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3 years ago

2.16 (the 6 is repeating) as a fraction (no improper fractions)

Mathematics

1 answer:

serg [7]3 years ago

6 0

Answer:

2 4/25

Step-by-step explanation:

First, I made the decimal into 2 16/100. Then, keep simplifying the 16/100 until it is fully simplified.

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During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by

Alja [10]

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

$s = 10|x - 4| + 50$

Required

Solve for x when s = 80

Substitute 80 for x

$80 = 10|x - 4| + 50$

Subtract 50 from both sides

$80 - 50= 10|x - 4| + 50 - 50$

$30= 10|x - 4|$

Divide through by 10

$\frac{30}{10}= \frac{10|x - 4| }{10}$

$3= |x - 4|$

Reorder

$|x - 4| = 3$

This can be split into

$x - 4 = 3$ or $x - 4 = -3$

Solve for x

$x = 4 + 3$ or $x = 4 - 3$

$x = 7$ or $x = 1$

Hence:

<em>The numbers of measure of music played are 1 and 7</em>

4 0

3 years ago

Help me solve this please

Semenov [28]

$\huge\underline{ \underline{ \bf{Answer࿐} }}$

parallel sides measure :

10 ft -(a)
12 ft. -(b)

Area :

44 ft²

height (h) = x

___________________

$\boxed{Area = \frac{1}{2} \times (a + b) \times h}$

$\dfrac{1}{2} \times (10 + 12) \times x = 44$

$\dfrac{1}{2} \times 22 \times x = 44$

$11x = 44$

$\boxed{ 4 \: \: ft}$

Therefore, height of Trapezoid is 4 ft

_____________________________

$\mathrm{ \#TeeNForeveR}$

5 0

3 years ago

A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose sev

Julli [10]

Answer:

1716 ;

700 ;

1715 ;

658 ;

1254 ;

792

Step-by-step explanation:

Given that :

Number of members (n) = 13

a. How many ways can a group of seven be chosen to work on a project?

13C7:

Recall :

nCr = n! ÷ (n-r)! r!

13C7 = 13! ÷ (13 - 7)!7!

= 13! ÷ 6! 7!

(13*12*11*10*9*8*7!) ÷ 7! (6*5*4*3*2*1)

1235520 / 720

= 1716

b. Suppose seven team members are women and six are men.

Men = 6 ; women = 7

(i) How many groups of seven can be chosen that contain four women and three men?

(7C4) * (6C3)

Using calculator :

7C4 = 35

6C3 = 20

(35 * 20) = 700

(ii) How many groups of seven can be chosen that contain at least one man?

13C7 - 7C7

7C7 = only women

13C7 = 1716

7C7 = 1

1716 - 1 = 1715

(iii) How many groups of seven can be chosen that contain at most three women?

(6C4 * 7C3) + (6C5 * 7C2) + (6C6 * 7C1)

Using calculator :

(15 * 35) + (6 * 21) + (1 * 7)

525 + 126 + 7

= 658

c. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?

(First in second out) + (second in first out) + (both out)

13 - 2 = 11

11C6 + 11C6 + 11C7

Using calculator :

462 + 462 + 330

= 1254

d. Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project?

Number of ways with both in the group = 11C5

Number of ways with both out of the group = 11C7

11C5 + 11C7

462 + 330

= 792

8 0

3 years ago

What is the volume of this sphere?

aev [14]

Answer:

choice 3) 11,488.21 cm³

Step-by-step explanation:

r= 28/2 = 14

volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³

5 0

3 years ago

Pete sells a Party Pleaser pizza. He uses 12 oz of cheddar cheese and twice that amount of mozzarella cheese. How much cheese do

lisov135 [29]

Answer:

36oz

Step-by-step explanation:

12x2=24

24+12=36

4 0

3 years ago