Answer:
4^2
Step-by-step explanation:
4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!
Answer:
(y-5t)/5=x
Step-by-step explanation:
y=5t+5x
factorize
y=5(t+x)
divide both sides by 5
y/5=5(t+x)/5
y/5=t+x
make x to stand alone
y/5-t=x
take lcm of 5 and 1
y/5-5t/5
y-5t/5=x
From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.
Tony:
2x+3.5y=355
Rae:
2x+3y=320
Now you can solve the equations by subtracting Rae's equation from Tony's
.5y=35 solve for y and you get 70
Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:
2x+3(70)=320
x=55
Answer:
2/3 + 2/3 + 1/3.
Step-by-step explanation:
You can use equivalent fractions. 6 is 2x more than <u>3</u>. You can use three as the denominator.
Answer:
3
Step-by-step explanation:
<u>1) Find two corresponding lengths between the image and the pre-image</u>
Pre-image (bottom side) = 3 units
Image (bottom side) = 9 units
We can use any corresponding lengths for this step.
<u>2) Divide the length of the side from the image by the length of the side from the pre-image</u>
9 units ÷ 3 units
= 3
Therefore, the scale factor of the dilation is 3.
I hope this helps!