Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale to the larger map?

Answer: [tex]y=2.75x+7.5[/tex], 10 miles

Step-by-step explanation:

Given

The company charges $2.75 per mile

The total charge is $29.50

Also, x represents the number of miles and y represents the total cost of the cab ride

Assume extra charge be c

for 8 miles, the charge is

[tex]\Rightarrow 29.50=2.75\times 8+c\\\Rightarrow c=\$7.5[/tex]

The slope-intercept form of the information is

[tex]\Rightarrow y=2.75x+7.5[/tex]

for $35 charge, miles covered

[tex]\Rightarrow 35=2.75x+7.5\\\Rightarrow 2.75=27.5\\\Rightarrow x=10\ \text{miles}[/tex]

Answer:

D

Step-by-step explanation:

If f(x) = 4x ^ 2 - 3 and g(x) = x + 1 , find (f - g)(x)

A. 4x ^ 2 - x - 2

B. x - 4x ^ 2 - 2

C. 4x ^ 3 - 3

D. 4x ^ 2 - x - 4

(f - g)(x) = f(x) - g(x)

4x ^ 2 - 3 - (x + 1 )                  Multiply the brackets by the negative.

4x ^ 2 - 3 -x - 1                       Add like terms.

4x ^ 2 - x - 4                           Final Answer

Answer:

27/512 in.^3

Step-by-step explanation:

volume = side^3

V = (3/8 in.)^3

V = 27/512 in.^3

Answer:

2 minutes, 40 seconds

Step-by-step explanation:

set up a proportion and cross-multiply:

4/3 = x/2

3x = 8

x = 2 2/3 which is 2 minutes, 40 seconds

Answer:

Step-by-step explanation:

1[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{3}[/tex] = [tex]\frac{3}{2}[/tex]*[tex]\frac{1}{3}[/tex]    cross cancel    then  you have  [tex]\frac{1}{2}[/tex]   :)

Answer:

He will use 1 1/6 teaspoons

You can change mixed numbers by changing it into an improper fraction.

Step-by-step explanation:

Answer:

D'(5,2)

E'(13,-5)

F'(15,3)

Answer:

8^2 = 64

Step-by-step explanation:

Hi! Okay, let's get started!

[tex]8^{2}[/tex] is what you need help with right?

So, that equals to 8 x 8.

8 x 8 = 64, so it would be 64

Hope that helps!

-Aphrodite :)

Answer:

Step-by-step explanation:

The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.

…… (1)

where

Terminal voltage of the motor

Flux in the motor

Torque induced in the motor

Armature resistance

If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.

Answer:

Step-by-step explanation:

The answer to this question link is here

https://socratic.org/answers/623991

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

For the 14th term, plus in 14 for n, and it will look like this:

= 2(3)^(14 -1)

= 2(3)^(13)

= 3188646

Answer:

i belive it is answer  B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

im not sure

Answer:

a

Step-by-step explanation:

Answer:

To convert a decimal to a percent, multiply it by 100 (move the decimal place two digits to the right) and add the "%" sign.

A fraction must be converted into a decimal first by dividing the denominator into the numerator, then converting that answer to a percent like above.

Answer:

B -1/16

Step-by-step explanation:

Answer:

a) 2/6           b) 4/6

Step-by-step explanation:

You add the amount of beads: 1+2+2+1= 6

And take the amount of green beads and put it over the total amount so 2/6

For b you do the same but add the green and yellow beads and put that over the total amount 4/6

Answer:

Step-by-step explanation:

a) 2/6 = 1/3

b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) =  1/15 x 1/15 = 1/225

im not sure if my answers are correct

Answer:

[tex]-2<x<-\dfrac{3}{4}[/tex] Or [tex]x\in (-2,-\dfrac{3}{4})[/tex]

Step-by-step explanation:

The numbers are [tex]-\dfrac{3}{4}[/tex] and [tex]-2[/tex].

We need an inequality that gives us the numbers between the above numbers.

The inequality will be

[tex]-2<x<-\dfrac{3}{4}[/tex]

Or

[tex]x\in (-2,-\dfrac{3}{4})[/tex]

This means that [tex]x[/tex] is a number that is in between the rational numbers [tex]-\dfrac{3}{4}[/tex] and [tex]-2[/tex]. Also, [tex]x[/tex] is greater than [tex]-2[/tex] and less than [tex]-\dfrac{3}{4}[/tex]

The positions in the number line are shown in the figure where the numbers are marked by arrow.

Step-by-step explanation:

4. because it's the highest number your can evenly divide both numbers by

Answer:

False

Step-by-step explanation:

Trying it in a calculator says otherwise meaning it's false

Answer:

D i hope heulful

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

measure of angle F = [tex]sin^{-1} (9/18) = 30[/tex]

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

9514 1404 393

Answer:

  A, E

Step-by-step explanation:

You are correct that the appropriate relationship is ...

  g = 0.4t . . . . choice A

You are also correct that an equivalent relationship is ...

  t = 2.5g . . . . choice D

However, when we say gallons are proportional to seconds, we usually expect that to be written ...

  g = kt . . . . for some value of k

__

We note that another equivalent is ...

  g = 2/5t . . . . choice E

The appropriate choices are probably A and E. Choice D might be argued to be correct, but you could very well lose that argument to someone who prefers a "g = " form of the relationship.

Answer:

C

Step-by-step explanation:

105,25:5,5*105.5=2018,89

Answer:

complementary

Step-by-step explanation:

because the angles add up to 90°

Answer: A, 314 square inches

Step-by-step explanation:

The equation for the area of a circle is A = 3.14 x r²

3.14 x 10² ≈ 314

Answer:  35

Step-by-step explanation:

The sum of interior angles of a triangle is 180°.

40 + 2a + 2a = 180

4a + 40 = 180

4a = 140

a = 35

Answer:

17.905

#CarryOnlearning

9514 1404 393

Answer:

  23e

Step-by-step explanation:

The number of minutes watching is 23 minutes times the number of episodes:

  23e

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]

[tex]x = 84[/tex]

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

[tex]y = \frac{3}{7}\cdot x[/tex]

[tex]y = 36[/tex]

Murieron 36 vacas.

Cantidad de vacas vendidas

[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]

[tex]z = 24[/tex]

24 vacas fueron vendidas.

Answer:

Height = 8

Step-by-step explanation:

Volume = Length x width x height

192 = 6 x 4 x H

192 = 24 x H

192/24 = H

8 = H

Height = 8

Answer: -7 is the answer.

Step-by-step explanation:

y2 - y1 = m (x2 - x1)

y - (-5) = -2 {x - (-1)}  [Taking y2 as y and x2 as x]

y + 5 = -2 (x + 1)

y + 5 = -2x -2

y + 2x = -2 - 5

2x + y = -7