Answer: The correct option is
(A) x < 3.
Step-by-step explanation: Given that one-third of a number is greater than five less than twice the number.
We are to select the inequality that is TRUE.
Let the required number be represented by x.
Then, according to the given information,we have
[tex]\dfrac{1}{3}x>2x-5\\\\\\\Rightarrow x>3(2x-5)\\\\\Rightarrow x>6x-15\\\\\Rightarrow x-6x>-15\\\\\Rightarrow -5x>-15\\\\\Rightarrow 5x<15~~~~~~~~~~[\textup{since }-a>-b~~~\Rightarrow a<b]\\\\\Rightarrow x<\dfrac{15}{5}\\\\\Rightarrow x<3.[/tex]
Thus, the true statement is x < 3.
Option (A) is CORRECT.
Use the distributive property to expand the expression. (2x + 4y) − (2z + 4) A) 2x + 4y + 2z + 4 B) 2x + 4y − 2z + 4 C) 2x + 4y + 2z − 4 D) 2x + 4y − 2z − 4
how to put 9.125 E10. in standard form
160% of 35 show work.
Sara pays $11 for 2.75 pounds of cheese.what is the cost per pound
you just need to divide 11 by 2.75 which would be $4
Jacob tapes down a piece of red tape on a basketball court. The piece of tape is 3/5 yard long. He wants to divide it into sections that are each 1 1/0 yard long.
Broccoli cost $1.50 per pound at a store. How much money does 32 ounces of broccoli cost?
Answer:
32 ounces costs 3 dollars.
Step-by-step explanation:
There are 16 ounces in 1 pound. So 32 ounces is 2 pounds. 1.5*2=3. 32 ounces costs 3 dollars.
Simplify the expression. 57 – 12 ÷ 4 • 3
You are visiting Washington, D.C. From the American History Museum you walk 5 blocks east and 1 block south to the Air and Space Museum. Then you walk 8 blocks west to the Washington Monument. Where is the Washington Monument in relation to the American History Museum?
Final answer:
The Washington Monument is 3 blocks west of the American History Museum, after making the described movements starting from the museum.
Explanation:
To determine the relative position of the Washington Monument to the American History Museum, let's track the movements step by step. Starting from the American History Museum, if you walk 5 blocks east and then 1 block south, you arrive at the Air and Space Museum. From there, if you walk 8 blocks west, you will reach the Washington Monument.
Now, since you've walked 5 blocks east initially and then 8 blocks back west from the Air and Space Museum, you've ended up 3 blocks west of your starting position at the American History Museum (because 5 - 8 = -3). The 1 block south movement does not affect the east-west positioning. Therefore, the Washington Monument is 3 blocks west of the American History Museum.
Can u help me plz plz plz plz
At a school, 20% of the sixth-grade students are in the band. There are 22 sixth-grade students in the band. How many sixth-graders are in the school?
This is a mathematics problem about percentages. It tells us that 20% of the total number of sixth-grade students equals 22 students who are in the band. By setting up and solving a simple equation, we find that there are 110 sixth-grade students in the school.
Explanation:The subject of your question is Mathematics. This problem is about percentages and can be solved by setting up an equation based on the given information.
It says that 20% which is (0.20 in decimal form) of the total number of sixth-grade students equals the 22 students who are in the band. Let's denote the total number of sixth-grade students by X.
Your equation will look like this: 0.20 × X = 22
To solve for X, divide both sides of the equation by 0.20:
X = 22 / 0.20
Therefore, X = 110.
So, there are 110 sixth-grade students in the school.
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Select Equal or Not Equal to correctly classify each statement.
Statement:
1. 14⋅34=?34⋅14 Equal or not equal
2. 34÷25=?25÷34 Equal or not equal
WILL MARK BRAINLIEST
(03.03 MC) Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)
The x-intercept is (0, 6); the y-intercept is (−9, 0).
The x-intercept is (6, 0); the y-intercept is (0, −9).
The x-intercept is (3, 0); the y-intercept is (0, −2).
The x-intercept is (0, 3); the y-intercept is (−2, 0).
(3c + 2) + 4(1.3c - 5)
Graph y=47x−2 .
Use the line tool and select two points on the line.
Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour? Drag and drop the correct value into the box.
The rate in pairs of jeans per hour is 1/4
For every 2/3 hour Harris can sow 1/6 pair of jeans
Therefore the rate of Harris's jeans in pairs can be calculated as follows
= 1/6 ÷ 2/3
= 1/6 × 3/2
= 3/12
= 1/4
Hence the rate in pairs of jeans per hour is 1/4
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Is 95.045 and 95.545 greater or less then
What is the product?
Enter your answer as a fraction, in simplified form, in the box.
