A map has a scale of 4.5 inches = 36 kilometers. If the distance between two cities is 8.5 inches, what is the actual distance between the cities

Answer: Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.

Step-by-step explanation:

Length of Trail A = [tex]6\dfrac34[/tex] miles

= [tex]\dfrac{24+3}{4}[/tex]  miles = [tex]\dfrac{27}{4}[/tex] miles.

Length of Trail B = [tex]8\dfrac12[/tex] miles

= [tex]\dfrac{16+1}{2}[/tex] miles = [tex]\dfrac{17}{2}[/tex] miles.

Trial B is longer then Trail A by [tex]\dfrac{17}{2}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{34}{4}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{7}{4}[/tex] miles

[tex]=1\dfrac{3}{4}[/tex] miles

Hence, Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.

Answer:

He was there for three hours

Step-by-step explanation:

$25 times 3=$75

$50+$75=$125

Answer:

The width of the rectangle given is equal to 3m.

Step-by-step explanation:

In order to solve this question we need to know that the areas of the rectangle is equal to [tex]A_{rectangle} = (l)(w)[/tex], where "l" is length and "w" is width. So know in order to solve this question we would have to find out the unknown width by using area and the length of the triangle. Based on the formula I wrote down earlier we can understand the following.....

[tex]A_{rectangle} = (l)(w)[/tex]

[tex]\frac{A_{rectangle} }{l} = \frac{(l)(w)}{l}[/tex]

[tex]w = \frac{A_{rectangle} }{l}[/tex]

Just now we found out the formula that we can use to solve for the width when we know the area and the length of the rectangle. Now in order to get the answer we just have to plug in the values we know, and we get........

[tex]w = \frac{A_{rectangle} }{l}[/tex]

[tex]w = \frac{11m^{2} }{(3\frac{2}{3}m )}[/tex]

[tex]w = 3m[/tex]

Answer:

216g of margarine

Step-by-step explanation:

From the above question:

12 small cakes required 108g of margarine

If he would be making 24 of the small cakes, hence, that would be calculated as:

12 small cakes = 108g of margarine

24 small cakes = x

Cross Multiply

12 × x = 24 × 108g

x = 24 × 108g/12

x = 216g of margarine

Therefore, he would need 216g of margarine to make 24 of small cakes

Answer:

12f + 9.8g + 5.7 centimeters

Step-by-step explanation:

Side A = (9.8f-8.4) centimeters

Side B = (2.2f+4.9) centimeters

Side C = (9.8g+9.2) centimeters.

Perimeter of a triangle = Side A + Side B + Side C

= (9.8f-8.4) + (2.2f+4.9) + (9.8g+9.2)

= 9.8f - 8.4 + 2.2f + 4.9 + 9.8g + 9.2

Collect like terms

= 9.8f + 2.2f + 9.8g - 8.4 + 4.9 + 9.2

= 12f + 9.8g + 5.7 centimeters

Therefore, the expression which represents the perimeter of the triangle 12f + 9.8g + 5.7 centimeters

Answer:

Option A

Step-by-step explanation:

It's a point on the function's graph

Answer:

Answer:

Samantha's age = 27 years

Step-by-step explanation:

As Samantha is one year less than twice her brother Jack’s age.

As the sum of their ages is 41.

Thus, the equation become

x+2x-1 = 41

3x-1 = 41

3x = 42

Dividing both sides by 3

x = 14

It indicates that Jack's age = 14 years

Therefore,

Samantha's age = 2x-1 = 2(14)-1 = 27 years

Answer:

£3591

Step-by-step explanation:

Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.

The formula for Depreciation rate =

P = Po × e^-rt

P = Amount after depreciation

Po = Initial amount = £ 3600

r = depreciation rate = 5% = 0.05

t = time in years = 2

Hence:

P = £3600 × e ^ -0.05 × 2

P =£ 3600 × e-0.0025

P = £ 3591.0112406

Approximately = £3591

p/5 + 6 = 10

=> p/5 = 10-6

=> p/5 = 4

=> p = 5×4

=> p = 20

C. 20

Answer:

16.4x + 13.6

Step-by-step explanation:

Equivalent Expressions

Algebraic expressions can be given in different forms when applying properties of the basic operations.

The given expression is:

2(1.7x + 3.3) + 5(2.6x + 1.4)

Multiplying both parentheses by the outer factor:

3.4x + 6.6 + 13x + 7

Combining like terms:

16.4x + 13.6

The original and the final expressions are equivalent because they produce the same results

Answer:

cross multiply to get 12

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

18 x 2 is 36 divided by 3 is 12

you can simplify 18/12 by 6 to get 3/2

Answer:

Step-by-step explanation:

All that making a list does is creates a visible step by step instruction manual on what needs to be done in order to solve the math problem that needs to be solved. Lists are extremely helpful and can be used in every single math problem, for example....

