Please answer this and show the work/explain.
2/7m - 1/7 = 3/14

Answer:

See attachment for Venn diagram

Percentage of only TV owners is 16%

Step-by-step explanation:

Given

[tex]TV\ Owners = 68\%[/tex]

[tex]Radio\ Owners = 72\%[/tex]

[tex]None = 12\%[/tex]

Required

Represent with a Venn Diagram

What percentage owned television

From the Venn Diagram and In sets theory; we have that

Total = (TV Owners - Radio and TV Owners) + (Radio Owner - Radio and TV Owners) + Radio and TV Owners + None

Represent Radio and TV Owners with y

[tex]Total = (TV\ Owners - y) + (Radio\ Owner - y) + y + None[/tex]

Substitute 68% for TV Owners, 72% for Radio Owners, 12& for None:

[tex]Total = 68\% - y + 72\%- y + y + 12\%[/tex]

Collect Like Terms

[tex]Total = 68\% + 72\%+ 12\%- y + y - y[/tex]

[tex]Total = 152\% - y[/tex]

In Sets, Total represents 100%; So, we have

[tex]100\% = 152\% - y[/tex]

Make y the subject of formula  

[tex]y = 152\% - 100\%[/tex]

[tex]y = 52\%[/tex]

The percentage of only TV owners is calculated by subtracting y from TV owners

[tex]\%P = 68\% - 52\%[/tex]

[tex]\%P = 16\%[/tex]

Answer:

The answer is 90%

Step-by-step explanation:

Answer:

11 weeks.

Step-by-step explanation:

227-106=121

121 divided by 11 = no. of weeks

Therefore it takes her 11 weeks.

Answer:

It will take 11 weeks

Step-by-step explanation:

11 times 11 is 121.

121 plus 106 is 227

which is the exact number the bike costs

Answer:

(DNE,DNE)

Step-by-step explanation:

-24x-12y = -16. Equation one

6x +3y = 4. Equation two

Multiplying equation two with +4 gives

4(6x +3y = 4)

24x +12y = 16...result of equation two

-24x -12y= -16...

A careful observation to the following equation will help us notice that the both equation are same thing.

Multiplying minus to equation one gives

-(-24x-12y=-16)

24x+12y = 16.

Since the both equation are same, there is no solution to it.

Answer:

a=3

Step-by-step explanation:

Given points (a, b) and (c,d), the midpoint of the points will be at

((a+c)/2, ((b+d)/2)

Therefore, given (9, 2) and (a,2a), our midpoint is at

((9+a)/2, (2+2a)/2) = (6,4)

Matching the x values to their corresponding x values and doing the same with the y values, we get

(9+a)/2 = 6

(2+2a)/2 = 4

First, we have

(9+a)/2 = 6

multiply both sides by 2 to remove the denominator

9+a = 12

subtract 9 from both sides to isolate a

a = 3

2a = 2 * a = 6

Confirming this, we have

(2+2a)/2 = 4

(2+6)/2 = 4

8/2=4

The value of a is 3 after using the bisection formula and the coordinate of the C is (3, 6).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

Point M is the midpoint of CD.

The coordinate of the C is (a, 2a)

The coordinate of the M is (6, 4)

The coordinate of the C is (9, 2)

Using bisection formula:

(a + 9)/2 = 6

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. I

a + 9 = 12

a = 12 - 9

a = 3

Or

(2a + 2)/2 = 4

a + 1 = 4

a = 3

Thus, the value of a is 3 after using the bisection formula and the coordinate of the C is (3, 6).

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4 zeroes basically means [tex]10^4[/tex]

$80=2^3\cdot 10$ and $70=7\cdot10$

there will be $10^2$ when you take the product not $10^4$

hence it will have 2 zeroes not 4

Work Shown:

The keyword "of" means "multiply".

150% = 150/100 = 1.5

150% of 3 = 1.5*3 = 4.5

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

100% = 3 meters

150% = 4.5 meters

The new width is 4.5 meters.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Megan’s room is expanded so the width is 150% of 3 meters.

This means,

100% = 3 meters

Multiply 150/100 on both sides.

150% = 150/100 x 3

150% = 4.5 meters

Thus,

The new width is 4.5 meters.

