Simplify 41/4 to a mixed number

Step-by-step explanation:

[tex] \frac{5}{8} (4x - 16) = 20[/tex]

[tex] \frac{5}{2} x - 10 = 20[/tex]

[tex] \frac{5}{2}x = 20 - 10[/tex]

[tex]x = 4[/tex]

Answer:

[tex]40\frac{5}{8}mm^2[/tex]

Step-by-step explanation:

To find the area of a triangle, one must use the formula,

[tex]\frac{base*height}{2}[/tex]

It is given that

- base = [tex]9\frac{3}{4}[/tex]

-height = [tex]8\frac{1}{3}[/tex]

Substitute in the values and solve;

[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]

In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;

- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]

- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]

Substitute,

[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]

Cross simplify,

[tex]\frac{\frac{325}{4}}{2}[/tex]

Further simplify,

[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]

Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,

[tex]40\frac{5}{8}[/tex]

Answer:

81.9

Step-by-step explanation:

63 of 130 is 48.46%

Steps to solve "what percent is 63 of 130?"

63 of 130 can be written as:

63

130

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100.

Answer:

81.9

Step-by-step explanation:

63/100 x 130 = 81.9

Your welcome! :)

Answer:

the asnwer is

Step-by-step explanation:

infinite solutions because 2(x-2) it equals 2x-4 and that is the first euqation

making 2x-4=2x-4 which is right

Answer:

-1

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Answer:

90.49

Step-by-step explanation:

the answer is 90.49, hope this helps!

Answer:

50

Step-by-step explanation:

2/100 of X=1

Multiply both sides by 100 to remove the hundred base

The resultant will be 2x=100

X= 50

Answer:

$2.54 per gallon

Step-by-step explanation:

30.48 / 12 = 2.54

Answer:

$2.54

Step-by-step explanation:

30.54 / 12 = 2.54

Answer:

X+y=25

2x+2y=50

smaller number is X

bigger one is y

3x=2y

3x-2y=0

2x+2y+3x-2y=50+0

5x. =50

X=10

X+y=25

y. =25-10

y=15

Answer:

41.18

Step-by-step explanation:

CD=22-6=16

42=1/2×6×AC

AC=14

tanθ=O/A

tanθ=(14/16)

x=tan-1(14/16)

x=41.18

The measure of the angle x in the right triangle ABD is 41.2 degrees.

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides of the triangle can be found using trigonometric ratios.

area of a triangle = 1 / 2 bh

where

Hence,

area of a triangle =  1 / 2 × 6 × h

42 = 3h

h = 42 / 3

h = 14 cm

DC =  22 - 6 = 16 cm

AC = 14 cm

tan x = opposite / adjacent

tan x = 14 / 16

x = tan ⁻¹ 0.875

x = 41.1859251657

x = 41.2 degrees.

learn more on right triangle here: https://brainly.com/question/8154420

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Answer:

the purchase price is $2.05

Step-by-step explanation:

The computation of the purchase price is shown below:

The purchase price is

= Cost of the sandwich - coupon amount

= $2.55 - $0.50

= $2.05

Hence, the purchase price is $2.05

Answer:h(x)=g(x+5)+1

Step-by-step explanation:

Answer:

0<x<2.5

Step-by-step explanation:

-16x^2+38x+5 = 0

-16x^2+40x-2x+5 = 0

ROUGH WORK

[Product=-16×5=-80, Sum=38. (Product=40×-2, Sum=40-2) (40&-2)]

BACK TO EXPLAINATION

-8x(2x-5)-1(2x-5) = 0

x = -1/8, 2.5

0<x<2.5

Answer:

the figure is missing. please provide the figure.

Answer:

height = 13.86, or 8√3

Step-by-step explanation:

using the Pythagorean theorem:

h² = 16² - 8²

h² = 256 - 64

h² = 192

h = 13.86 ft or 8√3

Answer:

X=1

BD=AC=3(6x-4)=3(6(1)-4)=6

BD=6

Square is a polygon with 4 equal sides. The value of line BD is 6 units.

A square is a polygon with 4 sides, such that all the four sides of the polynomial are equal, also all the angles of the square are of 90°.

As it is given that the diagonals of square ABCD intersect at point E. And, we know that the diagonals of the square bisect each other. therefore, we can write,

BD = 2BE

Substituting the values, we will get,

[tex]3(6x-4) = 2 \times(2x+1)\\\\18x-12 = 4x+2\\\\18x-4x = 2+12\\\\14x = 14\\\\x = \dfrac{14}{14}\\\\x = 1[/tex]

Thus, the value of x is 1.

We know that the diagonal of a square are equal, therefore, the value of the diagonal BD can be written as,

[tex]BD = AC = 3(6x-4)[/tex]

Substitute the value of x as 1, therefore, the value of BD can be written as,

[tex]BD = 3[6(1)-4]\\\\BD = 3(6-4)\\\\BD = 3 \times 2\\\\BD = 6[/tex]

Hence, the value of line BD is 6 units.

Learn more about Square:

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Answer: f

Step-by-step explanation: I chose f because m=29.57 which is is the starting point

Answer:

it is even too blurry to see the question

Answer:

-2x - 8 < 2

-2x < 10

x > -5

Answer:

0.775

Step-by-step explanation:

is 5he answer

Step by step

Answer:

[tex](x - y) \times (x + y)( {x }^{2} + {y}^{2} )[/tex]

Step-by-step explanation:

[tex](x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )[/tex]

[tex] ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )[/tex]

numerele care apartin si lui a si lui b sunt:

15

a/b={3,9,21,27}

b/a={5,25}

b)

in total sunt 15 numere impare pana la 30(cazuri posibile)

numai 7 numere apartin lui AUB(cazuri favorabile)

probabilitatea= cazuri favorabile/cazuri posibile

probabilitatea=7/15

crown?

Answer:

B

Step-by-step explanation: