yesterday grace drove 28 1/2 miles she used 1/4 gallons of gasoline.what is the unit rate for miles per gallon

Answer:

>  - greater than

(ive done the test)

hope it helps :)

In order to prove that this quadrilateral is a parallelogram, we need to get the opposite sides to be parallel.

The answer would be D because it shows 2 triangles to be equal. If they are equal then they must have corresponding sides.

1) Reduce the factors=2x+2/2>1/2x+2

2)Reduce the fraction=x+1>1/2x+2

3)Multiply both sides by two=2x+2>x+4

4)Move the terms=2x-x+2>4

5)Subtract all the like terms+x>4-2

6)Your answer is x>2

I can't show you how to graph it but I hope you understand and I hope this helped! :)

150 can't go into 180 equally, so the answer is 1.2

he has 77 cents left

1.95*3=5.85

3.60*2=7.20

2.48*3=7.44

1.89+5.85+7.20+7.44+1.85=24.23

25-24.23=0.77

Dion has $23.15 left after taking into account all of his purchases as well as the tax.

A simple subtraction issue from the subject of mathematics underlies this query. Dion started out with $25.00. We deduct this $1.85 from his initial sum to determine how much money Dion still has if he bought certain products and paid a tax of $1.85 on his purchases. Dion now has $23.15 left after subtracting $1.85 from the $25.00. This is an illustration of how you must deduct purchases and expenses from a total to determine the balance that is left.

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Answer:

After the discount, the customer will pay only 91.4% of the initial price.

Step-by-step explanation:

We have that the price of the current retailer, in dollars, is:

3.50

After the discount, the new price, in dollars, is:

3.20

We want to know what percentage of the original price is the final price.

To find out, we must divide the final price between the initial price and then multiply the result by 100%

So:

[tex]\frac{ 3.20}{3.50}[/tex]*100% = 0.914. * 100% = 91.4%

After the discount, the customer will pay only 91.4% of the initial price.

The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price

It has One solution

the answer should be that it has one solution

Hello,

The correct answer is B) t = 9w

Hope this helps!!!! (:

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I was reading the comments from the other person who answered and I'm guessing both of you don't know what Mean Absolute Deviation (MAD) means.... I'm going to show you an example.......

For example:

2, 2, 4, 4

2 + 2 + 4 + 4 = 12 ÷ 4 = 3

12 ÷ 4 (because there are exactly 4 numbers)

Mean: 3

Mean Definition: The mean is the average of the numbers. To calculate it: add up all the numbers, then divide by how many numbers there are.

Mean Absolute Deviation (MAD):

2, 2, 4, 4          Mean: 3

(2 - 3) + (2 - 3) + (4 - 3) + (4 - 3) = 4 ÷ 4 = 1

Mean Absolute Deviation: 1

4 ( because I subtracted all the numbers and then added it all together) ÷ 4 (because there are exactly 4 number)

I hope your getting it because if you do it on paper it's easier.

Hope these helps!!!! Happy Holidays!!!! (:

196−−−√

25−−√

81−−√

Should be your perfect squares!

Square roots of given perfect squares are 14, 5, 9. Two of given numbers are not perfect squares (75 and 200) and one number is not defined in this context (2).

The square root of a number is a value that when multiplied by itself gives the original number. In other words, √a*b = a if and only if b=a*a. A perfect square is a number that is the square of a whole number. So, the task here is to find the numbers that are perfect squares and then find their square roots.

196 is a perfect square, as 14*14=196, so the square root is 14.

75 is not a perfect square so we do not need to find its square root.

Given '2' is not properly defined in this context, so we can't identify the square root.

25 is a perfect square, as 5*5=25, so the square root is 5.

81 is a perfect square, as 9*9=81, so the square root is 9.

200 is not a perfect square so we do not need to find its square root.

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Answer:

Point Q is equidistant from the endpoints of segment M N by  Definition of equidistant.

Step-by-step explanation:

1. Point Q is on the perpendicular bisector of MN¯¯¯¯¯¯¯. Given

2.MX¯¯¯¯¯¯≅NX------------------------ Definition of bisector

3. ​ ∠QXM ​ and ∠QXN are right angles. Definition of perpendicular

4. ∠QXM≅∠QXN----------------------All right angles are congruent.

