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vivado [14]
3 years ago
15

Rectangle x measures 7cm by (x+1)cm. Rectangle B has dimensions of (3x+6)cm and 4cm. The area of rectangle X is half the area of

rectangle Y. Calculate the lengths of the sides of the rectangles, and hence, their areas.
Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
Lengthxwidth=area and rectangle Y/B is twice as big as X so 

7(x+1)=1/2(4)(3x+6)
7x+7=1/2(12x+24)
x=5

Rectangle X=7(5+1)=42
Rectangle Y=4(3*5+6)=84

84 is twice as big as 42 :D
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If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?
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Step-by-step explanation:

there are 13 cards per 4 suits, totalling 52 cards in an entire deck

13 represents an entire 1 suit out of 52 cards

13/52 = 0.25

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3 years ago
If George is 33 1/3% richer than Pete, than Pete is what percent poorer than George?
OleMash [197]

Answer:

25%

Step-by-step explanation:

George is 33\frac{1}{3}% (\frac{100}{3}%) richer than Pete. Let Pete's percentage of wealth be 100%.

Thus George percentage of wealth = 100% + \frac{100}{3}%

                                                           = \frac{400}{3}%

                                                           = 133\frac{1}{3}%

Pete's percent poorer than George can be determined by;

                                                           = (\frac{100}{3}) ÷ (\frac{400}{3} ) × 100

                                                           = (\frac{100}{3}) × \frac{3}{400} ×100

                                                           = 0.25 × 100

                                                           = 25%

Pete is 25% poorer than George.

3 0
3 years ago
Write the formula for the area of a triangle, A, where b is the base and h is the height of the triangle. Don’t include parenthe
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Answer:

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Step-by-step explanation:

4 0
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See attached graph

Step-by-step explanation:

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3 years ago
A salesman who makes $32,500 a year gets promoted to sales manager, earning a new salary of $43,250. What was the rate of increa
OLEGan [10]

Answer:

33.1%

Step-by-step explanation:

First, calculate the dollar amount of the increase.  Subtract $32,500 from $43,250.  We get $10,750.

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