Miguel bikes 23km per hour and starts at mile 10. Gabby bikes 28km per hour and starts at mile 0. which system of linear equations represents this situation.

Answers

Answer 1

Answer:

Miguel's distance covered = 10 + 14.29 * t

Gabby's distance covered =  17.40 * t

Step-by-step explanation:

Recall that in order to convert km to miles we do:

1 km = 0.62137 mi. therefore the conversion of speeds from km to miles, so we write the distance covered for each biker in miles, we have:

23 km/h = 14.29 mi/h

and  28 km/h = 17.40 mi/h

For Miguel, the distance (D1 in miles) covered will be represented by:

D1 = 10 + 14.29 * t

where t is t the variable that represents the time in hours, and D1 is the distance covered in miles.

For Gabby the distance D2 equation is given by:

D2 = 0 + 17.40 * t


Related Questions

Find the slope of the line that passes through (5, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope between (5, 13) and (9, 10) is:

[tex]m=-\frac{3}{4}[/tex]

Step-by-step explanation:

Given the points

(5, 13)(9, 10)

Finding the slope between (5, 13) and (9, 10)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{10-13}{9-5}[/tex]

[tex]m=-\frac{3}{4}[/tex]

Therefore, the slope between (5, 13) and (9, 10) is:

[tex]m=-\frac{3}{4}[/tex]

Which list is in order from least to greatest?

A. 2/3, 29%, 1/4 , 0.06

B. 2/3, 1/4, 29%, 0.06

C. 0.06, 1/4, 29%, 2/3

D. 1/4, 2/3, 0.06, 29%

Answers

Answer:

c

Step-by-step explanation:

2/3 converts to 0.66666667, 66.67%

1/4 converts to 0.25 , 25%

0.06 converts to 6%

So the order from least to greatest would be 0.06 , 1/4 , 29% , 2/3

Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?

Answers

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

To learn more about the highest common factor,

https://brainly.com/question/128394

#SPJ2

Alana runs 4 laps around the track in 10 minutes. If Alana runs 17 laps at the same rate how long does it take her​

Answers

Answer:

42 minues 5 seconds to do 17 laps.

Step-by-step explanation:

it takes her 2 minuetes and 50 seconds to do 1 lap if you multiply 2.5x17=

42 munites and 5 secondesto do 17 laps

Answer:

It would take 42.5 min

Step-by-step explanation:

4/10 = 2.5(unit rate for every lap it takes 2.5 min)

17 x 2.5 = 42.5

Halla tres enteros impares consecutivos tales que 3 veces el entero del medio es 5 mas que la suma del primero y el tercero.​

Answers

Responder:

3, 5, 7

Explicación paso a paso:

Sean enteros impares consecutivos:

x, x + 2, x + 4

3 (x + 2) = (x + x + 4) + 5

3x + 6 = (2x + 4 + 5)

3x + 6 = 2x + 9

3x - 2x = 9 - 6

x = 3

Por lo tanto,

x = 3; (x + 2) = 3 +2 = 5; x + 4 = .3 + 4 = 7

(3, 5 y 7)

A number t multiplied by −4 is at least −25.

Answers

Answer:

[tex]t\leq 6.25[/tex] in decimal form

[tex]t\leq \frac{25}{4}[/tex] in fractional form

Step-by-step explanation:

-4 times a number t is greater than or equal to - 25. This is what they mean by at least.

[tex]-4t \geq -25[/tex]

Solve for t.

[tex]t\leq \frac{-25}{-4}[/tex] , we flip the inequality because we are dividing by a negative number.

[tex]t\leq 6.25[/tex]

Find the area. Simplify your answer.
3x-3
3x+6

Answers

Answer:

3x^2 + 7x - 18

Step-by-step explanation:

if three fourth of a number is one-thenths, what is the number please show with steps first person answer u will get branliest!!! ​

Answers

Let x be the number we are searching for.

(3/4)x = 1/10

Find the slope of the line through the given points.
(-9, -7) and (-11, -13)

Answers

the slope is gonna be 3

the equation will be y=3x+20

What is the equation of the line shown in the graph?



