Find the dimensions of a rectangle if the perimeter is 318 inches and the
length is half the width plus nine inches.

The next three terms in the sequence are 116 , 159 and 209

We are supposed to find the next 3 terms in the sequence:

5, 6, 14, 29, 51, 80, ___, ___, ___.

Here we can are first supposed to find the pattern which is as follows:

[tex]6-5=1\\14-6=8\\29-14=15\\51-29=22\\80-51=29\\[/tex]

Therefore difference between the numbers is 7 more than the previous one i.e,

[tex]1+7=8\\8+7=15\\15+7=22\\22+7=29[/tex]

Let required three numbers be x, y and z

So [tex]x-80=29+7=36\\x=116[/tex]

    [tex]y-116=36+7=43\\y = 159[/tex]

and [tex]z-159=43+7=50\\z=209[/tex]

Hence x = 116, y = 159 and z = 209

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Answer:For the two plans to cost the same Omar would need to drive 275 miles

Step-by-step explanation:Please give brainliest if right.

The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.

We know that a function that does not have discontinuities in the values that means any changes in value.

We have been given four statements.

a. your altitude as a function of time while flying from reno to Dallas.

c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.

b. time of travel from Miami to Pensacola as a function of driving speed.

d. area of a circle as a function of radius.

We need to find a function which is not continuous.

The function which is not continuous is the statement C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.

Because the number of these balls is discreet, not continuous (meaning that there cannot be 2.3 balls).

Therefore, The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.

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The number of trips max would have to make in order to deliver 12 cords of wood is 16 trips.

We will use unitary method to solve this problem.

Pick up truck carry ( 3/4 ) cord of firewood in trip = 1

Pick up truck will carry 1 cord of firewood in the trips =  ( 1/(3/4) ) trips                                                                                                                

                                                                                        = ( 4/3 ) trips

Truck will carry 12 cords of firewood in the trips = 12 × ( 4/3 )

                                                                                = 16 trips.

Therefore, the number of trips max would have to make in order to deliver 12 cords of wood is 16 trips.

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Answer:

Please mark this answer as the brainliest, it would really mean a lot to me

Answer = 28 Degrees

Step-by-step explanation:

If the triangle has two sides that are the same, it is an isosceles triangle.

The rule for an isosceles triangle is "an isosceles triangle △ABC where AB = AC, we have ∠B = ∠C."

So in this case, it would be FE = FG, and ∠E = ∠G.

Nikola took 2 hours to finish the swimming part

Nikola took 4.5 hours to finish the running part

A form of arithmetic in which the rules of arithmetic are used to combine letters that represent numbers.

Calculations:

Assume,

[tex]t=time\;in\;hrs\;to\;complete\;swimming\;part[/tex]

[tex]6.5-t=time\;in\;hrs\;to\;complete\;running\;part[/tex]

[tex]d=distance\;in\;km\;that\;he\;swam[/tex]

[tex]73.5-d=distance\;in\;km\;that\;he\;ran[/tex]

Equation of swimming part,

[tex]d=3t[/tex]

Equation of running part.

[tex]73.5-d=15\times(6.5-t)[/tex]

Substitute the value of d in running part equation,

[tex]73.5-3t=15\times(6.5-t)[/tex]

[tex]73.5-3t=97.5-15t[/tex]

[tex]12t=24[/tex]

Therefore,

[tex]t=2[/tex]

[tex]Time\;to\;complete\;summing\;part=t[/tex]

[tex]Time\;to\;complete\;summing\;part=2\;hours[/tex]

[tex]Time\;to\;complete\;summing\;part=6.5-t[/tex]

[tex]Time\;to\;complete\;summing\;part=6.5-2[/tex]

[tex]Time\;to\;complete\;summing\;part=4.5\;hours[/tex]

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It's crucial to start a topic off positively in a group discussion when you feel completely confident over your statements in order to create the correct momentum that will lead to a strong start and help you establish yourself as the group leader.

Confidence is by far the most crucial quality. A strong sense of self-assurance is essential for a leader. Self-conscious people are rarely effective leaders. A guy needs to have the self-assurance to tell people to follow him. The leader must have faith in his judgement and actions. An important trait in a leader is honesty. If someone wants to gain followers, they must exhibit honesty and integrity. A leader needs to be an excellent innovator. He must exercise creativity in his work. Most importantly, innovation ensures a group's or invention's continuous existence. Innovation is necessary for growth to occur.

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Answer: 50 words per minute

Step-by-step explanation: if he types 10 words per minute and if you multiply that by 5 the answer is 50 words per minute

The values in the solution set of the inequality are values that do not exceed 0

The inequality expression is given as

3 − 4 x ≥ − 3

Rewrite the expression properly.

So, we have

3 − 4x ≥ −3

Add 3 to both sides of the inequality.

So, we have

3 + 3 − 4x ≥ −3 + 3

Evaluate the like terms

So, we have

− 4x ≥ 0

Divide both sides by -4

x ≤ 0

The above means that the values in the solution set of the inequality are values that do not exceed 0

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Answer:

11=2y-11

11+11=2y

22=2y

y=22/2

y=11

Answer: I got you!

The answer is below!

11=2y-11

11+11=2y

22=2y

y=22/2

y=11

The point R has an abscissa 9 and ordinate 5

Answer:

No

Step-by-step explanation:

If we put x=1 in equation y=x+3.75

y=(1)+3.75

y/x=4.75

If that is proportional then y/x will be the same in each scenario

and if we put x=2 then y=(2)+3.75

y=5.27

y/x=2.875

So, it is not equal, it means that equation is not proportional.

Answer:

a

Step-by-step explanation:

Based on the given parameters, the range of the function is -8 < y < -3

We have the following endpoints on the graph of the function;

(x, y) = (-5, -3)

(x, y) = (10, -8)

A diagonal curve connects both points

Remove the x values to determine the range

y = -3

y = -8

-8 is less than -3

So, the range can be represented as

-8 less than y less than -3

Express less than using the inequality <

So, we have

Range: -8 < y < -3

Hence, the range of the function is -8 < y < -3

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Answer: your answer should be  -8 < y < -3

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

5x2x10x4=

The statement that the product of an integer and a decimal number will never be an integer is false

The statement is given as

The product of an integer and a decimal number will never be an integer.

The above statement is false.

Take for instance, we have

2 x 2.5

2 is an integer and 2.5 is a decimal number

The product is

2 x 2.5 = 5

5 is an integer

Hence, the statement that the product of an integer and a decimal number will never be an integer is false

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Students should add 8.6 fluid ounces of 12% ethylene glycol.

Using the relation between concentration and volume of solution to find the required amount of 12% ethylene glycol to be used. Let the required amount of 12% ethylene glycol be x fluid ounces. Forming the relation as follows -

C₁ × V₁ + C₂ × V₂ = C₃ × V₃

C₁ and V₁ represents 2% ethylene glycol, C₂ and V₂ represents 12% ethylene glycol and C₃ and V₃ represents 5% ethylene glycol solution. As V₂ is x, so, V₃ will be (20 + x).

Keep the values in formula to find the value of x

2%×20 + 12%×x = 5%×(20 + x)

Solving the equation for the value of x

2/100×20 + 12/100×x = 5/100×20 + 5/100×x

0.4 + 0.12x = 1 + 0.05x

Rearrange the equation -

0.12x - 0.05x = 1 - 0.4

Performing subtraction on both sides -

0.07x = 0.6

Shifting 0.07 to Right Hand Side and performing division

x = 0.6 ÷ 0.07

x = 8.6 fluid ounces

Hence, 8.6 fluid ounces of the 12% ethylene glycol should be added.

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The transformation, the coordinates of point B' become (1, 15).

The transformation rule (x, y) → (x + 4, 3y) involves shifting the x-coordinate by 4 units to the right and stretching the y-coordinate by a factor of 3. To find the coordinates of B' after applying this rule, we take the coordinates of point B(-3, 5):

x-coordinate of B' = x-coordinate of B + 4 = -3 + 4 = 1.

y-coordinate of B' = y-coordinate of B * 3 = 5 * 3 = 15.

Therefore, after the transformation, the coordinates of point B' become (1, 15). This means that B' is located 4 units to the right of B along the x-axis and its y-coordinate is three times that of B. The transformation has shifted and stretched the original triangle, resulting in a new position for point B'.

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Answer:

-24a^3b^7

Step-by-step explanation:

Answer:

[tex]-24a^3b^7[/tex]

Step-by-step explanation:

Hello!

We can simplify by multiplying and expanding the expression. Then, multiply with the same variables.

The simplified expression is [tex]-24a^3b^7[/tex].

the answer for the given question is slope is -5 and y- intercept is 2.

The slope intercept form of a straight line is one of the most common ways to represent a line's equation. When given the slope of a straight line and the y-intercept, the slope intercept formula can be used to find the equation of a line (the y-coordinate of the point where the line intersects the y-axis).

The slope-intercept form is y = mx + b , where m is the slope and b is the y-intercept.

y = mx + b

Take 20x off both sides of the equation.

4y = 8 − 20x

Simplify each term by dividing it by 4y = 8 - 20x.

y = 2 − 5x

Reorder 2 and -5x.

y =−5x + 2

Therefore after simplification we get the slope as -5

and the y-intercept as 2

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When we reflect a point across the line y = x, the x- and y-coordinates swap positions.

Therefore, when we reflect a point across the line y = x, the x- and y-coordinates swap positions.

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What happens when x = 4 is that the graph is equal to zero when x = 4.

The information that we have is:

"The graph of y = -1/2x + 2 is  is negative over the interval (4, ∞) and positive over the interval (-∞, 4)."

Now, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must be that the graph must crosses the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.

But we could also test it with the equation:

y = -(1/2)*x + 2

if we replace the x with 4.

y = -(1/2)*4 + 2 = -2 + 2 = 0.

Then our previous hypothesis was correct.

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Answer:

93 x 10 = 930^5 =  695688369300000

The distance between the given two points is 7 units.

Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

Put the values in the formula:

Then,

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\sqrt{(-5-0)^{2}+(-5-(-1))^{2} } \\\sqrt{25+(25-1)} \\\sqrt{25+24} \\\sqrt{49} \\=7[/tex]

Therefore, the distance between the given two points is 7 units.

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Answer:

23

Step-by-step explanation:

1104/48 = 23 boxes

Answer:

A. ≈65in

B. ≈68in

Step-by-step explanation:

Girls: 25 + 1.17h

Boys: 22.7 + 1.37h

A. 25 + 1.17(34) = 25 + 39.78 = 64.78in

B. 22.7 + 1.37(33) = 22.7 + 45.21 = 67.91in

Since it's asking for the nearest inch:

A. ≈65in

B. ≈68in

I hope this helps!

Answer:54

Step-by-step explanation:

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=-4\\ y=6 \end{cases} \\\\\\ 6=k(-4)\implies \cfrac{6}{-4}=k\implies -\cfrac{3}{2}=k~\hfill \boxed{y=-\cfrac{3}{2}x}[/tex]

Answer: (0,-6), (1,-4)

Step-by-step explanation:

Subtract 4x from both sides of the equation.

−

-2y=12−4x

Divide each term in -2y=12-4x by-2 and simplify

-

y=-6+2x

Rewrite in slope-int form.

y=2x-6

Next, you want to use the slope-int form to find the slope and y-int so you get (0,-6) and (1,-4)