If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find the distance between the towns in kilometers

Answers

Answer 1
It's 45mi:72 km

You set up a proportion 

10mi/16km = 45mi/x

multiply 16 and 45

so you are left with 720 = 10x

x = 72

Related Questions


During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they sold 39 pairs in March. Find the percent of increase in sales.

35%

30%

23%

18%

Answers

percent increase = (new number - original number) / (original number) * 100
                           = (39 - 30) / 30......* 100
                           = 9/30 * 100
                           = 0.3 * 100
                           = 30% increase <===

Find the x-intercept of parabola with the vertex (-7,45) and y-intercept (0,-200). Write your answer in this form (x, y) , (x, y)

Answers

the equation of the parabola would be 

y = a(x + 7)^2  + 45   where a is some conatant

when x = 0   y = -200 so:-

-200 = a*7^2 + 45

a  = -200 - 45  / 49  =  -5 

so the equation of the parabola is y = -5 (x + 7)^2 + 45

Solving for x intercepts:-

(x+7)^2  =  -45/-5 = 9

x + 7 = +/- 3

x  = -10 ,  -4

x intercepts at (-10,0) and (-4,0) Answer

Answer:

(-10,0),(-4,0) for Plato/Edmentum Users

Step-by-step explanation:

Have a great day

Suppose you buy two sweaters. each sweater costs the same amount. the amount of money you spend varies directly with the number of sweaters you buy. if you spent $37.50 for two sweaters, what is the constant of variation?

Answers

the constant of the variation is the price of the sweater. In this case, it will be $37.50÷2 = $18.75.
Thus, the constant of variation is 18.75

Answer with Step-by-step explanation:

We spent $37.50 for two sweaters.

Each sweater costs the same amount.

Cost of each sweater=$37.50/2

                                  =$18.75

The amount of money you spend varies directly with the number of sweaters you buy.

We have to find the constant of variation.

Here, cost of each sweater is the constant of variation.

Hence, constant of variation is:

$18.75

The grades received on a test by twenty students were 100, 55, 75, 80, 65, 65, 95, 90, 80, 45, 40, 50, 85, 85, 85, 80, 80, 70, 65, and 60. What is the average of these grades?
A.) 70.5
B.) 72.5
C.) 77
D.) 80.3
E.) 100

Answers

To find the average of a set of numbers you add them all together. Then divide by the amount of numbers
B.72.5 , because if you add all those numbers and divide it by how many number there are(there's 20 numbers) you'll get 72.5

What two things hindered the growth of Spanish colonies??

Answers

There were two main things which negatively impacted the growth of Spanish colonies. The first issue involved the Spanish settlers experiencing difficult relations with the Indians who lived there first. The second problem centered on miner's inability to find either gold or silver deposits that would lure other people to settle there.

Final answer:

The growth of Spanish colonies was hindered by the vast distance between the colonies and Spain, restrictive economic policies, environmental depletion, exploitation of resources, and conflict. The decline in indigenous populations and internal governmental strife also played significant roles.

Explanation:

Factors Hindering the Growth of Spanish Colonies

The growth of the Spanish colonies was hindered by several factors after the initial period of discovery and conquest. First, the distance and the expanse of the Atlantic Ocean created significant challenges for effective communication and administration between the colonies and Spain. Second, the rigid economic policies imposed by the Spanish Crown, which restricted colonial trade to raw materials to Spain and finished goods from Spain, limited economic diversification and local development.

Additionally, environmental depletion and exploitation of resources, alongside harsh treatment and violence against Indigenous populations, led to a decrease in the native labor force. As a substitute, the Spanish were compelled to import African slaves, which transitioned the labor system but did not solve the inherent problems of the colonial economy.

The desire for precious metals, such as silver and gold, and the competition for conversion to Catholicism often came at a substantial human cost, leading to significant loss of indigenous life due to disease and conflicts. Revolts and uprisings, such as the Pueblo Revolt, as well as internal government conflicts and higher tax burdens on the Criollos were also among the contributing factors that hindered the growth and stability of Spanish colonies.

Can someone please help me? ill give brainliest for correct answer!

The graph below shows the number of spoons arranged on different numbers of tables in a room:

What does the point (1, 10) on the graph represent?

The ratio of spoons to tables is 11:1.
There are 10 spoons for every 1 table.
The ratio of tables to spoons is 11:1.
There are 10 tables for every 1 spoon.

