find the next four terms in a number pattern that follows the rule. start with the number 10. 10, 16, 22, 28, 34 Is 16, 22, 28, and 34 the answer?
Answers
Answer:
40, 46, 52, 58
Step-by-step explanation:
To find the next four terms, we have to find the pattern of the given terms.
We start at 10 and then go to 16.
Let's try adding 6 to each term and see what we get.
10 + 6 = 16
16 + 6 = 22
22 + 6 = 28
28 + 6 = 34
Looks like it matches the given terms.
To find the next four terms, we just have to keep adding 6 to each term.
34 + 6 = 40
40 + 6 = 46
46 + 6 = 52
52 + 6 = 58
Related Questions
Can someone please check if this is right or not, and if it’s wrong, could you please explain why it’s wrong?
Answers
The division of the value 3/8 given the remainder as 0 and the quotient as 0.375. Hence, the answer is correct.
What is long division?Long division uses the conventional process to divide two integers by iteratively adding and subtracting. When the divisor is a multi-digit number, it is used in mathematics to determine the quotient and remainder of a division problem.
As part of the long division algorithm, the dividend is divided by the first digit of the divisor, the quotient is multiplied by the divisor, the result is subtracted from the dividend, and the procedure is then repeated with the next digit of the dividend.
The division of 3/8 can be given as follows:
0.375 | 3.000
2.5
---
0.50
4
---
20
16
---
40
40
---
0
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PLEASE HELP!!!!!!!!!!!!!
Answers
Answer:
A. 189 - 9 = 35v
Step-by-step explanation:
It is the only answer where the price is on one side and price per unit is on the other with the variable.
The correct equation to find the number of video games purchased is A: 186-9 = 35v.
What is order of operation in equation?A set of guidelines known as the Order of Operations is used to specify the order in which mathematical operations are carried out in an expression. The following is the order: brackets or brackets, roots or exponents. Division or multiplication (done from left to right)
Doing either addition or subtraction from left to right
It is crucial to follow the Order of Operations since it guarantees that everyone will arrive at the same conclusion when solving a given mathematical problem. Without the order, it might be unclear which action should be taken first, which could provide conflicting results. A fundamental idea in mathematics, the Order of Operations is applied to practically all mathematical problems.
Given that, video game costs $35 with $9 shipping fee.
Thus, the for v number of vide games we have:
186 = 35v + 9
Rearranging the equation we have:
186-9 = 35v
Hence, the correct equation to find the number of video games purchased is A: 186-9 = 35v.
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Affirmative action commitments by many organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that at least one woman is selected
Answers
Answer:
2/3
Step-by-step explanation:
We solve with combination formula
C(n, r) = nCr = n!/r!( n - r)!
The selection will happen between four women and six men
Total number of people = Total number of possibly outcomes = Four women + six men
= 10 people
This can happen in two ways
a) 2 women
b) 1 man and 1 woman
The probability that at least one woman is selected =
4C2 ×(6C1 + 4C1)÷ 2 ways / 10C2
[6 × (6+ 4)] ÷ 2 / 45
= (6 × 10) ÷ 2/45
= 30/45
= 2/3
Find the converse and determine if it is true or false.
Statement : obtuse angles are not right angles.
Answers
The converse statement is 'If an angle is not a right angles, then it is obtuse' True. Option A
What is a converse statement?The converse of a conditional statement is formed when the hypothesis and conclusion are both reversed.
In this case, the hypothesis is taken as the conclusion and the conclusion made the hypothesis.
The conditional statement is written as: a → b
The converse is written as b → a
Where;
a is the hypothesisb is the conclusionGiven that:
Original statement :Obtuse angles are not right angles
The converse statement : If an angle is not a right angles, then it is obtuse
We can see that the converse statement is true because an obtuse angle is an angle greater than 90 degrees.
Hence, the converse statement is true
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Find the y intercept and a x intercept of the following linear equation. 3x + 7y =-21
Answers
The x-intercept of 3x + 7y =-21 is: -7.
The y-intercept of 3x + 7y =-21 is: -3.
What is the Y-intercept and X-intercept of a Linear Equation?Given the linear equation, 3x + 7y = -21, to find the x-intercept, substitute y = 0 to find the value of x, while to find the y-intercept, substitute x = 0 and find the value of y.
Y-intercept of the equation: Plug x = 0 into 3x + 7y = -21:
3(0) + 7y = -21
0 + 7y = -21
7y = -21
Divide both sides by 7
7y/7 = -21/7
y = -3
Y-intercept is: -3.
