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Mkey [24]
3 years ago
6

Holly plans to attend community college next year. Her expenses are only $1,200 because her parents are paying the rest. Holly e

arned a $750 scholarship. How much will she need to pay from her savings? $450 $750 $1,200 $1,950
Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0
$450 because 1,200 minus 750 is 450. 1200 being expenses and 750 being scholarship. 
g100num [7]3 years ago
4 0

Answer:

The correct answer is option A, $ 450\\

Step-by-step explanation:

Expenses of Holly = $1,200

Scholarship values earned = $750

The additional amount required to be paid  over and above the scholarship amount  

= $1,200 - $750\\= $ 450\\

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Solve the system: <br> 2/x - 3/y =-5; 4/x + 6\y =14
sertanlavr [38]

The solution is x = 2 \text{ and } y = \frac{1}{2}

<em><u>Solution:</u></em>

Let us assume,

a = \frac{1}{x}\\\\b = \frac{1}{y}

<em><u>Given system of equations are:</u></em>

\frac{2}{x} - \frac{3}{y} = -5

\frac{4}{x} + \frac{6}{y} = 14

<em><u>Rewrite the equation using "a" and "b"</u></em>

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

a = \frac{4}{8}\\\\a = \frac{1}{2}

Substitute a = 1/2 in eqn 1

2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2

Substitute b = 2 in assumed value

b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}

Thus the solution is x = 2 \text{ and } y = \frac{1}{2}

3 0
3 years ago
I need help with this problem and show your work plz thanks
coldgirl [10]
Well is just their sum, thus

\bf \cfrac{3}{4}+\cfrac{2}{3}\impliedby \stackrel{LCD~is}{12}\implies \cfrac{(3)3+(4)2}{12}\implies \cfrac{9+8}{12}\implies \cfrac{17}{12}\implies 1\frac{5}{12}
5 0
3 years ago
Bred has to paint a wall with 8 horizontal stripes. He has enough paint only for 5 blue, 5 red and 5 white stripes. If he can us
Kay [80]

Answer:

336

Step-by-step explanation:

Required Formulas:-

1. Number of ways to select x things out of n things = ⁿCₓ

2. Number of ways to arrange n things when a things and b things are similar = n!/(a!*b!)

Since we have to choose 8 colors and we are having 3 different colors, it is only possible when we select 2 different colors (e.g. 5 red and 3 blue). To find all possible ways we will have to find all unique arrangements of selected color.

Using formula (1), number of ways to select 2 colors out of given 3 colors = ³C₂ = 3

Using formula (2), finding all unique arrangements when 5 stripes are of one color and 3 stripes are of second color = 8!/(3!*5!) = 56

Suppose, we can choose 5 stripes from red color and 3 stripes from blue color or 5 strips from blue color and 3 strips from red color. So there are 2 possibilities of arranging every 2 colors we choose .

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Answer:

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Answer:

A or D is the answers for the question

Step-by-step explanation:

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