Answer:
16
Step-by-step explanation:
Step 1: Start by setting it up with the divisor 2 on the left side and the dividend 32 on the right side.
Step 2: The divisor (2) goes into the first digit of the dividend (3) 1 time(s). therefore, put 1 on top.
Step 3: Multiply the divisor by the result in the previous step (2 x 1 = 2) and write that answer below the dividend.
Step 4: Subtract the result in the previous step from the first digit of the dividend (3-2=1) and write the answer below.
Step 5: Move down the 2nd digit of the dividend (2)
Step 6: The divisor (2) goes on into the bottom number (12), 6 time(s). Therefore, put 6 on top.
Step 7: Multiply the divisor by the result in the previous step (2 x 6 = 12) and write that answer at the bottom.
Step 8: Subtract the result in the previous step from the number written above it. (12-12=0) and write the answer at the bottom.
That is it.
After Dividing 33 by 2 using long division method we get,
quotient = 16 and remainder = 1
Here we have to divide,
33 by 2 through long division method,
Since we know that,
In mathematics, long division is the procedure of dividing big numbers into smaller groups or sections. It is beneficial to divide a difficulty into small and straightforward steps. Dividends, divisors, quotients, and remainders are all part of the long divisions. The dividend in a long division problem is the enormous number that is divided by another integer known as the divisor. The quotient is the outcome of the division, while the remainder is the extra quantity that cannot be divided.
Therefore, proceed the long division,
2 ) 33 ( 16
- 2
_____
1 3
- 1 2
________
1
Hence, After long division we get,
quotient = 16 and remainder = 1
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Two groups of students were asked how far they lived from their school. The table below shows the distances in miles:
Group A (distance in miles) 1 1.5 3 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.8 2.4 3
Which statement best compares the mean distances for the two groups?
tie anual for Group A and Group B.
Answer:
(b) The statement : It is greater for Group B than Group A is correct.
Step-by-step explanation:
Here, the given question is INCOMPLETE.
Two groups of students were asked how far they lived from their school. The table below shows the distances in miles
Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8
Which statement best compares the mean distances for the two groups?
It is equal for Group A and Group B.
It is greater for Group B than Group A.
Its value for Group A is double the value for Group B.
Its value for Group B is double the value for Group A.
Answer:
Now,here the calculating the mean as calculated by the group A.
[tex]\textrm{Mean} = \frac{\textrm{Sum of Obseravtion}}{\textrm{ Number of Observation}}[/tex]
Mean as calculated by Group A = [tex]\frac{\textrm{1 + 1.5 +3 +3.2+ 2.8+ 1.5 +1.8+ 2.5 +2.2}}{\textrm{ Number of Observation}} = \frac{19.5}{9} =2.16[/tex]
So, mean by Group A = 2.16
Now, calculating the mean as calculated by the group B.
[tex]\textrm{Mean} = \frac{\textrm{Sum of Obseravtion}}{\textrm{ Number of Observation}}[/tex]
Mean as calculated by Group B = [tex]\frac{\textrm{2 + 2.5 +3.23 +1.3 + 1.8+ 2.4 +3 +1.5 +1.8}}{\textrm{ Number of Observation}} = \frac{14.93}{9} =2.48[/tex]
So, mean by Group B = 2.17
Hence, the statement : It is greater for Group B than Group A is correct.
Answer:
The correct answer is B. It is greater for Group B than Group A.
Step-by-step explanation:
The values are not equal and the difference just isn't enough for it to be any of the other answers making B the right option.
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What is the domain of the function shown in the mapping?
Input
Output
{x|x=-5, -3, 1, 2, 6}
{yl y = -9,6, 0, 2, 4}
{x|x = -9, -6, -5, -3,0, 1, 2, 4, 6}
{yly = -9, -6, -5, -3,0, 1, 2, 4, 6}
{x|x=-5, -3, 1, 2, 6} is the domain of the function shown in the mapping?.
Step-by-step explanation:
The function’s domain is the whole group of the possible values for the independent variables. Generally, this definition explains:
A domain is a group of all possible x values that cause a "function work" to perform true y values.
When finding your domain, pay attention to the following:
• The denominator (in bottom) must not be zero
• The number below the square root must be positive in the section.
