Javier and Ebony track the number of steps they walk. Javier records a walk of 6000 steps in 50 minutes. Ebony describes her step rate with the equation y=118, where y is the number of steps and x is the number of minutes she walks. This week, Javier and Ebony each walk a total of 5 hours. Who walks more steps?

Answers

Answer 1

Answer:

Javier walks more steps than ebony given the same minutes

Step-by-step explanation:

Javier records a walk of 6000 steps in 50 minutes.

Ebony describes her step rate with the equation y=118x

Where,

y = number of steps

x = number of minutes she walks

Javier and Ebony each walk a total of 5 hours. Who walks more steps?

5 hours = 5 × 60 minutes

= 300 minutes

Javier records a walk of 6000 steps in 50 minutes.

6000 : 50 minutes = x : 300 minutes

6000/50 = x / 300

Cross product

6000 * 300 = 50 * x

1,800,000 = 50x

x = 1,800,000 / 50

= 36,000

x = 36,000

Javier walks 36,000 steps

Ebony describes her step rate with the equation y = 118x

x = 300 minutes

y = 118(300)

= 35,400

y = 35,400

Ebony walks 35,400 steps

Therefore,

Javier walks more steps than ebony given the same minutes


Related Questions

Andre is trying to solve the equation 2x plus 6 equals 3x minus 8. The result of Andre’s first step was -x + 6 = -8. What was Andre’s first step?

Answers

Answer:

C. Subtracted 3x from each side.

Step-by-step explanation:

I'm not 100% sure that this is correct but it's the only one that makes sense in my brain. But I'm going to explain anyways.

2x + 6 = 3x - 8 (initial equation)

subtract 3x from 2x and it leaves you with -xsubtract 3x from 3x and it leaves you with 0 which is why there is no number there anymore.

It could also be D. Subtract 6 from each side, which is why I'm confused. Hopefully this helps, sorry if it doesn't. But happy holidays! :))

This is a very important homework ( pls do answer if u know)

Answers

Answ

A., D., B.

Step-by-step explanation:

Simplify: 3 + 2s - 4 + 3s

Answers

Answer:

-1 + 5s

Explanation:

3 - 4 = -1

2s + 3s = 5s

Answer:

5 − 1

Step-by-step explanation:

find the ratio of 5m to 11m in simple ways

Answers

Answer:

5m to 11m simplified to a ratio would be 5:11.

Step-by-step explanation:

To calculate ratios, try to think of them as fractions instead.

When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!

As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].

Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].

Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!

Hence, 5m to 11m simplified to a ratio would be 5:11!

Hope this helped!

What is the area of the rectangle 3cm 3cm

Answers

Answer:

18 square centimeters

Step-by-step explanation:

To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.

Answer:

9 cm

Step-by-step explanation:

Area is length x width

3 cm x 3 cm = 9 cm

But if you are doing the problem from the picture it is

A = 6 cm x 3 cm

= 18 cm

3/4 divided by 1/5


HELPPP

Answers

Answer:

3.75

Step-by-step explanation:

3/80 as a fraction maybe

3 3/4 as a mixed fraction

Write the numerical answer only. Do not include labels, dollar signs, or units.

A plane flew 720 miles in 6 hours. How many miles did the plane fly in 4 hours?

Answers

Answer:

480 miles

Step-by-step explanation: 4 times 120

Use 3.14 for pi
A bicycle tire has a radius of 12 inches. If the tire rotates 20 {times, about how many inches did
it travel? Round to the nearest inch.

Answers

Answer:9342

Step-by-step explanation:

I am smart UwU

Christine needs to make a total of 40 deliveries this week. So far she has completed 14 of them . What percentage of her total deliveries has Christine completed?

Answers

Answer:

Christine has completed 35% of her total deliveries.

Step-by-step explanation:

To find the answer, you can use a rule of three considering that as Christine needs to make a total of 40 deliveries this week, this would represent 100% and with this you can find the percentage that the 14 deliveries completed represent:

40 → 100%

14  →    x

x=(14*100)/40=35%

According to this, the answer is that Christine has completed 35% of her total deliveries.

Hurry I need help help

Answers

Step-by-step explanation:

C. This system is consistent. It has one solution.

particularly in algebra, a linear or nonlinear system of equations is called consistent

The third one I think is the answer I’m 80% sure

. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it
take him to fill the bottle?

