Select all the stories the tape diagram can represent.

Answer:

y = 3x - 20

Step-by-step explanation:

First, we have to find the slope of the equation. We can do by taking the opposite reciprocal of the slope of the original line.

The opposite reciprocal of-1/3 is 3/1 or 3.

So, the slope of our equation will be 3. Our equation so far is:

y = 3x + b.

To find b, or the y-intercept of the line, we can simply substitute the given coordinates into the equation. If we replace x with 6 and y with -2 and solve the equation, we can find the value of b.

-2 = 3(6) + b

-2 = 18 + b

-2 - 18 = b

b = -20

So the equation is,

y = 3x -20.

To check our equation, we can again substitute the coordinates into the equation and solve. If both sides are equal, then the equation is correct.

-2 = 6(3) - 20

-2 = 18 - 20

-2 = -2

The two lines are perpendicular if a 90° angle is formed when they

intersect.

The equation of the line that passes through point Z(6, -2) and is perpendicular to the line [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex] is ; y = 3·x - 20

Reason:

The equation of the required line is, y = 3·x - 20

The given point is Z(6, -2)

Perpendicular to the line, [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex]

Solution:

The slope of a line perpendicular to another line having a slope, m, is [tex]-\dfrac{1}{m}[/tex]

The slope of the given line is [tex]-\dfrac{1}{3}[/tex]

The slope of the perpendicular line is therefore;

[tex]m = -\dfrac{1}{\left(-\dfrac{1}{3}\right)} = \dfrac{3}{1} = 3[/tex]

The point and slope form of the equation of the given line is therefore;

y - (-2) = 3·(x - 6)

y + 2 = 3·x - 3×6 = 3·x - 18

y = 3·x - 18 - 2 = 3·x - 20

y = 3·x - 20

The equation of the line that passes through point Z(6, -2) and is perpendicular to the line [tex]y = -\dfrac{1}{3} \cdot x + 2[/tex] is therefore;

y = 3·x - 20

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Answer:

Your answer is: x = 15/7

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

2:3 = 66%

Step-by-step explanation:

⇒ Convert the fraction 2/3 into decimal

⇒ 2/3 = 0.666

⇒ Multiply the decimal by 100: 0.66 × 100 = 66%

Therefore, the solution is 66%.

Answer:

Depends on how the teacher wants the answer:

400π (in terms of pi) or 1256.6 (rounded to tenths place)

Step-by-step explanation:

40/2 = 20, the radius of one of the blue circles

Use the formula: πr², but divide it by 2 because it is a semicircle

π20² = 400π = 1256.63706

Let me know if you need help rounding it if the question asks you to.

Answer:

The correct answer is D

Step-by-step explanation:

Cost of q quarts of Cranberry juice will be: $ 6.30q  and cost of 4 quarts of apple juice will be $ (3.60×4)= $ 14.40.  Total quarts of items would be q+4 , and he also wants to sell the juice at cost for $4.50 per quart.  That means that the total cost to sell the juices will be $4.50(q+4) . Also, Total cost= Cost of q quarts of cranberry juice+cost of 4 quarts of apple juice.

The expression for the area of the base is x² – 2x – 9. Therefore, the correct answer is (C) x² – 2x – 9.

To use synthetic division, we first need to set up the divisor in the correct form. Since we are looking for the expression for the area of the base of the rectangular prism, we know that the volume of the prism is given by:

volume = (area of base) × (height)

We are given that the height is x + 4, and the volume is x³ + 2x² – 17x – 36. Therefore, we can write:

x³ + 2x² – 17x – 36 = (area of base) × (x + 4)

Now we can use synthetic division to find the expression for the area of the base. The divisor is x + 4, so we write:

-4  | 1 2 -17 -36

    |   -4   8 36

    |-----------------

      1 -2 -9 0

The last number in the bottom row is 0, which means that x + 4 is a factor of the polynomial. The other numbers in the bottom row give us the coefficients of the quotient polynomial. Therefore, we can write:

x³ + 2x² – 17x – 36 = (x + 4)(x² – 2x – 9)

So the expression for the area of the base is x² – 2x – 9. Therefore, the correct answer is (C) x² – 2x – 9.

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Answer:

10:  112.5

12:  84

13:  T F T

14:  F T T

15:  T F T

Answer:

8

Step-by-step explanation:

if a = -b, then -a = b.

plug that into the (b = -c) problem, and you get -a = -c, or a = c

if a and c ar equal, then and b = -c, b also equals -a.

the problem then becomes a - b +c, where a = 8, c = 8, and b = -8

a = -b -> 8 = -(-8)

b = -c -> -8 = -(8)

a = c -> 8 = 8

Answer:

615.44 mm²

Step-by-step explanation:

Before finding the area of the circle, first, let us find the radius of the circle.

Given that,

diameter ⇒ 28 mm

Therefore,

28 = 2r

Divide both sides by 2.

14mm = radius

And now, let us find the area.

The formula to find the area of the circle is :

Let us solve now.

Area = π r²

        = 3.14 × 14 × 14

        = 43.96 × 14

        = 615.44 mm²

According to the graph, it is found that the percent of apartment residents who pay less than $700 per month is given by:

B. 75%

It states that:

Hence, for less than $700, we have that:

5% + 25% + 45% = 75%.

