Use the information to answer the question.

The equation y = 30x represents the distance, y, in miles, a domestic cat can run after hours. The table shows the distance, y, in miles, a domestic dog can run after x
hours.
Time(in hours)
0.5
1
2
Distance(in miles)
17.5
35
70
Part A
Based on this information, which statement is true?

1.The cat and dog run the same distance every hour

2.The cat runs more miles per hour than the dog

3.The distances the dog and cat run every hour cannot be compared.

4.The dog runs more miles per hour than the cat
.

Answer:

Janet hiked 18 miles during the past week.

Step-by-step explanation:

Length of hiking trail = 3.6 miles

Number of days she hiked during past week = 5 days

We need to find how many miles has Janet hiked in the past week?

We will multiply length of trail with number of days she hiked that trail

Miles Janet hiked in the past week = 3.6 * 5

                                                           = 18 miles

So, Janet hiked 18 miles during the past week.

Using proportions, it is found that you would expect to see camels, wombats, and kangaroos for the next 57.17 miles.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Each km has 0.621371 miles, hence:

92 km = 92 x 0.621371 = 57.17 miles.

You would expect to see camels, wombats, and kangaroos for the next 57.17 miles.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

It is reflected over the x-axis and rotated 90 degrees.

Answer:

Step-by-step explanation:

Area of the coin:

[tex]A_c = d\pi\\\\A_c = 2.8\pi\approx8.8\ cm^2[/tex]

So area of the ring:

A = 8.8 - 2.0 = 6.0 cm²

Answer:

4.15

Step-by-step explanation:

d = 2.8cm,  a = 1.4cm

a = πr2

a = 3.14 * 1.42

a = 3.14 * 1.96

a = 6.15cm2

6.15 - 2 = 4.15

The area of the nickel ring is 6.15cm2

Answer:

A percent is a constant of proportionality describing the part of the whole

Answer:

speed = 469 miles per hour

speed = 312.6667 miles per hour

Step-by-step explanation:

The speed along wind is 469 mph and against wind is 312.66 mph.

Given:

Boeing 747 travels 938 miles with the wind in two hours.

and, Boeing 747 travels 938 miles against the wind, takes three hours

So, speed along wind

= 938 / 2

= 469 mph

and, speed against wind

= 938 / 3

= 312.66 mph

Learn more about speed- distance formula here:

https://brainly.com/question/25422529

#SPJ2

Answer:

D

Step-by-step explanation:

x -91

Answer:

The answer is B. X /91

Step-by-step explanation:

All the other answers indicate the number is/will end up being bigger than 91

Answer:

A. $0.25 per ounce

B. 4 ounces per dollar

Step-by-step explanation:

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.

A) How much does popcorn cost per ounce? The cost per ounce is dollars.

10 ounces of spicy popcorn = $2.50

1 ounce of spicy popcorn = x

Cross Multiply

10 ounces × x = $2.50

x = $2.50/10 ounces

x = $0.25 per ounce

B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.

$2.50 = 10 ounces of spicy popcorn

$1 = x ounce of spicy popcorn

Cross Multiply

$2.50 × x = 10

x = 10/2.50

x = 4 ounces per dollar

C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is

Answer:

Jenny had 9 incorrect answers.

Step-by-step explanation:

We know that Jenny earned 104 of a possible 140 points on a test.

140 - 104 = 36

We also know that she lost 4 points for every incorrect answer.

36 ÷ 4 = 9

Therefore, Jenny had 9 incorrect answers.

Hope this helps! :D

Answer:

9 questions incorrect

Step-by-step explanation:

Make an Equation

104+x(4)=140

X is for incorrect answers and since each incorrect answer is Worth 4, multiply x by 4. The 104 is the point Jenny orignally got so we put that in the equation to find how many Incorrect she got.

Solve the equation

104+4x=140 Subtract 104 on both sides

4x=36   Divide 4 on both sides

x=9   X=9

Answer: D. Purchase Price = $85,000 & Tax = $2,040

Step-by-step explanation:

From the question, Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500. The constant of proportionality here will be:

= $80500 / $1932

= 41.67

The options that varies directly with the above will be:

A. Purchase Price = $68,000 & Tax = $1,020

Constant of proportionality

= $68000 / $1020 = 66.67

B) Purchase Price = $92,000 & Tax = $2,760

Constant of proportionality:

= $92000 / $2760

= 33.33

C) Purchase Price = $75,000, Tax = $1,350

Constant of proportionality:

= $75000 / $1350

= 55.56

D) Purchase Price = $85,000 & Tax = $2,040

Constant of proportionality:

= 85000 / 2040

= 41.67

Based on the calculation, we can see.that option D has thesame constant of proportionality with the figure calculated.

Answer:c

Step-by-step explanation:

Answer:

The correct answer is no.

Step-by-step explanation:

If a number is a factor of another number, that means that it can be equally divided into it evenly.