5.QX¯¯¯¯¯¯≅QX ----------------------- Reflexive Property of Congruence

6. △QXM≅△QXN -----------------------Congruence PostulateSAS

7.QM¯¯¯¯¯¯≅QN-------------------------------Corresponding parts of congruent triangles are congruent.

8.Point Q is equidistant from the endpoints of MN¯¯¯¯¯¯¯. Definition of equidistant

Answer:

Point Q is equidistant from the endpoints of segment M N by  Definition of equidistant.

Step-by-step explanation:

Statement                                                                          Reason

1. Point Q is on the perpendicular bisector of MN           Given

2.MX≅NX-                                                                           X is mid point of MN

3. ​ ∠QXM ​ and ∠QXN are right angles.                            Perpendicular line

4. ∠QXM≅∠QXN                                                                Both right angles

5.QX≅QX                                                                            Reflexive Property  

6. △QXM≅△QXN                                                                SAS   Congruence

7.QM≅QN                                                                            CPCTE property

8.Point Q is equidistant from the endpoints of MN           . Definition of equidistant

The answer is:  " 23 " .

    →  The fourth number in the sequence is:  " 23 " .

_____________________________________

Explanation:

To solve:

 " x + (x + 1) + (x + 2) + (x + 3)  + (x + 4) = 110 " ;

in which:

 "x" = The first number in these sequence;

 "(x + 1 )" = the second number in the sequence;

 "(x + 2)" = the third number in the sequence;

 "(x + 3)" = the fourth number in the sequence;

 "(x + 4)" = the fifth number in the sequence;

_____________________________________

Solve for the "fourth number in the sequence" ; or:  "(x + 3)" ;

_____________________________________

Given:  " x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 110 " ;

                     ↔   " x + x + 1 + x + 2 + x + 3 + x + 4 = 110 " ;

→  Solve for "x" ;  

→  then,  solve for "(x + 3)" ;  

     →  which is the fourth number in this sequence;

_____________________________________

→  " x + x + 1 + x + 2 + x + 3 + x + 4= 110 " ;

      "5x + 1 + 2 + 3 + 4= 110 " ;

      " 5x + 10 =  110 " ;

Solve for "x" :

     Subtract "10" from EACH SIDE of the equation; as follows:

      " 5x + 10 - 10 =  110 - 10 " ;

 to get :

      "  5x = 100 " ;

Now, divide EACH SIDE of the equation by "5" ;

to isolate "x" on one side of the equation; & to solve for "x" ;  as follows:

         5x / 5  = 100 / 5 ;

to get:

         "  x  = 20 "  .

_____________________________________

Now, to find the fourth number in the sequence:

 →  " (x + 3) " ;

→  Substitute "20" for "x" ;

    " x + 3 = 20 + 3 = 23" ;

_____________________________________

The answer is:  " 23 " .

The fourth number in the sequence is:  " 23 " .

_____________________________________

Let us check our work:

If there are five "5" numbers in the sequence, and "23" is the "fourth number" , then:  "24" is the "fifth number" .

As such:  "22" is the "third number" ;  "21" is the "second number" ; and "20" is the "first number" .  Is this consistent with:  "x = 20" as the "first number" ?  Yes!

Thus,  "20 + 21 + 22 + 23 + 25 = ?  110 ?  ? ;

→  20 + 21 = 41 ;

→  41 + 22 = 63 ;

→  63 + 23 = 86 ;

→  86 + 24 = 110 .    Yes!

_____________________________________

Hope this answer is helpful!

Best wishes in your academic pursuits—

 and within the "Brainly" community!

_____________________________________

Answer:

23

Step-by-step explanation:

Answer:

Quotient : 6x+1

Remainder : -7x+1

Step-by-step explanation:

got it right on assignment

Using the long divison method, Therefore, remainder is calculated and quotient values are ( - 7x - 1) and 6x + 1 respectively.

