How many factors in the expression 8(+4)(y+4)(z²+4z+7)have exactly two terms?
Kim is 4 years older than one third the age of her sister. Kim is at least 9 years old. How old could her sister be?
a truck carried 31/3 tons of sand, but lost 1/4 ton along the way. How many tons of sand were delivered?
mrs.tim bought a dres prices at 98.25 of the sale tax is 6 percent what is the total amount she paid for the dress
Omar is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, his weight is 204 pounds. Write and solve a linear equation to find how many weeks it will take Omar to reach his target wait of 180 pounds.
Hence, the linear equation of number of weeks required Omar to reach his target wait of [tex]180[/tex] pounds is [tex]x=12[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Omar is on a diet to lose some weight. He is losing weight at a rate of two pounds per week. After six weeks, his weight is [tex]204[/tex] pounds.
So,
[tex]204-180=24[/tex]
[tex]\frac{24}{2}= 12[/tex]
It would be [tex]12[/tex] weeks.
Then the equation is
[tex]180[/tex] pounds is [tex](-2x+204)[/tex] pounds
[tex]2x=24[/tex]pounds
[tex]x=12[/tex] weeks
Hence, the linear equation of number of weeks required Omar to reach his target wait of [tex]180[/tex] pounds is [tex]x=12[/tex].
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Rhea arrived at the mall at 3:45 pm she spent 45 minutes having lunch and then she shopped for 55 minutes before leaving the mall. How much time disregard spend at the mall
Rhea spent 1 hour and 40 minutes at the mall.
Explanation:To find the total time Rhea spent at the mall, we need to add the time she spent having lunch and the time she spent shopping. Rhea spent 45 minutes having lunch and 55 minutes shopping, so the total time she spent at the mall is 45 minutes + 55 minutes = 100 minutes. Since there are 60 minutes in 1 hour, we can convert 100 minutes to hours by dividing by 60. 100 minutes ÷ 60 = 1 hour and 40 minutes. Therefore, Rhea spent 1 hour and 40 minutes at the mall.
What is the value of 2x{6+[12 divided by (3+1)]}-1
The value of the given expression 2x{6+[12 divided by (3+1)]}-1 is 17 when following the order of operations.
Explanation:To solve the mathematical expression 2x{6+[12 divided by (3+1)]}-1, the first thing you have to do is follow the order of operations, which is abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Step 1: Solve the operation within parentheses, 12 ÷ (3+1) = 12 ÷ 4 = 3.
Step 2: Subtitute the result back into the equation, 2x{6+[3]}-1.
Step 3: Solve the operation within brackets, {6+[3]} = {9}.
Step 4: Substitute the result back into the equation, 2x{9}-1 = 2x9 - 1 = 18 -1 = 17.
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What to the power of 3 equals 729
To find what number to the power of 3 equals 729, we can experiment with cubes of small numbers. We quickly identify that 9 cubed (9×9×9) equals 729, which means 9 is the correct answer.
Explanation:The question is asking to find the number that, when cubed (raised to the power of 3), is equal to 729. This operation is also referred to as finding the cube root.
Firstly, let's investigate through experimentation. We know that cubing of exponentials involves raising a number to the power of three. For instance, 2 cubed is 2×2×2, which equals 8. Now, we're looking for a number that when cubed, results in 729.
If you try to cube smaller numbers, you'll see that cubing 8 gives us 512 and cubing 9 gives us 729. The cube of 9, written as 9×9×9, indeed equals 729. Therefore, 9 to the power of 3 equals 729.
When it comes to numbers that are not as straightforward, a calculator or understanding of cubing of exponentials would be necessary. However, in this case, through simple experimentation and knowledge of cube numbers, we have found that 9 is the number sought.
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what is the answer of (-1/4 subtracted by 1/2) divided by (negative 4/7)
If your pencil is 20 cm long how many millimeters is it
To convert a pencil length of 20 centimeters to millimeters, multiply by 10, resulting in 200 millimeters.
If your pencil is 20 cm long, to convert this measurement to millimeters, you simply need to use the conversion factor that there are 10 millimeters in 1 centimeter. So, you multiply the length in centimeters by 10 to get the length in millimeters.
