Which mixed number is equivalent to the improper fraction?
2/
OA. 22
O B. 22
7
O C. 11/1/2
O D. 32

Answer:

72

Step-by-step explanation:

I am pretty certain that the answer is 72.

Steps:

[tex]\frac{8}{36}[/tex] [tex]\frac{x}{9}[/tex]

Cross-Multiply and Divide.

8*9 = 72

72 / 36 = 2

2/9 = 0.222222

8/36 = 0.222222

2/9 = 0.2222222

Answer:680

Step-by-step explanation:

160x.75=120

160x1.5=240

160x2=320

Answer:

f(X) = ( - X) ½

is the answer

pls brainliest

Answer:

x=11

Step-by-step explanation:

9x=7x+22

9x-7x=22

2x=22

2x/2=22/2

x=11

The actual problem will be  9000 % 700, with the remainder 600 and quotient 12.

Since we are with the actual problem, which is 8,950 % 695, here the dividend is 8950  and the divisor is 695, the actual division we come up with the 12 as quotient and remainder 620. Now making the expression simple  using the round-off rule, here  in  the dividend  8950, the last two digits are 50, so we can round off it to 9000 and in the  divisor  695,  the last digit is 5, so we add 1 in the preceding  number converting it to 700, after the actual division of the estimated expression, the quotient we come up with is 12, and the remainder is 600.

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Value of Sine and Cosine of T is -1 and 0 respectively.

According to the question statement, P is at the point (0,-1)

We are supposed to find the value of trigonometric ratios sine and cosine of T

Let Point P (0,-1)

[tex]x=0, y=-1[/tex] and radius r = 1

[tex]sin(t) = \frac{y}{r}\\sin(t)=\frac{-1}{1} \\sin(t)=-1[/tex]

Therefore, sine of t is -1

[tex]cos(t)=\frac{x}{r} \\cos(t)=\frac{0}{1} \\cos(t)=0[/tex]

Therefore, cosine of t is 0

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Answer:

4x + 27

Step-by-step explanation:

12x + 36 - 14 - 8x + 5 Combine like terms (36, -14, 5)

12x + 27 - 8x Combine like terms (12x, -8x)

Answer:

a) It's growing by 1 Hexagon in each term

b) (Self Explanatory, but if you still font know, just add 1 hexagon on the bottom tail)

c) 1-4

2-5

3-6

4-7

5-8

d) 1 hexagon is added each time

e) Common Difference = a1 - a

= 5 - 4

= 1

f) Consider the equation n + 3

where n is the number of terms.

In this case, n = 12

= 12 + 3

= 15 Hexagons

g) f(n) = 4 + 1(n-1)

f(1) = 4 + 1 ( 1 - 1)

f(1) = 4 + 1 (0)

f(1) = 4 + 0

f(1) = 4

h) (Forgive me, I actually don't know the answer for this one :'( )

Answer: B. 100

C. 400

D. 300

Step-by-step explanation:

A=area of square. s=side length of square.

B. A=s^2

A=10^2

A=100

C. A=20^2

A=400

D. I=Increase in Area

I=20^2 -10^2

I=400-100

I=300

The linear speed in miles per hour of the tip of a lawnmower blade spinning is 0.0601509076 miles per hour and angular velocity is 293.276 rad/hr.

The measurement of a moving object's actual distance traveled is called linear speed. Linear speed is the rate of motion of an item along a straight line. It is the distance traveled along a linear path in the allotted amount of time.

2800 rotations per minute on a lawnmower blade.

Specifically, the frequency of the blade is 2800 revolutions per hour,

f = 2800 / 60, or 46.66.

The angular velocity is

ω = 2πf

where f = frequency

ω = 2 × 3.14 × 46.7

ω = 293.276 rad/hr

The diameter of the circle centered at the blade's middle determines the path's breadth.

26 inches in diameter

radius = 26 / 2 = 13

13 inch = 0.0002051 miles

Velocity is given by -

V = ωR

V = 293.276 × 0.0002051

Velocity = 0.0601509076 miles per hour

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The expression  can be simplified to:

x + y/100

Where x is the month and y the day. This is why it always works.

Let's define the two variables x and y as the month of your birth and the day of your birth respectively.

Now let's write the expression by following the steps, you should get:

((((7*x - 1)*13 + y + 3)*11 - x - y)/10 + 11)/100

Now let's simplify the expression we will get:

((((7*x - 1)*13 + y + 3)*11 - x - y)/10 + 11)/100

(((91x - 13 + y + 3)*11 - x - y)/10 + 11)/100

(((91x - 10 + y)*11 - x - y)/10 + 11)/100

((1001x - 110 + 11y - x - y)/10 + 11)/100

(( 1000x - 110 + 10y)/10 + 11)/100

You already can see what will happen here:

(( 1000x - 110 + 10y)/10 + 11)/100

(100x - 11 + y + 11)/100

(100x + y)/100 = x + y/100

So the expression will do the exact same thing for every values of x and y that you decide to use, it does not depend on your exact date of birthday.