From the given mapping figure, Domain: {x| x = -5, -3, 1, 2, 6}
what are associative on rational numbers
Answer:yo7 can add or multiply numbers regardless how they are grouped
Step-by-step explanation:
A student number system for a county requires that the student number be 5 characters.
The first 4 characters are any single digit number, but no character can repeat and the last
character must be a letter. How many unique student numbers are possible?
30,240
131,040
260,000
315,160
Answer:
131040
Step-by-step explanation:
10*9*8*7*26
=131040
Final answer:
To calculate the unique student numbers possible, multiply the number of options for each character position: 10 x 9 x 8 x 7 for the digits and multiply by 26 for the final letter, yielding 131,040 unique numbers.
Explanation:
The question asks us to calculate how many unique student numbers are possible with a specific format: the first four characters must be single-digit numbers with no repeat, and the last character must be a letter.
To find the total number of unique student numbers, we multiply the possibilities for each position. For the first position, we have 10 choices (0-9), for the second position 9 choices (excluding the first digit chosen), for the third position 8 choices, and for the fourth position 7 choices. This can be calculated using factorial notation as 10 x 9 x 8 x 7. The last character is a letter and since there are 26 letters in the English alphabet, we have 26 choices for the last character. The total number of combinations is hence 10 x 9 x 8 x 7 x 26, which equals 131,040.
PLEASE HELP QUICKLY 25 POINTS
What is the common difference,d,of the sequence ?
-92,-74,-54,-38,-20
Enter your answer in the box
D = [ ]
Answer:
+18
Step-by-step explanation:
for the function below, state the x-coordinate of the x-intercept that is located to the left of the origin
f(x)=4x^3-12x^2 - x + 15
Answer:
The x-coordinate of the x-intercept that is located to the left of the origin is equal to -1
Step-by-step explanation:
we have the function
[tex]f(x)=4x^3-12x^2-x+15[/tex]
we know that
The x-intercepts are the values of x when the value of the function is equal to zero
using a graphing tool
The function has three x-intercepts
The x-intercepts are the points
(-1,0),(1.5,0) and (2,5,0)
see the attached figure
The x-intercept that is located to the left of the origin is the point (-1,0)
therefore
The x-coordinate of the x-intercept that is located to the left of the origin is equal to -1
Answer:
The x-coordinate of the x-intercept is -1.
Step-by-step explanation:
Estimate the size of a crowd walking in a charity fundraising march that occupies a rectangular space with dimensions of 10 feet by 1,200 feet (to the nearest whole number). Assume that 40 people occupy a rectangle measuring 10 feet by 12 feet.
Answer:
4000 is size of a crowd walking in a charity fundraising March.
Step-by-step explanation:
Given:
Dimensions of rectangular space 10 feet by 12000 feet
So we can say that,
Length = 1200 ft
Width = 10 ft
Now we will calculate the area of rectangular space which is given by
Hence Area will be = [tex]length\times width= 10\ ft \times 1200 \ ft= 12000 \ ft^2[/tex]
Now we know that 40 people occupy a rectangle measuring 10 feet by 12 feet.
Length = 12 ft
Width = 10 ft
Area = [tex]length\times width= 10\ ft \times 12 \ ft= 120 \ ft^2[/tex]
It says that 40 people are occupied in 120 [tex]ft^2[/tex]
So how many people will be there in 12000 [tex]ft^2[/tex]
By using unitary method we get,
Number of people = [tex]\frac{40\times 12000 \ ft^2}{120 \ ft^2} = 4000 \ peoples[/tex]
Size of a crowd walking in a charity fundraising March is 4000.
Answer:
4,000 people
Step-by-step explanation:
49 people occupy 120 ft^2
Dimensions of crowd: 10×1,200=12,000
120 ft^2/40 people = 12,000 ft^2/x people
X=4,000
Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day working and already has $12 saved, which equation shows how many days Marco must work before he can afford the shoes?
Answer:
3x+12=57
x= how many days
Step-by-step explanation:
Answer:
[tex]3x+12=57[/tex]
Step-by-step explanation:
Let x represent number of days.
We have been given that Marco earns $3 per day working. So amount earned in x days would be [tex]3x[/tex].
We are also told that Marco already has $12 saved, so total amount saved by Marco in x days would be [tex]3x+12[/tex].