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Answer:

D.  54m

Step-by-step explanation:

by the side you can see that it is a right triangle with hypotenuse = 15

1/2(b)(h) = 1/2(9)(12) = 54

Answer:

D.) 54 m2

Step-by-step explanation:

I got it correct on founders edtell

Answer:

Solution : Option D

Step-by-step explanation:

The first thing we want to do here is isolate the cos(t) and sin(t) for both the equations --- ( 1 )

x = 5cos(t) ⇒ x / 5 = cos(t)

y = 2sin(t) ⇒ y / 2 = sin(t)

Let's square both equations now. Remember that cos²t + sin²t = 1. Therefore, we can now add both equations after squaring them --- ( 2 )

( x / 5 )² = cos²(t)

+ ( y / 2 )² = sin²(t)

_____________

x² / 25 + y² / 4 = 1

Remember that addition indicates that the conic will be an ellipse. Therefore your solution is option d.

Answer:

$12,78

Step-by-step explanation:

$142 × 0,15 = $21,3

$21,3 × 0,6 = $12,78

Answer:

2 years

Step-by-step explanation:

population in 1 year= 24400*105%=25620

population in 2 year= 25620*105%=26901

Answer:

n=1

Step-by-step explanation:

-36 = 6(2-8n)

-36=12-48n

-36-12=-48n

-48=-48n

n=1

Complete question is;

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 128 ounces and a standard deviation of 0.20 ounce. You randomly select 35 cans and carefully measure the contents. The sample mean of the cans is 127.9 ounces. Does the machine need to be? reset? Explain your reasoning.

(yes/no)?, it is (very unlikely/ likely) that you would have randomly sampled 35 cans with a mean equal to 127.9 ?ounces, because it (lies/ does not lie) within the range of a usual? event, namely within (1 standard deviation, 2 standard deviations 3 standard deviations) of the mean of the sample means.

Answer:

Yes, we should reset the machine because it is unusual to have a mean equal to 127.9 from a random sample of 35 as the mean of 127.9 doesn't fall within range of a usual event with 2 standard deviations of the mean of the sample means.

Step-by-step explanation:

We are given;

Mean: μ = 128

Standard deviation; σ = 0.2

n = 35

Now, formula for standard error of mean is given as;

se = σ/√n

se = 0.2/√35

se = 0.0338

Normally, the range of values should be within 2 standard deviations of mean. In this case, normal range of values will be;

μ ± 2se = 128 ± 0.0338

This gives; 127.9662, 128.0338

So, Yes, we should reset the machine because it is unusual to have a mean equal to 127.9 from a random sample of 35 as the mean of 127.9 doesn't fall within range of a usual event with 2 standard deviations of the mean of the sample means.

Step-by-step explanation:

Area of rectangle =L×W

Width =Area

[tex]w idth= \frac{area \ }{length} \\ \\width = \frac{ {y}^{2} + 4y - 45}{y + 9} \\ \\ = \frac{(y - 5)(y + 9)}{(y + 9)} \\ \\ width = y - 5[/tex]

Answer:

Three fractions that are equivalent to [tex]\frac{3}{11}[/tex] are: [tex]\frac{6}{22}[/tex], [tex]\frac{24}{88}[/tex] and [tex]\frac{144}{528}[/tex].

Step-by-step explanation:

Equivalent fractions are set of fractions in which when simplified, they have the same answer.

Given: [tex]\frac{3}{11}[/tex]

i. multiply the numerator and denominator of [tex]\frac{3}{11}[/tex] by 2,

          = [tex]\frac{3*2}{11*2}[/tex] = [tex]\frac{6}{22}[/tex]

i. multiply both the numerator and denominator of [tex]\frac{6}{22}[/tex] by 4,

          = [tex]\frac{6*4}{22*4}[/tex]= [tex]\frac{24}{88}[/tex]

ii. multiply the numerator and denominator of [tex]\frac{24}{88}[/tex] by 6,

          = [tex]\frac{24*6}{88*6}[/tex] = [tex]\frac{144}{528}[/tex]

So that;

             [tex]\frac{3}{11}[/tex] = [tex]\frac{6}{22}[/tex] = [tex]\frac{24}{88}[/tex] = [tex]\frac{144}{528}[/tex].

