a map has a scale of 1.5 inches = 9 miles. On the map, two towns are 4 inches apart. What is the distance, in miles between the two towns?

Answer:

Step-by-step explanation:

Answer:

I replaced x with y because, If it was x there would be no graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

Typically you would want to solve this equation by dividing both sides by 3 but we need to find an equivalent equation that gives the same answer. 3 divided by 3 is the same as 3 times 1/3. Thus;

3x * 1/3 = 9 * 1/3

x = 3

Best of Luck!

Answer:

3

Step-by-step explanation:

3x = 9

= 3x/3 = 9/3

= 3

Answer:

2%

Step-by-step explanation:

so the point [tex](\sqrt{3},\sqrt{7})[/tex] is in the circumference so the distance from (0,0) to this point will be the radius of the bullseye

[tex]x=\sqrt{(\sqrt{3}-0)^2+(\sqrt{7}-0)^2}\\\\x=\sqrt{3+7}\\\\x=\sqrt{10}[/tex]

so that's the radius

so the area will be

[tex]A=\pi x^2\\\\A=\pi (\sqrt{10})^2\\\\A=10\pi[/tex]

so the percentage is

[tex]P=\frac{A}{1600}\\\\=\frac{10\pi}{1600}\\\\=\frac{\pi}{160}\\\\P\approx 0.02[/tex]

so it's 2%

Since the leading degree of the resulting expression is 2, hence the  polynomial simplifies to an expression that is a quadratic

Polynomial expressions are expressions that has a leading degree of 3 and above.

Given the expression

(-5x² - 2x + 4) + (8x² - x - 1) - (x+2)(x-5)

Expand the polynomial

(-5x² - 2x + 4) + (8x² - x - 1) - (x² -3x - 10)

Collect the like terms

-5x² + 8x² - x² - 2x - x + 3x + 4 - 1 + 10

2x²  + 13

Since the leading degree of the resulting expression is 2, hence the  polynomial simplifies to an expression that is a quadratic

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Answer:

6 mph

Step-by-step explanation:

the cars acceleration was

6mph

Answer:

You could do 50 2 seat tables and 5 4 seat tables

You could do you could do 40 2 seat tables and 10 4 seat tables

Step-by-step explanation:

brainliest plz

Answer:

1cm =4 cm

Step-by-step explanation:

28/7=4

so Scale is 4

Have a nice Day , I would appreciate it if you could mark my answer brainliest

The drawing should have a scale of 400:1.

A scale is a group of levels or numbers that are applied to a certain system of measurement or comparison.

Given, the drawing length is 7cm and the real length is 28 meters.

real length in cm = 2800. hence,

Scale of drawing = 2800: 7 = 400 : 7

Therefore, 400: 1 would be the scale of the given drawing.

Learn more about scale here:

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Answer: c

Step-by-step explanation:

Step-by-step explanation:

A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)

B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)

C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)

Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).

Answer:

4 glasses

Step-by-step explanation:

im sorry if im wrong

Answer:

4 glasses

Step-by-step explanation:

ur welcome

Step-by-step explanation:

18/hour life guarding and 9/hour clearing tables. so 9 divided by 144 gives you ur hours then u just divide by 2 to get life guarding hours pls tell me if u need help

Answer:

w = 10π

w ≈ 31.4159

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

4π = w - 6π

Step 2: Solve for w

Answer and Step-by-step explanation:

4[tex]\pi[/tex] = w -6[tex]\pi[/tex]

Add 6[tex]\pi[/tex] to both sides.

10[tex]\pi[/tex] = w

(10 pi equals variable w)

This is your answer.

#teamtrees #WAP (Water And Plant)

Given:

Decay rate: 1.5% per year = -0.015

To find:

The half life.

Solution:

The continuous exponential decay function is

[tex]A(t)=Ae^{-kt}[/tex]

where, a is initial value, -k is decay rate and t is time period.

For half life, [tex]A(t)=\dfrac{A}{2}[/tex],

[tex]\dfrac{A}{2}=Ae^{-0.015t}[/tex]

Dividing both sides by A.

[tex]\dfrac{1}{2}=e^{-0.015t}[/tex]

Taking natural log on both sides.

[tex]\ln \dfrac{1}{2}=\ln e^{-0.015t}[/tex]

[tex]-0.69314718=-0.015t[/tex]

Divide both sides by -0.015.

[tex]\dfrac{-0.69314718}{-0.015}=t[/tex]

[tex]46.209812 =t[/tex]

[tex]t\approx 46[/tex]

Therefore, the half life is 46 years.

Answer:- Things look 250 larger.

Answer:

2,500x.

