So to start this off you would add 9y to both sides of the equation and then you regroup it which gives you <span>−2x=−25+9y and then you regroup the terms and get -2x=9y-25 and then you dived both sides by -2 and get x=9y-25/-2 then you simplify and so on
but at the end you should get x=-1 and y =3
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Answer:
93
Step-by-step explanation:
Given in the question an expression
5 + 10² – 3 × (12 – 8)
To solve this we will use DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction
Step 1
10²
100
5 + 100 – 3 × (12 – 8)
Step 2
(12 – 8)
(4)
5 + 100 – 3 × (4)
Step 2
3 × (4)
12
5 + 100 – 12
Step 3
5 + 100
105
105 - 12
Step 4
105 - 12
93
<u>ANSWER</u>
<u>EXPLANATION</u>
The given series
This is an arithmetic series with a common difference of
The first term of the series is:
The general term is given by:
The last term is 81
We can use this to determine the number of terms in the series.
The summation notation is:
0.5 is half of a gallon.
So, we do 17 / 2 = 8.5
8.5 * 7 (number of days in a week) = 59.5
Katrina drinks 59.5 cups of water in a week.
Answer:
See the solutions below
Step-by-step explanation:
First note that the opposite side of a parallelogram are equal, hence;
For Parallelogram FIRE
fi = re
ef = ir
Given
fi = (3x-5)cm
ir = (2y -7)cm
re = (x+7)cm
ef = (y+3)cm\
a) If fi = re, then;
3x - 5 = x+7
3x - x = 7+5
2x = 12
x = 12/2
x = 6
b) Since FI = 3x - 5
FI = 3(6) - 5
FI = 18 - 5
FI = 13cm
c) Also ef = ir
y+3 = 2y - 7
y - 2y = -7-3
-y = -10
y = 10
d) EF = y+3
EF = 10 +3
EF =13cm
e) Perimeter of the parallelogram = FI + IR + RE + EF
Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm
Perimeter of the parallelogram = 52cm
