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3 years ago

How do I change this into the simplest form?

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

(Please correct me if I'm reading one of the numbers wrong.)

-5.8 + 2.6

We can rewrite this equation so it's easier to read like this:

2.6 - 5.8 (the answer will still be the same)

In the original equation, you're simply adding 2.6 to -5.8.

In the new equation, you're taking 5.8 away from 2.6.

An easy way to solve this is to ask "what's the difference between 5.8 and 2.6?", which is 3.2.

The answer to this problem is -3.2, because we're taking a larger number away from a smaller number.

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A commercial apple grower estimates from past records that if 50 trees are planted per acre, then each tree will yield an averag

Karolina [17]

Answer:

i) 60 trees

ii) 3600 apples

Step-by-step explanation:

50 trees per acre

Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds

Assumption :

lets assume the additional tree = X

Therefore the number of trees planted per acre = ( 50 + x ) where x ≤ 30

calculate average yield per tree = ( 70 - x )

Total yield per acre = number of trees * average yield per tree

= ( 50 + x ) * ( 70 - x )

Y(x) = 3500 + 20x - x^2

i) Number of trees that should be planted per acre to obtain maximum yield per acre

y'(x) = 20 - 2x = 0 hence X ( number of additional trees ) = 20 / 2 = 10

Number of trees that should be planted per acre = 50 + 10 = 60 trees

ii) Calculate maximum yield

where ; X = 10

number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60

hence maximum yield = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples

6 0

3 years ago

A camera cost $940. If the sales tax rate is 4%, what is the total price?

QveST [7]

Since a tax of 4% would be added to the cost price,

The total percentage = 100% + 4% = 104% of the cost

= 104% of 940

= (104/100) * 940

= 1.04 * 940

= 977.6

Total price = $977.60

6 0

4 years ago

Read 2 more answers

Claire had 4 1/6 feet of string. She used some string to hang out decorations. Now she has 1 5/6 feet of string left. How much s

vodka [1.7K]

Answer:

Length of string used by Claire = 7 / 3 feet

Step-by-step explanation:

Given:

Length of string Claire in starts = $4\frac{1}{6}$ feet

Length of string Claire in end = $1\frac{5}{6}$ feet

Find:

Length of string used by Claire

Computation:

Length of string Claire in starts = $4\frac{1}{6}$ feet = 25 / 6 feet

Length of string Claire in end = $1\frac{5}{6}$ feet = 11 / 6 feet

Length of string used by Claire = Length of string Claire in starts - Length of string Claire in end

Length of string used by Claire = [25 / 6] - [11 / 6]

BY taking LCM

Length of string used by Claire = [25 - 11] / 6

Length of string used by Claire = 14 / 6

Length of string used by Claire = 7 / 3 feet

8 0

3 years ago

Solve the system of linear equations by substitution. y=2x+5 y=3x−1

xz_007 [3.2K]

Answer:

x = 6, y = 17

Step-by-step explanation:

since both equations are equal to the same variable (y), they are equal to each other.

2x + 5 = 3x - 1

-2x -2x

5 = x - 1

+1 +1

6 = x

y = 2(6) + 5

y = 12 + 5

y = 17

6 0

3 years ago

Write an equation of the line that passes through (-1,2) with a slope of 4

Iteru [2.4K]

Step-by-step explanation:

Hey there!

Given;

The points is; (-1 , 2) and slope is 4.

Note: Use one-point formula.

$(y - y1) = m(x - x1)$

~ Put all values.

$(y - 2) = 4(x + 1)$

~ Simplify it.

$(y - 2) = 4x + 4$

$4x - y + 6 = 0$

Therefore, the required equation is; 4x-y+6=0.

<h3>Hope it helps...</h3>

6 0

3 years ago