X-intercept of the equation: Plug y = 0 into 3x + 7y = -21:
3x + 7(0) = -21
3x = -21
3x/3 = -21/3
x = -7
X-intercept is: -7.
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PLS HELP ASAP!tysm if u help me!<3
Answers
Answer:
Step-by-step explanation:
It is a matter of just substituting the values into the given equation.
4m^2-2n+5
If m=5 and n=9 then it becomes
4(5^2)-2(9)+5
4(25)-18+5
100-18+5
87
NO LINKS!! URGENT HELP PLEASE!!!
11. Write the equation for the graph
Answers
This is the same as writing y = sqrt(4(x+5)) - 1
===============================================
Explanation:
The given graph appears to be a square root function.
The marked points on the curve are:
(-4,1)(-1,3)(4,5)Reflect those points over the line y = x. This will have us swap the x and y coordinates.
(-4,1) becomes (1,-4)(-1,3) becomes (3,-1)(4,5) becomes (5,4)Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.
----------
Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).
Plug the coordinates of each point into the template y = ax^2+bx+c.
For instance, plug in x = 1 and y = -4 to get...
y = ax^2+bx+c
-4 = a*1^2+b*1+c
-4 = a+b+c
Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c
Repeat for (5,4) and you should get 4 = 25a+5b+c
We have this system of equations
-4 = a+b+c-1 = 9a+3b+c4 = 25a+5b+cUse substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.
In other words
a = 1/4, b = 1/2, c = -19/4
We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4
----------
Next we complete the square
y = (1/4)x^2+(1/2)x-19/4
y = (1/4)( x^2+2x )-19/4
y = (1/4)( x^2+2x+0 )-19/4
y = (1/4)( x^2+2x+1-1 )-19/4
y = (1/4)( (x^2+2x+1)-1 )-19/4
y = (1/4)( (x+1)^2-1 )-19/4
y = (1/4)(x+1)^2- 1/4 - 19/4
y = (1/4)(x+1)^2 + (-1-19)/4
y = (1/4)(x+1)^2 - 20/4
y = (1/4)(x+1)^2 - 5
The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.
----------
The last batch of steps is to find the inverse.
Swap x and y. Then solve for y.
y = (1/4)(x+1)^2 - 5
x = (1/4)(y+1)^2 - 5
x+5 = (1/4)(y+1)^2
(1/4)(y+1)^2 = x+5
(y+1)^2 = 4(x+5)
y+1 = sqrt(4(x+5))
y = sqrt(4(x+5)) - 1
I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.
You can also use a tool like GeoGebra to verify the answer.
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
Answers
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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Oak Creek Company is preparing its master budget for 2020. Relevant data pertaining to its sales, production, and direct materials budget are as follows.
Sales: Sales for the year are expected to total 1 million units. Quarterly sales are 20%, 25%, 25% and 30% respectively. The price is expected to be at $40 per unit for the first three quarters and $45 per unit beginning in the fourth quarter. Sales in the first quarter of 2021 are expected to be at 10% higher than the budgeted sales for the first quarter of 2020.
Production: Management desires to maintain the ending finishing goods inventories at 20% of the next quarter’s budgeted sales volume.
Direct materials: Each unit requires 2kg of raw materials at a cost of $10 per kilogram, Management desires to maintain raw materials inventories at 10% of the next quarter’s production requirement for the first quarter of 2020 are 500,000kg.
Prepare the sales, production, and direct materials budgets by quarters for 2020.