I know that 3 x 20 = 60, and 73 - 60 = 13.

Since 3 is not a factor of 13, it is also not a factor of 73.

Hope this helps! :D

Answer:

She will owe the bank $24.62

Answer:

The line to graph is y=-[tex]\frac{2}{3}[/tex] -1

Step-by-step explanation:

In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).

1. Plug info into point-slope form:

y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)

2. Simplify:

y+5=-[tex]\frac{2}{3}[/tex] x+4

3. Simplify even further:

y=-[tex]\frac{2}{3}[/tex] -1

To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.

Answer:

[tex]m=\frac{8}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, -4)

Point (1, 4)

Step 2: Find slope m

Answer:

See the picture attached. The purple line is y=3x+6 and the red line is y=3x+1.

Step-by-step explanation:

When graphing lines, start with the y-intercept and then use the slope to plot points to help you draw the line.

The equations are in y=mx+b form, where mx is the slope and b is the y-intercept. To get the points, plug in a number where x is. Whatever result you get is the y coordinate for that number.

For example, on the graph in the picture 3(1)+1 = 4. Using that, you would plot the point (1,7).

Hope that makes sense!

Answer: 108

Step-by-step explanation: The equation to find the surface area of a square pyramid is s^2+2*s*l.

The area of the square base is equal to s2

The area of one triangle is equal to (s × l)/2

The slant height of a square pyramid equals (l)

Since there are 4 triangles, the area is 4 × (s × l)/2 equals 2 × s × l

Therefore, the surface area, call it SA is Surface Area (SA)=  s2

 +  2 × s × l

so if you plug in the numbers you get 6^2+2*6*6 which equals 108

Answer:

The Answer is 108 feet squared.

Square Surface Area-

A= LxW

A= 6x6

A= 36

Triangle Surface Area-

A= 1/2 bh

A= 1/2 6x6

A = 1/2×36

A= 18

Since there are 4 Triangle multiple 18×4= 72

so... 72+36= 108

BOOM!! LOL

The equation that represents the situation is:

9 + 3x  =  6(x  -  3)

The value of x is x = 9

Let the number be represented by x

Triple the number = 3x

9 added to the number that is produced by tripling the number x = 9 + 3x

3 less than x  = x - 3

6 times the number that is 3 less than x = 6(x - 3)

Therefore, the equation that illustrates the situation is:

9 + 3x  =  6(x  -  3)

Solve for x in the equation above

9 + 3x = 6x  -  18

6x  -  3x  =  9  +  18

3x   =  27

Divide both sides by 3

3x/3  =  27/3

x  =  9

Learn more on linear equations here: https://brainly.com/question/14323743

Answer:

Step-by-step explanation:The population in the trapezoid-shaped region shown is about 7000 people. How many people are there per square mile?

Answer:

I think 22 but not really sure

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

The three positive integers are estimated as (6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).

Positive integers are integers that would be on the right side of 0 on a number line. These integers have a value greater than zero.

Now, as per the given question;

Let the three number be a, b and c.

The range of the number are given as 7.

Then,

(0 < a < 7), (0 < b < 7) and (0 < c < 7)

The mean of the number is defined as 4.

Thus,

(a + b + c)/3 = 4

So, (a + b + c) = 12.

Now, apply the Enumeration method;

Case 1: If a = 6 (a < 0), then (b + c) = 6. This, is possible for the set,

Case 2: If a = 5 (a < 7), then (b + c) = 7. This is possible for the set,

Therefore, the given three positive integers could be;

(6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).

To know more about positive integers, here

https://brainly.com/question/1367050

#SPJ9

Answer:

Component form : (-7 , 2)

Step-by-step explanation:

P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)

4 + x = -3

    x = -3 - 4

    x = -7

5 + y = 7

     y = 7 - 5

     y = 2

Vector form : -7i + 2j

Component form : (-7 , 2)

Step-by-step explanation:

just substitute them in the x and y variables.

if the answer is equal to the answers on the other side of the equation than it correct

Answer:

x=3 , y=-6

Step-by-step explanation:

 x − 2y = 15 is one of the problems. so x in this problem stays as 3, and double of y is -12, so if we take 3 - (-12) or more simply, 3+ 12, which is 15.

2x + 4y = -18  is the other problem. so x is doubled making x equal to 6, and four times y, or -6, is equal to -24 . So bringing the while thing together, 6 + -24, or put more simply, 6-24=-18, making the answer

x=3 , y=6

Answer:

110

Step-by-step explanation:

Bigger then 90 less than 120

Answer: 4a + 16

Step-by-step explanation:

Answer:

1) 5x - 4 ≥ 12

5x ≥ 12 + 4

5x ≥ 16

x ≥ 16/5

2) 12x + 5 ≤ -4

12x ≤ -4 - 5

12x ≤ -9

x ≤ -9/12

Step-by-step explanation:

Answer: A equation that could have "x= -3" as a solution could be "235x - 18 = -723".