5. Part A: Show another way to find the slope of the line that passes through the points listed in the table. Your way must be different from Avery's method.

. Part B: Justify why Avery's "divide y by x" method will not work to find the slope of every line and given an example (using a table, equation, or graph) in your justification

Answer:

Given

Step-by-step explanation:

At the beginning it says "Given: AB = CB" so they just gave you that information.

Answer:

x-4/3

Step-by-step explanation:

the unknown number is the number they think of, you can't read their mind. but you know you have to subtract by 4 and divide by 3.

Answer:

Step-by-step explanation:

Let s and e represent the grams of 6% and 8% solution, respectively. The given relations can be described by ...

  s + e = 600 . . . . . you have 600 grams of mixture

  0.06s +0.08e = 0.074(600) . . . . grams of alcohol in the mixture

__

The first equation can give an expression for s that substitutes nicely into the second equation:

  s = 600 -e

  0.06(600 -e) +0.08e = 0.074(600) . . . . substitute for s

  0.02e = 0.014(600) . . . . . . subtract 0.06(600)

  e = 420 . . . . . . . divide by 0.02

  s = 600 -420 = 180

You mixed 180 grams of 6% solution with 420 grams of 8% solution.

Answer: 180 grams of 6% solution with 420 grams of 8% solution.

Step-by-step explanation:

Let x and y be the weight (in grams) of 6% and 8% alcohol solution. Since the total weight is 600 grams, therefore,

[tex]$$\Rightarrow x+y=600 \ldots \text { (1) }[/tex]

Using the statement given, we can write the following equation:

[tex]\Rightarrow 6 x+8 y=(7.4)(600)\\ \Rightarrow 6 x+8 y=4440 \text {... (2) }[/tex]

Substitute the value of y from equation (1) into equation (2), we'll get:

[tex]\begin{gathered}\Rightarrow 6 x+8(600-x)=4440 \\\Rightarrow 6 x+4800-8 x=4440 \\\Rightarrow 2 x=360 \\\Rightarrow x=180\end{gathered}[/tex]

Therefore,

[tex]\Rightarrow y=600-180=420[/tex]

Therefore, you mixed 180 grams of 6% solution with 420 grams of 8% solution.

Answer:

[tex]\huge\boxed{\sf 6x^2-x+16}[/tex]

Step-by-step explanation:

[tex]= (2x-3)(3x+4)\\\\Expand\\\\= 2x(3x+4)-3(3x+4)\\\\Distribute\\\\= 6x^2+8x-9x+16\\\\= 6x^2-x+16\\\\\rule[225]{225}{2}[/tex]

Answer:

6x²-x-12

Step-by-step explanation:

(2x-3)(3x+4)

2x(3x+4) -3(3x+4)

6x²+8x-9x-12

6x²-x-12

Answer: C

Step-by-step explanation:

answer:

The answer is d

Step-by-step explanation:

Answer:

your answer is 588 square units

Step-by-step explanation:

i got it right on the test

Answer:Thats Just Notes To Right Down.

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 45 4 5 . The equation of a perpendicular line to y=4x5+7 y = 4 x 5 + 7 must have a slope that is the negative reciprocal of the original slope.

Negative slope

Means sample equation in slope intercept form is

So if you spot 2 mistakes on observing 1 min

then slope is 2

Put one by one

Direct variation

Hence

Answer:

D)  I and IV

Step-by-step explanation:

The variable along the x-axis is the independent variable.

The variable along the y-axis is the dependent variable.

It would be fair to determine that the time spent reviewing a writing assignment is dependent upon the number of spelling mistakes, as the more mistakes an assignment has, the longer it should take to review, however we cannot say this for certain, therefore we cannot assign the dependent and independent variables.

If the scatter plot shows a negative linear relationship, then as the x-values increase, the y-values decrease.

Statements I and IV suggest a negative linear relationship only, depending on which variable is dependent and independent.
(FYI Statements II and III describe positive linear relationships)

Statement I

x-axis (independent variable) = number of spelling mistakes

y-axis (dependent variable) = review time

Statement IV

x-axis (independent variable) = review time

y-axis (dependent variable) = number of spelling mistakes

Therefore, as we cannot be sure which is the dependent variable and which is the independent variable, the solution is D.

Answer:

35

Step-by-step explanation:

x + 10 + 3x - 5 + x = 180

5x + 5 = 180

5x = 175

x = 35

Answer:

$40.95

Step-by-step explanation:

Original price = $65.00

If the jacket is on sale for 40% off, then it is now 60% of the original price.

60% = 60/100 = 0.6

⇒ 60% of $65.00 = 0.6 × 65

                              = $39

If we have to pay 5% sales tax, then this means that the final price will be 105% of the sale price.

105% = 105/100 = 1.05

⇒ 105% of $39 = 1.05 × 39

                         = $40.95

Discount:-

[tex]\\ \rm\rightarrowtail 0.40(65)=26\$[/tex]

Now

So

Sales tax is 5%

Total price=39+0.05(39)=40.95$

Answer:

a. y equals one third times x plus 10

= y = 1/3(x) + 10

Step-by-step explanation:

Let us represent:

Let the original final plan = x

Let the current flight plan = y

The initial time of departure = 4.00pm

Her flight was then delayed for 10 minutes

We are told in the question that:

The current flight plan allows her arrive at her destination three times faster.

This means y= (1/3)x

y = x/3

Hence the equation generated =

y = x/3 +10

y = 1/3(x) + 10

Answer:

y = 1/3x + 10

Step-by-step explanation:

Answer:

1. A, 2. A , good luck!!!

Step-by-step explanation:

Answer:

h is 9 inches

Step-by-step explanation:

just substitution, easy

75π=2π[tex]r^{2}[/tex](h)(1/3）

Solution:

Given:

[tex]\bullet \ \ \text{Volume of party hat} = 75\pi \text{ inches}^{3}[/tex]

[tex]\bullet \ \ \text{Radius of party hat:}\ 5 \ \text{inches}[/tex]

Recall that the formula to find the volume of a cone is πr²h/3. Now, let's use the formula to find the height.

