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tamaranim1 [39]
2 years ago
5

48 miles in 48 minutes how many miles in 1 hour

Mathematics
1 answer:
Anarel [89]2 years ago
3 0

Answer:

One hour

Step-by-step explanation:

48 miles in 48 minutes

X miles. In 60minutes

48/48 = x/60 (cross multiplication)

(48*60)/48 = 60 minutes

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The length of a rectangle is 7 ft longer than twice the width. If the perimeter is 92 ft find the length and width of the rectan
user100 [1]

Width of the rectangle is 13 ft and length of the rectangle is 33 ft

<u>Step-by-step explanation:</u>

Step 1:

Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.

92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14

⇒ 92 = 6x + 14

⇒ 78 = 6x

⇒ x = 78/6

∴ x = 13 ft

⇒ Width of the rectangle = 13 ft

∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft

4 0
3 years ago
When buying bottles of Apple juice Ava spent $1.56 On a 12 -ounce bottle and $0.9 on a 6-ounce bottle. Use unit rates to determi
Verizon [17]
Ok so you divide them and then make sure that 1 is the denominator and the numerator can be anything else
5 0
3 years ago
A rectangular parcel of land has an area of 6,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o
Drupady [299]

Answer:

50ft by 120ft

Step-by-step explanation:

Area of a rectangle = L × W

6000ft² = L × W

L = 6000/W

When a diagonal line divides a rectangle into 2 right angled triangles, the diagonal line = Hypotenuse of either of the triangle and it is the longest side.

The formula for a right angle triangle =

a² + b² = c²( c = hypotenuse)

We are told in the question that:

A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel

Let us assume the side that the hypotenuse is longer than = Width

Hence, the Diagonal = (W + 10)²

Therefore

L² + W² = (W + 10)²

Since L = 6000/W

W² + (6000/W)² = (W + 10)²

W² + (6000/W)² = (W + 10) (W + 10)

W² + (6000/W)² = W² + 10W + 10W + 100

W² + (6000/W)² = W² + 20W + 100

W² - W² + (6000/W)² = 20W+ 100

6000²/W² = 20W + 100

6000² = W²( 20W + 100)

6000² = 20W³ + 100W²

20W³ + 100W² - 6000² = 0

20W³ + 100W² - 36000000 = 0

20(W³ + 5W² - 1800000) = 0

Factorising the quadratic equation,

20(W − 120)(W² + 125W + 15000) = 0

W - 120 = 0

W = 120

Therefore,

W(Width) = 120feet

Since the Width = 120 feet

We can find the length

6000ft² = L × W

L = 6000/W

L = 6000/120

L = 50 feet

The dimensions of the land, correct to the nearest foot is 50ft by 120ft

3 0
3 years ago
Lee has $220 to spend on shirts at $22 each and pants $38 each. what inequality represents the possible number of shirts and pan
Viefleur [7K]

The inequality that models the given situation is:

y*$22 + x*$38 ≤ $220

And some solutions are (1, 1), (1, 2), (2, 2).

<h3>Which inequality models the given situation?</h3>

To find the inequality, we first need to define the variables that we will use, the variables are:

  • x = number of pants bought.
  • y = number of shirts bought.

Knowing the price of each individual item, the total cost will be given by:

C = y*$22 + x*$38

And Lee has $220 to spend, so the maximum amount that he can spend is $220, then we have the inequality:

y*$22 + x*$38 ≤ $220

Now, to find solutions you just need to find some values of x and y that make the inequality true, for example, one solution is x = 1 and y = 1.

1*$22 + 1*$38 ≤ $220

$60 ≤ $220

This is true, so (1, 1) is a solution.

Another solutions are (2, 2), (1, 2), (0, 3), etc.

If you want to learn more about inequalities you can read:

brainly.com/question/24372553

#SPJ1

6 0
2 years ago
What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?
11111nata11111 [884]

function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

3 0
3 years ago
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