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vladimir1956 [14]
3 years ago
8

jacob and zachary go to the movies theater and purchase refreshments for their friends. jacob spends a total of $18.55 on two ba

gs of popcorn and three drinks. zachary spends a total of $27.70 for four bags of popcorn and two drinks. write a system of equations that could used to find the price of one bag of popcorn and the price of one drink.
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0
X = # of bags of popcorn
y = # of drinks

Jacob: 2x + 3y = 18.55
Zachary: 4x + 2y = 27.70
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Oscar ran the 100-yard dash in 12.41 seconds. Jesiah ran the 100-yard dash in 11.85 seconds. How many seconds faster was jesiah'
julia-pushkina [17]
Ok to find the difference, you have to subtract. 12.41-11.85=0.56. It was 0.56s faster.
5 0
3 years ago
This is algebra 2. Would like an answer ASAP. Thanks! Between the two chunks of numbers, thats a division sign, not an addition
NeX [460]

Answer:

Simplified form of \frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2} is \mathbf{\frac{1}{(x+3)(x+4)} }

Option A is correct answer.

Step-by-step explanation:

We need to find simplified form of \frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}

Solving the given expression:

\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}

First we find factors of x^2+x-6

x^2+x-6 \\= x^2+3x-2x-6\\= x(x+3)-2(x+3)\\=(x-2)(x+3)

So, factors of x^2+x-6 are (x-2)(x+3)

Now, fining the factors of x^2+5x+4

x^2+5x+4\\=x^2+4x+x+4\\=x(x+4)+1(x+4)\\=(x+1)(x+4)

So, factors of x^2+5x+4 are (x+1)(x+4)\\

Now the given expression will become:

\frac{x+1}{(x-2)(x+3)}\div \frac{(x+1)(x+4)}{x-2}

Now, converting division sign into multiplication sign:

=\frac{x+1}{(x-2)(x+3)}\times \frac{x-2} {(x+1)(x+4)}\\Cancelling, \:common\:terms\\=\frac{1}{(x+3)(x+4)}

So, simplified form of \frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2} is \mathbf{\frac{1}{(x+3)(x+4)} }

Option A is correct answer.

4 0
3 years ago
40% of what number is 14
Virty [35]
0.4x = 14
x = 14/0.4 = 35
6 0
3 years ago
The length of Joseph’s rectangular poster is two times it’s width. If the perimeter is 24 inches, what is the area of the poster
leonid [27]
Let's assign the width to a variable, with that variable being x. the length is two times the width, so it would be 2x. the perimeter of a rectangle is length + length + width + width, so you would add 2x + 2x + x + x = 24 inches. combine like terms (x) to get 6x = 24. divide both sides by 6 to get x = 4. so the width (x) is 4, and the length (2x) is 8. the area of a rectangle is length times width, so multiply 4 * 8. that would get you 32 inches^2.
6 0
4 years ago
30 POINTS!!!
Daniel [21]

The unit rate that corresponds to the proportional relationship shown in the given graph above is: 4/3 cm/s.

<h3>How to Find the Unit Rate of a Proportional Graph?</h3>

The unit rate of a proportional graph is determined using the formula below:

k = y/x, where x and y are coordinates of any point on the line.

Thus, to find the unit rate of a proportional graph, pick the coordinates of any point on the line and find k = y/x.

From the given graph, let's pick the indicated point on the line having the coordinates, (12,16). Find k:

Unit rate (k) = 16/12

Simplify

Unit rate (k) = 4/3

Therefore, the unit rate that corresponds to the proportional relationship shown in the given graph above is: 4/3 cm/s.

Learn more about proportional graph on:

brainly.com/question/23318486

#SPJ1

8 0
1 year ago
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