solve q+12-2(q-22)>0

The local hamburger shop sold 99 hamburgers on Sunday. This was derived using algebraic equations based on the information provided in the word problem.

The problem provided is a classic case of algebraic translation from a word problem. Given that a local hamburger shop sold a total of 396 hamburgers and cheeseburgers, with the number of cheeseburgers being three times the number of hamburgers, we can solve this problem using simple algebraic equations.

Let's denote the number of hamburgers as H and the number of cheeseburgers as C. We know from the problem that C = 3H and that H + C = 396. We substitute C into the second equation to get H + 3H = 396, which simplifies to 4H = 396.

Finally, divide both sides by 4 to solve for the number of hamburgers: H = 396 / 4 = 99. Thus, the hamburger shop sold 99 hamburgers on Sunday.

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7.2 total gallons of gasoline they will need to travel 200 more miles.

Distance is the total speed of an object. This is regardless of direction. It is also defined as multiplying the speed of an object by the total time taken by the object to travel the length of its path.

Distance = Speed * Time

It's SI unit is metre (m).

It is a scalar quantity which has no direction. It only has magnitude means only value.

For above given example,

For 150 miles 5.4 gallons gas is used

so, for 1 mile 0.036  gallon will be used

So, For more 200 miles= 0.036*200

                                     = 7.2 gallons of gas will be used

Thus, 7.2 total gallons of gasoline they will need to travel 200 more miles.

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Answer:  The required lengths of the three sides of the deck are 17 feet, 23 feet and 28 feet.

Step-by-step explanation:  Given that the  second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side.

The perimeter of the deck is 68 ​feet.

We are to find the lengths of the three sides of the deck.

Let x feet be the length of the shortest side.

Then, according to the given information,

the length of the second side = (x+6) feet

and

the length of the third side = (2x-6) feet.

Since the perimeter of the deck is 68 feet, so we must have

[tex]x+x+6+2x-6=68\\\\\Rightarrow 4x=68x=\dfrac{68}{4}\\\\\Rightarrow x=17.[/tex]

Therefore the lengths of the three sides are

  17 feet, (17+6) feet and (2×17-6) feet

= 17 feet, 23 feet and 28 feet.

Thus, the required lengths of the three sides of the deck are 17 feet, 23 feet and 28 feet.

Answer:

2300

Step-by-step explanation:

88ft/s

hop this helps

sqrt(16) = 4

sqrt4 = 2

2^2 = 4

 so now you have 4-6(4)/2

6*4 =24

4-24 = -20

-20/2 = -10

Final answer:

To solve an algebraic equation, identify knowns, find suitable equations, simplify algebraically, substitute known values, solve for the unknown, and check if the answer is reasonable.

Explanation:

To solve an algebraic equation, follow these systematic steps:

Firstly, identify the knowns and make a list of what is given or can be inferred from the problem.

Then, find the appropriate equation or set of equations that contain the unknown you need to solve for.

Simplify the algebra by eliminating terms wherever possible. This might require algebraic rearrangement such as dividing terms or multiplying both sides of the equation to isolate the unknown.

Substitute the known values into the equation.

Solve for the unknown and make sure to include units where necessary.

Finally, always check your answer to see if it is reasonable and makes sense.

These steps should yield a solution that is both accurate and verifiable.

The equation is c = 9.95 + 0.30s. Then the cost of downloading 35 songs will be $20.45.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The equation 9.95 + 0.30s = c gives the cost c in dollars that a website charges for downloading songs. The variable s stands for the number of songs downloaded.

Then the cost of downloading 35 songs will be given as,

c = 9.95 + 0.30s

c = 9.95 + 0.30 x 35

c = 9.95 + 10.5

c = $20.45

The cost of downloading 35 songs will be $20.45.