20 cm times 10 mm/cm = 200 mm
Therefore, a pencil that is 20 cm long is 200 millimeters long.
what is equal to
2x+8-22x=-2
The area of a square living room is 256 ft2256 ft2. Which is the length of the room?
The length of the square living room is 16 feet.
To find the length of the square living room, we need to calculate the square root of the area.
Given:
Area of the square living room = 256 ft²
Let's denote the length of one side of the square as "s".
The formula for the area of a square is:
Area = side length x side length
256 = s x s
256 = s²
To find the length of the room (s), we take the square root of 256:
s = √256
s = 16
Therefore, the length of the square living room is 16 feet.
The probable question may be:
The area of a square living room is 256 ft^2. Which is the length of the room?
A tank starts out with 860 gallons of liquid. A pump adds liquid to the tank at a constant rate. After 8 hours, the tank contains 1,036 gallons. How many gallons of liquid were pumped per hour?
18
22
176
237
Answer:
B. 22
Step-by-step explanation:
Let x represent number of gallons per hour.
We have been given that a pump adds liquid to the tank at a constant rate. The number of gallons added after 8 hours would be [tex]8x[/tex].
We are also told that the tank starts out with 860 gallons of liquid. So total amount of liquid after 8 hours would be [tex]8x+860[/tex].
The total amount of liquid in the tank after 8 hours is 1,036, so we can represent this information in an equation as:
[tex]8x+860=1,036[/tex]
[tex]8x+860-860=1,036-860[/tex]
[tex]8x=176[/tex]
[tex]\frac{8x}{8}=\frac{176}{8}[/tex]
[tex]x=22[/tex]
Therefore, 22 gallons of liquid were pumped per hour.
Write a description of how a diagram can help you solve 2x40
At Al's catering service they often make a large batch of fruit salad. The recipe for the fruit salad requires 2 cups of apples for every 6 cups of strawberries.
Create a ratio table that compares the cups 2 cups of strawberries into shows the relationship between the two.
A scrapyard had 200 tons of recycled steel. They sold 15 tons per day for several days. If there are fewer than 80 tons left at the scrapyard, how many days, d have passed?
A. Write and inequality to answer this question
B. Solve the inequality
The inequality represent the given situation is 200-15d<80.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given that, a scrapyard had 200 tons of recycled steel.
They sold 15 tons per day for several days.
Let the number of days be d.
Here, the inequality is 200-15d<80
Add 15d on both the sides of an inequality, we get
200-15d+15d<80+15d
200<80+15d
Subtract 80 on both the sides of an inequality, we get
120<15d
Divide 15 on both the sides of an inequality, we get
d>8
Therefore, the inequality represent the given situation is 200-15d<80.
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1. Use the graph to make a prediction for the amount of pay received if the sales are $150.
About $70
About $90
About $80
About $100
2. Use the graph to make a prediction of the number of gallons left in the tank if you drove 150 miles.
9
8
11
Answer:
$90
about 10
Step-by-step explanation:
I took the test
NEEDED ASAP PLEASE
A relation is plotted as a linear function on the coordinate plane starting at point C (0,−1)(0,−1) and ending at point D (2,−11)(2,−11) . What is the rate of change for the linear function and what is its initial value? Select from the drop-down menus to correctly complete the statements.The rate of change is -11, -5, 0, 5.and the initial value is -11, -2, -1, 0.
Answer:
-5,-1
Step-by-step explanation:
I took the test!
0-<
7=6x-11, -2x-3y=-7
What's the answer?
What is the prime factorization of 5184 using exponents
The prime factorization of 5184 using the exponent's rule would be,
5184 = 2⁶ × 3⁴
Given that,
The number 5184.
Used the concept of factorization which states that,
Prime factorization is a method to find the prime factors of a given number, say a composite number. These factors are nothing but prime numbers.
Now, the prime factorization of 5184 is,
5184 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3
By using the exponent's rule it can be written as,
5184 = 2⁶ × 3⁴
Therefore, the prime factorization of 5184 is, 2⁶ × 3⁴ as shown in figure.
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You have purchased an aquarium that is:
3 and 1/4 long
1 and 1/3 wide
1 and 3/4 tall
What is the volume of the tank in cubic feet?
In gallons, what is the amount of water in the tank?
1 inch of fish = 2.25 gallons of water. What is the total length of fish you can safely place in the tank?
I need help :( with this it's kinda confusing
if I add 9 to my number,I get 6.what is my number?
The value of the number such that if we add it to 9 we get 6 will be -3.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation, subtraction, multiplication, and division.
Let's say that number is x such that by adding 9 we get 6.
Add x and 9 ⇒ x + 9
The result must be 6 ⇒ x + 9 = 6
Subtract both sides by 9
x + 9 - 9 = 6 - 9
x = -3
Hence "The value of the number such that if we add it to 9 we get 6 will be -3".
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one cabinet measures 3 feet by 2.5 feet by 5 feet. a second measures 4 feet by 3.5 feet by 4.5 which volume is greater explain
The second cabinet has a greater volume of 63 cubic feet compared to the first cabinet's volume of 37.5 cubic feet.
To compare the volume of the two cabinets, we will calculate the volume for each by multiplying the length, width, and height.
For the first cabinet, the volume is 3 feet x 2.5 feet x 5 feet, which is 37.5 cubic feet.
3 feet x 2.5 feet x 5 feet = 37.5 cubic feet
The second cabinet has a volume of 4 feet x 3.5 feet x 4.5 feet, which equals 63 cubic feet.
4 feet x 3.5 feet x 4.5 feet = 63 cubic feet
Therefore, the second cabinet has a greater volume than the first.
De un pliego rectangular de foami que mide 96 cm de largo por 72 cm de ancho,se requiere cortar cuadros de la mayor superficie posible ¿cual debe ser la longitud del lado de los cuadros ? ¿Cuantos cuadros se pueden obtener?
Clara estimates that the length of a hiking trail is 5.75 km. She later learns that its actual length is 6.25 km. What is the percent error in Clara's estimate, to the nearest tenth of a percent? 7.7% 8.0% 11.0% 11.5%
Answer:
Step-by-step explanation:
8.0%
To make a certain type of dress it takes 2 1/5 yards of material how many yards of materials would it take to make a dozen of those dresses
What is the measure of an angle that turns through one-twelfth (1/12) of a circle?
An angle that turns through one-twelfth of a circle measures 30 degrees.
The measure of an angle that turns through one-twelfth (1/12) of a circle is 30 degrees. A full turn of a circle is 360 degrees, so if we divide that by 12, we get the angle of a single twelfth of a turn. Mathematically, this is calculated as 360 degrees / 12 = 30 degrees. In other terms such as radians, this angle can be calculated as 2π radians (which represents a full turn) divided by 12, giving us π/6 radians, but for middle school mathematics, measuring in degrees is more common.
cole had 3/4 hour of free time before dinner.He spent 2/3 of the time playing the guitar.How lonb did he play the guitar
Cole have 45 minutes of free time and he play the guitar for 30 minutes. That is 2/3 of free time.
How to find time ?Because the number of minutes in an hour is fixed at 60, you can divide any number of minutes by 60 to get a fraction of an hour. For example, 10 minutes equals 10/60 = 1/6 hour, and 24 minutes equals 24/60 = 6/15 hour.
For example, 375 minutes divided by 60 equals 6.25 hours. Multiply that fraction of an hour by 60 to get it back to minutes. In this case,. 25 x 60 = 15, implying that 375 minutes equals 6 hours and 15 minutes.
Although numbers such as 1/6 and 6/15 of an hour are accurate, they are not always easy to compare to other time measurements.
1 hour = 60 minutes meaning 1 whole,
3/4 of an hour = 45 minutes
so 2/3 of 45 minutes = 30 minutes
15+15+15= 45
so 15 + 15 = 30 minutes
He play the guitar for 30 minutes
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if the spinner is spun 60 times, how many times can you expect the spinner to land on 3
The spinner will land on 3 is 10 times.
What is a spinner?The probability of the spinner landing on a number is equal to the fraction of the spinner that this number occupies.
Given that, a spinner is spun 60 times, we need to find that, how many times the spinner to land on 3,
Let us assume that there are 6 equal divisions in the spinner,
So, the chance of landing on 3 for the first time = 1/6
So, for 60 times = 1/6 x 60 = 10
Hence, the spinner will land on 3 is 10 times.
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