Yall please help i need to turn this in i have too many demerits

Yall Please Help I Need To Turn This In I Have Too Many Demerits

Answers

Answer 1

The answers to all the subparts are:

(A) 5 cups of yellow paint will be needed with 1 cup of blue paint to make the same green shade.(B) The new pair to make the same shade of green will be 4 cups of blue paint and 20 cups of yellow paint.(C) The proportional relationship of the table will be x : 5y.(D) According to part (C), the Constant of proportionality will be x : 5y.

What is constant proportionality?The ratio of two proportional values at a constant value is known as the constant of proportionality. When either their ratio or product results in a constant, two variables' values are said to be proportionally related. The ratio between the two specified quantities determines the value of the proportionality constant.

So, (A) To make the same shade of green:

Cups of blue paint: 2Cups of yellow paint: 10

Then, cups of yellow paint when blue paint is just 1 cup:
10/2 = 5/1 = 5

Therefore, 5 cups of yellow paint will be needed with 1 cup of blue paint to make the same green shade.

(B) New pair of numbers to make the same green shade:

Old pair:

Cups of blue paint: 2Cups of yellow paint: 10

Another pair:

Cups of blue paint: 1Cups of yellow paint: 5

The new pair would be:

Cups of blue paint: 2 × 2 = 4Cups of yellow paint: 10 × 2 = 20

Therefore, the new pair to make the same shade of green will be 4 cups of blue paint and 20 cups of yellow paint.

(C) Proportional relationship:

Let cups of blue paint be: xCups of yellow paint be: y

Old pair:

Cups of blue paint: 2Cups of yellow paint: 10

Proportional relationship will be:

2x/10y = x/5y ⇒ x : 5y

Therefore, the proportional relationship of the table will be x : 5y.

(D) Constant of proportionality:

According to part (C), the Constant of proportionality will be x : 5y.

Therefore, the answers to all the subparts are:

(A) 5 cups of yellow paint will be needed with 1 cup of blue paint to make the same green shade.(B) The new pair to make the same shade of green will be 4 cups of blue paint and 20 cups of yellow paint.(C) The proportional relationship of the table will be x : 5y.(D) According to part (C), the Constant of proportionality will be x : 5y.

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Related Questions

Would the image be categorized as a function or as a relation? Use at least one sentence to explain your answer.

Answers

Answer:

This is a relation, not function.

Step-by-step explanation:

The attached graph is NOT a function, since it doesn't pass the vertical line test.

If a vertical line cuts the graph more than once, then this relation is not a function.


Given A-
2 2
1 3
what is A-¹?

Answers

The inverse of matrix A = [tex]\left[\begin{array}{cc}2&2&1&3\\\end{array}\right][/tex] is [tex]A^{-1} = \frac{1}{4}[/tex] [tex]\left|\begin{array}{cc}3&-2&-1&2\\\end{array}\right|[/tex]      

The given matrix is A = [tex]\left[\begin{array}{cc}2&2&1&3\\\end{array}\right][/tex]

The inverse of a matrix is given by

[tex]A^{-1} = \frac{1}{|A|} adjA[/tex]                   ...(1)

Now, determinant of matrix A is

|A| = [tex]\left|\begin{array}{cc}2&2&1&3\\\end{array}\right|[/tex]

= (3)(2) - (2)(1)

= 6 - 2

= 4

Now, adjoint A will be

[tex]A_{11}[/tex] = 3

[tex]A_{12}[/tex] = -1

[tex]A_{21}[/tex] = -2

[tex]A_{22}[/tex] = 2

AdjA = [tex]\left|\begin{array}{cc}3&-2&-1&2\\\end{array}\right|[/tex]

Now, substituting the values of |A| and AdjA in equation (1), we get

[tex]A^{-1} = \frac{1}{4}[/tex] [tex]\left|\begin{array}{cc}3&-2&-1&2\\\end{array}\right|[/tex]        

Therefore, [tex]A^{-1} = \frac{1}{4}[/tex] [tex]\left|\begin{array}{cc}3&-2&-1&2\\\end{array}\right|[/tex]      

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A car journey is m
miles long.

One kilometre is equivalent to x
miles.

The car uses one litre of fuel to travel a distance of f
kilometres.

Fuel for the car costs p
pence per litre.

