Answer:
65
Step-by-step explanation:
100, 50, 80, 40, 70, 35, 65.
|____|__|___|___|__|__|
÷2. +30. ÷2. +30 ÷2. +30
A pattern is a recurring arrangement of numbers, forms, colors, and so on. The next number in the given pattern will be 65.
What is a pattern?In mathematics, a pattern is a recurring arrangement of numbers, forms, colors, and so on. The Pattern may be applied to any form of event or object. A pattern is defined as a group of integers that are connected to each other in a specified way.
If the given pattern is observed closely then it can be observed that the second number is decreased by half the previous one, while the next number is formed by adding 30, therefore,
The First Number = 100The second number, half of the previous = 50For the third number, add 30 = 80The fourth number, half of the previous = 40For the fifth number, add 30 = 70The sixth number, half of the previous = 35For the seventh number, add 30 = 65Hence, the next number in the given pattern will be 65.
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solve for x = 2 ÷ 12⁻¹
Answer:
x = 24
Step-by-step explanation:
x = 2 ÷ 12⁻¹
x = 2 * 12
x = 24
Answer:
x = 24
Step-by-step explanation:
The applicable rule of exponents is ...
1/a^-b = a^b
__
The problem simplifies to ...
x = 2 ÷ 12^-1 = 2 · 1/12^-1
x = 2 · 12^1 = 2·12
x = 24
Which represents the solution(s) of the equation x2 = 324? A) x = 18 B) x = ± 18 C) x = − 324 D) x = ± 324
Answer:
A
Step-by-step explanation:
x = 18
19y+36=150 solve the equation
The iPhone6s Plus is on sale for 15% off the onginal price. The sale pnce is $901. What was the ongina price? (Hint: The sale pnce is always a part of the whole)
Answer:
$1315.15
Step-by-step explanation:
x=901 * 0.15
Original price * the discount gives you your original price
How many solutions does this equation have? 4x+(-3x+2)=2x+5-2
Answer:
One Solution
Step-by-step explanation:
So we have the equation:
[tex]4x+(-3x+2)=2x+5-2[/tex]
On both sides, combine like terms:
[tex](4x-3x)+2=2x+(5-2)[/tex]
Simplify:
[tex]x+2=2x+3[/tex]
Subtract x from both sides. The left cancels:
[tex](x+2)-x=(2x+3)-x\\2=x+3[/tex]
Subtract 3 from both sides. The right cancels:
[tex](2)-3=(x+3)-3\\-1=x[/tex]
Flip:
[tex]x=-1[/tex]
So, our equation only has one solution.
And the answer is -1 :)
Burn is to ointment as grief is to
?
O Sorrow
O Adversity
O Consolation
Pity
O Sympathy
Answer:The answer is Sympathy
Step-by-step explanation:
The correct answer is Consolation
If we look at the flow of the first sentence, ointment is the instrument that is used to soothe a burn.
The implication of this is that we also need to find the word that best describes that which can be used to soothe grief.
When a person is grieving, such a person is in need of consolation hence the correct answer is consolation.
For more about the meaning of the word consolation, see
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True or false When factoring a trinomial you multiply the a and C factor
What is the absolute value of -1/4
Answer:
1/4
Step-by-step explanation:
Absolute values are always positive.
The absolute value is |1/4|
To understand this let's first understand the definition of absolute value.
Absolute value - The non-negative value of a number without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
Therefore the absolute value of -1/4 is just 1/4.
Also, remember that to indicate that it's the absolute value you have to add a " | " before and after the number. Like this |1/4|
Hope this helped ~
Use the Distributive Property to complete the equation and find the product. 8 × (300 + 60 + 2) = × 300 + × + × 2 8 × (300 + 60 + 2) = + 480 + 16 8 × (300 + 60 + 2) =
Answer:
2596
Step-by-step explanation:
your question set up is kind of confusing but heres an answer anyway
8(300 + 60 + 2) =
8 • 300 = 2100
8 • 60 = 480
8 • 2 = 16
2100 + 480 + 16 = 2596
The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width, find the dimensions of the garden
Answer:
width=16
length=38
Step-by-step explanation:
perimeter of a rectangle=2(length+width)
108/2=length+ width
54=length+ width
54-width=length
also:
length-6= 2×width
length=2width +6
now you can put the length we found, in the second equation:
54-width=2width+6
54-6=2width+width
48=3width
width=16
now do the exact same thing with one of the equations we created in the beginning.
