After Megan walked 5 miles, her activity tracker had counted 9,780 steps. David's activity tracker had counted 11,928 steps after he walked 6 miles. Suppose each person's step covers about the same distance. Who takes more steps to walk 1 mile? How many more steps?

Answer:

I think its 300

Step-by-step explanation

This is from my understanding, so I may be a bit wrong.

1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.

2. Using this idea we will come up  with the equations of  each triangle that has been formed.

3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.

4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180

5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180

6. Solve for y, which gives us y=30, *simple triangle math you know*

7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)

8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300

Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.

Answer:

The integers that satisfy both inequalities are any number between -4.5 and -12

Step-by-step explanation:

Hope this helps and pls do mark me brainliest if you can:)

The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).

The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.

Exponential functions are functions that are defined as [tex]y = ab^x[/tex]

Where:

Assume that a has positive value, and the b is greater than 1.

Then it means that, the function is an exponential growth function.

An exponential growth function that has a positive initial value will start with a level line, then curve up

Hence, the graph that represents an exponential growth function is (d)

Read more about exponential growth function at:

https://brainly.com/question/13223520

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

Answer:

It would be 12 1/2. (12.5%)

Answer:

Step-by-step explanation:

Grace: -40t+250

Hannah: -54t+306

-40t+250 = -54t+306

SOLVE THE EQUATION ABOVE

t=4

The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.

Given :

The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:

Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.

Step 2 - The linear equation that represents Grace's distance from the stadium is:

[tex]G = 250-40t[/tex]

Step 3 - The linear equation that represents Hannah's distance from the stadium is:

[tex]H = 306 - 54t[/tex]

Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:

[tex]306-54t = 250-40t[/tex]

Step 5 - Simplify the above expression.

[tex]56=14t[/tex]

[tex]\rm t = 4\;hr[/tex]

So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours

Answer:

1/4 books per month.

Step-by-step explanation:

1 book in 4 months means you have to do 1 divided by 4 which equals .25. After converting to a fraction you get 1/4.

Answer:

Maximum number of gift cards she can purchase = 33

Reward points left with her = 48

Step-by-step explanation:

Let Albert's mom buys the number of gift cards = x

Points for each gift card = 75

Total points consumed to buy x gift cards = 75x

If total points with Albert's mom = 2523

So the remaining points with her = (2523 - 75x)

Inequality representing the remaining points will be,

(2523 - 75x) ≥ 0

75x ≤ 2523

x ≤ [tex]\frac{2523}{75}[/tex]

x ≤ 33.64

Maximum number of cards she can buy = 33

Therefore, reward points with her = 2523 - (75 × 33)

                                                         = 2523 - 2475

                                                         = 48

The y-intercept represents "How much Tammy is getting paid for each hour she works".

Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).

If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.

Learn more about y-intercept on: https://brainly.com/question/16009543

#SPJ2

Answer:

Answer is A

Step-by-step explanation:

Answer:

2.096

Step-by-step explanation:

Answer:

2, 3 and 4 represent the graph in the pic

Step-by-step explanation:

When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1

Hence the graph in the picture follows the formula: y = 1/2x - 1

When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.

1. y= 2x-1: Isn't the same as the equation of the line in the pic

2. Rearrange:

-2y = -x + 2        (divide both sides by 2)

y = x/2 - 1          (x/2 = 1/2x, its the same thing)

3. y= 1/2x - 1       (this is the formula of the line)

4. Expand right-hand-side:

y + 3 = 1/2x + 2    (rearrange)

y = 1/2x - 1            (this is the formula of the line)

5. Expand right-hand-side

y - 2 = 1/2x - 1      (rearrange)

y = 1/2x + 1          (is not the formula of the equation)

Answer:

Step-by-step explanation:

“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott

Answer:

y = 15

Step-by-step explanation:

y/3 = 5

Multiply each side by 3

y/3 *3 = 5*3

y = 15

Answer:

C) is your choice

Step-by-step explanation:

Answer:

One solution:  x = 0

Step-by-step explanation:

Starting with 3x+10=2x+10,

subtract 2x from both sides.  We get x + 10 = 10, or x = 0.  This equation has ONE solution, x = 0.

Answer:

D

Step-by-step explanation:

You divide the 450 inches of steel by the 300 springs to get 1.5 or 1 1/2

a trick to have a better idea is that if the number that is being divided is larger than the number you are dividing by, the answer will always be greater than one.

Answer:

(-1,9) (0,3), (1,-3), (2,-9)

Step-by-step explanation:

y intercept is -3

slope is -6, so you would go down by 6 and right by 1.

Answer:

The coordinates to graph this would be (-1,9) (0,3) (1,-3) (2,-9)

Answer:

FG = 18

Step-by-step explanation:

FG + GH =  FH

FG + 31 = 49

Subtract 31 from each side

FG +31-31 = 49-31

FG = 18

Answer: FG is 18

Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18

Answer:

try c, i took the test as well its either that or b

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

Answer:

20 mph

Step-by-step explanation:

To find miles per hour you divide the number of miles by the number of hours

(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph

Answer:

2511.2429

Step-by-step explanation:

You should know this this like yr 7 stuff

29747÷ 5828=5.1041523

5.1041523 × 492= 2511.2429

Answer:

-49/50

Step-by-step explanation:

-39v=4v+7(v+7)

Distribute

-39v = 4v +7v+49

Combine like terms

-39v = 11v+49

Subtract 11 v from each side

-39v-11v = 11v-11v +49

-50v = 49

Divide by -50

-50v/-50 = 49/-50

v = -49/50

Answer:

v= - 49/50

Step-by-step explanation:

-39v=4v+7(v+7)

open the parentheses by multiplying both v&7 by 7:

-39v=4v+7v+49

add like terms:

-39v-4v-7v=49

-50v=49

divide both sides by -50:

v= - 49/50

Answer:

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Step-by-step explanation:

Given

[tex]Time = 1\ hour[/tex]

[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]

[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.

So, we have:

[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]

[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Answer: 30 small bags

Step-by-step explanation:

From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.

When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:

= 6514/214

= 30.43

= 30 small bags

Answer:

23,490

Step-by-step explanation:

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

Answer

9

Step-by-step explanation:

Divide 63 by 9 months

7 students per month

63 / 9 = 7

Given:

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

To find:

The inequality which is true.

Solution:

Consider the number line as shown in the below figure.

We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.

From the number line it is clear that -1.5 is on the left side of 0.5. So,

[tex]-1.5<0.5[/tex]

Hence, option A is incorrect.

-0.5 is on the left side of 0. So,

[tex]-0.5<0[/tex]

Hence, option B is incorrect.

-1.5 is on the left side of -0.5. So,

[tex]-1.5<-0.5[/tex]

Hence, option C is correct.

One half is equal to 0.5.

[tex]\dfrac{1}{2}=0.5[/tex]

Hence, option D is incorrect.

Answer:

C

Step-by-step explanation: