Sherri hikes on the Pacific Coast trail. She plans to hike 3.72 miles. If she hikes at an average speed of 1.2 miles per hour, how long will she hike?

Answer:

-x + 9

Step-by-step explanation:

a)  

 8x + 2 + (-9x + 7) = 8x + 2 - 9x + 7

                             = 8x - 9x + 2 + 7

                             = -x + 9

b) We can combine like terms. Like terms have same variable with same power. Here 8x and (-9x) have same variable 'x'. so, combine the coefficients of the like terms which give (-1).

8x - 9x = -1

Combine the constants. 2 + 7= 9

Step-by-step explanation:

Area of the trapezoid = height x average of bases

                 area = 4 x (8+13)/2) = 42 in^2

Area of triangle  = 1/2 base * height   = 1/2 (13-8) * 4 = 10 in^2

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

Answer:

your ans please mark me brainiest

The graph of the function is attached

The amplitude and the period are 5 and 2π

From the question, we have the following parameters that can be used in our computation:

f(x) = 5cos(θ)

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

So, we have

A = 5

Period = 2π/1

Evaluate

A = 5

Period = 2π

Hence, the amplitude is 5 and the period is 2π

The graph of the function is attached

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Answer:

The scientific notation:11,200×10^1

1,120×10^2

112×10^3

11.2×10^4

1.12×10^5

0.112×10^6

Step-by-step explanation:

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\(yx=5\)

Explanation:

If \(y\) varies inversely as \(x\) then

         \(y\times x=k\) for some constant \(k\)

Since \(y = \frac{1}{8}\) when \(x=40\)

          \(\huge \text(\dfrac{1}{8}\huge \text)\times(40)=k\)

          \(\longrightarrow k=5\)

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Answer:

a) a +b= 13, ab= 40

b) length= 8m, width= 5m

Step-by-step explanation:

Perimeter of rectangle= 2(length +width)

Area of rectangle= length ×width

a) Perimeter= 26m

2(a +b)= 26

Divide both sides by 2:

a +b= 26 ÷2

a +b= 13 ----- (1)

Area= 40m²

ab= 40 ----- (2)

b) From (1): a= 13 -b ----- (3)

Substitute (3) into (2):

(13 -b)(b)= 40

Expand:

13b -b²= 40

b² -13b +40= 0

Factorise:

(b -5)(b -8)= 0

b -5= 0 or b -8= 0

b= 5 or b= 8

Substitute into (3):

a= 13 -5 or a= 13 -8

a= 8 or a= 5

Since the length is usually the longer side of the rectangle, the length and the width of the rectangular garden is 8m and 5m respectively.

Answer:

Step-by-step explanation:

Perimeter = 2length + 2 width

   2a + 2b = 26 m

Divide the equation by 2

\(\dfrac{2a}{2}+\dfrac{2b}{2}=\dfrac{26}{2}\\\\\)

a + b  = 13         --------------(I)

a = 13 -b

Area = length *width

a*b = 40 sq.m

ab = 40   ----------------(II)

Plugin a = 13 -b in the equation (II)

(13 - b)*b = 40

13*b - b*b = 40

13b - b² = 40

0 = 40 + b² - 13b

b² - 13b + 40 = 0

Sum = - 13

Product  = 40

Factors = (-8) , (-5)      {-8 + (-5) = -13 & (-5)*(-8) = 40}

b² - 8b - 5b + (-8)*(-5) = 40

b(b - 8) - 5(b - 8)= 0

( b - 8) (b - 5) = 0

b - 8 =0     ; b -5 =0

b= 8   ; b = 5

Length = 8 cm

Width = 5cm

The ratio of the given 240 kg to 6 kg will be 40:1.

What is Ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

the ratio 240 kg to 6 kg.

It will be simple 240/6 :: 40 :1

Hence the ratio of the given data will be 40:1

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Answer:

1, 3

.4, 0

3, 12

Step-by-step explanation:

Answer:

(1,3) & (2/5,0) & (3,13)

Step-by-step explanation:

So, we substitute the values we know in.

For the first one:

y=5x-2

y=5-2

y=3

For the second one:

y=5x-2

0=5x-2

5x=2

x=2/5

For the third one:

y=5x-2

y=15-2

y=13

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Answer:

Y= 17.5

Step-by-step explanation:

140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5

Answer:

\(\frac{8}{9}\) is water

Step-by-step explanation:

450 ml of squash with 50 ml of cordial , then

amount of water = 450 - 50 = 400 ml

Fraction of water = \(\frac{400}{450}\) ( divide numerator/ denominator by 50 )

fraction of water = \(\frac{8}{9}\)

Step-by-step explanation:

it is the other way around based on the description.

