Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answer:

1480

Step-by-step explanation:

To the nearest 10, is the 10s place. 76 is closes to 80, so round 1476 to 1480. Hope this helps!

A sentence constructed up of variables, numbers, or both is known as an expression in mathematics.

A mathematical expression is a sentence with at least two numbers or variables, at least one mathematical operation, and at least single mathematical operation. Math allows for addition, subtraction, multiplication, and division.

Using variables, numbers, or both, a mathematical expression is a phrase. A symbol in an expression can never be equal. Examples include these expressions. Equations are mathematical statements that demonstrate the equality of two expressions.

Let the equation be 2x + 10

Where, x = 15

substitute the values in the above equation, we get

= 2(15) + 10

= 40

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Using the expression you found in part a, how many minutes will it take to make and pack an order for 15 parts? Show your work.

Given expression is:

2x + 10

The piece of pasta he started with was 34 inches long.

Defining a problem, identifying its underlying cause, locating, ranking, and selecting potential solutions, as well as putting those ideas into practice, are all steps in the issue-solving process. Diagnose the circumstance to keep your attention on the issue and not merely its symptoms.

Let x be the length of the original piece of pasta.

After taking bites, he has (x - 3) pieces of pasta, each 17/10 inches long.

So, the total length of all pieces of pasta is (x - 3) * 17/10 = 17 inches.

Therefore, x = 10 * 17/7 + 3 = 34 inches.

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From the graph, it looks like the tangent line at 20 minutes has a slope that is close to 0.55°C/minute. So, the estimate of the rate of change of the temperature of the cookies after 20 minutes is approximately 0.55°C/minute.

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The surface area of the shape, can be found to be

This is a composite shape which means you need to find the surface areas of the different shapes and then sum them up.

Area of triangle :

= 1 / 2 x base x height

= 1 / 2 x 20 x 25

= 250 cm ²

Area of rectangles :

= ∑ ( Length x Width )

= ( 20 x 15 ) + ( 25 x 15 ) + ( 15 x 30 )

= 1, 125 cm ²

The surface area is:

= 1, 125 + 250

= 1, 375 cm ²

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The perimeter of the rectangle  = (6 x + 8) meters. and the Area is  

2x² +10x.

step 1: The first side's length is (x+ 5) metres, while the second side's breadth is (2x+ 1) metres.

Now, the RECTANGLE'S PERIMETER = 2 (LENGTH + WIDTH).

Here, perimeter is equal to 2 ((x+ 5) m + (2x + 1) m) or 2 (x + 5 + 2x +1) = 2(3x + 4) = 6x + 8

Therefore, the rectangle's perimeter is equal to (6 x + 8) metres.

step 2:

Area of a rectangle equals length times breadth

Given:

Size = x+5

Thickness = 2x+1

Area of rectangle = length breadth = (x+5) (2x+1) = 2x (x+5) (2x+1) =2x2+5+4x+1 =2x2+10x, according to the query.

The area is therefore 2x2 + 10x.

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Answer: $115

Step-by-step explanation:  

92 is the price after a 20% discount, so it is 80% of the original value.

So, solve, 92÷0.80=115

So the original price was $115

Answer:

-72

Step-by-step explanation:

Assuming it is -x^2 - x and not (-x)^2, then you simply plus in -9 for x:

-(-9)^2-(-9) = -72

The interpret of P(0) is 0 and P(250) = 132.58. The domain of P is [0, ∞]

The population of Sasquatch in Portage County can be modeled by the function P(t) = 140t/(t + 14) where t represents the number of years since 1803.

We have to interpret P(0).

To interpret P(0) we put t = 0 in the function then solve the function.

The function is:

P(t) = 140t/(t + 14)

Putting t = 0

P(0) = (140 × 0)/(0 + 14)

P(0) = 0/14

P(0) = 0

Now we interpret P(250) by putting t = 250.

P(250) = (140 × 250)/(250 + 14)

P(250) = 35,000/264

P(250) = 132.58

The domain of the time cannot be negative. So the domain of P is [0, ∞].

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The complete question is:

The population of Sasquatch in Portage County can be modeled by the function P(t) = 140t/(t + 14) where t represents the number of years since 1803. Find and interpret P(0) and P(250). Discuss with your classmates what the applied domain and range of P should be.

The quotient is x³-3x²-3x+9 and the remainder is -33.

Synthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor.

