Elijah walked 6 miles in 3 hours. What was his walking rate in hours per mile?

Good morning ☕️

_______

Answer:

12 , 7 , 0 , 28

___________________

Step-by-step explanation:

ƒ(x) = x² + 3

(1) ƒ(-3) = (-3)² + 3 = 9+3=12

(2) ƒ(2) = (2)² + 3 = 4+3=7

(3) ƒ(0) = (0)² + 3 = 0+3=0

(4) ƒ(5) = (5)² + 3 = 25+3=28.

:)

Answer:

2:5

Step-by-step explanation:

8:20 divided by 4 on bothe sides would equal 2:5

Equivalent ratios to 8:20 can be found by simplifying this ratio to its lowest terms, which is 2:5, and then scaling these numbers up or down by the same factor. Examples of equivalent ratios to 8:20 include 2:5, 4:10, 6:15, 8:20, and 10:25.

The question is asking for ratios equivalent to the ratio 8:20. To find equivalent ratios, we need to either multiply or divide both numbers in the ratio by the same amount. Ratios are a method of comparing quantities and numbers.

Let's start by simplifying the ratio 8:20 to its simplest form. To do this, we find the greatest common divisor of 8 and 20 which is 4. Then, divide both numbers by 4. This simplifies the ratio to 2:5.

Now that we have the simplified form of the ratio, we can find equivalent ratios by simply multiplying or dividing these numbers by any other number. For instance, multiplying by 2, we get the ratio 4:10. This is an equivalent ratio to 8:20 because the relationship between the numbers remains the same.

Here are some other equivalent ratios to 8:20: 6:15, because 2 x 3 = 6 and 5 x 3 = 15; 8:20, because 2 x 4 = 8 and 5 x 4 = 20; and 10:25, because 2 x 5 = 10 and 5 x 5 = 25.

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Answer:

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Step-by-step explanation:

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Answer:

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Step-by-step explanation:

Answer: 218

Step-by-step explanation:

Answer:

  - The diagram bar is attached.

  - Addition equation:  [tex]7+7+7=21[/tex]

  - Multiplication equation: [tex](3)(7)=21[/tex]

  -  How are the equation related? Each equation shows 3 groups of 7.

Step-by-step explanation:

We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.

 Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).

Therefore:

- Add the numbers inside the blocks in order to get the addition equation that shows the number of  beads Jan buys. This is:

[tex]7+7+7=21[/tex]

- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:

[tex](3)(7)=21[/tex]

The equations are related. Each one shows 3 groups of 7.

(y - yo) = m.(x - xo)

Let's go

(-1/n - (-1/m)) = s.(1 - n/m)

(-1/n + 1/m) = s.(1 - n/m)

(-m+n)/mn = s.(m - n)/m

If we multiply both sides by m

(-m + n)/n = s.(m - n)

If we take the (-1) from the left side we have

(-1.(m - n))/n = s.(m - n)

And if we divide both sides by (m - n)

-1/n = s

So our slope is -1/n

In the number 21,354, the digit 2 has the greatest value.

The digit furthest to the left in a number is the greatest or highest place value. Any number other than zero could be it.

Notice that the digit furthest to the left in the number 21,354 is 2. So, 2 has the greatest or highest place value.

Hence, In the number 21,354, the digit 2 has the greatest value.

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Answer: 16 girls.

Step-by-step explanation: 16 girls means that there are 8 boys. 8+16=24.

Answer:

There are going to be 16 girls on the tennis team

Answer:

When we are moving things of 5 tons when the amount $0.70 per one pound, from New York to Florida the total cost it will be $7000

Solution:  

From question given data are

The amount charge per one pound when we transferring from New York to Florida = $0.70

The total amount for 5 tons when we transferring from New York to Florida  is to be found out.

We know that 1 ton = 2000 pounds.