Drag and drop the expressions to write the equation of the line in slope-intercept form.

y = Response area + Response area

A function graph of a line with two points (-3,-2) and (-1,2) with an x axis of negative five to five and a y axis of negative five to five

Answers

9514 1404 393

Answer:

  y = 2x + 4

Step-by-step explanation:

You have the graph, so you can read the slope and y-intercept from it. The line goes up 2 units for each unit to the right, so the slope is ...

  slope = rise/run = 2/1 = 2

The y-intercept is where the graph crosses the y-axis, at y=4.

The slope-intercept form of the equation for a line is ...

  y = mx + b

where m is the slope (2) and b is the y-intercept (4). Your equation is ...

  y = 2x +4

Answer: First blank; -x

second; -2

Step-by-step explanation:

if you know the answer to this PLEASE HELPPPP MEEE

Answers

Answer:

-2, -1, 1, 3

Step-by-step explanation:

Range is the amount so that is why it is the answer

The product of z and 19 is represented by which of the following expressions?
A.
19 ÷ z
B.
19z
C.
19 + z
D.
19 – z

Answers

Product means multiplication
z times 19= 19z

Answer: B. 19z

Which of the following correctly shows the re-grouping strategy for solving 57 x 18?
50 x 10; 7 x 10; 10 x 8; 7 x 8
50 x 10; 7 x 10; 50 x 8; 7 x 8
50 x 10; 7 x 50; 50 x 8; 7 x 8
10 x 8; 7 x 10; 50 x 8; 7 x 8

Answers

Answer:

map

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

With the regrouping strategy, we get,

50 x 10; 7 x 10; 50 x 8; 7 x 8

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

57 x 18

This can be written as,

(50 + 7) x (10 + 8)

Simplifying we get,

(50 x 10) + (50 x 8) + (7 x 10) + (7 x 8)

Now,

With the regrouping strategy, we get,

(50 x 10)

(50 x 8)

(7 x 10)

(7 x 8)

Thus,

With the regrouping strategy, we get,

50 x 10; 7 x 10; 50 x 8; 7 x 8

Option B is the correct answer.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Please solve with elimination
5x + 9y =-5
3x -8y = -3
help I will give brainliest
please show work

Answers

Answer:

Step-by-step explanation:

5x+9y=-3             Multiply both sides by 8

40x+72y=-24

-53x-8y=-3  Multiply both sides by 9

-477x -72y= -27

sum the equations vertically to eliminate one variable  

40x+72y= -24

-477x-72y= -27       (the y cancels out )

-477x =-51                (-24 + -27=-51)

-477x=-51 / -477       divide both sides by -477

x =51/437

5x 51/437=9y= -3   substitute the value of x

y= -174 /437

(x,y) = (51/437,  -174/437)

carla, bev, and ashley took their unit 2 math test. carla made an 80 and bev made a 75. what was ashleys score on the test if their average was 78.

Answers

Answer:

Ashley = 79

Step-by-step explanation:

[tex]Average=\frac{Carla+Bev+Ashley}{3}=78\\\\\frac{80+75+Ashley}{3}= 78 \\\\\frac{155+Ashley}{3}=78\\\\\frac{155+Ashley}{3}*\frac{3}{1} =78*3\\\\155+Ashley=234\\[/tex]

Subtract 155 from both sides;

Ashley = 79

PLEASE HELP! I WILL GIVE BRAINLIEST! pleeeaaaasssseee!

Solve by factoring

Answers

Answer:

n = -35/1301

Step-by-step explanation:

1225n+76n=1301n=-35

n = -35/1301

I don’t know how to set it up nor do it please help me

Answers

Answer:

The value of x is 3

Step-by-step explanation:

∵ Quadrilateral ABCD is congruent to quadrilateral JKLM

∴ AB = JK and BC = KL

∴ CD = LM and AD = JM

∵ BC = 8x + 7

∵ KL = 31

∵ BC = KL

→ Equate their right sides

8x + 7 = 31

→ Subtract 7 from both sides

∵ 8x + 7 - 7 = 31 - 7

∴ 8x = 24

→ Divide both sides by 8 to find x

∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]

x = 3

The value of x is 3

Whats the answer help please


Need now thank you

Correct answer

Will give brainliest

Answers

Answer:The slope is 6/7

Step-by-step explanation:

when finding the slope you will need to move the 6x to the other side of the equation by subtracting which gives you 7y=14-6x and all that is left is to divide by 7 which gives y=14-6/7y

Answer:

6x - 7y = 14

⇔ 6x - 14 = 7y

⇔ 6/7.x - 2 = y

=> the slope is 6/7

Step-by-step explanation:

Sam's dad says he will pay a fraction of his mobile phone bill. Would Sam rather his dad paid 1/2 of the bill or the 1/3?

