120 and 90 are Partial product of 3×1,342. Hence, option C is correct.
A Partial product is what we get when we multiply already multiplicand by the first digit of a multiplier that has multiple digits. We split the number into smaller parts in order to multiply. Further, each piece is multiplied separately, and after that, it is added.
In simple terms Partial products are mathematical operations that multiply each digit of one number by each digit of another number while maintaining the place value of each digit. For example, the place value of 4 in the number 43 would be 40.
Model for multiplication of incomplete products.
A model that breaks down data into its individual components. or position values in easy place value to make multiplication easier.
Thus, option C is correct.
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PLS HELP I WILL GIVE BRAINLIEST
Find the x-intercept and the y-intercept of each line. Express the answers as ordered
pairs.
x+4y=12
x-intercept is
y - intercept is
Whats the Estimate of 110x298???
Answer:
33000
Step-by-step explanation:
To estimate the product of two numbers, round the individual numbers to numbers that you can multiply mentally.
Round 298 to the nearest hundred → 300.
(We don't need to round 110 as it is a multiple of 10, and therefore easy to multiply mentally).
Therefore,
⇒ 110 × 298 ≈ 110 × 300
To multiply 110 by 300, separate the 110 into 100 + 10:
⇒ 110 × 300 = (100 + 10) × 300
Apply the distributive property of multiplication:
⇒ (100 + 10) × 300 = 100 × 300 + 10 × 300
To multiply a number by 100, add two zeros.
To multiply a number by 10, add one zero.
Therefore:
⇒ 100 × 300 + 10 × 300 = 30000 + 3000 = 33000
Check
110 × 298 = 32780
32780 rounded to the nearest thousand is 33000.
A supplement of an angle is six times as large as a complement of the angle. Find the measures of the angle, its supplement, and its complement
The measure of the angle is 72°, its supplement is 108° and its compliment is 18° .
A pair of supplementary angles is defined as two angles which add up to 180°. They are also called linear pair.
A pair of angles which add up to 90° is called complimentary angles.
let us consider the given angle be x .
Compliment of given angle=90°- x
Supplement of the given angle=180°-x
The supplement is 6 times the compliment .
Therefore we can construct a linear equation of the form:
6(90°- x)=180°-x
or, 540°-6x=180-x
or, -6x+x=180-540
or, -5x=-360
or, x=72
Hence the angle is 72°
Compliment of 72°=90°-72°=18°
Supplement of 72°=180°-72°=108°
Therefore the required angle is 72°, its supplement is 108° and its compliment is 18° .
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The dimensions of a rectangular monitor screen are such that its length is 3 in. more than its width. If the length were doubled and if the width were decreased by 1 in., the area would be increased by 104in^(2) . What are the length and width of the screen?
The length and width of the screen is 9.71 inch and 12.71 inch.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.
Area of triangle = Length * Width
Let L be the length and W be the width of the rectangle.
Now it is given that,
Dimensions of a rectangular monitor screen are, its length is 3 in. more than its width.
⇒ L + 3 = W
Therefore area is given as,
A = L * W
Put the value of W we get,
A = L * (L + 3)
Now, If the length were doubled and if the width were decreased by 1 in, the area would be increased by 104 in^2
Length = 2L
Width = W - 1
Thus area becomes,
A' = 2L(W - 1)
Now, the area would be increased by 104 in^2
A' = A + 104
Putting the value of A in A' we get,
A' = L * (L + 3) + 104
Now putting the value of A' we get,
2L(W - 1) = L * (L + 3) + 104
Expanding we get,
2LW - 2L = L^2 + 3L + 104
Since L + 3 = W
Thus, putting W in above we get,
2L(L + 3) - 2L = L^2 + 3L + 104
Expanding the brackets we get,
2L^2 + 6L - 2L = L^2 + 3L + 104
Solving we get,
2L^2 + 4L = L^2 + 3L + 104
Taking all the terms together we get,
2L^2 + 4L - L^2 - 3L - 104 = 0
Solving alike terms we get,
L^2 + L - 104 = 0
Solving the above equation we get,
L = 9.71 inch, -10.71 inch
Since, Length cannot be negative
Thus,
L = 9.71 inch
Put the value of L in W we get,
9.71 + 3 = W
⇒ W = 12.71 inch
Thus the required value of length and width is,
Length = 9.71 inch
Width = 12.71 inch
Thus, the length and width of the screen is 9.71 inch and 12.71 inch.
