From the set {12, 22, 25}, use substitution to determine which value of x makes the inequality true 3x < 66
A difference between two values indicates whether one is smaller, larger, or simply not equal to other. From the set {12, 22, 25}, value of x makes the inequality true 3x < 66 is 12.
What do you mean by inequality?Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. a week ago.
A difference between two values indicates whether one is smaller, larger, or simply not equal to other.
A and B claim that they are not equal.A must be less than B if A = B.An is greater than b when a > b. These two constitute tight inequity.A must be smaller than or equal to b when dividing a by b.An is greater than b if a and b are equal.To know more about inequality visit: https://brainly.com/question/20383699
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Part 2: Find the volume of the shipping box using the total number of fish food cubes. Step 1: Find the volume of the fish food cube. Remember to include units. Volume of the fish food cube = _____ × _____ × _____ = __________ Step 2: Find the volume of the shipping box using your answer from Part 1. Remember to include units. Volume of the shipping box = _____ × _____ = __________ Part 3: Find the volume of the shipping box using a volume formula. Remember to include units. V = l × w × h = _____ × _____ × _____ = __________ Are your answers for the volume of the shipping box in Parts 2 and 3 equal? Why or why not?
The volume of one fish food cubes is: 1/64 ft³
Using the volume formula, the volume of the shipping box is: 15/4 × 3 × 13/4 = 585/16 ft³
The number of fish food cubes that can be packed in the shipping box is: 2,340 fish food cubes.
What is the Volume of a Box and a Cube?The volume of a box = length × width × height
A cube has equal side lengths, therefore, the volume of a cube = (side length)³ = side length × side length × side length.
We are given that the fish food cubes have side lengths of 1/4 ft. Therefore:
Volume of fish food cubes = 1/4 × 1/4 × 1/4
Volume of fish food cubes = (1 × 1 × 1)/(4 × 4 × 4)
Volume of fish food cubes = 1/64 ft³
Using the volume formula, we are given the parameters of the box as:
Length (l) = 3¾ = 15/4 ft
Width (w) = 3 ft
Height (h) = 3¼ = 13/4 ft
Therefore,
Volume of shipping box = 15/4 × 3 × 13/4
Volume of shipping box = (15 × 3 × 13)/(4 × 4) = 585/16 ft³
The number of fish food cubes that can be packed in the shipping box = volume of shipping box/volume of one fish food cube
= 585/16 ÷ 1/64
= 585/16 × 64/1
= (585 × 64)/(16 × 1)
= 37,440/16
= 2,340 fish food cubes.
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You have $28 to go bowling. It costs $3.00 to rent a pair of bowling shoes and $3.25 per
game. At most, how many games will you be able to bowl?
Answer: 7 games
Explanation:
1. take the information and put it into a equation (being y=3.25x+3 or f(x)=3.25+3)
2. replace the x with a whole number because you can't bowl half a game.
Ex: f(3)=12.75 or f(6)=22.50
3. The highest you can go without going over your money is 7 games ($25.75) leaving you with a total of 2.25.
Hope this helps :)
How many tiles measuring 20cm by 50cm are needed to completely cover a wall 4m by 8m?
The number of tiles measuring 20cm by 50cm that are needed to completely cover a wall 4m by 8m is :320.
Number of tiles neededFirst step is to convert the Meters to Centimeters
4m = 400cm
8m = 800 cm
Hence,
4m by 8m = 400 cm × 800 cm
4m by 8m = 320,000 cm²
Second step is to determine the how many tiles are needed
Number of needed tiles = 320,000 cm² / ( 20 cm × 50 cm)
Number of needed tiles = 320,000 cm² /1,000 cm²
Number of needed tiles = 320
Therefore 320 tiles are needed.
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Here are two expressions whose sum is a new expression, A.
(2x²+5)+(6x0-7)=A
Select all the values that we can put in the box so that A is a polynomial.
All the values that we can put in the given box so that A is a polynomial,
[tex]A=(2x^{2} +5-7)\\A =2(x^{2} -1)\\A=2(x+1) (x-1)[/tex]
[tex]x[/tex] can take any value except ±1.
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Under her cell phone plan, Sydney pays a flat cost of $35.50 per month and
$5 per gigabyte. She wants to keep her bill under $50 per month. Write and
solve an inequality which can be used to determine a, the number of
gigabytes Sydney can use while staying within her budget.
