Jenny live 6 1/4 miles from school. Raymond lives 5 1/2 miles from school. How much farther from school does Jenny live then Raymond? Write an equation and solve it

Answers

Answer 1
6 1/4 - 5 1/2=
6 1/4 - 5 2/4= 3/4
The answer is 3/4.
Answer 2
Final answer:

To find out how much farther Jenny lives from school than Raymond, we subtract Raymond's distance from Jenny's, converting both to improper fractions to subtract easily, resulting in Jenny living 3/4 of a mile farther than Raymond.

Explanation:

The question asks how much farther from school Jenny lives compared to Raymond. Jenny lives 6 1/4 miles from school, and Raymond lives 5 1/2 miles from school. To find out how much farther Jenny lives from the school than Raymond, we can write an equation and solve it.

Let ‘d’ represent the difference in distance between how far Jenny lives from the school and how far Raymond lives from the school. The equation can be written as:

d = 6 1/4 miles - 5 1/2 miles

To solve this, we first convert the mixed numbers to improper fractions. Therefore, 6 1/4 miles becomes 25/4 miles, and 5 1/2 miles becomes 11/2 miles. Our equation now looks like this:

d = 25/4 miles - 11/2 miles

We need a common denominator to subtract these fractions, which is 4 in this case. So we convert 11/2 miles into 22/4 miles. The revised equation is:

d = 25/4 miles - 22/4 miles

When we subtract 22/4 from 25/4, we find d = 3/4 miles. Therefore, Jenny lives 3/4 of a mile farther from school than Raymond.


Related Questions

For the number -5/8 name the opposite, reciprocal and absolute value

opposite:
Reciprocal:
Absolute value:

Answers

opposite-   5/8
reciprocal-   -8/5
absolute value-   5/8

simplify 4 (-w + 8) by distributing.

Answers

4 ( -w + 8)
you multiply 4 and -w, 4 and 8.
so

-4w + 32

Elevator 1 moved up 10 feet from the ground level. Its position is labeled as +10. Elevator 2 moved down 5 feet from the ground level. Its position is labeled as _____. (Use the hyphen for negative such as -1)

Answers

-5. The + or - just tells whether the elevator is above or below ground level.

Expand the log as a sun or difference

Answers

27. (1/2*log(9) -(4*log(x) +1/3*log(3))/log(a)
  = ((1/2)*2*log(3) -4*log(x) -1/3*log(3))/log(a)
  = ((2/3)*log(3) -4*log(x))/log(a)
  = [tex]\frac{2}{3}\log_a{(3)}-4\log_a{(x)}[/tex]
[tex]\bf \textit{logarithm of factors} \\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\\\ \textit{Logarithm of rationals} \\\\ log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y) \\\\\\ \textit{Logarithm of exponentials} \\\\ log_a\left( x^b \right)\implies b\cdot log_a(x)\\\\ -------------------------------[/tex]

[tex]\bf log_a\left( \cfrac{9^{\frac{1}{2}}}{x^43^{\frac{1}{3}}} \right)\implies log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^43^{\frac{1}{3}} \right) \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-\left[ log_a\left( x^4 \right)+log_a\left( 3^{\frac{1}{3}} \right) \right] \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^4 \right)-log_a\left( 3^{\frac{1}{3}} \right)\\\\\\ \cfrac{1}{2}log_a(9)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]

or more expanded so as 

[tex]\bf \cfrac{1}{2}log_a(3^2)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ \cfrac{1}{2}\cdot 2log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]

Giving brainiest+points need explanation on this one my answer is 25 is it right?

Answers

yes, the answer of 25 is correct.

A sandwich shop has 30 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California amd bow many are in Nevada?

Answers

60% of 30 = 0.6 x 30 = 18

There are 18 stores in California.

30 - 18 = 12

Theee are 12 stores in Nevada.

Answer:

18

Step-by-step explanation:

List 3 values that would make this inequality true 4n <_ 12

Answers

Divide both sides by 4 to get

[tex]4n \le 12[/tex]

[tex]\frac{4n}{4} \le \frac{12}{4}[/tex]

[tex]n \le 3[/tex]

So we can pick n to be 3 or it can be less than 3

Three values we can pick are: n = 0, n = 1, n = 2

Or we could pick: n = 1, n = 2, n = 3

geometric mean for 12 and 3

Answers

Geometric mean for 12 and 3 = √12*3 = √36 = 6

answer
Geometric mean for 12 and 3 = 6
hey there! :D

To find the geometric mean, you multiply the numbers and then find the square root. 

12*3= 36

The square root of 36 is 6.

The geometric mean is 6. 

I hope this helps!
~kaikers

during the rice of industrialization in the 1840s the majority of immigrants come from

Answers

Most of the immigrants are from Ireland and German.

Hope this helps!
the answer is ireland and germany

How do you do question number 5? If you do it can you please explain how to do it? Thank you!!

Answers

F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.

F(-3) + H(2) = -15 + -3 = -18.

The solution is -18.






Answer:

F(-3) = 4(-3) - 3 = -12 - 3 = -15.

H(2) = -5(2) + 7 = -10 + 7 = -3.

F(-3) + H(2) = -15 + -3 = -18.

The solution is -18.F(-3) = 4(-3) - 3 = -12 - 3 = -15.

H(2) = -5(2) + 7 = -10 + 7 = -3.

F(-3) + H(2) = -15 + -3 = -18.

Step-by-step explanation:

A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

Answers

The best expression would be 9.50c + 9.50a

Question

A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

Answer:

10.50c + a

PLZ GIVE BRAINLYEST!!!

How much money does the average professional football fan spend on food at a single football game? that question was posed to 10 randomly selected football fans. the sample results provided a sample mean and standard deviation of $14.00 and $2.50, respectively. use this information to construct a 90% confidence interval for the mean?

Answers

Hi!

When the mean ([tex]\bar{x}[/tex]), the number of samples (n) and standard deviation (σ) are known, you can apply the following equation to determine confidence intervals. The value of z at 90% confidence can be found in tables (It is 1,645).

[tex](\bar{x}-z* \frac{\sigma}{ \sqrt{n} },\bar{x}+z* \frac{\sigma}{ \sqrt{n} }) \\ \\ (14-1,645* \frac{2,50}{ \sqrt{10} },14+1,645* \frac{2,50}{ \sqrt{10} } \\ \\ (12,70\$;15,30\$) [/tex]

Have a nice day!

Solve this derivative using the quotient rule

Answers

[tex]\bf y=\cfrac{(-x+5)^5}{3x-4}\implies y=\cfrac{(5-x)^5}{3x-4} \\\\\\ \cfrac{dy}{dx}=\stackrel{quotient~rule}{\cfrac{5(5-x)^4(-1)(3x-4)~~-~~(5-x)^5(3)}{(3x-4)^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-5(5-x)^4(3x-4)-3(5-x)^5}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{\stackrel{common~factor}{-(5-x)^4}[5(3x-4)+3(5-x)]}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-(5-x)^4~~[15x-20+15-3x]}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-(5-x)^4~~[12x-5]}{(3x-4)^2}\implies \cfrac{dy}{dx}=\cfrac{(5-x)^4~~[5+12x]}{(3x-4)^2}[/tex]

What is the slope of the line that goes through (2, 5) and (-6, -2) ?

Answers

Answer:
slope = 7/8

Explanation:
Slope of the line can be calculated using the following equation:
slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)

Substitute with the points in the above equation to get the slope as follows:
slope = [tex] \frac{-2 - 5}{-6 - 2} [/tex] = 7/8

Hope this helps :)

0.5x+78.2=287 whats the value of x

Answers

0.5x+78.2=287
-78.2 -78.2 SUBTRACT 78.2

0.5x=208.8
/.5 /.5 DIVIDE BY .5

x=417.6 ANSWER

Hannah keeps her marbles in bags with for marbles in each bag she writes 3/4 to show the number of red marbles in each bag find another fraction to name the number of red marbles in 2 bags

Answers

She keeps 4 marbles in every bag and mark it with 3/4 to represent red marbles in the bag. It means there are 3 Red marbles out of total 4 marbles in the bag.

It says to write another fraction to represent number of red marbles in two bags.

Since one-bag contains 3 Red marbles out of total 4 marbles in the bag.

Then two-bags would contain 2x3 Red marbles out of total 2x4 marbles in the bag i.e. 6 Red marbles out of total 8 marbles in the bag.

So, [tex] \frac{6}{8} [/tex] is the another fraction to show number of red marbles.

The tangent line has the form y=mx+b . use tl above to find b +juliabox

Answers

Is there a picture?

what id is 29/4 improper

Answers

So, by considering this kind of question, we would want to find out how much does 29 go into 4.

By doing this, we would be able to find the improper fraction.

In the decimal form, this would be 7.25

And in the mixed number, it would look like:

[tex]\boxed{7 \frac{1}{4} }[/tex]

The bottom denominator always stays the same!


this fraction is already in it's improper state
[tex]7 \frac{1}{4} [/tex] is the fraction as a mixed number
7.25 is the fraction as a decimal
725% is the fraction as a percent

hope this helps

Find the points on the surface 4 x^2 + 4 y^2 + 1 z^2 = 1 at which the tangent plane is parallel to the plane -4 x - 4 y + 4 z = -8.

