Answer:
Cell A = 15
Step-by-step explanation:
If 6 spring rolls will serve 3 people, let x be the number of people 30 spring rolls will serve.
Thus,
6 spring rolls = 3 people
30 spring rolls = x
Cross multiply
6*x = 3*30
6x = 90
Divide both sides by 6
6x/6 = 90/6
x = 15
30 spring rolls will serve 15 people.
The question is asking for a proportion based on the initial data. The correct number for cell A is 15, calculated by dividing the total number of spring rolls by the ratio of spring rolls per person.
This question deals with proportions. Proportions look at the relationship between two pairs of numbers. If 6 spring rolls can serve 3 people, that means each person will get 2 spring rolls. This forms a ratio of 2:1, meaning each person gets 2 spring rolls.
Applying this ratio to 30 spring rolls, we would do the following calculation: 30 spring rolls / 2 spring rolls per person = 15 people. Therefore, cell A in the table should be filled with the number 15.
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Answer:
The area is 91 cm²
Step-by-step explanation:
The shape is a kite.
area of a kite = ½(p*q)
Where, p and q are the diagonals of the kite.
p = 13 cm
q = 7 + 7 = 14 cm
The area of the kite = ½(13 * 14)
= ½(182)
Area = 91 cm²
The amount Howie will pay back at the end of one year is $26000.00
The given parameters are:
-- the principal amount
-- the interest rate
--- the duration
The amount to pay back in this duration is then calculated using:
So, we have:
Express percentage as decimal
Multiply
Hence, the amount to pay back is $26000.00
Read more about simple interest at:
Answer: 1234386026
Step-by-step explanation:
Answer:
1,234,386,030
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) The sum of opposite angles of an inscribed quadrilateral is 180°. This lets us use angles E and G to solve for x:
(x+15) + (2x) = 180
3x + 15 = 180 . . .simplify
x +5 = 60 . . . . . divide by 3
x = 55 . . . . . . . . subtract 5
Similarly, we can use angles F and H to solve for y:
(3y -60) + (y) = 180
4y -60 = 180 . . . . simplify
y -15 = 45 . . . . . . divide by 4
y = 60 . . . . . . . . . add 15
___
b) Then the measures of the angles are ...
G = 2x = 2·55 = 110
E = 180 -G = 70
H = y = 60
F = 180 -H = 120
The angle measures are ...
m∠E = 70°, m∠F = 120°, m∠G = 110°, m∠H = 60°
___
c) short arc HF is intercepted by inscribed angle E, so the arc will have twice the measure of the angle.
arc HF = 2·m∠E = 140°
_____
Comment on the problem
Throughout, the only relation being used is that the measure of an arc is twice the measure of the inscribed angle intercepting it. For opposite angles of the quadrilateral, the sum of the two intercepted arcs is 360° (the whole circle), so the sum of the two angles is 180°.
Answer:
He made 20 dollars
Step-by-step explanation:
Buying is negative and selling is positive
-60+70-80+90
+20
He made 20 dollars
Answer:
The correct answer is that he made $20.
Step-by-step explanation:
A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80. And he sells the horse again for $90.