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vova2212 [387]
3 years ago
11

Which expression is equivalent to 16+2⋅16?

Mathematics
1 answer:
kap26 [50]3 years ago
6 0
4(3 + 2x)(-3 + 2x)
Hope this is correct!
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A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti
andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of  first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

A + B = 30

Then the total amount of pure antifreeze in the mixture will be:

0.2A + 0.7B = 0.35 * 30

0.2A + 0.7B = 10.5

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

-0.7A -0.7B = -0.7*30

-0.7A -0.7B = -21

-0.7A -0.7B = -21

               +

0.2A + 0.7B = 10.5

--------------------------------------

-0.5A = -10.5

A = \frac{-10.5}{-0.5}

A = 21\ gallons

We substitute the value of A into one of the two equations and solve for B.

21 + B = 30

B = 9\ gallons

3 0
3 years ago
Two joggers run 8 miles north and 5 miles west . what is the shortest distance, to the nearest tenth of a mile, they must travel
kobusy [5.1K]

Answer:9.4 miles

Hope this helps

6 0
3 years ago
What fraction of a pound is 25 pence
scZoUnD [109]
There are 100 pence in a Pound. So  we have to divide 25 pence over this pound, or over 100 pence: 25/100 is 1/4, so 25 Pence is one forth of a Pound (or 25 % in percentages): 
8 0
3 years ago
If someone offers you a lottery ticket that has a 25 percent chance of winning $100, a 50 percent chance of winning $200, and a
g100num [7]

Answer: $375

Step-by-step explanation:

Given : The probability of winning $100 : P(100)= 0.25

The probability of winning $200 : P(200)= 0.50

The probability of winning $1000 : P(1000)= 0.25

Now, the the expected value of that lottery ticket is given by :-

P(100)\times 100+P(200)\times200+P(1000)\times1000\\\\=0.25\times100+0.50\times200+0.25\times1000\\\\=375

Hence, the the expected value of that lottery ticket =$375

3 0
3 years ago
What is the equation of the line that passes through the point (8,4) and has an undefined slope?
patriot [66]

Answer:

x = 8

Step-by-step explanation:

An undefined slope indicates that the line is vertical and parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (8, 4 ) with x- coordinate 8 , then

x = 8 ← equation of line

8 0
2 years ago
Read 2 more answers
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