[tex]\bullet \rightarrow \text{Volume of cone:} \ \dfrac{ \pi r^{2} h}{3}[/tex]

[tex]\bullet \rightarrow \text{Volume of party hat} =\dfrac{ \pi r^{2} h}{3} = 75\pi \text{ inches}^{3}[/tex]

[tex]\bullet \rightarrow \dfrac{ (\pi )( 5^{2})( h)}{3} = 75\pi \text{ inches}^{3}[/tex]

[tex]\bullet \rightarrow (\pi )( 5^{2})( h)} = 75\pi \times 3[/tex]

[tex]\bullet \rightarrow { (\pi )( 25)( h)}= 225\pi[/tex]

[tex]\bullet \rightarrow \dfrac{{ (\pi )( 25)( h)}}{25} = \dfrac{225\pi}{25}[/tex]

[tex]\bullet \rightarrow { (\pi )( h)}= 9\pi[/tex]

[tex]\bullet \rightarrow \dfrac{{ (\pi )( h)}}{\pi } =\dfrac{ 9\pi}{\pi }[/tex]

[tex]\bullet \rightarrow \boxed{\bold{h= 9 \ \text{inches}}}[/tex]

Thus, the height of the party hat is 9 inches.

Answer: $2.10

Step-by-step explanation: 22-15.70= 6.3

This means you spent $6.30 on pretzels. Divide 6.30 by 3 to find out how much each pretzel costs. You would get 2.1 (which is written as $2.10 in money).

Answer: D

Step-by-step explanation:

Answer:

=> 6 + x – y

Step-by-step explanation:

=> The trinomial of degree 1 = 6 + x – y

Answer:

37.5 percent

Step-by-step explanation:

Finding percent is simple. You want to find percent of the price drop so you subtract 50 from 80 and get 30. Once you get 30 you divide by 80 (your original price). Once you do this you will get 0.375. Multiply this by 100 to get your percent.

Answer:

142 l/hr

Step-by-step explanation:

Answer:142

Step-by-step explanation:

Answer:

Step-by-step explanation:

One way to answer this problem is to notice as x goes up 1, y will go up 2. The relationship is linear. No exponential function is going to do that. The jump will not be so easily described.

So what's the answer?

The exact description is D. It is just what I wrote in more general terms.

Answer:

1. 3x + 5 + x + 3

2. 4x + 8

3. 4(x + 2)

Step-by-step explanation:

1. Write out the problem, break it down.

2. Combine like terms.

3. Factor.

Answer:   fist you could Write out the problem and then , break it down.

2. Combine it like terms.

3. And then the Factor.

Answer:

5x² + 5x + 9

Step-by-step explanation:

(3x + 4) + ((5x² - 1) + (2x + 6))

Remove parenthesis

3x + 4 + 5x² - 1 + 2x + 6

Group like terms

5x² + 3x + 2x + 4 - 1 + 6

Subtract 1 from 4

5x² + 3x + 2x + 3 + 6

Add 3 and 6

5x² + 3x + 2x + 9

Combine like terms

5x² + 5x + 9

Answer: 5x² + 5x + 9

Answer:

Where is the question mate ????

Answer:

question please .........

Answer:

d - 11*16

Step-by-step explanation:

Algebraic Expressions

We use algebraic expressions to model real-world situations and we must pay close attention to the writing of the problem to do it properly and accurately.

Let's build the expression in small steps:

11 times the quantity 16 = 11*16

That amount less than a number d. It suggests a subtraction:

d - 11*16

Answer:

52x2−2

Step-by-step explanation:

=49x2+−8+4x2+1+5+−x2

Combine Like Terms:

=49x2+−8+4x2+1+5+−x2

=(49x2+4x2+−x2)+(−8+1+5)

=52x2+−2

Answer:

$490.03

Step-by-step explanation:

($415.28)(0.18) = $74.75

$415.28 + $74.75 = $490.03

Answer:

0 is the last digit. Hope this helps

Problem 1

Answers:

Reason:

Refer the diagram below to see how rectangular cross sections are possible. The cross sections are marked in red.

For the rectangular prism, we could have a vertical or horizontal plane. For the cylinder, only a vertical cross section is possible. On the flip side, a rectangular pyramid can only have horizontal rectangular cross sections (which are similar to the base).

========================================================

Problem 2

Answer: Approximately 73,280.62908 square feet

Explanation:

Calculate the area of the trapezoid. Ignore the small triangle for now.

A = h*(b1+b2)/2

A = 354*(266+158)/2

A = 75,048

Now calculate the area of the triangle we ignored earlier

Before we do this, we'll need to use the pythagorean theorem to find the missing horizontal piece

a^2 + b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(97^2 - 40^2)

b = 88.368546 which is approximate.

Now we can find the area of the small triangle

Area = base*height/2 = 88.368546*40/2 = 1,767.37092

This is to be subtracted from the area of the trapezoid we found earlier.

75,048 - 1,767.37092 = 73,280.62908

Round the result however you need to.

Answer:

113

Step-by-step explanation:

The given shape has 6 angles so it's a hexagon and the sum of interior angles in a hexagon is = 720

To find the the value of x we need to add all given values up and subtract it from 720:

88 + 142 + 105 + 136 + 136 + x = 720

607 + x = 720 subtract 607 from both sides

x = 113

Answer:

true

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

True

Step-by-step explanation:

To find the range first order the data from the least to greatest. Then subtract the smallest value from the largest value in the set.