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
Answer:
x = 1.5
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin60° = 
, then
sin60° = 
= 
= ( cross- multiply )
2x = 3 ( divide both sides by 2 )
x = 1.5
Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°
Answer: 21/44
Step-by-step explanation:
Given that:
Bag contains :
6 red apples
6 yellow apples
Number of samples drawn = 3
Probability that sample contains more red than yellow :
Then from the three samples, red = 2 and yellow = 1 or red for all 3
Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320
Prob RRY = (6/12)(5/11)(6/10)= 150/1320
Prob RYR is (6/12)(6/11)(5/10)= 180/1320
Prob YRR is (6/12)(6/11)(5/10)=180/1320
120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44
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