a
A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 5
kilometers. If two towns are 30 centimeters apart on the map, what is the actual distance between the two
towns?

Answers

Answer 1

Answer: 150 kilometers

Step-by-step explanation:

if it's 30 units of 5 kilometers then you multiply it

5x30=150


Related Questions

at 8 the temp in the city was -8. at noon the same day the temp was 2. what was the difference in temp between 8 and noon

Answers

-8 to 0 = 8

0 to 2 = 2


total change = 8 + 2 = 10 degrees

2. Mississippi covers a total of 47,691 square
miles. The total population of the state in
2000 was 2,844,658. What was the population
per square mile?

Answers

Answer:

60 people per square mile

Step-by-step explanation:

Given :

Population of Mississippi = 2,844,658Area of Mississippi = 47,691 square miles

Population density is the rough calculation of people (population) per square mile

Population Density

Population / No. of square miles2,844,658 / 47,691⇒ 59.6476903 (approx.)⇒ 60 people per square mile
Population of the state=2844658Area =47691mi^2

Population density:-

TOTAL population/Total area2844658/4769159.64Persons or 60(Rounded) persons per square mile


The number of jelly beans placed in jars by a class of kindergarteners is normally distributed with an unknown population
mean and standard deviation. A random sample of 20 jars is taken and results in a sample mean of 43 jelly beans and
sample standard deviation of 6 jelly beans.

Answers

Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.

The other parameters are given as follows.

[tex]\overline{x} = 43, s = 6, n = 20[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22[/tex]

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78[/tex]

The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

More can be learned about the t-distribution at https://brainly.com/question/16162795

You need 120 pieces of chalk for art day. your teacher gar 6 boxes of chalk. Each box he's 18 pieces of chalk. Is that enough chalk for art day if there is 24 students

Answers

Answer:

No

Step-by-step explanation:

6 time 180 is only 108

108<120

There is not enough chalk.

the total deposist made over a time of periode

Answers

bro what.... finish the question...

The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56cm. Find the lengths of each side of the rectangle

Answers

Answer:

smaller side: 10 cmlarger side: 18 cm

Step-by-step explanation:

The given relationships can be translated to equations using L and W for the length and width of the rectangle. The distance from the center to the short side is L/2, and the distance from the center to the long side is W/2.

Setup

  P = 2(L +W) . . . . . formula for the perimeter

  56 = 2(L +W) . . . . . the perimeter is 56 cm

  L/2 = 4 + W/2 . . . . . distance to short side is 4 cm longer

__

Solution

Dividing the first equation by 2 gives ...

  28 = L +W

Multiplying the second equation by 2 gives ...

  L = 8 + W

Substituting for L in the first equation, we have ...

  28 = (8 +W) +W . . . . . . use L=8+W

  20 = 2W . . . . . . . . .subtract 8

  10 = W . . . . . . . . divide by 2

  L = 8 +10 = 18 . . . . . find the length

__

The smaller side is 10 cm; the larger side is 18 cm.

a how much will he have in 4. At the age of 30, Jasmine started a retirement account with $50,000 which compounded interest semi-annually with an APR of 4%. She made no further deposits. After 25 years, she decided to withdraw 50% of what had accumulated in the account so that she could con- tribute towards her grandchild's college education. She had to pay a 10% penalty on the early withdrawal. What was her penalty?​

Answers

Answer:

6795.70

Step-by-step explanation:

smart people

After paying 10% penalty on the early withdrawal, Jasmine's penalty for the early withdrawal was calculated to be $5,352.24.

What is the compound interest?

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

here, we have,

We can use the formula for compound interest in ordr to solve this problem.

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal (starting amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, we have the following values,

P = $50,000

r = 1.75% = 0.0175 (since it is compounded semi-annually, n = 2)

t = 25 years

So the final amount after 25 years can be calculated as under

A = 50000(1 + 0.0175/2)^(2×25) = $107,044.84

Jasmine has withdrawn  50% of this amount, which is:

$107,044.84 × 0.5 = $53,522.42

She had to pay a 10% penalty on the early withdrawal, so her penalty would be:

$53,522.42 × 0.1 = $5,352.24

Therefore, the penalty of Jasmine penalty for the early withdrawal was $5,352.24.

Learn more about compound interest :

brainly.com/question/19903178

#SPJ2

I. Elena wants to estimate what proportion of computers produced at a factory have a certain defect. A random sample of 200 computers shows that 12 computers have the defect. She is willing to assume independence between computers in the sample. Based on this sample, construct a 95% confidence interval for the proportion of computers that have the defect.

a
(0.4529, 0.5871)
b
(0.02709, 0.09291)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)

Answers

The answer is (A) 0.4529, 0.5871

Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is (1 point) a −7 b negative 1 over 7 c 1 over 7 d 7

Answers

Heya !