Answers

Answer:

matters

Step-by-step explanation:

if sam doesnt want his dad to spend a lot of money on him then 1/3

but if sam wants to pay less then 1/2

1/2 is more then 1/3

What is the absolute magnitude of a star that has a period of 50 days?

Answers

Answer:

-6.07

Step-by-step explanation:

How many factors of 100 are also multiples of 5?

Answers

Let us write the factors of 100. A factor of 100 can only be a multiple of five if it is divisible by five.

Divisibility rule of 5: A number can only be divisible by five if the ones digit of the number is a five or 0.

Factors of 100 ⇒ numbers divisible by 100 ⇒ 1, 2, 4, 5, 10, 20, 25, 50, 100

When checking each factor of 100;

1 is not a multiple of 5 ⇔ not divisible by 5.2 is not a multiple of 5 ⇔ not divisible by 5.4 is not a multiple of 5 ⇔ not divisible by 5.5 is a multiple of 5 ⇔ divisible by 5.10 is a multiple of 5 ⇔ divisible by 5.20 is a multiple of 5 ⇔ divisible by 5.50 is a multiple of 5 divisible by 5.100 is a multiple of 5 ⇔ divisible by 5.

Five factors are multiples of 5.

Therefore, five factors of 100 are multiples of 5.

Nat’s grocery bill was $150, which included a 5% club discount. What was Nat’s bill before the discount? Write and solve an equation.

Please show work

Answers

The answer is 157.5


A 5% discount is 0.05 then, you have to multiply 150 times 0.05 after, that you get 157.5.

HOPE THIS HELPS!!!!

Nicola is multiplying 1/6 by 3/2. Use the drop down menu to complete the statement

Answers

Answer:

Step-by-step explanation:

1/6 x 3/2 = 1/4

Hope it helps

 

       

     

Answer:

Greater than

Step-by-step explanation:

solve by substitution
y=x+7
2x+y=-5

Answers

Answer:

(-4,3) or X=-4, y=3

Step-by-step explanation:

when solving for the first variable once you have the result then substitute the result into the other equation.

Which problem can be shown using the equation 2 x 8 = 16 2

A rabbit jumps 2 feet. A kangaroo jumps 15 feet The kangaroo jumps 8 times as foros

the rabbit

O A rabbit jumps 2 feet A kangaroo jumps 15 feet The kangaroo jumps & more feet then

the rabbit

6) A rabbit jumps 2 feet A kangaroo jumps 8 feet. The kangaroo jumps 15 times as foros

the rabbit

A rabbit jumps 2 feet. A kangaroo jumps 8 feet. The animalis jump 15 feet in all

Answers

Answer:

C

Step-by-step explanation:

Kam can make 72 cookies in 3 hours, Madison can make 128 cookies in 4 hours. How many hours would it take them to make 200 cookies together?

Answers

Answer:

3.7 hours

Step-by-step explanation:

Answer:

3.7 hours

Step-by-step explanation

Kam      

 x = 72/3 .   =    24 cookies/h

Madison

x = 120 / 4    =    30 cookies/hour

Now we write and equation where "t" will be time

        24t + 30t = 200    

        54t = 200

       t = 200/54

       t = 3.7 hours

which line is parallel to y=8x+11?

Answers

Answer:

Any line with a slope of 8 is parallel to y = 8x + 11.  Some examples are:

y = 8x + 5

y = 8x + 1000

y = 8x +9

It doesn't matter what the y-intercept as long as the slope remains the same for a parallel line.

Answer:

Like the other person said, any line that has the same slope (8) will be parallel.