The number of gigabytes that Sydney can use while staying within her budget is less than 2.9 gigabytes.
What are gigabytes?gigabytes (GB) – pronounced with two hard Gs – is a unit of storage capacity equal to approximately 1 billion bytes. In decimal form (base 10), a gigabyte is exactly one billion bytes. In binary form, a gigabyte is 230 bytes or 1,073,71,82 bytes. Giga comes from the Greek word for giant. Werner Buchholz is credited with coining the term byte in 1956 and helped design IBM's 7030 Stretch, the first transistorized supercomputer.
gigabytes has been a common unit of measurement for data storage products since the mid-1980s. In recent years, terabytes (TB) have become a more common measure of storage capacity, especially for hard drives and solid-state drives.
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Elisabeth has 10 princess movies, but can only take four of them to her sleepover.
How many different combinations of movies can she take?
Help again pleaseeee
Finding a grouping, ordering, or assignment of a discrete, finite set of things that complies with predetermined requirements is the goal of combinatorial issues.
She has 210 different combinations.
What is meant by combinatorial methods?A new wave of research methodology called the combinatorial approach to materials seeks to greatly speed up the discovery and development of novel substances.
The area of mathematics concerned with finding solutions to conundrums involving the selection and arrangement of parts of particular (often finite) sets in line with predetermined norms.
Finding a grouping, ordering, or assignment of a discrete, finite set of things that complies with predetermined requirements is the goal of combinatorial issues. Candidate solutions are combinations of solution elements that could be found while trying to find a solution, but they don't have to meet all the requirements.
So, she has [tex]$C_1^4=\frac{A H}{A \frac{A}{4}}=\frac{10 \times 2 \times 8 \times 7}{1 \times 2 \times 3 \times 4}=210$[/tex]
So she has 210 different combinations.
[tex]$c_{1=}^4=\frac{4 \%}{A f}$[/tex]
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Expand and simplify
(√15-√3)²
Give your answer in the form b-c√5
where b and c are integers.
[tex] = ( \sqrt{15} - \sqrt{3} )( \sqrt{15} - \sqrt{3} ) \\ = \sqrt{15} ( \sqrt{15} - \sqrt{3} ) - \sqrt{3} ( \sqrt{15} - \sqrt{3} ) \\ = 15 - \sqrt{45} - \sqrt{45} + 3 \\ = 15 + 3 - 2 \sqrt{45} \\ = 18 - 2( \sqrt{9 \times 5} ) \\ = 1 - 2(3 \sqrt{5} ) \\ = 1 - 6 \sqrt{5} [/tex]
ATTACHED IS THE SOLUTION
The temperature was 98 degrees last Friday. Wednesday it was 24 degrees
cooler. Which expression represents the relationship in the temperature
between Friday and Wednesday?
Answer:
98 + (-24)
Step-by-step explanation:
Determine the total number of roots of each polynomial function.
g(x) = 5x - 12x²+3
What Is the equation of a line that passes through the coordinates (4,1) and (1,4)
Equation of the line is x +y = -5.
What is equation?Equation is a declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
Given Data
coordinates (4,1) and (1,4)
A line is singular if you are aware that it goes through two specific coordinates (x₁ , y₁) and (x₂ , y₂) .The equation for the line is if the points are
[tex]\frac{x - x}{x_{1} - x}[/tex]¹₂ = [tex]\frac{y - y_{1} }{y_{1}- y_{2} }[/tex]
Equating coordinates:
[tex]\frac{x-4}{4-1}[/tex] = [tex]\frac{y-1}{1-4}[/tex]
[tex]\frac{x-4}{3}[/tex] = [tex]\frac{y-1}{-3}[/tex]
Cross multiplying,
-3(x-4) = 3(y-1)
-3x + 12 = 3y -3
3x + 3y = -15
x +y = -5
Equation of the line is x +y = -5.
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answer the 2 questions in the photo for a brainliest
Answer:
180 Degrees for both
they are symmetrical therefore 180 degrees
 I REALLY NEED HELP WITH THIS!!
Determine the angles of a rotation
A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise
is 2 correct answers ❗️
Answer: B) 90º counterclockwise
Step-by-step explanation:
First, let us look at clockwise vs counterclockwise. Clockwise is in the direction of a clock, spinning around to the right. Counterclockwise is the opposite, spinning to the left.