Step-by-step explanation:

Answer:

D. 0.981

Step-by-step explanation:

Given :

Rainfall (in inches) X

8.3

6.6

11.2

10.3

16.6

8.1

4.8

13.4

13.8

Yield (bushels per acre). y

55.5

512

63.8

64

87.4

54.2

36.9

81

83.8

Using the Pearson regression Coefficient calculator :

The Regression Coefficient (R) value obtained is 0.9808 = 0.981 wgi h sig ifues a strong positive relationship between inches of Rainfall and bushel yield.

Answer:

2.14?

Step-by-step explanation:

(I'm not good at explaining, but I THINK its 2.14)

Answer:

a. [tex]f(a) = -0.03a +1.53[/tex]

b. See Explanation

c. The slope is reasonable but the p intercept is not

d. [tex]f(20) = 93\%[/tex]     [tex]f(30) = 63\%[/tex]    [tex]f(40) = 33\%[/tex]   [tex]f(50) = 3\%[/tex]

Step-by-step explanation:

Given

[tex]a = age[/tex]

[tex]p = probability\ of\ marriage[/tex]

[tex]a = 45[/tex] when [tex]p = 18\%[/tex]

[tex]a = 25[/tex] when [tex]p = 78\%[/tex]

Solving (a): The linear function

We start by calculating the slope, m

[tex]m = \frac{p_2 - p_1}{a_2 - a_1}[/tex]

[tex]m = \frac{78\% - 18\%}{25- 45}[/tex]

[tex]m = \frac{60\%}{-20}[/tex]

[tex]m = -3\%[/tex]

[tex]m = -0.03[/tex]

The function is then calculated as follows

[tex]p - p_1 = m(a - a_1)[/tex]

This gives:

[tex]p - 18\% = -0.03(a - 45)[/tex]

[tex]p - 0.18 = -0.03(a - 45)[/tex]

[tex]p - 0.18 = -0.03a +1.35[/tex]

Solve for p

[tex]p= -0.03a +1.35+0.18[/tex]

[tex]p= -0.03a +1.53[/tex]

Hence,

[tex]f(a) = -0.03a +1.53[/tex]

Solving (b): Interpret the slope and the p intercept

The slope is calculated as:

[tex]m = -0.03[/tex]

And it implies that, there is a 3% reduction in change of getting older as women get older

The p intercept implies that, there is a 1.53 chance for 0 years old female child to get married.

Solving (c): Is (b) reasonable

The slope is reasonable.

However, the p intercept is not because of the age of the woman

Solving (d): Determine f(20), f(30), f(40), f(50)

We have that:

[tex]f(a) = -0.03a +1.53[/tex]

[tex]f(20) = -0.03 * 20 + 1.53[/tex]

[tex]f(20) = -0.6 + 1.53[/tex]

[tex]f(20) = 0.93[/tex]

[tex]f(20) = 93\%[/tex]

[tex]f(30) = -0.03 * 30 + 1.53[/tex]

[tex]f(30) = -0.9 + 1.53[/tex]

[tex]f(30) = 0.63[/tex]

[tex]f(30) = 63\%[/tex]

[tex]f(40) = -0.03 * 40 + 1.53[/tex]

[tex]f(40) = -1.2 + 1.53[/tex]

[tex]f(40) = 0.33[/tex]

[tex]f(40) = 33\%[/tex]

[tex]f(50) = -0.03 * 50 + 1.53[/tex]

[tex]f(50) = -1.5 + 1.53[/tex]

[tex]f(50) = 0.03[/tex]

[tex]f(50) = 3\%[/tex]

Answer:

220 = B + 30

Step-by-step explanation:

This can be rearranged many ways

B= 190

B= 220 - 30

ETC...

Answer:

265.1

Step-by-step explanation:

10% = 0.1

15% = 0.15

0.1(42)(8) + 0.15(14)(15) + 200 = 33.6 + 31.5 + 200 = 265.1 - total amount  Adam earned last week.

Answer:

Her meal was $26 and 62 cents

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

[tex]first\:one:\\\\2x+10=-2x+10 \rightarrow\leftarrow\\\\second:\\\\-2(x+5)=2x-10\\\\-2x-10=2x-10\rightarrow\leftarrow\\\\third:\\\\-2x-10=-2(x+5)\\\\-2x-10=-2x-10 \\\\fourth:\\\\-2(x-5)=-2x-10\\\\-2x+10=-2x-10\rightarrow\leftarrow[/tex]

Note: this symbol [tex]\rightarrow\leftarrow[/tex] means contradiction, you can take it as doesn't work

I hope that i explained enough

Answer:

Yes.  There can be 56 games (92%) of Exploding Snap every evening throughout September and October that can be played without having the same three Gry ndors play a game twice.