When we divide a polynomial p(x) by a linear factor (x - a) (which is a polynomial of degree 1), Q(x) is the quotient polynomial and R is the remainder.

p(x)/q(x) = p(x)/(x- a) = Quotient + (Remainder/(x - a))

p(x)/(x - a) = Q(x) + (R/(x - a))

Given that, (x⁴-12x²-6)/(x+3)

Here, (x⁴+0x³-12x²+0x-6)/(x+3)

Now,

-3| 1   0   -12   0   -6|

  |     -3    9   9   -27|

________________

    1  -3   -3   9    |-33

So, remainder = -33 and quotient = x³-3x²-3x+9

Therefore, the quotient is x³-3x²-3x+9 and the remainder is -33.

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Answer:

I believe the answer is 273

Step-by-step explanation:

The unshaded part would be an area of 273 because the base is 26 and the height 21. You times that and divide it by 2.

Along with that times the whole rectangle (26 x 21 = 546)

Subtract 546 and 273 and get 273.

The value of x in the figure is 3

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Given;

The ratio of line segment QP=2:6

The ratio of line segment RP=X:9

Now, to find x

2/6=x/9

x=9/3

x=3

Therefore, the value of x according to given ratio will be 3

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Constants are fixed values that never change, whereas variables are values that can change but are often initialized to “0” or another default value because the program's user will supply the actual values.

In programming, a variable is a value that may vary depending on outside variables or data that has been provided to the program. A program normally consists of instructions that tell the computer what to do and data that it utilizes while running.

The correct values for the variables x and y are 8 and 5, respectively.

[tex]3 \times 8 + 2 \times 5=34[/tex]

[tex]24 + 10 =34[/tex]

[tex]\frac{1}{2}\times 8+2 \times 5=14[/tex]

[tex]4 + 10 =14[/tex]

Constants and variables are typically categorized as certain data kinds. Each data type specifies and restricts the data's shape.

An integer expressed as a decimal number or a string of text characters with a set maximum length are examples of data types. Each object in object-oriented programming includes the data variables of the class of which it is an instance.

Therefore, The methods of the object are made to deal with the actual values that are presented to it when it is utilized.

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Answer:

Yes. The two parallelograms are similar.

Step-by-step explanation:

Similarity:

     Two parallelograms are said to be similar when the corresponding sides are in the same ratio.

  [tex]\sf \dfrac{WX}{AB}= \dfrac{3}{2}\\\\\dfrac{XY}{BC}=\dfrac{9}{6} = \dfrac{9 \div 3}{6 \div 3}\\\\[/tex]

        [tex]\sf = \dfrac{3}{2}[/tex]

           [tex]\bf \dfrac{WX}{AB}=\dfrac{XY}{BC}=\dfrac{3}{2}[/tex]

Therefore, two parallelograms are similar.

Answer:

see graph attached

Step-by-step explanation:

The equation that can be used to determine the price of the dress

is x + 0.06x + 35 = 126.16.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Assuming the cost of the dress Francesca bought to be 'x'.

We know, 6% = 0.06 in decimal and  She also paid $35 which was not taxed to have the dress altered.

Therefore, The equation to determine the cost of the dress would be,

x + 0.06x + 35 = 126.16.

1.06x = 126.16 - 35.

1.06x = 91.16.

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The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

The temperature at 6 PM at greater than morning temperature at 6 AM by 1.3° C.

We know initially the temperature is 19.4° C.

The new temperature at noon will be = Temperature at 6 AM + temperature after noon

Keep the values

The new temperature at noon will be = 19.4 + 3.8

Performing addition

The new temperature at noon will be = 23.2° C

Temperature at 6 PM = Temperature at noon - temperature fall between noon and 6 PM

Keep the values

Temperature at 6 PM = 23.2 - 2.5

Performing subtraction

Temperate at 6 PM = 20.7° C

The difference between the temperature = 20.7 - 19.4

Performing subtraction

The difference between the temperature is 1.3° C.

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(A) The British literature class is most likely larger, because the standard deviation is lower.

A high standard deviation suggests that the observed data is very variable around the mean. This suggests that the observed data is widely dispersed. Instead, a modest or low standard deviation would suggest that the majority of the observed data is closely packed around the mean.

The standard deviation measures the degree of dispersion of a set of data. Each data point is compared to the average of all the data points, and standard deviation gives a determined value that indicates whether the data points are clustered together or dispersed.

Hence, when standard deviation is lower the class is most likely to be larger in number.

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Answer: its d

Step-by-step explanation:

Answer:

The answer is C:

y = -x + 2

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Answer:The term glycol does not indicate a lack of glucose.

Step-by-step explanation:The term glycol does not indicate a lack of glucose, it refers to a specific class of organic compounds which are characterized by having two hydroxyl groups (-OH) on adjacent carbon atoms. Common examples include ethylene glycol and propylene glycol which are used in a variety of industrial and commercial applications such as antifreeze, coolants, and solvents.

Answer:

Glycopenia

Step-by-step explanation:

This is where the body lacks or shortage of glucose in the body which is properly needed.

If the equation to model his altitude(y) in feet, in terms of the number of feet he bicycled(x) is y = 1/20x + 5000 , then the rate of change in altitude as he traveled is described by the fraction "1/20" .

The rate of change in altitude(y) as Zach traveled can be described as the slope of the line represented by the equation y = 1/20x + 5000. In this equation, the slope is 1/20.

The slope of a line is also called as the "rise over run", represents the change in y (altitude) per change in x (distance traveled). So in this case, the slope of 1/20 means that for every 20 feet Zach travels, his altitude changes by 1 foot.

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Answer: 19.56z - 9

Step-by-step explanation: Hello!  Here are the steps to solve this problem:

14.33z - 3 - (6 - 5.23z).  

Firstly, you have to use the distributive property and distribute -1 to the parentheses using PEMDAS, Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

14.33z - 3 + -1(6 - 5.23z)
14.33z - 3 + (-6 + 5.23z)
14.33z + (-3) + (-6) + (5.23z)
14.33z + (5.23z) + (-3) + (-6)
(14.33z + 5.23z) + (-3 - 6)
19.56z + (-3 - 6)

19.56z + (-9)
19.56z - 9.

The correct answer is that all the options are correct. Therefore option E is the correct option which states that all these answers are correct.

During the 1950s in the United States, married women who worked outside the home faced social pressures to stay at home with their children, but despite these pressures, the number of married women working outside the home increased throughout the decade. By the end of the 1950s, married women who worked outside the home accounted for nearly one-third of all married women.

It is worth mentioning that during that time, there were many societal expectations that women should be homemakers, and it was not as common for married women to work outside the home as it is today. Additionally, discrimination, lack of opportunities and lower wages for women further decreased the number of working women. However, during the 50s women started to participate more in the workforce, and that trend continued to increase in the following decades.

Therefore, The correct answer is that all the options are correct. Therefore option E is the correct option which states that all these answers are correct.

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Answer: 25.90

Step-by-step explanation:

Answer:

y = 57.2 - 7.15x

Step-by-step explanation:

Let y represent the number of gigabytes left, and let x = number of games.

Originally, y = 57.2.

Each game will occupy 57.2/8 gigabytes = 7.15 gigabytes.

x games occupy 7.15x gigabytes, so for x games loaded on his computer,  the gigabytes left go down by 7.15x.

The equation is

y = 57.2 - 7.15x

According to the concept of average it will take 3 days in order to get a "no homework" day.

The term called average in math is defined as the number you get when you add two or more figures together and then divide the total by the number of figures you added.

Here we know that Mrs. Bready has a large bag filled with red and green cards. She tells the class that 15% of the cards are red and 85% are green.

And here we need to determine the average number of days that it will take in order to get a "no homework" day based on these 5 trials,

Then the following calculation must be performed as,

=> 0.85 x 0.85 x 0.85 x 0.85 x 0.85 = X

=>  x = 0.4437

Hence it will take 4.2 days in order to get a "no homework" day.

Here we have already know that the first trial is carried out then we have to subtract it from the total number then we get,

=> 4.2 - 1 = 3.2

When we round off the value then we get 3.

Therefore, option (b) is correct.

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Answer:

y - 8 = -1 (x + 4)

Step-by-step explanation:

I don't know if your suppose to solve it but i'll do it anyway

y - 8 = -1 (x+4)

y - 8 = -1x - 4

y - 8 +8 = -1x -4 +8

y = -1x + 4

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-4)}) \implies y -8= -1 (x +4) \\\\\\ y-8=-x-4\implies {\Large \begin{array}{llll} y=-x+4 \end{array}}[/tex]

Answer: After doing the problem I got,  -4x-2