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4 years ago

Kim, Laura and Molly share £385

1 answer:

5 0

Set x equal to the amount of money Kim gets, and y for Molly's money.

x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.

Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.

70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.

140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).

Thus, Laura receives about 36.4% of the total money. Hope this helps (:

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Kisachek [45]

Since someone answered wrongly I'll try to give the correct answer without the given xs. It won't matter. We're looking for a set of points which satisfy

y = f(x) = x² + 3

A. f(7)=7² + 3 = 52, not -2, so not A.

B. f(-2)=(-2)² + 3 = 7, not 1, so not B

C. f(-2)=7, that's good so far.

f(-2)=(-1)²+3=1+3=4, good

f(0) = 0²+3 = 3, good

f(1)=1²+3 = 4, good

f(2) = 2²+3 = 7, good

Answer: C

We'll rule out D. f(1)=1²+3=4, not -2, so not D.

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3 years ago

The cost of dinner for 5 friends was $75, plus a $15 tip. If the cost of the meal and tip was split eqaully among the friends, h

stiv31 [10]

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3 years ago

Drag the tiles to the correct boxes to complete the pairs.

Tatiana [17]

Answer:

a 90° clockwise rotation about the origin

a 180° rotation about the origin

a 90° counterclockwise rotation about the origin

Step-by-step explanation:

Transformations are done on a Cartesian Plane, which is the grid with four quadrants. (See picture) Each quadrant is 90°, so two quadrants is 180°.

When you rotate counterclockwise it is like in the picture. When you want to rotate clockwise, it's the other way.

When we rotate 180°, it does not matter if it is counterclockwise or clockwise because the result is the same (both move two quadrants).

We can imagine an example to help us solve the problem. Let's say we are rotating an object starting in first quadrant. (Upper right quadrant).

Find out which quadrant the object ends up with each instruction:

FROM THE PICTURE:

"a 90° counterclockwise rotation about the origin (Q2) and then a 180° rotation about the origin"

End: Quadrant 4

"a reflection across the x-axis (Q4) and then a reflection across the y-axis"

End: Quadrant 3

"a 90° clockwise rotation about the origin (Q4) and then a rotation 180° about the origin"

End: Quadrant 2

FROM YOUR LIST:

"a 90° counterclockwise rotation about the origin " Quadrant 2

"a 180° rotation about the origin " Quadrant 3

"a 90° clockwise rotation about the origin" Quadrant 4

Match each ending quadrant from your list with the same ending quadrant from the picture.

The order that you should put your list into the boxes is:

a 90° clockwise rotation about the origin

a 180° rotation about the origin

a 90° counterclockwise rotation about the origin

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Ludmilka [50]

Answer:

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sladkih [1.3K]

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3 years ago