Julia ran 7000 meters, while carol ran 4 kilometers. who ran farther?

Answers

Answer 1
4 km = 4000 meters
7000 meters = 7 km
therefore julia ran further.

hope this helps you

Related Questions

Which of the following is a factor of 2x4 + 22x3 + 60x2?

2x3

x4

x + 4

x + 5

Answers

I hope this helps you

Answer  

One factor of the equation [tex]2x^{4} + 22x^{3} + 60x^{2}[/tex] is x + 5 .

Option (d) is correct.

Reason

As the equation in the question is as follows

[tex]= 2x^{4} + 22x^{3} + 60x^{2}[/tex]

simplify the above

Taking 2x² as a common part

= 2x²(x² + 11x + 30 )

= 2x² (x² + 5x + 6x + 30)

= 2x²(x(x+5) +6(x + 5))

= 2x²(x + 5)(x + 6)

Therefore the factors are 2x² , (x +5) , (x + 6) .

A student gets paid to sell raffle tickets at the school basketball game. He earns $15 a day, plus an extra $0.25 for each raffle ticket he sells and $2 for each hour he works at the game. If d = days, r = raffle tickets, and h = hours, what function can he use to calculate his earnings?

Answers

answer is C

T = 15d +r/4 +2h

or

 you can write another way

T = 15d + 0.25r + 2h 

Answer: C. [tex]T=15d+\frac{r}{4}+2h[/tex]

Step-by-step explanation:

Let d = days, r = raffle tickets, and h = hours.

Given: A student earns in a day = $15

Then his earning in d days =$15d

Also, he earns for each riffle = $0.25

Then his earning in for r riffles =$0.25r

And , he earns for each hour he works at the game = $2

Then his earning for h hours = $2h

Then the function he can use to calculate his earnings is given by :_

[tex]T=15d+0.25r+2h\\\\\Rightarrow\ T=15d+\frac{1}{4}r+2h[/tex]

Use the function described below to answer questions 1 - 4.

Yvonne invested $4,000 in a savings account which pays 3.5% interest compounded annually. Use the formula A = P(1 + r)t, where P is the principal, r is the interest rate, and t is the time in years.
1. Approximately, how much money will Yvonne have in 4 years? Round to the nearest cent.
2. Approximately, how much money will Yvonne have in 8 years? Round to the nearest cent.
3. Approximately, how many years will it take for Yvonne to double her money? Write the number of years only.

4 Alex buys a top of the line computer. He did not realize that the computer would lose value so fast. If his computer cost $1800.00 and it depreciates at a rate of 45% each year, in how many years will it be worth less than 1/3 of what he paid for it?


Answers

1)4000(1+.035)^4=use the calculator,,2)4000(1+.035)^8=??,,,3)2p=p(1+.035)^t solve for t..

A 13 foot ladder is leaning against a wall. If the point where the ladder meets the wall is 12 feet above the ground, how far from the base of the wall is the the ladder?
A) 1 foot
B) 2 feet
C) 5 feet
D) 22 feet

Answers

The answer is: 

5 feet.

what is the value?
5x+3=4x ?? bit confused

Answers

minus 4x from both sides
x+3=0
minus 3 from both sides
x=-3

whats x?

16x - 4x = -48

If possible, can you show your steps

Answers

16x-4x = -48
12x = -48
12x/12 = -48/12
x = -4

please help me I really need it.

Answers

Answer:

(x, y, z) = (-5, -1, 0) (x, y, z) = (-8, -7, 5)

Step-by-step explanation:

1. A graphing calculator or equation-solving web site can tell you the solution is (-5, -1, 0).

As is sometimes the case with multiple-choice questions, you can choose the "consensus answer".

For x, -5 appears in 3 of 4 answer choices.

For y, -1 appears in 3 of 4 answer choices.

For z, 0 appears in 3 of 4 answer choices.

Thus, the "consensus" is that the answer is (-5, -1, 0). Choosing this one to check can shorten the work of checking the answer choices.

-5 +5(-1) +4(0) = -10 . . . first equation can use this answer2(-5) -(-1) +5(0) = -9 . . . second equation can use this answer2(-5) -10(-1) -5(0) = 0 . . . third equation can use this answer

So, by "guess and check" we have determined the solution to be (-5, -1, 0).

__

2. First of all, you can substitute the given value of z into the other two equations. Then you have ...

2x -y +5 = -4-2x +3y -5 = -10

The first of these equations can be solved for y:

  y = 2x +9

and this can be substituted for y in the second of these equations:

  -2x +3(2x +9) -5 = -10

  4x +22 = -10

  4x = -32

  x = -8

and ...

  y = 2(-8) +9 = -7

So this solution, too, is the "consensus solution," ...

  (x, y, z) = (-8, -7, 5)

$29,000;$4 decrease find the new amount given the original amount and the percent of change.

Answers

$1 - (28,996/29,000) = 0.000138
0.0138%

What is the area of ABC below? If necessary, round your answer to two decimal places.