Which of the following expressions gives the cost of fuel for this journey, in pounds?

Answers

The expression gives the cost of fuel for this journey is option H mp / 100 fx

Given,

The total distance of a car journey = m miles

One kilometer = x miles

The amount of petrol needed to travel a distance of f kilometers = 1 liter

Cost of the fuel = p pence/ liter

Now we have to find the expression which gives the cost of fuel for this journey in pounds.

1 pound = 100 pence

So,

The distance in miles we can travel with 1 liter of petrol = fx

Total liter of petrol needed for the journey = m/fx

Total cost of petrol for the journey = mp / fx100

That is,

The expression gives the cost of fuel for this journey is option H mp / 100 fx

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The question is incomplete. Completed question is given below:

A car journey is m miles long.

One kilometre is equivalent to x miles.

The car uses one litre of fuel to travel a distance of f kilometres.

Fuel for the car costs p pence per litre.

Which of the following expressions gives the cost of fuel for this journey, in pounds?

(There are 100 pence in one pound.)

A. 100fmpx

B. 100fmp/x

C. 100mpx/f

D. 100mp/fx

E. fmpx/100

F. fmp/100x

G. mpx/100f

H. mp/100fx

A straight road makes an angle of 15 degrees with the horizontal. When the angle of elevation of the sun is 57 degrees, a vertical pole at the side of the road casts a shadow 75 feet long directly down the road, as shown in the figure. Approximate the length of the pole. Round to the nearest hundredth.

Answers

The length of the pole is 19.15 feet.

What is the angle of elevation?

The angle of elevation is the angle created when an observer looks at an object placed above its height in relation to the eye level or the horizontal line. An angle of elevation is, for example, the angle created between the line of sight and the horizontal line when a man on Earth observes the Sun.

Given:

Angle made by straight road = 15°

Angle of elevation of the sun = 57°

Length of the shadow = 75 feet

∠ACB = 90° - 57° = 33°

∠CAB = 57° - 15° = 42°

Using Sine Law to find BC i.e.length of the pole.

[tex]\frac{BC}{sin A} = \frac{AB}{sin C}[/tex]

[tex]\frac{BC}{sin 42} = \frac{75}{sin 33}[/tex]

[tex]BC= \frac{75sin 42}{sin 33}[/tex]

BC ≅ 19.15 feet (to the nearest hundredth.)

Hence, the approximate length of the pole is 19.15 feet.

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Evaluate the quantity of x cubed minus 2x squared plus 3x minus 7 end quantity divided by the quantity of x minus 1 end quantity period. x squared minus x plus 2 minus 5 divided by the quantity x minus 1 end quantity x squared minus 2x plus 2 minus 9 divided by the quantity x minus 1 end quantity x squared minus x plus 4 minus 9 divided by the quantity x minus 1 end quantity x cubed minus 2x plus 2 minus 5 divided by the quantity x minus 1 end quantity

Answers

Answer:

(x^3 + 3x^2 - 2x + 7)/x- 2

Expand the numerator in the above expression

(x^3 + 5x^2 - 2x^2 + 8x - 10x - 16 + 23)/(x - 2)

Rearrange the terms of the numerator in the above expression

(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)

Factorize the numerator in the above expression

[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)

Factor out x^2 + 5x + 8

[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)

Split the fractions

(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)

Divide the common factors

(x^2 + 5x + 8) + 23/(x - 2) hope this help btw your welcome

Answer:

The answer is really option A. x^2 - x +2-5/x-1

Step-by-step explanation:

I just took the test and got it right :)

how do i multiply these ? (5x-6.9)(2x+12.2)

Answers

Follow the pemdas rule Parenthesis exponents multiplication division addition subtraction

Answer:

10x^2 + 47.2x - 84.18

Step-by-step explanation:

You distribute both terms in the first set of parentheses (5x-6.9) to the terms in the second set (2x+12.2) So when you're doing it 5x gets multiplied by 2x and 12.2 and -6.9 gets multiplied by 2x and 12.2. Then you simplify as much as possible

What number does
2(x+3)²
3(x-1)²
represent WHEN x = 3?

