−3/7×14/15×7/12×(−30/35)
=(−3/7×14/15)×(7/12×−30/35)
On further calculation, we get
=−2/5×−1/2
We get,
=1/5.
Property 1:
If a/b is a rational number and m is a non-zero integer then a/b =(a*m)/(b*m). In other words, we can say that the rational number remains unaltered if we multiply both the numerator and denominator with the same integer. Ex: 2/3 = 2*2/3*2 = 4/6, 2*3/3*3 = 6/9, 2*4/3*4 = 8/12.
Math Properties
Commutative Property.
Associative Property.
Distributive Property.
Identity Property.
Inverse Property.
Learn more about appropriate properties at
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Answer:
The potato salad costs 4.63
Step-by-step explanation:
We have 1.75lb
1=2.75
then 75% of 2.75 is 2.0625
the answer is 4.63
The absolute value sign makes it so that k+7 could be either -3 or +3 and the result would still be 3. This means there are two possible answers for k. The one that makes k+7=-3 and the one that makes k+7=+3. Just solve these two equations:
k+7=-3
k=-3-7
k=-10
k+7=3
k=3-7
k=-4
So the possible answers are -4 and -10. B is the correct choice.
Answer:
A = $1,545.00
(I = A - P = $45.00)
Equation:
A = P(1 + rt)
Explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Putting time into years for simplicity,
9 months / 12 months/year = 0.75 years.
Solving our equation:
A = 1500(1 + (0.04 × 0.75)) = 1545
A = $1,545.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 4% per year for 0.75 years (9 months) is $1,545.00.
Answer:
Option (E)
Step-by-step explanation:
In the figure attached,
Given a isosceles right triangle with two equal legs measuring
units
By Pythagoras theorem,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
Since, hypotenuse = h
Leg 1 = Leg 2 = 3√2
Now we substitute the values,
h² = (3√2)² + (3√2)²
h² = 18 + 18
h = √36
h = 6 units
Therefore, length of the hypotenuse is 6 units.
Option (E) will be the answer.