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Viefleur [7K]
2 years ago
12

If QR=x+29 and PS=x–16, what is the value of x?

Mathematics
1 answer:
Vinil7 [7]2 years ago
3 0

Answer:

61

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

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The line plot shows the weights of ten eggs laid by one hen. What is the total weight in ounces of the four heaviest eggs?
Likurg_2 [28]
The four heaviest eggs are 2 ounces, 2 ounces, 2 1/4 ounce is, and 2 1/2 ounces. Add these together to total 8 3/4 ounces.

The four heaviest eggs have a sum of 8 3/4 ounces.
8 0
3 years ago
Coach Chapman has 54 students signed up for a jump rope competition. He only has 18 jump ropes. What is the ratio of jump ropes
Andrei [34K]

Answer:

1:3

Step-by-step explanation:

The question is asking what the ratio of jump ropes to students is.

The order of the question matters.

Since they ask for the jump ropes first and then the students, we

get a ratio of 18:54.

Find the GCF (Greatest Common Factor)

The GCF is 18.

Divide 18:54 by 18.

18/18=1

54/18=3

The answer is 1:3.

6 0
3 years ago
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
Two stores carry a similar stereo for the same original price and
HACTEHA [7]

Answer:

Store A gives $17.19 more off then Store B

Step-by-step explanation:

573.00 x 25% = 143.25

573.00-143.25 =429.75 Store A

Store B is 446.94

3 0
3 years ago
Andre and Elena are reading the same book over the 1 summer. Andre says he has read of the book. Elena ! says she has read 20 mo
ddd [48]

Answer: There are 175 pages in the book.

Step-by-step explanation:

If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:

55-20= the pages Andre read

55-20=35

Andre read 35 pages.

If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)

35 x 5= 175

There are 175 pages in the book.

7 0
2 years ago
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