4/5 divided 1/10 math problem trying to figure out

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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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

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:680

Step-by-step explanation:

160x.75=120

160x1.5=240

160x2=320

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]

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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From the steps below, it has been proved that  by transitive property of congruence, we can say that; ∠CON ≅ ∠BOM

We are given;

∠AOM ≅ ∠DON

To prove that;

∠CON ≅ ∠BOM

Now, from the image attached, we can say that;

∠BOM ≅ ∠DON because of vertical angles theorem

Similarly, we can say that ∠AOM ≅ ∠BOM due to transitive property of congruence.

Also, we can say that from vertical angles theorem, ∠AOM ≅ ∠CON

Finally, since  ∠AOM ≅ ∠BOM, then by transitive property of congruence, we can say that;∠CON ≅ ∠BOM

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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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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:

The length should equal 27.

The width should equal 13.

A: P= 2L+ 2W

B: L=2W+1

Step-by-step explanation:

Perimeter is always equal to all of the sides added up.

You can find out the width and length by subsititution.

80=2(2W+1) +2W

80=4W+2+2W

80=6W+2

78=6W

W=13

L=(13*2)+1

L=27

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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$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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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

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 :'( )

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 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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In order to answer this issue, I need to identify an LCD, or least common denominator—something that unites all of the group members. We had all previously worked for the same employer, so that was our common denominator.

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers.

Prime number seven.

7*8 = 56

56 is the lowest common factor.

3/7 * 8/8 = 24/56

5/8*7/7 = 35/56

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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

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)

The amount will be $141647.55.

we need to use the present value of an annuity formula:

the formula used to determine the present value factor of an annuity is:

present value annuity factor = [1 - 1/(1 + i)ⁿ ] / i

we must divide this into 2 parts:

the first part will deal with the $19,00 monthly payment

the second part deals with the $38,000 monthly payment

i = 9.75% / 12 = 0.8125%

n (first part) = 36

n (second part) = 24

the PV annuity factor for first part = [1 - 1/(1 + 0.8125%)³⁶ ] / 0.8125% = 31.1043

the PV annuity factor for second part = [1 - 1/(1 + 0.8125%)²⁴ ] / 0.8125% = 21.7251

loan = ($219,00 x 31.1043) + ($38,00 x 21.7251)//(1 + 0.8125%)³⁶ = $59092.17 + $82555.38 = $141647.55

hence we get the amount as $141647.55

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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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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 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:

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

50% of women who said ‘no’ out of the total survey population if 15 men and 75 women were asked if they had seen the company’s latest TV advertisement.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Market research was undertaken to determine whether an ad campaign was successful for the software company.

Total number of people = 15 + 75 = 90

The number of people who said yes = (2/5)90 = 36

The number of people who said no = 90 - 36 = 54

The number of men said yes = (6/15)x15 = 6

The number of men said No = 15 - 6 = 9

The number of women who said no = 54 - 9 = 45

Percentage = (45/90)x100

The percentage of women who said ‘no’ out of the total survey population:

= 50%

Thus, 50% of women who said ‘no’ out of the total survey population if 15 men and 75 women were asked if they had seen the company’s latest TV advertisement.

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Answer:

USE air math

Step-by-step explanation:

hope that helps

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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