Answers

Based on the given figure above, in order for us to find the area of the triangle, we need to find the value of the base first. So in finding the base, we are going to use the Pythagorean theorem. a2 + b2 = c2. Substitute the values.
(9.4)^2 + (23.2)^2 = c2
88.36 + 538.24 = c2
626.6 = c2
c= 25.03
Now that we have the base, let us proceed for the Area.
The formula for area would be A = 1/2 (b)(h)
Plug in the values.
A = 1/2(25.03)(7.9)
A= 1/2(197.74)
A= 98.87
Therefore, the area of figure ABC is 98.87.
Hope this answer helps.

The answer I got from apex was- 106.26


How does the graph of g(x) 1/x+4-6 compare to the graph of the parent function f(x) 1/x
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).

Answers

g(x) is shifted 4 units left and 6 units down from f(x).

Answer:

Option 4- Graph of g(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

Given : Graph of  [tex]g(x)=\frac{1}{x+4}-6[/tex]        

To find : How does the graph of g(x) compare to the graph of the parent function [tex]f(x)=\frac{1}{x}[/tex]

Solution :  

The graph f(x) is being translated to form the graph g(x).

In graph [tex]g(x)=\frac{1}{x+4}-6[/tex] there is

Translation of 4 unit left and 6 unit downward.

In graph f(x) if we shift the graph with 4 unit left it form

f(x)→f(x+b) , the function is shifted towards left with b unit.

So, [tex]f(x)=\frac{1}{x+4}[/tex]

In graph f(x) if we shift the graph with 6 unit downward it form

f(x)→f(x)-a , the function is shifted downward with a unit.

So, [tex]f(x)=\frac{1}{x+4}-6[/tex]

Therefore, Option 4 is correct.

Graph of g(x) is shifted 4 units left and 6 units down from f(x).

         

A sequence of transformations maps ∆ABC onto ∆A″B″C″. The type of transformation that maps ∆ABC onto ∆A′B′C′ is a_______

.When ∆A′B′C′ is reflected across the line x = -2 to form ∆A″B″C″, _______vertex
of ∆A″B″C″ will have the same coordinates as B′.

Answers

Answer:The first one is a Reflection

The second one is B

Step-by-step explanation:

In the fall, you go to the local nursery and purchase a package of 10 rose plants. The clerk informs you that on average you can expect 5% of the plants to not live through the winter. Assume that the plants are a random sample.

a) Use the binomial formula to determine the probability that one or more of the plants will not survive the winter.
b) What is the probability that all the plants will survive? Write how the binomial formula is used to calculate the probability.

Answers

Let success be that a plant dies in the winter and failure be that a plant survives the winter, then
 p = 0.05, q = 1 - 0.05 = 0.95

a.) P(1 or more will not survive the winter) = 1 - P(all will survive the winter) = 1 - P(0) = 1 - 10C0 (0.05)^0 (0.95)^10 = 1 - 1(1)(0.5987) = 0.4013

b.) P(all will survive) = P(none will die) = P(0) = 0.5987

A model rocket is launched with an initial upward velocity of201ft/s . The rocket's height h (in feet) after t seconds is given by the following. h=201t -16t^2


Find all values of for which the rocket's height is 93 feet.

Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)



...?

Answers

3926 feet high per seconds

The values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

A model rocket is launched with an initial upward velocity of 201ft/s.

The rocket's height h (in feet) after t seconds is given by the following:

h = 201t -16t²

The above equation is parabolic.

Plug h = 93 feet

93 = 201t - 16t²

16t² - 201t + 93 = 0

After solving with the quadratic formula:

[tex]\rm t_{1,\:2}=\dfrac{201\pm \sqrt{201^2-4\left(16\right)\left(93\right)}}{2\left(16\right)}[/tex]

t = 0.481, 12.081

or

t = 0.48, 12.08 secods

Thus, the values for which the rocket's height is 93 feet are t = 0.48 seconds and 12.08 seconds.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

Explain how you use the bar model to solve 14-7 equal seven

Answers

it will equal 7........

two consecutive odd negative integers have a product of 483, find the integers ...?

Answers

Negative 21 and Negative 23 are the two integers you are looking for. Two negatives make a positive and the are both consecutive odd integers that = 483 when multiplied.
In order to find this you need to assume that they are declared as X and as X + 2. This makes the formula for calculating it x (x+2)=483, and this, based on the formulas for calculation, equals

 x^2+2x-83=0

From this we can see that a negative X is -23, which when +2 is added results in -21.

You drive your car for 3 hours at an average speed at 30 km per hour. how far did you go?

Answers

If you travel 30 km for every hour, then for 3 hours you drive 30 × 3 which is 90 km.

Mark has a baking tray with 24 muffins and the muffin are arranged in 4 equal rows how many are there in each row

Answers

24 muffins in total
4 equal rows

24 / 4 = 6

The answer is: 6 muffins in each row
Hope the answer helps :)
24 / 4 = 6

There are 6 muffins in each row.

Denver is called the mile-high city because it is at an altitude of 1 mile. how many feet is the

Answers

1 Mile is equal to 5,280 feet. Denver is at an altitude of 5,280 feet.

Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet?

Answers

6:28
yellow roses:roses

The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?