Answers

i dont know i will tell you when i find out

Write equations for the horizontal and vertical lines passing through the point (5, -6)
Horizontal line:
Vertical line:

Answers

check the picture below.

how to we get radius

Answers

Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation

Richard goes to the electronics store. He buys 2 memory cards that cost $8.99 each and 3 packages of batteries that are on sale for $7.47 each. He also buys a case for his cell phone for $2.99 and a wireless headset for $29.99. What is the total cost of Richard’s items, before sales tax?

Answers

2*8.99 +3*7.47 +2.99 +29.99 = 73.37

Richard's items cost $73.37 before sales tax is added.

F = {(-1, 2), (3, 2), (4, 2), (0, 2)} Is F a function and why/why not?

Answers

No, because there is one output 2 for all inputs.

which collection of three side lengths will not form a triangle



6, 10 18
10, 12 ,15
10, 15, 6
10, 18 ,12 please tell me how you figured it out.

Answers

To construct a triangle, the sum of any 2 sides of the triangle should be greater than the third side of the triangle.
lets calculate the sums of all the given choices to find out which three lengths given do not form a triangle.

A.
 6,10,18
6 + 10 = 16 
16 is smaller than the third side-18
Therefore these 3 lengths do not form a triangle

B.10,12,15
10 + 12 = 22                  15+12 = 27                         15 + 10 = 25
22>15 (3rd side)            27>10 (3rd side)                    25>12 (3rd side)
In this triangle, sum of all the possible pairs of sides are greater than the third side therefore these lengths can form a triangle 

C.10,15,6
10 + 15 = 25                      15 + 6 = 21                              10+6 = 16
25 >  6                                 21>10                                      16>15
in this too, sum of all the possible pairs of sides are greater than the third side. These lengths can be used to form a triangle

D.10,18 ,12
10 + 18 = 28                      18 + 12 = 30                             10 +12 = 22
28> 12                                    30>10                                      22> 18
Therefore these lengths can also be used to form a triangle

correct answer is 6,10 and 18 these cannot form a triangle
Final answer:

To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. By applying this theorem to each collection of side lengths given, we can determine which ones will form a triangle.

Explanation:

A triangle is a three-sided figure lying on a plane with three angles adding up to 180 degrees. To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

For the collection 6, 10, 18, the sum of the two smaller sides (6 + 10) is less than the largest side (18), so this collection will not form a triangle.For the collection 10, 12, 15, the sum of the two smaller sides (10 + 12) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 15, 6, the sum of the two smaller sides (6 + 10) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 18, 12, the sum of the two smaller sides (10 + 12) is greater than the largest side (18), so this collection will form a triangle.

A right triangle has one leg that is 17 centimeters shorter then the other. If the hypotenuse is 25 what is the length of the two legs

Answers

Let x represent the shorter leg. Then the Pythagorean theorem tells us
  x^2 +(x +17)^2 = 25^2
  2x^2 +34x +289 = 625
  x^2 +17x -168 = 0
  (x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution

The shorter leg is 7 cm; the longer one is 24 cm.

How to find turning point of (c-2)^3+8

Answers

A "turning point" is generally considered to be a point where the first derivative changes sign. This function does not meet that requirement anywhere.

The function has a point of inflection at (2, 8), where the curve is horizontal, but does not reverse direction.
hello there!

to find the turning point, you must have a function, so let's set this expression equal to y.

y=(c-2)^3+8
y'=3(c-2)^2

Now set y' equal to 0...

3(c-2)^2=0
3(c-2)(c-2)=0
c=2

Now that we know c=2, plug this in to the original equation to get the y-value for the turning point.
The turning point is (2,y) we will find y now...
y=(2-2)^3+8
y=0+8
y=8

The turning point is at (2,8)

The explanation for this is that the x values of the zeros of the derivative function are the same as the x values as the turning points on the original function.

I really hope this helps!
Best wishes :)

Volume is always measured in square units. True False

Answers

Hello,

The answer is option B "false".

Reason:

The answer is false because the volume can be measure in anyway for example: feet, yards.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
Hello there!

This statement would be know to be (false).

Volume is something that is used to help add what is already measured. Volume can be measured in all different aspects, not only using squared units. This would be false because volume has to ability to be measure in any way that it would want to, but it would only have to complete its purpose, to add what the object is.

Your answer: False.

PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Exponential Growth/Decay Function
The value of a car is $21,500. It loses 12% of its value every year.
(a) Write a function that represents the value y (in dollars) of the car after x years. (b) Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)

Answers

Did you get the answer for part b?

solve the system of equations algebraically.

Answers

The answer is D (0,2)

what does x=? I know it is vertical

Answers

the angles are supplementary

7x + x + 20 = 180
8x = 160
x = 20
Hello there!

We know a vertical line = 180 degrees


x + 20 + 7x = 180

we can simplify this

20 + 8x = 180

To solve this, we can work backwards.

180 - 20 = 160

8x = 160

160/8 = 20

x = 20 degrees


Hope I helped!

Let me know if you need anything else!

~ Zoe 
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