Answer:
<em>There are 72 crayons in the box</em>
Step-by-step explanation:
<u>Fractions</u>
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:
![1-\frac{4}{9}=\frac{5}{9}](https://tex.z-dn.net/?f=1-%5Cfrac%7B4%7D%7B9%7D%3D%5Cfrac%7B5%7D%7B9%7D)
From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:
![\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}](https://tex.z-dn.net/?f=%5Cdisplaystyle%2035%5C%25%3D%5Cfrac%7B35%7D%7B100%7D%3D%5Cfrac%7B7%7D%7B20%7D)
Thus, the portion of yellow crayons is:
![\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B7%7D%7B20%7D%5Ccdot%20%5Cfrac%7B5%7D%7B9%7D%3D%5Cfrac%7B7%7D%7B36%7D)
This fraction of x crayons is equal to 14, thus:
![\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B14%7D%7B%5Cfrac%7B7%7D%7B36%7D%7D%3D14%5Ccdot%5Cfrac%7B36%7D%7B7%7D)
x = 72
There are 72 crayons in the box
Hey,
If you were to divide 137/7 it would be it would be 19 or if you wont a decimal it would be 19.5
I Hoped that Helped
Answer:
KL = 5.25
LJ = 6
Step-by-step explanation:
i don’t know the first one
The legs of an isosceles triangle are congruent; they have the same length, so if one leg measures 2 m, the other leg also measures 2 m.
2m + 2m + b = 7.5 m
b + 4 m = 7.5 m
b = 3.5 m
The length of the base is 3.5 m.
Answer:
Second point (-5/2, -7/2)
First point (3/2, 17/2)
Step-by-step explanation:
We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.
4x2+ 7x -11=y
3x+4=y
Lets use substitute method
4x2+7x-11=3x+4
This can be re arrange as the following eq:
4x2+4x-15=0
A quadratic equation, its solution can be obtained using the below eq.
![x=\frac{-b+/- \sqrt{x^{2}-4ac } }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bx%5E%7B2%7D-4ac%20%7D%20%7D%7B2a%7D)
where a=4, b=4, c=-15.
Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.
By doing the above, we have x=-5/2 and x=3/2
By using x=3/2 in equation of line (3x+4=y) we have y=17/2
First point (3/2, 17/2)
By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2
Second point (-5/2, -7/2)
Those points are the ones where the line and the parabola intercept.