A person hikes 4 miles in 2.5 hours. Find the unit rate in miles per hour.


Then find the unit rate in hours per mile.

Answer:

x(3)+8

x= the sum of a number

This should be right, sorry if it isn't

Answer:

Area of the square is 2916 [tex]m^{2}[/tex].

Step-by-step explanation:

Let the breadth of the rectangle be represented by w. So that;

length of rectangle = 5w

Area of rectangle = length x breadth

                             = 5w x w

1620 = 5[tex]w^{2}[/tex]

divide through by 5 to have,

[tex]w^{2}[/tex] = 324

w = [tex]\sqrt{324}[/tex]

   = 18

Thus, the breadth of the rectangle is 18 m.

length = 5 w = 5 x 18

           = 90 m

The length of the rectangle is 90 m.

Perimeter of the rectangle = 2(l + w)

                                  = 2( 90 + 18)

                                  = 216 m

Perimeter of a square = 4l

where l is the length of its side.

Given that the perimeters of the rectangle and square are equal, then;

4l = 216

l = [tex]\frac{216}{4}[/tex]

 = 54

length of the side of square is 54 m.

Therefore,

Area of square = [tex]l^{2}[/tex]

                         = [tex]54^{2}[/tex]

                        = 2916

Area of the square whose perimeter is equal to that of the rectangle is 2916 [tex]m^{2}[/tex].

Answer:

N=9

Step-by-step explanation:

7n+8=71

7n=71-8

7n=63

N=63/7

N=9

Answer:

5:7

Step-by-step explanation:

Answer:

Velocity of light is ~3 x 10^5 km/sec. Time taken for light to reach the earth is ~ (1.496 x 10^8)/(3 x 10^5)sec = 1496/3 sec = 498.3sec = 8min 18.3 sec. 1.496X10*8 * .00257 = 384,472 km. Circumference of Earth = 6.28*6378=40,054 km. 384472/40054=9.6 = trips around earth's equator. 1.496 * 108 kilometers = 161,568 meters. D. 0.00000001496

Step-by-step explanation:

Required information The Foundational 15 [LO8-2, LO8-3, LO8-4, LO8-5, LO8-7, LO8-9, LO8-10]

The expression of the Earth 1.496 x 10^8 km  in standard form is 149,600,000

Standard form is a simple way of expressing very large numbers into small sizes for easier calculation.

The given information is already in its standard form as 1.496 × 10⁸ km.

We can express it in its ordinary form by shifting the decimal place to the right side in terms of the power with which it is being raised.

Here:

1.496 × 10⁸ km = 149,600,000 km

Learn more about standard form here:

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Hey there! :)

3t - 18 = 4(-3 - 43t)

Let's start on the right side of the equal sign by multiplying "4" with everything inside of the parenthesis. Keep in mind that a negative times a negative is a positive & a negative times a positive is a negative.

Let's put this all together:

3t - 18 = -12 - 172t

Now, we need to isolate "t." We can do this by adding 18 to both sides along with adding "172t" to both sides.

3t - 18 + 18 + 172t = -12 - 172t + 172t + 18

Simplify.

3t + 172t = -12 + 18

Simplify - add like terms!

Let's put this all together:

175t = 6

Divide both sides by 175.

175t ÷ 175 = 6 ÷ 175

Simplify.

Hope this helped! :)

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

3t−18=4(−3− 43 t)   Equation/Question

Step 2

3t-18=4(−3− 43 t)   Remove parenthesis

3t-18=-172t-12

Step 3

3t-18=-172t-12  Add 172t

175t-18=-12

Step 4

175t-18=-12   Add 18 to sides

175t=6

Step 5

175t=6   Divide sides by 175

[tex]\frac{175t}{175} =\frac{6}{175}[/tex]

answer

t=[tex]\frac{6}{175}[/tex]

Hope this helps

Answer:

70 m/s = 252 km/hr

1 m/s = 3.6 km/hr

Answer:

16 $10s & 1 $5

Step-by-step explanation:

16 × 10 = 160

5 × 1 = 5

Answer:

300 billion

Step-by-step explanation:

Answer:

119°

Step-by-step explanation:

[tex] m\angle BAD = 62\degree + 57\degree [/tex]

(Vertical angles)

[tex] m\angle BAD = 119\degree[/tex]

Answer:

20%

Step-by-step explanation:

3/15 x 100

= 100/5

= 20% Ans

Hope I made it in time

Answer: 1 1/2 or 1.5 cups of sugar

Step-by-step explanation:

4 cups of flour get 6 cups of flour

1 cup of flour will be 6 ÷ 4

6 ÷ 4 = 1.5

1 cup of flour gets 1.5 cups of sugar

Hope this helped!