Step-by-step explanation:

Paul bought 1 1/3 pounds of bananas and apples. If he bought 1 4/5 pounds of apples, how many pounds of bananas did he buy

Answers

Answer:

that doesn't make sense. u cant buy more lbs of apples than apples and bananas combined

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

Hope this helps!! :)

what is one thousandth less than 0.029

Answers

Answer:

0.0009

Step-by-step explanation:

Predict the exam grade for a student who studies 10 hours per week.
hours studied 5 9 3 12 1
exam grade 80 95 75 98 70

Answers

Answer:

100

Step-by-step explanation:

100

Other Questions
9. Original price of a CD: $17,00 Discount: 50% Explain how including lifestyle activities in a personal fitness program can increase the likelihood of its success. Which point is in the graphed solution set of this system of inequalities? {4x3y 5 (0, 6) (2, 2) (2, 1) (2, 0) calculate the velocity of an object moved around a circle with a radius of 1.65m and an acceleration of 3.5 m/s^2 if somebody answered my question i will give them thanks and brill and vote Which behaviors protect you from being infected with the HIV virus? A) practicing resistance, having sexual intercourse, and avoiding contact with the sweat of another personB) practicing abstinence, avoiding drugs, and avoiding contact with the body fluids of another personC) engaging in sexual behavior, using drugs, and avoiding contact with the sweat of another personD) choosing to not have sex, using drugs, and avoiding contact with the mucus of another person 9. Carbohydrates are ______ and starches found in food. Please Help A neighborhood has experienced a steep increase in the amount of waste generated from individual houses. Which solutions will decrease pollution in the neighborhood?Encourage people in the neighborhood to use more disposable products.Burn waste in backyard fire pits.Have neighbors dump their waste into a nearby river.Start a recycling program.Convert waste into reusable products.There is 2 answers A school is raising money for new desks They have collected $400 in donations Item CBMR plcBMR plc knocks down unwanted buildings and prepares the land for construction when a site is being redeveloped for a new use. The company recently started to salvage, recycle and sell building materials that can be used in other construction projects.Many of its demolition jobs take several months to complete and BMR plc can wait for over a year before it is paid. BMR plc receives the money from its sale of salvaged building material within 2 months.Demolition businesses often deal with dangerous and heavy materials that need to be disposed of well away from the building site. The demolition industry has received a lot of criticism in recent years for damaging the environment. Some demolition businesses have even tried to reduce costs by operating in ways that put site workers and the public at risk. BMR plc wants to be known as an ethical business and has set itself the objective of operating in an environmentally friendly way.Extract from BMR plcs statement of financial position (balance sheet):All figures are in millions of pounds (m).Current ratio = Current assets/Current liabilities.The current ratio at the end of 2015 was 1.25.Unit 2 - May 2017BMR plc has said that it wants to be known as an ethical business and one thing it has done is to set an environmental objective. Explain whether you believe that this is a sensible thing for BMR plc to do. Use Item C to support your answer.[9 marks] PLEASE HELPP I DONT GET THISSS Which organelle packages proteins into vesicles? *O A chloroplastsO B nucleusC ribosomesD Golgi apparatus Calculate the mass in grams of carbon dioxide produced from 11.2 g of octane (C8H18) in the reaction above.18 + 25 O2 --> 16 CO2 + 18 H2O89.6 g17.3 g34.5 g46.2 g (7th grade question)If you start with 100 g, how much do you have after 30 minutes? Plz help (extra points) How did the Klondike Gold Rush affect Washington? Gold was found in Tacoma, causing fortune seekers to settle in this city. People set sail for Canada from the port of Seattle, helping Seattle grow. Gold miners were forced to stay in Spokane after they ran out of money. Canadians sailed to the port of Seattle to live once they became wealthy. 4.MATH You plan to start a corporation. You have $67,500 in sav-ings, but need $165,000 total to begin your business. How muchmoney will you need from investors? What will be your percent-age of ownership? If you have four outside investors, how muchwill each investor need to invest? What percentage will eachinvestor own? What is also known as watered carbons A a healthy diet and exercise have an impact on the overall health ofthe body. While your digestive and respiratory systems seem veryseparate in their activities, in reality, the systems work together inseveral ways. Which of these correctly pairs a body system with it'sfunction? All BUT ONE may apply. The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 45 to 90 minutes. What is the probability that the cycle time exceeds 80 minutes if it is known that the cycle time exceeds 50 minutes? (Round your answer to four decimal places.) i need help please !