Answers

There are 10 spoons for every 1 table


hope this helps

because it is 1:10, 2:20, etc

so it is 10 for each
(1,10)...represents: there are 10 spoons for every 1 table

What is the measure of an exterior angle of a regular 7-sided polygon?

Enter your answer as a decimal in the box.

Round to the nearest tenth of a degree.

Answers

The sum of internal angles in an n-sided polygon is 180(n-2).

In a regular 7-sided polygon, the sum of the internal angles is
180*(7 - 2) = 900°
Each internal angle is  900/7 = 128.57°.

Because the sum of angles on one side of a straight line is 180°. therefore
each exterior angle is 180 - 128.57 = 51.43°

Answer: 51.4°  (nearest tenth)

Answer: [tex]51.4^{\circ}[/tex]

Step-by-step explanation:

We know that the sum of all the exterior angles of a regular polygon with n sides is [tex]360^{\circ}[/tex].

The measure of an exterior angle of a regular n-sided polygon is given by :-

[tex]\dfrac{360^{\circ}}{n}[/tex]

Now, the measure of an exterior angle of a regular 7-sided polygon is given  by :-

[tex]\dfrac{360^{\circ}}{7}=51.4285714286^{\circ}\approx51.4^{\circ}[/tex]

Hence, the  measure of an exterior angle of a regular 7-sided polygon =[tex]51.4^{\circ}[/tex]

What is the equation of the exponential graph shown?

Please help :'(

Answers

The equation of the exponential graph is y = 100(0.5)^x

How to determine the exponential equation?

On the graph, we have the following points

(x,y) = (0,100) and (1,50)

An exponential equation is represented as:

y = ab^x

Where a = y, when x = 0.

This means that

a = 100

So, we have:

y = 100b^x

At the point (1,50), we have:

50 = 100b^1

Evaluate

50 = 100b

Divide both sides by 100

b = 0.5

Substitute b = 0.5 in y = 100b^x

y = 100(0.5)^x

Hence, the equation of the exponential graph is y = 100(0.5)^x

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Find length of MN such that LN = 5.7 and LM = 1.3 MN= x + 2.1

Answers

Final answer:

To find the length of MN, we can set up an equation using the fact that LN + LM = MN and substitute the given values. Solving for x, the length of MN is found to be 4.9 units.

Explanation:

To find the length of MN, we can use the fact that LN = 5.7 and LM = 1.3. We are also given that MN = x + 2.1. Since LN and LM are known, we can set up an equation using the fact that LN + LM = MN.

LN + LM = MN

5.7 + 1.3 = MN

Then, we can substitute the given value of MN = x + 2.1 into the equation and solve for x.

5.7 + 1.3 = x + 2.1

7 = x + 2.1

x = 7 - 2.1

x = 4.9

Therefore, the length of MN is 4.9 units.

Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15. His checkbook shows a balance of $87.37 as of March 20. The bank returned all the cancelled checks but two. One check was for $5.00 and the other was for $13.25. How much did Carlos deposit in his account between March 15 and March 20? A. $125.87 B. $162.37 C. $11.22 D. $48.87

Answers

Choice D is your answer.

Hope this helps :)

Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?

Answers

X2 (X-9)+5 (X-9)
(X2+5)(X-9)


(9,0) (0,-45)

What is the converse of the linear pairs theorem

Answers

The converse of a logicalstatement is a s tatement formed by reversing the parts of the statement.

For example, the logical statement "A implies B" has a converse of "B implies A"

The linear pairs theorem states that "if two angles form a linear pair, then they are supplementary".

The converse of the linear pairs theorem is therefore, "if two angles are suplementary, then they form a linear pair".

The sum of three consecutive even integers is fifty four. what is the second integer?

Answers

16+18+20=54 The answer is 18.

You ask a neighbor to water a sickly plant while you are on vacation. without water the plant will die with probability 0.8. with water it will die with probability 0.5. you are 80 % certain the neighbor will remember to water the plant. you come back from the vacation and the plant is dead. what is the probability that the plant died because neighbor forgot to water it?

