Answer: n has two distinct prime factors 2 and 3.
Step-by-step explanation:
As given the smallest composite number such that it can be written as the product of two positive integers that differ by 10.
i.e. if first number be x then the other number be x+10 and n=x(x+10), where n must be composite number.
So after putting the values of x by positive integer
1) x=0 then n=0(10+0)=0...which is not a composite number.
2) x=1 then n=1(1+10)=11..... which is not a composite number.
3)x=2 then n=2(2+10)=24......which is a composite number.
so our n=24 and we know that 24=2×2×2×3
Therefore its distinct prime factors are 2 and 3.
Answer:
2
Step-by-step explanation:
Solution:
The smallest pair of numbers that differ by 10 is 1 and 11; however, they multiply to 11 which is not composite. We try the next pair up: 2 and 12, which multiply to 24 which is composite, so [tex]$n=24$[/tex]. [tex]$24$[/tex] factors as [tex]$2^3 \cdot 3$[/tex], so it has [tex]$\boxed{2}$[/tex] prime factors: 2 and 3.
Hope this helped! :)
You worked the dinner shift tonight and served a family their dinner. The bill was $43.89. They left $50 to pay for the meal; the remainder was your tip. How much was your tip?
Answer:
Your tip was $6.11.
Step-by-step explanation:
You worked the dinner shift tonight and served a family their dinner.
The bill was $43.89. They left $50 to pay for the meal.
So, the remaining difference was your tip.
The remaining balance = [tex]50-43.89=6.11[/tex] dollars
Therefore, your tip was $6.11.
What is the slope of a line parallel to a line with a slope of -1/6
As the slope of parallel lines are equL therefore slope of required line is -1/6
Answer: The answer is -1/6
Step-by-step explanation:
The other person was right and I happened to get an A<3
There are 8 people who are attending a speed dating event. Each person has the chance to spend 5 minutes on a speed date, getting to know all of the other people at the event. How many unique speed dates will there be? Please help!!!
i think there should be 8 factorial. that is, 8 times 7 times 6 times 5 times 4...
There will be 28 unique speed dates in total.
Explanation:In this speed dating event, there are 8 people who each have the chance to go on a speed date with every other person at the event. Since there are 8 people, there will be 8 - 1 = 7 speed dates for each person.
To find the total number of unique speed dates, we can use the formula n * (n - 1) / 2, where n is the number of people. Plugging in 8 for n, we get (8 * 7) / 2 = 28. So, there will be 28 unique speed dates in total.
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what iz somution 6X - 7 = 12
Add 19 to both sides of the equation :
6x = 19
Divide both sides of the equation by 6:
x = 19/6 = 3.167
One solution was found :
x = 19/6 = 3.167
Ming weighed a bag of soil for a science experiment. The weight was 2.003 kg. She then removed 0.520 kg of soil from the bag. How many kilograms of soil remained in the bag?
Answer:
amount remaining = 1.483 kg
Step-by-step explanation:
According to the question Ming weighed the bag of soil for a science experiment. He discovered the weight was 2.003 kg . She then removed 0.520 kg of soil from the bag she weighed initially.
The amount in weight(kg) of soil that is remaining in the bag will be the initial weight minus the amount of weight she removed .
amount remaining = initial weight - amount removed
initial weight = 2.003 kg
amount removed = 0.520 kg
amount remaining = 2.003 - 0.520
amount remaining = 1.483 kg
what is the solution of 7k+2=4k-10?
Use one of the reasons from the box to justify each step.
You may use a reason more than once.
k=-4
7k+2=4K-10
+10 +10
7k+12=4K
-7k -7k
12=-3k
Divide both sides by -3
K=-4
The solution is k = -4.
To solve the linear equation 7k+2=4k-10, we need to isolate the variable k on one side of the equation. Here are the steps to simplify the equation and find the value of k:
Subtract 4k from both sides to eliminate the variable from the right side of the equation: 7k - 4k + 2 = 4k - 4k - 10, which simplifies to 3k + 2 = -10.
Subtract 2 from both sides to eliminate the constant term from the left side of the equation: 3k + 2 - 2 = -10 - 2, which simplifies to 3k = -12.
Divide both sides by 3 to solve for k: 3k / 3 = -12 / 3, which simplifies to k = -4.
Now we need to check the solution by substituting k = -4 back into the original equation to verify that it holds true:
7(-4) + 2 = 4(-4) - 10
-28 + 2 = -16 - 10
-26 = -26
The left and right sides of the equation are equal, confirming that k = -4 is the correct solution. Thus, the steps are justified and the solution is reasonable
julie made $22 $55 $38 and $25 babysitting how much did she make babysitting
she made $140 dollars babysitting
hope it helps
All we have to do to find the total amount of money she made babysitting, is add up $22, $55, $38 and $25. This will give us the total
$22 + $55 + $38 + $25 = $140
Therefore she made a total of $140 babysitting
Hope this helps you
-AaronWiseIsBae
Teresa went on a vacation for
9 weeks last summer. How many days long was Teresa's vacation?
For this one, take the amount of weeks time the amount of days in a week and multiply them together.
9 weeks
7 days in a week
9 times 7= 63.
Since it is a word problem, we need to answer it in the same format.
Teresa was on vacation for 63 days.
A bus averages 4 miles per hour faster than a motorcycle. If the bus travels 180 miles in the same time it takes the motorcycle to travel 156 miles, then what is the speed of each?
Set up equations:
(1) speedbus = speedbike+4
(2) speedbus/speedbike = 180/156
plug (2) into (1)
speedbike * 180/156 = speedbike + 4
(solve for speedbike)
speedbike = 4 / (180/156-1) = 26 mph
--> speedbus = 26+4 = 30mph
Solve for Y2: m= y2-y1 over x2-x1
y2 = m(x2-x1) + y1
Hope this helps :)
80% of what number is 16
a. part =
b. total =
c. percent =
d. write and solve the proportion
This graph shows a portion of an even function. Use the graph to complete the table of values. x f(x) −1 −3 −5 −6
Answer:
Sorry that im late but the answer is 1,1,3,3
Step-by-step explanation:
follow the graph steps and then calculate the points
A graph is used to show the relationship between related variables.
The complete table is:
[tex]\left[\begin{array}{cc}x&f(x)\\-1&1\\-3&1\\-5&3\\-6&3\end{array}\right][/tex]
A function is said to be even is:
[tex]f(x)=f(-x)[/tex]
This means that:
[tex]f(-1)=f(1)[/tex]
[tex]f(-3)=f(3)[/tex]
[tex]f(-5)=f(5)[/tex]
[tex]f(-6)=f(6)[/tex]
So, from the graph, we have:
[tex]f(1) = 1[/tex]
[tex]f(3) = 1[/tex]
[tex]f(5) = 3[/tex]
[tex]f(6) = 3[/tex]
This implies that:
[tex]f(-1) = 1[/tex]
[tex]f(-3) = 1[/tex]
[tex]f(-5) = 3[/tex]
[tex]f(-6) = 3[/tex]
Use the above values to complete the table. So, we have the complete table to be:
[tex]\left[\begin{array}{cc}x&f(x)\\-1&1\\-3&1\\-5&3\\-6&3\end{array}\right][/tex]
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3times4 dividend by6 plus 2
The correct answer is 3*4=12/6=2+2=4
Your answer is 4
3 x 4 ÷ (6 + 2) = 1.5
3 x 4 ÷ (6 + 2) =
3 x 4 ÷ 8 =
12 ÷ 8 =
1.5
Hope this helps you
-AaronWiseIsBae
Point B is at (4,-16).Where is B prime after a dilation with a scale factor of 3/4
After applying the dilation with a scale factor of 3/4, point B at (4,-16) will transform to B prime (B') at (3,-12).
Explanation:The point B is originally at (4,-16). In a dilation, each coordinate of the initial point is multiplied by the scale factor to obtain the coordinates of the transformed point. Here, the scale factor is 3/4. To find the coordinates of the point B prime (B') after the dilation, we multiply each coordinate of point B by 3/4:
X-coordinate of B' = 4 * (3/4) = 3
Y-coordinate of B' = -16 * (3/4) = -12
Therefore, the coordinates of B prime (B') after the dilation with a scale factor of 3/4 are (3, -12).
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Add the following decimals. a. 12.8 + 27.38 + 0.562 b. 13.46 + 5.003 + 0.0321 c. 0.952+ 1.57 + 0.803 d. 43 + 2.386 + 3.74 e. 13.678 + 52.04 + 5.276 + 0.63 f. 0.6 + 0.54 + 1.2 + 116.086 g. 54.2 + 5.42 + 0.542 + 0.0541 h. 10.01 + 9.987 + 3.75 + 2.316
a. 12.8 + 27.38 + 0.562 = 40.742
b. 13.46 + 5.003 + 0.0321 =18.4951
c. 0.952+ 1.57 + 0.803 =3.325
d. 43 + 2.386 + 3.74 =49.126
e. 13.678 + 52.04 + 5.276 + 0.63 =71.624
f. 0.6 + 0.54 + 1.2 + 116.086 =1.7361
g. 54.2 + 5.42 + 0.542 + 0.0541 =60.2161
h. 10.01 + 9.987 + 3.75 + 2.316=26.063
Answer with Step-by-step explanation:
We have to add the decimals.
a. 12.8 + 27.38 + 0.562 = 40.742
b. 13.46 + 5.003 + 0.0321 =18.4951
c. 0.952+ 1.57 + 0.803 =3.325
d. 43 + 2.386 + 3.74 =49.126
e. 13.678 + 52.04 + 5.276 + 0.63 =71.624
f. 0.6 + 0.54 + 1.2 + 116.086 =118.426
g. 54.2 + 5.42 + 0.542 + 0.0541 =60.2161
h. 10.01 + 9.987 + 3.75 + 2.316=26.063
If f(x)=6x+7 and g(x)=x^2-4 find value of g(-4t)
The final value of g(-4t) is [tex]16t^2 - 4.[/tex]
To find the value of g(-4t) with [tex]g(x) = x^2 - 4[/tex], substitute -4t into the function
The task is to find the value of g(-4t) when given that [tex]g(x) = x^2 - 4.[/tex]
To solve this, we simply replace x with -4t in the function g(x).
So, [tex]g(-4t) = (-4t)^2 - 4.[/tex]
Squaring -4t gives us [tex]16t^2[/tex], so the expression simplifies to [tex]16t^2 - 4.[/tex]
The final value of g(-4t) is [tex]16t^2 - 4.[/tex]
The values are: f(-3) = -11, f(m) = 6m + 7, f(r-2) = 6r - 5, g(5) = 21, and g(a) + 9 = a^2 + 5.
f(-3): Replace x with -3 in f(x) = 6x + 7Complete question is:
If f(x)=6x+7 and g(x)=x^2-4, find each value.
1.) f(-3)
2.) f(m)
3.) f(r-2)
4.) g(5)
5.) g(a)+9
How do I solve?
A container has 17 1/2 cups of lemonade. Asher gives each of his classmates 5/6 of a cup. He gives away all of the lemonade. How many classmates does Asher give lemonade to? Explain each st e by using first,next and last method
A container has 17 and 1/2 cups of lemonade.
Asher gives each of his classmates 5/6 of a cup.
He gives away all of the lemonade.
Solution:
There are 17.5 cups of lemonade.
Each classmate receives 5/6 of a cup.
So the number of classmates = Number of cups ÷ proportion of a cup each student receives
Number of classmates = 17.5 ÷ 5/6 = 21 classmates
There are 21 classmates.
Answer:
21 classmates.
Step-by-step explanation:
We have been given that a container has 17 1/2 cups of lemonade. Asher gives each of his classmates 5/6 of a cup.
To find the number of classmates that will get lemonade, we will divide total amount of lemonade by amount given to each classmate.
[tex]\text{Classmates that will get lemonade}=17\frac{1}{2}\div\frac{5}{6}[/tex]
Convert mixed fraction into improper fraction:
[tex]17\frac{1}{2}\Rightarrow=\frac{17\times 2+1}{2}=\frac{34+1}{2}=\frac{35}{2}[/tex]
[tex]\text{Classmates that will get lemonade}=\frac{35}{2}\div\frac{5}{6}[/tex]
Convert into multiplication problem by flipping the 2nd fraction:
[tex]\text{Classmates that will get lemonade}=\frac{35}{2}\times\frac{6}{5}[/tex]
[tex]\text{Classmates that will get lemonade}=\frac{7}{1}\times\frac{3}{1}[/tex]
[tex]\text{Classmates that will get lemonade}=7\times3[/tex]
[tex]\text{Classmates that will get lemonade}=21[/tex]
Therefore, Asher gave lemonade to 21 classmates.
y=2.25x
HELP ME PLEASE
What are the options for this answer so I can further help you.
0.1875 rounded to the nearest hundredth
To round the number 0.1875 to the nearest hundredth, you look at the thousandths place. As the digit (5) is 5 or more, we round up, giving us 0.19.
When rounding a decimal number to the nearest hundredth, you need to look at the digit in the thousandth place.
The number 0.1875 has a 5 in the thousandths place.
In rounding, if the digit immediately after the place we're rounding to is 5 or larger, we round up, otherwise we round down. Hence, 0.1875 rounded to the nearest hundredth becomes 0.19.
To clarify, 0.1875 is between 0.18 and 0.19, but is closer to 0.19 because of the 5 in the thousandths place prompting the round up.
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One beaver can chew though a tree that is 15 cm thick in 20 min if it works at the same pase how long will it tack one beaver to cut down enough trees to create a stack 1.2 meters tall
in 2004, approxhnately 5 million cars and trucks were classified as fleX-fuel,
which means they could run on gasoline or ethanol. In 2016, that number increased to about 20 million. How many more cars and trucks were flex-fuel in 2016?
Approximately 15 million more cars and trucks were flex-fuel in 2016 compared to 2004.
Explanation:The number of flex-fuel cars and trucks in 2004 was approximately 5 million. In 2016, this number increased to about 20 million. To find out how many more cars and trucks were flex-fuel in 2016, we need to subtract the number of flex-fuel vehicles in 2004 from the number in 2016.
Number of flex-fuel vehicles in 2016: 20 million
Number of flex-fuel vehicles in 2004: 5 million
More flex-fuel vehicles in 2016 = Number of flex-fuel vehicles in 2016 - Number of flex-fuel vehicles in 2004
= 20 million - 5 million
= 15 million
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Angie baked 100 cookies and 20 brownies
yes, so in total she baked 120 goodies.
Why hello there
If Angie baked 100 cookies and 20 brownies i asume you are asking eaither 4 thing
Multiplyed: 2,000
Divided: 5
Subtracted: 80
Added: 120
If my answer helped please mark me as brainliest thank you and have the BEST day ever!
Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0.
12-pack of Skwunch apple juice cost $3.00 after a 40% discount. which equation would allow you to find the original price of the 12-pack?
$3.00 is with a 40% discount
so 3 = 0.6x (3 is 1.00 - 0.40 = 0.60 of unknown original price x)
so 3/0.6 = x to get that price which is $5
Answer:
Step-by-step explanation:
$3.00 is with a 40% discount
so 3 = 0.6x (3 is 1.00 - 0.40 = 0.60 of unknown original price x)
so 3/0.6 = x to get that price which is $5
Hope it helps!
is the difference of two positive rational number always positive? Explain
NO, the difference between two positive rational numbers is not always positive.
A rational number is any number that can be expressed as a fraction of two different integers and these integers in their fractional form are not equal to zero.
Now, let assume the two positive numbers are 8 and 12. In rational positive
number, the numbers will be: [tex]\mathbf{\dfrac{8}{1}}[/tex] and [tex]\mathbf{\dfrac{12}{1}}[/tex]
The difference between these two rational numbers will not be positive because 12 is a larger number than 8.
[tex]\mathbf{=\dfrac{8}{1}-\dfrac{12}{1}}[/tex]
= -4
Therefore, the difference between two positive rational numbers is not always positive.
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People were surveyed about pizza toppings. The results are shown in the Venn diagram. How many people don't like mushrooms?
10
13
20
21
It would be 13 because if you add 3,6,and 4you get 13. Also you should add those because they are the only numbers not in the mushroom circle of the Venn diagram.
Answer:
13
Step-by-step explanation:
Which statement is NOT one of the axioms of Euclidean geometry?
A.
Given any two distinct points, there is exactly one line that contains them.
B.
Every plane contains at least three points that do not lie on the same line.
C.
If two points lie in a plane, the line containing these points also lies in the plane.
D.
If two planes intersect, their intersection is a point.
Answer:
b
Step-by-step explanation:
B: Every plane contains at least three points that do not lie on the same line
To answer this question, we will have to state the 5 axioms of Euclidean geometry and they are;
1. A straight line could be drawn between any two points; This means that as long as there is no obstacle between the two points, then we can say that it is possible to draw a straight line between both points. However, if there is an obstacle between the two points, then it is not possible to draw a straight line.
2. Any straight line that is terminated could still be extended indefinitely; A line segment may be bound by an endpoint, but a straight line is not bounded by any endpoint and as a result, it can be extended indefinitely in both directions.
3. A circle could be drawn with any given center point and any given radius; If for example we use a line segment bounded by two end points. If we use one of these 2 endpoints to be the centre of a circle and make the radius of the circle to be equal to the length of the line segment earlier used as an example, it means if we draw a circle, it will have a diameter that is twice the length of that same line segment.
4. All right angles are definitely equal; A right angle always has a measurement of 90°. This means that regardless of its' orientation, it will still remain 90°.
5. For any given point that is not on a given line, there will be exactly one line passing through the point that would not meet that same given line; This implies that two lines will be parallel to each other if they intersect a third line with the interior angle between them being 180°.
Looking at the given options in the question, the only one that doesn't correspond to any of these 5 axioms I have stated would be option B.
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if 30% of a length of a string is 40m what is 70% of the string
L = length of string
L * .30 = 40m
L = 40 / .30
Length of the whole string = 133.3333333333 m
70% = .70 * 133.3333333333 = 93.3333333333m
Ameena's boat travels 35 miles per hour. The best fishing spot in the lake is 27 miles away from her starting point. If she drives her boat for 2/3 of an hour, will she make it to the best fishing spot on the lake?
Answer: No, she will not make it tot he best fishing spot on the lake.
Step-by-step explanation:
Since we have given that
Distance between the starting point and the best fishing spot = 27 miles
Speed at which Ameena drives = 35 miles per hour
Time she takes to drive her boat is given by
[tex]\frac{2}{3}\text{ of an hour}[/tex]
As we know that ,
[tex]Distance=Speed\times time\\\\Distance=35\times \frac{2}{3}\\\\Distance=\frac{70}{3}\\\\Distance=23.33\text{ miles}[/tex]
But we have given that the best fishing spot in the lake is 27 miles away from her starting point ,
[tex]\text{And with this speed in }\frac{2}{3}\text{ of an hour he reached only }23.33 \text{ miles. }[/tex]
So,
No, she will not make it tot he best fishing spot on the lake.
No, she will not
Find how far Ameena's boat will have traveled at two thirds of an hour.
(35 miles per hour) (2/3 of an hour)= 23.33 miles
Ameena's boat will have traveled just over 23 miles. She will not have reached the best fishing spot which will still be approximately another 4 miles away.
To find how far Ameena's boat has traveled you multiplied the speed by the time, but since time is now the unknown variable, divide the distance by the speed
27 miles divided by 35 miles per hour to get 0.77 hours
What is the conversion for hours to minutes?
0.77 = 46.2 minutes
Alice and Carl each have the same number of marbles. Alice puts her marbles into groups of four with none left over. Carl puts his marbles into groups of 10 with none left over. What is the LEAST total number of marbles that Alice and Carl can each have?
Hey
Since there is none left over for both groups of 10 and 4, the number of marbles must be an LCM of 10 and 4, which is 20. Check: 20/10=2 groups of 10, 20/4=5 groups of 4. Thus the LEAST number of marbles each has must be 20, while multiples of 20 are possibilities, such as 40, 60, 80,100, ..
goodluck