A map of Australia has a scale of 1cm : 110 km. If the distance between Darwin and Alice springs is 1444 kilometers, how far apart are they on the map, to the nearest tenth of a centimeter

Answers

Answer 1
you divide 1444 kilometers by 110 kilometers to get x cm.

1444/110 = 13.127

x = 13.127 cm

hope this helps

Related Questions

Stumped on how to solve this one! The numbers just aren't making sense to me

Answers

30=3/5

so 10 miles = 1/5 on the map

there re 5/5 per inch, so 4 inches = 4*5 = 20/5

20*10 = 200

 so they are 200 miles apart


What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
a. 1 and 3
b. 0 and 2
c. 0
d. 3
HURRY IM BEING TIMED!!

Answers

-x^2+2x+3=x^2-2x+3  add x^2 to both sides

2x+3=2x^2-2x+3  subtract 2x from both sides

3=2x^2-4x+3  subtract 3 from both sides

2x^2-4x=0  factor

2x(x-2)=0

So x=0 and 2

Answer:

Step-by-step explanation:

Given:  –x² + 2x + 3 = x² – 2x + 3 .

To find: What are the solution(s) .

Solution: we have given that

–x² + 2x + 3 = x² – 2x + 3 .

 On subtracting both side by x² .

-2x² + 2x + 3 =  x² - x² - 2x + 3

-2x² + 2x + 3 = -2x +3

On Addition both side by 2x .

-2x² + 2x + 2x + 3  =-2x  +2x +3

-2x² + 4x  + 3  = 3

On subtracting both side by -3  .

-2x² + 4x  + 3  -3 = 3  - 3

-2x² + 4x   = 0

Taking common  2x .

2x (- x +2 ) =0 .

On grouping  .

2x= 0

so x= 0

Now , -x +2 =0 .

-x = -2 .

On dividing by -1

x= 2

Therefore , option B is 0 and 2 .

Of the 8760 hours in a​ year, one television was on for
1752 hours. What percent is​ this?

Answers

The percentage is 20%. 8760/1752=5 100/5=20.

Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit rates?

Answers

The rate of earning money for both activities will be calculated by dividing the amount earned by the total time spent for each of the activity.

 Babysitting:         rate = ($30 / 5 hours ) = $6 / hour

 Doing chores:      rate = ($28 / 4 hours) = $7 / hour 

Thus, Holly is able to earn money faster when doing the chores compared to when she do the babysitting if she work for the same amount of time for each. 

Answer:

The unit rate for doing chores is $1 more than the unit rate for babysitting.

Step-by-step explanation:

30 divided by 5=6  So that means it was six dollars for babysitting.

28 divided by four=7  So that means it was seven dollars for babysitting.




Write a conjecture for the pattern of the sequence

Answers

Final answer:

To conjecture a sequence, one must identify and extend the observable pattern, much like the quark hypothesis predicted unseen particles, or like recognizing the vowel sounds in specific linguistic patterns.

Explanation:

In mathematics, creating a conjecture for a sequence involves analyzing the given numbers or patterns and predicting the next element based on the identified pattern. The process comparable to what the developers of the quark hypothesis did, working to predict unknown elements based on established patterns, can aid us in formulating a conjecture for the sequence in question.

For instance, if we refer to the resonance frequencies of a closed tube which form a pattern represented by the formula An = L / (4n) where n is an odd number, we can conjecture that the next frequency in the sequence would be determined by the next odd integer following the last one used.

Similarly, the binomial theorem expansion shows a pattern of coefficients that can be used to conjecture future terms in a binomial expansion. Analyzing patterns like VCC and VCle that determine whether the vowel sound should be long or short in English offer a linguistic parallel to mathematical pattern predictions.

Final answer:

To create a conjecture for a sequence, examine the values and look for a consistent relationship or rule. An example is adding 3 to the previous term in the sequence.

Explanation:

A conjecture for the pattern of a sequence can be created by examining the values in the sequence and looking for a consistent relationship or rule. For example, if the sequence is 1, 4, 7, 10, 13, the conjecture may be that each term is obtained by adding 3 to the previous term. This can be represented mathematically as An = A(n-1) + 3, where An represents the nth term in the sequence.

given that there are eight ounces in a cup and four cups in a quart, which quantity below is equal to 128 ounces

256 ounces 64 ounces 18 cups 4 quarts

Answers

Answer:

4 quarts i had this question on a test and got it right

Step-by-step explanation:

128 ounces is equal to 4 quarts.

