<u>Sampe : Total</u>
25 : 750
(÷25) (÷25)
1 : 30
( x7) ( x7)
7 : 210
Answer: (a) There is a total of 210 orange cakes made on Monday.
The sample is 5 when corrected to the nearest whole number.
⇒Smallest possible number is 4.5
Total orange cakes baked on Tuesday = 4.5 x 30 = 135
P(Orange Cake) = 135/750 = 9/50
Answer: (b) The probability is 9/50
Answer:
x = 14
m∠SOP = (7x - 2)° = 96°
m∠SOR = (5x + 14) = 84°
Step-by-step explanation:
`From the given picture,
Angle SOP and angle SOR are the linear pairs.
Therefore, sum of these angles will be equal to to 180°.
m∠SOP + m∠SOR = 180° -----(1)
Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°
[There is a misprint in this question. There should be x in place of y in the measures of the angles]
By substituting these values in the equation (1),
(7x - 2) + (5x + 14) = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 
x = 14
m∠SOP = (7x - 2)° = 96°
m∠SOR = (5x + 14) = 84°
Answer:
9/7
Step-by-step explanation:
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You can factor a parabola by finding its roots: if

has roots
, then you have the following factorization:

In order to find the roots, you can use the usual formula

In the first example, this formula leads to

So, you can factor

The same goes for the second parabola.
As for the third exercise, simply plug the values asking

you get

Add 3 to both sides:

Divide both sides by 1.5:

Answer is the picture below: