In order to find the common prime factors of 130 and 165, let us first find prime factors of 130 and 165 individually and then we can compare.
Prime factors of 130 can be found as:
130 is a composite number because it has factors other than 1 and itself.
It is not a prime number. The 8 factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. The factor pairs of 130 are 1 x 130, 2 x 65, 5 x 26, and 10 x 13.
The proper factors of 130 are 1, 2, 5, 10, 13, 26, and 65.
The prime factors of 130 are 2, 5, and 13.
Prime factors of 165 can be found as:
165 is a composite number because it has factors other than 1 and itself. It is not a prime number.
The 8 factors of 165 are 1, 3, 5, 11, 15, 33, 55, and 165. The factor pairs of 165 are 1 x 165, 3 x 55, 5 x 33, and 11 x 15.
The proper factors of 165 are 1, 3, 5, 11, 15, 33, and 55.
The prime factors of 165 are 3, 5, and 11.
Answer: On comparing the two, we can see that 5 is the common prime factor of both 130 and 165.
What is the reason for each step in the solution of the equation? 19=5x−1 drag and drop the reasons into the boxes to correctly complete the table. 19=5x−1 20=5x 4=x combine like terms division property of equality addition property of equality commutative property given
19 = 5x - 1 Given
19 + 1 = 5x - 1 + 1
20 = 5x Addition Property of Equality
20 : 5 = 5x : 5
4 = x Division Property of Equality
The reason for each step in the solution of the equation are; Addition Property of Equality, Division Property of Equality.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
It is Given
19 = 5x - 1
19 + 1 = 5x - 1 + 1
20 = 5x (Addition Property of Equality)
20 : 5 = 5x : 5
4 = x (Division Property of Equality)
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what is 2757 times 14? Show your work
i hope this helps you
THERE
PERFECTION :P
-hope this helps
Half of a number n is at most 5 units from 14
(Write the absolute value inequality)
Answer: 18≤n≤38 is absolute value inequality for the problem.
Step-by-step explanation:
Given situation:- Half of a number n is at most 5 units from 14
that means the difference between 14 and half times n is less than 5
[tex]\Rightarrow |14-\frac{1}{2} \times n|\leq 5\\\Rightarrow|2( 14-\frac{1}{2} \times n)|\leq2(5)\\\Rightarrow|2(14)-2(\frac{1}{2} \times n)|\leq2(5)\ \text{(Multiplying 5 on the both sides)}\\\Rightarrow|\ 28-n|\leq10\\\Rightarrow\ 28-n\leq10\ or\ -(28-n)\leq10\\\Rightarrow\ n=28-10=18\ or\ n=28+10=38\\(i.e.)\ 18\leq\ n\leq \ 38[/tex]
⇒18≤n≤38 is absolute value inequality for the problem.
Write the following equation in slope intercept form: -2x + y = 9
A.) Y = -2x + 9
B.) Y = -2x – 9
C.) Y = 2x + 9
D.) Y = 2x – 9
Slope intercept form: y = mx + b
So
-2x + y = 9
Add 2x to both sides
-2x + y + 2x = 9 + 2x
Simplifying
y = 2x + 9
Answer
C.) Y = 2x + 9
answer is C forsure
find the distance between the points (4,-6) and (4,7)
the distance is for it is 0
√(4−4)2+(7−−6)2
√4−4)2+(7+6)2
√0+(13)2
√169
√169≈13
If f(x) is a linear function, what is the value of n?
m = (-10 + 25)/(-1 + 4) = 15/3 = 5
so
5 = (20 + 10)/(n + 1)
5(n+1) = 30
5n + 5 = 30
5n = 25
n = 5
Answer
n = 5
Answer:
value of n is 5
Third option is correct.
Step-by-step explanation:
Let the equation of the linear function is y = mx + b
From the given table, we have two points (-4,-25) and (-1,-10)
The slope of the line containing these two points is
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-10+25}{-1+4}\\\\m=\frac{15}{3}\\\\m=5[/tex]
Now, put m = 5, x = -4 and y = -25 in the equation y = mx+b
[tex]-25=5\cdot(-4)+b\\\\-25=-20+b\\\\b = -5[/tex]
Therefore, equation of linear function is [tex]y=5x-5[/tex]
Now, put x = n and y =20
[tex]20=5n-5\\\\5n=25\\\\n=5[/tex]
Therefore, the value of n is 5
James is earning money to buy a $100 bicycle. For each dollar James earns, his mother has agreed to give him $1. So far, he has earned $14 mowing the lawns and $7 washing cars. How much more money must James earn in order to buy the bicycle?
he has to earn $78 more.
Answer:
he has to try to earn $78 to get his bicycle that he wants
every month ben spends $350 on groceries, $150 on gas, and $250 on clothes. write abd evaluate ab expression to predict how much money he will spend on these items over the next 12 months
Maria finds a local gym that advertises 71 training sessions for $811. Find the cost of 116 training sessions
Please give the for mula used
The cost of 116 training sessions is: $1325.01
This is because you can divide 811 by 71 to get the unit rate, then multiply it by 115 to get your approximate answer listed above.
Write to explain how you can break apart 16 x 34 into four simpler multiplication problems
Think of the tens and the units separately:
16 x 34
= (10 + 6)(30 + 4)
Then we can distribute and get:
10(30 + 4) + 6(30 + 4)
And then further to get:
(10 x 30) + (10 x 4) + (6 x 30) + (6 x 4)
Each of these multiplications is easy enough to do in your head:
300 + 40 + 180 + 24
Add up the results:
300
180
16×34 can be rewritten as (10+6)×(30+4) for simpler multiplication.
The given numerical expression is 16×34.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Here, 16×34 can be written as
Method 1:
(10+6)×(30+4)
Using distributive property we get
10(30+4)+6(30+4)
= 300+40+180+24
= 544
Method 2:
16×(30+4)
Method 3:
(10+6)×34
Therefore, 16×34 can be rewritten as (10+6)×(30+4) for simpler multiplication.
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Please help!
Match the graph with its equation.
6x + 6y = 12
6x + 2y = 12
–6x – 2y = 12
–6x + 2y = 12
Answer:
Answer 3 (-6x-2y=12)
Step-by-step explanation: Turn to slope form to check
First- Add the 6x from both sides
-2y=6x+12
Second- Divide by two on both sides
y= -3x-6
Answer:
C.[tex]-6x-2y=12[/tex]
Step-by-step explanation:
We are given that a graph.
We have to find the equation of given graph.
The line passes through the point (-2,0) and (0,-6).
Slope:m[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]
By using the formula
[tex]m=\frac{-6-0}{0+2}=-3[/tex]
Slope-intercept form:[tex]y=mx+C[/tex]
Where m=Slope of line
C=y-intercept
y-intercept: It is that value of y for which x=0
We have y- intercept=-6
Using the formula
Equation of line
[tex]y=-3x-6[/tex]
[tex]3x+y=-6[/tex]
Multiply by -2 on both sides then we get
[tex]-6x-2y=12[/tex]
Write an equation that illustrates the identity property of multiplication and the zero property of multiplication
5*0 = 0*5 I think this works for both. Take this answer with a grain of salt and double check it, just in case.
Paloma decided to divide 1,292 by 31 using partial quotients. She uses 30 as her first partial quotient. Which are the partial quotients Paloma should show in her work?
A) 30,10
B) 30,10,1
C) 10,10,10,1
D) 10,10,10,10,1
Answer:Partial quotients Paloma should show in her work are B) 30,10,1.
Step-by-step explanation:
Given : Paloma dividing 1292 (dividend) by 31 (divisor) using partial quotients.
so the easy multiples of 31 are as 31×2=62 ,31×3=93,31×10=310....so on
if she uses 30 as her first partial quotient then 31×30=930, so after subtracting 930 from 1292 we get 362 as new dividend then 31×10=310 is the easiest multiple of 31 so that 362-310=52 as new dividend ,then 31×1=31 subtracting this from 52 gives 52-31=21 which is the remainder.
Therefore, Partial quotients Paloma should show in her work are 30,10 and 1.
25. Find three consecutive integers such that twice the smaller is 12 more than the largest.
The smallest would be 14 and then 15 and then 16.
Use the equation 2n=12+n+2. solve for n. Since it's consecutive, the equation would be n+n+1+n+2
Which expression is equivalent to the distance between -13 and -4 on a number line select all that apply
For this case we have:
We locate the given points on the negative axis of the x coordinate
We shadow the region between both points
The shaded region will be the difference or distance between both numbers.