Answers

Answer:

72 and 12

Step-by-step explanation:

substitute x = 3 into the expressions

2(x + 3)²

= 2(3 + 3)²

= 2(6)²

= 2 × 36

= 72

--------------------

3(x - 1)²

= 3(3 - 1)²

= 3(2)²

= 3 × 4

= 12

The mean birth weights of infants born at an area hospital in the month of Aprill is 128 oz. with a standard deviation of 10.2 oz. Given an interpretation of
this situation.

Answers

The distance between each infant's weight when they were bonded in April is the proper interpretation of the standard deviation in this situation. And the average weight was 10.20 pounds.

What is standard deviation ?

The variance's positive square root is the standard deviation. One of the foundational strategies in statistical analysis is standard deviation. The term "standard deviation," often shortened as "SD," tells us how far a value deviates from the mean value. It is represented by the symbol "."

Given that : The mean birth weights of infants born at an area hospital in the month of April is 128 oz. with a standard deviation of 10.2 oz.

So let's look at this and see what the correct interpretation of a standard deviation is, which is the distance between each person's actual way of being born and a braille and the main way it was, which is typically about 10 points two oh. From this, we can deduce what the question Act is. The distance between each infant's weight when they were bonded in April is the proper interpretation of the standard deviation in this situation. And the average weight was 10.20 pounds.

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i give brainlest can somebdy pls help me

Answers

After evaluating the given fraction, the resultant answer is (C) 1¼.

What are fractions?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.

So, 8 ÷ 6⅖:

Now, evaluate as follows

8 ÷ 6⅖8 ÷ 30+2/58 ÷ 32/58/1 × 5/325/4

Which can also be written as 1¼.

Therefore, after evaluating the given fraction, the resultant answer is (C) 1¼.

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all the students in an algebra class took a 100-point test. five students scored 100, each student scored at least 60, and the mean score was 76. what is the smallest possible number of students in the class?

Answers

The smallest possible number of students in the algebra class is 13.

What is meant by the word inequality?Inequalities define the connection between two non-equal values. Inequality means being unequal. If two values really aren't equal, we use the "not equal symbol (≠)".

Let n≥5 be the number of students.

The sum of their scores must be at least 5×100 + (n - 5).

Simultaneously, we must achieve the mean 76, which is equivalent to achieving the mean sum 76n.

As a result, we have a sufficient precondition on n: we should have 5×100 + (n - 5) ≤ 76n.

This can be reduced to 200 ≤ 16n. This is true for the smallest integer n = 13.

To complete our solution, we must now determine how 13 students might have scored just on test.

We have 13×76 = 988 points to distribute to them. Because five 100s equal 500, we must distribute the remaining 488 points as among remaining eight students.

This can be accomplished, for example, by awarding each of them 61 points.

Thus, the smallest possible number of students in the class is 13.

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F(x)=3x^2-4x+8G(x)=2x-5 use the functions above to find the value of g(f(-2)) I don’t understand how to do this

Answers

Given,

[tex]f(x)=3x^2-4x+8,\text{g(x)=2x-5}[/tex]

To find g(f(-2)). we first find the value of f(-2).

The value of f(-2) is,

[tex]\begin{gathered} f(-2)=3(-2)^2-4(-2)+8 \\ \text{ =3(4)+8+8} \\ \text{ =12+8+8} \\ \text{ =28} \end{gathered}[/tex]

So now to find the value of g(f(-2)),

[tex]g(f(-2))=g(28)[/tex]

So the value of g(28) is,

[tex]\begin{gathered} g(28)=2(28)-5 \\ \text{ =56-5} \\ \text{ =51} \end{gathered}[/tex]

So the value of g(f(-2)) is 51.

If g(x) = -x, for what value of x does
g(x) = -9?

Answers

Answer:

x = 9

Step-by-step explanation:

given g(x) = - x and g(x) = - 9 , the equate right sides

- x = - 9 ( multiply both sides by - 1 )

x = 9

PLEASE HURRYYYY

The segment contains points S(a, b) and T(c, d). Which formula should be used to find the midpoint of the segment?

Answers

In this case, the formula you would use is (a+c)/2 , (b+d)/2.

In reality, you’re using the midpoint formula. The midpoint formula is as follows:

(x1+x2)/2 , (y1+y2)/2


For example,
If you had point (2,4) and (4,8) you would plug in the equation as follows.

(2,4) = x1,y1
(4,8) = x2,y2

(2+4)/2 , (4+8)/2
6/2 , 12/2
(3,6)

So the midpoint of the two points (2,4) and (4,8) would be (3,6).

If the height of a cone is three
times of the radius of the base and its volume is
343 cm³, then find the radius of the base of the cone

Answers

As a result, the cone's volume is equal to three times its radius √343/π .

How to understand the concept of mensuration?

The word "mensuration" literally means "to measure." It is typically employed when dealing with geometric shapes when it is necessary to calculate different physical values like perimeter, area, volume, or length. Mensuration is the term for measuring these amounts.

According to the given data:

So with respect to the information provided to us :

Height of a cone =3* radius of the base

let height be h and radius be r

h=3r

The Formula for volume of cone is:

V=1/3hπr²

Putting the value we get:

343=1/3*π*r²*3r:

r= √343/π

Therefore ,

the volume of the cone whose height is three times its radius is:

√343/π

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PLEASE HELP ASAP!! THANK YOU

Answers

     The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

First 585 - 50% = ?

     Then, add or subtract 50% from the first total and then, I believe, add (or it might be the other way around) to get your actual total. We would want it because it shouldn't affect the cost of the first machine. I'm sorry, but I haven't done any math in a long. use a calculator if necessary

The selling price determined

    Calculate the total cost of all the items you bought. To calculate the cost price, divide the total cost by the quantity of units purchased. To determine the ultimate price, use the selling price formula: Cost price + profit margin = selling price.

How is a 20% profit margin determined?Use the decimal representation of 20%, which is 0.2.To get 0.8, subtract 0.2 from 1.Your product's original cost should be divided by 0.8.You should charge this amount in order to make a 20% profit margin.

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The Smith twins, Joe and John, have a car collection.
The number of cars is represented by x.
The number of cars in Joe's collection is 2 times the number in John's collection.
The total number in both is 78. What is x, the number in John's collection?
A. 26 Cars
B. 54 Cars
C. 39 Cars
D. 78 Cars

Answers

B. 54 cars because basically I’m right

Answer:

Step-by-step explanation:

x = 39

C. 39 Cars

Jesse recorded a temperature of 75 degrees Fahrenheit this morning for science class. The temperature increased by 4 1/2 degrees Fahrenheit in the afternoon, before decreasing 2.6 degrees Fahrenheit in the evening. What was the temperature in the evening?

Answers

The temperature in the evening is 79.5 degrees Fahrenheit.

What is basic algebra?

The area of mathematics known as algebra aids in the representation of issues or circumstances into mathematical statements. Creating a meaningful mathematical expression, it requires variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in all areas of mathematics, including coordinate geometry, calculus, and trigonometry. 2x + 4 = 8 is a basic algebraic expression.When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, we obtain algebraic expressions as the mathematical statement.

Jesse recorded a temperature in the morning of 75 degrees Fahrenheit

The temperature increased by [tex]4\frac{1}{2}[/tex] degrees Fahrenheit in the afternoon

75 +  [tex]4\frac{1}{2}[/tex] =[tex]\frac{159}{2}[/tex]

=79.5 degrees Fahrenheit

Before decreasing by 2.6 degrees Fahrenheit in the evening. The temperature in the evening is 79.5 degrees Fahrenheit.

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If f(x) = (x-4)(x+3), determine the x-intercepts of each function.
a) y=f(x)
b) y=-2f(x)
c) y=f(-1/2x)
d) y=f(-(x+1))

Answers

a) The x-intercepts of y=f(x) is (-3,0) (4,0)

b) The x-intercepts of y=-2f(x) is (-3,0) (4,0)

c) The x-intercepts of y=f(-1/2x) is (-1/8,0) (1/6,0)

d) The x-intercepts of y=f(-(x+1)) is (-5,0) (2,0)

What is x-intercept?

A line's x-intercept is the distance in x coordinates from the line's intersection with the x-axis at its origin. A location on the graph where y is 0 is known as the x-intercept. The x-intercept of a line that is perpendicular to the y-axis is undefined.