either this:
54-width=length
or this:
length=2width +6
as the 1st one is simpler, I use that:
54-(16)=length
length=38
9 3/4 divided by 4 1/8 As a simplest form
Answer:
2 4/11
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
26/11
Decimal Form:
2.36
Mixed Number Form:
2 4/11
Answer:
2 4/11
Step-by-step explanation:
Solve 8x − 2(x + 1) = 7x + 8. 6 −6 10 −10
Answer:
x = -10
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
8x - 2(x + 1) = 7x + 8
Step 2: Distribute
8x - 2x - 2 = 7x + 8
Step 3: Combine like terms
6x - 2 = 7x + 8
Step 4: Subtract 6x on both sides
-2 = x + 8
Step 5: Subtract 8 on both sides
-10 = x
Step 6: Rewrite
x = -10
What is 5 + 5 + 9 + 3 - 10 x 4 - 8 + 9 - 7 - 1 + 9 x 6
Answer:
29
Step-by-step explanation:
Simplify 3z + 4z +4 -2 -5z when Z=8
Answer:
18
Step-by-step explanation:
3z + 4z +4 -2 -5z
Combine like terms
3z + 4z -5z +4-2
2z+2
Let z=8
2*8 +2
16+2
18
Answer:
18
Step-by-step explanation:
When z=8
Substitute 8 wherever u see z
3(8)+4(8)+4-2-5(8)
24+32+4-2-40
18
If p = 2 and q = 8, the value of p 3 + ÷ q is _____. 9 5 7 2
Answer:
31.9572
Step-by-step explanation:
substituted the numbers, added them and easily divided them to get the decimal point.
Answer:
The answer should be 9
Step-by-step explanation:
Because it's the answer
1. A bike travels 24 miles in 3 hours. At this rate how many miles will the bike travel in 10 hours? A. 192 B. 80 C. 32 D. 124
Answer: B. 80
Step-by-step explanation: Simply times 24 by 10, then divide it by 3.
Answer:
B. 80 miles
Step-by-step explanation:
A bike travels 24 miles in 3 hours
how many miles does it travel in 10 hours at the same rate/
its a ratio and proportion
24 miles x
------------- = --------------
3 hours 10 hours
cross multiply:
3 x = 24 (10)
3 x = 240
x = 240 miles / hour
3 hours
x = 80 miles
so the answer is B. 80 miles
Ivan also decides to try putting together the “Multiples of 3” set from the numbers sitting around. How can he know if a number is a multiple of 3? (Hint: Build a lot of different multiples of 3. Then look at the sum of the digits of each number.
Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...
The two digit numbers in that list above all have their digits adding to some other multiple of 3
1+2 = 31+5 = 61+8 = 92+1 = 32+4 = 62+7 = 93+0 = 33+3 = 63+6 = 9and so on.
Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.
Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km away from the distress call. They also notice that the angle between the line from ship B to ship A and the line from ship A to the distress call is 28°. What are the two possible distances, to the nearest TENTH of a km, from ship A to the boat?
Answer:
The two possible distance are 147.5km and 64.4km
Step-by-step explanation:
Given
See Attachment for Illustration
Required
Determine the possible distance of ship A from the boat
The distress is represented by X;
So, the question requires we calculate distance AX;
This will be done using cosine formula as follows;
[tex]a^2 = b^2 + x^2 - 2bxCosA[/tex]
In this case;
a = 70;
b = ??
x = 120
A = 28 degrees
Substitute these values in the formula above
[tex]70^2 = b^2 + 120^2 - 2 * b * 120 Cos28[/tex]
[tex]4900 = b^2 + 14400 - 2 * b * 120 * 0.8829[/tex]
[tex]4900 = b^2 + 14400 - 211.9b[/tex]
Subtract 4900 from both sides
[tex]b^2 + 14400 - 4900 - 211.9b = 0[/tex]
[tex]b^2 + 9500 - 211.9b = 0[/tex]
[tex]b^2 - 211.9b + 9500 = 0[/tex]
Solve using quadratic formula
[tex]\frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Substitute 1 for a; -211.9 for b and 9500 for c
[tex]b = \frac{-(211.9)\±\sqrt{(211.9)^2 - 4 * 1 * 9500}}{2 * 1}[/tex]
[tex]b = \frac{211.9\±\sqrt{44901.61 - 38000}}{2}[/tex]
[tex]b = \frac{211.9\±\sqrt{6901.61}}{2}[/tex]
[tex]b = \frac{211.9\±83.08}{2}[/tex]
This can be splitted to
[tex]b = \frac{211.9+83.08}{2}[/tex] or [tex]b = \frac{211.9-83.08}{2}[/tex]
[tex]b = \frac{294.98}{2}[/tex] or [tex]b = \frac{128.82}{2}[/tex]
[tex]b = 147.49[/tex] or [tex]b = 64.41[/tex]
[tex]b = 147.5km\ or\ b = 64.4km[/tex]
Hence, the two possible distance are 147.5km and 64.4km
3.5x + y - 10.2x + 2.3y =
Answer:
-6.7x + 3.3y
Step-by-step explanation:
Step 1: Write out expression
3.5x + y - 10.2x + 2.3y
Step 2: Combine like terms (x)
-6.7x + y + 2.3y
Step 3: Combine like terms(y)
-6.7x + 3.3y
Answer:
3.3 y - 6.7 x
Step-by-step explanation:
Rewriting for clarity.
