Solve for d. 20d − 19d + 3d + 4d + 2d = 20

Answer:

x=8.4

Step-by-step explanation:

4x + 8 (0.8) = 40

4x = 40 - 6.4

4x = 33.6

x = 33.6/ 4

x= 8.4

B) 8.4..............

Answer:

Approximately 201.06 in² of pizza sauce is needed

(if using the approximation π ≈ 3.14, then the answer is 200.96 in²)

Step-by-step explanation:

We assume that the pizza is perfectly circular and that we want to cover the entire surface. We need the formula for the surface area of a circle which is

  A = πr²,

where r is the radius of the pizza.

By definition, the diameter is twice the radius. So the radius of this pizza is half of 16'' = 16 inches, which is 8 in.

Therefore, (using a calculator value for π instead of 3.14 approximation),

  A = π(8 in)² = 64π in² ≈ 201.06 in².

Approximately 201.06 in² of pizza sauce is needed.

If you are need to use the approximation π ≈ 3.14, then the answer is 200.96 in²

Answer:

201.06 square inches

Step-by-step explanation:

We need to cover the whole surface area of the pizza so if the pizza is a circular one (using the typical shape), then we can use the formula of the area of a circle.

Area of a circle = pi * r^2

We are given the diameter of the circle to be 16 inches so its radius will be 8 inches.

Substituting this value of radius in the formula to get:

[tex]\pi r^2[/tex] = [tex]\pi (8)^2[/tex] = [tex]201.06[/tex]

Therefore, about 201.06 square inches of pizza sause is needed to cover the pizza.

The student's final grade in the class is 87.08%.

Calculating the Student's Final Grade:

Step 1: Calculate Individual Category Scores:

Tests: 90% (average)

Quizzes: (67 + 90 + 44 + 29 + 100 + 100 + 100) / 7 = 78.43%

Homework: 85% (average)

Final Exam: 98%

Step 2: Apply Category Weights:

Tests: 90% * 55% = 49.5%

Quizzes: 78.43% * 30% = 23.53%

Homework: 85% * 5% = 4.25%

Final Exam: 98% * 10% = 9.8%

Step 3: Add Category Scores:

49.5% + 23.53% + 4.25% + 9.8% = 87.08%

Therefore, the student's final grade in the class is 87.08%.

Question: Which of the following would be considered important in including in the summary of an experimental investigation?

Answer: variables that were manipulated during the experiment

Explanation:  A variable is anything that can change in an experiment.

question answered by

(jacemorris04)

Hi There!

Answer:

A.) variables that were manipulated during the experiment

Least important to most important steps to include in a summary:

Hope This Helps :)

Answer: a is greater and less than -5 AND a is less than 5 (second choice)

Step-by-step explanation: they’re both valid inequalities when leaving the absolute value alone. |a| becomes a.

Answer:

slope of y = -7 is 0

Step-by-step explanation:

y = any number forms a graph of a horizontal line

x = any number forms a graph of a vertical line

For any horizontal line , the slope is always 0

for any vertical line  , the graph is always undefined

So for y =-7 we will get a horizontal line at -7  on t

the slope of horizontal line y=-7 is 0

Answer:

B. -6 and 4/9  

Answer:

A.   [tex] 2 \dfrac{2}{9} [/tex]

Step-by-step explanation:

[tex] -2\dfrac{1}{9} - \left(-4 \dfrac{1}{3} \right) = [/tex]

[tex] = -2\dfrac{1}{9} + 4 \dfrac{1}{3} [/tex]

[tex] = -\dfrac{19}{9} + \dfrac{13}{3} [/tex]

[tex] = -\dfrac{19}{9} + \dfrac{39}{9} [/tex]

[tex] = \dfrac{20}{9} [/tex]

[tex] = 2 \dfrac{2}{9} [/tex]

Answer:

B. g/cm3

Step-by-step explanation:

Answer:

kilogram

Step-by-step explanation:

The SI unit of kilogram per cubic metre (kg/m3) and the cgs unit of gram per cubic centimetre (g/cm3) are probably the most commonly used units for density.1,000 kg/m3 equals 1 g/cm3. (The cubic centimeter can be alternately called a millilitre or a cc.)

I would make a table and plug in values for "x" in the equation to find f(x) or y

x = 0

[tex]f(x)=2*(3)^x[/tex]

[tex]f(0)=2*(3)^0[/tex](there is a rule that when the exponent is 0, the result is 1)

[tex]f(0)=2*1[/tex]

f(0) = 2                   (0,2)

x = 1

[tex]f(x)=2*(3)^x[/tex]

[tex]f(1)=2*(3)^1[/tex]

[tex]f(1)=2*3[/tex]

f(1) = 6        (1,6)

You could do more points.

But these two points shows that the y-intercept (the y value when x = 0 or (0,y)) is 2, and that the graph is increasing.

Your answer is B

Graph B matches with the function.