Algebraically, the difference is given by:
[tex]| -13 - (- 4) | = | -9 | = 9\\[/tex]
Answer:
[tex]Distance = 9\\[/tex]
See attached image
The distance between -13 and -4 on a number line is the absolute value of their difference, which is 9 units.
Explanation:The distance between two points on a number line is the absolute difference between those points. In this case, the points are -13 and -4. To calculate the distance, we subtract these values in such a way that we get a positive result.
So, we subtract -4 from -13, which is the same as adding 4 to 13, i.e.,: -13 - (-4) = -13 + 4 = -9.
However, distance cannot be negative, so we take the absolute value of -9, which is 9. Therefore, the distance between -13 and -4 on the number line is 9 units. None of the options provided seem to correctly represent this result.
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Last night game at the arena in Cleveland was 251 seats short of being filled to capacity. how many people attended the game?
1. The attendance at the Cleveland arena was 20,311 people.
2. The largest arena can seat 1,800 more people than the smallest arena.
3. The estimated seating capacity difference between the Atlanta and Los Angeles arenas is 1,300.
4. The total attendance for the sold-out games is 37,124 people.
5. The combined capacity of the Cleveland and Boston arenas is 6,186 people greater than the biggest college basketball arena.
1. **Last night's game in Cleveland:**
The attendance at the Cleveland arena last night was 20,562 - 251 = 20,311 people. This is because the arena was 251 seats short of being filled to its full capacity.
2. **Difference in seating capacities:**
The difference in seating capacities between the largest (Los Angeles) and smallest (New Orleans) arenas is calculated by subtracting the smaller capacity from the larger one: 20,300 - 18,500 = 1,800. Therefore, the largest arena can accommodate 1,800 more people than the smallest arena.
3. **Estimate of seating capacity difference (Atlanta and Los Angeles):**
The estimated difference in seating capacities between the Atlanta and Los Angeles arenas can be obtained by rounding the capacities to the nearest hundred, making the calculation easier. The rounded capacities are 20,300 and 19,000, resulting in an estimated difference of 1,300.
4. **Attendance at sold-out games:**
The total attendance for the sold-out games in Boston and New Orleans is the sum of their individual capacities: 18,624 + 18,500 = 37,124 people.
5. **Combined capacity of Cleveland and Boston vs. biggest college arena:**
The combined capacity of the Cleveland and Boston arenas is 20,562 + 18,624 = 39,186 people. Since this is greater than the capacity of the biggest college basketball arena (33,000), the combined capacity of the Cleveland and Boston arenas is 6,186 people greater.
In summary, the attendance at the Cleveland arena last night was 20,311 people. The largest arena can seat 1,800 more people than the smallest arena. The estimated seating capacity difference between the Atlanta and Los Angeles arenas is 1,300. The total attendance for the sold-out games in Boston and New Orleans is 37,124 people. The combined capacity of the Cleveland and Boston arenas is 6,186 people greater than the biggest college basketball arena.
The question probable maybe:
Use the table for 1-5.
Basketball Arena Seating Capacities
____________________________
City Capacity
____________________________
Cleveland 20562
Boston 18624
Atlanta 20300
New Orleans 18500
Los Angeles 18997
_____________________________
1. Last night game at the arena in Cleveland was 251 seats short of being filled to capacity. how many people attended the game?
2. How many more people can be seated in the largest arena than can be seated in the smallest arena?
3. Estimate the difference in the seating capacities of the Atlanta and Los Angeles arenas. Explain how you made your estimate.
4. There are two sold-out basketball games tonight. One is at the arena in Boston, and the other is at the arena in New Orleans. How many people are attending the two games?
5. Write Math > The biggest college basketball arena seats 33,000. Is the combined capacity of the Cleveland and Boston arenas greater than or less than the capacity of the biggest college arena? How much greater or less? Explain.
HELP ME PLEASE IM IN A PICKEL
The solution is (x,y)=(2,5)
(you can check by plugging 2 for x and 5 for y and both equations will work out)
20 points please and thank you
Look at the picture.
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have:
[tex]b=-4[/tex]
[tex]m=\dfrac{\Delta y}{\Delta x}\to m=\dfrac{+1}{+1}=1[/tex]
Substitute:
[tex]y=1x-4=x-4[/tex]
Make sure it's fully reduced.
2 - x = 5/8
Isolate the x. Note the equal sign. What you do to one side, you do to the other.