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In the number 98.48, what will you multiply by to get rid of the decimal?
Based on the number, 98.48, the number you need to multiply by to get rid of the decimal is 100.
What number should you multiply by to remove the decimal?The number that you multiply a number with if you want to remove the decimal has to be a power of 10. The power of 10 used will depend on the number of figures after the decimal.
If there is a single number after the decimal point, then multiply by 10.
If there are two numbers after the decimal point, multiply by 100.
If there are three numbers after the decimal point, multiply by 1,000.
In the case of 98.48, there are two number after the decimal point so you'll multiply by 100 to get:
= 98.48 x 100
= 9,848
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E
D
A
In the diagram above, why is m/EFD = m/BFC?
O If two angles are supplementary, then their measures are equal.
O If two angles are vertical, then they are congruent.
O If two angles are complementary, then they are congruent.
OIf two angles are a linear pair, then they have equal measure.
F
O If a ray bisects an angle, then it divides it into two congruent angles.
40°
ВА
C
Answer:
O If a ray bisects an angle, then it divides it into two congruent angles.
Step-by-step explanation:
geometry question, surface area of a triangular prism,
Answer:
282 [in²].
Step-by-step explanation:
all the details are in the attachment.
Completed
Enter the decimal value positioned at point B.
B
-6
-5
Progress
-4
-3
-2
-1
0
1
2
The value of B is -7 and no decimal number.
What are decimal numbers?Decimal refers to the base-10 number system, which is probably the most widely used number system. There are ten single-digit numbers in the decimal number system: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number following 9 is 10. The number following 19 is 20, and so on.So, in the sequence:
B-6-5-4-3-2-1012We can easily say that the value of B will be -7 and no decimal number.
So,
-7-6-5-4-3-2-1012Therefore, the value of B is -7, and no decimal number.
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The histogram below displays the scores for a class of 37 students on a recent exam. Scores on this exam ranged from 51 to 98 points out of 100. Let the function f map an exam score to the height of the bar whose interval contains that score
(a) The value of f(83) is 5.
(b) It may or may not happen.
(c) The value of f(95) is 9.
Here, the height of the bar gives the marks at that particular point.
From the observations we can see,
(a) The interval 80-85 marks is point at the mark of 5. It means that there are 5 students who has scored in the interval of 80-85.
So, as are function is the exam score to the height of the bar whose interval contains that score.
Hereby, our value of f(83) will be equal to 5.
f(83) = 5.
(b) As, the marks are distributed over an interval. It can't be said that if any students scored exactly 83 marks or not. But the conclusion that we can draw is, that these 5 particular students have scored between 80-85 for sure.
(c) The value of f(95) is equal to 9. as we can see that the interval is distributed in such a way that a group of five students is formed. and the last part of the interval is not included in the next interval. The interval here forms a pattern like this,
91-95, after that 96-100.
So here the value of f(95) will be 9.
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A storm causes 23,890 homes to be without power on the east side of the city and 18,370 homes to be without power on the West side about how many homes altogether are without power
Theresa commutes to work 16 days
each month. She travels 56 miles
round trip. Carl commutes to work
20 days each month; he also travels
56 miles round trip. Theresa works
12 months of the year, and Carl works
11 months. Who travels more in one
year?
Carl is outworked by Theresa in a given year.
What is work?
According to physics a push or pull in any substance which produces any displacement is called work. Activity in which one exerts strength or perform something or an activity that a person engages in regularly to earn a livelihood people looking for work.
Given:
Working day of Theresa/month=16
Working day of Carl/ month=20
Distance covered by Theresa in month= 56 miles round trip
Distance covered by Carl in month=56 miles round trip
Calculation
Distance covered by Theresa in month=56*2
Distance traveled by Theresa in a year=112*12
Distance traveled by Theresa in a year=1344 miles
Distance covered by Carl in month=112 miles
Distance traveled by carl in a year=112*11
Distance traveled by carl in a year=1232 miles
As the distance covered by Theresa is more than carl.
So Theresa travel more distance.