To solve this, we need to convert the amount given in ounces to quarts.

Step-by-Step Solution:

There are 8 ounces in a cup.There are 4 cups in a quart.Therefore, there are 8 ounces/cup × 4 cups/quart = 32 ounces in a quart.To find out how many quarts are in 128 ounces, divide 128 by 32: 128 ounces / 32 ounces per quart = 4 quarts.

So, the quantity equal to 128 ounces is 4 quarts.

The other options: 256 ounces and 64 ounces are obviously not equal to 128 ounces since 256≠ 128≠ 64

and,  18 cups =18×8= 144 ounces ≠ 128 ounces.

209,767 rounded to the nearest 10,000

Answers

210,000 is your answer
[REMINDER]
(Whenever a particular number is greater than 5 regardless of where it is placed, can be rounded up).

[ANSWER
Since the 9 in 9767 is greater than 5 the answer is therefore 210,000

How fast was Matt driving if he drove 415 miles in 7 hours?

Answers

He was driving 59 mph

The speed of Matt nearest to tenth place will be 59.3 miles per hour.

What is speed?

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Matt drove 415 miles in 7 hours. Then the speed of Matt is calculated as,

Speed = 415 / 7

Simplify the equation, then we have

Speed = 59.2857 miles per hour

Speed = 59.3 miles per hour

The speed of Matt closest to the 10th spot will be 59.3 miles each hour.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Another struggle.... Helppp

Answers

This inequality can be transformed into:

(x-7)(x+5) > 0

So the threshold points are x= 7 and x = -5

Then you can find that: when x > 7 and x < -5, this inequality works

So the solution is (-∞, -5) ∪ (7, ∞)
This is not easy ...

First you have to write it as an equation = 0:


x^2-2x-35 = 0.

Then, find the roots with he quadratic formula:

x = (2 +/- sqrt(4 + 280))/2, sqrt(284) = 16.85 ...

Uh, so now with roots:

sqrt(284) = sqrt( 4*71) = 2*sqrt(71), sounds too difficult for an online question ...

Let's move on:

roots = 1+/- sqrt(71), so

x^2 - 2*x -35 = (x - 1 - sqrt(71))*(x - 1 + sqrt(71))

You have to try values less, in between or greater than the roots. GOing straight to the point,

(-infinity, 1 - sqrt(71) ) And ( 1 +  sqrt(71), infinity)


a whole number is a perfect square if its square root is an integer true or false

Answers

The answer is True because it has real numbers in it
True because it have real numbers

(1-sec x)/(1-cos x) = -sec x
I got up to this:
(cos x - 1)/ (cos x(1 - cos x)

Can you help me verify the following identity?

Answers

We are given the trigonometric equation:

(1 - sec x) / (1 - cos x) = - sec x

 

Since the left side has more terms, then let us work on that side to make it exactly like the right side.

We know that sec = 1 / cos, therefore:

(1 – 1 / cos x) / (1 – cos x) = - sec x

[(cos x – 1) / cos x] / (1 – cos x) = - sec x

[- (1 – cos x) / cos x] / (1 – cos x) = - sec x

Cancelling out the term (1 – cos x):

- 1 / cos x = - sec x

- sec x = - sec x

PROVEN!

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

Answers

A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle. 

The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
    
                   r² = x² + y²
If we are to simplify this for the r alone, we have,
                     r = sqrt (x² + y²)

Substituting the known values,
               r = sqrt ((4)² + (-4)²) = 4√2

The x and y can be related through the trigonometric function, tangent. 
      tan θ = y/x
To solve for θ
   θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°

Hence, the polar coordinate is (4√2, 315°)

Answer:

(4 square root 2, 315°), (-4 square root 2, 135°)

Step-by-step explanation:

s the work shown below correct? Explain your answer. (11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 – 8i

Answers

No, because [tex]-(3-10i)=-3+10i[/tex]

Answer:

Given that: [tex](11+2i)-(3-10i)[/tex]

Remove the parentheses, we have;

[tex]11+2i-3+10i[/tex]

Like terms are those terms which have same variables to the same power.

Combine like terms of a constant variable;

[tex](11-3) +2i+10i[/tex]

Similarly, combine like terms of imaginary part, we have;

[tex](11-3) +(2i+10i)[/tex]

Simplify:

[tex]8 +(12i)[/tex]

or

[tex]8+12i[/tex]

Therefore, the correct solution of [tex](11+2i)-(3-10i)[/tex] = [tex]8+12i[/tex]

A cheetah runs at a speed of 54 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?

