Answer: There are 20 students and 4 students are not here today.
Step-by-step explanation:
If the number of students = 4
Let the number of students be 'x'.
Fraction of students absent = ![\dfrac{x}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B4%7D)
If the number of students = 5
Fraction of students absent = ![\dfrac{x}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B5%7D)
And Jen came back,
So, the fraction of student absent is also written as
![\dfrac{x}{4}-1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B4%7D-1)
According to question, it becomes,
![\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B5%7D%3D%5Cdfrac%7Bx%7D%7B4%7D-1%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B5%7D%3D%5Cdfrac%7Bx-4%7D%7B4%7D%5C%5C%5C%5C4x%3D5%28x-4%29%5C%5C%5C%5C4x%3D5x-20%5C%5C%5C%5C4x-5x%3D-20%5C%5C%5C%5C-x%3D-20%5C%5C%5C%5Cx%3D20)
Hence, there are 20 students in our school.
And number of students are not here today is ![\dfrac{20}{5}=4](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B5%7D%3D4)
Answer:
20
Step-by-step explanation:
The midsegment of a trapezoid is calculated as
=
=
= 20
Answer:
x = 1.25
Step-by-step explanation:
-3x+10 = 5x-8
+3x +3x
10 = 8x - 8
+8 +8
18 = 8x
x = 18/8
x = 1 1/4 = 1.25
Answer:
Markup of _66.67_ % or $ _33,92_ per pair of boots
Step-by-step explanation:
In order to find the markup per pair of boots, we need to find the sales price BEFORE tax.
That can be done simply with a cross-multiplication (106.25 represents total price with 6.25% tax, and 100 represent amount of sales before tax)
![\frac{90.10}{106.25} = \frac{x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B90.10%7D%7B106.25%7D%20%3D%20%5Cfrac%7Bx%7D%7B100%7D)
if we isolate x we have x = (90.10 * 100) / 106.25 = $84.80
We can then easily calculate the markup amount, since the boots were sold $84.80 and Marissa paid $50.88, that means her markup amount is $33.92.
Now, let's calculate the markup percentage by see how much $33.92 represents compared to the initial price of $50.88:
$33.92 / $50.88 = 66.67%