Answer:
Veronika's weight = 92 pounds
Kate's weight = 46 pounds
Step-by-step explanation:
Let Veronika's weight = x
Let Kate's weight = y
The sum of Veronika's and Kate's weight is 118 pounds.
x + y = 118
Veronika weighs 26 pounds more than Kate.
x = y + 26
How much do they weigh individually?
We substitute y + 26 for x in Equation 1
x + y = 118
y + 26 + y = 118
26 + 2y = 118
2y = 118 - 26
2y = 92
y = 92/2
y = 46 pounds
x = y + 26
x = 46 + 26
x = 92 pounds
Hence,
Veronika's weight = 92 pounds
Kate's weight = 46 pounds
Answer:
y = -15
x = -10
Step-by-step explanation:
1/4x - 1/2 = 5 (1)
3x + 2/3y = -40 (2)
Multiply (1) by 4
1/4x - 1/2 = 5
1/4x * 4 - 1/2y * 4 = 5 * 4
4/4x - 4/2y = 20
x - 2y = 20 (3)
Multiply (2) by 3
3x + 2/3y = -40 (2)
3x * 3 + 2/3y * 3 = -40 * 3
9x + 6/3y = -120
9x + 2y = -120 (4)
x - 2y = 20 (3)
9x + 2y = -120 (4)
Using elimination method, Add (3) and (4)
9x + x = -120 + 20
10x = -100
x = -100/10
x = -10
Substitute x = -10 into (3)
x - 2y = 20 (3)
-10 - 2y = 20
-2y = 20 + 10
-2y = 30
y = 30/-2
y = -15
y = -15
x = -10
Answer:
a = 150
Step-by-step explanation:
The sum of the internal angles of an octagon is 1080°.
(There are four 
and 4 
, they sum to 1080°)
Hope this helps :)
<u>Answers</u>
2.47 + 7.1 = 9.57
7.1 + 2.47 = 9.57
9.57 - 2.47 = 7.1
9.57 - 7.1 = 2.47
<u>Explanation</u>
A fact family is a group of math facts using the same numbers. In the case of addition/subtraction, you use three numbers and get four facts.
In this case we are going to write two different addition facts and two different subtraction facts as follows:
2.47,9.57,and 7.1
<em><u>Addition facts</u></em>
2.47 + 7.1 = 9.57
7.1 + 2.47 = 9.57
<em><u>Subtraction</u></em>
9.57 - 2.47 = 7.1
9.57 - 7.1 = 2.47
Hey!
First, we have to break 32 into its primes.
Since we don't want an odd number, we can split it into two.
Since we want to remove one of the square roots, we have to do something like this:
We would be left with,
Simplify the exponent.
This tells us that the square root of 32 can be simplified.Thanks!
-TetraFish