A.) d = 54t
B.) t = 54d
C.) d = 54 + t
D.) t = 54 + d

Answers

answer

A.) d = 54t

hope it helps

you would multiply the number of  hours (t) by the speed (54) to find the distance (d)

 so A) d=54t

Tony is training to run a marathon. He has already run 2 miles today and is running additional miles at 6 miles per hour. Write an equation that represents the miles, M, that Tony runs, where h represents the number of hours

Answers

M = 6h + 2 <=== ur equation
M=2 + 6 x H is the answer because he already ran 2 miles so you add that to 6 x H because he runs 6 miles an hour for H hours so M=2 + 6 x H is your equation.

Find the GFC of 56 and 84. A factor tree for 84 is given below. The GCF of 84 and 56 is .

Answers

The GCF of 84 and 56 is 28.

The greatest common factor of the given numbers is 4.

The given numbers are 56 and 84.

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.

Here, the factors of given numbers are

56 = 2×2×2×7

84 = 2×2×3×7

Now, the common factors from the above factorization is 2×2

= 4

Therefore, the greatest common factor of the given numbers is 4.

To learn more about the greatest common factor visit:

brainly.com/question/11221202.

#SPJ6

Find the value of the expression m4 - m3 - 2m2 + 10m + 15 when m = -3.

Answers

In this case sense its m= -3 then your answer is -6 

Sarah is making flower arrangements. She has 15 roses and 10 daisies. If she wants to make all identical arrangements, with no flowers leftover, what is the greatest number of arrangements she can make? And how much of each flower will be in each arrangement

Answers

find greatest common factor

factor each
15=1*3*5
10=1*2*5

gcf=1*5 or 5

15=5*3
10=5*2

so 5 arrangements, each with 3 roses and 2 dasies

During low tide, the beachfront in some places is about 350 from the ocean to the homes . High tide can change the width of a beach at a rate of -17 feet each hour . It takes 6 hours for the ocean to move from low to high tide . What is the change in the width of the beachfront from low to high tide ?

Answers

the change in width would be -17 * 6 = -102 feet

distance from the ocean to the houses would be 350-102= 248 feet

Find the product of 0.094 ×0.367

Answers

0.034498 is the answer

Write the equivalent decimal and fraction for each percent.

Percent: 15%
Percent:120%
Percent:36%
Percent:22%
Percent:54%
Percent:205%
_______________________________________________________________
For each fraction or decimal, write the equivalent percent.
3/25 =
4.06 =
0.01 =
1/8 =
2/5 =
0.6%
__________________________________________________________

90% or 120 is:___
3.6 or 5% of:___
37 1/2 or 64 is:____
39 is __% of 52
110% or 55 is____
18 is 40% of ____
27 is ___ % of 108
35 is 25% of ___
28 is __% of 20
82 is ___% of 40


Answers

Percent: 15% = 0.15
Percent:120% = 1.2
Percent:36% = 0.36
Percent:22% = 0.22
Percent:54% = 0.54
Percent:205% = 2.05

3/25 = 12%
4.06 = 406%
0.01 = 1%
1/8 = 12.5%
2/5 = 40%
0.6% = 60%


Answer:

15% = 0.15

120% = 1.2

36% = 0.36

:22% = 0.22

54% = 0.54

205% = 2.05

3/25 = 12%

4.06 = 406%

0.01 = 1%

1/8 = 12.5%

2/5 = 40%

0.6% = 60%

Hope this helps :)

Rewrite 256 in exponential form using 2 as the base

Answers

256=2^8
256 is 2^8
I hate this " at least 20 characters to explain" may be the answer doesn't need to be explained so much

the lines shown below are perpendicular. if the green line has a slope of 1/7, what is the slope of the red line?

Answers

Answer: it's -7


Step-by-step explanation:


Answer:

Therefore, the slope of the red line must be -7

Step-by-step explanation:

If the two lines are said to be perpendicular each other, then the multiplicative of their slope is -1.

Let "m1" be the slope a line and "m2" be the slope of the perpendicular line.

So, m1*m2 = -1

Here, let's take "m1" be the slope of the green line and "m2" be the slope of the red line.

They said to be perpendicular to each other.

So, m1*m2 = -1

Given: m1 = 1/7

NOw plug in m1 = 1/7 in the above statement, we get

1/7 *m2 = -1

Let's find the value of m2, multiply both sides by the reciprocal of 1/7

The reciprocal of 1/7 is 7.