Answers

the correct answer should be 20% because u were 80% certain he would remember so that means ur 20% certain he would forget

Find equation where line passes through (7,8) and perpendicular to line y=8

Answers

Since in y=8, the slope is 0 (because there is no x) and b is 8 in y=mx+b, we know that the perpendicular line is x=(something) because the perpendicular lines of y=<number> are x=<number> due to that y=<number> equations are strictly horizontal while x=<number> equations are strictly vertical. Since we know that x=<number> has to pass through (7, 8), x =7

Does 3.2 - 4d=2.3d+3 no solution or identity

Answers

d=0.04286 is the answer

The solution of expression is,

⇒ d = 5/16

We have to given that,

An expression is,

⇒ 3.2 - 4d = 2.3d + 3

Now, We can simplify the expression for solution as,

⇒ 3.2 - 4d = 2.3d + 3

Add 4d both side,

⇒ 3.2 - 4d + 4d = 2.3d + 3 + 4d

⇒ 3.2 = 6.3d + 3

Subtract 3 both side,

⇒ 3.2 - 3 = 6.3d

⇒ 0.2 = 6.3d

⇒ 6.3d = 0.2

Divide 6.3 both side,

⇒ d = 0.2/6.4

⇒ d = 20/64

⇒ d = 5/16

Thus, The solution of the expression is, d = 5/16

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Please help me Factor -4d3 + 28d2 - 4d

Answers

Answer:

The factored form of the expression [tex]\( -4d^3 + 28d^2 - 4d \)[/tex] is [tex]\( -4d(d - 1)(d - 1)(6d - 1) \).[/tex]

Explanation:

To factor the expression [tex]\( -4d^3 + 28d^2 - 4d \)[/tex], we can first look for the greatest common factor (GCF) among the terms. In this case, the GCF is [tex]\( -4d \).[/tex]

So, we can factor out [tex]\( -4d \)[/tex] from each term:

[tex]\[ -4d(d^2 - 7d + 1) \][/tex]

Now, let's focus on factoring the quadratic expression inside the parentheses, [tex]\( d^2 - 7d + 1 \)[/tex]. To factor this quadratic expression, we need to find two numbers that multiply to give the constant term (1) and add to give the coefficient of the linear term (-7d). Since the constant term is 1, the only possible combination is 1 and 1.

So, we can rewrite the expression as:

[tex]\[ -4d(d^2 - 7d + 1) = -4d(d^2 - d - 6d + 1) \][/tex]

Now, we can group the terms and factor by grouping:

[tex]\[ -4d((d^2 - d) + (-6d + 1)) \][/tex]

[tex]\[ -4d(d(d - 1) - 1(6d - 1)) \][/tex]

Now, we can factor further:

[tex]\[ -4d(d - 1)(d - 1)(6d - 1) \][/tex]

The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 150 square centimeters when its height is 20 centimeters and its base length is 15 centimeters. What is the area of a triangle having a height of 30 centimeters and a base length of 18 centimeters?

Answers

The area of the triangle is 270 centimeters. The way that I found that out is the equation 30x18/2
Final answer:

The area of the triangle is 270 square centimeters.

Explanation:

To find the area of a triangle, we can use the formula A = (1/2)bh, where A represents the area, b represents the base length, and h represents the height. In this case, we are given the area of one triangle (150 square centimeters) when its height is 20 centimeters and its base length is 15 centimeters. Plugging these values into the formula, we get:

A = (1/2)(15)(20) = 150

Now, we can use this equation to find the area of another triangle with a height of 30 centimeters and a base length of 18 centimeters:

A = (1/2)(18)(30) = 270 square centimeters

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-2(5+6m)+16= -90 and then :(?

Answers

Distribute on the left
-10-12m+16=-90

Combine like terms
-12m+6=-90

Subtract 6 from both sides
-12m=-96

Divide both sides by -12
m=8

Final answer: m=8

What is the period of the function y=-4sin (2/3x-pi?3)?

Answers

2/3 x = 2 pi
x = 2pi × 3/2 = 3pi

period = 3pi

What is a factored form of the following expression?

5x squared - 20x

A. 5(x squared - 4)
B. 5(x - 2) squared
C. 5x (x-4)
D. (5x-4)(x+5)

Answers

C: 5x (x-4)
If you were to distribute the 5x to everything in parentheses, you would get 5x squared (5x × 5) and -20x (5x × -4)

Here is the other question, the last one for this weeks homework, help will be very much appreciated!

Answers

Greetings!

The Expression:
[tex]=(3x+5x^3-2x^2+13)+(11-2x^3+5x)[/tex]
Collect Like Terms.
[tex]=5x^3-2x^3-2x^2+3x+5x+13+11[/tex]
Combine Like Terms.
[tex]=3x^3-2x^2+8x+24[/tex]

Answer B) would be the correct answer.

