Answer:
9. -4x+19y-7
10. 7x+20
Step-by-step explanation:
9. To simplify this expression, simply combine like terms. Add all of the terms with the x variable together, then the terms with the y variable, then the constant terms. I will show this step by step, but usually you do not have to show this work. The order of the terms does not matter.
x variable terms: (4x-8x)+7y-2+6y+6y-5= -4x+7y-2+6y+6y-5
y variable terms: (7y+6y+6y)-4x-2-5=19y-4x-2-5
constant terms: (-2-5)-4x+19y=-4x+19y-7
10. To simplify this expression, expand all terms and then combine like terms. The first term can be expanded by multiplying each term in the parentheses by 2.
Expand terms: 2(5+3x)+(x+10)= 10+6x+x+10
Now, you can combine like terms as done on the last problem. Note that I got rid of the parentheses in the second term, as they did not matter (since there was no term in front of them).
x variable terms: (6x+x)+10+10=7x+10+10
constant terms: (10+10)+7x=7x+20
Answer:
The last one is a histogram. Histograms usually have that bar shape, and shows the fluctuation over time.
A scale of 1:40 can be read as "one cm on the model corresponds to 40 cm in the original object". or
"one inch on the model corresponds to 40 inches
this means that the 2 inches correspond to 2 times 40, that is 80 inches and 1.5 corresponds to 1.5*40=60 inches
which means that the original painting has dimensions of 80 by 60 inches.
b) Area = 80 cm * 60 cm = 4,800 cm²
c) 80 cm * 1 inch / 2.54 cm = 31.50 inches ;
60 cm * 1 inch/2.54 cm = 23.60 inches
d) Area = 31.50 in * 23.60 in = 743.40 inches²
Answer;
Sean got 24 points
Katie got 31 points
Kevin got 8 points
Emily got 12 points
Sorry I cannot give proper explanation because of typo issues.
Hope that can help.
Answer:
Slope, m = 5
Step-by-step explanation:
Picking points on the x-axis and y-axis of the graph;
Point on x-axis (x1, x2) = 2, 4
Points on the y-axis (y1, y2) = 10, 20
To find the slope;
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope, m = 5
