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Crazy boy [7]
3 years ago
15

Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total sco

re for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.
Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

222 = score in 2nd game

Step-by-step explanation:

Let x = score in 1st game

3/4(x) + 30 = score in 2nd game

x + 3/4(x) + 30 = 478         Multiply thru by 4 to eliminate the fraction

4x + 3x + 120 = 1912

7x + 120 = 1912

7x = 1792

x = 256

3/4(x) + 30 = 3/4(256) + 30

= 192 + 30

222 = score in 2nd game

Check:  222 + 256 = 478

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There are 320 apples in a bag.James receives 45% of the apples, his brother receives 30% of the apples and his sister, Eden rece
Sav [38]

Answer:

20 apples

Step-by-step explanation:

First, there are 320 apples that need to be split up between the siblings. We are first working with percentages. The total amount will be 100 percent. James has 45% and his brother has 30%. 45% + 30% is 75%. We subtract that from 100% and get 25%. That means that Eden gets 25% of 320 apple's. That's 320 * .25 or 320 / 4. That is 80 apples for Eden. If she gives 75% of her 80 apples, that means she gives 60 apples away. 80*.75 = 60. Eden would then only have 20 apples left. 80-60=20.

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X2 + 9x+ c <br><br><br> A. 81/4<br> B. 81/2<br> C. 9/4<br> D. 9/2
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Answer:

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Step-by-step explanation:

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2 years ago
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Write expressions for the following scenarios.
elena-s [515]

Answer:

flaimgo/albert

Step-by-step explanation:

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3 years ago
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Suppose the system of linear equations has no solution. Which is NOT a possible value of the constant for the second equation?
Tom [10]

Answer:

  A)  5

Step-by-step explanation:

The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.

The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.

4 0
3 years ago
he​ half-life for a link on a social network website is 2.6 hours. Write an exponential function T that gives the percentage of
pychu [463]

Answer:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

Step-by-step explanation:

Previous concepts

The half-life is defined "as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not".

Solution to the problem

The half life model is given by the following expression:

A(t) = A_o (1/2)^{\frac{t}{h}}

Where A(t) represent the amount after t hours.

A_o represent the initial amount

t the number of hours

h=2.6 hours the half life

And we want to estimate the % after 5.5 hours. On this case we can begin finding the amount after 5.5 hours like this:

A(5.5) = A_o (1/2)^{\frac{5.5}{2.6}}

Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:

% Remaining = \frac{|A_o - A_o(1/2)^{\frac{5.5}{2.6}}|}{A_o} x100

We can take common factor A_o and we got:

% Remaining= [1-(1/2)^{\frac{t}{2.6}}]x100

And replacing the value t =5.5 hours we got:

% Remaining = [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%

5 0
3 years ago
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