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3 years ago

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Mathematics

2 answers:

Vaselesa [24]3 years ago

6 0

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

Serga [27]3 years ago

3 0

Answer:

15m+80 would be the correct equation

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Solve using long division (4x^4-15x^3+7x^2-1) divided by (x^3-x+2)

IrinaK [193]

Answer:

x = 7/2 = 3.500

x = 4

x= 0.0000 - 1.4142 i

x= 0.0000 + 1.4142 i

Step-by-step explanation:

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2 years ago

Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

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3 years ago

Shawns rentals charges $27.50 per hour to rent a surfboard and a wet suit. Darlas surf shop charges $23.25 per hour to rent a su

horrorfan [7]

Answer:

4 hours

Step-by-step explanation:

For this, we can set up an equation

We can name the total number of hours x.

So the price for Shawns rentals would be as follows:

27.50x

and Darlas surf shop would be:

23.25x+17

Now, we put these into an equation.

We are trying to find for what number of x will the charges be equal, so we can make this equation:

27.50x=23.25x+17

Now we get the variables on one side, and the numerical values on the other.

We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)

4.25x=17

Divide both sides by 4.25.

x=4

You would rent the equipment for 4 hours to make the charges equal.

8 0

3 years ago

A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The

Free_Kalibri [48]

Answer:

4x + 6y > 120

Step-by-step explanation:

i got the same question on my midterm exam.

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3 years ago

Trey runs each lap in 6 minutes. He will run at least 30 minutes today. What are the possible numbers of laps he will run today?

vlada-n [284]

Answer:

5 laps

Step-by-step explanation:

30 ÷ 6 = n

n=5

8 0

3 years ago