The scale on Todd's map is 1 inch = 200 miles. The distance
from his house to his Grandma's house on the map is 5 1/4 inches.
What is the distance in miles from Todd's house to his Grandma's
house?

Answers

Answer 1

Answer:

1,050 miles

Step-by-step explanation:

First: Convert any mixed numbers to fractions.

Then your initial equation becomes: Applying the fractions formula for multiplication,

2/14×200/1

Applying the fractions formula for multiplication,

21×200

 4×1

=42004

Simplify

1,050


Related Questions

An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?

Answers

Answer:

The answer is stan twice

Step-by-step explanation:

simple

Answer:

x=10

Step-by-step explanation:

Ben ran for president of his class. If there are 410 students and he received 70% of the vote, how many students voted for Ben?​

Answers

Answer:

287

Step-by-step explanation:

70/100*410

(cross out the zeroes then multiply 7 by 41 and you'll get 287)

For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.

Answers

Answer:

[tex]a=9[/tex]

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.

Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex]  It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

[tex]a=\sqrt{15^{2}-12^{2} }[/tex]

-Simplify it:

[tex]a=\sqrt{225-144}[/tex]

-Subtract inside the radical:

[tex]a=\sqrt{81}[/tex]  Then simplify it to get [tex]a=9[/tex].

You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):

Steps

-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:

[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]

-Simplify to get:

[tex]81+144=225[/tex]

-Add:

[tex]225=225[/tex]  This is very true. So our answer is correct.

ANSWER: [tex]a=9[/tex]

Sorry for the long explanation, but I hope you understand and that this helps with your question! :)

Answer:

a = 9

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

how many times larger then 2x10² is 2x10⁸​

Answers

Answer:

1,000,000 times larger

Step-by-step explanation:

2 x [tex]10^{8}[/tex] = 200,000,000

2 x [tex]10^{2}[/tex] = 200

200,000,000 divided by 200 is 1,000,000

It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.

[tex]10^{8} - 10^{2}[/tex] = [tex]10^{6[/tex]

2 ÷ 2 = 1

Now solve:

1 x [tex]10^{6[/tex] = 1,000,000

A jewelry store buys a gold watch sell.
The price of the watch is marked up 45%
The store sells the watch for $2,610.00.
How much did the jewelry store pay for the watch?

Answers

Answer:

-2565

Step-by-step explanation:

because all you have to do is subtract the percentage and the actual price of the jewelry so yeah he's paid that much money so yeah

Aubree invested $500 into a mutual fund that paid 3% interest each year compounded annually. Find the value of the mutual fund in 12 years.

Answers

Answer:

FV= $712.88

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $500

Number of periods (n)= 12 years

Interest rate (i)= 3% compounded annually

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 500*(1.03^12)

FV= $712.88

Answer:

25%

Step-by-step explanation:

Because she divided it

which one doesn’t belong?

Answers

come to your house to pick it lowest to go with D

Answer:

All of them have different answers so gonna say D because its only one number  

Step-by-step explanation:

Hope this helps

sorry If its wrong

This is 8 grade math plZ help me I’m stuck

Answers

9514 1404 393

Answer:

  y = -3/4x -1

Step-by-step explanation:

The given equation is in the slope-intercept form, which lets you see that its slope is 4/3.

The slope of the perpendicular line will be the negative reciprocal of this:

  -3/4

Then the slope-intercept form equation will be ...

  y = -3/4x +b . . . . . . for some b

We can find the value of b that makes the line go through (4, -4) by using those values in this equation.

  -4 = -3/4(4) +b

  -4 +3 = b . . . . . . . . add 3

  -1 = b

Then the equation you're looking for is ...

  y = -3/4x -1

Im in need of help so please help[ :)))

Pentagon MVEDR is shown on the coordinate grid. Pentagon MVEDR is dilated with the origin as the center of dilation using the rule (x,y)→(23x, 23y) to create pentagon M'V'E'D'R'.

Which statement is true?


Pentagon M'V'E'D'R' is larger than pentagon MVEDR because the scale factor is greater than 1.

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Pentagon M'V'E'D'R' is larger than pentagon MVEDR because the scale factor is less than 1.

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is greater than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at M at negative 5 comma 2, v at negative 2 comma 3, e at 3 comma 3, d at 3 comma negative 3, r at negative 2 comma negative 3 Vertices labeled with letters.

Answers

Given:

Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule [tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex] to create pentagon M'V'E'D'R'.

To find:

The correct statement.

Solution:

If a figure dilated by factor k, then the rule of dilation is

[tex](x,y)\to (kx,ky)[/tex]

Here,

If k>1, then the image is larger than the original figure.

If k<1, then the image is smaller than the original figure.

We have,

[tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex]

Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is

[tex]k=\dfrac{2}{3}<1[/tex]

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Therefore, the correct option is B.

  Option (B). Pentagon M'V'E'D'R' is smaller than pentagon MVDER because the scale factor is less than 1.