Now we will equate total amount saved by Marco in x days with 57 as Marco needs to save $57 to buy new shoes.
[tex]3x+12=57[/tex]
Therefore, the equation [tex]3x+12=57[/tex] shows the number of days (x) that Marco must work before he can afford the shoes.
1. Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more fean
the other, find the price of the less expensive piece of equipment. Assume all data ze 2002
to two significant agits unless grezier 20curacy is given
Answer:
$1,575
Step-by-step explanation:
x = the cost of the less expensive piece of equipment
x+850 = the cost of the more expensive piece of equipment
x + (x+850) = 4,000 the. two pieces together cost 4,000, so I added up the cost of the less expensive piece and the more expensive piece, and equaled it to 4,000
solve the equation:
x + (x+850) = 4,000
2x+850=4,000
2x=3,150
÷2
x=1,575
The temperature is -2∘C. If the temperature rises by 15∘C, what is the new temperature?
13 Degrees Celsius, or 55.4 degrees Fahrenheit.
-2 + 15 = 13. To find your answer in Fahrenheit, just do (Celsius here) x 9/5 + 32.
The new temperature value if an initial temperature value of - 2°C rises by 15°C will be 13°C
Using the addition operation :
Initial temperature = - 2°Temperature increase = 15°Final temperature = Initial temperature + Final temperature
Final temperature = (-2°C + 15°C) = 13°C
Therefore, the final temperature is 13°C
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If a figure has been dilated by a scale factor of 1/3, which transformation could be used to prove the figures are similar using the AA similarly postulate?
A rational function is a function whose equation contains a rational
expression.
A. True
B. False
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
What minus -4 2/3 equals a positive number
Answer:-4 2/3
Step-by-step explanation: negative number minus itself will always be positive.
Evaluate n+2x2 when n=3 and x=−2.
Answer:
When n=3 and x=−2 the answer is 11.
Step-by-step explanation:
Given:
Let p (n,x) be the function such that
[tex]p (n,x) = n + 2x^{2}[/tex]
To Find:
p (n,x) = p ( 3, -2) = ?
Solution:
[tex]p (n,x) = n + 2x^{2}[/tex]
Substituting n = 3 and x = -2 we get
[tex]p (3, -2) = 3 + 2(-2)^{2}[/tex]
Negative square gives positive number therefore (-2)²=4
[tex]p (3, -2) = 3 + 2\times 4[/tex]
[tex]p (3, -2) = 3 + 8\\p (3, -2) = 11[/tex]
When n=3 and x=−2 the answer is 11.
Final answer:
When evaluating the expression n+2x^2 with n=3 and x=-2, we substitute the values to get 3 + 2(-2)^2, which simplifies to 3 + 8. The final evaluated expression is 11.
Explanation:
To evaluate the expression n+2x² with given values for n and x, we need to substitute the values into the expression and simplify it.
In this case, n = 3 and x = -2. Substituting these values in, we get:
3 + 2(-2)²
First, we calculate the square of -2:
3 + 2(4)
Now, we multiply 2 by 4:
3 + 8
Finally, we add 3 and 8 together:
11
Therefore, the evaluated expression is 11.
Justin opens a savings account with $4. He saves $2 each week. Does a linear function or a nonlinear function represent this situation? Explain.
Yes , the situation can be represented by a linear function where the equation is A = 2x + 4 where x is the number of weeks
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
The initial amount in Justin's savings account = $ 4
The amount saved by Justin every week = $ 2
Let the number of weeks be = x
So , the amount saved by Justin in x weeks = 2x
Now , the total amount saved by Justin in savings account A = initial amount in Justin's savings account + amount saved by Justin in x weeks
Substituting the values in the equation , we get
A = 4 + 2x
On simplifying the equation , we get
A = 2x + 4
which is of the form of a linear equation of line
Hence , the linear equation is A = 2x + 4 , where x is the number of weeks
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What is the volume of this rectangular prism?
4.8 cm
4.1 cm
15 cm
Answer:
those are the dimentions
Step-by-step explanation:
in a sale normal prices are reduced by 10% nathelie bought a pair of shoes in the sale for £54 what was the original price of the shoes
Answer:
Step-by-step explanation:
10% of £54=£5.4 (price reduced by 10%)
Normal price should be £5.4 +£54= £59.4
Hey! How are you? My name is Maria, 19 years old. Yesterday broke up with a guy, looking for casual sex.