Answers

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

[tex]-2x^2+4x=-1[/tex].  Now we factor out the -2:

[tex]-2(x^2-2x)=-1[/tex].  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

[tex]-2(x^2-2x+1)=-1-2[/tex].  Simplifying gives us this:

[tex]-2(x^2-2x+1)=-3[/tex]

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

[tex]-2(x-1)^2+3=y[/tex]

From this form,

[tex]y=-a(x-h)^2+k[/tex]

you can determine the coordinates of the vertex to be (1, 3)

Answer:

(1,3)

Step-by-step explanation:

52.063 divided into 9.2 rounded to the nearest hundredth

Answers

The answer for this question is .18

Answer:

The answer is 5.66

Step-by-step explanation:

52.063 divided by 9.2 is 5.65902173913. Then you round of to the nearest hundredth which is two decimal places to the right (so it's 5). Then you round it off one value higher since 9 is above 5. Therefore the final answer is 5.66

What is 35/10 convert into a decimal?

Answers

The answer to this is 3.5

4x-6=10x-3
?? i am bad at math lol

Answers

remember you can do anything to an equaiton as long as you do it to both sides

4x-6=10x-3
minus 4x both sides
-6=6x-3
add 3 to both sides
-3=6x
divide both sides by 6
-1/2=x
Here you go!! The answer is -1/2 because you simplify. And you are not bad in math..i have faith in you, and i believe you can do it!!

take care.

0.00014s in scientific notation? ...?

Answers

Hi , the answer is 1.4x10*-4s
1.4 x 10^-4 s

Is the value in scientific notation

Heather has $500 in her savings account. she withdraws $20 per week for gas. write an equation heather can use to see how many weeks it will take her to have a balance of $220.

Answers

220 = -20w + 500 <== ur equation
220 - 500 = -20w
- 280 = -20w
-280/-20 = w
14 = w.....it would take 14 weeks

Bill makes four payments a year of $128.25 for life insurance; four payments of $161.82 for real estate taxes; twenty-four payments of $37.46 for health insurance; and six payments of $221.65 for auto insurance. What is the total of his annual fixed expenses for these items?

Answers

128.25 × 4 = 513
162.82 × 4 = 651.28
37.46 × 24 = 899.04
221.65 × 6 = 1329.9
So add them all up.
3393.22

To calculate the total annual fixed expenses, we multiply the number of yearly payments by the amount of each payment for the different insurances and taxes, and then add these products together to find that the annual fixed expenses total $3,388.74.

The student has asked to calculate the total of his annual fixed expenses for life insurance, real estate taxes, health insurance, and auto insurance. To determine this, we will multiply the amount of each payment by the number of times the payment is made annually and then sum these amounts to get the total yearly expense:

Life Insurance: 4 payments of $128.25

Real Estate Taxes: 4 payments of $161.82

Health Insurance: 24 payments of $37.46

Auto Insurance: 6 payments of $221.65

Now, we calculate each:

Life Insurance: 4  imes $128.25 = $513.00

Real Estate Taxes: 4  imes $161.82 = $647.28

Health Insurance: 24  imes $37.46 = $898.56

Auto Insurance: 6  imes $221.65 = $1,329.90

Adding these amounts gives us the total annual fixed expenses:

$513.00 (Life Insurance) + $647.28 (Real Estate Taxes) + $898.56 (Health Insurance) + $1,329.90 (Auto Insurance) = $3,388.74 as the annual fixed expenses.

The price of a pair of shoes is $63.20. The sales tax rate is 4.5 percent. How much sales tax would you pay if you bought these shoes? A.) $2.84 B.) $3.16 C.) $4.50

Answers

A) I believe but you might not want to go with it cause I'm not good at math AT ALL:)
The equation you use to find the answer is...
tax=tax rate(change the % to a decimal)xprice of item
which in this case comes out to be $2.84

if (3x^2)+7=0 then (x-1/3)^2

Answers

[tex]3x^2+7=0 \\x^2=- \frac{7}{3} \\x=\pm \sqrt{-\frac{7}{3} } \\x=\pm i \sqrt{\frac{7}{3} } \\ \\(x- \frac{1}{3} )^2=x^2- \frac{2}{3}x+ \frac{1}{9} =- \frac{7}{3} -\frac{2}{3}(\pm i \sqrt{\frac{7}{3} } )+ \frac{1}{9} = \\=- \frac{21}{9} -\frac{2}{3}(\pm i \sqrt{\frac{7}{3} } )+ \frac{1}{9} \\=- \frac{20}{9} \mp i\frac{2}{3} \sqrt{\frac{7}{3} } [/tex]

Describe the kernel and range of (a) the orthogonal projection on the xz -plane (b) the orthogonal projection on the yz-plane (c) the orthogonal projection on the plane defined by the equation y=x ...?

Answers

b) As our projection is onto yz plane, the basis would be
(0,1,0) and (0,0,1)
while the  Null space would be anything on the x axis.

Write the distribution of 7×6=

Answers

To figure this out you just have to add 7 6 times... if the problem was 2 x 4 than an easy way to do it is 2 + 2 + 2 + 2 = 8.
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