__________| 6x + 1 - - - - - - - - - - - - Quotient

___________

4x² - 3x + 5 | 24x³ - 14x² + 20x + 6

__________|24x³ -18x² + 30x

-_______________4x² - 10x + 6

-_______________4x² - 3x + 5

___________________-7x - 1 - - - - - - - - Remainder

Therefore, remainder is calculated and quotient values are ( - 7x - 1) and 6x + 1 respectively.

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Isolate the B. Note the equal sign. What you do to one side, you do to the other. Subtract C and A from both sides

B + A (-A) + C (-C) = D (-A) (-C)

B = D - A - C

B = D - A - C is your answer

hope this helps

Hey there!!

Given equation :

A + B + C = D

and solve for B

In order to solve for the B, we will need to take all the other variables to the other side.

... A + B + C = D

Subtracting A on both sides.

... B + C = D - A

Subtracting C on both sides.

... B = D - A - C

Hence, we got the value for B.

Hope my answer helps!!

Answer:

340 liters

Step-by-step explanation:

100% - Adam

105% - Tapiwa

x - Adam

357 l - Tapiwa

We have proportion:

[tex]\dfrac{x}{357}=\dfrac{100}{105}\qquad|\text{cross multiply}\\\\105x=(357)(100)\\\\105x=35700\qquad|\text{divide both sides by 105}\\\\x=340[/tex]

Answer:

340 litres

Step-by-step explanation:

(3, - 2)

given y = - 2, then

- 2x + 4 = - 2 ( solve for x )

subtract 4 from both sides

- 2x = - 6 ( divide both sides by - 2 )

x = [tex]\frac{-6}{-2}[/tex] = 3

The coordinate that completes the solution to the equation is (3, -2)

Given the function y = -2x + 4

We are to find the value of x if y is -2

Substitute y = -2 into the function as shown:

-2 = -2x + 4

Subtract 4 from both sides

-2 - 4 = -2x + 4 - 4

-6 = -2x

x = 6/2

x = 3

Hence the coordinate that completes the solution to the equation is (3, -2)

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The thousandth place is the second to the right of the decimal point.

5 and above round UP; 4 and below rounds DOWN

The answer is : 97.46

Remark

60 minutes = 1 hour

15 minutes = 15/60 = 1/4 of an hour.

Formula

d = r * t

Givens

r = 450 mph

t = 1/4 hour

Solution

d = 450 * 1/4

d = 112.5  <<<< Answer

(2n - 9) - 5(-2.4n + 4) =

The first set of parentheses is unnecessary, so we just drop them.

= 2n - 9 - 5(-2.4n + 4)

Now we distribute -5 by the second set of parentheses. Each term in the parentehses is multiplied by -5.

= 2n - 9 + 12n - 20

Now we combine like terms.

= 2n + 12n - 9 - 20

= 14n - 29

Asheville had about 20 more inches of rain and it rained for about 40 more days than Wichita

subtract both rainfall and days for Wichita from the same quantities in Asheville

47.71 - 28.61 = 19.1 , about 20 inches

124 - 85 = 39, about 40

both quantities rounded to the nearest 10

Asheville had about 20 more inches of rain and it rained for about 40 more days than Wichita

First, you must subtract both rainfall and days for Wichita from the same quantities in Asheville!

47.71 - 28.61 = 19.1 , round about 20 inches

124 - 85 = 39, round about 40

Both quantities are rounded to the nearest 10

Hope I helped!

Good Luck!

Given

Angie and Kenny play online video games

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost $50

total cost is 240

Find out the cost of one month of gameplay.

To proof

let us assume that the cost of one month of game play = x

As given in the question

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost  = $50

Total cost =$240

Than the equation becomes

( 50 + 3x ) + ( 50 + 4x ) = 240

100 + 7x= 240

7x= 140

x = $20

The cost of one month gameplay  is $ 240.

Hence proved

The conjecture that for every integer n, the value of n^2 is positive, is true

The conjecture is given as:

For every integer n, the value of n^2 is positive.

Let n be a positive integer.

Such that:

n = k

This means that:

n^2= k^2 --- positive

Let n be a negative integer.

