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3 years ago

A bag of oranges weighs 5 1/4 pounds. How much does 1 1/2 bags weigh?

Mathematics

1 answer:

Andreyy893 years ago

3 0

Answer:

you simplify the fractions then you cross multiply

Step-by-step explanation:

1/2 * 4/2 you multiply 1 and 4 and you get 4/4 which is equal to 1

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A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?

zzz [600]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}$

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

First, finding the width of a rectangle

$\boxed{ \sf{perimeter = 2(l + w)}}$

plug the values

⇒ $\sf{64 = 2(20 + w)}$

Distribute 2 through the parentheses

⇒ $\sf{64 = 40 + 2w}$

Swap the sides of the equation

⇒ $\sf{40 + 2w = 64}$

Move 2w to right hand side and change it's sign

⇒ $\sf{2w = 64 - 40}$

Subtract 40 from 64

⇒ $\sf{2w = 24}$

Divide both sides of the equation by 2

⇒ $\sf{ \frac{2w}{2} = \frac{24}{2} }$

Calculate

⇒ $\sf{w = 12 \: inches}$

Width of a rectangle ( w ) = 12 inches

Now, finding the area of a rectangle having length of 20 inches and width of 12 inches

$\boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}$

plug the values

⇒ $\sf{area \: of \: rectangle =20 \times 12 }$

Multiply the numbers : 20 and 12

⇒ $\sf{area \: of \: rectangle = 240 \: {inches}^{2} }$

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

7 0

3 years ago

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a six.

egoroff_w [7]

Answer:

1/13 ≈ 7.69%

Step-by-step explanation:

There are 4 sixes in a standard deck. So the probability is 4/52 = 1/13, or about 7.69%.

4 0

3 years ago

Which ordered pair is a solution to the inequality -2/3x-4y > 0

Eduardwww [97]

Answer:

The answer would be (-3,-1/2)

Step-by-step explanation:

7 0

3 years ago

-3x^2 – 24x – 13 = -13

Fudgin [204]

$\begin{gathered} -3x^2-24x-13=-13 \\ \text{ Express it as:} \\ 3x^2+24x+26=0 \\ 3x^2+24x=-26 \\ 3(x^2+8x+16)=?-26 \\ 3(x+4)^2=48-26 \\ 3(x+4)^2=22 \end{gathered}$

oh,

3 0

1 year ago

What is the slope of a line perpendicular to the line whose equation is 6x+4y=-56

alex41 [277]

Answer:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.Step-by-step explanation:

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5 0

2 years ago