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katovenus [111]
2 years ago
11

Mike buys a large goldfish for $22 and food for his new friend

Mathematics
1 answer:
Dovator [93]2 years ago
4 0

Answer:

Mike started off the day with $27.

Step-by-step explanation:

Using the information given to us, we can set up an equation. Knowing that Mike ended the day with $7, and the amount of money that he spent and received can help us set up an equation. The amount of money that he started the day off with, is unknown, and recognized as x.  7=x-22-3+5

To solve this, we can simply solve the numbers that we know on the right hand side, to get this:

7=x-20

Now, to get our final answer we must isolate x. We can do this by simply adding 20 to both sides. This cancels out the -20 on the right, and makes the 7 on the left become 27.

27=x

Therefore, Mike started the day off with $27.

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3000

Step-by-step explanation:

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3 years ago
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37. Construct Arguments Luis and Raul are
Katarina [22]

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

  • <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
  • <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

  • Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

<u>Using the general form</u> :

  • y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

<u>The expression in slope intercept form becomes</u> ;

  • y = -7.5x + 15

<u>If Raul lives 5 miles closer to the beach</u> ;

<u>Time it will take Luis to get to the beach</u> :

  • Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

  • Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :brainly.com/question/18405415

5 0
3 years ago
4 x 100 + 8 x 10 + 9 x 1 + 8 x (1/100) + 5 x (1/1,000) in standard form.
Phoenix [80]
What’s standard form again? I forgot
4 0
3 years ago
The cube of a number equals 36 times that number.find the number.​
labwork [276]
Answer
The answer is 36.
Explanation:
Let the unknown number be x

x^3=x*36
or, x^3/x=36
or, x^2=36
or, x=6
.•. x=36
4 0
3 years ago
Read 2 more answers
Type the correct answer in the box. Use numerals instead of words.
Karo-lina-s [1.5K]

Answer:

6

Step-by-step explanation:

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

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This line passes throughthe point (10,1), then the coordinates of this point satisfy the equation of the line:

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and the equation of the line is

y=-0.5x+6

Since b=6, the y-intercept of the line is 6.

7 0
3 years ago
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