Hope this helps.
-Benjamin

Answer:

B

Step-by-step explanation:

3x+5x= 8x

5x^3 - 2x^3= 3x^3

-2x^2= -2x^2

13+11=24

A taxi charges $2.50 for the first mile and $0.40 for each mile after that. The expression below shows how to find the total cost, in dollars, of a 20-mile taxi ride. 2.50 + 0.40 (20 - 1) What is the cost of the ride?

Answers

Answer:

Step-by-step explanation:

Alright , lets get started.

The first mile charge = [tex]$2.5[/tex]

Total miles taxi covered = [tex]20[/tex]

Subtracting first mile frm the total ride = [tex](20-1)[/tex]

Means the fare will apply on this mile.

So, cost of total ride = [tex]2.5 + 0.4 (20-1)[/tex]

cost of total ride = [tex]2.5+0.4*19[/tex]

cost of total ride = [tex]2.5+7.6[/tex]

cost of total ride = [tex]10.1[/tex]

The answer is $ 10.1 .   :    Answer

Hope it will help :)

Answer:

10.10 (B)

Step-by-step explanation:

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which choice below represents the correct domain for an exponential growth or decay function?

a. {x | x > 0}
b. {y | y > 0}
c. x= 0
d. {x | x E R}

Answers

D. {x | x E R} because its all real numbers

A squirrel runs 3.4 meters east and then 6.9 meters south, then another 5.2 meters east what is the distance the squirrel traveled?

Answers

14.15 Just add all of the miles the squirrel ran.
Distance is simply the total amount traveled. 3.4+6.9+5.2=15.5 meters traveled. Displacement would be the distance traveled from the original point, which would be completely different!

Please help ASAP : ))))

Trevor went to fill his car up with gas. It costs $2.95 per gallon of gas. Trevor also bought a car wash for $11.25. Trevor's total bill at the gas station was $52.55.

A) Write an equation that represents this situation.

B) How many gallons of gas did Trevor purchase at the gas station?

Answers

B. 18 gallons is the answer
$52.55 - $11.25 = $41.30
 
Trevor spent $41.30 dollars on gas and he bought 14 gallons

Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes. How many of each coin does he have?

Answers

he has 22 quarters and 15 dimes
hope it helps

0.10d +0.25q = 7.00

 multiply everything by 100 to get rid of decimals

q = d+7 ( 7 more quarters than dimes)


10d +25(d+7) = 700

10d + 25d +175 = 700

35d +175 = 700

 subtract 175 from each side

35d =525

d = 525 / 35 = 15

 

15 dimes

 quarters = 15 +7 = 22




Which mathematical property is demonstrated?

40 * (25 * 74) = (40 * 25) * 74



Question 3 options:

associative property of addition


commutative property of multiplication


commutative property of addition


associative property of multiplication

Answers

[tex]40 * (25 * 74) = (40 * 25) * 74 40 * (1850) = (1000) * 74 40 * (1850) = (1000) * 74 74,000 = 74,000[/tex]

Knowing this, we can easily conclude that this is demonstrating the associative property of multiplication. The associative property of multiplication states that the product is the same regardless of their grouping. In this case, after simplifying the expression given, we can see that indeed the products are the same hence that fact that they have different grouping. 

Answer:

Step-by-step explanation:

The associative property of multiplication states that the product is the same regardless of their grouping. In this case, after simplifying the expression given, we can see that indeed the products are the same hence that fact that they have different grouping

What is the factored form of 6n4 – 24n3 + 18n?

Answers

6n^4-24n^3+18n
6n(n^3-4n^2+3)
6n(n-1)(n^2-3n-3)

Answer:

Step-by-step explanation:

Notice to facts:

The numbers 6, -4 and 18 have a common factor: 6.In all the terms (n⁴, n³, n) are a factor n.

The expression has a common factor 6n. Then,

6n⁴-24n³+18n = 6n(n³-4n²+3).

In order to factor the term n³-4n²+3 we use Ruffini-Horner rule, which gives us that

n³-4n²+3 = (n-1)(n²-3n-3).

Then,

6n⁴-24n³+18n = 6n(n³-4n²+3) = 6n(n-1)(n²-3n-3).

If you don't know the formula for the general solution of second degree equation, you are done. Otherwise, it is only to use it in the quadratic factor.

What's the answer ????

Answers

-3^2 -3(2)^3+-3^2+2(2)^3--3^2 = -17
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