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2 years ago

This data set represents the number of cups of coffee sold in a caf_ between 8 a.m. and 10 a.m. every day for 14 days.

1 answer:

5 0

Put numbers in order: 4,5,6,6,7,8,9,9,10,10,12,12,14,15

Cut the list into two equal parts: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Find middle numbers: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15

Lower quartile: 6
Upper quartile: 12

The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6

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the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang

yKpoI14uk [10]

Given:

The width of a rectangle is x centimeters and its length is (x+ 2) cm.

To find:

The expression for the perimeter of the rectangle.

Solution:

We know that, perimeter of a rectangle is

$Perimeter=2(Length+Width)$

We have,

Width = x cm

Length = (x+2) cm

Putting these values in the above formula, we get

$Perimeter=2((x+2)+x)$

$Perimeter=2(2x+2)$

$Perimeter=2(2x)+2(2)$

$Perimeter=4x+4$

Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.

6 0

2 years ago

Explain how showing fractions with models and a number line are alike and different?

Otrada [13]

Showing fractions can be expressed in model and number line.
Using a model, you have to draw the number of parts (denominator) and shade the number of parts (numerator).

Using a number line, the line starts from 0 to the number of the denominator. You put a marker to the number that is the same as the numerator.

Both model and number line use the value of the numerator and denominator. What makes them different is how they are presented. Model can easily be understood compared to number line.

5 0

2 years ago

Help me guys thx so much

navik [9.2K]

Answer:

Option D, $10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

Step-by-step explanation:

Step 1: Multiply

$(\sqrt{10x^4} -x\sqrt{5x^2} )*(2\sqrt{15x^4} + \sqrt{3x^3})\\ (\sqrt{10 * x^2 * x^2} -x\sqrt{5 * x^2} ) * (2\sqrt{15 * x^2 * x^2} +\sqrt{3 * x^2 * x})\\(x^2\sqrt{10} -x^2\sqrt{5} )*(2x^2\sqrt{15} +x\sqrt{3x}) \\\\$

$(x^2\sqrt{10}*2x^2\sqrt{15} )+(x^2\sqrt{10}*x\sqrt{3x} ) + (-x^2\sqrt{5} *2x^2\sqrt{15}) + (-x^2\sqrt{5} *x\sqrt{3x}$

$(2x^4\sqrt{150} ) + (x^3\sqrt{30x}) + (-2x^4\sqrt{75}) + (-x^3\sqrt{15x} )$

$2x^4\sqrt{5^2*6} + x^3\sqrt{30x} -2x^4\sqrt{5^2*3} -x^3\sqrt{15x}$

$10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

Answer: Option D, $10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}$

6 0

3 years ago

Read 2 more answers

Mrs. Davis went to a produce market to buy bananas and strawberries. She spent $8.00. If the bananas were $0.50 per pound, and t

9966 [12]

9514 1404 393

Answer:

4 pounds

Step-by-step explanation:

Let b represent the pounds of bananas Mrs. Davis bought. The weight of strawberries would be (7-b) and their cost would be 4×0.50 = 2.00 per pound. Her total purchase was ...

0.50b + 2.00(7 -b) = 8.00

-1.50b +14 = 8 . . . . simplify

6 = 1.50b . . . . . . add 1.50b -8

4 = b . . . . . . . . divide by 1.50

Mrs. Davis bought 4 pounds of bananas.

7 0

2 years ago

What's the answer ? <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B450%20%5Cdiv%202%7D%20" id="TexFormula1" title=" \sqrt

sdas [7]

Answer:

15.

Step-by-step explanation:

450 / 2 = 225.

225= 3 * 3 * 5 * 5

So √225 = 3 * 5 = 15.

3 0

2 years ago

Read 2 more answers