In the number 474, the 4 in the ones place is less than the value of the 4 in the hundreds place by a factor of 100 because each position to the left in the place value system is worth ten times more than the one to its right.
Explanation:The question deals with the concept of place value in mathematics. Specifically, it requires understanding how the value of a digit changes based on its position within a number. In the number 474, the 4 in the ones place has a value of 4, whereas the 4 in the hundreds place has a value that is 100 times greater, since each move to the left in place value represents a multiplication by 10. Therefore, the 4 in the ones place is less than the value of the 4 in the hundreds place. Here's a simple breakdown of the place values in the given number 474:
The first 4 (from left to right) is in the hundreds place, so its value is 4 x 100 = 400.The second 4 is in the ones place, so its value is 4 x 1 = 4.Since 1 is less than 100, the 4 in the ones place is worth less than the 4 in the hundreds place by a factor of 100.
The value of the 4 in the ones place is 10 times the value of the 4 in the hundreds place.
Explanation:The 4 in the ones place is 10 times the value of the 4 in the hundreds place.
(01.05) what is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)? (1 point) y = 6x − 14 y = −6x + 14 y = −6x − 14 y = 6x + 14
Answer:
The answer is [tex]y=6x-14[/tex]
Step-by-step explanation:
In order to determine the slope-intercept form equation, we need to know the formula. The formula needs a slope (m) and a point (x,y) that belongs to the equation.
[tex]y-y_1=m(x-x_1)\\m=slope\\(x_1,y_1)=point[/tex]
For m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, first we have to define every variable and then we replace them into the formula:
[tex]P_1=(3,4)\\P_2=(5,16)\\m=\frac{16-4}{5-3}\\m=\frac{12}{2}=6[/tex]
It doesn't matter the order of how you define the points. The result will be the same.
Then:
[tex]y-4=6*(x-3)\\y=6*(x-3)+4\\y=6x-18+4\\y=6x-14[/tex]
Finally, the slope-intercept form equation is [tex]y=6x-14[/tex]
Find three consecutive odd integers such that the sum of the first, two time the second and three times the third is 46
To find the three consecutive odd integers that satisfy the given conditions, we set up an equation x + 2(x + 2) + 3(x + 4) = 46, solved it to find x = 5, and then found the integers as 5, 7, and 9.
We are given a problem to find three consecutive odd integers where the sum of the first, two times the second, and three times the third equals 46. Let's label our integers as x (the first), x+2 (the second), and x+4 (the third), as the differences between odd integers are 2.
The equation, based on the problem statement, is:
x + 2(x + 2) + 3(x + 4) = 46
Distribute and combine like terms:
x + 2x + 4 + 3x + 12 = 46
6x + 16 = 46
Subtract 16 from both sides:
6x = 30
Divide both sides by 6:
x = 5
Therefore, the three consecutive odd integers are:
x = 5 (first integer),
x + 2 = 7 (second integer),
x + 4 = 9 (third integer).
Checking the solution: 5 + 2(7) + 3(9) = 5 + 14 + 27 = 46, which confirms our answer is correct.
A small plane traveled from city a to city b, averaging 169169 miles per hour. the trip took twotwo hours. what is the distance from city a to city b?
3(x-4)<-15 solve for x
If a student received a score of 75% on a text in which 96 questions were answered correctly, how many questions were on the test?
Final answer:
To find the total number of questions on the test, we divide the number of correctly answered questions (96) by the score as a decimal (0.75), which gives us 128 questions in total.
Explanation:
To determine the total number of questions on the test, we can use the given information that a student received a score of 75% by answering 96 questions correctly. The percentage score represents the fraction of the total number of questions that were answered correctly. So, if 96 questions were 75% of the total, we can find the total number of questions (T) using the following equation:
75% of T = 96
0.75 × T = 96
T = 96 / 0.75
T = 128
Therefore, there were 128 questions on the test.
Does there exist a function that is not a relation
Every function is a kind of relation by definition. A function is a relation where every input is paired with exactly one output. Therefore, there doesn't exist a function that isn't a relation.
Explanation:In mathematics, every function is a relation, but not every relation is a function. A function is a special type of relation where every input (or x-value) is paired with exactly one output (or y-value). This is often referred to as the vertical line test. If any vertical line intersect the graph of the relation at more than one point, then it is not a function. Therefore, there does not exist a function that is not a relation, because by definition, a function is always a relation.
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How many lateral faces does a triangular pyramid have
The number of lateral faces for a triangular pyramid is 3.
Given data:
Let the number of lateral faces for a triangular pyramid be A.
Now, A triangular pyramid has 3 lateral faces.
Each of these lateral faces is a triangle.
The base of the pyramid is not considered a lateral face.
It has one base face and three lateral faces.
All four faces are triangles.
It has four vertices or points.
It has six edges or line segments.
Hence, the number of lateral faces is 3.
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Solve for x: −5|x + 1| = 10 (1 point) x = 0 x = −3 and x = 1 x = −1 and x = 3 No solution
Answer:
The answer Is 1
Step-by-step explanation:
Got it right trust me
Which of the following, if substituted for y, would make the following inequality a true statement? –14 < y – 12?
I don't understand how to do this problem.
Larry has $20 to spend at the store. He plans to purchase five items that cost $5.79, $7.63, $3.46, $2.99, and $3.65. Larry estimated his total cost to make sure he has enough money for his purchases. Is his estimate accurate? Explain why or why not. $5 + $7 + $3 + $2 + $3 = $20
Answer:
Larry did not round correctly. He used front-end estimation, but he did not round up when appropriate. His estimate will be lower than the amount of money he needs.
Step-by-step explanation:
yeah
Larry's estimation is incorrect.
The total cost of the items that Larry bought will be:
= $5.79 + $7.63 + $3.46 + $2.99 + $3.65
= $23.65
Since Larry estimated his total cost to be $20 while the correct answer is $23.65, then his estimate is wrong.
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1/6 ÷4/7=?please help I don't understand this
1.5d + 3.25 = 1 + 2.25d ---What are the steps to find x?
Jack leaves the caves and runs directly north for 9 miles. He then turns and runs 12 miles east. How many miles is he from the caves?
Amy is a software saleswoman. Her base salary is 2300, and she makes and an additional $80 for every copy of English is fun she sells. Let p represent her total pay ( in dollars ), and let N represent the number of copies of English is fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 21 copies of English is fun
simplify -52 + 8|-1| + (-3)
Prove that if you pick three socks from a from a drawer containing only black or blue socks that you must get a pair or either black or blue.
Find k so that the three equations 3x-y=2, 2x+8=3y, and y=kx have a common solution
Translate the phrase into a numerical expression.
1. seven multiplied by three
2. twice the opposite of eleven
How many numbers are 10 units from 0 on the number line?
Find the eleventh term of the last term of A.P.
27,23,19,.....-65.
Which conditional statement is false?
A. If a figure has four congruent angles, then it is a square.
B. If two figures are congruent, then they have equal perimeters.
C. If two figures are congruent, then they have equal side and angle measurements.
The statement that If a figure has four congruent angles, then it is a square is a false conditional statement which is the correct option (A).
What is the conditional statement?A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).
Let us consider the example to understand the parts of a conditional statement.
Conditional Statement: If today is Friday, then yesterday was Thursday.
Hypothesis: "If today is Friday."
In the given problem,
Conditional Statement: If a figure has four congruent angles, then it is a square
Hypothesis: "If a figure has four congruent angles"
One example of a counterexample is a rectangle, which although not a square, has four congruent angles.
Hence, the statement that If a figure has four congruent angles, then it is a square is a false conditional statement which is the correct option (A).
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I have 120 cm of framing material to make a picture frame, which will be most pleasing to the eye if its height is 2/3 of its width. What dimensions should i use?
The formula for perimeter is:
P = 2 h + 2 w
where P is perimeter = 120 cm, h is height, w is width
we are also given that: h = (2/3) w, therefore:
P = 2 (2/3) w + 2 w = 120
(4/3) w + 2 w = 120
w = 36 cm
Therefore l is:
l = (2/3) w = 24 cm
Hence the dimension should be 24cm by 36 cm
What is 5 meters every 2 seconds as a unit rate
Consider the expression −2 + 5a + b + 2a − 5b.
Which term can be combined with 5a because they are like terms?
–2
b
2a
–5b
Answer:
2a is the answer
Step-by-step explanation:
I need help with 34 and 35. Thanks
What did the point say to the segment
Points, rays and lines are all elements of a coordinate geometry. The text that completes, sentence A to D is as follows:
LinePlaneCollinearCoplanarFigure E is a point, while figure F is a ray
I've added as an attachment, the complete question.
A. Two points
When there are two points (say points A and B), there can only be one line segment in these points. The line segment is AB or BA
B. Three points
A plane is formed by three points. So, for any three points (whether they are collinear or not), there is exactly one plane.
C. Points on the same line
When there are more than one points on a line, such points are said to be collinear.
D. Points on the same plane
When there are more than one points in a plane, such points are said to be coplanar.
E. & F
A point is represented with a dot; So, the figure in (E) is a point.
A ray has one endpoint and an arrow at the other end. So, AB is a ray.
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help please with b. and d.
An investment earns 6% simple interest. What amount of principal is needed to have $3000 after 5 years? Round your answer to the nearest cent.
The principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
To find the principal amount needed to have $3000 after 5 years with 6% simple interest, we can use the formula for simple interest:
Simple Interest = Principal * Rate * Time
where Rate is the interest rate as a decimal, and Time is the time period in years.
We can rearrange this formula to solve for the Principal:
Principal = Simple Interest / (Rate * Time)
In this case, we want to find the Principal that will yield $3000 after 5 years with 6% simple interest. Therefore, we have:
Simple Interest = $3000
Rate = 0.06
Time = 5 years
Plugging these values into the formula, we get:
Principal = $3000 / (0.06 * 5) = $10,000
Therefore, the principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
At 9:54
a.m., a patient's temperature was 101.5 degrees. At 10:41, the nurse took the patient's temperature again and found it was 105.8 degrees, the highest ever recorded. How long did it take for the patient's temperature to reach this record high?
It took approximately 47 minutes for the patient's temperature to reach a record high of 105.8 degrees, calculated by subtracting the start time from the end time.
Explanation:The subject question involves the calculation of time that elapses between two events - a start time of 9:54 a.m. and an end time of 10:41 a.m. To calculate this, we subtract the start time from the end time.
Begin by converting the times to a 24-hour clock, where 9:54 a.m. is 9.9 (as each minute represents a fraction of a full hour) and 10:41 a.m. is 10.68. Then, subtract 9.9 from 10.68 to get 0.78. This means that 0.78 hours has passed, which is equivalent to approximately 47 minutes when converted back into minutes (0.78 x 60).
So, it took approximately 47 minutes for the patient's temperature to reach the record high of 105.8 degrees.
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