Answer:
Equation: 2x + 5 + 6x + 15 = 92
Solution: x = 9
m∠A =23° m∠B = 69°
Step-by-step explanation:
measure of ∠B = 3(2x + 5) = 6x + 15
The sum of the angles = 92 = 2x + 5 + 6x + 15
92 = 8x + 20
72 = 8x
x = 9
m∠A = 2(9) + 5 = 18 + 5 = 23
m∠B = 6(9) + 15 = 54 + 15 = 69
Check: 23 + 69 = 92 and 23(3) = 69
Answer:
x=2
y=3
Step-by-step explanation:
x/2+y/3=2 so
3x/6+2y/6=12/6
then multiply by 6
<em>3x+2y=12</em>
equation number 2
x/3+y/2=13/6
2x/6+3y/6=13/6
multiply by 6
<em>2x+3y=13</em>
so the system is now
<em>3x+2y=12</em>
<em>2x+3y=13</em>
<em>from the first equation 2y=12-3x, y=6 - 3x/2</em>
<em>then put y in the second equation</em>
<em>2x+3*(6-3x/2)=13</em>
<em>2x+18-9x/2=13</em>
<em>2x-9x/2=13-18</em>
<em>4x/2-9x/2=-5</em>
<em>-5x/2=-5</em>
<em>*(-1/5) *(-1/5)</em>
<em>x/2=1</em>
<em>*2 *2</em>
<em>x=2</em>
<em>so y=6-3*2/2=6-3</em>
<em>y=3</em>
<em></em>
<em></em>
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Answer:
The answer is: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
Step-by-step explanation:
Hope this helped :)
Answer:
C: 48 straws
Step-by-step explanation:
First, find the perimeter of one picture frame: (2 x length) + (2 x width). Convert 20 centimeters to millimeters so that you are working in the same units; there are 10 millimeters in 1 centimeter, so 20 centimeters = 200 millimeters.
(2 x 200) + (2 x 120) = 400 + 240 = 640
Each picture frame has a perimeter of 640 millimeters.
Next, figure out how many straws are needed for one picture frame:
640/80 = 8
Jana uses 8 straws for each picture frame. Since she is decorating 6 picture frames, solve 6 x 8 = 48.
Jana needs 48 straws to complete her project.
Complete Question
Jessica pays a flat rate of $70 for her cell phone and is charged $0.05 for every text she sends. Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.
Answer:
<em>Inequality: </em>70 + 0.05x < 80
<em>Solution: </em>x < 200
Step-by-step explanation:
Let x represents the minimum number of SMS.
If 1 SMS is charged at $0.05, then x SMS would be charged at $0.05x
Considering that she pays a flat rate of $70.
The inequality to represent the minimum number of SMS she needs to send is:
70 + 0.05x < 80
To solve this inequality, follow the following steps
Collect like terms
0.05x < 80 - 70
0.05x < 10
Divide through by 0.05
0.05x/0.05 < 10/0.05
x < 10/0.05
x < 200
The solution to the inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00 is x < 200.
