Find the dimensions of the rectangle if the length is (x+8), the width is (x+3) and the area is 234ft^2

Answer:

2 1/3 cups for each hiker

Step-by-step explanation:

8bags x 3.5 cups in each bag =28 cups in total
28 cups shared among 12 hikers = 28/12 = 2 1/3 cups for each hiker

Answer:

a = -3, b = 1

Step-by-step explanation:

1. Plug in the given values into the equations:

a(-1) - b(2) = 1
a(2) + b(-1) = -7

2. Isolate a in the first equation:

a(-1) - b(2) = 1   =   a · -1 - b · 2 = 1

-a - 2b = 1

-a -2b+2b = 1+2b

-a = 1 + 2b

[tex]\frac{-a}{-1} =\frac{1}{-1} +\frac{2b}{-1}[/tex]

a = -1 - 2b

3. Substitute "a = -1 - 2b" in for a in the second equation:

(-1 - 2b)2 + b(-1) = -7

4. Simplify:

-2 - 4b + b(-1) = -7

-2 - 4b -b = -7

-2 -5b = -7

5. Isolate for b:

-2+2 - 5b = -7+2

-5b = -5

[tex]\frac{-5b}{-5} =\frac{-5}{-5}[/tex]

b = 1

6. Substitute the b value into an equation to solve for a:

a = -1 -2 · 1

a = -3 · 1

a = -3

hope this helps!

3x + 27 =180

-27

3x = 153

÷3

x = 51

a=142

(vertically opposite angles are equal)

Reflex angles adds up to 360

360 - (142x2) = 76

76/2 = 38

t & c = 38

Hope this helps!

Answer:

Here you go :) if you need anything tell me!

Answer:

43

Step-by-step explanation:

First, you have to find the value inside the parentheses. That would be 8-4, which is 4.

Now, use the rule of Pedmas, or Bedmas, whatever you prefer. That is Parentheses, exponents, multiplication, addition, subtraction. So, now you have the equation:

27 + 4 x 4.

You would multiply before addition, as shown above, so you would get:

27 + 16

which would equal:

43.

Answer:

[tex]\ln z + 8\ln (z-1)[/tex]

Step-by-step explanation:

[tex]\ln z(z-1)^8[/tex]

Using the product rule: [tex]\ln(xy)=\ln x + \ln y[/tex]

[tex]\implies \ln z + \ln (z-1)^8[/tex]

Using the power rule:  [tex]\ln x^n=n \ln x[/tex]

[tex]\implies \ln z + 8\ln (z-1)[/tex]

[tex]\\ \rm\Rrightarrow lnz(z-1)^8[/tex]

[tex]\\ \rm\Rrightarrow lnz+ln(z-1)^8[/tex]

[tex]\\ \rm\Rrightarrow lnz+8ln(z-1)[/tex]

Answer:

4

Step-by-step explanation:

Hey there!

To figure this out you need to calculate 4/16

that is 1/4

which is the size of one of the 1/4 circles

1/4 is equal to 4/16 which means the answer is 4

The time taken to have a total of $21,000 is 36.5 years.

To calculate the time it takes to reach $21,000 with a simple annual interest rate, we can use the formula for simple interest:

Interest = Principal × Rate × Time

Where:

Interest is the additional amount earned on the initial investment (in this case, the difference between $21,000 and $8,600),

Principal is the initial investment ($8,600),

Rate is the annual interest rate (3.95% expressed as 0.0395),

and Time is the unknown variable we want to find.

We can rearrange the formula to solve for Time:

Time = Interest / (Principal × Rate)

Let's plug in the values:

Interest = $21,000 - $8,600 = $12,400

Principal = $8,600

Rate = 0.0395

Time = $12,400 / ($8,600 × 0.0395) ≈ 36.5

So, it will take approximately 36.5 years to have a total of $21,000.

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The amount of cherrries that Dahlia has in stock at the end of the day is 69.

The first step is to determine the number of cherries that were remaining after 19 were sold.

Cherries remaining = 22 - 19 = 3

Number of cherries in the shipment == 22 x 3 = 66

Total number of cherries at the end of the day = 66 + 3 = 69

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Answer:

~ 3.473

Step-by-step explanation:

Assuming that theta means the middle angle at the origin, you are simply finding the sine of -10, and then multiplying it by -20.  Using a scientific calculator, sin -10 comes out to about -0.174.  Multiplying this by -20 gives us about 3.473.

Hope this helps!

Answer:

a) 5.85

b) 0.0004

Step-by-step explanation:

[tex]a) \: \: \sqrt{ \frac{ {4.5}^{2} + {10.8}^{2} }{4} } \\ \\ = \sqrt{ \frac{ 20.25 + 116.64 }{4} } \\ \\ = \sqrt{ \frac{136.89}{4} } \\ \\ = \sqrt{34.2225} \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 \times {10}^{5} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20\times {10}^{4} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20 + 5) \times {10}^{4} } \\ \\ = \frac{1}{25 \times {10}^{4} } \\ \\ = 0.04 \times {10}^{ - 4} \\ \\ = 0.0004[/tex]

Charlene has a monthly salary of $3,410. with her present budget, the corrected net income is $113.70

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Charlene has a monthly salary = $3,410.

Charlene has a net income that is 7% of her monthly salary.

The computation of the new net income is shown below

= Monthly salary × net income percentage - reduced amount of net income per month

= $3,410 × 7% - $125

= $113.70

Hence, the corrected net income is $113.70

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Answer:

2/2

Step-by-step explanation:

all the number are either improper or mixed number etc.

