origin with a radius of 5 units?

Aleonysh [2.5K]

Answer:

(2,√21)

Step-by-step explanation:

The circle centered at the origin has equation:

${x}^{2} + {y}^{2} = 25$

Any point that satisfies this equation lie on this circle.

When x=2, we substitute and solve for y.

${2}^{2} + {y}^{2} = 25 \\ 4 + {y}^{2} = 25 \\ {y}^{2} = 25 - 4 \\ {y}^{2} = 21$

Take square root to get:

$y = \pm \sqrt{21}$

Therefore (2,-√21) and (2,√21) are on this circle.

From the options, (2,√21) is the correct answer

3 0

3 years ago

Read 2 more answers

The point A(-8, 6) is translated using T: (x,y) → (x + 5. y - 4). What is the distance from A to A'?

Vsevolod [243]

Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).

A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.

Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.

</span>√(-3 - (-8))^2 + (2 - 6)^2
√5^2 + (-4)^2
√25 + 16
√41

The distance from A to A' is √41.

8 0

4 years ago

Read 2 more answers

Sam makes $400 per week plus $20 commission on each new cell phone plan she sells. Write an equation and solve it to determine h

Sergio [31]

The equation would be 400+20c per week so if you do that equation, to figure it out 680-400=280 and then you would divide it by 20 and whatever that answer is, in this case it would be 14.

3 0

3 years ago

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A quadrilateral ABCD is shown with the

algol [13]

A Quadrilateral A B C D in which Sides AB and DC are congruent and parallel.

The student has written the following explanation

Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SAS.

The student has also written

angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.

Postulate SAS completely describes the student's proof.

Because if in a quadrilateral one pair of opposite sides are equal and parallel then it is a parallelogram.

6 0

3 years ago