450 ml are made by mixing (diluting) 50 ml with water.

that means that of the 450 ml 50 ml are cordial, and the rest (450-50 = 400 ml) is water.

therefore, 1/9 is the fraction of cordial, but 8/9 is the fraction of water.

50/450 = 1/9

400/450 = 8/9

Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

a. Graphing f(x) = e^x

Answer: C.

b. f(1)

Answer: f(1) = 2.718

f(-3)

Answer: f( -3 ) = 0.050

f(5)

Answer: f(5) = 148.413

c. Asymptote horizontal of the graph is y = 0

Answer: y = 0 or y-axis

d.According to the graph the intersection with the y-axis is at the point (0,1).

Answer: (0,1)

Answer:

the answer was 7.71

Step-by-step explanation:

hope this helps

A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 54 by the denominator 7 (which you can enter in any calculator):

54 (numerator) ÷ 7 (denominator) = 7.71

And finally, you get 7.71 as your answer when you convert 7 5/7 (or 54/7) to a decimal.

Answer:

7.71

Step-by-step explanation:

For the x=4y, 2y is 25 percent of 2x.

Percentage is a measurement to find value of given number out of hundred.

Given equation is,

x=4y         (1)

To determine percent of 2x in terms of 2y,

multiply the equation (1) with 2.

2x=8y,

⇒1/4(2x)=2y

⇒2y=1/4(2x)×100%

⇒2y=25% of 2x

Here, 2y is 25% of 2x

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Answer:

this answer could help you...

Step-by-step explanation:

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The speed where Trish is driving is 46 miles per hour.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given the table where a number of hours and miles are shown,

The unit rate of first data = 69/1.5 = 46

the unit rate of second data = 161/3.5 = 46

And so on

So, 46 will be constant of the function

It means the function will be y = 46x and the rate of the function will be y/x = 46.

Hence "The speed where Trish is driving is 46 miles per hour".

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Answer:

2 million

Step-by-step explanation:

1 million + 1 million = 2 million (i think)

ur very welcome

The total number of hours that Irina worked in August and September is 425 hours

An equation is an expression that shows the relationship between two or more numbers and variables.

Irina works 265 hours in August and 160 hours in September. The total number of hours that Irina worked in August and September is the sum of the hours worked for each month. Hence:

Total number of hours = number of hours worked in August + number of hours worked in September

Substituting values:

Total number of hours = 265 + 160 = 425 hours

The total number of hours that Irina worked is 425 hours

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Answer:

C. There are no factors of 3 that add up to -15

Step-by-step explanation:

N/A

The situation can be sketched in the following diagram.

The angles are in the following order

68 > 67 > 45.

Here are some facts about the relationship between angles and triangles:

The shortest side is always opposite the smallest angle.

The longest side is always opposite the largest angle.

Hence, the smallest side is that of the Clarinet and the longest side is that of the trumpet; therefore, the sides ordered from least to greatest are

Clarinet, Flute, Trumpet.

Answer

400% Probability Of Sarah Getting Picked !

Step-by-step explanation:

So first 2000 x 19% = 380%

We can rewrite 121 as a product of its primes like this:

So, we have the following:

Therefore, the square root of 121 is 11

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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the first term is −11

the last term is −45,056

the common ratio is −4

the formula for geometric series is

where

r = -4

a1 = -11

n = 7

therefore,

let's simplify

Thus, the answer is -36047

Answer:

i believe its $0.31

Step-by-step explanation:

If I invest $2000 at 6% interest compounded monthly, it will take 11.58 years by the account to double in value.

What is compound interest?

The practice of adding interest to the principal amount of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It happens when interest is reinvested, added to the lent capital rather than paid out, or required to be paid by the borrower, resulting in interest being created the next period on the principal amount plus any accrued interest. Compound interest is a prominent concept in finance and economics.

The initial investment of $2000 at 6% compounded monthly.

Since, the interest rate of 6% is compounding monthly, then the effective annual interest rate will be

= (1+)−1i = (1+rm)m−1

Here, r = interest rate in decimals

= (1+0.0612)12−1i = (1+0.0612)12−1

= 0.061678i = 0.061678

= ×100 = 6.1678%

Now, we are using Rule 72 to calculate the doubling time

Time to double the initial amount = 72 /effective annual interest rate

Time to double the initial amount = 11.58 years

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Answer: The sale price of the dress is $45.

Step-by-step explanation:

To find the discount rate, we need to calculate the amount of the discount first. Since the dress is on sale for 25% off, the discount amount is:

Discount = 25% x $60 = $15

The discount rate is then calculated by dividing the discount amount by the original price of the dress and multiplying by 100:

Discount rate = ($15 / $60) x 100% = 25%

To find the sale price of the dress, we need to subtract the discount amount from the original price:

Sale price = $60 - $15 = $45

Therefore, the sale price of the dress is $45.