2/2= 1

and u wanted to know which equals one and that is 2/2 because it is 1 whole.

Answer:

D

Step-by-step explanation:

More time is needed for current academic lessons and special projects.

Answer:

it will take 4 seconds

it takes the puppy 25 seconds and the cat 20 seconds

20+25= 45

180 divide by 45 = 4 seconds your answer is 4 seconds

your welcome!

Answer:

The volume is 4,608.

Step-by-step explanation:

To solve for volume, multiply the length (l), width (w), and height (h) values together. So, 24 * 12 * 16 = 4,608. Therefore, the volume is 4,608. Good luck!

Answer:y=2.5x

Step-by-step explanation:

We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.

To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

m= Slope (rate of change).

=Difference between two y-coordinates.

=Difference between corresponding x-coordinates of the y-coordinates.    

Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,  

The slope of our given line is 2.5.  

Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: , where m=slope and b = y-intercept (initial value).

Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,

Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,

Therefore, the equation  will give the number of servings y in x pints.

By using properties for exponents, we will see that the equivalent expression is:

[tex]2x^{-4}y^6[/tex]

Here you need to remember the property:

[tex]a^n/a^m = a^{n - m}[/tex]

We have the expression:

[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}}[/tex]

We can separate the fraction to:

[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}} = \frac{-4}{-2}*\frac{x^{-3}}{x} *\frac{y^4}{y^{-2}}[/tex]

Now we can simplify by using the above relation, we will get:

[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}} = \frac{-4}{-2}*\frac{x^{-3}}{x} *\frac{y^4}{y^{-2}} = 2*x^{-3-1}*y^{4 - (2)} = 2*x^{-4}*y^6[/tex]

So the correct option is the last one.

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[tex]\\ \rm\Rrightarrow (-4x^{-3}y^4)\div(-2xy^{-2})[/tex]

[tex]\\ \rm\Rrightarrow 2x^{-3-1}y^{4+2}[/tex]

[tex]\\ \rm\Rrightarrow 2x^{-4}y^6[/tex]

Option D

Answer:

undefined

Step-by-step explanation:

Since, the terminal point of  is (x,y), thus

[tex]tan[/tex] Ø [tex]\frac{y}{x}[/tex]

x-coordinate is 1 and the y-coordinate is 0. Using [tex]tan0=\frac{y}{x}[/tex] we get:

[tex]tan[/tex] ∅ [tex]=\frac{1}{0}[/tex]

[tex]tan[/tex] ∅ [tex]=0[/tex]

Therefore, tan Ø is undefined.

Or we can just do 1/0  which is undefined

~Lenvy~

Answer:

7,986

Step-by-step explanation:

Picture that shows steps and how to do it with formula!!

Hope this helped!!!

~ Kaitlyn

Answer:

the answer is 12.61 so that means it's c

Answer:

Step-by-step explanation:

f(x) = (-2)^x

x = 3 from the left

f(3) = (-2) ^3

f(3) = (-2) *  (-2) *  (-2)

f(3) = - 8

You have to realize that you are working with an exponential equation (that is x is a power, not a variable. A variable equation would be written as y = 3x

Answer: W is now at (2,-3)

Step-by-step explanation: flip by the x-axis to turn (-2,3) to (-2,-3) then flip it on the y-axis to turn (-2,-3) to (2,-3).

The property of addition that is shown in the equation (a+bi)+(0+0i)=(a+bi) is the identity property of addition.

The identity property of addition states that when any number and 0 are added, the result will be the number itself.

The property of addition that is shown in the equation [tex](a+bi)+(0+0i)=(a+bi)[/tex] is the identity property of addition.

Learn more about Identity property of Addition:

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Answer:

C Identity property

Step-by-step explanation:

Edge 2022

Your answer is 4.

Explanation:--

The Mean of the Data set is ---

2+5+1+7+6+4+3

7

= 4.

Hence, Mean of the data set is 4.

Answer:

To find the mean, you must add all the numbers and divide it by the amount of numbers in the set.

2 + 5 + 1 + 7 + 6 + 4 + 3
= 28
28 divided by 7 = 4

The answer is 4

Step-by-step explanation:

The arithmetic mean is the simple average, or sum of a series of numbers divided by the count of that series of numbers.

In the world of finance, the arithmetic mean is not usually an appropriate method for calculating an average, especially when a single outlier can skew the mean by a large amount.

Other averages used more commonly in finance include the geometric and harmonic mean.

Answer:

The final cost before sales tax is $475.

Step-by-step explanation:

you add the 30% to the 20% and that equals 50% off. Which is half off so you have to divide $950 by 2. That equals $475. Easy :)

Answer:

7/8

Step-by-step explanation:

7/8 is a larger fraction than 4/5, so the decimal must be larger. You can check this using a calculator, and dividing the numbers.

Answer:

  C.  0.625

Step-by-step explanation:

You want to know if the given decimals are correctly written as the given fractions.

It is generally easier to find the decimal equivalent of a fraction, but some calculators can go the other way, as well.

The decimal 0.625 corresponds to the fraction 5/8, not 7/8.

0.625 was converted incorrectly.

__

Additional comment

You can factor out 125 from numerator and denominator of the fraction equivalent of 0.625:

  [tex]0.625=\dfrac{625}{1000}=\dfrac{5(125)}{8(125)}=\dfrac{5}{8}[/tex]

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