In order to find the total amount per one ton = [tex]2000 \times 0.70[/tex]

[tex]=2000 \times \frac{70}{100}[/tex]  = 1400

The total amount per one ton = $ 1400

In the given problem the total amount per 5 ton = [tex]5 \times 1400[/tex]  = $ 7000

Hence, when we are moving things of 5 tons when the amount $0.70 per one pound, from New York to Florida the total cost it will be $7000

Answer:

The total cost to move the belongings from New York to Florida is [tex]7000\[/tex]

Solution:

Given that,

Cost per pound to move from New York to Florida is [tex]0.70\[/tex]

Total weight of the belongings is 5 tons

To find: The total cost

The value of 1 ton in pounds is 2000

[tex]\therefore 5 tons = 2000\times 5 = 10,000 pounds[/tex]

So, the total cost to move the belongings from New York to Florida is [tex]total weight \times cost per pound[/tex].

Total cost = [tex]0.70\ \times 10000 = \frac{700000}{100} = 7000\[/tex]

Answer:

Section 1: 5.59%

Section 2: -2.16%

Section 3: -10.82%

Section 4: -6.54%

Section 5: -2.16%

Section 6: 7.86%

Explanation:

The formula to calculate the percent change in mass is given as:

[tex]PercentChange = \frac{ChangeInMass}{StartingMass}*100=\frac{NewMass - OldMass}{OldMass}*100[/tex]

1- Section 1:

Old mass = 7.83 g and New mass = 8.268 g

[tex]PercentChange = \frac{8.268-7.83}{7.83}*100 =[/tex]5.59%

2- Section 2:

Old mass = 7.4 g and New mass = 7.24 g

[tex]PercentChange = \frac{7.24-7.4}{7.4}*100 =[/tex]-2.16%

3- Section 3:

Old mass = 7.3 g and New mass = 6.51 g

[tex]PercentChange = \frac{6.51-7.3}{7.3}*100 =[/tex]-10.82%

4- Section 4:

Old mass = 7.49 g and New mass = 7.0 g

[tex]PercentChange = \frac{7.0-7.49}{7.49}*100 =[/tex]-6.54%

5- Section 5:

Old mass = 7.4 g and New mass = 7.24 g

[tex]PercentChange = \frac{7.24-7.4}{7.7.4}*100 =[/tex]-2.16%

6- Section 6:

Old mass = 7.89 g and New mass = 8.51 g

[tex]PercentChange = \frac{8.51-7.89}{7.89}*100 =[/tex]7.86%

Hope this helps :)

Answer:

It costs $0.14 to drive your car for one mile.

Hope this helps :)

To calculate the cost of driving per mile, the price of gasoline ($4.2) should be divided by the car's fuel efficiency (30 mpg). This results in a cost of $0.14 per mile.

To find out how much it costs to drive per mile, we need to divide the cost of one gallon of gas by the number of miles that can be driven with that gallon. In this case, the cost of gasoline is $4.20 per gallon and the mileage of the car is 30 miles per gallon.

So, in this scenario, it costs approximately $0.14 to drive your car for one mile on the highway.

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Answer:

x = variable

3 = coefficient

1 = constant

3x^2-4x+1 = algebraic expression

2 = degree

Step-by-step explanation:

variables are typically the letters in equations (usually x and y)

coefficients are the numbers attached to the variables

constants don't have any variables attached

algebraic expressions are the full expression

degrees are the small numbers in the top right corners on either constants, variables or coefficients

Hope this helps!

Each item matched with its description and meaning is

From the question, we have the following parameters that can be used in our computation:

3x² - 4x + 1

The above algebraic expression is a quadratic expression

This means that the degree of the equation is 2

Also, we have the expression to use the variable x

So, we have

variable = x

The constant term is the term without the variable x

So, we have

constant = 1

And the coefficient is 3

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Answer:

9,750 and 0.0000084

Step-by-step explanation:

9.75 × 10^3= 9,750 (move decimal 3 places to the right because exponent is positive)

8.4 × 10^-6 = 0.0000084 (move decimal 6 places to the left because exponent is negative)

it is false that the difference of two odd numbers is always an odd number.

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

the difference of two odd numbers is always an odd number

By definition:

Odd numbers cannot be divided by 2 evenly

Examples are

3 and 5

The difference between these numbers is

5 - 3 = 2

This means that the statement is false

False.

The difference of two odd numbers is always an even number.

Answer:

Step-by-step explanation:

Locate the decimal point.

Count to the left of the decimal point.

The number with the most number of digits is larger than the number with fewer digits.

437160 has six digits.

It is 10 times bigger then

43716 which only has 5 digits.

For this case we have that by definition, the midpoint formula is given by:

[tex](\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2}) = (x_ {m}, y_ {m})[/tex]

We have to:

[tex](\frac {5 + x_ {2}} {2}, \frac {2 + y_ {2}} {2}) = (- 1,0)[/tex]

So:

[tex]\frac {5 + x_ {2}} {2} = - 1\\5 + x_ {2} = - 2\\x_ {2} = - 2-5\\x_ {2} = - 7[/tex]

On the other hand:

[tex]\frac {2 + y_ {2}} {2} = 0\\2 + y_ {2} = 0\\y_ {2} = - 2[/tex]

Finally we have to:

[tex]D (-7, -2)[/tex]

Answer:

[tex]D (-7, -2)[/tex]

Answer:  The required co-ordinates of the other endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint CD of is E(-1,0) . One endpoint is C(5, 2) .

We are to find the coordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the point D.

We know that the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

So, according to the given information, we have

[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]

and

[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required co-ordinates of the other endpoint D are (-7, -2).

Answer:  The length of last piece is 30 inches.

Step-by-step explanation:

Since we have given that

Length of one leg = 18 inches

Length of other leg = 2 feet = 24 inches

As it is in the right triangle.

[tex]H^2=P^2+B^2\\\\H^2=18^2+24^2\\\\H^2=900\\\\H=\sqrt{900}\\\\H=30[/tex]

Hence, the length of last piece is 30 inches.

To solve -5/6 + (-1/12), convert both to have a common denominator of 12, resulting in -10/12 + (-1/12). Add the numerators to get -11/12. The sum of two negative fractions maintains a negative sign.

To find the answer to the problem -5/6 + (-1/12), we need to add the two fractions. When adding fractions with different denominators, we first find a common denominator. In this case, the common denominator for 6 and 12 is 12. We then convert each fraction to an equivalent fraction with this common denominator.

For the first fraction -5/6, we multiply both the numerator and the denominator by 2 to get -10/12. The second fraction is already with a denominator of 12, so we keep it as -1/12. Now, we add the numerators while keeping the denominator the same:

-10/12 + -1/12 = -11/12. The sum of the two fractions is -11/12, which is already in simplest form.

This example demonstrates that when two negative numbers add, the answer has a −ve sign, and the numerators are simply added together while the denominator remains the same.

Answer:

- 7

Step-by-step explanation:

To calculate f(g(- 3)), evaluate g(- 3) then evaluate f(x) for this value

g(- 3) = - 3 - 1 = - 4, then

f(- 4) = 3(- 4) + 5 = - 12 + 5 = - 7

Answer:

1 2/7 cups of sugar

Step-by-step explanation:

You can use a proportion.

To make it easier to write the proportion, we rewrite the numbers as decimals.

3 1/2 = 3.5

3/4 = 0.75

Let x be the unknown amount of sugar.

3.5 cups of flour is to 0.75 cup of sugar as 6 cups of flour is to x cups of sugar.

3.5/0.75 = 6/x

Cross multiply.

3.5x = 0.75 * 6

3.5x = 4.5

x = 4.5/3.5 = 45/35 = 9/7 = 1 2/7

Final answer:

Fredric's gross pay for working 46 hours at an hourly rate of $8.50 is $391.00.

Explanation:

The question asks about calculating Fredric's gross pay given the number of hours he worked and his hourly rate. To find Fredric's gross pay, we multiply the number of hours worked by his hourly rate.

Fredric worked 46 hours last week and his hourly rate is $8.50. Therefore,

Gross Pay = Hours Worked × Hourly Rate

= 46 hours × $8.50/hour

= $391.00

So, Fredric's gross pay for the week is $391.00.

Fredric's gross pay for working 46 hours at $8.50 per hour is $391.00.

To find Fredric's gross pay, we multiply his hours worked by his hourly rate.

1. **Calculate total earnings for the week:**

[tex]\[ \text{Total earnings} = \text{Hours worked} \times \text{Hourly rate} \][/tex]

[tex]\[ \text{Total earnings} = 46 \text{ hours} \times \$8.50/\text{hour} \][/tex]

2. **Perform the multiplication:**

 [tex]\[ \text{Total earnings} = 46 \times \$8.50 \][/tex]  

[tex]\[ \text{Total earnings} = \$391.00 \][/tex]

So, Fredric's gross pay for the week was $391.00.

Answer:

5"

Step-by-step explanation:

You are copying a square of side 20 inches into a smaller version of it that is exactly 25% of the original size.

Notice that 25% can be written in fraction form as: [tex]\frac{25}{100} = \frac{1}{4}[/tex]

This gives us a clue about how to reduce the original dimension: "multiply it by [tex]\frac{1}{4}[/tex], which is the same as divide it by 4:

[tex]20" * \frac{1}{4} = \frac{20"}{4} = 5"[/tex]

Answer:

Step-by-step explanation:

[tex]-2x-147=123+7x\qquad\text{add 147 to both sides}\\\\-2x-147+147=123+147+7x\\\\-2x=270+7x\qquad\text{subtract }\ 7x\ \text{from both sides}\\\\-2x-7x=270+7x-7x\\\\-9x=270\qquad\text{divide both sides by (-9)}\\\\\dfrac{-9x}{-9}=\dfrac{270}{-9}\\\\x=-30[/tex]

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that } \begin{cases} x= \frac{1}{3}\\ y= 12 \end{cases}\implies 12=k\left( \cfrac{1}{3} \right)\implies 12=\cfrac{k}{3} \\\\\\ 36=k~\hspace{10em}\boxed{y=36x}[/tex]

For direct variation, represented by y = kx, we replace y and x with the provided values. We solve for k to get 36. The direct variation equation is y = 36x.

In the case of direct variation, the equation is usually presented in the form of y = kx, where k is the constant of variation. To write an equation to represent the direct variation between x and y with the given values, we will begin by replacing y and x in our equation with the given values 12 and 1/3 respectively.

That gives us 12 = k(1/3). By solving for k, we obtain k = 12 / (1/3) = 36. Thus, the equation representing the direct variation between x and y is y = 36x.

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Answer:

3/48 or reduced 1/16

Step-by-step explanation:

1/3 x 3/4 = 3/48

Reduced:

3/48 ÷ 3/3 = 1/16

Only put the reduced fraction if it asks.

Hope this helps :)

Final answer:

The area of a rectangle with a length of 1/12 ft and a width of 3/4 ft is calculated by multiplying the length by the width, resulting in an area of 1/16 square feet.

Explanation:

To find the area of a rectangle, you multiply the length by the width. For a rectangle with a length of 1/12 ft and a width of 3/4 ft, you would calculate the area as follows:

Thus, the area of the rectangle is 1/16 square feet.

use the substitution method

y=3x-5

y= 1/2x+5

3x-5= 1/2x+5

move -5 to the other side

sign changes from -5 to +5

3x-5+5= 1/2x+5+5

3x= 1/2x+10

move 1/2x to the other

3x-1/2x= 1/2x-1/12x+10

3x-1/2x= 10

find the common denominator for 3x

pretend that there is a 1 for 3x. 3x/1. The common denominator is 2. Mutiply the fraction by 2

3x(2)/1(2)

= 6x/2

6x/2-1/2x= 10

5/2x= 10

mutiply both sides by 2/5

5/2x(2/5)= 10(2/5)

Cross out 5 and 10, divide by 5 . Then becomes 2*2= 4

x= 4

find y by using the substitution method

y=3x-5

y= 3(4)-5

y= 12-5

y= 7

Answer: (4,7)

To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we can solve the system of equations simultaneously. The ordered pair is (4, 7).

To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we need to solve the system of equations simultaneously. By setting the two expressions for y equal to each other, we can find the x-coordinate. Substituting this value back into either equation will give us the y-coordinate.

Let's set 3x-5 equal to 1/2x+5:

3x-5 = 1/2x+5

Multiplying through by 2 to eliminate the fraction:

6x-10=x+10

Combining like terms:

5x=20

Dividing both sides by 5:

x=4

Substituting this value of x into y=3x-5:

y=3(4)-5

y=12-5

y=7

Therefore, the ordered pair (x, y) is (4, 7).

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8

Because 16 ounces is a pound half of 16 is 8, 8 ounces is half a pound. :)

Answer:

so y equals 6 if thats your question. What you said wus a statement not  a question.

Step-by-step explanation:

21-9=12

12/2=6

answer=6

y is 6