Answer:
17x
Step-by-step explanation:
y=mx + b=5x +12=17x
that is all
Answer:
a. Fraction of earnings that Mariano put into each piggy bank is 1/12
b. Mariano earns $28.8
Step-by-step explanation:
Mariano divides his earning in a saving account and 3 piggy banks.
First , we have to know the fraction that we divide in the 3 piggy banks.
Piggy banks =Total earning-Saving account
Saving account 3/4,
Total earning is 1
to rest both term we have to get the same denominator , so we can say that the total earning is 4/4
Piggy banks =4/4-3/4=( 4-3)/4=1/4
Piggy banks =1/4
Each piggy bank will be 1/3 of that 1/4
1/3 x 1/4=
For fraction multiplication, multiply the numerators and then multiply the denominators to get
1×1/3×4=1/12
This fraction cannot be reduced.
b. Mariano adds $2.40
1/12 is 2.40
total earning is ?
We use cross-multiplication
a/b=c/d replacing (1/12)/2.40 = 1/ ?
So, the total earning (?) is 1 x 2.40/ (1/12)
= 2.40 x 12=$28.8
Step-by-step explanation:
The equation of line A:
y-1=0, 5x-3
y=0, 5x-2. Hence its gradient is 0,5
For line B, its you intercept is -8, so y=mx-8.
When x = -4, y=-4m -8 =0 as shown in the graph. This means that m = -2.
Since |-2| > |0, 5|, line B is steeper than line A.
Answer:
Option D. ![44\ cm^{2}](https://tex.z-dn.net/?f=44%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
![A=\frac{1}{2}[b1+b2]h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bb1%2Bb2%5Dh)
we have
![b1=8\ cm](https://tex.z-dn.net/?f=b1%3D8%5C%20cm)
![b2=(4+8+2)=14\ cm](https://tex.z-dn.net/?f=b2%3D%284%2B8%2B2%29%3D14%5C%20cm)
![h=4\ cm](https://tex.z-dn.net/?f=h%3D4%5C%20cm)
substitute the values
![A=\frac{1}{2}[8+14](4)=44\ cm^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B8%2B14%5D%284%29%3D44%5C%20cm%5E%7B2%7D)
<u>We are provided that</u> –
<u>Applying identity</u> –
![\twoheadrightarrow\bf(w-10x) (w+10x)](https://tex.z-dn.net/?f=%5Ctwoheadrightarrow%5Cbf%28w-10x%29%20%28w%2B10x%29)
![\twoheadrightarrow\bf w^2 - (10x)^2](https://tex.z-dn.net/?f=%5Ctwoheadrightarrow%5Cbf%20w%5E2%20-%20%2810x%29%5E2)
![\twoheadrightarrow\bf w^2 -100 x^2](https://tex.z-dn.net/?f=%5Ctwoheadrightarrow%5Cbf%20w%5E2%20-100%20x%5E2)