Here to determine the x-intercept put y=0,

Given f(x)=(x-4) (x+3)

a) y=(x-4) (x+3)

Replacing y by 0 we get,

(x-4) (x+3) =0

x=-3, 4

Therefore, x-intercepts of y=f(x) is (-3,0) (4,0)

b) y = -2(x-4) (x+3)

Replacing y by 0 we get,

-2(x-4) (x+3) =0

x=-3, 4

Therefore, x-intercepts of y=-2f(x) is (-3,0) (4,0)

c) y= (-[tex]\frac{1}{2x}[/tex]-4) (-[tex]\frac{1}{2x}[/tex]+3)

Replacing y by 0 we get,

(-[tex]\frac{1}{2x}[/tex]-4) (-[tex]\frac{1}{2x}[/tex]+3) =0

By solving the above equation

(-[tex]\frac{1}{2x}[/tex]-4) =0 and (-[tex]\frac{1}{2x}[/tex]+3) =0

-1/2x=4 and -1/2x=-3

x=-1/8 and x=1/6

Therefore, x-intercepts of y=f(-1/2x) is (-1/8,0) (1/6,0)

d) y=(-(x+1)-4) (-(x+1) +3)

Replacing y by 0 we get,

(-(x+1)-4) (-(x+1) +3) =0

By solving the above equation

(-(x+1)-4) =0 and (-(x+1) +3) =0

-(x+1) =4 and -(x+1) =-3

x=-5, 2

Therefore, x-intercepts of y=f(-(x+1)) is (-5,0) (2,0)

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(X) 1.10.PS-7
Simplify the expression. Write the answer in scientific notation.
(7×10¯²) (9×10¯²)
(7×10¯²) (9×10¯²) = ¯
(Simplify your answer. Use scientific notation. Use the multiplication symbol in the r
Enter you

Answers

The scientific notation is 6.3 × [tex]10^{-3}[/tex]

The expression is ( 7 ×[tex]10^{-2}[/tex] )( 9 × [tex]10^{-2}[/tex])

Calculate the product or quotient

=63 × ([tex]10^{-2}[/tex] ×[tex]10^{-2}[/tex])

Simplify using the exponent rule with the same base [tex]a^{n} . a^{m}[/tex] = [tex]a^{n + m}[/tex]

=63 × [tex]10^{-2-2}[/tex]

=63 ×[tex]10^{-4}[/tex]

= 6.3 × [tex]10^{-3}[/tex]

Therefore the scientific notation is 6.3 ×[tex]10^{-3}[/tex].

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3.if the m∠1 is 57° , find the measure of ∠6.
Show your work

Answers

123°

180°-57°=<6=123°

Look at question 23 please help! I'm giving out the brainliest!!!!!!

Answers

The expressions 8x²+3(x²+y) and 7x²+7y+4x²-4y are equivalent .

In the question ,

two expressions are given as

8x²+3(x²+y) and 7x²+7y+4x²-4y .

Simplifying the first expression

we get ,

= 8x²+3(x²+y)

= 8x² + 3x² + 3y

adding the like terms , we get

= 11x² + 3y

Simplifying the second expression

we get ,

= 7x²+7y+4x²-4y

adding and subtracting the like terms ,

we get

= 11x² + 3y

We can see that both the expressions are giving the final answer  as 11x² + 3y  .

hence , both the expressions are equivalent .

Therefore , the expressions 8x²+3(x²+y) and 7x²+7y+4x²-4y are equivalent .

The given question is incomplete , the complete question is

Are the expressions 8x²+3(x²+y) and 7x²+7y+4x²-4y equivalent ? Explain your reasoning .

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What is the equation in slope-intercept form of a line that passes through the point (−2, −6) and has a slope of 12?

Answers

Answer:

y = 12x + 18

Step-by-step explanation:

Equation of line in slope-intercept form: y =mx +b

Here, m is the slope and b is the y-intercept.

  m = 12

Substitute m =12 in the above equation,

        y = 12x + b

This line passes through (-2,-6). So, plugin the point in the above equation.

       -6 = 12*(-2) + b

      -6 = -24 + b

-6 + 24 = b

         b = 18

Equation of the line:

         [tex]\sf \boxed{\bf y = 12x + 18}[/tex]

The table shows the percent of each type of movie in Brayden's collection. What is the ratio of Action movies to all of the movies in Brayden's collection?



Movie Type Percent of Collection
Comedy 20%
Action 40%
Drama 15%
Science Fiction 25%


Select all that apply.

A.
2 : 5

B.
3
20
C.
2
3
D.
2
5
E.
3 : 20

Answers

the ratio of action movies to all movies is 2: 5 .

In mathematics, a ratio illustrates how frequently one number appears in another. On a fruit tray, the ratio would be eight to six if there were eight oranges and six lemons.

Ratios can be lowered by dividing each quantity by the sum of all the common factors between the numbers (much like fractions are).When the ratio's numbers are the smallest practical integers, the fraction is said to be in its simplest form.The ratio's antecedent and consequent are frequently referred to as A and B, respectively.

Let Brayden has x number of  movies in total.

Total number of action movies in  his collection = 40% of x = 0.4 x

Other movies = 1 - 0.4x = 0.6 x

Ratio of action movies to all movies = 0.4x : x = 2: 5

Therefore the ratio of action movies to all movies is 2: 5 .

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Determine which answer in the solution set will make the equation true.

2p + 9 = 4p − 13
S: {−11, 0, 11, 22}

Answers

Answer:

11

Step-by-step explanation:

If you input the number and then solve, you should get that #=#

2(11)+9=4(11)-13

22+9=44-13

31=31

Answer: 11

Step-by-step explanation: 2(11)+9=4(11)-13, 22+9=44-13, 31=31

The population of a city increases by 3.1% per year. If this year's population is
290,000, what will next year's population be, to the nearest individual?

Answers

Answer:

the  next year population is 122,689      

Step-by-step explanation:

The computation of the next year population is as follows:

= This year population × increase percentage

= 119,000 × (1 + 0.031)

= 119,000 × 1.031

= 122,689

Hence, the  next year population is 122,689

The above formula is applied so that the correct value of the population could come

and the same is relevant

35 = u/5 + 12 solve for u and simplify the answer as much as possible

Answers

Answer:

u = 115

Step-by-step explanation:

35 = u/5 + 12

35 - 12 = u/5

(35 - 12) * 5 = u

u = (35 - 12) * 5

u = 115

A robot can complete 5 tasks in 3/4 hour. each task is the same. how long does it take the robot to complete one task

Answers

The robot will take 0.15 hours to complete one task.

What is the unitary method of problem solving?
A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. In the unitary method, the value of a unit quantity is determined before the values of other units are determined. Direct variation and inverse variation are its two different forms of variations. When there is a direct variation, an increase or decrease in one quantity will result in an equivalent rise or fall in the other. If we increase one quantity in inverse variation, the value of another quantity will drop.

Given, time taken by robot to complete five tasks = 0.75 hours
Thus, time taken by robot to complete one task = (0.75/5) = 0.15 hours
Therefore, the robot will take 0.15 hours to complete one task.

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Given mn, find the value of x.
Answer:
(2x+5)° (8x+5)°
Submit Answer
m
00

Answers

Step-by-step explanation:

2x+(-8x) +5-5

-5=0. u Wii collect like terms and if u do that that's the answer if am wrong let me know

John's commute to work is 20kmhr while Sheri's commute is 500mmin.


Who has the fastest commute to work in mihrif 1.61km=1mi?

Answers

By 6.2 miles per hour, Sheri commutes more quickly.

We are given that,

John travels to work = 20km/hr

Sheri travels to work = 500m/min converting this into km/hr we get ,

1.61km/hr or 1 mile

John travels to work at the following rate:

[tex]\frac{20 km}{1 hr} * \frac{1 mile}{1.61km} = 12.42 miles/hr[/tex]

Sheri travels work at the following rate:

[tex]\frac{500m}{1min} *\frac{1km}{1000 m}*\frac{1mile}{1.61km}*\frac{60min}{1hr}=18.63 miles/hr[/tex]

Computing the difference between the two,

18.63 miles/hr - 12.42 miles/hr = 6.21 miles/ hr ≈ 6.2 miles/ hr

thus, by 6.2 miles per hour, Sheri commutes more quickly.

What are conversions in maths?

An amount that is multiplied or divided between one set of units and another is known as a conversion factor. In the event that a conversion is necessary, it must be carried out with the proper conversion factor to produce an equivalent value. For instance, when translating between inches and feet, 12 inches equals one foot.

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find the measure of each angle only need numbers 22, 24, and 26

Answers

22) 68

24) 90

26) 158

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