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2 years ago

Find 2 consecutive odd integers such that 3 times the larger is 29 more than 3 times the smaller

1 answer:

4 0

$x,\ x+2-two\ consecutive odd integers\\\\3(x+2)=3x+29\\\\3x+6=3x+29\ \ \ |-3x\\\\6=29\ \ \ FALSE\\\\Answer:\ \text{such numbers do not exist}$

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Drag each figure to show if it is similar to the figure shown or why it is not similar

Margarita [4]

Answer:

Step-by-step explanation:

The given figure is a rectangle having length = 9 yd and width = 3 yd

Now we will check each figure

Figure one- rectangle with length = 18 yd and width = 9 yd

For similarity of both rectangles ratio of length should be equal to ratio of widths.

$\frac{3}{9}\neq\frac{9}{18}$

So rectangles are not similar.

Figure 2- rectangle with length = 3 yd and width = 6 yd

$\frac{9}{3}\neq \frac{3}{6}$

So figures are not similar.

Figure 3 - rectangle with length = 3 yd and width = 1 yd

$\frac{9}{3}=\frac{3}{1}$

Therefore, figures are similar.

Figure 4 -rectangle with length = 8 yd and width = 2 yd

$\frac{3}{2}\neq \frac{9}{8}$

So given rectangles are not similar.

Figure 5 - rectangle with length = 18 yd and width = 6 yd

$\frac{9}{18}=\frac{3}{6}$

So rectangles are similar.

Figure 6 - trapezoid with larger base = 18 yd and height = 6 yd

Since shapes of the given figures are not same so they are not similar.

8 0

2 years ago

Tennis balls are sold in cylindrical cans with the balls stacked one on top of the other. A tennis ball has a diameter of 6.7 cm

andrey2020 [161]

Answer:

629.92 $cm^3$

Step-by-step explanation:

The minimum volume of the can that can hold 4 tennis balls must have at least the same volume as 4 tennis balls.

The volume of one tennis ball, V = $\frac{4}{3}\pi r^3$

where r = radius of the tennis ball

The diameter of a ball = 6.7 cm

Its radius will be = 6.7 / 2 = 3.35 cm

Volume, V, will be:

$V = \frac{4}{3}\pi (3.35)^3$

V = 157.48 $cm^3$

Hence, the volume of 4 balls will be:

4 * V = 4 * 157.48 = 629.92 $cm^3$

The minimum volume that the cylindrical can has to have is 629.92 $cm^3$ .

6 0

2 years ago

Why does the liquid in a thermometer rise on warm days and drop on cold days

abruzzese [7]

Because when the atoms in the liquid are coldthe squeeze altogeter and it makethembgo down and when ther hot the spread out and make them go up

5 0

2 years ago

Which statement describes a ratio?

Mnenie [13.5K]

Answer:

C. For every 2 red candies in a bag, there are 3 green candies.

Step-by-step explanation:

A ratio always contains 2 figures.

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2 years ago

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Function or not a function

Ne4ueva [31]

Answer: Not a function

Step-by-step explanation:

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2 years ago