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2 years ago

Eight less than the product of a number and three (algebraic expression)

2 answers:

8 0

Answer: 3a - 8

The product of ‘a number’ and 3 could be written as 3 x a or 3a

Eight less than 3a means 3a minus 8 or 3a - 8

krek1111 [17]2 years ago

8 0

Answer:

(n * 3) + 8 ... or ... 3n + 8

Step-by-step explanation: Hope this helps

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Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

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1 year ago

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Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Use the converse, biconditiona

WINSTONCH [101]

Conditional Statement: "If an angle is 150 degrees, then it is an obtuse angle." Converse: "If an angle is obtuse, then it is 150 degrees."

Hope I Helped You!!! :-)

Have A Good Day!!!

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2 years ago

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PLEASE HELP ME!!!! Find the volume of this sphere. Use 3 for pi.

AlekseyPX

Answer:

904cm3 just use an online sphere calculator they're easy to use

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Combining like terms with negative coefficients 2y-3xy+4y-5xy ?

Sunny_sXe [5.5K]

Answer:

6y - 8xy

Step-by-step explanation:

2y-3xy+4y-5xy

Combine like terms:

(2y+4y) + (-3xy -5xy)

6y - 8xy

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2 years ago

How many gallons equal to 8 quarts

Doss [256]

2 Gallons. 4 Quarts go Into 1 Gallon

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3 years ago

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