The difference between the areas of the figures is less than 4.

An absolute value inequality that represents this situation is ___

The solution of the inequality is ___

Thank you!

A line in point slope form is y = mx + b

m = the slope

b = y-intercept

So far our line looks like: y = -3/5x + b

Let's plug -5 into x and -3 into y to solve for b

-3 = -3/5(-5) + b

Let's multiply -5 by -3/5

-3 = 3 + b

Subtract 3 from both sides.

-6 = b

Our line is: y = -3/5x - 6

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is C

Step-by-step explanation:

From the question we are told that

  The sample  size for  Math SAT is  [tex]n_1 = 28[/tex]

   The  sample  size for  Verbal  SAT  is  [tex]n_2 = 25[/tex]

Generally the test statistics is mathematically represented as

 [tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

substituting  668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for  [tex] \sigma_1^2[/tex] , 6944.827 for  [tex]\sigma_2^2[/tex]

So

     [tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]  

=>   [tex]t =  1.627[/tex]

Answer:

1/2

Step-by-step explanation:

First create like dominators

2/3 -1/6  = 4/6 - 1/6

simplify using subtraction

4/6 - 1/6 = 3/6

Simplify the answer

3/6 = 1/2

Answer:

1/2

Step-by-step explanation:

2/3 - 1/6

Subtract the two fractions:

2/3 - 1/6 = 1/2

The answer we get is:

1/2

Divide the numerator by the denominator for the decimal form:

1 ÷ 2 = 0.5

0.5 is our decimal form.

1/2 and 0.5 are our answers.

Hope you learned from this answer!

Answer: METHOD 1 Determine the part by multiplying the percent and the whole:METHOD 2 Determine 25% of 8:

125\% \times 8=1.25\times 8=10

125%×8=1.25×8=10

Step-by-step explanation:

Answer:

EndRoot Over 2 EndFraction

StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction

On using the trigonometric identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we calculate that  [tex]sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) =sin(\frac{-\pi }{2} )[/tex].

Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain.

[tex]=sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) \\\\=sin(\frac{\pi }{12} -\frac{7\pi }{12})\\ \\ =sin(\frac{-\pi }{2} )[/tex]

Learn more about trigonometric identities here

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Answer:

About $59.66

Step-by-step explanation:

To find the amount of tax was paid, multiply 64.50 by 0.075 (because 0.075 = 7.5%). This would be 4.8375, which when rounded is 4.84. You subtract 64.50 by 4.84 to get 59.66, but because I rounded, it is about $59.66.

Answer:

60

Step-by-step explanation:

First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.

Sales tax amount =x⋅0.075

Next, substitute the value into the equation:

Original Cost + Sales Tax Amount = Total Cost

x+0.075x=64.50

Add like terms.

1.075x=64.50

Divide both sides by 1.075 to isolate the unknown value.

x=$60

Answer:

I also believe the answer is 3x^5 y^8

Step-by-step explanation:

The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ ∛(27 x¹⁵ y²⁴)

Simplify the expression, then we have

⇒ ∛[3³ (x⁵)³ (y⁸)³]

⇒ ∛(3 x⁵ y⁸)³

⇒ 3 x⁵ y⁸

The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.

More about the Algebra link is given below.

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Answer:

GCF = 7

hope this helps

Answer:

:)

Step-by-step explanation:

21 = 3 • 7,  35 = 5 • 7, 49 = 72

go add the snap carmel.bratz

Answer:

no

Step-by-step explanation:

if they have the same side lengths, then neither of the squares were scaled up nor down. they're the same size, so they're just copies of each other

Answer:

Since this is an isosceles triangle, the angles opposite to the equal sides will also be equal

Therefore,

angle ABC  = angle ACB

We are given that angle ACB  is 30 degrees

Hence, angle ABC = 30 degrees

We know that according to the angle sum property, the sum of all interior angles of a triangle is 180 degrees

So, angle ABC + angle ACB + angle CAB  = 180 degrees

replacing the variables with values we already know

30 + 30 + angle CAB = 180

angle CAB = 180 - 60

angle CAB = 120 degrees

Hence the measure of angle A is 120 degrees

Answer:

Total money: $348.26

Step-by-step explanation:

Paige: $49.75

Nevaeh: 2.5*$49.75

Naomi: 3.5*$49.75

2.5*49.75 = 124.38

3.5*49.75 = 174.13

(I rounded the cents up.)

124.38

174.13

+49.75

$348.26

Hope this helps!! Have an awesome day C:

18:

multiply both sides

move the constants to the right

calculate

I added a picture if you need it. I hope this helps

Answer:

THE ANSWER IS YOU CAN DO IT BECAUSE YOUR SMART!!!!!

Step-by-step explanation:

Answer:

I GUESS ITS NO(TWO VALUES FOR ONE X VALUE) I DONT KNOW IF ITS CORRECT IM JUST GUESSING

Step-by-step explanation:

Answer:

i will not give you the exact answer but i will tell you how to get the answer you need to add all the costs of everything and divide it by the number of tickets and that is how you get profit

Step-by-step explanation:

Answer:

the third one

-28x-7y=-28

2x+7y=28

Step-by-step explanation:

for the first one, the 2x+7y=28 is being multiplied by -1, but its not being distributed correctly (28 is incorrect, it should be -28)

for the second one, the 2x+7y=28 is being multiplied by -4, but again, is not being distributed correctly (112 is incorrect, it should be -112)

for the fourth one, 4x+y=4 is being multiplied by -2, but its not being distributed correctly (8 is incorrect, it should be -8)

The system of equations equivalent to the given system is -28x -7y = -28, 2x + 7y = 28, the correct option is C.

The system of equation is set of equations which have a common solution.

The system of equation is,

4x +y = 4

2x +7y =28

The equations can be solved using Substitution method, elimination method and by plotting the graph.

In substitution method, the value of one variable from an equation is substituted in the other equation.

4x +y = 4

y = 4 - 4x

This will be substituted in the equation 2

2x + 7 (4-4x) = 28

2x +28 - 28x  = 28

-26x = 0

x = 0

Putting this value in equation 1 , y = 4.

In elimination method, one of the variable is eliminated to solve the system of equation.

To eliminate y, the equation 1 will be multiplied by -7,

-28x -7y = -28

2x + 7y = 28

This is equivalent to the original system of equation.

Adding the equations will yield

-26x = 0

x = 0

y = 4.

To know more about System of Equations

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Answer:

(x+4)⋅(2x−7)

Step-by-step explanation:

Combine the like terms.

Answer:

-5

Step-by-step explanation:

Just substitute the values and use a calculator to solve.

Answer:

[tex]ab + c = d \\ ab = d - c \\ b = \frac{d - c}{a} [/tex]

Answer:

0

Step-by-step explanation:

It would be 89.

You can also just look up a list of prime numbers online.

Step-by-step explanation:

[tex] ({2}^{ - 1} )^{3} [/tex]

[tex] {2}^{ - 3} [/tex]

........

Answer:

2^-3

Step-by-step explanation:

When multiplying two exponents with the same base, we basically add the exponents.

Answer:

he would pay 55.8 dollars each day for 5 days

Step-by-step explanation:

Answer:

  y = 3x +4

Step-by-step explanation:

In slope-intercept form, the equation of a line is ...

  y = mx + b

Where m is the slope (3) and b is the y-intercept (4).

Putting the given numbers in the equation, it becomes ...

  y = 3x +4

Answer:

9[tex]\frac{8^{12}}{8^3}=8^n\quad :\quad n=9[/tex]

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

See attachment for complete question:

Our word problem could.

The relationship between weight of Jim's dog and John's dog is shown below.

a. Calculate the weight of John's dog?

b. Calculate the difference in weight of both dogs?

Solution:

a. Weight of John's Dog

Given

Represent John's dog with J and Jim's dog with D

[tex]J = 16.23\ lb[/tex]

From the attachment, we can see that.

[tex]D = \frac{1}{3} * J[/tex]

[tex]D = \frac{1}{3}J[/tex]

To solve for D, substitute 16.23 for J

[tex]D = \frac{1}{3} * 16.23[/tex]

[tex]D = 5.41[/tex]

Hence: Jim's Dog is 5.41lb

b. Difference in Weight

Difference is calculated as thus:

[tex]Difference = J - D[/tex]

[tex]Difference = 16.23 - 5.41[/tex]

[tex]Difference = 10.82[/tex]

Answer:

probability = 0.5294

1) what i know is that there are two machines

2) the probability of choosing a machine that pays 20% of the time

3) expected answer = 0.5294 = 52.94%

4) buy making some assumptions while making the calculations

5) yes

Step-by-step explanation:

Given data:

Number of machines = 2

Assuming probability of machine 2 = 20% = 0.20

Assuming probability of machine 1 = 10%  = 0.10

since both machines have the ability to be generous i.e. pay 20% all the time

P( machine 1 is generous ) = P( machine 2 is generous ) = 0.5

this is since there are only two machines

hence find the probability that the chosen machine ( machine 1 ) is the generous machine after the player losses its first bet

P ( Machine 1 is generous | first bet lost )

= [tex]\frac{P( machine 1 is generous n lost) }{p(lost)}[/tex]   = [tex]\frac{(1-p(pays|machine 1 is generous))*p(machine 1 is generous)}{[((1-0.10)*0.5)+ ((1-0.20)*0.5)]}[/tex]

= [tex]\frac{(1-0.10)*0.5}{0.85}[/tex]  = 0.5294

This the probability that Machine 1 is generous after the player losses the first bet

1) what i know is that there are two machines

2) the probability of choosing a machine that pays 20% of the time

3) expected answer = 0.5294 = 52.94%

4) buy making some assumptions while making the calculations

5) yes