Answers

Answer:

1/2 minute

Step-by-step explanation:

We can use a ratio to solve

1/3 bottle     1 bottle

------------   = --------------

1/6 minute    x minutes

Using cross products

1/3x = 1/6 *1

1/3 x = 1/6

Multiply each side by 3

3 * 1/3x = 3 * 1/6

x = 3/6

x = 1/2

1/2 minute

Answer:

30 seconds (1/2 minute)

Step-by-step explanation:

We are given that,

Amount of water filled in 1/6 minute = 1/3

Now, Let the time taken to fill the whole bottle with water be x

Hence,

Through the ratio method we get,

1/3:1/6 : : 1:x

Hence, we need to multiply the extremes and the means together and equalize them.

Hence,

x/3=1/6

x=(1/6)×3

x=(1/2) minute or 30 seconds

(-2/10)^4 power


HELP MEE PLS​

Answers

Answer:

1/625

Step-by-step explanation:

simply

(-1/5)^4

1/625

Answer:

The answer is 1/625

Step-by-step explanation:

hope this helps

Please help I will give brainliest!!

Answers

I am pretty sure it’s the first one


Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 monthly fee and charges an additional
$0.14 for each minute of calls. The second plan has a $22 monthly fee and charges an additional $0.19 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?

Answers

Answer:

The plans will be equal at 160 minutes of call

Step-by-step explanation:

1st plan: y = 0.14x + 30

2nd plan: y = 0.19x + 22

0.14x + 30 = 0.19x + 22

Subtract 0.19x from both sides;

-0.05x + 30 = 22

Subtract 30 from both sides;

-0.05x = -8

Divide both sides by -0.05

x = 160

2x + 28 = 40 and and 2(x + 14) = 40 have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.

Answers

Answer:

yes they are the same

Step-by-step explanation:

2x + 28 =40

you subtract 28 from both sides

2x + 28 - 28 = 40 - 28

2x=12

divide 12 by 2 and get 6

2(6)=12

2(x + 14)= 40

So, 2(x) + 2(14)

2x + 28 = 40

So they're both the same, just with 2 different ways to solve the same equation...Hope this helps!!

The solution for 2x + 28 = 40 is 6.

The solution for 2(x + 14) = 40 is 6.

Yes, they have the same solution.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2x + 28 = 40

Solve for x.

2x = 40 - 28

2x = 12

x = 6

2(x + 14) = 40

Solve for x.

2x + 28 = 40

2x = 40 - 28

2x = 12

x = 6

Thus,

The solution for both equations is the same.

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Rick is buying a $115 tennis racquet from a sporting goods store. If the racquet is on sale for 35% off and sales tax is 8%, how much will he pay in total?

Answers

Answer:

$79.65

Step-by-step explanation:

115-40.25= 73.75


73.75 x 0.08 = 5.90


73.75 + 5.90 = 79.65



     

Rick will pay 80.73 dollar in total.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Rick is buying a $115 tennis racquet from a sporting goods store.

If the racquet is on sale for 35% off and sales tax is 8%,then

First,we need to find 35% of 115.

35% as a decimal is 0.35

0.35 x 115 = 40.25

Now, subtract 40.25 from 115;

115 - 40.25 = 74.75

Now, the sales tax, find 8% of 74.75.

8% as a decimal is 0.08

0.08 x 74.75 = 5.98

Now, subtract add 5.98 to 74.75;

5.98 + 74.75 = 80.73

Therefore, he will pay 80.73 dollar in total.

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Twenty students from Sherman High School were accepted at Wallaby University. Of
those students, eight were offered military scholarships and 12 were not. Mr. Dory
believes Wallaby University may be accepting students with lower SAT scores if they
have a military scholarship. The newly accepted student SAT scores are shown here.
Military scholarship: 850, 925, 980, 1080, 1200, 1220, 1240, 1300
No military scholarship: 820, 850, 980, 1010, 1020, 1080, 1100, 1120, 1120, 1200,
1220, 1330
Part A: Do these data provide convincing evidence of a difference in SAT scores
between students with and without a military scholarship? Carry out an appropriate
test at the a = 0.05 significance level. (5 points)
Part B: Create and interpret a 95% confidence interval for the difference in SAT
scores between students with and without a military scholarship. (5 points) (10
points)

Answers

Answer:

Data provide convincing evidence of a difference in SAT scores  between students with and without a military scholarship is explained below in details.

Step-by-step explanation:

This is a quiz of 2 autonomous groups. The population model differences are not understood. it is a two-tailed examination. Let w be the index for scores of students with army research and o be the index for scores of students without army research.

Therefore, the population means would be μw and μo.

The irregular variable is x w - xo = variation in the sample mean records of students with military accomplishments and students without.

