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3 years ago

Simplify 22 + 6(3) – 7 and 5x − 2y + 3z − 2x − y + 4z

Mathematics

1 answer:

sergey [27]3 years ago

6 0

$22+6(3)-7=22+18-7=40-7=33$

$5x-2y+3z-2x-y+4z\qquad|\text{combine like terms}\\\\=(5x-2x)+(-2y-y)+(3z+4z)=3x-3y+7z$

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eimsori [14]

The answer would be 329.49

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3 years ago

The order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games

Tatiana [17]

The order of magnitude for total attended for a high school football team is 3

<h3>How to determine the order of magnitude?</h3>

The given parameters are:

Average number of fan = 1000

Number of home games = 5

The total number of fans in the 5 games is:

Total number of fans = Average number of fan * Number of home games

Substitute known values in the above equation

Total number of fans = 1000 * 5

Express 1000 as 10^3

Total number of fans = 10^3 * 5

Rewrite the equation as:

Total number of fans = 5 * 10^3

The power of 10 represents the order of magnitude

Since the power of 10 is 3, the order of magnitude is 3

Hence, the order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games is 3

Read more about order of magnitude at:

brainly.com/question/15698632

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4 0

2 years ago

Help fill in the blanks no

DerKrebs [107]

Answer:

Here is the full proof:

AC bisects ∠BCD Given

∠CAB ≅ ∠CAD Definition of angle bisector

DC ⊥ AD Given

∠ADC = 90° Definition of perpendicular lines

BC ⊥ AB Given

∠ABC = 90° Definition of perpendicular lines

∠ADC ≅ ∠ABC Right angles are congruent

AC = AC Reflexive property

ΔCAB ≅ ΔCAD SAA

BC = DC CPCTC

7 0

3 years ago

An inflatable raft that you have jumped in to escape the monsters has 4500 cubic inches of air inside it when fully inflated. It

DedPeter [7]

Answer:

2628.48 cubic inches

Step-by-step explanation:

The inflatable raft has 4500 cubic inches of air inside it when fully inflated.

The inflatable raft loses air at a rate of a decrease 6.5% each day.

Now, we have to calculate the volume of air that will be left in the raft after 8 days.

Therefore, the volume of air left in the raft after 8 days will be $4500[1-\frac{6.5}{100} ]^{8} =2628.48$ cubic inches. (Answer)

8 0

3 years ago

2x^2-13x+20=2x <br> 2<br> −13x+20

marta [7]

Answer:

Factor by grouping

( 2 x + 5 ) ( x + 4 )

6 0

3 years ago