The solution to the given inequality problem is;
q < 56
We are given the equation;
q + 12 - 2(q - 22) > 0
Step 1; Using distributive property, distribute 6 to the numbers inside the bracket to get;
q + 12 - 2q + 44 > 0
Step 2; Combining similar terms on the left side and simplifying gives us;
56 - q > 0
Step 3; Using addition property of equality, add q to both sides;
56 - q + q > 0 + q
q < 56
Thus, the final solution is q < 56
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Simplify the equation and write the answer without negative exponents
Manufacturer of batteries routinely tests its products to determine lifetime (hours of continuous usage). suppose they select a sample of 30 aaa batteries and find that the average lifetime is 1500 hours.
Supposed to angles are supplementary and one of them measures 31° what is the measure of the other angle
3
minutes to walk
37.5
meters. What is its speed?
On Sunday, a local hamburger shop sold a combined total of 396 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
The local hamburger shop sold 99 hamburgers on Sunday. This was derived using algebraic equations based on the information provided in the word problem.
Explanation: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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The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line? Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).2/3
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]
What is the value of x in the equation 2x – 3 = 9 – 4x?
How do I solve this equation? I need a refresher on Algebra.
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.
Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x, where f(x) gives the number of comic strips and x is the number of work hours he puts in, which varies day to day. If he puts in {3, 4, 6, 7, 9} work hours, how many comic strips can he write? {3, 4, 6, 7, 9} {3, 12, 18, 24, 27} {9, 12, 18, 21, 27} {2, 4, 6, 8, 10}
A tank whose volume is unknown is divided into two parts by a partition. one side of the tank contains 0.03 m3 of refrigerant-134a that is a saturated liquid at 0.9 mpa, while the other side is evacuated. the partition is now removed, and the refrigerant fills the entire tank. if the final state of the refrigerant is 208c and 280 kpa, determine the volume of the tank.
Choose all the answers that apply. What is the freezing point of water? 0°C 0°F 32°C 32°F
solve for the indicated variable. p=×+y+z for y
i need help 7th grade 13 + p + - 4 3
712 ÷ 74 is equal to _____. 13 3 73 78
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:
33-6(1 1/3+ 2/3)= ? what does it equal?
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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py+7=6y+q solve for y
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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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. If the perimeter of the deck is 68 feet, what are the lengths of the three sides?
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.
A family went on vacation and used 5.4 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they need to travel 200 more miles?
7.2 total gallons of gasoline they will need to travel 200 more miles.
What is Distance?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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8 ten thousands 4 thousands 3 hundreds 6 tens 7 ones in Standard form
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.
What is the place value of a digit in a number?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 place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiplied by 10The tenth means the tenth part of that digit which is that digit divided by 10The 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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How many tens are in 3,100
How to get the answer
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
Write an equation to find two consecutive odd integers whose product is 143. (A). x(x+2)+143=0 (B). x(x+1)=143 (C.) x2+2x‒143=0 (D.) x2+x=143
Simplify the expression (1/4ab)^-2. Assume .
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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use properties to find 4 times 23 times 25
Answer:
2300
Step-by-step explanation:
The graph below represents the running schedule of a distance runner, who is increasing the distance she runs each week. What is the distance she will run in the ninth week?
A. 22 miles
B. 21 miles
C. 20 miles
D. 19 miles (My answer???)
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.
Irrigation improves the yield of strawberries per acre according to the function S=-(w-2)^2 +50 where S is the number of pints of strawberries grown per acre and w is the acre-feet of water used. Strawberries sell for $3 per pint and water costs $5 per acre-foot. Graph the yield function.
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. Find the cost of downloading 35 songs.
The equation is c = 9.95 + 0.30s. Then the cost of downloading 35 songs will be $20.45.
What is a linear equation?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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Which Rate Does Not Belong With The Other Three. Explain
60 mi/h
88 ft/s
500 ft/min
1,440 mi/day
88ft/s
hop this helps
A) a cookie jar contains 8 chocolate chip cookies, 4 peanut butter cookies, and 7 sugar cookies. you reach in (you can't see inside) and withdraw 4 cookies without replacement. what is the probability that you got exactly 2 chocolate chip cookies?
2x+5=10
Solve for x