Et the numerator be x, so the denominator is x + 4. So we have:
<span>x/(x + 4) = 9/15 (cross multiply) </span>
<span>15x = 9(x + 4) </span>
<span>15x = 9x + 36 </span>
<span>15x </span>- 9x<span> = 9x - </span>9x<span> + 36 </span>
<span>6x = 36 </span>
6x/6<span> = 36</span>/6
x = 6
x + 4<span> = 6 + 4 = </span>10
<span>Sine the numerator is 6 and the denominator is 10, then the fraction is 6/10, which in the simplest form is equal to 3/5. </span>
<span>Since 9/15 in the simplest form is also equal to 3/5, then 6/10 is equivalent to 9/15. </span>
<span>Thus, 6/10 is the required fraction. hope i helped</span>
Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
Answer:
c.) 31
Step-by-step explanation:
comment if u need explanation :))
Answer:
i believe a quadratic function
Step-by-step explanation:
quadratics are when an equation is x^2 so yeah (sorry if thats not what it's asking)
Answer:
40
Step-by-step explanation:
Two ways we can solve this problem:
1. Graphically
2. Mathematically
Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.
Let's break the problem down.
First, we are given a graph which contains a slope.
To find slope, we use the technique -> rise/run
Picking 2 obvious points from the graph, we can see
1st point -> (10, 20)
2nd point -> (40, 80)
Now, let's find the slope

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar
We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y
y = 2x -> 80 = 2x
Solving for x, divide both sides by 2
40 = x
We need 40 cups of sugar.