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 student earns a 98 on a test for answering one question incorrectly and earns a 90 for answering five questions incorrectly. Is the slope of the line that models the linear relationship a positive negative zero or undefined slope?
Answer:
Negative Slope
Step-by-step explanation:
The slope is the ratio of Change in height to the change in horizontal distance. It can also be define as tangent of angle made by that line and it is find by formula, [tex]slope (m)= \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
The slope is said to be a positive slope when a line is moving from left to right, the line rises.
The slope is said to be a negative slope when a line is moving from left to right, the line falls.
Here, Let the student earns be y marks in test
and let incorrect question be x
then y₁ = 98 , y₂ = 90 and x₁ = 1 , x₂ = 5
then [tex]slope (m)= \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
[tex]slope (m)= \frac{90 - 98}{5 - 1} [/tex]
⇒ m = -2
Hence, it has negative slope.
Identify the linear function graph.
A)
B)
C)
D)
combine like terms to simplify the expression 2/5k-3/5k+1/10k
Answer:
k/2 − 3/5
Step-by-step explanation:
To simplify the expression 2/5k - 3/5k + 1/10k, we combine the like terms and simplify the fractions. The simplified expression is -1/10k.
Explanation:To simplify the expression 2/5k - 3/5k + 1/10k, we can combine like terms. Like terms have the same variable raised to the same power. In this case, the variable is 'k'. So, combining the fractions, we get:
(2/5 - 3/5 + 1/10)k
Now, let's simplify the fractions:
Therefore, the simplified expression is -1/10k.
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What is the equation in point slope form of a line that passes through the points (5,-3)
what is half of 2.9 leave at least some evidence
Jack has 4/8 of a pizza left from a party. If he eats another 1/8, how much is left?
A) 3/8
B) 2/3
C) 5/8
D)1/2
What is 10/30 simplified?
To simplify the fraction 10/30, divide both the numerator and the denominator by their greatest common divisor, which is 10, resulting in the simplified fraction 1/3.
Simplifying the Fraction 10/30
To simplify the fraction 10/30, we want to find the greatest common divisor (GCD) that both the numerator (10) and the denominator (30) share. In this case, both numbers are divisible by 10. So, we divide both parts of the fraction by 10 to find the simplest form.
Step 1: Divide the numerator by 10.
10 / 10 = 1
Step 2: Divide the denominator by 10.
30 / 10 = 3
Therefore, the simplified form of the fraction 10/30 is 1/3. As we recall from our Algebra classes, this is a legal maneuver because multiplying or dividing by a fraction equivalent to 1 (like 10/10) does not change the value of the original fraction. It only simplifies it. So, the simplified fraction of 10/30 is indeed 1/3.
Write an algebraic expression with the variable x that has a value of 3 when evaluated
The required expression is x + 2y = 2 (3/2 + y) that gives the value 3.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
To write the algebraic expression with variable x that has a value of 3.
Let x is a variable and y is another variable,
The expression for the x equal to 3 can be written as,
x + 2y = 2 (3/2 + y)
The expression x + 2y = 2 (3/2 + y) gives the value 3.
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4.56+3.68 Estimated to the nearest tenth
round 1050 to one hundred
Does 5 hundreds = 50 tens?
It is almost the end of the grading period. I have 730 out of 880 points so far in my math class which means I currently have a B (83%). There are 90 points remaining before grades come out. My teacher rounds each student's score to the nearest percent. What is the fewest number of points I need to get and end up with a grade of...
C (at least 70%)?_____
B (at least 80%)?_____
A (at least 90%)?_____
Plz help me figure this out
The total money y Aaron earned mowing x lawns is showns by the equation y= 15x+25. What does the slope represent?
The slope in the equation y = 15x + 25 represents the rate at which Aaron's earnings increase per lawn mowed, which is $15 for each additional lawn.