Step-by-step explanation:

This is a combination game without repetition.

The formula for combination without repetition is:

n! /r! (n - r)!

where n = 8 and r = 3

Therefore, n! /r! (n - r)!

= 8! / 3! (8 -3)!

= 40,320 / 6 (120)

= 40,320 / 720

= 56

There are 30 nights in September and 31 nights in October, totaling 61 nights

This implies that 56/61 games can be played in these two months without repeating the same three gamers.

56/61 = 0.918

= 92%

Answer:

2) no

3) yes

Step-by-step explanation:

i think. sorry if im wrong

Answer:

2 No

3 Yes

Step-by-step explanation:

x = ky

Substitute the values of x and y to check if it's proportional. Then solve for k. If k is the same for all 4 equations, then 2 is proportional.

6 = -2k, k = 6/-2, k = -3

7 = -1k, k = 7 / -1, k = -7

8 = 0k, k = 8 / 0, k = 0

9 = k, k = 9

2 is not proportional.

Substitute the values of x and y to check if it's proportional. Then solve for k. If k is the same for all 4 equations, then 3 is proportional.

-70 = -10k, k = -70 / -10, k = 7

-56 = -8k, k = -56 / -8, k = 7

-14 = -2k, k = -14 / -2, k = 7

-7 = -k,  k = -7 / -1, k = 7

3 is proportional.

Answer:

the smallest number of equally sized pieces is 20

Step-by-step explanation:

The computation of the smallest number of equally sized pieces is as follows:

Given that

The sum of 1 by 5 and 3/4

Now

if we sum it

= 1 ÷ 5 + 3 ÷ 4

= 4 + 15 ÷ 20

= 19 ÷ 20

Now as if we do the lcm so the denominator sum be 20

Therefore the smallest number of equally sized pieces is 20

Answer:

I cant tell what u mean but if the angles are equal the answer is 10

Step-by-step explanation:

Based on the calculations, the value of x is equal to 42.5.

Given the following data:

To determine the value of x:

A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.

Mathematically, a supplementary angle is calculated as follows:

[tex]Angle\;2+Angle\;4 =180\\\\3x-5 +x+15=180\\\\4x+10=180\\\\4x=180-10\\\\4x=170\\\\x=\frac{170}{4}[/tex]

x = 42.5.

Read more on supplementary angle here: brainly.com/question/10335289

Answer:

Solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]

Step-by-step explanation:

We need to solve the equation:

[tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]

And find the value of a

Solving the equation: [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]

First we will be Switching sides

[tex]\frac{3a}{4}-\frac{13}{20}=-\frac{7}{10}[/tex]

Now, for finding value of a we will be adding 13/20 on both sides

[tex]\frac{3a}{4}-\frac{13}{20}+\frac{13}{20}=-\frac{7}{10}+\frac{13}{20}[/tex]

[tex]\frac{3a}{4}=-\frac{7}{10}+\frac{13}{20}[/tex]

Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:

[tex]\frac{3a}{4}=\frac{-7*2+13}{20}\\\frac{3a}{4}=\frac{-14+13}{20}\\\frac{3a}{4}=\frac{-1}{20}[/tex]

Now, multiply both sides by 4/3

[tex]\frac{3a}{4}\times \frac{4}{3} =\frac{-1}{20}\times \frac{4}{3}\\a=\frac{-1}{5}\times \frac{1}{3}\\a= \frac{-1}{15}[/tex]

So, solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]

Answer:

The answer is letter D.

Step-by-step explanation:

hope this helps

Answer:

The answers to the questions are well numbered below.

Step-by-step explanation:

We have arrival rate

λ = 7 in every 10 minutes = 0.7

Service time u = 7 minutes

1. Average time a car is in system

W = 1/u - λ

= 1/7-0.7

= 0.1587

= 0.16 to 2 decimal places

2. Average number of cars in system

= λ/u-λ

= 0.7/7-0.7

= 0.1111

= 0.11 to 2 decimal places

3. Average time that cars spend to receive service

= λ/u(u-λ)

= 0.7/7(7-0.7)

= 0.01587

= 0.016 to 2 decimal places

4. Average number of cars in line behind customer receiving service

= λ²/u(u-λ)

= 0.7²/7(7-0.7)

= 0.49/44.1

= 0.011 to 2 decimal places

5. Probability no cats at window

1-λ/u

= 1-0.7/7

= 0.9 = 9%

6. Percentage of time postal clerk is busy

= λ/u = 0.7/7 = 0.1 = 10%

7. Probability of exactly 2 cars

= λ²e^-λ/2!

= 0.7²e^-0.7/2!

= 0.1217

= 12.17%