Transformation of a point by dilation:   If a point (x, y) is dilated by a scale factor 'k' about the origin,

           image point formed will follow the rule,

           (x, y) → (kx, ky)

   If k > 1, image will be lager than the preimage.

            If k < 1, image will be smaller than the preimage.

Given in the question,

Rule for the transformation → [tex](x,y)\rightarrow (\frac{2}{3}x,\frac{2}{3}y)[/tex]

Here, [tex]k=\frac{2}{3}[/tex] which is less than 1.

      Therefore, image pentagon M'V'E'D'R' will be smaller than the original pentagon MVDER.

      Option (B) will be the correct option.

Learn more about the transformation of a figure here,

https://brainly.com/question/2298651?referrer=searchResults

-8 + 2/3x + 4 = 2x -5-x
PLEASE FIND WHAT X IS!!! Also, please show steps so I can understand!‍♀️
I will give brainiest to correct answer WITH STEPS!!!

Answers

Answer:

3

Step-by-step explanation:

Let's isolate x on one side.

2x - x - 2/3x = -8+5+4

1/3x=1

x=3

Answer:

X = 3

Step-by-step explanation:

-8 + 2/3x + 4 = 2x - 5 - x

2/3x - 2x - x = -5 + 8 - 4

-1/3x = -1

x = -1 * -3

x = 3

The compound inequality for the graph is _____? This compound inequality is true only if _______?

Answers

Answer:

Option (2)

Step-by-step explanation:

Arrow shown on the left hand side of the number line represents the inequality,

x < 5 [No sign of 'equal to' because arrow starts with a hollow circle]

Arrow given on the right hand side of the number line will represent,

x > 18

And these arrows represent the two solution areas of x, so the composite inequality that represents the graph will be,

x < 5 or x > 18

Option (2) will be the answer.

HELP I WILL MARK U BRAINEST what is (29/59)*(42/24)
btw / means divide

Answers

Answer:

0.86016949152

Step-by-step explanation:

This is the answer because 29 divided by 59 is 0.49152542372 and 42 divided by 24 is 1.75 and 0.49152542372 multiplied by 1.75 is 0.86016949152

Select all the measurements that are equivalent to 2.4 meters.

0.0024 km

0.024 mm

0.24 cm

240 cm

2,400 mm

Answers

Answer: (A)0.0024 Km (D) 240 cm, (E) 2,400 mm... Hope it helps, have a great day!

Step-by-step explanation:

The measurements that are equivalent to 2.4 meters are

0.0024km, 240cm and 2400mm.

The correct options are (A), (D) and (E).

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

A unit conversion expresses the same property as a different unit of measurement.

For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given,

measurement = 2.4 meters

1 meter = 1/1000 km

⇒ 2.4 meter = 2.4 /1000 = 0.0024 km

1 meter = 100 cm

⇒ 2.4 meters = 2.4×100 = 240 cm

1 meter = 1000 mm

⇒ 2.4 meters = 2.4×1000 = 2400 mm

Hence, 0.0024km, 240cm and 2400mm are the measurements that are equivalent to 2.4 meters.

Learn more about unit conversion here:

https://brainly.com/question/19420601

#SPJ2

f(x) = x + 6
x=-2, 0, and 5

Answers

Answer:

f(x)=x+6

-2+6

4

when x=0

0+6

6

when x=5

5+6

11

Step-by-step explanation:

One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources.

How many milligrams of potassium should you consume daily?

____ milligrams

Answers

1,360 is 80%
Plus ? 20%
Is 100%
So 80 is 4 times 20
So you can divide 1360 by 4 to find 20%
So 340mg is 20% of your daily value

So then add 340 plus 1360 to get total daily value

1700mg

Candace is considering purchasing a common stock that pays an annual dividend of $3.42 per share. If she purchases 400 shares for $53.18 per share, what would her annual income be from dividends?

Answers

Answer:

$1368

Step-by-step explanation:

Income from dividends = price per share x number of dividends purchased

$3.42 x 400 = $1368

Which statement is true about the interval from 40 to 50 minutes?

Answers

Answer:

A

Step-by-step explanation:

The answer to that questions is A

Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?

Answers

Answer:

The inches in height will be 18 inches.

Step-by-step explanation:

Okay so we know that the original width is 4 inches and she enlarged that to 12 inches

So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.

So, the width of the photograph grew "times 3" inches

Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches

So in simpler words 12 divided 4 = 3 x 6 = 18 inches

The inches in height will be 18 inches.

Jill has a square with a width of 12 inches, and a height of 18 inches.

Have a wonderful day!

please complete marking the first answer brainliest!

Answers

Answer:

$31.56

Step-by-step explanation:

$9.85 × 4 = $39.40

$39.40 25% off is $29.55

6.75% rounded to the nearest cent 6.80%

Sales tax is $2.01

$29.55 + $2.01 = $31.56

What is the rate of change for y=0.5x+9

Answers

Answer:

0.5

Step-by-step explanation:

The rate of change is the same as the slope. The equation y=0.5x+9 is written in slope intercept form, so 0.5 is the slope.

