Eric purchase 4 feet of the wire. he cuts it into 3 pieces. if the first piece is 1 foot 7 inches long and the second piece is 1 foot 6 inches long,how many inches is the third piece
What is the area of a rectangle with vertices (2, 3), (9, 3), (9, -2), and (2, -2)
Answer with explanation:
The Vertices of Rectangle are,A (2, 3), B(9, 3), C(9, -2), and D(2, -2).
Area of Rectangle = Length × Breadth
[tex]\text{Use Distance formula to find distance between two points}=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}}\\\\\text{Length}=\sqrt{(9-2)^2+(3-3)^2}=\sqrt{7^2}=7\\\\\text{Breadth}=\sqrt{(9-9)^2+(-2-3)^2}=\sqrt{(-5)^2}=\sqrt{5^2}=5[/tex]
So, Area of Rectangle = 7 × 5
= 35 square units
A yoghurt costs 45p. How many yogurts can be bought for 5 pounds
To compare the amount of yogurt in a 2 pound container and five 6-ounce containers, convert pounds to ounces. Then compare the measurements. To calculate how many yogurts can be bought for 5 pounds, divide 5 pounds by the price of 1 yogurt.
Explanation:To compare the amount of yogurt in a 2 pound container and five 6-ounce containers, we need to convert one of the measurements to the same unit. In this case, we will convert pounds to ounces. There are 16 ounces in 1 pound, so 2 pounds is equal to 2 x 16 = 32 ounces.Now we can compare 32 ounces and 30 ounces. Since 32 ounces is greater than 30 ounces, Leslie will get more yogurt by choosing the 2 pound container.To calculate how many yogurts can be bought for 5 pounds, we can divide 5 pounds by the price of 1 yogurt, which is 45p. Since there are 100 pence in 1 pound, we need to convert 5 pounds to pence by multiplying it by 100. So, 5 pounds is equal to 5 x 100 = 500 pence.Now we can divide 500 pence by 45p to find out how many yogurts can be bought. 500 pence ÷ 45p = 11.11. This means that approximately 11 yogurts can be bought for 5 pounds.A cd store sold 3,467 cds in 7 days . About the same number of cds were sold each day .About how many cds did the store sell each day?
We need to divide the number of CDs sold, 3,467, by the number of days, 7
In order to estimate the quotient, we will use compatible numbers.
3,467 is close to 3,500
Remember: Compatible numbers are numbers that are close in value to the actual numbers, and which make it easy to perform mental arithmetic.
Some examples of compatible numbers when doing division are 400 and 10, 36 and 6, 2400 and 12, and 64 and 8
3,500 and 7 are compatible because when doing this division (3,500 ÷7 ), we can quickly divide 35 by 7 to get 5 and put two zeros at the end to get 500
3,500 ÷ 7 = 500
About 500 CDs were sold each day
The ratio of the length to the height of the American flag is 3 to 2. If the length of the American flag is 1.8 yards find the height.
what steps can I use to multiply by a two- digit number with regrouping?<br />
To multiply by a two-digit number with regrouping, align the numbers by place value, multiply each digit of the two-digit number by the one-digit number, carry over any tens, and sum the products.
Explanation:Steps for Multiplying by a Two-Digit Number with Regrouping
To multiply by a two-digit number with regrouping, you can follow these steps:
Write down the numbers with the two-digit number on top and the one-digit number beneath it, making sure the units, tens, and hundreds (if applicable) are lined up correctly.Start by multiplying the lower one-digit number by the top number's rightmost digit (units place).If the product is a two-digit number, write the units digit below and carry the tens digit over to the next column to the left (tens place).Multiply the lower one-digit number by the top number's left digit (tens place).Add any number that was carried over to this product.If necessary, carry over again to the hundreds place.Write the final result below the line, making sure to place the digits in their correct place values.This method may involve regrouping several times depending on the size of the numbers involved.
A number increased by negative eight is equal to fourteen. Which equation could be used to find the number?
n + 8 = 14
n - (-8) = 14
n + (-8) = 14
8 - n = 14
The equation that shows that the number increased by negative eight will be n + (-8) = 14. Hence, option C is correct.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the data given in the question,
Let the number be x.
The number x is increased by negative 8 times which is equal to 14.
Then the equation according to the statement is,
n + (-8) = 14,
Therefore, this concludes that option C is correct.
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It takes 38 pounds of seed to completely plant a 6-acre feild. How many pounds of seed are needed per acre ?
what is 3.27 as a mixed number in simplest form.
To convert 3.27 to a mixed number, separate the whole number (3) from the decimal (0.27), convert the decimal to the fraction 27/100, and combine them to get 3 27/100. The fraction is already in its simplest form.
Converting 3.27 to a Mixed Number in Simplest Form
→ To convert the decimal 3.27 to a mixed number, follow these steps:
Separate the whole number and the decimal part: The whole number is 3, and the decimal part is 0.27.
→ Convert the decimal part to a fraction: 0.27 can be written as 27/100 because there are two decimal places, which means the denominator is 100.
→ Simplify the fraction: To simplify 27/100, find the greatest common divisor (GCD) of 27 and 100, which is 1, meaning the fraction is already in its simplest form.
→ Combine the whole number and the fraction: The final mixed number is 327/100.
Therefore, 3.27 as a mixed number in simplest form is 327/100.
Please help me
16. The sum of three consecutive odd integers is less than 100 what are the greatest possible values of these integers?
18. The sum of two integers is greater than 12 one integer is 10 less than twice the other what are the least values of the integers
20. Find the length of the base of a triangle when one side is 2 cm shorter than the base and the other side is 3 cm longer than the bass the perimeter is greater than 19 cm.
22. Miss Hayes has promised her two teenagers that they may go to a concert if together they can save more than $25 of their spending money the older teenager agrees to save twice as much is a younger how much
must be save?
