Macy drew a rectangle that is 9 inches long and has an area of 45 square inches. What is the width of Macy's rectangle?

Answers

Answer 1

Answer: Solutions

given

length = 9 inches

area = 45² inches

Calculations

9 x n = 45²

45 ÷ 9 = 5

The width is 5

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16% of 95 is what number?

Answers

16% of 95 is equal to 15.2

IT would be 15.2. :)

4x + 12 = -7y
-y + 12 = 4x
Solve with elimination

Answers

Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left. This makes all negatives positive and all positives negative. -4x + 12 = y

Then add the first equation to the second equation
4x +12 = -7y
-4x + 12 = y this eliminates the x's
24 = - 6y then divide by - 6
- 6 - 6
- 4 = y

So if you know that y = negative 4, you can substitute into either equation. I pick the second one because I am a lazy person.
-y + 12 = 4 x
-(-4) + 12 = 4 x combine your numbers
16 = 4 x then divide by 4
4 = x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?

$\begin{cases}4x + 12 = -7y \n -y + 12 = 4x \end{cases} \n \n\begin{cases}4x + 7y = -12 \n -4x-y =-12 \end{cases} \n+ ------- \n6y=-24\ \ /:6\n \ny=-(24)/(6)\n \ny=-4$

$4x+12=-7y\n \n 4x+12=-7*(-4)\n \n4x=28-12\n \n4x=16\ \ /:4\n \nx=(16)/(4)\n \n x=4 \n \n \begin{cases}x=4 \n y=-4 \end{cases}$

I need help with these two questions

Answers

Answer:

Given

Step-by-step explanation:

The Lateral surface area is the surface area of only 4 sides of the figure, that is, area excluding top and bottoms sides.

Lateral surface area of cuboid

= 2h (l+b)

where h is height

b is breadth

l is length

= 2*12 (5+4)

= 2*12*9

= 216 m^2

Lateral surface area of cube

= 4s^2

where s is the side

= 4*(2)^2

= 4*4

= 16m^2

How do i simplify each fraction 5/10 4/12 3/9 how do i solve by
doing what steps

Answers

The simplification of given fractions 5/10, 4/12, 3/9 are 1/2, 1/3, 1/3.

What are fractions?

A fraction is a part of a whole. In arithmatic, the number is expressed as a quotient, in which the numerator is divided by denominator.

Now the given fractions are,

5/10, 4/12, 3/9

Now to simplify each fraction we have,

5/10 = 5/(5x2)

or, 5/10 = (5/5)(1/2)

or, 5/10 = 1/2

Similarly,

4/12 = 4/(4x3)

or,4/12 = (4/4)(1/3)

or, 4/12 = 1/3

Similarly,

3/9 = 3/(3x3)

or, 3/9 = (3/3)(1/3)

or, 3/9 = 1/3

Hence,The simplification of given fractions 5/10, 4/12, 3/9 are 1/2, 1/3, 1/3.

More about fractions :

brainly.com/question/11905397

#SPJ2

5/10 divide each number by 5, 5 divided by 5 is 1 and 10 divided by 5 is two so it would be 1/2

4/12 divide each number by 4, four divided by 4 is 1, and 12 divided by 4 is 3 so it would be 1/3

3/9 divide each number by 3, 3 divided by 3 is 1, and 9 divided by 3 is 3 or it would also be 1/3

Hope that helped you

it cost the class 15$ to make cookies for the bake sale. How many cookies must they sale at 10 cents each to make a profit

Answers

Answer:

Over 150 cookies.

Step-by-step explanation:

$1=100 cents

$15=1,500 cents

1,500/10=150

The class must sell over 150 cookies to make profit.

B. Henry lives 95 km from work. How many kilometres does he drive to and from work each week? c. Henry uses 9 litres of fuel for each trip. (18 litres per day ) How many litres of fuel does he use each week?

d. if he pays 120 cents per litre, how much does it cost to drive to and from work each week? Remember to divide your answer by 100 to convert the cost to dollars and cents.