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The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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The percent error is 8%

The formular for percent error is approximate value -exact value/exact value multiplied by 100

The approximate value is 197 points

The exact value is205 points

Percent error = 197 - 205 /205 × 100

= -8/205 × 100

= 0.0390 × 100

= 3.9

Hence the percent error is 8%

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Answer:

17.75

Step-by-step explanation:

253.63 ×0.07=17.7541

$0.29 you save if you buy the big bag instead of 2 small bags .

The unitary method is a strategy that determines the value of many units based on the value of a single unit in addition to calculating the value of a single unit using the values of multiple units.

We must divide the value of one thing by the number of other items we wish to calculate the value of before multiplying that result by one.

From the question,

A huge bag of flour weighing 10 lbs costs $3.69 in total.

Currently, one 5-lb small bag costs $1.55.

Consequently, two 5-lb little bags cost $3.10 each.

Cost difference equals big bag cost minus two small bag expenses.

The price difference is equal to $3.69 minus $3.10.

$0.29 is the cost difference.

By purchasing two small bags of floor instead of one large bag, you will save $0.29.

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After differentiating, the amount when x=0 yields starting amount,

300 dollars.

What is diffrentiation?

Differentiating the given equation with respect to x,

Given equation,

y= 55x+ 300

[tex]\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55[/tex] dollars.

The amount when x=0 yields starting amount,

y=55(0)+300=300

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Answer:

(5x) + 3 = 7

Step-by-step explanation:

Times means 'The answer when you multiply' So we are working in multiplication. ( x )

5x is the multiplication.

It says 'and' which can also mean addition. So we add 3. So far our equation is: (5x) + 3 (Brackets are needed as we are multiplying 5 by x and not multiplying 5 by x+3)

Lastly it says the answer must be 7 so we add that at the end. So the answer is:

(5x) + 3 = 7

The slope of the straight line is -1/2 whereas the y-intercept is 3/8.

Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.

Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.

y = mx + b

Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.

The given equation is;

4x + 8y = 3

Re-arranging the equation;

8y = -4x + 3

Divide the whole equation by 8.

y = -4x/8 + 3/8

Further simplifying;

y = -x/2 + 3/8

Comparing the result with the general form of equation.

m = -1/2; which is the slope.

c = 3/8; which is the y-intercept.

Thus, the values for slope and y-intercept are estimated.

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The correct question is-

Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.

Answer: y = 12x − 9

Step-by-step explanation:

Let's solve for y

-1/3y +4x = 3

Step 1: Add -4x to both sides.

4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3

Step 2: Divide both sides by (-1)/3.

-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9

Answer: Table  which had a constant of proportionality between y and x of 1/6

is table C

Step-by-step explanation:

The meaning of constant proportionality is very simple and that is

ratio of y and x

here

y/x=1/6;

therefore we have to check various options

checking option C

first part:

3/18=1/6;

second part:

(9/2)/27=1/6;(convert mixed fraction into improper fraction)

third part:

(11/2)/33=1/6;

hence ;

Table  which had a constant of proportionality between y and x of 1/6

is table C

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Answer:

Please see picture below.

Step-by-step explanation:

The 16th pentagonal number is 376

A function can be defined as an expression that explains the relationship between a dependent and an independent variable.

Given the function for the nth pentagonal number as;

Pn = n( 3n -1 )/ 2

To determine the 16th pentagonal number, we need to substitute the value of n as 16

We have;

P16 = 16(3(16) - 1)/ 2

P16 = 16( 48 - 1)/ 2

P16 = 16(47)/ 2

expand the bracket

P16 = 376

Thus, the 16th pentagonal number is 376

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Answer:

[tex]\dfrac{4+\sqrt{3}}{4}-\dfrac{(3+4\sqrt{3})}{12}i[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{4+\sqrt{3}}{3+\sqrt{-3}}[/tex]

[tex]\textsf{Apply radical rule}:\quad \sqrt{-a}=\sqrt{a}\sqrt{-1}[/tex]

[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}\sqrt{-1}}[/tex]

[tex]\textsf{Apply imaginary number rule}:\quad \sqrt{-1}=i[/tex]

[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}i}[/tex]

Multiply by the conjugate of the denominator:

[tex]\implies \dfrac{4+\sqrt{3}}{3+\sqrt{3}i} \cdot \dfrac{3-\sqrt{3}i}{3-\sqrt{3}i}[/tex]