Three fractions that are equivalent to [tex]\frac{3}{11}[/tex] are: [tex]\frac{6}{22}[/tex], [tex]\frac{24}{88}[/tex] and [tex]\frac{144}{528}[/tex].

Answer:

3x18 = 3 (10+8) is an example of the commutative property of multiplication

Step-by-step explanation:

Answer: commutative property of multiplication

Step-by-step explanation:

Step-by-step explanation:

Measure the width, length and height of the shipping box in inches. Multiply the width, length and height of the box to calculate its volume in cubic inches. For example, if the box is 20 inches wide, 24 inches long and 16 inches high, then the volume is (20)(24)(16) = 7,680 cubic

Answer:

The volume of the shipping box would be 36 9/16

Step-by-step explanation:

One method to find the volume of the shipping box would be (l)(w)(h)

one we plug in our dimensions the equation would become 3 1/4 x 3 x 3 3/4

To simplify this we would first

Multiply

3 1/4 x 3 x 3 3/4 = 39/4 x 3 3/4

The bolded parts are the pieces we are working on

3 1/4 as an improper fraction is 13/4

13/4 x 3 = 13 x 3/4 = 39/4

- The second step would be to

Convert the mixed number to an improper fraction.

3 3/4  = ( 3 × 4 ) / 4 + 3/4 = 12 + 3 / 4 = 15/4

Now we have to Multiply

39/4 x 15/4 =  39 x 15 / 4 x 4 = 585/16

Lastly, we have to simplify

585/16 = 36 9/16

Answer:

hshsjzhzzoazuhsox9 hzbskznzjzbziznzkalajhzisjshaoianajs9zjgz

Answer:

B

Step-by-step explanation:

xy=6

y=6/x (1)

substitute (1) into 3y=x-3 and solve

Answer:

3 inches

Step-by-step explanation:

The green bar reaches all the way to the 3 on the ruler, and each number represents an inch.

Answer:

h.

[tex] \frac{9 {x}^{10}(y. {x}^{3}) {}^{2} }{y.x(3 {x}^{3}) {}^{3} } \\ \\ = \frac{9 {x}^{10}(y {}^{2} )( {x}^{6} ) }{3y. {x}^{10} } \\ \\ = \frac{ {3}^{2} {x}^{16} {y}^{2} }{3y {x}^{10} } \\ \\ = 3y {x}^{6} [/tex]

j.

[tex] \frac{(3x. {y}^{7} ) {}^{2}. {x}^{5} }{3 {x}^{7} {y}^{4} } \\ \\ = \frac{3 {x}^{2} . {y}^{14} . {x}^{5} }{3 {x}^{7} {y}^{4} } \\ \\ = \frac{ {3x}^{7} {y}^{14} }{3 {x}^{7} {y}^{4} } \\ \\ = {y}^{10} [/tex]

Answer: 17/20

Step-by-step explanation:

0.85 = 85/100 = 17/20

The number 0.85 can be written using the fraction 85/100 which is equal to 17/20 when reduced to lowest terms.

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

On its own, this vector points to a single point in space, (-3, -4, -5).

Multiply this vector by some scalar t to get a whole set of vectors, essentially stretching or contracting the vector ⟨-3, -4, -5⟩. This set is a line through the origin.

Now translate this set of vectors by adding to it the vector ⟨-2, -4, 0⟩, which correspond to the given point.

Then the equation for this new line is simply

L(t) = ⟨-3, -4, -5⟩t + ⟨-2, -4, 0⟩ = ⟨-2 - 3t, -4 - 4t, -5t⟩

The vector parametric equation for the line through the point is [tex]r = (-2, \ -4, \ 0) +(-3, \ -4, \ -5)t\\\\[/tex].

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩.

Parametric equations of the line segment are defined by its endpoints.

To find the vector equation of the line segment, we’ll convert its endpoints to their vector equivalents.

Two lines are parallel if they have the same direction, and in the parametric form, the direction of a line is always the vector of constants that multiply t (or the parameter).