Such that:

n = -k

This means that:

n^2= (-k)^2

Evaluate

n^2= k^2 --- positive

Hence, the conjecture is true

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Final answer:

The conjecture that for every integer n, the value of [tex]n^2[/tex] is positive is disproven by the counterexample of squaring zero, as 0 squared equals 0, which is not positive.

Explanation:

The conjecture for consideration is: For every integer n, the value of [tex]n^2[/tex] is positive.

To evaluate this conjecture, we need to look at the definition of integer squares. When we square any positive or negative integer, we multiply the number by itself, resulting in a positive product since a negative times a negative equals a positive. However, the conjecture overlooks the integer zero (0). When we square zero, 02, we get zero, which is neither positive nor negative. Thus, while the conjecture holds for all integers except zero, the case where n is zero provides a counterexample and disproves the original claim

To further illustrate this, let's consider a few examples:

Given that 0 is not a positive number, we can conclude that the conjecture does not hold true for every integer since it fails for n=0.

17 Matt's laps - f laps = Ian's laps

For this case we have the following:

Given points: [tex](x1, y1) = (4,8)[/tex] and [tex](x2, y2) = (9,8)\\[/tex]

The formula of the slope is given by:

[tex]m = \frac{(y2-y1)}{(x2-x1)}\\\\m = \frac{(8-8)}{(9-4)}\\\\m = \frac{0}{5}\\\\m = 0\\[/tex]

So, the slope is [tex]m = 0[/tex]and the line is a horizontal line

Answer:

Slope 0, horizontal line

Bob spends 4,145 minutes per week taking care of his cows; this includes petting all 53 cows daily, grooming twice a week, and feeding one cow daily.

To calculate the time Bob spends taking care of his cows each week, we need to consider each activity separately and then add the times together:

Adding these three amounts together gives us a total time spent on care: 3,710 minutes (petting) + 400 minutes (grooming) + 35 minutes (feeding one cow) = 4,145 minutes per week.

Ricardo would swim a farther distance in 1 hour. By taking the number of miles he swam and in the fraction of the hour, you can find the answer.

Divide 5 1/4 by 3 because it took 3/5 of an hour to swim that far. That would lead to 1 3/4 for 1/5 of an hour. Now that we know this, we can multiply 1 3/4 to 5 to get how much he would swim in 1 hour which is 8  3/4

Divide 4 1/2 by 5 because it took 5/9 of an hour to swim that far. That would lead to 9/10 for 1/9 of an hour. Now that we know this, we can multiply 9/10 to 9 to get how much he would swim in 1 hour which is 8 1/10

Since 8 1/10 is less than 8 3/4, Ricardo swam farther

The wholesale price of the home audio system is = $264

The electronics store had marked up the price of the system by = 60%

So, the additional price becomes= [tex]\frac{60}{100}*264[/tex] = $158.40

Total price of the audio system now becomes = 264+158.40 = $422.40

As Lori was paid commission of = 15% on 422.40, so her commission becomes = [tex]\frac{15}{100}*422.40[/tex]

= $63.36

Hence, option D is correct.

Answer:

Lori was paid a 15 percent commission for the home audio system that she sold. The electronics store had marked up the price of the system by 60 percent over the wholesale price of $264. How much did Lori earn for the sale of the home audio system?

Answer is=$63.36

Step-by-step explanation:

I am doing a unit test on it.

If you multiply .768 by 1000, you move the decimal point to the right 3 places, giving you 768, so your answer is correct.

Hope this short response helps! :)

Don't Worry you are correct  It was 1,000 because 768.0 divided by 1000 is .768,  Hope this Helps :D

Answer :-

The answer is '-8'.

Step-by-step explanation :-

Given equation :

... [tex]10p + 5 = \frac{18p-6}{2}[/tex]

Multiplying '2' on both sides :-

... [tex]2(10p + 5 ) = 2 (\frac{18p-6}{2})[/tex]

... [tex]20p + 10 = 18p - 6[/tex]

Subtracting 18p on both sides -

... [tex]2p + 10 = -6[/tex]

Subtracting 10 on both sides :-

... [tex]2p = -16[/tex]

Dividing by 2 on both sides :-

... [tex]p=\frac{-16}{2}[/tex]

... [tex]p = -8[/tex]

Hope my answer helps!!