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aksik [14]
2 years ago
15

The length of a rectangle is 2 cm more than four times the width. If the perimeter of the rectangle is 84 cm, what are its dimen

sions
Mathematics
1 answer:
katovenus [111]2 years ago
8 0

Answer:

Length 34 cm

Width 8 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of rectangle is equal to

P=2(x+y)

P=84 cm

so

84=2(x+y)

42=x+y ----> equation A

x=4y+2 -----> equation B

substitute equation B in equation A and solve for y

42=(4y+2)+y

5y=42-2

y=40/5=8 cm

Find the value of x

x=4y+2 ----> x=4(8)+2=34 cm

The dimensions are

Length 34 cm

Width 8 cm

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Jenny's bakery sells carrot muffins at 2 dollars each. The electricity to run the over is over 120 dollars per day and the cost
g100num [7]

Answer:

200 muffins

Step-by-step explanation:

The selling price of each muffin = $2

The cost price of each muffin = $1.40

The price of electricity = $120

If the number of muffins that Jenny sells in a day is x, then, Jenny's total cost in a day is:

120 + (1.4 * x) = 120 + 1.4x

and the total sales earnings in a day for x muffins will be:

2 * x = 2x

To break even, the total costs in a day must equal to the total earnings. That is;

2x =  120 + 1.4x

Solving this:

2x - 1.4x = 120\\\\\\0.6x = 120\\\\\\x = 120/0.6\\\\\\x = 200

She must sell 200 muffins in a day to break even.

7 0
3 years ago
A certain radioactive isotope has leaked into a small stream. Three hundred days after the​ leak, 3% of the original amount of t
sesenic [268]
If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
6 0
3 years ago
I got this question that says to Complete the table for the given rule. and that is y=5x and it says (the chart has only numbers
Ainat [17]

Answer:

X     Y

1       5

4/5   4

2/5   2

Step-by-step explanation:

y=5x

We we know y we need to solve for x

X Y

  5

  4

  2

Let y =5

5 = 5x

Divide by 5

5/5 =5x/5

1=x

Let y =4

4 = 5x

Divide by 5

4/5 =5x/5

4/5=x

Let y =2

2 = 5x

Divide by 5

2/5 =5x/5

2/5=x

X     Y

1       5

4/5   4

2/5   2

3 0
3 years ago
Read 2 more answers
A train travels 75 miles in 55 minutes what is the average speed in miles per minute
nekit [7.7K]

Answer:

1.36 miles per min

Step-by-step explanation:

5 0
3 years ago
A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The h
scoray [572]

Answer:

Option B. 1.8 seconds

Step-by-step explanation:

h=-16t^2+56t+1

This is a quadratic equation, and its graph is a parabola

h=at^2+bt+c; a=-16, b=56, c=1

Like a=-16<0 the parabola opens downward, and it has a maximum value (height) at the vertex, at the abscissa:

t=-\frac{b}{2a}

Replacing the known values:

t=-\frac{56}{2(-16)}\\ t=-\frac{56}{(-32)}\\ t= 1.75

Approximately 1.8 seconds.

Answer: It takes approximately 1.8 seconds the airplane to reach its maximum height.


5 0
3 years ago
Read 2 more answers
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