Answer:
x=3 y=4
Step-by-step explanation:
x+y=7; x + 2y =11
step: solve x + y = 7 for x:
x + y+ -y =7 + -y (add -y to both sides)
x = -y + 7
step: substitute -y + 7 for x in x + 2y =11:
x + 2y = 11
-y + 7 + 2y = 11
y + 7 =11(simplify both sides of the equation)
y + 7 + -7 = 11 + -7 (add -7 to both sides)
y = 4
step: substitute 4 for y in x = -y + 7:
x = -y +7
x = -4 + 7
x = 3 (simplify both sides of the equation)
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we can use the Heron’s formula
Mathematically we have the Heron’s formula as;
A = √s(s-a)(s-b)(s-c)
where s = (a + b + c)/2
Thus, s = (15 + 12+ 10)/2 = 18.5
a = 15, b = 12 and c = 10
Plugging these values into the equation, we have
√18.5(18.5-15)(18.5-12)(18.5-10)
= √18.5(3.5)(6.5)(8.5)
= √ 3,577.4375
A = 59.8116
which is approximately 59.8 square units
16, 21, 26, 31, 36
just add five to each previous number to make it easier
Answer:
Percentage of free time Gary spends on playing video games and using internet = 54.29%
Step-by-step explanation:
Given:
Gary spends 10 hours per week on the internet.
Gary spends 9 hours per week on video games.
Gary has 5 hours free time per day.
To find the percentage of free time Gary is using to play video game and use the internet.
Solution:
Total number of hours of free time Gary has per week = 
<em>[As there are 7 days in a week so we multiply by 7]</em>
Total number of hours of free time Gary spends on playing video games and using internet per week =
Percentage of free time Gary spends on playing video games and using internet per week can be calculated as :
⇒
⇒ 
⇒ 54.29% (Answer)
Answer:
D
Step-by-step explanation:
Divide the composite shape into 2 rectangles.
The dimensions of the 2 rectangles are :
Then, we plug in the values.
1st Rectangle
7 * (14 + 10)
7 * 24
168
2nd Rectangle
9 * 10
90
Then, we add together.
168 + 90 = 258