Identify pairs of lines which look perpendicular in the diagram. There are more than one answers.

We have to solve this linear equation for x:

The answer is x=19/6

The minutes will it be until they complete a lap at the same time is 2.4 minutes

From the information, Lana can walk around the track in 4 minutes and Raul can walk around the track in 6 minutes.

Lana will cover a distance of 1/4 while Raul will be represented as 1/6.

This will be illustrated as:

1/4 + 1/6 = 1

3/12 + 2/12 = 1

5x/12 = 1

Cross multiply

5x = 12

x = 12/5

x = 2.4 minutes

Note that x = number of minutes

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To answer this question, we need to apply the rules of "PEMDAS".

Thus:

- we first deal with the numbers in the "Parentheses" or brackets

- then we perform the "Multiplication" operation

- and then we perform the "Subtraction" operation

This is done as follows:

- by dealing with the numbers in the parentheses, we get:

- now, by dealing with the multiplication, we have:

- finally, we deal with the subtraction, as follows:

Ramones’s Chemistry test was much better as it has higher Z-Score than history

For History test, Test score (x) = 40

Mean (μₓ) = 30, Standard deviation (σₓ) = 10

For Chemistry test, Test score (Y) = 40

Mean (μ) =30, Standard deviation (σ) =5

Ramones’s Z-score for History test is given by,

Z-Score = (x-μₓ)/σₓ =(40-30)/10 = 1

Ramones’s Z-score for chemistry test is given by,

Z-Score = (y-μ)/σ =(40-30)/5 = 2

Thus, Ramones’s Chemistry test was much better, because Chemistry test has higher z-score.

Difference in the mean score (α) =μₓ -μ =0

Difference in Z-Score= Z- Zₓ =1

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Answer:

4:8

Step-by-step explanation:

Equivalent ratios have the same simplified ratio.

The simplified ratio of 3:6 is 1:2. We can get it by dividing both sides of the ratio by a common factor of 3.

18:9 is incorrect because its simplified ratio is 2:1. Equivalent ratios have the same order.

4:8 is correct because dividing both sides of the ratio by 4 gives us 1:2.

11:12 is incorrect because it can not be simplified to give 1:2.

Answer: 198

Step-by-step explanation:

9 * 36 = 324

9 * 14 = 126

324 - 126 = 198

Hope this helps!

Dividing 7 and 2 over 3 ÷ negative 3 and 1 over 5 will give a quotient of  negative 2 and 19 over 48

information gotten from the question include

Divide 7 and 2 over 3 ÷ negative 3 and 1 over 5.

Division is a basic mathematical operator that performs the function of sharing

division of fraction is done as follows

7 and 2 over 3

= 7 2/3

= 23/3

negative 3 and 1 over 5.

= -3 1/5

= -16/5

= 23/3 ÷ -16/5

= 23/3 * -5/16

= -115/48

= -2 19/48

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Answer:

you wmekekd

Step-by-step explanation:

A) To find the length AC, we must use the trigonometric ratio

adjacent = 5cm

hypothenuse = AC

B) To find the length AB, we will use the value of AC just obtained to get it

since triangle ABC is a right-angled triangle, we will use Pythagoras theorem

so that

|AC|^2 = |AB|^2 +|BC|^2

AC = 5.8332cm

BC = 4cm

|AB|^2 = |AC|^2 - |BC|^2

C) The perimeter of the quadrilateral can be found by adding the length of all the sides around its edges.

Perimeter = AD +CD + BC + AB

We do not have CD and we must find CD

Perimeter of ABCD = 5 + 3.004366195 + 4 +4.245729883 = 16.25009708cm

D) To find the area of the quadrilateral we must find the area of triangle ADC and triangle ABC.

Area of triangle ADC = 1/2 x base x height= 1/2 x 3.004366195 x 5 = 7.510915488 square centimeter

Area of triangle ABC = 1/2 X base x height = 1/2 x 4 x 4.245729883 =8.491459766 square centimeter

Area of quadrilateral ABCD = 7.510915488 + 8.491459766 = 16.00237525 square centimeter

Given:

yearly salary=28,800

Required:

To calculate adjusted monthly income

Explanation:

student loan

250 dollar

The coordinates of the dresser

i.e A(-1,-1), B(2,-1), C(2,1), D(-1,1)

after rotating the dresser 180 degrees about the origin, translating 2 units left and 3 units up becomes

A(3, 2), B(0, 2), C(0,0), D(3, 0)

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The coordinates of the vertices of the dresser.

A(-1,-1), B(2,-1), C(2,1), D(-1,1).

Now,

Rotating 180 degrees the coordinates become,

A(2, 1), B(-1, 1), C(-1, -1), D(2, -1)

Translating 2 units left.

The coordinates become:

A(2-2, 1-2), B(-1-2, 1-2), C(-1-2, -1-2), D(2-2, -1-2)

A(0, -1), B(-3, -1), C(-3, -3), D(0, -3)

Translating 3 units up.

The coordinates become:

A(0+3, -1+3), B(-3+3, -1+3), C(-3+3, -3+3), D(0+3, -3+3)

A(3, 2), B(0, 2), C(0,0), D(3, 0)

Thus,

The coordinates of the dresser

i.e A(-1,-1), B(2,-1), C(2,1), D(-1,1)

after rotating the dresser 180 degrees about the origin, translating 2 units left and 3 units up becomes

A(3, 2), B(0, 2), C(0,0), D(3, 0)

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Answer:

10.736

Step-by-step explanation:

11 1/9 - 3/8 =10/53/72

= 10.736

The ratio of r-32 to r-125 is 3:2

A ratio in math displays how many times one number is contained in another. Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B). When both sides of a ratio are whole numbers and cannot be divided by a whole number, the ratio is in its simplest form.

Given,

Refrigerant r-32 and r-125 are the two main constituents of refrigerant r-410.

60 pounds of r-32 and 40 pounds of  r-125 make up to 100 pounds of r-410.

The ratio of r-32 to r-125 = 60/40 =3/2.

Hence, the required ratio of r-32 to r-125 is 3:2

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Answer:

6.75 miles

Step-by-step explanation:

27/2 = 13.5

27/4 = 6.75

27 miles in 2 hours

13.5 in 1 hour

6.75 in half an hour :)

Answer: 6.75 miles

Step-by-step explanation:27/4=6.75, I divided by 4 to get the half hour

In this problem the function that models the hight is:

So when the water hits the grownd h=0 so we replace that and solve for t so:

To solve this expression we can use the cuadratic equation:

and we operate so:

Now we solve bout of the equation so:

So the answer that have sense is the secon one so the water hits the ground after 1.27 seconds

The multiplication model represented by the image is given as follows:

12(4 x 10) + (3 x 10) + (6 x 10) + 18.

A multiplication operation is equivalent to consecutive additions.

For the green squares, the following addition is obtained:

10 + 10 + 10 + 10 + 6.

(which is the number of squares painted green).

Considering a multiplication with consecutive additions, it is written as follows:

4 x 10 + 6.

For the red squares, the expression is:

4 + 4 x 10 + 2 = 4 x 10 + 6.

For the blue squares, the expression is:

8 + 3 x 10 + 8

3 x 10 + 16

For the white squares, the expression is:

2 + 6 x 10

Hence the total model is calculated as follows:

4 x 10 + 6 + 4 x 10 + 6 + 3 x 10 + 16 + 2 + 6 x 10

(4 x 10)(6 + 6) + (3 x 10) + (6 x 10) + 18.

12(4 x 10) + (3 x 10) + (6 x 10) + 18.

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Recall that the opposite of 2 is

Therefore, the opposite of the opposite of 2 is

Now, recall that a horizontal number line is of the form:

Therefore, 2 is to the right of zero.

Answer:

On a horizontal number line, the opposite of the opposite of 2 is to the right of zero and is written as 2.

The decimal number 1.025 is 41/40 in fractions.

A number system is defined as a system of writing to express numbers.

A fraction is a part of a whole

The decimal number one point zero two five should be converted to fraction.

The conversion of 1.025 to fraction is 41/40.

If we calculate  41/40 we get the value 1.025.

Hence 1.025 is 41/40 in fractions.

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Answer:

  $16.90 per hour

Step-by-step explanation:

You want the hourly wage Taylor earned when she worked 20 hours for $338.00.

To find dollars per hour, divide dollars by hours:

  $338.00/(20 h) = $16.90/h

Taylor earned $16.90 per hour.

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The values of x and y after solving the given system of equations are respectively.

According to the question,

We have the following two equations:

y = 2x+3 ....(1)

y = 4x-1 .....(2)

Now, we can put the value of y from equation 1 in equation 2:

2x+3 = 4x-1

Now, we can change sides as it will not affect the result.

4x-1 = 2x+3

Moving 2x from the right hand side to the left hand side will result in the change of sign from plus to minus:

4x-2x-1 = 3

2x-1 = 3

2x = 3+1

2x = 4

x = 4/2

x = 2

Now, we can put the value of x in equation 1 to find the value of y:

y = 2x+3

y = 2*2+3

y = 4+3

y = 7

Hence, the value of x is 2 and the value of y is 7 after solving the equations.

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Let the rectangle with side as x and y.

Determine the area of the rectangle.

The sides of the rectangle is increased by twice means that new sides are 2x and 2y.

Determine the area of new rectangle.

So new area is four times the previous rectangle.

Thus correct answer is option A quadruples.

In order to get the volume of the irregular figure, let's cut it into two regular figures. See the cut below.

First, let's calculate the volume of the upper part.

The dimensions of the upper part are 7cm by 3 cm by 3 cm. Since the shape is a rectangular prism, let's multiply 7, 3, and 3.

Hence, the volume of the upper figure is 63 cm³.

Let's now calculate the volume of the lower figure.

The dimensions of the lower figure are 5cm by 4 cm by 3 cm. Since this is a rectangular prism too, let's multiply the dimensions.

The volume of the lower figure is 60 cm³.

