Short answer: 375 grams
Remark
You only need to set up a direct proportion
Givens
flour for 12 cakes = 150 grams
Number of cakes initially = 12
Amount of flouer for 30 cakes = x
Number of cakes = 30
Proportion
amount flour for 12 cakes / 12 cakes = x / 30
Sub and solve
150 grams / 12 cakes = x / 30 cakes Cross multiply
150 * 30 = 12 *x Multiply the left side.
4500 = 12 x Divide both sides by 12
4500/12 = x
375 grams for 30 cakes. <<<<< Answer
You need to figure out how many square feet one paint can will be able to paint, then take the 24 square feet and divide it by the how much the paint can can paint, then you’ll have how many paint cans you need
The figure is missing. There are several problems with same wording but different numbers
Here, we can use:
- Horizontal distance: 258 feet
Answer:
- Slope = 56.0 ft / 258 ft ≈ 0.217
Explanation:
The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.
There are several forms to express this with words, which represent the same formula. Here are some of them:
- Slope = rise / run
- Slope = vertical change / horizontal change
- Slope = change in y / change in x
- Slope = Δy / Δx
- Slope = (y₂ - y₁) / (x₂ - x₁)
As said, all those forms mean the same; they are equivalent.
Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:
- Slope = vertical fall / horizontal distance = 56.0 feet / 258 feet ≈ 0.217
Answer:The claim is correct
Explanation:Assume the given triangle ABCperimeter of triangle ABC = AB + BC + CA ............> I
Now, we have:D is the midpoint of AB, this means that:
AD = DB = (1/2) AB ..........> 1E is the midpoint of AC, this means that:
AE = EC = (1/2) AC ...........> 2DE is the midsegment in triangle ABC, this means that:
DE = (1/2) BC ...........> 3perimeter of triangle ADE = AD + DE + EA
Substitute in this equation with the corresponding lengths in 1,2 and 3:perimeter of triangle ADE = (1/2) AB + (1/2) BC = (1/2) AC
perimeter of triangle ADE = (1/2)(AB+BC+AC) .........> IIFrom I and II, we can prove that:perimeter of triangle ADE = (1/2) perimeter of triangle ABC
Which means that:perimeter of midsegment triangle is half the perimeter of the original triangle.
Hope this helps :)