Answer:

Slope: 0.5

Y - Intercept: (0, 9)

x           y

-18        0

0           9

(pretend that's a graph)

Proportional: Ratios are equivalent.

Non-proportional: Ratos are not equivalent.

-18/ 0 is not equal to 0/9.

Undefined                  =0

Non-proportional

I need it done du the end of the day

Please please

Answers

Answer:

1). Options (B) and (E)

2). First train is going faster than the second train.

Step-by-step explanation:

1). Rate of 2 gallons of vinegar = $3

   Therefore, per gallon rate of vinegar = [tex]\frac{3}{2}[/tex] = $1.5

   In $3 quantity of vinegar chef will get = 2 gallons

   Therefore, quantity of vinegar chef will get in $1 = [tex]\frac{2}{3}[/tex] gallons

Option (A).

Price of 4 gallons = 4 × $1.5 = $6.00

False.

Option (B)

Price of 1 gallon = $1.50

True

Option (C)

Price of 30 gallons = 30 ×$1.5 = $45    

False.

Option (D)

In $2 number of gallons of vinegar chef will get = [tex]\frac{2}{3}\times 2=\frac{4}{3}[/tex] gallons

False

Option (E)

Number of gallons of vinegar chef gets in $1 = [tex]\frac{2}{3}[/tex]

True

Therefore, Options (B) and (E) are the correct.

2). Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

For first train,

Speed = [tex]\frac{30}{\frac{1}{3}}[/tex]

            = 90 miles per hour

For second train,

 Speed = [tex]\frac{20}{\frac{1}{2}}[/tex]

             = 40 miles per hour

 Since, 90 miles per hour > 40 miles per hour

 First train is going faster than the second train.

Form a union for the following sets.
K=2,3, 5, 8)
L={3, 5, 7)
(3,5)
( )
(2,3,5,7,8)
(2,7,8)

Answers

Answer:

The union of these sets is:

A U B = {2, 3, 5, 7, 8}

Step-by-step explanation:

Given the sets

K = {2, 3, 5, 8}L = {3, 5, 7}

The union of two sets K and L is the collection of elements that are in K or in L or in both K and L

The 'union' of two sets is denoted by the symbol 'U'.

Therefore, the union of these sets is:

A U B = {2, 3, 5, 7, 8}

Important Note: The duplicate or repeated elements of the sets are written only once.

What is the slope of -2,-5 and 18,-5

Answers

Answer:

Quadrant III and Quadrant I

Step-by-step explanation:

Answer:

Zero; 0

Step-by-step explanation:

(-5+5)/(18+2) = 0

Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies

Answers

Answer:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)

And the amount spent can be represented as:

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]

And

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

[tex]0.75c + 1.10h = 4.55[/tex]

Hence, the equations are:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Solving for c and h

Make c the subject in [tex]c + h = 5[/tex]

[tex]c = 5 - h[/tex]

Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]

[tex]0.75(5- h) + 1.10h = 4.55[/tex]

[tex]3.75- 0.75h + 1.10h = 4.55[/tex]

[tex]3.75 +0.35h = 4.55[/tex]

Collect Like Terms

[tex]0.35h = 4.55 - 3.75[/tex]

[tex]0.35h = 0.8[/tex]

Solve for h

[tex]h = 0.8/0.35[/tex]

[tex]h = 2.28571428571[/tex]

[tex]h =2[/tex] -- approximated

Recall that:

[tex]c = 5 - h[/tex]

[tex]c = 5 - 2[/tex]

[tex]c =3[/tex]

Write the zero that corresponds to the factor (x+5)

Answers

Answer:

0+5

Step-by-step explanation:

Hope this helps. :)

A boy saved over $5. His father gave him $2. The boy now had $y altogether. Write an inequality in y

Answers

Answer:

$7 total

Step-by-step explanation:

$5 + $2 = $7

What is the slope of the line?

Answers

The slope of what line or are you looking for detention
There is no picture.

|8|+|-7| its 15 right?​

Answers

Answer:

Yes. |8|+|-7| = 15

Step-by-step explanation:

the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15

2n + 3 = -3.2 what is the answer to n

Answers

Answer:n=-3.1

Step-by-step explanation:

2n + 3 = -3.2

Subtract 3 on both sides

2n+3-3=-3.2-3

2n=-6.2

Divide 2 on both sides

2n/2=-6.2/2

n=-3.1

Answer:

n= -3.1

Step-by-step explanation:

hope this helps have a nice day :)

Simplify by combining like terms. 7x^2 + 2x^3 - 5x^2 + 3x - 4x^3
(someone plz help)

Answers

Answer:

Step-by-step explanation:

2x^2-2x^3+3x

Answer:

Step-by-step explanation:

Add them together

-2[tex]X^3[/tex] + 2[tex]X^2[/tex] + 3x

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