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

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:

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:

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

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,

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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

what is one thousandth less than 0.029

Answers

Answer:

0.0009

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

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

Answers

Answer:

-6.07

Step-by-step explanation:

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

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:

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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

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]

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

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)

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:

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:

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!!!!

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

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

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:

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

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]

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

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.

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

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)

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

Answers

Answer:

3x^2 + 7x - 18

Step-by-step explanation:

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