Claire bought 180 candies and 140 pens for goody bags for her birthday. What is the largest number of goody bags that Claire can
2 answers:
Answer: 20
Step-by-step explanation:
Given : Claire bought 180 candies and 140 pens for goody bags for her birthday.
To find : The largest number of goody bags that Claire can make so that each goody bag has the same number of candies and the same number of pens ( such that no pens or candies left).
So we find the GCF ( Greatest common factor ) or Number of candies and Number of pens.
i.e. we need to find GCF of 180 and 140 .
Prime factorization of 180 =
Prime factorization of 140 =
The greatest common factor of 180 & 140 =
∴ Claire can make 20 goody bags so that each goody bag has the same number of candies and the same number of pens.
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Study the figure attached below:
Answer:
240951.33km
Step-by-step explanation:
For this type of question first we need to draw the figure as shown in the attached file (Figure.1).
Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).
As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.
In the triangle ABC, perpendicular (opposite side to ) is BC and base (Adjacent side) is AC
=17.5 degree
AC=382100km
Putting the values, we get
Diameter=d=2*Radius
As BC is the distance from center of the sun, it is the radius, so we can find the diameter if we multiply it by 2.
Diameter of the sun=d=2*120475.66km
Answer:
The expected number of coupon is
Step-by-step explanation:
From the question we are told that
The probability that a $10 coupons delivered by mail will be redeemed is p = 0.16
The sample size is n = 10
Generally the expected number of coupons that will be redeemed is mathematically represented as
=>
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