If the pattern below follows the rule "starting with 10, every consecutive line has a number 1 less than the previous line," how many marbles must be in the seventh line?
Answer: B: 4
Step-by-step explanation: just took the test
The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.
What is an Arithmetic Progression?An arithmetic progression (A.P.) is a series where every term is the sum of the previous term and a common difference.
The first term of an arithmetic progression is denoted by a, and its common difference is denoted by d. The n-th term of an arithmetic progression can be found using the formula
n-th term = a + (n-1)d.
How do we solve the given question?We are given a pattern, starting with 10 marbles and every consecutive line has 1 less marble than the previous line. We are asked to find the number of marbles in the 7th line.
This can be seen as an arithmetic progression with the first term a = 10, and the common difference d = -1.
We are asked to find the number of marbles in the 7th line. This can be taken as the 7th term of the given arithmetic progression.
n-th term = a + (n-1)d
or, 7th term = 10 + (7-1)(-1) = 10 + 6(-1) = 10 - 6 = 4.
∴ The seventh line will be having 4 marbles which can be determined by taking the given data as an arithmetic progression with the first term as 1 and the common difference -1. Hence, option B is the right choice.
Learn more about an arithmetic progression at
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What is the system of solutions?
Please help me with this question ASAP Inequalities 9+3/5x>81/5
Answer:
9+3/5x-(81/5)=0
Step-by-step explanation:
WILL GIVE BRAINLIEST! LOOK AT THE IMAGE ATTACHED!
Answer:
x²-√3 x+1/2
Step-by-step explanation:
(√3-1)/2 and (√3+1)/2
the quadratic equation:
x²-(sum of the root)x +product of the roots
x²-((√3-1)/2 + (√3+1)/2)x+((√3-1)/2) )(√3+1)/2)
x²-(2√3/2)x+ (3-1)/4
x²-√3 x+1/2
x²-x√3 +1/2
Solve forx:
- 3x – 9= 2 - 1
Answer:
[tex]x = -\frac{10}{3}[/tex]
Step-by-step explanation:
2 - 1 = 1Plug 1 in: -3x - 9 = 1Add 9 to each side, so it now looks like this: -3x = 10Divide each side by -3 to cancel out the -3 next to x. It should now look like this: x = -10/3I hope this helps!
Answer:
Step-by-step explanation:
19. Roof trusses often use right triangles to make a flimsy 2 x 4 more rigid to hold up the weight of the roof. If a
house is 40 feet wide and the roof is an isosceles triangle with base angles of 30, how far is it from the
bottom edge of the roof to the peak?
(Answer is radical form please!!!)
Answer:
8
Step-by-step explanation:
The equation y = mx + c is satisfied when
x=-1, y = 3, and also when x = 2, y=5
Find the values of m and c.
LAST ONE \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle
Answer:
[tex] m\angle L = 111\degree \\
m\angle M = 69\degree [/tex]
Step-by-step explanation:
Since, angle L and angle M are supplementary.
[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]
Simplify the following expression
Answer:
im pretty sure thats the answer
Find the product of (x + 7)2
Answer:
2x+14
Step-by-step explanation:
Answer:
2x + 14
Step-by-step explanation:
Step 1:
2 × x + 2 × 14
Answer:
2x + 14
Hope This Helps :)
what's -8+(-8)+(-9) and what is a negative number whose absolute value is greater
Which of the following statements best describes the value of the expression 8x – 5, when x = 3? A. The result is not a whole number. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite. help lol
Answer:b
Step-by-step explanation:8 times 3 is 24 minus 5 is 19. prime numbers are 1 times itself so its B and composite numbers are like four 2 times 2 and 4 times 1.
Answer: B
Step-by-step explanation: When you insert the 3 in place of x, the equation is 8(3)-5 which equals 19. Composite means that numbers can be multiplied to get it. For example, the number 12. You can multiply 3 and 4 or 2 and 6 to get it, making it a composite number. For a number to be prime, the only numbers that can be multiplied to get it is 1 and itself. Let's use the number 3 as an example. The only way you can get 3 by multiplying is by multiplying 1 and 3 (1 and itself as said before). Hope this helps!
can someone help me i'm having trouble with this
Answer: it should be D i hope this helped (if it did let me know)
what is 1/5 x 6 ? help ajiwjwkwjwoksjw
Answer:
6/5 or 1.2
Step-by-step explanation:
put them both as fractions
1/5 x 6/1
6/5=1.2
BC = 6x + 6,
AB = 8 +9, and
AC = 141.