Answer:

Step-by-step explanation:

Let the total points be x

Mark earned 90% of x which is 108 points:

Total points were 120

Answer:

No

Step-by-step explanation:

Because 50+30 is not 180

Answer:

(x - 5)² + 2

Step-by-step explanation:

x²-10x+27 = (x²-10x+25) + 2 = (x - 5)² + 2

Answer:

The slope of the line = m = 2

Step-by-step explanation:

Given

The points

To determine:

The slope of this graph

Determining the slope between (0, 0) and (1, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 0] / [1 - 0]

               = 2 / 1  

Thus, the slope of the line = m = 2

Answer:

i think it 77 hope this helps

Answer:

x = - 4

Step-by-step explanation:

First do distributive property

5x-15=10x+5

then add 15

5x=10x+20

-10x

-5x=20

divide 5

x=-4

Answer:

x = -4

Step-by-step explanation:

5(x−3) = 10x+5

5x−15 = 10x+5 (Simply both sides of the equation)

−5x−15 = 5 (Subtract 10x from both sides)

−5x = 20 (Add 15 to both sides)

−5x /−5  =  20 /−5  (Divide both sides by -5.)

x = -4

Answer:

45440

Step-by-step explanation:

32,000*6*.07=13440

13440+32,000+45,440

The amount we have to pay at the end of the 6month period will be $33,120. The rate of interest on the loan is given as per annum and therefore; the interest is to be calculated for 6 months.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Calculation of settlement amount of loan:

Given:

Principle= $32,000

Rate= 7%

Tenure= 6 months

Interest is calculated from the following formula;

Interest= Principle x rate x tenure

Therefore the interest for the loan will be;

Interest = $32,000 x 7 x 6 months

           = 32,000 x 7/100 x 6/12

           = $1,120

The final payment for the loan will be the combination of principal and interest.

Therefore final payment = $32,000 +$1,120

                                         = $33,120

Learn more about the simple interest here;

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#SPJ6

Answer:

20.28571428571429

Step-by-step explanation:

Answer:

2, 4 6 and 8

Step-by-step explanation:

Given the range of a function expressed as ƒ(x) = -6x + 11 where x are the values of the domain

Given the follwing range f(x) =  {–37, –25, –13, –1}, we are to find the corresponding value of x;

-37 = -6x + 11

-37 - 11 = -6x

-48 = -6x

x = -48/-6

x = 8

if f(x) = -25

-25 = -6x + 11

-6x = -25-11

-6x = -36

x = -36/-6

x = 6

if f(x) = -13

-13 = -6x + 11

-6x = -13-11

-6x = -24

x = -24/-6

x = 4

if f(x) = -1

-1 = -6x + 11

-6x = -1-11

-6x = -12

x = -12/-6

x = 2

Hence required domain values are 2, 4 6 and 8

Answer:

In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.

Answer:

C.

Step-by-step explanation:

You'll find that both equal 3x+3. Have a great day!

Answer: C

Step-by-step explanation:

x + x + x + 1 + 1 + 1

Combine like terms

3x + 3

3 (x + 1)

Distribute

3x + 3

Answer: 17/60

Step-by-step explanation:

Suppose that whe have N fishes.

We know that 1/5 of these N fishes are guppies.

We also know that 1/12 of these N fishes are goldfish.

Now, what is the fraction of guppies and goldfish together?

We only need to add the fractions:

1/5 + 1/12

This may be hard because the denominators are different, then the first step will be to write both fractions with the same denominator.

We know that:

5*12 = 60

Then we can write:

1/5 = (12/12)*(1/5) = 12/(5*12) = 12/60

and

1/12 = (5/5)*(1/12) = 5/(5*12) = 5/60

Then our previous sum:

1/5 + 1/12

can be written as:

12/60 + 5/60

and this is easy to solve:

12/60 + 5/60 = (12 + 5)/60 = 17/60

This is the fraction of the fish that are guppies or goldfish.

Answer:

When subtracting expressions, we are applying the distributive property, where a multiple of an expression in brackets is applied to to each term.

e.g.

a(x + y) = ax + ay

In the case of subtracting an expression, we're doing the same thing, but in the example above, "a" would be equal to -1.

(a + b) - (c + d) ≡ (a + b) + -1(c + d)

And so the negative one is distributed across the terms within the brackets.

1. x + 20

2. 0

3. 2x - 8

4. 95x + 10

5. -9x - 6

6. 4x + y - 5

7. -x + 6y + 5

8. x + y - 15

9. x + 4y + 4

• When working with variables and numbers, you have to put the variables first (in alphabetical order) and then the numbers.

• To evaluate an algebraic expression, we find the value of the expression when the variable is replaced by a given number.

• To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

• When we are not given a number for the variable in the expression, we have to group like-terms.

1. 4x + 12 - 3x + 8

2. -8x + 1 + 2x - 1 + 6x

3. 4x - 3 - 2x - 5

4. 100x + 5 - 5x + 5

5. -4x - 4 - 2 - 5x

6. 2x - 1 + 2x - 4 + y

7. 5y - x + 2y - y + 5

8. -15 + 3y - 3x - 2y + 4x

9. 4 - 3y + 3x - 2x - y

Hope I helped you, if I did can you please mark me the Brainliest?

Answer:

I cant do the exact math with pi right now but the diameter of the largest circle is 18

Step-by-step explanation:

one of them is not the radius because it doesn't go off the very middle point in the circle, so you should add