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makkiz [27]
3 years ago
5

Sue had 4 cos of sugar. she had to make 2 batches of brownies that needs 10/16 cup of sugar she also had to make 4 batches of su

gar cookies that needs 6/10 cup of sugar. How much sugar would be left ?
Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0
She would have 35/100 cups of sugar left
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Find the value of the following expression: (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whol
koban [17]

Answer:

\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}

Step-by-step explanation:

\left(2^8\cdot5^{-5}\cdot19^0\right)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot228\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{and}\ a^0=1\ \text{and}\ (a^n)^m=a^{nm}\\\\=\left(2^8\cdot\dfrac{1}{5^5}\cdot1\right)^{-2}\cdot\left(\dfrac{\frac{1}{5^2}}{2^3}\right)^4\cdot228=\left(\dfrac{2^8}{5^5}\right)^{-2}\cdot\left(\dfrac{1}{2^35^2}\right)^4\cdot228

=\dfrac{(2^8)^{-2}}{(5^5)^{-2}}\cdot\dfrac{1^4}{(2^3)^4(5^2)^4}\cdot228=\dfrac{2^{-16}}{5^{-10}}\cdot\dfrac{1}{2^{12}5^8}\cdot228\\\\\text{use}\ a^n=\dfrac{1}{a^{-n}}\to\dfrac{1}{a^n}=a^{-n}\\\\=2^{-16}\cdot5^{10}\cdot2^{-12}\cdot5^{-8}\cdot228\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=2^{-16+(-12)}\cdot5^{10+(-8)}\cdot228=2^{-28}\cdot5^2\cdot228\\\\=2^{-28}\cdot5^2\cdot4\cdot57=2^{-28}\cdot5^2\cdot2^2\cdot57=2^{-28+2}\cdot5^2\cdot57\\\\=2^{-26}\cdot5^2\cdot57=\dfrac{5^2\cdot57}{2^{26}}

\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}

4 0
3 years ago
An airplane travels at a constant speed of 320 miles per hour how far in miles will the airplane travel in 15 minutes
Gelneren [198K]

Answer:

80 Miles

Step-by-step explanation:

If you convert 15 minutes to hours, you get .25 hours. Then, you use that number and multiply it by 320 to get your answer; 80 miles.

5 0
3 years ago
Bob raises Guinea Pigs and Chinchillas on his beachfront oasis. There are a total of 60,005 animals at the oasis. The number of
raketka [301]
Let named variables as you said g- guinea pigs and c- chinchillas
System of equation is:

First is:   c+ g = 60,005 
Second is:   c= 2g+5

When we replace second in first we get:

2g+5+g = 60,005 => 3g+5= 60,005 => 3g= 60,000

g=60.000/3 = 20,000 => g=20,000

When this result we replace in the second equation we get

c= 2 * 20,000 +5= 40,000+5 = 40,005

c= 40,005

Good luck!!!!




6 0
3 years ago
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length
aleksley [76]

Answer:

/

Step-by-step explanation:

3 0
3 years ago
A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
shtirl [24]
<h3>Answer:  C) 13 gallons</h3>

============================================================

Work Shown:

(150 miles)/(6 gallons) = (325 miles)/(x gallons)

150/6 = 325/x

150*x = 6*325 .... see note below

150x = 1950

x = 1950/150 .... divide both sides by 150

x = 13 gallons is the final answer

-----------

Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.

6 0
3 years ago
Read 2 more answers
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