Find BC
Answer: 60
Step-by-step explanation:
Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.
8x+9+6x+6=141 [combine like terms]
14x+15=141 [subtract both sides by 15]
14x=126 [divide both sides by 14]
x=9
Now that we have found the value of x, we can plug that into BC.
6(9)+6 [multiply]
54+6 [add]
60
Now, we know the length of BC is 60.
Answer:
60
Step-by-step explanation:
Leah is paid semimonthly. How many fewer paychecks does she
receive in 2 years compared to someone who is paid weekly?
Answer:
Leah has 80 less paychecks than the weekly person.
Step-by-step explanation:
Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.
Solve.
h + 14 = -14
h =
Answer:
h= -28
Step-by-step explanation:
h+14=-14 isolate h by subtracting 14 on both sides
h= -28
Answer:
h=-28
Step-by-step explanation:
k byeeeeeeeeeeeeee:)
Sandy went to Pens R Us during their annual sale. There was a pack of 20 pens for $8.50. On another aisle, Sandy saw a pack of 6 pens for $4.50.Which is the better buy and why?. Find the rate and unit rate
Answer:
20, for 8.50
Step-by-step explanation:
6 + 6 = 12, which is 4.50 + 4.50, which would be about 10, so 20 for 8.50 would be better.
can anyone help me with this?
h = -4.9t^2 + vt
In our problem,
v = 12
t = 2
Let's plug our numbers into the equation.
h = -4.9(2)^2 + (12)(2)
h = -19.6 + 24
h = 4.4 m
hey mm, i’m lost idk what to do •__•
To find the perimeter, we must add together the length of each side.
The tick mark on the lines means they are equal, so that means we have two lines that are equal to 10
26 + 10 + 35 + 5 + 10 + (38 - 10) = 114"
4(b+24)=(12b+8) pls help
Answer:
b=11
Step-by-step explanation:
4(b+24)=(12b+8)
4b+96=12b+8
-4. -4
96=8b+8
-8. -8
88=8b
88÷8=11
YALL I NEED HELP W MY HW. its asking for an example of something thats NOT A FUNCTION. i have no ideas !!! help plsss !!
Answer:
A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
Step-by-step explanation:
X-3.5= -3.1 I'm confused
Answer:
See Below
Step-by-step explanation:
First, isolate x. To do that add 3.5 to each side
x - 3.5 = -3.1
+3.5 +3.5
x= 0.4
Answer:
X = 0.4Step-by-step explanation:
X-3.5= -3.1 add 3.5 each side.
X = 3.5 - 3.1 simplify
X = 0.4 done!
Which of the green triangles is a reflection of the blue triangle? a Triangle D b Triangle B c Triangle C d Triangle A e None
Answer:
Triangle A
Step-by-step explanation:
Answer:
a
a
Step-by-step explanation:
a
Please help me!! Thank you
Answer:
The next fraction in the pattern is 243/324
Step-by-step explanation:
Every number in the pattern is x3 of the previous number
Fine the quotient of 16^2 - 9 / 4x + 3
Answer:
[tex]\frac{1036x-9}{4x}[/tex]
which algebraic rule will produce a translation that is 5units to the right?
Answer:
(x, y) --> ( x+5, y)
Step-by-step explanation:
what is 966×54278 what is the answer
does 4 time 9.99 give me 39.96?
Answer:
Yes
Step-by-step explanation:
Answer:
yes it does
Step-by-step explanation:
3 3
9.99
x 4
--------------
39.9 6
Make an exponential model y(t) with the given properties. Assume that t is the number of periods.
The initial value is 460, and there is a 6% decrease each period.
Answer:
y(t) = 460(0.94)^t
Step-by-step explanation:
Use the basic exponential decay form, Y = a(1 - b)^x, where a is the starting amount/y-int, b is the growth/decay rate, and x is amount of time/periods.
Plug in the values we know:
y(t) = 460(0.94)^t will be the exponential model
The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].
Calculation of an exponential model:Since
The initial value is 460, and there is a 6% decrease each period.
So here we use the basic exponential decay form i.e.
[tex]Y = a(1 - b)^x,[/tex]
here a is the starting amount
y is interest
b is the growth/decay rate,
and x is amount of time/periods.
So,
[tex]y(t) = 460(0.94)^t[/tex]
hence, The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].
Learn more about model here: https://brainly.com/question/24499895