6x-21>3 and 14x+11>-17

Answers

Answer 1
Answer: 6x-21>3
Add 21 to both sides
6x>24
Divide 6 on both sides
X>4

14x+11>-17
Subtract 11 from both sides
14x>-28
Divide 14 on both sides
X<-2

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Use the distributive property to create an equivalent expression for 50+10x

Answers

Answer:

(5×10)+(1+10x)

Step-by-step explanation:

50/5=10

10/10=1

Answer: 10(5+x)

Step-by-step explanation:

Fran cut her sandwich into 6 pieces. If Fran ate 1/3 of her sandwich, how many pieces did he eat?

Answers

2 pieces :)  

Not sure if you wanted work but here is my explanation:

there are six pieces that she cut out, and she ate 1/3 of the six pieces,

1/3=2/6

since there are 6 pieces 1/3 would then equal 2 pieces. :)

Hope this helps:)
2 because 1/3 is equal to 2/6

On a sketch of a mural,3 inches represents one foot in the mural. A door in the sketch is 2 inches wide by 5 inches high. What is the perimeter of the door in the mural expressed in inches?

Answers

Answer:

Length of the door,                   l = 5 inches (in)

Width or Breadth of the door, w = 2 inches (in)

Perimeter                                   p = 2(l + w)

                                                   = 2( 5 + 2) inches

                                                   = 2(5) inches + 2(4) inches

                                                   = 10 inches  + 4 inches

                                                   = 14 inches or 14 in

  Step-by-step explanation:

The perimeter of a plane shape is the measurement of the length of its outside boundary, which means the distance around its edges.

The door in the sketch is the shape of a rectangle. the distance around the edge of the door is the sum of all the sides. The longer side of a rectangle is called the length and it is usually represented by letter l while the shorter side is known as width or breadth represented by letter w and b respectively. The perimeter is calculated by the formula 2(l + w). where l means the length and w represents the width.

Final answer:

The perimeter of the door in the mural, when expressed in inches, is approximately 56.04 inches.

Explanation:

The subject of this problem is understanding scale drawings, a mathematical concept typically covered in middle school. To solve this problem, we first find out the actual dimensions of the door on the mural. In the sketch, 3 inches represent 1 foot. So, 1 inch would represent 1/3 of a foot. Hence, a door of 2 inches wide in the sketch would in reality be2/3 of a foot wide and 5 inches high in the sketch would be 5/3 of a foot high.

The perimeter of a rectangle (which is the shape of the door) is given by the formula 2 * (length + width). In terms of feet, the perimeter of the door in the mural would be 2 * ((5/3) + (2/3)) = 4.67 feet.

Since 1 foot equals 12 inches, the perimeter of the door in the mural would be 4.67*12, which equals 56.04 inches.

Learn more about Scale Drawings here:

brainly.com/question/30771513

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You are receive 15% of the profit from a car wash. How much money do you receive from a profit of 300$?

Answers

15% = .15
300 * .15= $45

Cost of manicure is 19.95 markup is 85% and discount is 48%

Answers

Total would be $27.33

The area of a trapezium is A= 1/2 h (a+b) where H is the height and a and b are the lengths of the trapezium. Find the area of the trapezium with the following measurements :h= 2.0 mm, A= 7.5 mm, B= 10.8 mm

Please showing al working! :/

Answers

so assuming you meant to type a=7.5mm and b=10.8 (uppercase and lowercase letters matter) then


pemdas
parethasees
exponents
mulitplication or division
addition or subtraction


area=1/2 times h times (a+b)
area=1/2 times 2 times (7.5 +10.8)
area=1/2 times 2 times (18.3)
area=1 times (18.3)
area=18.3 square mm also written as 18.3 mm^2

area=18.3 square mm or 18.3mm^2
Area of trapezium=1/2 h(a+b),a=7.5mm, b=10.8mm, h=2.0mm.1/2 2(7.5+10.8).1/2 2(18.3).1/2 36.6.Area of trapezium=18.3sqmm