Answer:
Step-by-step explanation:
What is known....AC=75 AB=4 times BC AB+BC=AC
4(BC)+BC=75 Add like numbers
4(BC)+BC=5BC
5(BC)=75 get the variable(BC) alone by dividing both sides by the number(5)
5(BC)/5=75/5 Then simplify....5(BC)/5=(BC) and 75/7=15
(BC)=15
The first thing we should do is to multiply 50 and 13 3/4
13 3/4 is equivalent to 13.75 .
So, we then multiply
50 x 13.75 and we get 687.50.
so, $687.50 was the amount spent on the stock.
Now, lets find out how much they sold them for:
What we do is multiply 12 and 50
50 x 12 would be 600
We can find out the loss by subtracting
$687.50 - $600 and that gives us $ 87.50.
Therefore, $87.50 is your answer :)
Answer:
![x=8](https://tex.z-dn.net/?f=x%3D8)
Step-by-step explanation:
Since the two triangles are similar, write the following proportion:
![\frac{24}{16}=\frac{15}{2x-6}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B16%7D%3D%5Cfrac%7B15%7D%7B2x-6%7D)
Cross-multiply and solve:
.
Answer:
The dimensions of the sandbox will be 15 feet by 8 feet.
Step-by-step explanation:
Suppose we want to build a rectangular sandbox where the width is 7 less than the length and the diagonal is 2 feet longer than the length.
If x is the length and y is the width in feet, then we have the equations
x - y = 7 ......... (1) and
........ (2)
Now, solving equations (1) and (2) we get
⇒
Now, squaring both sides we get,
x² + x² - 14x + 49 = x² + 4x + 4
⇒ x² - 18x + 45 = 0
⇒ (x - 15)(x - 3) = 0
⇒ x = 15 or 3
But from equation (1) x ≠ 3, then x = 15 and y = x - 7 = 8
Therefore, the dimensions of the sandbox will be 15 feet by 8 feet. (Answer)
Sorry this is just for points