38⋅(−36)
Thank you have a Nice day
Answer:
the product of 38 and (-36) is -1368
Step-by-step explanation:
To find out the product of two numbers, we need to multiply the numbers
positive times negative is negative
38⋅(−36)
38
36
-------------------
228
114
-----------------
1368
the product of 38 and (-36) is -1368
How many times does 7 go into 5? The remainder is 5.
F=9/5C+32. Solve for C.
The expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
What is a linear expression?The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
It is given that:
The relationship between F and C is:
F = (9/5)C + 32
To convert temperature from degrees Celsius to degrees Fahrenheit for c:
Make the subject as C:
(9/5)C = F - 32
As we know,
The expression can be defined as the combination of constants and variables with mathematical operators.
9C = 5(F - 32)
C = 5(F - 32)/9
Thus, the expression in terms of F is C = 5(F - 32)/9 if the relationship between F and C is F = (9/5)C + 32.
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Brad bought 70.030 m of chain to make necklaces. He used 0.667 m of the chain to make one necklace.
How much chain did he have left?
Enter your answer in the box.
HELP ASAP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer to the question is 69.363
Step-by-step explanation:
Which number is the largest? 7.2 ⋅ 10−6, 3.09 ⋅ 103, 2.04 ⋅ 104, 5 ⋅ 103
Answer:
2.04 × 10^4
Step-by-step explanation:
7.2 × 10^-6 = 0.0000072
3.09 × 10^3 = 3090
2.04 × 10^4 = 20400
5 × 10^3 = 5000
Can I get some help with 1) plz
I NEED HELP ASAPLouise bought 1 1/4 pounds of roast beef at $2.00 per pound and 2 1/2 pounds of turkey at $1.50 per pound. What was her total cost? Enter your answer in the box. $
multiply price by amount bought for each then add them
roast beef: 2.00 * 1.25 = $2.50
turkey: 1.50 * 2.5 = $3.75
3.75 + 2.50 = $6.25 total cost
a box of cereal states that there are 96 calories in a 3/4-cup serving. what is the unit rate of calories per cup? how many calories are there in 3 cups of ceral
The number of calories is there in 3 cups of cereal will be equal to 384.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total calories in 3/4 cup = 96
Let's assume that the number of calories per cup is x.
Then,
3/4 cup = 96
1 cup = x
Use cross-multiplication,
0.75x = 96
x = 96/0.75
x = 128 calories
Then, the calories in 3 cups will be,
= 128 × 3
= 384
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A gallon of gasoline costs $2.96 your car has a 25- gallon gas tank and can travel 28.8 miles one each gallon of gasoline find the cost of filling your gas tank if it’s already 3/8 full
To find the cost of filling the gas tank, calculate the empty part of the tank, which is 5/8 of 25 gallons. Then multiply that by the cost of a gallon of gasoline, which gives you $46.25.
Explanation:To solve this problem, we need to calculate how much gasoline is needed to fill up the car's tank considering that it's already 3/8 full and then multiply that by the cost of gasoline per gallon.
Firstly, we need to find out how much of the tank's capacity is empty. The tank has a total capacity of 25 gallons and 3/8 of it is already full. This means 5/8 of the tank is empty. The empty capacity is 5/8 * 25 = 15.625 gallons.
Given that a gallon of gasoline costs $2.96, we need to multiply the cost per gallon by the number of gallons needed. Therefore, the cost to fill the tank equals to 2.96 * 15.625 = $46.25.
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20 points
please help
in return brainliest and special thanks
Sharon is 54 inches tall. A tree in her backyard is 5 times as tall as she is. The floor of her treehouse is at a height that is twice as tall as she is. What is the difference, in inches between the top of the tree and the floor of the treehouse
a wise man once said 300 reduced by 3 times my age is 114
To solve the equation, assume the person's age is 'x', then translate the sentence into an equation: 300 - 3x = 114. Isolate the variable by subtracting 300 from both sides, then divide both sides by -3 to find 'x'. The person's age is 62.
Explanation:The subject of this question is Mathematics. Specifically, it involves solving an equation to determine the age of the person mentioned in the quote.
To solve the equation, let's assume the person's age is 'x'. Then, we can translate the sentence '300 reduced by 3 times my age is 114' into the equation: 300 - 3x = 114.
To solve for 'x', we can isolate the variable by subtracting 300 from both sides of the equation, giving us -3x = -186. Finally, dividing both sides by -3, we find that x = 62. Therefore, the person's age is 62.
A theater has 990 total seats. There are a total of 22 rows in the theater. If each row has an equal amount of seats, how many seats are there in each row? Find the unknown number in the equation 990 ÷ 22 = s.
simplify and show work please and thank you
4a-13=19