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Kruka [31]
3 years ago
12

A company spent 32% of its annual budget developing a new machine. What fraction of the company’s budget was spent developing th

e new machine?
Mathematics
1 answer:
Pavel [41]3 years ago
4 0
Not for sure. maybe percent is always out of 100 i know that. hope it helps!
You might be interested in
Sara is collecting signatures to pu on her towns ballot. So far, she has 432 signatures. This is 36% of the number of signatures
In-s [12.5K]

Sara needs to collect 1200 signatures.

Step-by-step explanation:

Let,

x be the total number of signatures she needs to collect

Given percentage = 36%

Signature collected = 432

According of statement;

36% of x = 432

\frac{36}{100}*x=432\\

\frac{36x}{100}=432\\Multiplying\ both\ sides\ by 100\\100*\frac{36x}{100}=432*100\\36x=43200\\Dividing\ both\ sides\ by\ 36\\\frac{36x}{36}=\frac{43200}{36}\\x=1200

Sara needs to collect 1200 signatures.

Keywords: Percentage, Division

Learn more about percentages at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

6 0
2 years ago
Given f(x) = log(x+1), x >-1 and g(x) = x^2 + 2x, XER find (f•g)(1)​
worty [1.4K]

Answer:

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Example 3. Given f ( x ) = x2

+ 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

Solution

Step 1. Solve for ( f g ) ( x ).

Since ( f g ) ( x ) = f ( x ) * g ( x ) , then

= (x2

+ 1 ) ( x – 4 )

= x

3

– 4 x2

+ x – 4 .

Step 2. Find ( f g ) ( 3 ).

Since ( f g ) ( x ) = x3

– 4 x2

+ x – 4, then

( f g ) ( 3 ) = (3)3

– 4 (3)2

+ (3) – 4

= 27 – 36 + 3 – 4

= -10

Example 4. Given f ( x ) = x + 1 and g ( x ) = x – 1 , find ( x ) and ( 3 ). f

g

⎛ ⎞ ⎜

⎝ ⎠

f

g

⎛ ⎞ ⎜

⎝ ⎠ ⎟ ⎟

Solution

Step 1. Solve for ( x ). f

g

⎛

⎜

⎝ ⎠

⎞

⎟

Since ( x ) = , then ( )

( )

f x

g x

f

g

⎛

⎜

⎝ ⎠

⎞

⎟

= ; x ≠ 1 1

1

x

x

+

−

Step 2 Find . ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

Since = , then 1

1

x

x

+

− ( ) f x

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

3 1

3 1

+

− ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

4

2

= 2

Step-by-step explanation:

did this Help?

3 0
2 years ago
Bill has $20. He goes to the deli and spends $5 on a sandwich, $2 on a drink, and $1 on a bag of chips. How much money does bill
nadezda [96]
Bill will have $12 left


3 0
2 years ago
Read 2 more answers
An artificial soccer pitch is 91 meters long and 43 meters wide. If the cost of the pitch is AED 20 per square meter. What is th
Novosadov [1.4K]

The Cost of installing the artificial soccer pitch is $5360

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.

The soccer pitch us rectangle in shape. Hence:

Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters

Cost of installing the pitch = $20 per meter * 268 meters = $5360

The Cost of installing the artificial soccer pitch is $5360

Find out more on perimeter at: brainly.com/question/16596982

6 0
2 years ago
Is 11/2 and 6/11 equivalent? Plz I need the help☹️
trapecia [35]

For this case we have the following fractions:

\frac {11} {2}\\\frac {6} {11}

We must rewrite the fractions, using the same denominator.

We have then:

We multiply the first fraction by 11 in the numerator and denominator:

\frac {11} {2} \frac {11} {11}

We multiply the second fraction by 2 in the numerator and denominator:

\frac {6} {11} \frac {2} {2}

Rewriting we have:

For the first fraction:

\frac {121} {22}

For the second fraction:

\frac {12} {22}

We note that:

\frac {121} {22}> \frac {12} {22}

Answer:

The fractions are not equivalent:

\frac {11} {2}> \frac {6} {11}

5 0
3 years ago
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