Thank you and if you answer I will give you more points!
Andy has read 4 chapters in 2 hours. If he continues reading at the same rate how many chapters will he have finished after 5 hours?
the numbers 81, 45,27 are multiplies of
A baby weighs 14 lbs at 5 months and 21 lbs at 10 months. Assuming the baby's weight gain is constant, determine
Mr.Turner bought x boxes of pencils. Each box holds 25 pencils. He left 3 boxes of pencils at home and took the rest to school. Which expression represents the total number of pencils he took to school?
What is the equation of this line in slope-intercept form?
what steps can I use to multiply by a two- digit number with regrouping?
i need help plz with this as a salesperson,you are paid$75 per week plus $10 per sale.This week you want your pay to be at least $200.Write an inequality statement,then solve it to find out how many sales you need to make.
To meet the goal of earning at least $200 for the week, given a flat rate of $75 and $10 per sale, you need to solve the inequality 75 + 10x ≥ 200. After solving, it's found that you need to make at least 13 sales.
To solve the inequality problem we need to set up an equation based on the given conditions. You are paid a flat rate of $75 per week plus $10 per sale. If your goal is to make at least $200 this week, we can write the inequality as follows:
75 + 10x [tex]\geq[/tex] 200
Where x represents the number of sales you need to make. Now, we solve for x:
Subtract 75 from both sides: 10x ≥125
Divide both sides by 10: x ≥ 12.5
Since you cannot make half a sale, you need to make at least 13 sales to meet your goal of earning $200 for the week.
How do I simplify (2x1/4) -4th power?
Is t= 15D proportional or non proportional
Laura delivers newspapers. She spent 4-12 of her savings on a new wich equivalent fraction shows the amount Laura spent?
The ratio of boys to girls in Math class is 3:4. If there are 21 total students in class, how many more girls are in the class than boys?
How much more dose the ham and cheese omelet cost than the cheese omelet?
The ham and cheese omelet costs $ 1. 40 more than the cheese omelet.
How to find the difference in cost ?
When a question asks to find the cost of something more than another thing, this means that you should find the difference between the original item and the item it is being compared to.
This means that the amount the ham and cheese omelet costs over the cheese omelet is:
= Cost of ham and cheese omelet - Cheese omelet cost
= 4. 95 - 3. 55
= $ 1. 40
In conclusion, the cheese omelet costs $ 1. 40 less than the ham and cheese omelet.
equivalent expression to 8n + 5n
To find the equivalent expression to 8n + 5n, you combine like terms by adding the coefficients of n, resulting in 13n.
Explanation:The equivalent expression to 8n + 5n is found by combining like terms. Since both terms include the variable n, you can add their coefficients. To find the equivalent expression, you simply add the numbers in front of the n terms:
8n + 5n = (8 + 5)n = 13n.
So, the equivalent expression to 8n + 5n is 13n. This process is based on the distributive property which states that a(b + c) = ab + ac. In this case, we had a common factor of n which we factored out and then added the coefficients 8 and 5.
Final answer:
The equivalent expression is 13n.
Explanation:
The equivalent expression to 8n + 5n is 13n.
To find the equivalent expression, we simply combine the coefficients of n. In this case, 8n represents 8 times n and 5n represents 5 times n. Adding these two expressions together gives us 8n + 5n = 13n.
Daniel worked for 2 1/3 hours and earned $18.20, how much would he make if he worked 5 1/4 hours?
4d - 35 = -3. What is D?
5x+8y=24? A)y=-5/8x+3 B)y=-3/8x-5/8 C)y=3x-5/8 D)y=3/8x-5/8
I need to know the problem to 3.4 divided bye 1,734
To solve the division problem of 3.4 divided by 1,734, one can use a calculator or long division, resulting in a decimal number much smaller than one. This division is akin to dividing by powers of ten, which shifts the decimal point to the left.
Explanation:The question 'I need to know the problem to 3.4 divided by 1,734' is asking for the result of a division problem involving the numbers 3.4 and 1,734. To solve this, we need to divide 3.4 by 1,734. This can be done using a calculator or by hand using long division. If using a calculator, you simply enter 3.4 divided by 1,734 to obtain the answer.
If you do it by hand, align the numbers and perform the long division process to find the quotient. The result of the division is a decimal number which is significantly less than one, as 3.4 is much smaller than 1,734.
Another example of division involving powers of ten can be seen when we have a number like 1.9436 divided by various powers of 10.
For instance, 1.9436 divided by 10 would be 0.19436, and so on, until we divide by 1,000 to get 0.0019436. This illustrates how division by powers of ten shifts the decimal point to the left.
Sam’s parents agreed to pay 25 percent of the cost of a new bike if Sam paid the rest. If Sam’s parents paid $65, what was the price of Sam’s new bike?
The price of Sam's new bike is given by $260.
What is Percentage?Percentage is a mathematical measurement of any number or quantity out of 100.
Let the price of Sam's new bike be x.
Sam' parent paid 25% of the cost.
So they paid = x*(25/100) = 25x/100
Now it is also given that the exact amount paid by his parent is $65.
Then according to the question,
25x/100 = 65
25x = 65*100
25x = 6500
x = 6500/25
x = 260
Hence the price of Sam's new bike is $260.
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A music practice room is used 12 hours a day. If each practice session is 3/4 hour long, how many sessions are there in a day?
2 hundreds 3 tens x 10 unit form
The numerical form of the number is 2310.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs. The precise position of a number within a series is assigned a value by a place-value system.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the number 2 hundred 3 tens x 10 is in the place value form the mathematical expression for the number is:-
2 hundred 3 tens x 10 ⇒ 2310
Therefore, the numerical form of the number is 2310.
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