(2.3y + y) + (3.5x - 10.2x)
(3.3y) + (-6.7x)
3.3y - 6.7x
a. How many ways can the letters of the word ALGORITHM be arranged in a row?
b. How many ways can the letters of the word ALGORITHM be arranged in a row if A and L must remain together (in order) as a unit?
c. How many ways can the letters of the word ALGORITHM be arranged in a row if the letters GOR must remain together (in order) as a unit?
Answer:
a). The number if ways it can be arranged in a row= 362880 ways
b). 40320 ways
c). 5040 ways
Step-by-step explanation:
There are 9 alphabets in the word ALGORITHM
The number if ways it can be arranged in a row= 9!
The number if ways it can be arranged in a row= 9*8*7*6*5*4*3*2*1
The number if ways it can be arranged in a row= 362880 ways
if A and L must remain together (in order) as a unit, then we take it as 8 alphabets
= 8!
= 8*7*6*5*4*3*2*1
= 40320 ways
if the letters GOR must remain together (in order) as a unit, then we have 7 alphabets units remaining
= 7!
= 7*6*5*4*3*2*1
= 5040 ways
a). The number of ways it can be arranged in a row= 362880 ways.
b) The number of ways should be 40320 ways.
c) The number of ways should be 5040 ways.
Calculation of the number of ways:a. Since There are 9 alphabets in the word ALGORITHM
So, The number of ways it can be arranged in a row= 9!
[tex]= 9*8*7*6*5*4*3*2*1[/tex]
= 362880 ways
b. In the case when A and L must remain together (in order) as a unit, then we take it as 8 alphabets
= 8!
[tex]= 8*7*6*5*4*3*2*1[/tex]
= 40320 ways
c. In the case when the letters GOR must remain together (in order) as a unit, so we have 7 alphabets units remaining
= 7!
[tex]= 7*6*5*4*3*2*1[/tex]
= 5040 ways
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What are the coordinates of A'?
Answer:
(6,-2)
Step-by-step explanation:
The picture as shown, A would be flipped across the line which leaves it landing on (6,-2)
Hope this helped you :)
An object is dropped from the top of a tall building. The height S of the object after t seconds is given by the equation s=-16t^2+676. Find how many seconds pass before the object hits the ground. (Hint: The object is on the ground when S = 0.)
Answer:
6.5 seconds
Step-by-step explanation:
When s=0, we have ...
0 = -16t^2 +676
t^2 = 42.25 . . . . . add 16t^2, divide by 16
t = √42.25 = 6.5
6.5 seconds will pass before the object hits the ground.
There are 15 students in the preschool class. For every 7 kids there is 1 teacher. Which ratio shows the number of teachers to the number of students in the class?
Answer:
1:7
Step-by-step explanation:
1 teacher for every 7 kids
Find the value of x in the equation below. 60 = 10 x
Answer:
Just do 60 divided by 10
Step-by-step explanation:
60=10 x 10 times 6 = 60 so x=6
Answer: [tex]x=6[/tex]
Divide both sides by 10
[tex]10x=10=60/10\\x=6[/tex]
ayyyyyyyyyyyyyyyy i need some help lease
Answer:
.95
Step-by-step explanation:
Elise has an account balance of -115 dollars. Which of the following represents a greater amount of debt than-115
dollars?
O dollars
-115 dollars
-105 dollars
-125 dollar
Answer:
-125 dollars.
Step-by-step explanation:
When dealing with negatives, the smaller the numerical number (remember, with the negative attached), the greater the number.
Meaning, -1 will be greater than -100.
In this case, Elise has an account balance of -$115, or that she owes $115.
Look at each answer choice:
$0: In this case, it means that Elise paid the bank back $115, and that she has a zero balance account. She neither has money nor owes any.
-$115: In this case, it means that she owes $115.This means that there was no change to the balance.
-$105: In this case, it means that she owes $105. Since this is $10 less than the amount she previously owed, it means that she paid $10 into the bank account.
-$125: In this case, it means that she owes $125. Since this is $10 more than the amount she previously owed, it means she overdrew once again, or was charged for failing to pay. This is your answer choice.
~
A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, there can be 0 interactions. If there are 2 children, there can be 3 interactions. If there are 3 children, there can be 9 interactions. If there are 4 children, there can be 18 interactions. How many interactions will there be for 9 children?
Answer:
There will be 108 interactions for 9 children.
help please! I will give brainliest thank you!
Answer:
1. 8
2.0.8
3. 1.4
15 + u - 22 = 81 plz hellllpppp
Answer:
u =88
Step-by-step explanation:
[tex]15 + u - 22 = 81[/tex]
Collect like terms and simplify
[tex]u=81+22-15\\\\u = 88[/tex]
In a small town, 68% of the people owned television,72 %owned radio and 12 % owned neither television nor radio .represent the answer on a venn diagram.(ii) what percentage of the population owned television?
Answer:
indelox reader is on PPF 5% HP in in Alok
Step-by-step explanation:
when the 58 words we get a Goriya 50% town population