First, you need to divide 12.5/2.5= 5. After that, you need to multiply 17.50x5=87.50. So your answer is $87.50.
To get the answer we can use proportion
8 ginger ----------------- 3 fruit
12 ginger ----------------x
Crossmultiply now
8x=12*3 /:8
x=
x=<u />
To not change ratio we have to have 4.5 cups of fruilt juice. We initialy had 3, so we have to add 1.5 cup of fruit juice.
Answer:
A:
Misaki had 2 identical pencils that weighed a total of 19 grams, where x is the number of pencils and y is the total weight of the pencils.
Step-by-step explanation:
One of the points is 2 and 19, 2 is along the x axis and 19 is along the y axis
The first thing we should do is see what relationship we have:
Table is feet to yards 3-1
a. Describe the relationship between the number of feet and the number of yards
That is to say:
1Yarda = 3 feet
b. Write an expression for the number of yards in f feet
Let
y = Yard
f = feet
We have the following expression for the conversion:
y = (1/3) f
c. Find the number of yards in 63 feet
For this case we must substitute in the expression found the value of f = 63.
y = (1/3) f
y = (1/3) (63)
y = 21
answer:
1Yarda = 3 feet
y = (1/3) f
y = 21
The value of that <span>(√5 + 1)/8 and We can prove it like this:
</span>cos 2A= 2cos^2 A-1=1-2sin^2 A
<span>so cos^2 48 – sin^2 12 </span>
<span>=(1/2)(1+cos 96) - (1/2)(1-cos24) </span>
<span>=(1/2)(cos 96 +cos 24) and using cos(A)+cosB)=2cos((A+B)/2)cos((A-B)/2) </span>
<span>=cos60cos36 </span>
<span>=(1/2)cos36 </span>
<span>and you have to find cos36. </span>
<span>Suppose 5x=180, then </span>
<span>cos(5x)=cos(180) then x=-180,-108, -36, 36, 108 </span>
<span>Also 3x=180-2x </span>
<span>so cos(3x)=cos(180-2x)=-cos2x </span>
<span>so 4cos^3(x) -3cos(x)=1 - 2cos^2(x) </span>
<span>giving 4c^3+2c^2 - 3c-1=0 where c=cosx </span>
<span>c=-1 is a root and factorizing gives </span>
<span>(c+1)(4c^2-2c-1)=0 </span>
<span>so 4c^-2c-1=0 giving </span>
<span>c=(2±√20)/8=(1±√5)/4 and these have values cos(36) and cos(108) </span>
<span>the positive root is therefore cos(36)=(1+√5)/4 </span>
<span>and the required value (1/2)cos(36)=(1+√5)/8
</span>I think this can be very useful
