1 3/4 hours* (2/3)= 1 1/6 hours.
They spent 1 1/6 hours studying insects~
Answer:
She sold 39 tall candies and 52 short candies
Step-by-step explanation:
x is all the tall candies
y is all the short candies
x+y=91
8x+5y=572
Use the method of Substitution to find out both x and y.
x=91-y
8(91-y)+5y=572
728-8y+5y=572
728-3y=572
3y=156
y=52
x+52=91
x=39
One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:
– Multiplied: Add their exponents
– Divided: Subtract their exponents
We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have
[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]
For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us
5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2
And summing the terms in the second:
3 + 1/2 + (-10) = 3 1/2 + (-10) = -6 1/2
Putting those both into our first question gives us -6 1/2 - (-6 1/2), which is 0, since any number minus itself gives us 0.
Now we can bring the 2 back into the mix. The 0 we found is the exponent the 2 is being raised to, so our answer is
2^0, which is just 1.
Answer:
12 square feet
Step-by-step explanation:
The shape of the top of the desk is a trapezoid.
A = (b1 + b2)h/2
A = (5 ft + 3 ft)(3 ft)/2
A = (8 ft)(3 ft)/2
A = 24 ft^2/2
A = 12 ft^2
Answer: 12 square feet
Answer:
Step-by-step explanation:
Vertically opposite angles are equal.
8y + 36 = 14y -24 Subtract 36 to both sides
8y = 14y - 24 - 36 Combine
8y = 14y - 60 Subtract 14y from both sides
8y - 14y = - 60
-6y = -60 Divide by - 6
-6y/-6 = -60/-6
y = 10
===========================
x +48 = 64 Subtract 48 from both sides
x +48 - 48 = 64-16
x = 16
