You should write numbers in as many ways as you possibly can to make new connections in your brain. Knowing how to write numbers in many different ways can help you solve difficult problems more easily. Doing this can also reinforce the mathematical principles and logic you have memorized. Hope this helped
37.5 per hour because you divide 150 by 4 to get how much per hour
Answer:
(1/2, 0), (0, -2)
Step-by-step explanation:
We can determine the slope from ...
slope = (change in y)/(change in x) = (10 -2)/(3 -1) = 8/2 = 4
Then an equation for the line can be written for slope m and point (h, k) as ...
m(x -h) -(y -k) = 0
Using the slope we calculated and the first point, we have the equation ...
4(x -1) -(y -2) = 0
4x -4 -y +2 = 0 . . . . . eliminate parentheses
4x -y = 2 . . . . . . . . . . put in standard form
Now, we can divide by the constant on the right to put this into intercept form:
x/(x-intercept) + y/(y-intercept) = 1
x/(1/2) + y/(-2) = 1
The x-intercept is 1/2; the y-intercept is -2.
Answer:
<em>173 children tickets were sold and 201 adult tickets were sold</em>
Step-by-step explanation:
Let the number of child ticket sold be x
Let the number of adult ticket sold be y
If the total number of ticket sold is 374, hence;
x +y = 374 .... 1
Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;
3x + 5y = 1524..... 2
Solve both equations simultaneously
From 1; x = 374 - y ...3
Substitute equation 3 into 2
3(374-y)+5y = 1524
1122-3y+5y = 1524
1122+2y = 1524
2y = 1524 - 1122
2y = 402
y = 402/2
y = 201
Since x = 374-7
x = 374 - 201
x = 173
<em>Hence 173 children tickets were sold and 201 adult tickets were sold</em>
<em></em>
Answer:
Total surface area = 340 cm²
Step-by-step explanation:
Surface area of the given prism = Area of two bases + Area of its lateral surfaces
Area of pentagonal base =
=
= 45 cm²
Area of the lateral sides of the prism = Perimeter of the pentagonal base × height
= (5×5)×10
= 250 cm²
Total surface area of the prism = 2(45) + 250
= 90 + 250
= 340 cm²