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Marianna [84]
3 years ago
8

A striped marlin can swim at a rate of 70 miles per hour. Is this a faster or slower rate than a sailfish, which takes 30 minute

s to swim 40 miles? Show your work.

Mathematics
2 answers:
Vilka [71]3 years ago
5 0
Let's do the work shall we....

this is going to be a ratio problem.


Striped Marlin:
70 miles/ One hour (Or 60 minutes)

Sailfish:
40 miles/ 30 minutes.

Since 30 minutes is only one half of 60 minutes, all we have to do is multiply the sailfish ratio by 2 in order to receive the correct mph.

(40miles/30 minutes) x2 = (80 miles/60 minutes(or one hour)).

Therefore, the sailfish is faster! 80 miles per hour is faster than the 70 mph marlin.
VladimirAG [237]3 years ago
3 0
You convert the minutes to hours and the marlin is slower because 70 mph is less than 80 mph.My work is in the attachment.

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The Jones family went to a play and paid $74 for 2 adults and 2 children. The Tucker family went to the same play and paid $86 f
Sveta_85 [38]
The answer is $25.

x - the price of an adult ticket
y - the price of a child ticket

The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86

This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
____
Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
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Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25

So, the price of the adult ticket is $25 and the price of the child ticket is $12.
5 0
3 years ago
Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.
Feliz [49]

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x

3 0
2 years ago
What is the GCF and LCM of -21 and 80? Please Help! Explanation Please! :) Will give brainliest! ASAP!
Lisa [10]

Answer:

GCF= 1

LCM= 1680

Step-by-step explanation:

GCF= Find the prime factorization of 21, 21 = 3 x 7

Find the prime factorization of 80, 80 = 2 x 2 x 2 x 2 x 5

Then multiply the prime factors both numbers have in common

LCM= multiply the two numbers together and ignore all negative signs

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3 years ago
Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
11111nata11111 [884]

Answer:

The price of hot dog is $2.5 and that of a pretzel is $1.25.

Step-by-step explanation:

Let the cost of hotdogs be x and that of pretzels be x.

So,

4x+3y = 13.75 ...(1)

and

2x+5y = 11.25 ...(2)

Multiply equation (2) by 2.

4x+10y = 22.5 ...(3)

Subtract equation (1) from (3).

4x+10y-(4x+3y) = 22.5-13.75

4x+10y-4x-3y = 8.75

7y = 8.75

y = 1.25

Put the value of y in equation (1).

4x+3(1.25) = 13.75

4x+3.75 = 13.75

4x = 13.75-3.75

4x = 10

x = 2.5

So, the price of hot dog is $2.5 and that of a pretzel is $1.25.

3 0
3 years ago
It costs $36.00 to get into an amusement park. Treats, like cotton candy, caramel apples, and
spayn [35]

Answer:

d

Step-by-step explanation:

So the problem states,

52 = 36 + 4x

16 = 4x

x = 4 (must be less than or equal to)

3 0
2 years ago
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