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3 years ago

Simplify. (2 - 61) - (-10 + 4i)

Mathematics

1 answer:

adoni [48]3 years ago

5 0

2-60-14

Answer-72 that's the answer

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The length of a kitchen wall is 24 2/3 feet long. A border will be placed along the wall of the kitchen. If the border strips ar

krek1111 [17]

Total length of the kitchen wall = 24 2/3 feet.

Let us convert 24 2/3 feet into improper fracion.

24 2/3 = (24*3+2)/3 = 74/3 feet.

Length of each strip = 1 3/4 feet.

Let us convert 1/3/4 feet in improper fracion.

1 3/4 feet = (1*4+3)/4 = 7/4 feet.

Total number of strips required = (Total length of the kitchen wall) ÷ (Length of each strip)

= 74/3 feet ÷ 7/4 feet.

Let us convert division sign into multiplication, we get

74/3 × 4/7.

Multiplying across, we get

296/21.

On dividing 296 by 21, we get 14.09 approximately.

14.09 represents more than 14.

So, we can round it to the next whole number, that is 15.

Therefore, 15 strips of border are needed.

5 0

3 years ago

A 100 - foot fence is used to enclose a rectangular land plot. If the area of the land plot is 456 square feet, which equation c

quester [9]

Answer:

$x^2-50x+456=0$

Step-by-step explanation:

GIVEN: A $100\text{ foot}$ fence is used to enclose a rectangular land plot. If the area of the land plot is $456\text{ feet}^2$ .

TO FIND: equation to determine the length $x$ of the land plot.

SOLUTION:

total length of fence $=100\text{ foot}$

let the width of land plot be $y$

perimeter of plot $=2(x+y)=100$

$x+y=50$

area of rectangular plot $=\text{length}\times\text{breadth}$

$xy=456$

$y=\frac{456}{x}$

putting value of $y$

$x+\frac{456}{x}=50$

$x^2-50x+456=0$

Hence required equation to get length $x$ of land plot is $x^2-50x+456=0$

on solving

$x=38,12$

possible length of land plot is $38\text{ foot}$ and $12\text{ foot}$

6 0

3 years ago

A function() is graphed

eduard

Y=mx+b use that formula

6 0

3 years ago

How many solutions does this system have?

charle [14.2K]

The answer is no solution

4 0

3 years ago

Plz I need help with 1 and 2 please help me

Vikki [24]

When finding slope the answer is always going to be rise/run so in this case,

#1 would be 1/2 (bc it goes up one and right 2)

#2 we have a rise of 3 and a run of 3 leaving our slope to be 3/3 simplified simply being 1

another trick you could use is dividing the denominator by the numerator

3 0

3 years ago