Write me here and I will give you my phone number - *pofsex.com*
My nickname - Lovely
×/76 = 4/12
Solving proportions
Answer:
x = 25.33333333
Step-by-step explanation:
x = 4
76 12
Cross multiply:
x * 12 = 76 * 4
Simplifying
x * 12 = 76 * 4
Reorder the terms for easier multiplication:
12x = 76 * 4
Multiply 76 * 4
12x = 304
Solving
12x = 304
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '12'.
x = 25.33333333
Simplifying
x = 25.33333333
Three consecutive integers have a sum of 132?
Answer:
43 , 44 ,45
Step-by-step explanation:
X + X + 1 + X + 2 = 132
3X + 3 = 132
3X = 132 - 3
3X = 129
X = 129/3
X = 43
so first number is 43.
second number will be 43 + 1 = 44
third number will be 43 + 2 = 45
The third angle of a triangle is the same size as the first. The second angle is 4 times the third. Find the measure of angles.
Answer:
1st angle 30°
2nd angle 120°
3rd angle 30°
Step-by-step explanation:
Let's call
A = 1st angle
B = 2nd angle
C = 3rd angle
In every triangle it holds
A + B + C = 180°
Now, if the third angle of the triangle is the same size as the first
A = C
If the second angle is 4 times the third
B = 4C
we have then
C + 4C + C = 180° ===> 6C = 180° ===> C = 30°
If C = 30° then A = 30° and B = 120°
What is the following product square root 10* square root 10
Answer: 10
Step-by-step explanation:
Answer:
The answer would be ten.
Step-by-step explanation:
I plugged it into my TI-84 plus calculator.
Solve the system of linear equations. 2x + 5y = 12 4x − y = 2
Answer:
x=1, y=2. (1, 2).
Step-by-step explanation:
2x+5y=12
4x-y=2
--------------
y=4x-2
2x+5(4x-2)=12
2x+20x-10=12
22x-10=12
22x=12+10
22x=22
x=22/22
x=1
4(1)-y=2
4-y=2
y=4-2=2
y=2
Answer:
x = 1, y = 2 → (1, 2)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}2x+5y=12\\4x-y=2&\text{multiply both sides by 5}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+5y=12\\20x-5y=10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad22x=22\qquad\text{divide both sides by 22}\\.\qquad x=1\\\\\\\text{Put the value of}\ x\ \text{to the second equation:}\\\\4(1)-y=2\\4-y=2\qquad\text{subtract 4 from both sides}\\-y=-2\qquad\text{change the signs}\\y=2[/tex]
The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark
charges $20 for each adult ticket and $10 for each child's ticket. They sold 3 times as many
children's tickets as adult tickets.
Write a system of equations that can be used to determine the number of adult ar
child tickets sold.
Answer:
The number of adult tickets sold was 300 and that of child's ticket sold is 900.
Step-by-step explanation:
Let us assume that the ticket sales at Wednesday's game are x number adult and y number child's tickets.
Therefore, as per given conditions, we can write, y = 3x .......... (1)
Again, each adult ticket cost $20 and each child's ticket costs $10 and there was a $15000 ticket sale.
So, 20x + 10y = 15000
⇒ 2x + y = 1500 ......... (2)
Now, solving equations (1) and (2) we get,
2x + 3x = 1500
⇒ 5x = 1500
⇒ x = 300 and y = 3x = 900
Therefore, the number of adult tickets sold was 300 and that of child's ticket sold is 900. (Answer)
P(A) = 8/15
P(B) = 6/15
P(A n B) = 1/5
Find P(AUB)
A. 2/15
B. 11/15
C. 1/15
D. 4/15
Answer:
Step-by-step explanation:
note : P(AUB) = p(A)+p(B) - p(A∩B)
P(AUB) = 8/15+6/15- 1/5 = 8/15+6/15-3/15 = 11/15 answer : B
Probability helps us to know the chances of an event occurring. The correct option is B.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that P(A) = 8/15, P(B) = 6/15, and P(A n B) = 1/5. Therefore, the value of P(AUB) will be,
P(AUB) = P(A) + P(B) + P(A n B)
= 8/15 + 6/15 - 1/5
= 11/15
Hence, the correct option is B.
