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3 years ago

Use the distributive property to solve the equation 28 - (3x + 4) = 2(x + 6) + 5

Mathematics

1 answer:

Shalnov [3]3 years ago

7 0

1.) 28-3x-4= 2x+12+x
2.) 24-3x= 3x+12
3.)24-6x=12
4.)-6x=-12
5.)x=2

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How expensive is Maui? A newspaper gave the following costs in dollars per day for a random sample of condominiums located throu

Leviafan [203]

Answer:

mean=134.3

median=65.5

mode=60

Step-by-step explanation:

Mean is computing by adding the all data values and then divided by number of values

mean=sum of all values/number of values

There are 20 data values.

mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20

mean=2686/20

mean=134.3

For calculating median we arrange the data in ascending order

41 45 45 50 50 55 60 60 60 65 66 71 88 110 125 235 250 350 360 500

n/2=20/2=10 is an integer

So, the median is the average of n/2 and (n/2)+1 value

The median is average of 10th and 11th value

median=(65+66)/2

median=65.5

Mode is the most repeated value and we see that number of times the values are repeated are

45= 2 times

50= 2 times

60= 3 times

Thus, the most repeated value is 60 and it is the mode of data.

Mode=60

4 0

4 years ago

Clear parentheses and combine like terms:

mihalych1998 [28]

Answer:

-3p - p²

Last option

Step-by-step explanation:

Step 1: Write out expression

2p - 7p² - 5p + 6p²

Step 2: Combine like terms (p²)

-p² + 2p - 5p

Step 3: Combine like terms (p)

-p² - 3p

Step 4: Rewrite

-3p - p²

7 0

3 years ago

A car goes 400 miles on 10 gallons of

Olenka [21]

Answer:

A. 1200

Step-by-step explanation:

Since 10 times 3 is 30, then 400 times 3 is 1200. Hope I helped!

4 0

4 years ago

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your

natima [27]

Answer:

Step-by-step explanation:

Suppose the car mileage actually varies slightly with the driving speed of the car

Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per hour,

and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.

The driving time for a 2500-mile trip if you drive at an average speed of 54 miles per hour

$= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.$

The driving time for a 2500-mile trip if you drive at an average speed of 65 miles per hour

$= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.$

7 0

3 years ago

Jason decided to look at new trucks. Jason found a used truck for 34,000 dollars. A new truck is 40,000 dollars so what percent

nexus9112 [7]

Answer:

Percent of rise of a new truck on a used truck = 15%

Step-by-step explanation:

Let x be the percentage of saved money if Jason buying a used truck.

Given:

Price of the used truck = $34,000

Price of the new truck = $40,000

We need to find the percent of rise Jason saves on a used truck rather than buying a new truck

Solution:

Using a percentage formula.

$percentage\ cost = \frac{(100-x)}{100}\times Original\ cost$

Substitute Percentage cost = 34,000 and Original cost = 40,000 in above formula.

$34000 = \frac{(100-x)}{100}\times 40000$

$34000 = (100-x)\times 400$ ( $\frac{40000}{100}=400$ )

Using cross multiplication rule.

$(100-x)=\frac{34000}{400}$

$85=100-x$

$x = 100-85$

x = 15%

Therefore, Jason used 15% rise of a new truck for a used truck.

6 0

3 years ago