Answers
Q1:
Sales = 1,000,000 x 20% = 200,000 units
Revenue = 200,000 x $40 = $8,000,000
Q2:
Sales = 1,000,000 x 25% = 250,000 units
Revenue = 250,000 x $40 = $10,000,000
Q3:
Sales = 1,000,000 x 25% = 250,000 units
Revenue = 250,000 x $40 = $10,000,000
Q4:
Sales = 1,000,000 x 30% = 300,000 units
Revenue = (250,000 x $40) + (50,000 x $45) = $10,750,000
Total Revenue = $38,750,000
Production Budget:
Q1:
Production = 200,000 / (1 - 0.2) = 250,000 units
Raw Materials Required = 250,000 x 2 kg = 500,000 kg
Q2:
Production = 250,000 / (1 - 0.2) = 312,500 units
Raw Materials Required = 312,500 x 2 kg = 625,000 kg
Q3:
Production = 250,000 / (1 - 0.2) = 312,500 units
Raw Materials Required = 312,500 x 2 kg = 625,000 kg
Q4:
Production = 300,000 / (1 - 0.2) = 375,000 units
Raw Materials Required = 375,000 x 2 kg = 750,000 kg
Raw Materials Budget:
Q1:
Raw Materials Required = 500,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 562,500 kg
Less: Beginning inventory = 10% x 500,000 kg = 50,000 kg
Raw Materials to be Purchased = 512,500 kg x $10/kg = $5,125,000
Q2:
Raw Materials Required = 625,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 687,500 kg
Less: Beginning inventory = 10% x 562,500 kg = 56,250 kg
Raw Materials to be Purchased = 631,250 kg x $10/kg = $6,312,500
Q3:
Raw Materials Required = 625,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 687,500 kg
Less: Beginning inventory = 10% x 687,500 kg = 68,750 kg
Raw Materials to be Purchased = 618,750 kg x $10/kg = $6,187,500
Q4:
Raw Materials Required = 750,000 kg
Add: Desired ending inventory = 10% x 750,000 kg = 75,000 kg
Total Raw Materials Required = 825,000 kg
Less: Beginning inventory = 10% x 687,500 kg = 68,750 kg
Raw Materials to be Purchased = 756,250 kg x $10/kg = $7,562,500
Therefore, the sales, production, and direct materials budgets by quarters for 2020 are as follows:
Sales Budget:
Q1: $8,000,000
Q2: $10,000,000
Q3: $10,000,000
Q4: $10,750,000
Production Budget:
Q1: 250,000 units
Q2: 312,500 units
Q3: 312,500 units
Q4: 375,000 units
Raw Materials Budget:
Q1: $5,125,000
Q2: $6,312,500
Q3: $6,187,500
Q4: $7,562,500
Which ordered pair lies on the graph of the line 2x−5y=12 ?
Answers
Answer:
(0,12/5)
Explanation
what are the solutions to this system of equations 2x y 3 y 3 2 x 2 2
Answers
The solutions to the system of equations 2x + y = 3 and y - 3 = 2x - 2 are (1,5) and (-2,-1).
What formulae are used?A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Let's read this article to learn more about math equations.
What is an equation example?The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 has the two expressions 3x + 5 and 14 that are separated by the 'equal' sign.
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Find the distance between the parallel lines y=x-5 and y=x+6
Answers
Answer:
11
Step-by-step explanation:
i don't know
x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution
Answers
here x+3y=13
x=13-3y.....1st equation
-3x+2y=27......2nd euation
now putting the value of x from equation 1st in 2nd we will get
-3(13-3y)+2y=27
-49+9y+2y=27
11y=27+49
y=76÷11
y=6.9
now again putting the value of y in equation 1st we get
x=13-3×6.9
x=13-20.7
x=7.7
Write an equation in slope-intercept form that is parallel to y=2x-5 and
passes through (3,4) *
Answers
Step-by-step explanation:
An equation in slope intercept form that is parallel to y=2x-5 is y=2x-2
A Boy Scout has 3 meters of rope. He cuts the rope into cords 3/5 m long. Rewrite the problem as a multiplication question.
Answers
Answer:
sorry cant help
Step-by-step explanation:
what is 9v+–3v+–4v–2+1 simplified
Answers
Answer:
2v-1
Step-by-step explanation:
9v+-3v+-4v-2+1
=9v-3v-4v-1
=6v-4v-1
=2v-1
An isosceles triangle has an angle that measures 136°. What measures are possible for the other two angles? Choose all that apply.
Answers
Answer:
The other two angles are 22° , 22°
Step-by-step explanation:
To find the other angles, we can use angle sum property of triangle.
The given angle 136° cannot be base angles. Let the base angles be x.
x + x + 136 = 180°
2x + 136 = 180°
Subtract 136 from both sides,
2x = 180 - 136
2x = 44°
Divide both sides by 2,
x = 44 ÷ 2
\(\sf \boxed{x = 22^\circ}\)
Answer:42
Step-by-step explanation:
just add3) Emma has a loyalty card good for a 10% discount at her local pharmacy.
What would her total in dollars and cents be, after the discount and
before tax, if the total cost of all the items she wants to buy is $32.40?
Answers
Answer:
The price of the items before the discount was $36.
Step-by-step explanation:
Since Emma has a loyalty card good for a 10% discount at her local pharmacy, to determine what her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $ 32.40, the following calculation must be made:
100 - 10 = 90
90 = 32.40
100 = X
100 x 32.40 / 90 = X
3240/90 = X
36 = X
Therefore, the price of the items before the discount was $ 36.
