Answer:
Large Box = 18.5
Small Box = 15.75
Step-by-step explanation:
Let x = large box and y = small box
5x+6y=187
3x+2y=87
cancel out one equation
(5x+6y=187)•3=15x+18y=561
(3x+2y=87)•-5=15x+10y=435
15x+18y=561
-15x-10y=-435
–––––––––––
0+ 8y= 126
8y÷8 =126÷8
y=15.75
Substitute y into either original equation
3x+2(15.75)=87
3x+ 31.5=87
3x+ 31.5-31.5=87-31.5
3x=55.5
3x÷3=55.5÷3
x=18.5
Answer:
The expressions here are;
6 + 5w
3-16v
4v+ 1
7-v
Step-by-step explanation:
Here, out of the given set, we want to choose all options that are expression.
To do this, we should understand that expressions do not have the equality sign like equations
So expressions are those in the set in which we do not have an equality sign
The right answer is thus;
6 + 5w
3-16v
4v + 1
7-v
Answer:
x = 15
Step-by-step explanation:
9x - 5 = 7x + 25 ......(vertical angle and corresponding angle )
9x - 7x = 25 + 5
2x = 30
x = 30 / 2
x = 15
Answer:
An expression is shown below:
10n³− 15n² + 20xn² − 30xn
Part A: Rewrite the expression so the GCF is factored completely. (4 points)
10n³− 15n² + 20xn² − 30xn
2*5*n*n*n-5*3*n*n+2*5*2*x*n*n-2*5*3*x*n
<u>Greatest</u><u> </u><u>common</u><u> </u><u>factor</u><u>=</u><u>5</u><u>*</u><u>n</u><u>=</u><u>5</u><u>n</u>
Part B: Rewrite the expression completely factored. Show the steps of your work.
Solution given;
10n³− 15n² + 20xn² − 30xn
5n(2n²-3n+4xn-6x)
5n(2n²+4xn-3n-6x)
5n(2n(n+2x)-3(n+2x))
<u>5n(n+2x)(2n-3</u>)
Answer:
The interior angles are 80°, 30° and 70°.
Step-by-step explanation:
The sum of interior angle of a triangle is 180°. Two exterior angle of the triangle is given as 100° and 150°. The exterior angle of a triangle is equal to the sum of the opposite interior angle. The exterior angle is the angle between one side of a triangle .
Since angle on a straight line = 180°
Two interior angles can be calculated as follows
180 - 100 = 80°
180 - 150 = 30°
2 interior angles are known.
Note the sum of interior angle of a triangle is 180°
since 2 interior angle are known the third angle can be calculated as follows
180 - 80 - 30 = 70°
The interior angles are 80°, 30° and 70°.