Answer:
20 mph
Step-by-step explanation:
First problem:
The new speed is 26 mph.
The old speed was x.
The new speed is 30% higher than the old speed.
1.3x = 26
x = 20
Answer: 20 mph
Second problem:
A number, perhaps a percent or a fraction, is missing from the problem.
6(2x+5)-6=0
(12x+30)-6=0
+6 +6
12x+30=6
-30 -30
12x=-24
/12 /12
x=-2
MC=2(-2)+5
MC=-4+5
MC=1
LM=11
MC=1
LC=-18
50k is the same as 50,000
73% = 73/100 = 0.73
Multiply 50,000 with 0.73
50,000 x 0.73 = 36500
You spend $36500.
Subtract 36500 from the total
50,000 - 36,500 = $13,500
$13,500 is the amount of money you have left.
hope this helps
The answer is 36°.
Complementary angles are those angles whose sum is 90°.
Let angles be x and y.
x + y = 90°
x : y = 2 : 3
_____
3 * x = 2 * y
3x = 2y
x + y = 90°
_____
x = 2/3*y
x + y = 90°
2/3y + y = 90°
2/3y + 3/3y = 90°
5/3y = 90°
5y = 90° * 3
5y = 270°
y = 54°
x + 54° = 90°
x = 90° - 54°
x = 36°
The smaller angle is 36°
Considering the given system of equations, it is found that:
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the system is:
-8x+y=-6
3x-2y=-1
In matrix form, it is given by:
![\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%261%5C%5C3%26-2%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-6%5C%5C-1%5Cend%7Barray%7D%5Cright%5D)
To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:
More can be learned about a system of equations at brainly.com/question/24342899
