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velikii [3]
3 years ago
8

Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina

l amount of savings left. What was the cos of the refrigerator?
Mathematics
1 answer:
Katena32 [7]3 years ago
4 0

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = \frac{2}{5} × ( A - 1600 )

The amount left in his saving account = \frac{1}{3} × A

Now, According to question

A - ( 1600 +  \frac{2}{5} × ( A - 1600 ) ) =  \frac{1}{3} × A

Or, A -  \frac{1}{3} × A = 1600 +   \frac{2}{5} × ( A - 1600 )

Or, \frac{2}{3} × A = 1600 + \frac{2}{5} × A - \frac{2}{5} × 1600

or,  \frac{2}{3} × A -  \frac{2}{5} × A = 1600 - 640

Or,  \frac{10 - 6 }{15} × A = 960

or,  \frac{4}{15} × A = 960

∴ A = \frac{960\times 15}{4}

I.e A = 3600

So, The amount in the saving account  is $3600

∵ , The amount spent on refrigerator = \frac{2}{5} × ( 3600 - 1600 )

Or,  The amount spent on refrigerator = \frac{2}{5} × 2000

I.e  The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

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Fed [463]

Answer:

We have 6( n - 24 ) = 8N;

Then 6n - 144 = 8N;

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-144 = 2N;

N = (-144)÷2;

N = - 72;

Step-by-step explanation:


6 0
3 years ago
Use the system of equations and graphs below to complete the sentence. x − 2 ⁢ y = 5 3 ⁢ x + 15 ⁢ y = − 6 Set of 4 graphs are re
Leno4ka [110]

The solution to the given system of linear equations is (3, -1)

<h3>Graph of Linear Equations</h3>

From the question, we are to determine the graph of the system of linear equations

The given system of equations is

x - 2y = 5

3x + 15y = -6

The graph of the given system of equation is shown below

From the graph,

The point of intersection of the lines is at (3, -1)

Hence, the solution to the given system of linear equations is (3, -1)

Learn more on Graph of Linear equations here: brainly.com/question/14323743

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4 0
1 year ago
The graph of f passes through (-6,9) and is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24 the
Valentin [98]

Given:

The graph of f passes through (-6,9).

It is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24.

To find:

The equation of the function f.

Solution:

The equation of line on which graph of f is perpendicular, is

\dfrac{x}{a}+\dfrac{y}{b}=1

where, a and b are x and y intercepts respectively.

\dfrac{x}{8}+\dfrac{y}{-24}=1

Multiply both sides by 24.

3x-y=24

Slope intercept form is

y=3x-24

Slope of this line is 3 and y-intercept is -24.

Product of slopes of two perpendicular lines is -1.

Let the slope of f is m. So,

m\times 3=-1

m=-\dfrac{1}{3}

Slope of m is -1/3 and it passes through (-6,9). So, the equation of function f is

y-y_1=m(x-x_1)

y-9=-\dfrac{1}{3}(x-(-6))

y-9=-\dfrac{1}{3}(x+6)

y-9=-\dfrac{1}{3}x-2

y=-\dfrac{1}{3}x-2+9

y=-\dfrac{1}{3}x+7

Put y=f(x).

f(x)=-\dfrac{1}{3}x+7

Therefore, the required function is f(x)=-\dfrac{1}{3}x+7.

7 0
3 years ago
Find the greatest common factor of each set of numbers 21 24 and 27
saveliy_v [14]
Greatest common factor is 3
3 0
3 years ago
What is the perimeter of the trapezoid?
Nikolay [14]

Answer:

88

Step-by-step explanation:

8x8=64

1/2(8x6)=24

64+24=88

7 0
3 years ago
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