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3 years ago

Match the event with the most

Mathematics

1 answer:

Tema [17]3 years ago

3 0

Answer:

I'd sayyyy certain

Step-by-step explanation:

I'm stopped sorry xd

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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

3 0

3 years ago

Phileas Fogg was the hero of Jules Verne's adventure novel Around the World in Eighty Days. The distance around the earth is abo

nignag [31]

He traveled 312.5 miles in 1 day.

8 0

3 years ago

Read 2 more answers

Which equation represents seven times a number decreased by 2 is 19? A) 7 + x - 2 = 19 B) 7x + 2 = 19 C) 2x - 7 = 19 D)

Helen [10]

Answer:

7n - 2 = 19

Step-by-step explanation:

7 times a number is 7n.

7 times a number, decreased by 2, is 7n - 2.

7 times a number, decreased by 2, is 19 is represented by 7n - 2 = 19

4 0

3 years ago

A certain shampoo is available in two sizes. A 13.5 ounces bottle cost $2.98. A 29.2 ounce bottle cost $6.12. Find the Unit pric

Sladkaya [172]

Answer:

9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22

Step-by-step explanation:

Unit price of any product is given by

unit price = weight of product/ price of product

Given sizes

13.5 ounces bottle cost $2.98

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22

Unit price for this size is $.022

9.2 ounce bottle cost $6.12

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66

Unit price for this size is $0.66

As $0.22 is less than $0.66 thus,

9.2 ounce bottle cost $6.12 is better buy.

6 0

3 years ago

Two more than a certain number is 15 less than twice the number. Find the number

Svetllana [295]

2+x=2x-15
>> 2+15=2x-x
>> 17 = x

So the answer is 17

6 0

3 years ago

Read 2 more answers