A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

The given function is  f(x) = 2 ([tex](3)^{x}[/tex])

So, option C is wrong

Again,

So, option D is also wrong.

Now,

So, option A is wrong

Hence option B is correct which also satisfies all the conditions mentioned above.

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Answer: If the question you are asking is how many meters Tracy ran per minute the answer would 200 meters per minute

Step-by-step explanation:

1) You would take 1,000 and divide it by 5

In order to check your work you can just multiply 200 by 5.

Hope this helped!

Answer:

I believe the answer to your question is p = 33

Step-by-step explanation:

Question: p÷3 - 7.2 = 3.8

Step 1: Add 7.2 to both sides of the equation

p÷3 - 7.2 = 3.8

+7.2           +7.2

p÷3 = 11

Adding 7.2 to both sides cancels out 7.2 on the left and whatever you do unto one side of an equation, you must do to the other (it's just a rule in math)

Step 2: Multiply by 3 on both sides

p÷3 = 11

x 3     x 3

p = 33

Same as last time; multiplying by 3 cancels out 3 on the left and whatever you do unto one side, you must do to the other

Answer:

p=33 is the answer

Step-by-step explanation:

Answer:

could you be more specific? link doesn't take me anywhere

Because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. Now you can do the same thing with 0 and 2 as x. You get y=8 when x=0 and y=14 when x=2.

x  |   y

-2 |  2

0  |  8

2  |  14

Answer:

Although I'm not entirely sure of the question (sorry lol), any ratio that is 1.5:2 , 6:8 , 9:12 , 12:18 etc would be equivalent to 3 to 4.

Step-by-step explanation:

If you divide both 3 and 4 by 2 you'd wind up with 1.5 ( 3 ) and 2 ( 4 ). When multiplying, you'd get 3x2 = 6 and 4x2=8, 3x3 = 9 and 4x3 = 12 and so on.

Answer:

12(2v - 7)

Step-by-step                

Answer: choice (3)

Open circle at -2; shading to the right of -2

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

Work Shown:

-2x+8 < 12

-2x+8-8 < 12-8 ... subtract 8 from both sides

-2x < 4

-2x/(-2) > 4/(-2) ... divide both sides by -2; sign flips

x > -2

To graph this, plot an open circle at -2 on the number line. Shade to the right of this open circle. The open circle means "this value is not included in the shaded solution region". The sign flips in the second to last step because we divided both sides by a negative number.

Answer:

3.     x>-2  see graph

Step-by-step explanation:

-2x+8 < 12

Subtract 8 from each side

-2x+8 -8 <12-8

-2x <4

Divide by -2 (Remember this flips the inequality)

-2x/-2 > 4/-2

x >-2

Answer:

The answer is 13/7

Step-by-step explanation:

Answer:

13/7

Step-by-step explanation:

Answer:

x = $3

y = $4

Step-by-step explanation:

We need to know the prices of gravel and peas. We can find the price by using equations and graphing them.

Let X be the price of the sand

Be and the price of pea gravel

In the first purchase we have:

[tex]4x + 3y = 24[/tex]

In the second purchase we have

[tex]2x = 6[/tex]

Both relations represent the equation of a line. In the graphic shown, these lines are drawn. In this case the interception between both lines represents the price of each product, and the solution of the problem. You can see that the lines intersect at point (3 4). This means that the price of each bag of sand is $ 3, and the price of a bag of pea gravel is $ 4.

Answer:17/20

Step-by-step explanation:

100% being a whole.

so she got 85% out of 100%, then 85 out of 100.

[tex]\bf \cfrac{85}{100}\implies \cfrac{5\cdot 17}{5\cdot 20}\implies \cfrac{5}{5}\cdot \cfrac{17}{20}\implies 1\cdot \cfrac{17}{20}\implies \cfrac{17}{20}[/tex]

The IQ score that aligns with a z-score of 2.33 in a normal distribution having a mean of 100 and a standard deviation of 15 is approximately 135.

The IQ score that corresponds to a z-score of 2.33 can be found using the z-score equation. In this equation, z is equal to (X - μ)/σ, where X is the value we're trying to find, μ is the mean, and σ is the standard deviation. Given that the mean (μ) is 100 and the standard deviation (σ) is 15, we can plug these values into the equation along with the z-score of 2.33 to solve for X. Through rearrangement of the z-score equation, X = zσ + μ. Substituting a z of 2.33, σ of 15, and μ of 100, gives X = (2.33*15) + 100 = 134.95. Hence, an IQ of approximately 135 corresponds to a z-score of 2.33 on a normally distributed IQ test.

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256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

       = 2⁸

16 = 2 * 2 * 2 * 2

   = 2⁴

Answer: 25%

Step-by-step explanation:

Given : The price of a video game was reduced from $60 to $45.

i.e. Previous price = $60

New price = $45

Reduction in price = Previous price -New price

= $60 - $45 = $15

Then, the percentage was the price of the video game reduced :-

[tex]\dfrac{\text{Reduction in price}}{\text{Previous price}}\times100\\\\=\dfrac{15}{60}\times100=25\%[/tex]

Hence, the percentage was the price of the video game reduced = 25%

25% was the price of the video game reduced.