For students with military accomplishments,

n = 8

Mean = (850 + 925 + 980 + 1080 + 1200 + 1220 + 1240 + 1300)/8

Mean = 1099.375

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (850 - 1099.375)^2 + (925 - 1099.375)^2 + (980 - 1099.375)^2 + (1080 - 1099.375)^2 + (1200 - 1099.375)^2 + (1220 - 1099.375)^2 + (1240 - 1099.375)^2 + (1300 -1099.375)^2 = 191921.875

Standard deviation = √(191921.875/8 = 154.89

For students without military scholarship,

n = 12

Mean = (820 + 850 + 980 + 1010 + 1020 + 1080 + 1100 + 1120 + 1120 + 1200 + 1220 + 1330)/12

Mean = 1073.83

Summation(x - mean) = (820 - 1073.83)^2 + (850 - 1073.83)^2 + (980 - 1073.83)^2 + (1010 - 1073.83)^2 + (1020 - 1073.83)^2 + (1080 - 1073.83)^2 + (1100 - 1073.83)^2 + (1120 - 1073.83)^2 + (1120 - 1073.83)^2 + (1200 - 1073.83)^2 + (1220 - 1073.83)^2 + (1330 - 1073.83)^2 = 238199.4268

Standard deviation = √(238199.4268/12 = 140.89

We would set up the hypothesis.

The null hypothesis is

H0 : μw = μo H0 : μw - μo = 0

The alternative hypothesis is

Ha : μw ≠ μo Ha : μw - μo ≠ 0

Since sample standard deviation is recognized, we would analyis the examination statistic by using the t examination. The formula is

(xw - xo)/√(sw²/nw + so²/no)

From the information given,

xw = 1099.375

xo = 1073.83

sw = 154.89

so = 140.89

nw = 8

no = 12

t = (1099.375 - 1073.83)/√(154.89²/8 + 140.89²/12)

t = 0.37

The formula for determining the degree of freedom is

df = [sw²/nw + so²/no]²/(1/nw - 1)(sw²/nw)² + (1/no - 1)(so²/no)²

df = [154.89²/8 + 140.89²/12]²/(1/8 - 1)(154.89²/8)² + (1/12 - 1)(140.89²/12)² = 21650688.37/1533492.15

df = 14

We would get the probability count from the t test calculator. It becomes

p value = 0.72

Since the level of importance of 0.05 < the p value of 0.72, we would not neglect the null hypothesis.

Therefore, these data do not present an acceptable indication of a difference in SAT scores between students with and without a military scholarship.

Part B

The formula for getting the confidence interval for the difference of two population means is expressed as

z = (xw - xo) ± z ×√(sw²/nw + so²/no)

For a 95% confidence interval, the z score is 1.96

xw - xo = 1099.375 - 1073.83 = 25.55

z√(sw²/nw + so²/no) = 1.96 × √(154.89²/8 + 140.89²/12) = 1.96 × √2998.86 + 1654.17)

= 133.7

The confidence interval is

25.55 ± 133.7

what is 5.45 x 3.275?

Answers

I got you! The answer is 17.84875 but I suggest rounding it to the nearest hundredth and saying 17.85! I hope this helps and remember that when multiplying decimals, take out the decimal to multiply normally and count all the place values in the decimal spots, go back from the right to the left and then insert your decimal!

Please give brainliest❤️

Using the elimination method and showing all of your steps. Solve the following System of Equations. Make sure to write your answer as an order pair.



`-3x-4y=2`

`3x+3y=-3`​

Answers

Answer:

ummm......i need more details.

Step-by-step explanation:

-3x - 4y = 2
3x + 3y = -3
The 3x and -3x cancel out so u'll be left with...
-4y = 2
3y = -3 subtract
-------------
-y = -1 or
y = 1

To get x, u have to plug in y to either equation....
3x + 3(1) = -3
3x + 3 = -3 subtract 3 from both sides
3x = -6 divide 3 from both sides
--------------
x = -2


If I did this correctly, your answer should be (-2, 1)

i need help quick!!!!! Ive been trying to figure this out for 20 mins now.

Whats one plus one?
A: 2
B:11
C:0
or D: not this one

Answers

Answer:

take one finger and than the other and how may fingers do you have now 2

Justin is considering two websites for downloading music. The costs are detailed here.

Website 1: a yearly fee of $30 and $1.50 for each download

Website 2: $2 for each download

What is a system of equations to represent the costs for one year?

Express your equations in the form of y=mx+b where x is the number of downloads for the year and y is the total cost for the year.

Enter your equations in the boxes.

Website 1:

Website 2:

Answers

Answer:

website 2 hope this helps

The short sldes of a rectangle are 2 Inches. The long sides of the same rectangle are three less than an unknown
number of Inches.
If the area of the rectangle is 22 square Inches, what is the value of the unknown number?
inches

Answers

Answer:

33

Step-by-step explanation:

The area is 22, and to find area you do l*w

so 22/2=11

so 11*3=33

your unknown number is 33

whats the answer giving brainliest

Answers

Answer:

A

Step-by-step explanation:

Answer:

c x-110

Step-by-step explanation:

if im wrong im so sorry

50 points pls help quick

The map shows the migration of the ancient Hebrews prior to the Exodus.

A map titled Hebrew Migration. A key shows Location where Hebrews settled with a star and Path of Hebrew migration with a purple line. Stars are located near Canaan and the Nile Delta. A purple line begins at Ur, follows the Euphrates River northwest, and then moves south through Canaan into Egypt.

Which statement about the migration of the ancient Hebrew people does the map best support?

The ancient Hebrew people left Ur and went directly to Egypt.
The ancient Hebrew people settled along the Euphrates River.
The ancient Hebrew people migrated from Ur to Canaan and then to Egypt.
The ancient Hebrew people migrated from the Persian Gulf to the Red Sea.

Answers

Answer:

The ancient Hebrew people migrated from Ur to Cannan and then to Egypt

Answer:

The ancient here's people migrated from Ur to Canaan and then to Egypt.

Step-by-step explanation:

The stars show where they were migrating witch started from Ur and left.Then went to Canaan where the star is located;and finally Egypt which is where the final star is at.

One third of a number T is equal to 12???

Answers

Answer:

1/3×t=12

t=3×12

t=36

Step-by-step explanation:

need thanks for the answer.

What is the height of the flagpole?

A. 18ft
B. 676ft
C. 324ft
D. 24ft​

Answers

Answer:

C

Step-by-step explanation:

The height of flagpole is 24ft.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

Given;

Hypotenuse=26ft

Base=10ft

Now,

Hypotenuse^2=base^2+Height^2

26^2=10^2+h^2

676=100+h^2

576=h^2

h=24

Therefore, by Pythagoras theorem the height will be 24ft.

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Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before. How many rabbits were there after x years?

Answers

Answer: 6 × 4^x

Step-by-step explanation:

From the question, we are told that scientists released 6 rabbits into a new habitat in year 0 and that each year, there were four times as many rabbits as the year before.

The number of rabbits there after x years will be:

= 6 × 4^x

For example, let us say we want to calculate the number of rabbits after 2 years.

= 6 × 4^x

= 6 × 4²

= 6 × 16

= 96 rabbits

The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.

Answers

Answer:

< CDA = 140 degrees

Step-by-step explanation:

For a rhombus, the sum of the interior angles is 360 degrees and also the opposite angles are equal i.e <ABC = <CDA and <BAD = <BCD

Given

<CAD = 20 degrees

<BCE = 20 degrees (based on geometry)

<BAD = <CAD + <BCE

<BAD = 20 + 20

<BAD = 40 degrees

Since  <BAD =  <BCD, then  <BCD = 40 degrees

Get <CDA

<CDA + <ABC + <BAD +   <BCD  = 360

<CDA + <CDA + <BAD +   <BCD  = 360

2 < CDA + 40 + 40 = 360

2< CDA + 80 = 360

2< CDA = 360-80

2< CDA = 280

< CDA = 280/2

< CDA = 140 degrees

Marin spends 28% of her monthly income for a Loan payment. her loan payment is rupees 1,736. What is her monthly income?

Answers

Answer:

6200 rupees

Step-by-step explanation:

Think the monthly income x

According to the question

The equation is

x×28%=1736

x×28/100=1736

x=1736÷28/100

x=1736×100/28

x=62×100

x=6200

So monthly income is 6200 rupees

Answer:

[tex]6200\ Rupees[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Percent\ of\ salary\ Marin\ spends\ for\ her\ loans=28 \% \\Amount\ of\ total\ payment\ on\ the\ loans= 1736\ rupees\\Hence,\\Let\ her\ monthly\ income\ be\ x\\Hence,\\The\ question\ also\ tells\ us\ that:\\28 \%\ of\ Marin's\ Monthly\ Income= Loan\ Payment\\Or,\\28 \%\ of\ x=1736\\Hence\ as\ 28 \%\ can\ also\ be\ represented\ as: \frac{28}{100},\\\frac{28}{100}*x=1736\\Hence\ by\ multiplying\ the\ LHS\ and\ RHS\ with\ \frac{100}{28},\\[/tex]

[tex]\frac{28}{100}*\frac{100}{28}*x=1736*\frac{100}{28}\\Hence,\\x=62*100\\x=6200\\[/tex]

Write and solve an equation to find x and also find the measure of angle EHF.

Answers

I hope this is helpful
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