[tex]\implies \dfrac{(4+\sqrt{3})(3-\sqrt{3}i)}{(3+\sqrt{3}i)(3-\sqrt{3}i)}[/tex]

[tex]\implies \dfrac{12-4\sqrt{3}i+3\sqrt{3}-\sqrt{3}i\sqrt{3}}{9-3\sqrt{3}i+3\sqrt{3}i-\sqrt{3}i\sqrt{3}i}[/tex]

[tex]\implies \dfrac{12+3\sqrt{3}-4\sqrt{3}i-3i}{9-3i^2}[/tex]

[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{9-3i^2}[/tex]

[tex]\textsf{Apply imaginary number rule}:\quad i^2=-1[/tex]

[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{9-3(-1)}[/tex]

[tex]\implies \dfrac{12+3\sqrt{3}-(3+4\sqrt{3})i}{12}[/tex]

Separate the fractions:

[tex]\implies \dfrac{12+3\sqrt{3}}{12}-\dfrac{(3+4\sqrt{3})i}{12}[/tex]

Simplify:

[tex]\implies \dfrac{4+\sqrt{3}}{4}-\dfrac{(3+4\sqrt{3})}{12}i[/tex]

The area of the farm in acres is 864 acres.

An acre is equal to​ 43,560 square​ feet, and there are 5280 feet in a mile.

Therefore,

1 mile = 5280 feet's

The farm has the shape of a rectangle measuring 0.9 miles by 1.5​ miles. Therefore, let's convert to feet's

1 mile = 5280 feet's

0.9 miles = ?

cross multiply

length = 0.9 × 5280 = 4752 feet

1 mile = 5280 feet's

1.5 miles = ?

width = 1.5 × 5280 = 7920 feet's

Hence,

area of the farm = 4752 × 7920

area of the farm = 37635840

Therefore, the area of the farm in acres can be calculated as follows:

43560 ft = 1 acre

37635840 ft = ?

cross multiply

area of farm = 37635840 / 43560

area of the farm = 864 acres.

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Answer: -21

Step-by-step explanation:

The equation of the line passing through given points (-3, -10) and perpendicular to other is y + 2x + 7 = 0.

The equation of the perpendicular line is given as;

x − 2y = 6

Write the equation in standard form;

y = x/2 - 3

Where, slope of the line m₁ is (1/2) and y -intercept is (-3).

The other line passing perpendicular on this line has a slope: m₂.

The relation between slopes of perpendicular lines are-

m₁ × m₂ = -1

m₂ = -1/m₁

m₂ = -1/(1/2)

m₂ = -2

Now, the coordinates of the line are: (-3, -1)

The equation of the line will be;

(y - y₁) = m₂ (x – x₁)

Put the values;

(y - (-1)) = -2(x - (-3))

y + 1 = -2x - 6

y + 2x + 7 = 0

Thus, the equation of line is y + 2x + 7 = 0.

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The numerical length and width of the rectangular picture are 9in and 12in respectively.

Area of a rectangle is expressed as;

A = length × width

Given the data in the question;

To determine the numerical length and width of the rectangular picture, first plug the given values into the equation and solve for x.

A = length × width

108 = (2x -1)(x+7)

Expand

108 = 2x² + 14x - 1x -7

108 = 2x² + 13x -7

Reorder

2x² + 13x -7 = 108

2x² + 13x - 7 - 108 = 0

2x² + 13x - 115 = 0

Solve by grouping

(x-5)(2x+23) = 0

x-5 = 0, 2x+23 = 0

x = 5, 2x = -23

x = 5, x = -23/2

x = 5, x = -11.5

But the dimension cannot be negative, hence;

x = 5

Next, determine the numerical length and width.

Length = 2x - 1 = 2(5) - 1 = 10 - 1 = 9in

Width = x + 7 = 5 + 7 = 12in

Therefore, the numerical length and width of the rectangular picture are 9in and 12in respectively.

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Answer:

i think 114ft

Step-by-step explanation:

Answer:

114 FT

Step-by-step explanation:

Perimeter formula: P = 2 (l + w)
P = 2 (40 + 17)
Use distributive property or PEMDAS

Distributive property: P = 80 + 34
P = 114

PEMDAS: P = 2(57)
P = 114

You get 114 either way

Winter would last for 14,600 days

Planet can be described as celestial bodies that move around the sun. The earth and Neptune are typical examples of planets. There are 8 planets in the solar system.

Other planets have different seasons same way as Earth

Neptune's season last for 40 years

Therefore the number of days that winter would last can be calculated by multiplying the number of years which is 40 by the number of days in a year which is 365

1 year is 365 days

Since it 40 years then we multiply by 365

= 365 × 40

= 14,600

Hence Winter would last for 14,600 days

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