15x - 25 = 275

See making a list isolates the problem into an easy to read instruction manual.

Answer:

C because 18-6=12

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

all you do is subtract lol

Answer & Step-by-step explanation:

First write the line equation.

y=mx+b is the format where m=slope, b= y intercept

y=-2x-3

plug each x in to see if they match the point

y= -2(-2) -3 = -4 - 3 = -7 ; the point is (-2,0) so NO

y= -2(-1.5) -3= 3-3 = 0; point is (-1.5, 0) so YES it matches

y= -2(-6) -3 = 12-3 = 0; point matches so YES

y= -2(2) -3 = -4-3 = -7; point is (2, -3) so NO

y = -2(3) -3 = -6-3= -9; point matches so YES

y= -2(-4)-3 = 8-3 = 5; point is (-4, 4) so NO

(-1.5, 0) & (-6, 9) & (3, -9)

please give thanks by clicking the heart button :)

Answer:

the answers are B C E

Step-by-step explanation:

-1,5, 0

-6, 9

3, -9

The perimeter of a circle is equal to 2πR where R is the radius if we want the perimeter of the semicircle we divide by 2 and we get

P=πR=22π=22*3.14=69.08cm

Answer:

The slope of WX and WY

Step-by-step explanation:

For us to have a rectangle, the angles at the edges equal 90

What this mean is that the width and the length are at 90 degrees

Hence, we can say that they are perpendicular to one another

Thus, we can calculate the slopes of both to drive home our point

Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle

Answer:

48.69

Step-by-step explanation:

Step-by-step explanation:

30% off $53.50

= 70% of $53.50

= $53.50 * (70/100) = $37.45.

Answer:

The answer is 2x + 8

Step-by-step explanation:

Answer:

Hope this may helps you

Answer:

Column A:

You calculate slope doing y2-y1/x2-x1

So -10-1/5-(-2)= -11/7

Column B:

Rearrange the equation to get y

-3x+2y=7

2y=3x+7

y= 1.5x + 7

Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.

Rate positively and give brainlist

Answer:

D

Step-by-step explanation:

In the original expression =  37.4 - 54.9 = -17.5

So, we have to solve all the equations but 1 of them has to equal to -17.5

A) -54.9 + (-37.4) = -92.3

   Remove parentheses

   = -54.9 - 37.4

Subtract the numbers

    -92.3

B) 54.9 - 37.4 = 17.5

Since 54.9 is greater than 37.4 just subtract normally

 4   14

  5  4.   9                < ------- Line up the decimal points like this

-  3  7.   4                <---------  Subtract the decimals

-----------------

   1   7   .    5       <---------- This is the final answer to B.                    

C)  37.4 - (- 54.9) = 92.3

   Change the sign to addition

        =37.4 + 54.9

  Add the numbers normally

  54.9

+ 37. 4

--------------

  92.3

D)  37.4 + (-54.9) = -17.5

   Change the sign to subtraction

      =    37.4 - 54.9

Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)

54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed  37.4 - 54.9 so in this case your answer should be

- 17.5)

37.4 - 54.9 = -17.5

Your final answer is D because it matches 37.4 - 54.9.

Hope this helps!

Answer: -54.9+(-37.4)

Step-by-step explanation:

Your final answer is D because it matches 37.4 - 54.9.

Answer:

B.)Slope

In the equation y = mx + b for a straight line, the number m is called the slope of the line.

Answer:

564 people

Step-by-step explanation:

Total cups of yogurt to share = 423 cups

Each guests get = 3/4 of a cup per serving

How many people can Clancy invite to his party if he needs a serving of yogurt as well?

Number of people Clancy can invite to his party = Total cups of yogurt to share / servings per guests

= 423 cups ÷ 3/4 cups

= 423 × 4/3

= 141 × 4

= 564

Number of people Clancy can invite to his party = 564 people

Answer:

f(x + h) = -4x² - 4h² - 8hx + 3x + 3h

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4x²

f(x + h) is x = x + h

Step 2: Evaluate

Answer:

x = 4.85 feet

Step-by-step explanation:

Original area of the petting farm = 10 × 14

= 140 square feet

.

New area = double the original area = 140 * 2

= 280 square feet

New area of the petting farm =

Width × length

280 = (10+x) × (14+x)

280 = 140 + 10x + 14x + x²

280 - 140 = x² + 24x

140 = x² + 24x

x² + 24x - 140 = 0

Solve the quadratic equation

x = -b ± √b² - 4ac / 2a

= -24 ± √(24)² - 4*1*-140 / 2*1

= -24 ± √ 576 - (-560) / 2

= -24 ± √ 576 + 560 / 2

= -24 ± √1,136 / 2

= -24 ± 4√71 / 2

= -24/2 ± 4√71/2

= -12 ± 2√71

x = 4.8523 or x = -28.8583

x can not be a negative value

Therefore,

x = 4.85 feet to the nearest hundredth