A car uses 20 gallons of fuel to travel 440 miles. How much fuel will the car use to travel 1054 miles
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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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!
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Jane and jill collect yo-yo’s. the ratio of the number of jane’s yo-yo’s to the number of jill’s yo-yo’s is 5:4. if jane will give 15 of her yo-yo’s to her little brother, jane and jill will have the same number of yo-yo’s in their collections. how many yo-yo’s do both girls have together?
The number of yo-yo's Jane and Jill have is required.
The number of yo-yo's Jane has is 75 and Jill has 60 yo-yo's.
The ratio of Jane's yo-yo to Jill's yo-yo is [tex]\dfrac{5}{4}[/tex]
Let x be the number of yo-yo's Jane has
y be the number of yo-yo's Jill has
[tex]\dfrac{x}{y}=\dfrac{5}{4}[/tex]
When Jane's gives 15 of her yo-yo's away both will have the same number of yo-yo's so
[tex]x-15=y[/tex]
substituting in the first equation
[tex]\dfrac{x}{x-15}=\dfrac{5}{4}\\\Rightarrow 4x=5x-75\\\Rightarrow x=75[/tex]
[tex]y=x-15=75-15\\\Rightarrow x=60[/tex]
The number of yo-yo's Jane has is 75 and Jill has 60 yo-yo's.
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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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I want to be smart at school and I am getting really for the test too.
I need help :( with this it's kinda confusing
Don breaks a 4×7 array into a 2×7 and another array. What is the fact for Don's second array?
The fact for Don's second array is 2x7, indicating there are 2 rows and 7 columns in the array.
Explanation:In this question, the student is splitting a 4x7 array into a 2x7 array, and another array.
The 4x7 array has 28 elements. After removing a
2x7 array with 14 elements, we're left with an array that also has 14 elements.
We're not given its dimensions, but if we follow the pattern of the original breakup, it could also be a 2x7 array. Therefore, the fact for the second array is 2x7.
By representing this as multiplication, we're showing that there are 2 rows and 7 columns in the array, which represents the total number of elements.
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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?
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?
At a concert, you purchase 3 T-shirts and a concert program for a total cost of $90.The program for a total cost $15 and the T-shirts all cost the same. Write and solve an equation to find the cost of one T-shirt
To solve the problem, we created an equation representing the total cost of 3 T-shirts and a program, and then solved it to find the cost of one T-shirt, which is $25.
Explanation:Let's denote the cost of one T-shirt as 'T'. Since the total cost of 3 T-shirts and a program is $90, and we know that the cost of the program is $15, we can write our equation as follows: 3T + 15 = 90.
To solve for 'T', we start by subtracting 15 from both sides of the equation, getting us 3T = 90 - 15 = 75.
Next, we would divide both sides by 3 to find the cost of one T-shirt. Hence T = 75 / 3 = $25. So, the cost of one T-shirt is $25.
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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.
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?
The number of flowers which blossom varies directly as the number of seeds planted. When 55 seeds are planted, 5 flowers blossom.
What is the number of flowers that blossom when 550 seeds are planted?
A.
545
B.
250
C.
50
D.
11
Two patterns start at 0. The rule in Add 3. The rule for the other pattern is Add five. Examine the number in each pattern. Explain how the numbers in each pattern are similarly
a student did a 340 page essay for 3/4 hours. how much would it take to do 1 page
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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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
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
How many factors in the expression 8(+4)(y+4)(z²+4z+7)have exactly two terms?
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.
solve the system of linear equations by substitution.
4x−2y=14
y=12x−1
Answer: x=-3/5 y=-41/5
Step-by-step explanation: Rewrite equations:
y=12x−1;4x−2y=14
Step: Solvey=12x−1for y:
y=12x−1
Step: Substitute12x−1foryin4x−2y=14:
4x−2y=14
4x−2(12x−1)=14
−20x+2=14(Simplify both sides of the equation)
−20x+2+−2=14+−2(Add -2 to both sides)
−20x=12
−20x
−20
=
12
−20
(Divide both sides by -20)
x=
−3
5
Step: Substitute
−3
5
forxiny=12x−1:
y=12x−1
y=12(
−3
5
)−1
y=
−41
5
(Simplify both sides of the equation)
The system of linear equations is solved by substitution, resulting in the solution x=-3/5 and y=6.2.
Explanation:To solve the system of linear equations by substitution, start with the given system:
4x − 2y = 14
y = 12x − 1
Since y is already isolated in the second equation, substitute (12x − 1) for y in the first equation:
4x − 2(12x − 1) = 144x − 24x + 2 = 14−20x + 2 = 14−20x = 12x = −1/20 × 12x = −6/10x = −3/5Now substitute x = −3/5 into the second equation to find y:
y = 12(−3/5) − 1y = −36/5 − 1y = −7.2 − 1y = 6.2The solution for the system of equations is x = −3/5, y = 6.2.
A relay team of 4 people runs 3 miles.If each person runs the same distance,How many miles does each person run?
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.
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.
a truck carried 31/3 tons of sand, but lost 1/4 ton along the way. How many tons of sand were delivered?
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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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 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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you should have $16 and a coupon for a $5 discount at a local supermarket. a bottle of olive oil costs$7. how many bottles of olive oil can you buy?
With a total of $21, including the discount coupon, and each bottle of olive oil costing $7, you can buy 3 bottles of olive oil.
Explanation:In your case, you start with $16 and a $5 discount coupon to use at the local supermarket. This gives you an effective total of $16 + $5 = $21 to spend. Each bottle of olive oil costs $7. So, if you divide your total amount of money $21 by the cost of one bottle of olive oil $7, you get 21 ÷ 7 = 3. This means you can buy 3 bottles of olive oil.
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