The vector equation of a line is given by:

[tex]\rm v = r_0+tv[/tex]

Where v is the direction vector and [tex]\rm r_0[/tex] is a point of the line.

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

Here,

[tex]\rm r_0 = (-2,-4,0) \ and \ v=(-3, \ -4, \ -5)t\\\\[/tex]

Then,

[tex]r = (-2, \ -4, \ 0) +(-3, \ -4, \ -5)t\\\\[/tex]

x = -2-3t, y = -4-4t, and z = 0-5t

To know more about the Parametric equation click the link given below.

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Answer: Distance = √145

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (4, -9)

(x₂, y₂) = (5, 3)

Given formula

[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the formula

[tex]Distance = \sqrt{(5-4)^2+(3+9)^2}[/tex]

Simplify values in the parentheses

[tex]Distance = \sqrt{(1)^2+(12)^2}[/tex]

Simplify exponents

[tex]Distance = \sqrt{1+144}[/tex]

Simplify by addition

[tex]Distance = \sqrt{145}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]\boxed {\boxed {\sf \sqrt {145} \ or \ 12.04}}[/tex]

Step-by-step explanation:

The distance between 2 points is calculated using the following formula.

[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2)[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

We know the two points are (4, -9) and (5,3). If we match the values of the points and the coordinating variable, we see that:

Substitute the values into the formula.

[tex]d= \sqrt { ( 5 -4)^2 + ( 3 --9)^2[/tex]

Solve inside the parentheses.

[tex]d= \sqrt {(1)^2 + (12)^2}[/tex]

Solve the exponents.

[tex]d= \sqrt{ 1+144}[/tex]

Add.

[tex]d= \sqrt{145[/tex]

Take the square root.

[tex]d=12.04159458[/tex]

Let's round to the nearest hundredth. The 1 in the thousandth place tells us to leave the 4 in the hundredth place.

[tex]d \approx 12.04[/tex]

The distance between the 2 points is √145 or approximately 12.04.

Answer:

50.854 seconds

Step-by-step explanation:

24.98 + 25.874 = 50.854 seconds

Water drunk by Bobby in 10 hours = 5 units

So, water drink by Bobby in 1 hour

= 5/10 units

= 1/2 units

= 0.5 units

Answer:

1/2 water

Step-by-step explanation:

We can use a ratio to solve

5 waters        x waters

-----------   = ------------

10 hours             1 hours

Using cross products

5*1 = 10 *x

5 = 10x

Divide by 10

5/10 = x

1/2 waters =x

Answer: x=29

Step-by-step explanation:

[tex]x-21=8[/tex]

add 21 to both sides

[tex]x-21+21=8+21[/tex]

[tex]21+8=29\\[/tex]

[tex]x=29[/tex]

Answer:

y = 3/2x-2

Step-by-step explanation:

slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 3/2x+b

Substitute the point in for x and y

1 = 3/2(2)+b

1 = 3+b

1-3 =b

-2=b

y = 3/2x-2

Answer:

6 cm by 6 cm

Step-by-step explanation:

We know that the formula for area of a square is A = s² where A = area and s is the length of one side. We know that A = 36 so:

36 = s²

√36 = s

s = ±6

Note that s = -6 is an extraneous solution because you can't have a side length of -6, therefore the answer is s = 6 so the dimensions of the square are 6 cm by 6 cm.

The area of a square is found using the formula area = s^2, where s is the length of a side. ( a square has 4 equal sides).

Given the area you have:

36 = s^2

Find a by taking the square root of both sides:

S = sqrt(36)

S = 6

The square has a side length of 6 cm.

Answer: b. False

Step-by-step explanation:

Hence, the given statement is absolutely false.

Answer: Angle LMN = 45

Step-by-step explanation:

The line MN will be parallel to the side Line JK

And LJ will be transversal

Therefore

Angle LMN = LJK (Corresponding angles)

ATQ

⇒3 + 6x = 101 - 8x

⇒6x + 8x = 101 -3

⇒14x = 98

⇒x = 98/14

⇒x = 7

Angle LMN = 3 + 6x

= 3 + 6(7)

= 3 + 42

= 45

Therefore Angle LMN will be 45°

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