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vitfil [10]
3 years ago
5

Fill in the blank:5/12 * __ = 1

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

2.4

Step-by-step explanation:

5/12 * _ = 1

0.41666666666 x 2.4 = 1

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Tiffany is packing her bags for her vacation. She has 8 unique toy animals, but only 4 fit in her bag. How many different groups
dalvyx [7]

Answer:

70

Step-by-step explanation:

GIVEN: Tiffany is packing her bags for her vacation. She has 8 unique toy animals, but only 4 fit in her bag.

TO FIND: How many different groups of 4 toy animals can she take.

SOLUTION:

Total unique toy animal Tiffany has =8

Total animal that fit in her bag =4

Now,

Tiffany has to select 4 toy animals from 8 animals.

Number of ways of selecting 4 toy animals =^8C_4

                                                                       =\frac{8!}{4!4!}

                                                                       =70

Hence Tiffany has 70 different ways to select group of 4 unique toys.

4 0
3 years ago
4. An elevator in a tall building starts at a floor of the building that is 90 meters above the ground. It descends 5 meters
Len [333]
The answer should be 60 meters hope this helps
6 0
2 years ago
Holding a ruler upright at arm’s distance (24 in.), Ronnie aligned the bottom of the ruler with a mark on the utility pole that
atroni [7]

Answer:

10 feet

Step-by-step explanation:

Drawing obviously not to scale but... Red segment is the ruler, at least the part between 5 and 6 inches, 1 inch long. Brown segment is the pole, ground to the top. Leftmost point is the eye, green line is the horizontal. The triangles are similar (AAA, the vertical lines are parallel), the ratio of the side is the same as the ratio of the heights. The height of the larger triangle (measured across the green line is

40 yd \times 3\frac{ft}{yd} \times 12\frac{in}{ft}= 1440''.

Ratio of the height is then 1440\div24 = 60.

At this point the height of the pole is 60 times the length of the measure on the ruler, or 60 inches, that is 5 feet. Add the 5 feet the pole was starting from, it's 10 feet.

4 0
2 years ago
Which table represents a function?<br> HURRY PLEASE!!!
Likurg_2 [28]

Answer:

The first table

Step-by-step explanation:

A function can only have one corresponding y coordinate per x coordinate

4 0
3 years ago
Which of the following is equivalent to the polynomial below?
Gnoma [55]

Answer:

(x-(4+\sqrt{3}i))(x-(4-\sqrt{3}i))

Step-by-step explanation:

Consider the quadratic expression

x^2-8x+19

First, find its discriminant:

D=(-8)^2-4\cdot 1\cdot 19=64-76=-12

Note that i^2=-1, then D=12i^2.

Use quadratic formula to find the roots:

x_{1,2}=\dfrac{-(-8)\pm \sqrt{12i^2}}{2\cdot 1}=\dfrac{8\pm 2\sqrt{3} i}{2}=4\pm \sqrt{3}i

Now, given quadratic expression is equivalent to

(x-(4+\sqrt{3}i))(x-(4-\sqrt{3}i))\\ \\=(x-4-\sqrt{3}i)(x-4+\sqrt{3}i)

6 0
3 years ago
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