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anygoal [31]
3 years ago
10

at 9:00, paula has x cups of food in a container for her dog. paula pours a 2 1/2 cup box of food into the container. then she r

emoves 3/4 cup of food to feed her dog. now there are 5 1/4 cups of food in the container. Write an equation that can be used to determine the number of cups, x, of food in the container at 9:00. Write the solution to your equation.
Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
X + 2 1/2 - 3/4 = 5 1/4   To find x, go backwards in the equation.
5 1/4 + 3/4 = 6 cups
6 - 2 1/2 = 3 1/2 cups
x = 3 1/2 cups
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Step-by-step explanation:

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Here r = 15, thus

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6 0
3 years ago
One day a store sold 21 sweatshirts. white ones cost​ $9.95 and yellow ones cost $ 11.50. in​ all, ​$235.30 worth of sweatshirts
FromTheMoon [43]
For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
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w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.
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Step-by-step explanation:

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a scientist notes that the number of bacteria in a colony is 50.3, hours later she notes that the number of bacteria has increas
Yuri [45]

The time it would take for the bacteria to reach 1119 is 5.83 hours

<h3>Calculations and Parameters:</h3>

Given the function:

Pt= P_0e^k^t

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To find the exponential growth;

80 = 50e^k^*^3

k= 1.6/3\\k= 0.533

If there is a constant growth, then to get to 1119:

1119= 50e^0^.^5^3^3^*t

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

Read more about exponential growth here:

brainly.com/question/2456547

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