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3 years ago

8

A company's board of directors wants to form a committee of 2 of its members. There are 8 members to choose from. How many diffe

rent committees of 2 members could possibly be formed?

1 answer:

irga5000 [103]3 years ago

6 0

Answer:

105 different committees can be formed.

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Which of the following statements are true? Select all that apply.

Tom [10]

Answer: The statements in options 2 and 4 are true.

Explanation:

The LCM of two numbers is the smallest number that is multiple of both numbers.

The factor of 8 and 12 are,

$8=2\times 2\times 2$

$12=2\times 2\times 3$

Since 2 and 2 are common in both but 2 and 3 are not same, therefore the L.C.M. of 8 and 12 is,

$L.C.M.(8,12)=2\times 2\times 2\times 3=24$

Therefore the statement in option 1 is incorrect.

The factor of 6 and 9 are,

$6=2\times 3$

$9=3\times 3$

Since 3 is common in both but 2 and 3 are not same, therefore the L.C.M. of 6 and 9 is,

$L.C.M.(6,9)=2\times 3\times 3=18$

Therefore the statement in option 2 is correct.

The factor of 11 and 4 are,

$11=1\times 11$

$4=2\times 2$

Since all factor are different, therefore the L.C.M. of 11 and 4 is,

$L.C.M.(11,4)=1\times 11\times 2\times 2=44$

Therefore the statement in option 3 is incorrect.

The factor of 9 and 10 are,

$9=1\times 9$

$10=2\times 5$

Since all factor are different, therefore the L.C.M. of 9 and 10 is,

$L.C.M.(9,10)=1\times 9\times 2\times 5=90$

Therefore the statement in option 4 is correct.

4 0

3 years ago

Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he save $5. On Saturday, Rob earned $33 babysitting.

LuckyWell [14K]

Answer:

15

Step-by-step explanation:

if every $11 dollars he save $5, and sense he made $33 ( he done three babysitting)

11-5= 5 (does that three times) [5+5+5} when you add the three five , u should have 15 dollars.

so he save 15 dollars.

8 0

2 years ago

Angelique is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for t

marusya05 [52]

Answer:

A) both functions are linear

B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000

C) House 2 will value $106894.4 more than house 1.

Step-by-step explanation:

A) Value Increase from year 1 to year 2:

House 1: 193,606.40 - 186,160 = 7446.4

House 2: 201,000 - 190,000 = 11000

Value Increase from year 2 to year 3:

House 1: 201,350.66 - 193,606.40 = 7744.26

House 2: 212,000 - 201,000 = 11000

This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.

B) The slope is the same as the value increment from one year to the next one.

slope (m) of House 1: 7446.4

slope (m) of House 2: 11000

General formula of a line:

f(x) = mx+b

Replacing with a known point:

<u>House 1</u>

186,160 = 7446.4(1) + b

b = 186,160 - 7446.4 = 178713.6

equation: f(x) = 7446.4x + 178713.6

<u>House 2</u>

190,000 = 11000(1) + b

b = 190,000 - 11000 = 179000

equation: f(x) = 11000x + 179000

C) Replacing x = 30 into each equaiton:

<u>Value of House 1 after 30 years</u>

f(x) = 7446.4(30) + 178713.6 = 402105.6

<u>Value of House 2 after 30 years</u>

f(30) = 11000(30) + 179000 = 509000

Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.

8 0

3 years ago

Which pair of angles are corresponding angles? 1 and 4, 2 and 3, 3 and 6, 4 and 8 Please answer ASAP

lora16 [44]

Answer:

4 and 8

Step-by-step explanation:

corresponding angles are two angles that have the same angle degree and are on the same side of the graph if you were to take the bottom part and move it up to the top part

3 0

3 years ago

When a=5, calculate a^2.

Naddik [55]

Answer:

25

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers