Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance?

To simplify this improper fraction we can turn it into a mixed number. The fact that the denominator is 2 and the numerator isn't divisible by 2 shows that it can't simplified any further as a improper fraction.

23/2 = 11 1/2

Best of Luck!

292 days

Solution:

Step 1: Given data:

Principal = $2500

Annual rate = 9.3%

Simple interest paid = $186

Step 2: To find the number of year for the loan paid.

Simple interest = [tex]\frac{Principal\times rate\times year}{100}[/tex]

[tex]186=\frac{2500\times9.3\times years}{100}[/tex]

Do cross multiplication.

⇒ 186 × 100 = 2500 × 9.3 × years

⇒ [tex]\frac{186\times100}{2500\times9.3}=years[/tex]

⇒ [tex]years=\frac{4}{5}[/tex]

Step 3: To find how long the loan was paid in days:

1 year = 365 days

Multiply years by 365

⇒ [tex]days=\frac{4}{5}\times365[/tex]

⇒ days = 292

Hence, the loan was paid in 292 days.

The solution is x = 7 and y= 3

Solution:

Given pairs of equation are:

x = 1 + 2y ------- eqn 1

2x + y = 17 ------- eqn 2

We have to use algebraic method

Algebraic method involves substitution and elimination method

Let us use the substitution method

From equation 1, we can see that x is equal to 1 + 2y. If we substitute this for y in equation 2, we have:

2(1 + 2y) + y = 17

Solve for brackets

2 + 4y + y = 17

Combine the like terms which has same variable

2 + 5y = 17

5y = 17 - 2

5y = 15

Divide both sides of equation by 5

y = 3

So the value of y is 3. This value of y can be substituted into either equation 1 or 2 to find the value of x

Substitute y = 3 in eqn 1

x = 1 + 2(3)

x = 1 + 6

x = 7

So the solution is x = 7 and y = 3

Answer:

3

Step-by-step explanation:

y=3x+7

y=mx+b where m=slope and b=y-intercept

Answer:

the price for a dozen is 12.00

Step-by-step explanation:

Answer: the price per dozen is 11.8

Step-by-step explanation:

-you have $2.95 for three muffins

-a dozen = 12

- if you add 2.95 +2.95 +2.95 +2.95 (because 3 muffins are worth $2.95 and it 3 times 4 is equal to 12 for the dozen) you get 11.8

Answer:

b=4

Step-by-step explanation:

6b+2=2b+18 add and subtract like terms

-2b. -2b

4b+2=18

-2. -2

4b=16

----- ----- divide

4. 4

b= 4

Answer: b = +4

Step-by-step explanation: When we have this kind of a setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.

So first, let's put our variables together on the left side by subtracting 2b from both sides of the equation. That gives us 4b + 2 = 18.

Now we can move our numbers to the right by subtracting 2 from both sides and we get 4b = 16.

Divide both sides by 4 and b = +4.

Answer: 21.5

Step-by-step explanation:

Rounding 15.89: Find the number in the tenth place  8  and look one place to the right for the rounding digit  9 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 . = 15.9

Rounding 5.557: Find the number in the tenth place  5  and look one place to the right for the rounding digit  5 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .  = 5.6

Sum up 15.9+5.6 and get 21.5

Answer:

Step-by-step explanation:

the sum of a negative number and a positive number will always be negative.

counter example :

-1 + 3 = 2

-2 + 5 = 3

-1 + 7 = 6

this is only sometimes true....

-5 + 3 = -2........-3 + 5 = 2

-6 + 1 = -5......-1 + 6 = 5

The sum of a negative number and a positive number always will not be negative.

The given statement is the sum of a negative number and a positive number will always be negative.

We need to find a counter example to the statement.

The rule for adding integers with different signs is to retain the sign of the absolute value of the bigger number and subtract the absolute value of the bigger number from the smaller number.

Example:

-1+3=2 and -7+8=1

Therefore, the sum of a negative number and a positive number always will not be negative.

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Answer:

D

Step-by-step explanation:

$974.95 + $246.00 + $98.48 - $721.00 - $35.35 - $3.00 + $0.75 = $560.83

Eric Schneider's present balance is calculated by adding his previous balance and deposits, subtracting the checks written and service fees, and then adding any interest earned. The result is $560.83.

In order to find Eric Schneider's present bank balance, we need to add the money he deposited to his previous balance, subtract any checks he wrote and service charges, and add any interest earned. So, to break this down:

So, Eric Schneider's new balance is $560.83 (option d).

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Answer:

c 2x+1

Step-by-step explanation:

Answer: [tex]-31\ \°F[/tex]

Step-by-step explanation:

Degrees Celsius and Degrees Fahrenheit are defined as units of measurement of temperature.

In order to make the conversion from Degrees Celsius to Degrees Fahrenheit, you need to follow these steps:

Step 1: You must multiply the temperature in degrees Celsius by [tex]\frac{9}{5}[/tex] (or you can multiply it by 1.8).

Step 2: Then you must add 32 to the product obtained.

In this case, according to the information given in the exercise, you know that the reading at an Arctic research station showed that the temperature was [tex]-35\°C[/tex]

Therefore, applying the steps indicated before, you get that that temperature in degrees Fahrenheit is:

[tex]T_{(\°F)}=(-35)(\frac{9}{5})+32\\\\T_{(\°F)}=-31\ \°F[/tex]

Answer:

B. [tex](x,y)\rightarrow (x-4,y+3)[/tex]

Step-by-step explanation:

To get from point A to point A', you need to move 4 unite to the left and 3 units up.

To get from point B to point B', you need to move 4 unite to the left and 3 units up.

To get from point C to point C', you need to move 4 unite to the left and 3 units up.

To get from point D to point D', you need to move 4 unite to the left and 3 units up.

Hence, the translation rule is

[tex](x,y)\rightarrow (x-4,y+3)[/tex]

Answer:

x = (32y - 3)/6

Step-by-step explanation:

1. Multiply both sides of equation by 2y

6x + 3 = 32y

2. Isolate 6x

6x = 32y - 3

3. Isolate x

x = (32y - 3)/6

Answer:

see explanation

Step-by-step explanation:

Given

6x + [tex]\frac{3}{2}[/tex] y = 16

Multiply through by 2 to clear the fraction

12x + 3y = 32 ( subtract 12x from both sides )

3y = 32 - 12x ( divide both sides by 3 )

y = [tex]\frac{32-12x}{3}[/tex]

Answer:

92 ft squared

Step-by-step explanation:

6*7=42

5*10=50

42+50=92 ft squared

Answer:

120

Step-by-step explanation:

hope this helps :) have a good day

Step-by-step explanation:

[tex]|a|=\left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a<0\end{array}\right\\\\x\geq0,\ \text{then}\ |x|=x\\\\x+|x|=x+x=2x\geq0[/tex]

[tex]g(x) = 2(x-2)^2-5 \text{ is equivalent to } 2x^2-8x+3[/tex]

Solution:

Given expression is:

[tex]f(x) = 2x^2-8x+3[/tex]

We have to find the equivalent expression

[tex]\mathrm{Write}\:2x^2-8x+3\:\mathrm{in\:the\:form:\:\:}x^2+2ax+a^2[/tex]

[tex]f(x) = 2x^2-8x+3[/tex]

[tex]\mathrm{Factor\:out\:}2[/tex]

[tex]2\left(x^2-4x+\frac{3}{2}\right)[/tex]

[tex]\mathrm{Add\:and\:subtract}\:\left(-2\right)^2\:[/tex]

[tex]2\left(x^2-4x+\frac{3}{2}+\left(-2\right)^2-\left(-2\right)^2\right)[/tex]

Simplify the above equation

[tex]2(x^2-4x + \frac{3}{2} + 4 -4)\\\\2(x^2-4x +4 + \frac{3}{2} - 4)\\\\2(x^2-4x +4 -\frac{5}{2}) ------- eqn 1[/tex]

Using the algebraic identity,

[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]

Therefore,

[tex]x^2-4x+4=\left(x-2\right)^2[/tex]

Substitute the above in eqn 1

[tex]2((x-2)^2-\frac{5}{2})[/tex]

Simplify the above equation by multiplying 2 with terms inside the bracket

[tex]2(x-2)^2 -5[/tex]

Thus the equivalent expression is [tex]g(x) = 2(x-2)^2-5[/tex]

Answer:

12 times k equals 84

Hope this helps

-Amelia

Answer:

To solve this equation your goal is to get x by itself

First we need to distribute the 3 through the (2x-7)

x-6x+21=76 (-3*2x=-6x, -7*-3=21)

Your next step is to combine like terms

-5x+21=76 (x-6x=-5x)

Next subtract 21 from both sides

-5x=55 (21-21=0, 76-21=55)

Last you need to divide both sides by -5

x=-11 (-5/-5=1, 55/-5=-11)

x=-11

Hope this helps ;)

The solution to the given equation x - 3(2x - 7) = 76 is x = -11.

The equation is given as follows:

x - 3(2x - 7) = 76

First, distribute the 3 to the terms inside the parentheses:

x - 6x + 21 = 76

Combine like terms:

-5x + 21 = 76

Subtract 21 from both sides:

-5x = 76 - 21

-5x = 55

Divide both sides by -5 to solve for x:

x = 55 / -5

x = -11

Therefore, the solution to the given equation x - 3(2x - 7) = 76 is x = -11.

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The complete question is as follows:

Solve the below equation.

x - 3(2x - 7) = 76

Answer:

[tex]\large \boxed{6x^{3} - 4x^{2} - 8x -16}[/tex]

Step-by-step explanation:

(3x² + 4x + 4)(2x - 4)

The easiest method is probably to use long multiplication.

3x²  + 4x   + 4

2x   -  4            

6x³ +  8x² +  8x

      - 12x² - 16x - 16

6x³ -  4x² -   8x -16

[tex]\text{The product of the polynomials is $\large \boxed{\mathbf{6x^{3} - 4x^{2} - 8x -16}}$}[/tex]

Answer:

6x3 – 4x2 – 8x – 16

Step-by-step explanation:

A general term used to refer to buying and selling of homes is the house market.

Final answer:

The term 'real estate' is generally used to describe the buying and selling of homes, covering both new home construction, which impacts real GDP, and the resale of existing homes, which is a significant component of the housing market.

Explanation:

The general term commonly used to refer to the buying and selling of homes is real estate. This term encompasses the market for new homes, which are part of real gross domestic product (real GDP), as well as the resale of existing homes. While the buying and selling of existing homes is not counted in real GDP, it is a significant part of the housing market. Real estate can be influenced by factors such as supply and demand, economic conditions, and demographics. The American Association of Realtors suggests that when there is a six months' supply of houses, the market is considered to be in equilibrium, which can help determine whether housing prices are likely to rise or fall.

Answer:

perimeter = 25.13feets

Step-by-step explanation:

width = 25/6 feet

Area = 35 square feet

lenght = Area/width = (35*6)/25 = 8.4feets

perimeter of the rectangle = 2(25/6 + 8.4) = 25.13 feets

Answer:

4/6

Step-by-step explanation: numerator is the top number and denominator is the bottom number so in this case 4 is the numerator and 6 is the denominator.

The fraction with a numerator of 4 and a denominator of 6 is 4/6, which simplifies to 2/3.

To write a fraction with 4 as the numerator and 6 as the denominator, we simply place 4 above 6, resulting in the fraction 4/6. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which in this case is 2. Therefore, the simplified fraction is 2/3.

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Answer:

This is not a direct variation

Step-by-step explanation:

if 12 dollars for 6 bagels is true then each bagel is $2

if 9 dollars for 24 bagels then each bagel is $0.38

The store bought 90 half gallons of milk.

To find the number of half gallons of milk the store bought, we can set up an equation using the given information.

Let x be the total number of half gallons of milk bought by the store.

The store bought each half gallon of milk for $2.80, so the total cost of x half gallons of milk is 2.80x dollars.

After the refrigerator malfunction, 12 half gallons of milk were ruined. So the remaining milk is x - 12 half gallons.

The remaining milk is sold for $4.00 per half gallon, so the total revenue from selling the remaining milk is 4(x - 12) dollars.

The profit made by the store is given as $60.00, so the equation becomes:

4(x - 12) - 2.80x = 60

Simplifying the equation: 4x - 48 - 2.80x = 60

Combining like terms: 1.20x - 48 = 60

Adding 48 to both sides: 1.20x = 108

Dividing both sides by 1.20: x = 90

Therefore, the store bought 90 half gallons of milk.

Answer:

6. The equation needs to be correct for every pair (x, y) of values from the table. If we want to find the right equation, we simply plug a pair from the table and see if it fits. Let's take the first pair (1, -2) and plug it in the equation a):

-2 = 1+2 ---> obviously not correct

Now let's do the same for equation b):

-2 = 3+3 ---> again incorrect

Equation c):

-2 =1-11 --> incorrect

And equation d):

-2 = 2-4 ---> correct

It's important to know that we could've chosen any pair from the table to check the equation. However, sometimes one pair can fit into more than one equation. In that case, we have to plug in other pairs as well to see which equation is the right one.

7. Scale factor, simply put, shows how many times one value of the figure changed when mapping onto another.  

We are given the triangle ABC. Let's say the side of each of these little squares in 1 unit. That way, we conclude that the length AB is 4 units and BC is 3 units.

Now, let's look at the triangle A'B'C'. Length of the A'B' is 12 units and B'C' is 9 units.

Now to find the scale factor we simply have to find how many times are the sides of the mapped triangle greater then the triangle ABC:

AB/A'B' = BC/B'C' = 3

So, the scale factor is 3.

8. Note that the plumber charges two fees:

- base fee is a constant fee, for all appointments, regardless of the repair needed and hours spent.

- repair fee is a fee paid only if the repair is needed and is dependent on the number of hours spent repairing (more hours greater the fee)

So, in our equation

y = 25x + 30

y represents the total cost and x represents hours.

Now, we can see that this 25x part of equation represents repair fee, because it depends on x (for every hour spent, one pays another $25).

That means that 30 from our equation represents the base fee, the amount everyone will be charged regardless of the need for repair.

9. A relationship is linear if it's graph is a straight line, which means that its rate of change is constant. That means that the change in values of x of the two adjacent points, divided by the change of y is always the same number. That means that:

(x2 - x1)/(y2-y1) = (x3 - x2)/(y3 - y2) = (x4 - x3)/(y4 - y3) etc.

Let's test this.

Our first point is (0, 1) and next one is 1, 2). So, our first change of rate is:

(1-0)/(2-1) = 1/1 = 1

Let's find the rate of change for the next two adjacent pairs:

(x2, y2) = (1, 2)

(x3, y3) = (2, 4)

So, the rate of change is:

(2-1)/(4-2) = 1/2  

It's obvious that the rate of change isn't always the same, which means this relation isn't linear.

Answer:

The length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet.

Step-by-step explanation:

The total area, in square feet, of a rectangular stage that has been widened by x feet, is represented by 1,900 + 76x.

Now, factorizing the expression for the area we get,

A = 1900 + 76x

⇒ A = 76(25 + x)

Therefore, from the above expression, we can assume that the length of the rectangle is 76 feet and the width of the rectangle was 25 feet that is extended by x feet. (Answer)

Rachel needs 1776 inches of board

Solution:

Given that, Rachel is making a planter box

Her box measures 345 inches long and 543 inches wide

Length = 345 inches

Width = 543 inches

To find: Inches of board she needs

So we need to find the perimeter of the board

The board is usually of rectangular shape

Perimeter of rectangle is given as:

Perimeter = 2(length + width)

Perimeter = 2(345 + 543)

Perimeter = 2(888)

Perimeter = 1776

Thus she needs 1776 inches of board

11

Step-by-step explanation:

subtract 4 from 48 which gives you 44

then divide 4 by 44 to leave t alone

that would give you 11

t equals 11

Answer:

-3 or 4

Step-by-step explanation:

If I am wrong I am sorry :[

pls brainlest

Answer: 1190

None of these answer choices are correct I showed my work on paper.

Answer:

it seems that you meant to use fractions. as a K12 student the answer is 9/20. Hope that helps!