Thus option B is correct.

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Answer:

3x+15+10

3x + 25

Step-by-step explanation:

Answer:

3x + 25

Step-by-step explanation:

Answer:

i guess 3 rd option is correct. ........hope it helps u ♥♥♥♥

The total percent discount offered by the merchant is 57.12%.

A discount is when the price of an items is reduced. It makes a good cheaper when a discount is applied.

The percent change in price after the first discount = 100% - 32% = 68%

The final price after the second discount = (100 - 16%) x 68%

= 57.12%

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Answer:

30

19.5

16

Step-by-step explanation:

you need to find the rule, so divide 12 by 8 and see the factor is 1.5, so just multiply all the numbers by 1.5 to get the second column, and for the last one divide the number by the factor

Answer:

20 honey = 30 flour

13 honey = 19.5 flour

16 honey = 24 flour

Step-by-step explanation:

CROSS MULTIPLYING:

12x20=240, 240/8=30

13x12=156, 156/8= 19.5

8x24=192, 192/12=16

Answer:

50 ounces

Step-by-step explanation:

hope it helps you

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thanks

Answer:

1 yard is 3 feet. There is 36 inches in a yard. There is 12 inches in a foot. Multiply 36 by 10 to get 360. There is 360 inches in 10 yards.

Step-by-step explanation:

Hope this helps! :)

have a blessed day and remember to keep smiling! :)
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Answer:125x^6y^6 (Red)

Step-by-step explanation: To find the answer we need to do first 5^3 which is 125. Then according to exponent rule, we multiply the exponents inside by the exponent outside, so it would be x^6 and y^6.

It would be 125x^6y^6.

Hope this helps you!

Answer: y= 1/3x + 41

Answer:

[tex]_{\text{point-slope form}}[/tex]

[tex]\huge\boxed{y-5=\dfrac{1}{3}(x+12)}[/tex]

[tex]_{\text{slope-intercept form}}[/tex]

[tex]\huge\boxed{y=\dfrac{1}{3}x+9}[/tex]

[tex]_{\text{standard form}}[/tex]

[tex]\huge\boxed{x-3y=-27}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

where

[tex]m[/tex] - slope

[tex](x_1;\ y_1)[/tex] - a point on a line

We have

[tex]m=\dfrac{1}{3};\ (-12;\ 5)\to x_1=-12;\ y_1=5[/tex]

Substitute:

[tex]y-5=\dfrac{1}{3}(x-(-12))\\\\y-5=\dfrac{1}{3}(x+12)\\==================[/tex]

[tex]y-5=\dfrac{1}{3}(x+12)\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\y-5=\dfrac{1}{3}x+4\qquad|\text{add 5 to both sides}\\\\y=\dfrac{1}{3}x+9\\=======================[/tex]

[tex]y=\dfrac{1}{3}x+9\qquad|\text{multiply both sides by 3}\\\\3y=x+27\qquad|\text{subtract}\ x\ \text{from both sides}\\\\-x+3y=27\qquad|\text{change the signs}\\\\x-3y=-27[/tex]

Answer:

9x^5*y^2*pi

Step-by-step explanation:

a = pi * r^2

a = pi * 9x^5y^2

a = 9x^5y^2pi

Let me know if you have questions or need help

Answer:

.99 cents. i think but for a pAck two dollars

Step-by-step explanation:

internet

Answer:

.99 cents. i think but for a pack two dollars

Step-by-step explanation:

Answer:

3x - 4y + 8 = 0

Step-by-step explanation:

In figure,

When x = 0, y = 2

x = 4, y = 5

Two points on the line are (0, 2) & (4,5).

Slope = (5 - 2)/(4 - 0)= 3/4

Equation is:

=> y - 2 = (3/4)(x - 0)

=> y - 2 = 3x/4

=> 4y - 8 = 3x

=> 3x - 4y + 8 = 0

Answer:

- 3000 is the answer

Step-by-step explanation:

just took the test on edu

The slope of the given equation is -3000.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

We are aware that the Havertown newspaper had 80,000 readers in the year 2000 (when x=0) and 50,000 readers in the year 2010 (when x=10). With this knowledge, we can determine the slope of the line that depicts this situation:

slope = (change in y) / (change in x) = (50,000 - 80,000) / (10 - 0) = -3,000

So the slope of the line is -3,000.

We also have a point on the line: (10, 50,000). Using the point-slope form of the equation of a line, we can write:

y - 50,000 = -3,000(x - 10)

Now we just need to find the value that goes in the blank to complete the equation.

Because the line's slope is -3,000, y reduces by 3,000 for every unit increase in x.

We can see that a one-unit increase in x corresponds to a one-year increase in the time since x indicates the number of years from the year 2000. As a result, we might conclude that 3,000 fewer copies of the newspaper were distributed annually.

The point-slope equation is complete when:

y - 50,000 = -3,000(x - 10)

So the answer is -3,000.

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Answer:

Find the appropriate form for your objective function Then you will describe which solvers can handle complex then, you pass the extra Parameters finally, the function argument details.

Answer:

yes

Step-by-step explanation:

any number more than 5 works, even 5.01

Answer:

No where

Step-by-step explanation: