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3 years ago

8

Ellie took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.50 plus $5 per mile. The total far

e was $76.50, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.

1 answer:

abruzzese [7]3 years ago

4 0

Answer:

5x= 76.5-1.5

So, m=15m

Step-by-step explanation:

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a $ 300 mountain bike is discounted by 30% and then discounted 10% for shoppers who arrive before 5:00am

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The mountain bike cost $189 after both discounts

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3 years ago

Solve the inequality<br> 3 + 9x >4(x+7)<br> pls help

alexandr402 [8]

Answer:

x<5

Step-by-step explanation:

the greater sign will firstly be changed to = for better solving so we obtain

3+9x=4(x+7)by opening bracket

3+9x=4x+28

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5x=25

divide all through by 5x

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3 years ago

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

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3 years ago

What kind of growth model (pattern) is shown in the table?

g100num [7]

The kinda growth model patter is shown in the table is 5

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3 years ago

Lisa and Marie are both on the track team. During practice, Lisa ran 10 laps around

Zigmanuir [339]

Answer:

Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.

Step-by-step explanation:

18 ÷ 10 = 1.8 (Lisa's rate)

14 ÷ 8 = 1.75 (Marie's rate)

1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)

1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)

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3 years ago