Answer:
See below.
Step-by-step explanation:
1.
2a + 3 * (1 + 2) = 2a + 9: Yes. Expression is equivalent.
2.
33v = (3 * v) * 11: Yes. Expression is equivalent.
3.
3b - 19 + 2b = 3b + 19 - 2b: No. Both expressions are different answers.
4.
4(3c - 4) = 2(6c - 8): No. expressions are not equivalent.
Answer:
15
Step-by-step explanation:
Simply subtract the smaller number from the bigger number, and divide by 2. Or add the two numbers together and divide by 2.
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Answer:
The answers are:
- 2u = <10,2>
- -3u = <-18,-6>
- u+v = <11,3>
- 3u-4v = <-9,-5>
Step-by-step explanation:
Given vectors are:
u = <5,1>
v = <6,2>
The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs
Now,
Now we have to add two vectors
In order to add two vectors, their respective coordinates are added:
So,
And
Hence,
The answers are:
- 2u = <10,2>
- -3u = <-18,-6>
- u+v = <11,3>
- 3u-4v = <-9,-5>
12.76*10=127.6 and 127.6 to the 2nd power is 16281.76
