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Kobotan [32]
3 years ago
5

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Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

\frac{350}{1000} =\frac{x}{100}Answer:

Step-by-step explanation:

First we need to find out how much money is going to savings. To do this, we will subtract all the expenses from the initial 1000.

Initial-(total expenses)=Savings

Let's add all the expenses, to find the total expenses.

350+100+120+80=650

Now let's find the savings

1000-650=Savings

1000-650=350

Savings are $350

Now we need to find what percentage this is. We can set up an equation for this, where x is the percentage we want to find.

\frac{350}{1000} =\frac{x}{100}

\frac{350}{1000}=\frac{10x}{1000}

350=10x

35=x

Thus, 35% of Ian's budget goes towards savings.

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I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The
son4ous [18]

Answer:

x  =  15 ft

y  =  15 ft

A(max)  =  225 ft²

Step-by-step explanation:

Let call  "x "  and  " y "  sides of the rectangle x (side paralll to the northern  boundary, then:

A(r)  = x*y        and      4*x  +  2*2*y  =  120   or    4*x  + 4*y  = 120

4*x  +  4*y  = 120    ⇒  x  +  y  = 30    ⇒   y  =  30 - x

Area of the garden as a function of x is:

A(x)  =  x* ( 30 - x )    ⇒  A(x)  =  30*x  - x²

Taking derivatives on both sides of the equation

A´(x)  = 30  - 2*x

A´(x)  = 0   ⇒    30  - 2*x =  0

2*x  =  30

x = 30/2

x = 15 ft

And  y =  ( 30 - x )

y  =  15 ft

A(max)  =  15*15

A(max)  = 225 ft²

8 0
4 years ago
-2 4/6 ÷ -2/3<br><br>simplified
Amiraneli [1.4K]
Here is your answer good luck!

7 0
3 years ago
If x is Equal to 7, what is 7 divided by 3 and round it up
VikaD [51]

Answer:

2.3 or 2

Step-by-step explanation:

7 0
3 years ago
HOW CAN ARITHMETIC AND GEOMETRIC SEQUENCES BECOME LINEAR AND EXPONENTIAL FUNCTIONS?
aliina [53]
The formula of an arithmetic sequence is the following :
u_n=r\times n+u_0\text{ wherein r is the rate of the sequence}&#10;\\\text{and u0 the first value}\\\text{The above formula is linear wherever }u_0=0.
A geometric sequence is in the form:
u_n=u_0r^n\text{, again u0 the first value and r the rate. }\\\text{If }u_0=1\text{ the formula becomes:}\\u_n=r^n=e^{n\log r}\text{ which is an exponential formula.}
3 0
3 years ago
If 1/2 is 50%, how is 50% converted into a fraction
Dominik [7]

Step-by-step explanation:

Given Input Value = 50%

Place the Percentage Value at the top over 100.

50/100

The given fraction is

50/100

On <u>reducing</u> the fraction, we get the exact form

50/100

which would equal 1/2.

The exact form of the fraction is

1/2

In the decimal form, the fraction can be written as 0.5.

8 0
2 years ago
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