7*1/7*m2 = -1*7

7/7.m2 = -7

m2 = -7

Therefore, the slope of the red line must be -7

For which pair of numbers is the greatest common factor 8

Answers

the answer is at least 4 and 4

What is the relationship between 8.76 x 10^6 and 8.76 x 10^2

Answers

8.76×10^6 is 35340.4 and 8.76×10^2 is 647.3.

Hope this helps.

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

F = 9 over 5 C + 32

Which of the following formulas correctly solves for C?
A) C = 5F − 32 over 9
B) C = 5 F over 9 − 32
C) C = 9 over 5 (F − 32)
D) C = 5 over 9 (F − 32)


Answers

it is the last option C=5/9(F-32)

Answer:

option (D) is correct.

formula that solves for C is  [tex]C=\frac{5(F-32)}{9}[/tex]

Step-by-step explanation:

Given :  the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F as ,  [tex]F=\frac{9}{5}C+32[/tex]

We have to find the correct formula that solve for C,

Consider the given formula,

[tex]F=\frac{9}{5}C+32[/tex]

We have to find formula for C,

Thus, first subtract 32 both side, we get,

[tex]F-32=\frac{9}{5}C[/tex]

Now, multiply  5 both side, we get,

[tex]5(F-32)={9}C[/tex]

Now , divide both side by 9, we get,

[tex]\frac{5(F-32)}{9}=C[/tex]

Thus, formula that solves for C is  [tex]C=\frac{5(F-32)}{9}[/tex]

Thus, option (D) is correct.

What is the answer to this.
2 1/3 + 3 1/4

Answers

first you make them into improper fractions

2 1/3 = 3 + 3 + 1 /3 = 7/3
3 1/4 = 4 + 4 + 4 + 1 /4 = 13/4

Then you make a common denominator

7/3 + 13/4 = x/12 + y/12

13 x 3 = x, and 7 x 4 = y  ( do cross multiplication)

39/12 + 28/12 = 67/12 ( answer in improper fraction)

67/12 = 12 + 12 + 12 + 12 + 12 + 7 

5 7/12 is your answer in mixed fraction

hope this helps
2 1/3 + 3 1/4 = 5 7/12

1. First, you have to find a common denominator... 12
     - 3: 3, 6, 9, 12, 15...
     - 4: 4, 8, 12, 16, 20...
  - Both have an LCM as 12, so that is the common denominator.

2. Second, you make the fractions equivalent to when the denominator is 12...
     - 1/3 x 4 = 4/12
     - 1/4 x 3 = 3/12

3. Lastly, add...
     - 2 4/12 + 3 3/12 = 5 7/12


Hope this helped! :)

An item has a listed price of $80. If the sales tax rate is 6% , how much is the sales tax (in dollars)?

Answers

$4.80 is the sales tax 

6% = 0.06

80 x 0.06 = 4.80

 the tax is $4.80

-4(2x-6)=-(4x-9)-2x+3

Answers

-4(2x-6)=-(4x-9)-2x+3
First, you multiply -4 by 2x and -6: -8x+24=-(4x-9)-2x+3 is what you will get. Then, you would do the same thing to the other side...since there isn't a number in front of the parenthesis its concidered as -1, so you would multiply -1 by 4x and -9 to get: -8x+24=-4x+9-2x+3
Then, you would add -4x to -2x to get -6x. Then you would add 9 and 3 to get 12: -8x+24=-6x+12. Then, you would add 6x on both sides: -2x+24=12. Then you would subtract 24 on both sides to get, -2x=-12. Then, you would divide both sides by -2 and your answer would be 6. x=6

Starting at home, Jessica traveled uphill to the grocery store for 18 minutes at just 20 mph. She then traveled back home along the same path downhill at a speed of 60 mph.

What is her average speed for the entire trip from home to the grocery store and back?

Answers

The average speed is 40 miles per hour.
Based on the formula [tex]distance = velocity*time[/tex] we can find the distance from the grocery store:

[tex]distance = velocity * time = 20mph * \frac{18}{60}hrs = 6 miles[/tex]

Based on this distance we can find the time it took her to get back using the formula [tex]time = \frac{distance}{velocity}: [/tex]

[tex]time = \frac{distance}{velocity} = \frac{6 miles}{60mph} = \frac{1}{10}hrs = 6 minutes[/tex]

After this you just take the average of Jessica going at 20 mph for 18 minutes and 60 mph for 6 minutes:

[tex]\frac{20mph * 18min + 60mph*6min}{24min} = 30mph[/tex]

:)


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