First, subtract 2 from both sides
2 (-2) - x = (5/8) - 2
-x = 5/8 - 2
Make sure they have the same denominator. Remember that what you multiply to the denominator, you multiply the numerator:
-x = 5/8 - 16/8
-x = - 11/8
Isolate the x. Divide -1 from both sides
(-x)/-1 = (-11/8)/-1
x = 11/8
11/8 is your answer for x
~Rise Above the Ordinary
The sum of 3 consecutive odd numbers is 69
69 divided by 3 is 23
so it would be 21, 23, 25
1.) 4u - 2 = -6u +28
2.) -2 (p - 1) = 15
3.) 0.3 (r + 2) = -0.1 (-2r - 4)
4.) Charis and Lisa went shopping and spent a total of $25.50. Lisa spent $13.50 more than what Chris spent. How much did Lisa spend?
Maddie has 2 times as many stickers on her notebook as meg together they have 15 stickers how many stickers are on Maddie’s notebook
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6300 to rent trucks, and it will cost an additional $225 for each ton of sugar transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
C=225S+6300
This is because the total cost would be equal to all of the stuff combined. Since it takes 225 to transport 1 ton of sugar, it would be multiplied with s
Miles has 24 baseball cards he wants to display the cards in even rows and columns.draw two different arrays to show how miles could display his cards.label your drawings with a multiplication equation
Answer:
Total number of cards which have to arrange in even rows and Columns=24
So, Even arrays are
=6 rows and 4 columns
=4 rows and 6 columns
=12 rows and 2 columns
=2 rows and 12 columns
The two different arrays to show how miles could display his cards will be (2, 12) and (4, 6).
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Miles has 24 baseball cards he wants to display the cards in even rows and columns.
The factor of the number 24 will be
24 = 2 x 2 x 2 x 3
Then the number of the combination will be given below.
Number of combination = 4 {(2, 12), (12, 2), (6, 4), (4, 6)}
The two different arrays to show how miles could display his cards will be (2, 12) and (4, 6).
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Question: Explain why the researchers used data from ten trails and averaged them, rather than data from a single trail. PLEASE ANSWER THIS !!!!
Answer : Because in all experiments there are several factors that can affect the result. Repeating the experiment several times can vary the factors and compensate the measurement errors. Therefore, the average of the results is calculated to find the result that is closest to the set of all the results, being more reliable than a single result of an individual experiment.
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[tex]\textit{\textbf{Spymore}}[/tex]
which is the correct simplified version of the expression -7(2x-3)
A.-14x+21
B.-14x-21
C.-5x-10
D.-14x-10
A. -14x+21
because -7 times 2x is -14x and -7 times -3 is 21
Calculate the perimeter of the figure
Perimeter is distance all around the side of the figure, so you would do:
8 + 7 + 19 + 3 + y + x
Plug in y and x that you solved before: 8 + 7 + 19 + 3 + 11 + 4
Add them!: 52
The perimeter is 52 meters.
:)
Mario and Luigi are brothers.marios age is three times the difference between Luigis age and the number 9.if Mario is 18 years old,how old is Luigi.show your work.
To solve this, write an equation to model the situation and solve the equation.
The equation can be: [tex]3(x-9)=27[/tex]
Then solve the equation.
[tex]3x-27=18[/tex]
[tex]3x=45[/tex]
[tex]x=15[/tex]
Luigi is 15 years old.
we determine that Luigi is 15 years old.
The question involves solving for Luigi's age based on the given relationship between Mario and Luigi's ages. We are told that Mario's age is three times the difference between Luigi's age and the number 9, and that Mario is currently 18 years old. We need to create an equation and solve for Luigi's age.
Let's let L represent Luigi's age. The problem statement tells us:
Mario's age = 3 * (L - 9)
Given that Mario's age is 18, we substitute this value into the equation:
18 = 3 * (L - 9)
To find L, we start by dividing both sides of the equation by 3:
6 = L - 9
Then, we add 9 to both sides to solve for L:
15 = L
Therefore, Luigi is 15 years old.
twice c is at least 19
2c ≥ 19
We can treat this inequality like a standard algebraic equation.
Divide both sides by 2.
c ≥ 9.5
Subtract.
−7.2+4.5
Enter your answer, as a decimal, in the box.
the answer is -2.7
-7.2+4.5=-2.7
go from -7.2 to the positive side 4.5 numbers