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PLEASE HELP ASAP!!! heres the screenshot... please answer with two senteces! srry it is sideways :(
Answer:
jo mamma
Step-by-step explanation:
A garden patio is covered with grey slabs and yellow slabs
1/5 of the slabs are grey
The ratio of grey to yellow slabs are 1:4
There are 55 slabs in total
Work out number of yellow slabs
Answer:
There are 44 yellow slabs.
Step-by-step explanation:
Multiply 1/5 x 55. This gives you 11. 55 - 11 = 44.
The number of yellow slabs in a garden patio is 44.
Given that, a garden patio is covered with grey slabs and yellow slabs 1/5 of the slabs are grey.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
The ratio of grey to yellow slabs are 1:4.
There are 55 slabs in total.
Number of grey slabs =1/5 ×55
= 11
So, the number of yellow slabs
= 55-11
= 44
Therefore, the number of yellow slabs in a garden patio is 44.
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Marcela estimates the distance between the library and town hall is 735 ft. The actual distance is 612 ft.
What is the percent error in Marcela's estimate?
Round your answer to the nearest tenth of a percent.
Enter your answer in the box.
Answer:
20.1%.
Step-by-step explanation:
(735 - 612 = 123 ft.
% error = (123/612) * 100
= 20.1%.
Select the equation of the line that passes through the point (3, 5) and is
perpendicular to the line x= 4
O 1) y = 5
O2)x= 5
O3) y = 4
O4) x = 3
Answer:
1) y = 5Step-by-step explanation:
x = 4 it's a vertical line.
Perpendicular line to a vertical line is a horizontal line.
A horizontal line has equation y = a.
A horizontal line passes through the point (3, 5) → x = 3 and y = 5.
Therefore the equation is y = 5
Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56
miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour.
Solve the system
Answer:
2.5
Step-by-step explanation:
56(t+1/2)=70 t
56T + 28= 70T
28=70T-56T
28=14
2=T
s=T+ 1/2
S=2+ 1/2
S=2.5 hours
Tina traveled for 2 hours at a speed of 70 miles per hour, covering a distance of 140 miles.
Stephanie traveled for 2.5 hours at a speed of 56 miles per hour, also covering a distance of 140 miles.
What's the expression about?The distance traveled by a vehicle is given by the formula: distance = speed × time.
For Stephanie:
Distance_stephanie = Speed_stephanie × Time_stephanie
Distance_stephanie = 56 × (t + 0.5)
For Tina:
Distance_tina = Speed_tina × Time_tina
Distance_tina = 70 × t
Since both Stephanie and Tina are traveling the same route, the distances they travel should be equal:
Distance_stephanie = Distance_tina
Substitute the expressions for distances:
56 × (t + 0.5) = 70 × t
Now solve for "t":
56t + 28 = 70t
28 = 14t
t = 28 / 14
t = 2
So, Tina traveled for 2 hours.
Now we can find the distance traveled by both Stephanie and Tina:
Distance_tina = 70 × t
Distance_tina = 70 × 2
Distance_tina = 140 miles
Distance_stephanie = 56 × (t + 0.5)
Distance_stephanie = 56 × (2 + 0.5)
Distance_stephanie = 56 × 2.5
Distance_stephanie = 140 miles
Both Stephanie and Tina traveled a distance of 140 miles.
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A = {1, 2, 5, 7} B = {3, 4, 6, 7} C = {0, 5, 8, 9} Find A U B U C. A) {0,1,2,3,4,5,6,7,8,9} B) {1,2,3,4,5,6,7} C) {3,4,5,6,7} D) {3,4,7}
A) {0,1,2,3,4,5,6,7,8,9} is the right answer
Step-by-step explanation:
Given
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
We hvae to find the union of all thre sets. In union, the elements of involved sets are combined. The repating elements are only written once
So,
[tex]AUBUC = \{1, 2, 5, 7\}U\{3, 4, 6, 7\}U\{0, 5, 8, 9\}\\= \{0,1,2,3,4,5,6,7,8,9\}[/tex]
Hence,
A) {0,1,2,3,4,5,6,7,8,9} is the right answer
Keywords: Sets, Union
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