Answer:
m = 50
Step-by-step explanation:
Simplify:
9 + m/5 = 19
9 + 1/5m = 19
1/5m + 9 = 19
Subtract 9 from both sides:
1/5m + 9 - 9 = 19 - 9
1/5m = 10
Multiply both sides by 5:
5 ⋅ ( 1/5m ) = ( 5 ) ⋅ (10)
<h2>Therefore m = 50</h2>
Answer:
Exponential function
Step-by-step explanation:
Let's say that number is "x", therefore "x" is the 100%, and we know that 15 is 1 and 1/2% of that,
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔
![\frac{AD}{EH} = \frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAD%7D%7BEH%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20)
![\frac{8}{EH} = \frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7BEH%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20)
Cross multiply
![3*8 = 2*EH](https://tex.z-dn.net/?f=%203%2A8%20%3D%202%2AEH%20)
![24 = 2*EH](https://tex.z-dn.net/?f=%2024%20%3D%202%2AEH%20)
Divide both sides by 2 to make EH the subject of formula
![\frac{24}{2} = \frac{2*EH}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B2%7D%20%3D%20%5Cfrac%7B2%2AEH%7D%7B2%7D%20)
![12 = EH](https://tex.z-dn.net/?f=%2012%20%3D%20EH%20)
The length of side EH = 12 m
Answer:
Equation: 3x + 7 = 16
Unknown Number: 3
Step-by-step explanation:
You must first develop an equation representing this problem:
3x + 7 = 16
Then, you can solve for the unknown number.
3x + 7 = 16
3x = 9
x = 3