Answer:
Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5
Step-by-step explanation:
Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?
Representing the above expression Mathematically
3/4 yard = 1 scarf
1 4/5 yards of fabric = x
Cross Multiply
3/4x = 1 4/5 × 1
x = 9/5/ 3/4
x = 9/5 ÷ 3/4
x = 9/5 × 4/3
x = 12/5 scarves
x = 2 2/5 scarves
Hence, the correct option is :
Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5
Answer:
a) 0.06
b) 0.778
Step-by-step explanation:
Let's suppose a community of 100 families just to facilitate the calculation.
30% of the families own a dog
Dog = 30% of 100 = 30
20% of the families that own a dog also own a cat = 20% of 30 = 6
27% of all the families own a cat = 27% of 100 = 27
So, 6 families own a dog and a cat.
As 30 families own a dog, [30 - 6 =] 24 families own only dogs
As 27 families own a cat, [27 - 6 = ] 21 families own only cats
See picture attached.
a) What is the probability that a randomly selected family owns both a dog and a cat?
P(dog and cat) = dog ∩ cat/total = 6/100 = 0.06
b) What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?
So, only cat/total cat
P (not dog|cat) = 21/27 = 0.778
1.15294
2 is thousandths place, so
1.153
Answer: 1.153
To solve this, I'm assuming that the equations both represent angles:
There is a theorem that states that an exterior angle of a triangle is equivalent to the sum of two remote triangles. Knowing this:
11x + 7 = 7x + 14 + 25
11x + 7 = 7x + 39
4x = 32
x = 8
Answer:
false
Step-by-step explanation:
1/8 = .125
2/4 = .5
therefore 1/8 does not = 2/4
