Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>What does the information want:</u>
<u>Let's gather some information</u>:
- ΔA'BC' and ΔABC are similar triangles
⇒ Angle B is shared by both triangles
⇒ Angle A' and A are the same, as they are both on parallel
lines, A'C' and AC, and both angles are formed with the
same line AB
⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles
<u>If they are similar triangles</u>:
⇒ their side lengths are proportional to each other
⇒ let's set up a proportion
⇒ let's set up a proportion
<u>Answer:</u>
- <u>x= 17.143</u>
- <u>y = 26.25</u>
Hope that helps!
#LearnwithBrainly
13 - 4/7 = <span>12.4285714286 Or when you round it 12.43</span>
Answer:
She earns $6.50 from the Smiths which is 25 cents more than she earns at the Nelsons.
Step-by-step explanation:
To solve this problem you must find the hourly rate she earns at the Smiths. This will allow you to compare to the hourly rate that is given for the Nelsons. To find the Smiths hourly rate divide $39 by the 6 hours she babysat there. This will have the hourly rate. 39/6=6.5. This means she earns $6.50 an hour for the Smiths. When comparing the rates it is clear that she earned 25 cents more at the Smiths.
Well, to get rid of them, you would have to add or subtract that fraction to both sides of the equation (making them still equal to each other), so it would just get too complicated to completely get rid of a fraction. That is, if you don't need to.
Answer:
20 rands/kg
130,000 kg
Step-by-step explanation:
The equilibrium quantity and price are the solution to the system of equations ...
p = 120 -0.7q
p = 3 + 0.2q
Setting these equal, we get ...
0.2q +3 = p = -0.7q +120
0.9q = 117 . . . . . . . add 0.7q-3 to both sides
q = 117/0.9 = 130
p = 3 +0.2·130 = 29
The equilibrium price of maize meal is 29 rands per kg; the market equilibrium quantity is 130,000 kg.