Paul is selling $2 raffle tickets for his baseball team. He needs to sell at
least $230 worth of tickets to earn a team jacket. If he has already sold
$50 worth of tickets, how many more raffle tickets, x, does Paul need to
sell to earn a team jacket?
a) x => 90
b) x <= 90
c) x => 180
d) x <= 180
helpppp
Answers
Answer:
answer is 90
Step-by-step explanation:
230 - 50= 180 divided by 2 =90
Question 7
Two sides of a triangle are given as 2 and 5. Which answer below could be the
third side?
3
10
7
5
Answers
You can use the Law Of Sins:
a / sin A
b / sin B
c / sin C
(hope this helps, really sorry if i doesnt :/ )
Answer: 10
Step-by-step explanation:
Very confusing not sure
Answers
Answer:
This describes a translation.
1. The dimensions of Mr. Bell's living room are 10 feet x 8 feet x 2 feet, and the dimensions of his kitchen are 20 feet x 2 feet x 5 feet. What is the total volume, in cubic feet, of the two rooms?
2.
Megan has two books that each have dimensions of 12 inches x 6 inches x 2 inches. What is the volume, in cubic inches, of Megan's two books?
Answers
Answer:
more detail
Step-by-step explanation:
If a = 5 units , b = 8 C = 4 Units, and d = 3 units what is the volume of the composite figure?
Answers
Answer:
\(V = 208\,u^{3}\) (Option C)
Step-by-step explanation:
The volume of the composite figure is:
\(V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)\)
\(V = 208\,u^{3}\) (Option C)
If y = 3x+5 when x= -10 what is the value of y
Answers
Answer:
\(y = 3x + 5 \\ y = ( 3 \times - 10 )+ 5 \\ y = - 30 + 5 \\ y = - 25\)
Answer:
\(y=-25\)
Step-by-step explanation:
Substitute x = -10 into the equation:
\(y=3(-10) + 5\)
Multiply:
\(y=-30+5\)
Add:
\(y=-25\)
Tell which property is represented.
3(4 + 7) = (3 x 4) + (3 x 7)
Answers
What is the perimeter of the parallelogram?
Answers
Answer:
18 unitsStep-by-step explanation:
Perimeter = add up all side lengths
= 5 + 5 + 4 + 4
= 18 units
see image below
Two angles in a triangle are have the same measurement. The third angle is 12 degrees less than
the first angle. What are the measurements of angle 1, 2 and 3? (hint: you will need to know
how many degrees are in an triangle)
Answers
a + a + b = 180
2a + b = 180
Next, b is 12 degrees less than a so:
a - 12 = b
2a + a - 12 = 180
3a - 12 = 180
Add 12 to both sides
3a = 192
Find a:
a = 192 / 3
a = 64
This means angle 1 and angle 2 are equal to 64 degrees and angle 3 is 52 degrees
To check:
64 + 64 + 52 = 180 degrees
Please show me the steps to solve this problem
Answers
This is a pre-algebra problem. I'll go through the steps with you. If you don't get it, don't be afraid to ask!
Step One - Cross Multiply
These are fractions, but that doesn't mean you have to add them. Fractions are just the numerator divided by the denominator. So to 'remove' the 9, multiply both sides by 9. To 'remove' the 6, multiply both sides by 6. (We multiply both sides of the equation by the same number because we need to make each side the same). Note that when you multiply both sides by 9 or 6, you have to multiply the whole part.
(2x+1)×6 = (1-1)×9
Distribute.
12x+6 = 9-9
Step Two - Solve the Equation
So we are left with this equation after cross multiplying:
12x+6 = 9-9
First, we can start by subtracting 9 from 9, because those are the same types of numbers.
12x+6 = 0
Now, we have to 'remove' the 6. We can do that by subtracting each side by 6.
(12x+6)-6 = 0-6
12x = -6
Now we are left this this.
We need to 'remove' the 12 now, so we can isolate the x. Since 12 is multiplied to x, we divide each side by 12.
(12x)÷12 = -6÷12
We get x = -1/2
x = -1/2 or -0.5
Hope this helped!
Determine which integer in the solution set will make the equation true.
3s − 12 = −9
S: {−1, 0, 1, 2}
A: −1
B: 0
C: 1
D: 2
Answers
Answer:
c) 1
Step-by-step explanation:
Solving for the value of s,
→ 3s - 12 = -9
→ 3s = -9 + 12
→ s = 3/3
→ [ s = 1 ]
Thus, option (c) is correct.
The value of 8 is between which two integers?
2 and 3
3 and 4
07 and 9
49 and 81
Answers
Answer:
2 and 3
Step-by-step explanation:
The square root of 8 is 2.82842712475