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3 years ago

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Mathematics

1 answer:

mina [271]3 years ago

3 0

Answer:

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression, that has only two factors (i.e., itself and 1) is termed prime; a positive integer or an algebraic expression that has more than two factors is termed composite. The prime factors of a number or an algebraic expression are those factors which are prime. By the fundamental theorem of arithmetic, except for the order in which the prime factors are written, every whole number larger than 1 can be uniquely expressed as the product of its prime factors; for example, 60 can be written as the product 2·2·3·5.

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Need help win number 34. Math.

Elena-2011 [213]

I looked it up and this is what it said

Least to greatest: 1.5 qt; 7 c; 64 fl oz

7 0

3 years ago

The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.

NeX [460]

Answer:

a) the area of a square is in terms of x is

$(x+1)^2$ centimeter square

b)The length of the rectangle is l = (x+1)

l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

area of square is $l^{2} = (x+1)(x+1)$

= $(x+1)^2$

b) Given length is l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is 24 cm

Area of rectangle = length X width

24 = (x+1)(x+1 -5 )

now simplification $24 = (x+1)^2 - 5 (x+1)$

apply (a+b)^2 = a^2+2 a b+b^2

$x^2+2 x+1-5 x-5 =24$

$x^2 -3 x -4-24=0$

$x^{2} -3 x -28 =0$

now find factors of 28 = 7 X 4 is

$x^{2} -7 x+4 x-28=0$

$x(x-7)+4(x-7)=0$

$(x+4)(x-7)=0$

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle = 24 = 8 X 3

24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0

3 years ago

Can someone please help convert these so they have the same denominator??

ratelena [41]

The LCM of the denominators is 120. In other words, the denominators can multiply to 120.

3 * 40 = 120

40 * 2 = 80

Tigers: P = 80/120

24 * 5 = 120

24 * 4 = 96

Redbirds: P = 96/120

8 * 15 = 120

3 * 15 = 45

Bulldogs P = 45/120

60 * 2 = 120

60 * 1 = 60

Titans P = 60/120

Answer

Tigers: P = 80/120

Redbirds: P = 96/120

Bulldogs: P = 45/120

Titans: P = 60/120

5 0

3 years ago

Put these integers in order from least to greatest.<br> 34, 0, – 17, - 56 , 5

tigry1 [53]

Answer: -56 -17 0 5 34

Step-by-step explanation:

The more left you go on a number line the smaller it is

7 0

3 years ago

Read 2 more answers

What is the justification for each step in solving the inequality?

Fed [463]

Step-by-step explanation:

$3x+\frac{5}{8}\geq 4x-\frac{1}{2}$

Subtract 5/8 on both sides

To subtract 5/8 we make the denominators same

$3x\geq 4x-\frac{1*4}{2*4}-\frac{5}{8}$

Addition or Subtraction property of order is used

$3x\geq 4x-\frac{9}{8}$

Subtract 4x on both sides

Addition or Subtraction property of order is used

$-x\geq -\frac{9}{8}$

Now divide both sides by -1

Multiplication or Division property of order is used

$\frac{-x}{-1} \geq \frac{-\frac{9}{8}}{-1}$

Multiplication or Division property of order is used

$x\leq \frac{9}{8}$

5 0

3 years ago