Given two points A ( 8 , -4 ) and B ( 1 , - 5 )

To find - slope of line AB

Solution -

[tex] Slope = \frac{y_{2}-y_{1}}{x_{2} - x_{1}} \\ \\ \dashrightarrow \frac{ -5 - (-4 )}{ 1 - 8 } \\ \\ \dashrightarrow \frac{ - 5 + 4 }{ 1 - 8 } \\ \\ \dashrightarrow \frac{-1}{-7} \\ \\ \dashrightarrow \frac{1}{7}[/tex]

Hence ,

Option ( c ) is correct.

Hope helpful ~

please help me.. no links pls​

Answers

Answer:

The Answer is 108 units.

It's number 2.

find the number that must be added to 40% of 225 to give 200​

Answers

Answer:

x = 110

Step-by-step explanation:

find the number : x

that must be added : +

to :

40/100 * 225 + x = 200

2/5 * 225 + x = 200

90 + x = 200

x = 200 - 90

x = 110


I NEED help ASAP!!!!!!!

Answers

Step-by-step explanation:

Step 1: Plot the points

L(1,2)

M(0,-1)

J(1,-2)

K(2,-1)

Step 2: Multiply each point by 5.

and record thise points so we have

L(5,10)

M(0,-5)

J(5,-10)

K(10,-5)

Step 3: Plot those points.

Answer:

Graph attached below.

Step-by-step explanation:

After dilation of 5, the new coordinates follow the rule :

(x, y) ⇒ (5x, 5y)The points are :J' = (1 x 5, -2 x 5) = (5, -10)K' = (2 x 5, -1 x 5) = (10, -5)L' = (1 x 5, 2 x 5) = (5, 10)M' = (0 x 5, -1 x 5) = (0, -5)

Fill in the blanks below with the correct units. (a) Carmen saw an elephant at the zoo. The elephant's mass was about 5000 ? . (b) Deandre drank about 300 ? of juice with lunch. (c) Martina's family went on a hike that was about 9 ? .

Answers

Answer:

a. 5000 kg

b. 300 ml

c. 9 hours

Determine the area of the following shapes.
a. 144 in
b. 154 in
c. 164 in

Answers

A) 144 in

is your answer. good luck

PLEASE HELP PLEASE HELP

Answers

Answer:

I think line C and L since Jenna's numbers are the same

jenna’s belongs in C line L

PLEASE HELP PLEASE I WILL GIVE BRAINLIEST

Answers

It’s A I’m tired and don’t feel like explaining but I have my own gone work to do so to keep it short it’s A

Help me in math pls ty ​

Answers

Answer:

See below ↓↓↓↓↓↓

Step-by-step explanation:

5.

12 2/3 - 5/738/3 - 5/7266/21 - 15/21251/21 or 11 20/21

6.

11 1/3 - 3/534/3 - 3/5170/15 - 9/15161/15 or 10 11/15

7.

9 1/6 - 2 3/455/6 - 11/4110/12 - 33/1277/12 or 6 5/12

8.

25 1/4 - 3/525.25 - 0.624.6524 13/25 or 613/25

9.

4 1/2 - 1 4/64 1/2 - 1 2/39/2 - 5/327/6 - 10/617/6 or 2 5/6

10.

6 1/8 - 2 2/349/8 - 8/3147/24 - 64/2483/24 or 3 11/24

Question The population of North Dakota was about 672,000 in 2010. The population is projected to be about 630,000 in 2020. Find the percent decrease of the population of North Dakota. (Round to the nearest tenth of a percent.)​

Answers

Answer: 6.25%

Step-by-step explanation:

Percent Decrease = ( ( Starting Value - Final Value ) / Starting Value ) * 100

So 672,000-630000 = 42,000

42,000 / 672,00 = 0.0625

Finally multiply by 100 soooooo 0.0625 * 100 = 6.25%

Beryllium-li decomposes into boron-li with a half-life of
13.8 seconds. How long will it take 2400 g of beryllium-il
to decompose into 75 g of beryllium-il? (3 marks)

Answers

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &75\\ P=\textit{initial amount}\dotfill &2400\\ t=seconds\\ h=\textit{half-life}\dotfill &13.8 \end{cases} \\\\\\ 75=2400\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{75}{2400}=\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{1}{32}=\left( \frac{1}{2} \right)^{\frac{1}{13.8} t}[/tex]

[tex]\log\left( \cfrac{1}{32} \right)=\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8} t} \right]\implies \log\left( \cfrac{1}{32} \right)=t\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right] \\\\\\ \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right]}=t\implies \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \sqrt[13.8]{\frac{1}{2}} \ \right]}=t\implies 69\approx t[/tex]

Ann has some dimes and quarters. If she has 11 coins worth a total of $2.00, how many of each type of coin does she have?

Answers

Answer:

5.5 maybe i guess its fun

8 less than the product of 3 and j

Answers

Answer:

3j - 8

Step-by-step explanation:

8 less than the product of 3 and j

3×j - 8

3j - 8

how do i do this? im confused

Answers

Answer:

θ ≈ 64.62°

Step-by-step explanation:

In this problem we will use trig: SOH CAH TOA. Since we are given hypotenuse (line AB) and adjacent (line ) to the missing angle θ, we will use cosine.

cosθ = adjacent/hypotenuse

cosθ = 3/7

Now take inverse cosine of both sides to cancel out cosine and find the missing angle:

cos⁻¹(cosθ) = cos⁻¹(3/7)

θ = cos⁻¹(3/7)         ---->      Plug into calculator

θ ≈ 1.128 radians · 180°/π rad   ------>.  Convert from radians to degrees

θ ≈ 64.62°

Hope this helps!

Answer: The measure of angle ? is approximately 64.62 degrees.

Step-by-step explanation:

The given value 3 is adjacent to angle ? and 7 is the hypotenuse. Remembering SOH CAH TOA, that means 3/7 = cos(?). To solve, use a calculator to find the inverse cosine of 3/7, which is about 64.62. Look at https://www.khanacademy.org/math/trigonometry/trigonometry-right-triangles/trig-solve-for-an-angle/a/inverse-trig-functions-intro to get a better understanding if needed.

a tree diagram represents an experiment consisting of two trails.

P(A and D) = [?]

Answers

Answer:

0.3

Step-by-step explanation:

Start at the beginning, follow the branch to A and then the branch to D (see attached annotated diagram).

When calculating the probability of an event AND another event, multiply the probabilities.

P(A and D) = 0.5 x 0.6 = 0.3

A copy machine prints 10 copies per minute.
At what rate, in copies per minute, does the copy machine print?
Enter your answer in the space provided.

Answers

The rate in copies per minute the copy machine print is 10 copies per minutes.

What is rate?

Rate is the ratio between two related quantities in different units.

In other word rate is a quotient of two measurements with different units.

In our case we were asked to find the rate at which the machine prints per minutes.

The two related quantities are amount printed and the time in minutes.

Since, the copy machine prints 10 copies in one minutes, the rate at which the copy machine print per minute is 10 copies per minutes.

learn more on rate here: https://brainly.com/question/14199541

Zoe wants to buy two pairs of jeans. The jeans at the mall cost $35 and are on special for buy one pair, get the second pair half off. The same jeans are on sale at a local boutique for 20% off the regular price of $38 plus an additional $10 off purchases over $50. Which is the better buy?​

Answers

The first one because you get haft of

Looking for good answer on this

Answers

-6/4+x (the first one)

[tex]\dfrac{6x-24}{16-x^2}\\\\=\dfrac{6(x-4)}{4^2 -x^2}\\\\=\dfrac{6(x-4)}{(4+x)(4-x)}\\\\=-\dfrac{6(x-4)}{(x+4)(x-4)}\\\\=-\dfrac{6}{x+4}[/tex]

Martinez and grouse swimming pool is finally finished and all this left to do is fill it with water

Answers

Answer:

The aswer is 88

Step-by-step explanation:

Hope this helps

10.A water tank has strps inside it. A monkeyis sitting on topmost floor(i.e.,the first step).The water level is at ninth step. (i) He jumps 3 steps down and then jumps back 2 strps up.In gow many jumps will he reach the water level? Ch-integers class-7​

Answers

Answer:

7 steps.

Step-by-step explanation:

Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.

9-1 = 8 steps left

The monkey jumps 3 steps down

8-3= 5 steps

Then jumps 2 steps up

5 + 2 = 7 steps

The monkey has 7 more steps until he reaches the water level.

Which circle is the graph of the equation (x + 4)2 + (y – 5)2 = 4?

Circle C

Circle B

Circle D

Circle A

Answers

Answer: CIRCLE C

Step-by-step explanation:

Please help me thank you!
10 points !

Answers

Answer:

A = 120 C = 45

Step-by-step explanation:

180 - 15 = 165
(12x + 12) + (3x + 18) = 165
15x + 30 = 165
15x = 135
135 ÷ 15 = 9
x = 9

A = (12x + 12) = 108 + 12 = 120
C = (3x + 18) = 27 + 18 = 45

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