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Help plsss••••••••••••••••••••
Answer:
Step-by-step explanation:
64 / 0.16 = 400 square cm
(90/5)+(78x34)
90 divided by 5
In the figure below angle m 1 =(x-6) and and angle m 2 =7x
Answer:
angle 1 = 6°
angle 2 = 84°
Step-by-step explanation:
since these 2 angles form 90°, they're called complementary
so when they're added they give 90°
x-6°+7x=90°, then we collect the like terms
x+7x=90°+6°, 8x=96°, divide both sides by 8 so we can get x
x=96/8, x=12, so now we substitute 12 in x so we can get the angles
FOR ANGLE 1:
12-6=6°
FOR ANGLE 2:
7(12)=84°
hope it helped, if it did mark me brainliest
A fair die is rolled 5 times what is the probability that no 1 and no 6 among the rolls
The probability of getting no 1 and no 6 is 0.01%
There are six possible outcomes in a role. Since no 1 and 6 are to be rolled. There would only be 4 possible outcomes.
So, the chance of rolling no 1 and 6 is
Since we have 5 rolls. Then we have: 1/6×1/6×1/6×1/6×1/6 = =0.00013
Therefore, the probability of rolling no 1 and 6 is approximately 0.01%.
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it's that a proposition is true.
he probability of an occasion is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.[note 1]] the upper the probability of an event, the more likely it's that the event will occur. an easy example is the tossing of a fair (unbiased) coin. Since the coin is fair, the 2 outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could even be written as 0.5 or 50%).
These concepts are given an axiomatic mathematical formalization in probability theory, which is employed widely in areas of study such as statistics, mathematics, science, finance, gambling, AI, machine learning, computing, theory of games, and philosophy, for instance, draw inferences about the expected frequency of events. applied mathematics is also used to describe the underlying mechanics and regularities of complex systems.
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Geometry Unit 2 Lesson 2 Homework
In questions 1-5, determine the type of reasoning for each statement.
In order to participate in school sports, students must have a minimum GPA of a 2.0. Jim has a GPA of 2.75, therefore he can participate in school sports.
Every Tuesday that Yolanda's family has visited a specific local restaurant, the kids' meals have been free. When Yolanda's family visits that restaurant next Tuesday, the kids' meals will be free.
A new movie director has grossed over 250 million for each of his first three movies. When his fourth movie is released, it will gross over 250 million.
The type of reasoning for each statement is as follows:
Statement 1 is deductive reasoningStatement 2 is abductive reasoningStatement 3 is abductive reasoningWhat is deductive reasoning?
Deductive reasoning is the type of reasoning that follows a more general statement to reach a specific conclusion. The conclusions of inductive reasoning is most likely true. This is the type of reasoning used in mathematics.
What is inductive reasoning?Inductive reasoning uses a more specific statement and arrive to a general conclusion. It is goes from bottom to up. The conclusion here is strongly persuasive to be true but still has false probability
For instance, in the second statement "Every Tuesday that Yolanda's family has visited a specific local restaurant, the kids' meals have been free" This does not logically mean the kids' meal is free but it is assumed to be free as it has been happening. more like taking a specific events that has happened for a while and assume it will always be so.
What is abductive reasoning?
Abductive reasoning is the type of reasoning that follows an incomplete observation to reach a more likely conclusion. The conclusions of abductive reasoning is more of a probability. This is the type of reasoning used in used in our day to day events.
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Which expression is equivalent to (5-².35) ²?
O
O
33
0-30
O
54
54
310
54
310
Answer:
О [tex]\frac{5^{4} }{3^{10} }[/tex]
Step-by-step explanation:
(5⁻² * 3⁵) ⁻²
= 1 / (5⁻² * 3⁵)²
= 1 / ((5⁻²ˣ²)(3⁵ˣ²))
= 1 / ((5⁻⁴)(3¹⁰))
= 5⁴ / 3¹⁰
Find the coordinates of the midpoint M and the distance between L(-4,5) and N(5,-3). Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation
x1 = X sub-one, y1 = Y sub-one, x2 = x sub-two, y2 = y sub-two
Midpoint Formula
M (x1 + x2/2, y1 + y2)/2)
-4 = x1, 5 = y1 and 5 = x2, -3 = y2
L(-4,5) and N (5,-3)
-4 + 5/2 = 1/2 or 0.5
5 + (-3)/2 = 2/2 = 1
Midpoint : (1/2, 1)
Drag each equation to show if it could be a correct first step to solving the equation
9(x+2)=90.
Answer:
Is there more information
Step-by-step explanation:
I'll ll answer if there is
Answer:
Do the distributive property; your new equation will be 9x + 18 = 90
Step-by-step explanation:
The first step to the problem 9(x + 2) = 90 is the distribute property. Since we don't know what x is we can't add it to 2. Instead we do the distributive property, which is when you multiply the outside number to the terms inside the parenthesis.
The equation will then be: 9x + 18 = 90
! --- Note: I'm not too sure what you are trying to ask because your question is unclear but hope this helps in some way
----------------------------------------------------------------------------------------------------
! --- If you are also looking for what x is, x = 8
What is the formula for x^2-11x+10
Answer:
In the expression
[tex] {x}^{2} - 11x + 10[/tex]
a in the formula will be substituted for 1
b in the formula will be substituted for -11
c in the formula will be substituted for 10
given the function F described by f(x)=
Mr. Brown is buying bottles of water for the volunteers of an event he is managing. He already has 17 bottles in his office and needs a total of 350 bottles of water. They are sold in cases of 24 . Write an equation to show how many more cases of water he needs.
An equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.
What is an equation?An equation is a mathematical statement that claims that two mathematical expressions are equal.
An equation contains the equation symbol (=).
Data and Calculations:The number of bottles in his office = 17 bottles
The total number of bottles required = 350 bottles
The total number of additional bottles of water required, y = 333
1 case of water bottles = 24 bottles
The equation to show the additional cases required is y = 24x - 3, where y = 333 bottles and x = 14.
Check:
y = 24x - 3
333 = 24(14) - 3
333 = 336 - 3
333 = 333
Thus, an equation to show the additional number of cases of water Mr. Brown needs is y = 24x - 3, where y = 333 bottles and x = 14.
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PLEASE HELP WITH THIS QUESTION! ILL GIVE BRAINLYEST
Also pls explain how u got ur answer since I literally don't get it..
Step-by-step explanation:
the cost for n shirts is c=15+9(n-1)
c=15+9n-9 simplify
c=9n+6
n represents the number of shirts
so for the cost of 2 shirts, n=2
c=9(2)+6
c=24
therefore it costs $24 for 2 shirts
for the cost of 5 shirts, n=5
c=9(5)+6
c=51
therefore the cost of 5 shirts is $51
1 shirt = $15
2 shirts =$24
3 shirts =$33
24-15 =9
33-24=9
so 9 is the common difference which means each additional shirt is $9 more than the price of all the previous shirts
order froom least to greatest, 1/4, 32%, 0.4
Answer:
1/4
32%
0.4
Step-by-step:
1/4 = 0.25
32 = 0.33
0.4 = 0.40
Which is the following is an arithmetic sequence?
A. 6,13,19,32,51
B. 3,6,9,12,15
C. 3,5,8,13,21
D. 1,4,5,9,14
Answer:
Step-by-step explanation:
An arithmetic sequence also known as arithmetic progression is a sequence of numbers in which the difference between consecutive terms are always the same eg 1 5 9 13 17 , the difference is always 4
so THE ANSWER TO YOUR QUESTION IS B
(8, -4) (3,8)
distance
Answer:
distance = 13
Step-by-step explanation:
The formula used to calculate the distance between two points given their coordinates is:
[tex]\boxed{\mathrm{distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}[/tex],
where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the given coordinates.
In this question, we are given the coordinates (8, -4) and (3, 8).
Using these coordinates and the formula above, we can calculate the distance between the points:
[tex]\mathrm{distance = \sqrt{(3 - 8)^2 + (8- (-4))^2}}[/tex]
[tex]= \sqrt{(-5)^2+(12)^2}[/tex]
[tex]= \sqrt{25 + 144}[/tex]
[tex]= \sqrt{169}[/tex]
[tex]= \bf 13[/tex]
Therefore, the distance between the two points is 13 units.