Step-by-step explanation:

Given :

Previous Price of the video game = $60

Present Price of the video game = $45

Calculation :

Let previous price of the video game be 100% than,

[tex]= \dfrac{45\times 100}{60}[/tex]

=  75%

Reduced Percentage = 100 - 75 = 25%

Therefore,  25% was the price of the video game reduced.

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Answer:

16 nickels thicker

Step-by-step explanation:

You would need 20 nickels for 1 dollar and only 4 quarters for 1 dollar.  Do 20 minus 4 and your answer is 16 nickels. The stack of nickels is 16 coins thicker. Hope this helped!

The possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.

Given that a rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet, to determine the possible widths of the room the following calculations must be performed:

Rectangle = 70 feet of perimeter = 35 feet of base and height added

Area of a rectangle = base times height

Therefore, the possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.

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Answer:

160.0 cm²  

Step-by-step explanation:

R = 42 cm; s = 44 cm

1. Central angle θ (working in radians)

θ = s/R

θ = 44/42

θ = 22/21

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

2. Area of sector

A = ½R²θ

A = ½(42)²(22/21)

A = ½(42×21×2)(22/21)

A = 924 cm²

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

3. Area of triangle

A = ½R²sinθ

A = ½(42)²sin(22/21)

A = ½ ×1764 × 0.8662

A = 764.0 cm²  

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

4. Area of segment

Area of segment = Area of sector – area of triangle

= 924 – 764.0

= 160.0 cm²

The area of segment is [tex]\boxed{160{\text{ c}}{{\text{m}}^2}}.[/tex]

Further explanation:

The formula of angle can be obtained as follows,

[tex]\boxed{\theta= \frac{{{\text{arc}}}}{{{\text{radius}}}}}[/tex]

The formula for area of sector can be expressed as follows,

[tex]\boxed{{\text{Area of sector}} = \frac{1}{2}{r^2}\theta }[/tex]

The formula for area of triangle can be expressed as follows,

[tex]\boxed{{\text{Area of triangle}} = \frac{1}{2}{r^2}\sin \theta }[/tex]

Given:

The radius of the circle is [tex]42{\text{ cm}}.[/tex]

The length of an arc is [tex]44{\text{ cm}}.[/tex]

Explanation:

The radius of the sector is [tex]42{\text{ cm}}[/tex] and the length of an arc is [tex]44{\text{ cm}}.[/tex]

The angle can be obtained as follows,

[tex]\begin{aligned}\theta&= \frac{l}{r}\\&=\frac{{44}}{{42}}\\&= \frac{{22}}{{21}}\\\end{aligned}[/tex]

Area of the triangle can be obtained as follows,

[tex]\begin{aligned}{\text{Area}}&= \frac{1}{2}{r^2}\sin {{\theta }}\\{\text{ }}=&\frac{1}{2}{\left( {42} \right)^2}\sin \left( {\frac{{22}}{{21}}} \right) \\&=882 \times 0.8662\\&=764{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]

Area of sector can be obtained as follows,

[tex]\begin{aligned}A&= \frac{1}{2}{r^2}\theta\\&= \frac{1}{2} \times {\left( {42} \right)^2} \times \left({\frac{{22}}{{21}}} \right) \\&= 924{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]

The area of segment can be obtained as follows,

[tex]\begin{aligned}{\text{Area of segment}}&= {\text{Area of sector}} - {\text{Area of triangle}}\\&= {\text{924}} - 764\\&= 160{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]

The area of segment is [tex]\boxed{160{\text{ c}}{{\text{m}}^2}}.[/tex]

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Area of Circles

Keywords: area, minor segment, circle, radius 42 cm, length of the corresponding arc is 44 cm, sector, segment.

Answer:

-2x-4

Step-by-step explanation:

(-7x-7y-4)-(-5x-7y)=-7x-7y-4+5x+7y=-7x-4+5x=-2x-4

Answer:

-2x - 4

Step-by-step explanation:

Answer:

Step-by-The GCF of 35 and 63 is 7. To find the GCF, we will start by listing the factors of 35 and listing the factors of 63. We see that the factors that are common to both 35 and 63 are 1 and 7, and the greatest of these is 7. Therefore, the greatest common factor of 35 and 63 is 7.step explanation:

The greatest common factor of the numbers 35 and 63 will be 7.

We may use the prime factorization method to get the greatest common factor (GCF) of 35 and 63.

The two numbers are first factored into their prime factors.

While 63 can be written as 3 * 3 * 7, 35 may be written as 5 * 7.

Next, we determine the common prime factors and calculate each factor's lowest exponent.

The common component in this instance is 7. The GCF of 35 and 63 is thus 7.

The greatest number that divides both 35 and 63 without producing a remainder is the GCF.

More about the greatest common factor link is given below.

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