A) 90º clockwise
➜ This is 90 degrees to the right.
B) 90º counterclockwise
➜ This is 90 degrees to the left
C) 180º
➜ This is directly flipped.
D) 270º clockwise
➜ This is 270 degrees to the right.
E) 270º counterclockwise
➜ This is 270 degrees to the left.
We will look at the answer options and decide which makes the most sense. This looks to be option B, 90º counterclockwise as shown in the image attached.
Bunting has been hung in a straight line
between a wall and a house, as shown
below.
Calculate the height, p, of the house.
Give your answer in metres to 2 d.p.
36°
2.64 m
5.47 m
Not drawn accurately
Bunting has been hung in a straight line between a wall and a house, then the height, P, of the house P = 6.61 m.
Third angle in a triangle = 180 - (90+36)
= 180-126
= 54°
So,
Third angle in a triangle = 54°
We can use Sin rule,
Then, we get,
[tex]\frac{Sin A}{BC} =\frac{Sin B}{AC} =\frac{Sin C}{AB}[/tex]
Based on the given condition,
We can write,
Sin A = 54°
Sin B = 36°
BC = 5.47
Then,
Sin 54°/5.47 = Sin 36°/AB
Hence, Sin 54° = 0.8090
Sin 36° = 0.5877
[tex]\frac{0.8090}{5.47} =\frac{0.5877}{AB}[/tex]
AB = [tex]\frac{0.5877 * 5.47}{0.8090}[/tex]
AB = [tex]\frac{3.2147}{0.8090}[/tex]
AB = 3.97 m
So,
Height , P = 2.64 + 3.97
P = 6.61 m.
Therefore,
We can use triangle formula, then the height, P, of the house P = 6.61 m.
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If h(x)=x^2/f(x) and f(3) = 2 and f'(3) = 4, then h' (3) = -12.
true
false
Answer:
FALSE.
Step-by-step explanation:
Given:
h(x)=x^2/f(x) f(3) = 2 f'(3) = 4To Find:
Whether h'(3) = -12 or not.Formula used:
For a function y = f(x)/g(x), the differentiation of y is defined as y' = [f'(x)*g(x) - g'(x)*f(x)]/(g(x))^2. This is know as quotient rule of differentiation.Using the above formula, we have
h'(x) = [2x*f(x) - f'(x)*x^2]/(f(x))^2
So, h'(3) = [2*3*2 - 4*(3)^2]/(2)^2
h'(3) = (12-36)/4
h'(3) = -24/4 = -6
So, h'(3) = -6 and not -12.
So, the given value is FALSE.
Solve the proportion.
I WILL USE CROSS MULTIPLICATION
[tex]t(1.3) = 6.5(1.2) \\ 1.3t = 7.8 \\ \frac{1.3t}{1.3} = \frac{7.8}{1.3} \\ t = 6 [/tex]
ATTACHED IS THE SOLUTION
In the circle,o is the centre and ab is the diameter
Answer:
centre =
diameter = ab
radius = (ab)/2
Step-by-step explanation: hope this helps
Find the positive difference between 16 and -2
[tex] = 16 - ( - 2) \\ = 16 + 2 \\ = 18[/tex]
The positive difference is 18.
Suppose a jar contains 11 red marbles and 38 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.
22.44% probability that the marbles are red, 77.55% probability that they are blue
Factor out the coefficient of the variable term 6s-3/4
The coefficient of the variable term in the equation 6s - 3/4 is 6. The variable term is s while the constant term is -3/4
How to find the coefficient of the variable termgiven data
6s-3/4
The coefficient of the variable term is the number multiplying the variable term. The variable term in the equation is "s"
The number in the given equation is 6
The equation could be written as
6 * s - 3/4
from the rewritten equation we can see that 6 is multiplying the variable and hence the coefficient.
The other term in the equation is constant term and this is - 3/4
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In a certain chemical, the ratio of zinc to copper is 3 to 16 A jar of the chemical contains 528 grams of copper. How many grams of zinc does it contain?