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The value of each digit in a number is known as the place value.  The given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form is 84,367.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form can be written as,

8 ten thousand = 8 × 10,000 = 80,000

4 thousand = 4 × 1,000 = 4,000

3 hundred = 3 × 100 = 300

6 tens = 6 × 10 = 60

7 ones = 7

Numbe = 80,000 + 4,000 + 300 + 60 +7 = 84, 367

Hence, the given number 8 ten thousand 4 thousand 3 hundred 6 tens 7 ones in the Standard form is 84,367.

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Answer:

[tex]\frac{712}{74}=9.62[/tex]

Step-by-step explanation:

Given, [tex]\frac{712}{74}[/tex]

The numerator part means upper value of fraction and upper value of fraction   is called Dividened.

The denomerator part  means lower part of fraction and lower value  of fraction  is called Divisor.

The value obtained  when  the numerator is divided by denomerator is called Quotient.

Now, there is 712 is Dividened  and 74 is Divisor.

Now,after  dividing 712 by 74 we get  quotient value 9.62.

Hence , [tex]\frac{712}{74} =9.62[/tex]

Therefore, the correct answer is 9.62.

Answer:

7^8

Step-by-step explanation:

To solve the expression 33-6(1 1/3+ 2/3), first simplify the expression within the parentheses with the Order of Operations. Then, perform the multiplication. Finally, subtract the result from the initial value of 33.

To solve the expression 33-6(1 1/3+ 2/3), we need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, we simplify the expression within the parentheses:

1 1/3 + 2/3 = 2.

Next, we perform the multiplication: 6 * 2 = 12. Finally, we subtract the result from 33: 33 - 12 = 21.

Therefore, the expression 33-6(1 1/3+ 2/3) equals 21.

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We know that we are solving for y.

This is a step by step procedure to get the value of y.

First: Move all terms to the left side and set equal to zero.

Second: Then set each factor equal to zero.

The application is:

Given: py+7=6y+q 

-6y -7 -6y -7 = 0

(p-6)y = q-7

divide both sides by p-6
y=(q-7)/(p-6)

Answer is y = (q – 7) / (p – 6) 

The solution of expression for y as,

⇒ y = (q - 7) / (p - 6)

We have to given that,

An expression is,

⇒ py + 7 = 6y + q

Now, We can simplify the expression for y as,

⇒ py + 7 = 6y + q

Subtract 6y both side,

⇒ py - 6y + 7 = 6y + q - 6y

Subtract 7 both side,

⇒ py - 6y = q - 7

⇒ y (p - 6) = (q - 7)

Divide both side by (p - 6);

⇒ y = (q - 7) / (p - 6)

Therefore, The solution of expression for y as,

⇒ y = (q - 7) / (p - 6)

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After simplification, the solution is,

⇒ 16a²b²

We have,

The given expression to simplify is,

⇒ (1 / 4ab)⁻²

Now, We can simplify the expression by rule of exponent as,

⇒ (1 / 4ab)⁻²

⇒ (4ab)²

⇒ 4² × a² × b²

⇒ 16a²b²

Therefore, The solution is,

⇒ 16a²b²

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we know that

If two lines are perpendicular, then the product of their slopes is equal to minus one

so

[tex]m1*m2=-1[/tex]

In this problem we have

[tex]m1=\frac{2}{3}[/tex]

Substitute in the formula and solve for m2

[tex]\frac{2}{3}*m2=-1[/tex]

[tex]m2=-\frac{3}{2}[/tex]

therefore

the answer is

The slope is equal to [tex]-\frac{3}{2}[/tex]

Answer: The answer is (D) 19 miles.

Step-by-step explanation:  We are given a graph that represents the running schedule of a distance runner, who is increasing the distance she runs each week. We are to find the distance she will run in the ninth week.

In the graph, the number of week are represented by the X-axis and the distance run is represented by the Y-axis.

Since we are to find the distance run in the ninth week, so we will have to find the value of y when the value of x is 9.

We can see from the graph that when x = 9, then y = 19, as (9, 19) is a point on the graph. So, the distance run in the ninth week is 19 miles.

Thus, (D) is the correct option.