What equation, in point-slope form, matches the graphed line shown? line that goes through (-3, -6) and (2, -2)
PLEASE HELP ASAP!! :0
The equation, in point-slope form, matches the graphed line shown is y + 2= 0.8(x - 2)
How to determine what equation, in point-slope form, matches the graphed line shown?The points on the line are given as
(-3, -6) and (2, -2)
Calculate the slope (m) of the line using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (-2 + 6)/(2 + 3)
Evaluate
m = 0.8
The linear equation is then represented as
y - y1 = m(x - x1)
So, we have
y + 2= 0.8(x - 2)
Hence, the equation, in point-slope form, matches the graphed line shown is y + 2= 0.8(x - 2)
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The claimed made by Lawrence Summers that the women have a lower standards deviation IQ than men is not correct since only 0.15% population has IQ score more than 145
IQ, or intelligence quotient, is a measure of your ability to reason and solve problems. It reflects how well you did on a specific test compared to other people of your age group. While tests may vary, the average IQ on many tests is 100, and 68% of scores lie between 85 and 115.
Given that, suppose an IQ of 145 or higher is required to be a researcher at a top notch research institution
Use the idea of standard deviation, the Empirical Rule, and the fact that the mean and standard deviation IQ of humans is 100 and 15, respectively, to explain summer's argument.
Approximately 99.7% of the data will lie within 3 standard deviations of the mean. That is, approximately 99.7% of the data lie between α-3β and
IQ scores between = α-3β and α+3β
IQ scores = 100-3x15 and 100+3x15
= 55 and 145
We can see that approximately 99.7% of the population has IQ scores between 55 and 145
only 0.15% population has IQ score more than 145
Hence the claimed made by Lawrence Summers that the women have a lower standards deviation IQ than men is not correct since only 0.15% population has IQ score more than 145.
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Answer:
Lawrence Summers' assertion that women have a lower IQ standard deviation than men is untrue because only 0.15% of the population has an IQ higher than 145.
Step-by-step explanation:
Lawrence Summers' assertion that women have a lower IQ standard deviation than men is untrue because only 0.15% of the population has an IQ higher than 145.
Your capacity for reasoning and problem-solving is measured by your IQ, or intelligence quotient. It displays how well you performed on a certain test in comparison to other individuals in your age group. The average IQ on several tests is 100, and 68% of scores fall between 85 and 115, notwithstanding test variations.
Given that, let's assume that a prestigious research institute requires researchers to have an IQ of at least 145.
Explain summer's contention using the concept of standard deviation, the Empirical Rule, and the facts that human IQ has a mean of 100 and a standard deviation of 15, respectively.
The data will be within 3 standard deviations of the mean in about 99.7% of the cases. In other words, 99.7% of the values fall between -3 and
IQ scores ranging from -3 to +3
IQ scores are 100 x 3 x 15 and 100 x 3 x 15.
= 55 and 145
We can observe that between 55 and 145 is the range in which 99.7% of the population falls.
Only 0.15 percent of people have an IQ higher than 145.
Since just 0.15% of the population has an IQ score higher than 145, Lawrence Summers' claim that women have a lower standard deviation IQ than men is untrue.
Diego is moving to a new apartment and plans to rent a 16-foot moving truck for the
day. When he checks the cost of different rental companies, he finds that Rent-A-
Truck costs $59.95 a day plus $0.49 per mile. Sam's U-Drive costs $81 per day plus
$0.38 per mile. Austin needs to determine the mileage at which it is better to rent
from Rent-A-Truck and the mileage at which it is better to rent from Sam's U-Drive.
Let m represent the miles driven and let c represent the total cost. Write a system of
equations that represents this situation
Write the system. You do not need to solve.
Answer:
Rent-A-Truck-> 59.95+0.49m=c
Sam's U-Drive-> 81+0.38m=c
Write the equation in standard form of the line that has x-intercept 3 and y-intercept 5
Answer:
[tex] 5x + 3y = 15 [/tex]
Step-by-step explanation:
The x-intercept is 3, so the ordered pair of that point is (3, 0).
The y-intercept is 5, so the ordered pair of that point is (0, 5).
We need the equation of the line that passes through points (3, 0) and (0, 5). Also, from the y-intercept, we know that b = 5 in the slope-intercept form of the equation of a line,
y = mx + b
b = 5
We now have:
y = mx + 5
We can find the slope using the two given points.
[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{5 - 0}{0 - 3} = -\dfrac{5}{3} [/tex]
[tex] y = -\dfrac{5}{3}x + 5 [/tex]
Now we change the equation into standard form,
ax + by = c
[tex] y = -\dfrac{5}{3}x + 5 [/tex]
Multiply both sides by 3.
[tex] 3y = -5x + 15 [/tex]
Rearrange terms.
[tex] 5x + 3y = 15 [/tex]