Let's add the volume of the two figures to get the volume of the entire irregular figure.

Therefore, the entire volume of the given irregular figure is 123 cm³.

Both Sheila and Bob together can wash the car in 10 minutes

Calculating work :

The formulas to find work and time is given by

Time Taken = 1 / Rate of Work

Rate of Work = 1 / Time Taken

If a work can be done in x number of days, then the work can be done in one day = 1/x

Total Work done = Number of Days × Efficiency ( of the person or machine )

Given that,    

Sheila can wash her car in 15 minutes

Let us consider washing the car is 1 unit of work

Then the work can done by Sheila in 1 minute = 1/15  

Bob take twice as long as Sheila to wash the same

Bob can wash the same car in 30 minutes

Then the work can done by Bob  in 1 minute = 1/30  

From above calculation,

The work can be done by Sheila and Bob = (1/15 + 1/30)

= (2+1) /30 = 3/30 = 1/10  

So the efficiency of Both Sheila and Bob per minute = 1/10

Let Both can complete the work in x minutes

As we know Total Work done = time × Efficiency

⇒ 1 = x × 1/10

⇒ x = 1 × 10

⇒ x = 10 minutes

Therefore,

Both Sheila and Bob together can wash the car in 10 minutes

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According to the theorem, the corresponding angles, formed by a transversal on a pair of parallel sides, are always equal.

Also, the sum of angles on a straight line is 180 degree.

The angles 5 and 7 constitute a pair of corresponding angles, formed by the transversal 'r' on the pair of parallel sides 'p' and 'q'. So they must be equal,

The angles 4 and 5 constitute a straight line, so they must add up to be 180 degrees,

Thus, the angle 4 measures 49 degrees.

7 + 7 + 7 + 7 + 7​ means 7 is added 5 times

It could be written as

5(7)

7 x 5 and

7 . 5

But it can not be written as 7^5 because 7^5 means 7 x 7 x 7 x 7 x 7

Hence, 7^5 does not represent the expression 7 + 7 + 7 + 7 + 7​

This makes the correct option to be the third option. That is 7^5

Answer:

2^9

Step-by-step explanation:

8 is [tex]2^3\\[/tex], so we can replace [tex]8^3[/tex] for [tex](2^3)^3[/tex]

Exponents separated by parenthesis, multiply.

So [tex](2^3)^3=2^9[/tex]

The equation of the quadratic function f(x) is f(x) = (x + 4)(x - 2)

From the question, we have the following parameters:

Roots = -4 and 2

Point = (1, -5)

Rewrite the given parameters as

Roots: x = -4 and x = 2

Point: (x, y) = (1, -5)

Recall that:

x = -4 and x = 2

This gives

x + 4 = 0 and x - 2 = 0

Multiply the equations

So, we have

y = a(x + 4)(x - 2)

When (x, y) = (1, -5), we have

-5 = a(1 + 4)(1 - 2)

This gives

a = 1

Substitute a = 1 in y = a(x + 4)(x - 2)

y = (x + 4)(x - 2)

Hence, the equation of f(x) = (x + 4)(x - 2)

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Answer:

f(x) = (x − 2)(x + 4)

Hope this helps you

Answer:

65

Step-by-step explanation:

First find the area of the triangles

a*b/2 is the equation for triangles

5*6/2 is 15

multiply 15*2 because there are two triangles

15*2=30

Now find the area of the rectangle

5*7=35

Then add.

30+35=65

:)

We know that the point-slope formula is given by:

y − y₁=m(x − x₁)

where the terms: m, y₁ and x₁ are numbers.

Given that the line passes through a given points we have that:

m is the slope of the line

y₁ is the y value of that given point

x₁ is the x value of that given point

We want to find the slope m, having that

(x₁, y₁) = (-18, -2)

(x₂, y₂) = (9, 10)

The slope is always a rate of change. It is:

m = Δy/Δx,

where Δ means "change"

Step 1: finding the change of each term x and y

Δy = change of y = y₂ - y₁

Δy = 10 - (-2) = 12

Δx = change of x = x₂ - x₁

Δx = 9 - (-18) = 27

Step 2: dividing the found quantities

Then

m = Δy/Δx = 12/27

m = 4/9

Step 3: replacing in the equation

Using the equation, we have that

y − y₁ = m(x − x₁)

replacing m:

y − y₁= 4/9(x − x₁)

For the first point: (-18, -2)

We have that (x₁, y₁) = (-18, -2)

since the equation is

y − y₁ = 4/9(x − x₁)

replacing each term for each number of the given coordinate

y − (-2) = 4/9(x − (-18))

y + 2 = 4/9(x + 18)

Equation: y + 2 = 4/9(x + 18)

For the second point: (9, 10)

We have that (x₂, y₂) = (9, 10)

since the equation is

y − y₂ = 4/9(x − x₂)

replacing each term for each number of the given coordinate

y − (10) = 4/9(x − (9))

y - 10 = 4/9(x - 9)

Equation: y - 10 = 4/9(x - 9)