Juan has 12 muffins he puts 1/4 of the muffins in a bag how many muffins does juan put in the bag

Simplify both sides of the equation

3x+1/10 = x+ -1/7

Subtract x from both sides

3x+1/10 -x = x+ -1/7 -x

2x+1/10 = -1/7

Subtract 1/10 from both sides

2x+1/10 - 1/10 = -1/7 -1/10

2x= -17/70

Divide both sides by 2

2x/2 = -17/70/2

x= -17/140

decimal x will equal -0.121

Ask any questions you want and I hope that's help !

Answer:

300 in³

Step-by-step explanation:

The volume (V) of a triangular prism is

V = Al ( A is the area of the triangular face and l is the length )

A = bh ( b is the base and h the height )

Here b = 5 and h = 6 , thus

A = × 5 × 6 = 15 in², so

V = 15 × 10 = 150 in³

Since the triangular prisms are identical, then volume of figure is

V = 2 × 150 in³ = 300 in³

Study the Problem

What is the cost of the wallpaper (in dollars per square foot)?

Organize the Facts

The wallpaper covers a rectangle 42 ft by 25.5 ft. It costs $771.12 for that area.

Make a Plan

To find dollars per square foot, we need to divide the dollar amount by the area in square feet. The area needs to be computed. It is the area of a rectangle, so can be found by multiplying length and width.

Plan: multiply length and width of the wall to find its area; divide the cost by that area to find dollars per square foot.

Execute the Plan

area = (42 ft)×(25.5 ft) = 1071 ft²

cost/area = $771.12/(1071 ft²) = $0.72/ft²

Examine the Results

The area is on the order of 40×25 = 1000 ft², and the cost is less than $1000, so the cost will be less than $1 per square foot. The answer is in the right ballpark. If we multiply it out, we should get the given cost:

... 0.72×42×25.5 = 771.12 . . . . agrees with given cost.

The cost of the wallpaper is $0.72 per square foot.