Explanation:In the equation y = 15x + 25, the slope is represented by the coefficient of x, which is 15. The slope indicates the rate at which Aaron's total earnings increase for each additional lawn he mows. Specifically, the slope value of 15 means that Aaron earns $15 for each lawn he mows. The y-intercept of the equation is 25, which represents a starting value or a fixed amount that does not depend on the number of lawns mowed. This indicates that Aaron might have a base charge or initial fee of $25 before he starts mowing any lawns.
The slope in the equation y = 15x + 25 indicates Aaron earns $15 for each lawn he mows. The slope is the rate of change between lawns mowed (independent variable) and money earned (dependent variable).
Explanation:The slope in the equation y = 15x + 25 represents the amount of money Aaron earns per lawn he mows. In this equation, the slope is 15, which means that Aaron earns $15 for each lawn he mows. The y-intercept in this context is 25, which typically would represent an initial fee or starting amount, but since it relates to lawns mowed, it may not have a contextually relevant interpretation without additional information. In general, the slope in a linear equation like this contextualizes the rate of change between the independent variable (lawns mowed) and the dependent variable (total money earned).
Convert 125 yards into inches ?
My question is the temperature one. Plz help me with one I'm stumped.
An airplane travels 2748 miles in 6 hours.How far would they travel in 2 hours?
the oak tree at school was 34 feet tall then it grew 18 feet taller how tall is the oak tree now
what is (3.5×10^4)^2 in scientific notation with 4 significant digits?
if the diameter of a wheel os 0.5meters, then the radius of the wheel is how many centimeters?
1.324÷2 in place value chart
Brian bought 8 postcards during 4 days of vacation. How many days will Brian have to spend on vacation before he will have bought a total of 18 postcards? Assume the relationship is directly proportional.
What's each mixed number that has the same denomination for 2 4/5
Evaluate 5/9(f-32)
when f=50
Final answer:
To evaluate 5/9(f-32) when f=50, substitute 50 into the expression, simplify the bracket (50 - 32 = 18), and then multiply the result by 5/9. This simplifies to 18/9 (which is 2), and then 2 x 5, yielding a final answer of 10 degrees Celsius.
Explanation:
To evaluate the expression 5/9(f-32) when f=50, you need to plug the value of f into the expression and then simplify it.
Here are the steps:
Substitute 50 for f in the expression: (5/9) × (50 - 32).
Calculate the bracket first: 50 - 32 = 18.
Multiply the result by 5/9: (5/9) × 18.
Divide 18 by 9, which gives you 2.
Finally, multiply 2 by 5, which gives you 10.
Therefore, 5/9(f-32) evaluated at f=50 is 10 degrees Celsius.
A 3-ounce serving of tuna fish provides 24 grams of protein. How many grams of protein are in a 19-ounce serving of tuna fish?
Water flowing from a faucet can fill 1/4 of a tank in 3 minutes. How long does it take to fill the tank completely with water?
I need help with 7.5-3.2+4 to the power of 3 divided by 2
What is the relationship between the 5s in the number 755,371
The 5s in the number 755,371 represent different values due to their place in the number. The first 5 represents 50,000 as it is in the 'tens of thousands' place, while the second 5 represents 500 because it is in the 'hundreds' place.
Explanation:The relationship between the two 5s in the number 755,371 is dictated by their place values in the number. The first 5, which is the second digit in the number, is in the 'tens of thousands' place, therefore representing 50,000. The second 5, which is the fourth digit in the number, is situated in the 'hundreds' place, therefore representing 500. Despite being the same digit, their value varies greatly because of their place in the number. This concept of
place value is crucial in understanding numbers and their values in mathematics.
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Expand and simplify (x-6)(x+2)
The letter x represents the units digit of the five-digit number 1571x. If the five-digit number is divisible by 6 and x is not 0, what number could x be?
How can you tell if a set of bivariate data shows a linear relationship
Answer:
If you graph the data points and the points lie along a straight line then the data is linear.