Answer:
99 grams of zinc
Step-by-step explanation:
Ser up a proportion
[tex]\frac{zinc}{copper}[/tex] = [tex]\frac{zinc}{copper}[/tex] Put in the ration and the actual amount of copper i and solve for the actual number of zinc
[tex]\frac{3}{16}[/tex] = [tex]\frac{z}{528}[/tex] cross multiply to solve for z
16z = 3(528)
16z = 1584 Divide both sides of the equation by 16
z = 99
4x-6(3x+4)
please help, i cannot find an answer :( (Ill give crown or wtv)
Answer:
Is this correct??
if yes then reply
Answer/Step-by-step explanation:
I don't know whether to distribute -6 or multiply 4x - 6 by 3x + 4. So I'll do both.
1. Multiply
(4x - 6)(3x + 4)
4x (3x + 4) - 6 (3x + 4)
12x² + 16x - 18x - 24
12x² - 2x - 24
2. Distribution
4x - 6(3x + 4)
4x - 18x - 24
-14x - 24
I hope either of my answers helps!
Denver,Colorado often experiences snowstorms resulting in multiple inches of accumulated snow. During the last snow storm, the snow accumulated at 4/5 inch/hour. If the snow continues at this rate for 10 hours, how much snow will accumulate?
Answer:8
Step-by-step explanation:if it is 4/5 per hour then you mulitply 4/5 x 10
and 4/5=.8
.8 x 10=8
cheryl works 5 hours each day for 7 days a week she earns £490 each week how much does cheryl earn per hour
Answer:
14 pounds per hour
Step-by-step explanation:
[tex] \frac{490}{7\times 5} = \frac{490}{35} = 14[/tex]
Felicity put down $800 on a used car. She took out a loan to pay off the balance of the cost of the car. Her monthly payment will be $175. After 9 months how much will she have paid for the car?
Enter your answer in dollars.
Convert 98 pounds to kilograms. (1 pound = 0.454 kilogram) 444.92 kilograms 216 kilograms 44.492 kilograms 21.6 kilograms
The conversion of 98 pounds to kilograms is 44.5 pounds.
This is a question of conversion of weights.
Unitary method
The unitary method is used to find the value of a single unit from a given multiple. For example, the price of 40 pens is Rs. 400, then how to find the value of one pen here.
Also, once we have found the value of a single unit, then we can calculate the value of the required units by multiplying the single value unit.
We know that,
1 pound = 0.45359237 kilograms ≈ 0.454 kilograms
Hence, using unitary method, we can write,
98 pounds = 98*0.454 kilograms = 44.492 kilograms ≈ 44.5 pounds.
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Evaluate,f(-4) for f(x)=-x^2-4x+42
Please explain by step by step please!
The output value of f( -4 ) in the function f(x) = -x² - 4x + 42 is 42
What is the output value of f( -4 ) in the given function?A function is simply a relationship that maps one input to one output. Every x-value can only have one y-value to qualify as a function.
Given the data in the question;
f( x ) = -x² - 4x + 42f( -4 ) = ?To find the output value of f( -4 ), replace all the occurrence of x with -4 in the function and simplify.
f( x ) = -x² - 4x + 42
f( -4 ) = -(-4)² - 4(-4) + 42
f( -4 ) = -( 16 ) + 16 + 42
f( -4 ) = -16 + 16 + 42
f( -4 ) = 42
Therefore, the output value of f( -4 ) is 42, this forms an ordered pair of (-4, 42).
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Tessa has a coin jar full of dimes and pennies. When she took the coin jar to the bank, she was told that it contained exactly $27.34. Give three different combinations of the number of dimes and pennies that could have been in the coin jar.
Answer:
Step-by-step explanation:
Note: In solving our problems below, we will use the value of the coins in dollars which are listed under the third column in the table above. As you can see, the penny has a value of 0.01, the nickel has a value of 0.05, the dime has a value of 0.10, and the quarter has a value of 0.25
3. Solve the compound inequality −2(x + 1) < 4 and
4x +1 -3. Graph the solution.
Find the Greatest Common Factor (GCF):
70x³z, 45y4z²
The greatest common factor for the given expression is 5z.
What is GCF?
The greatest common factor, which is the product of two or more numbers, is the largest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's factors have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF). The highest number that is a factor of all the numbers is known as the greatest common factor of two or more numbers.
Given, the first expression is: y₁ = 70x³z = 5z.14x³ -(i)
Also, the second expression is: y₂ = 45y4z² = 5z.36yz -(ii)
Comparing (i) and (ii), the greatest common factor for y₁ and y₂ is 5z.
Thus, the greatest common factor for the given expression is 5z.
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