Answer:
1 : 3.
Step-by-step explanation:
15 : 45
Divide both numbers by 15 , we get:
1 : 3.
True or false When factoring a trinomial you multiply the a and C factor
Please answer correctly will mark brainliest
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]
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
learn more about ways here: https://brainly.com/question/18057835
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
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
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]
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
ayyyyyyyyyyyyyyyy i need some help lease
Answer:
.95
Step-by-step explanation:
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 :)
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 ~
What is 5 + 5 + 9 + 3 - 10 x 4 - 8 + 9 - 7 - 1 + 9 x 6
Answer:
29
Step-by-step explanation:
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.
a wool suit discounted by 30% for a clearance sale, has a price tag of $199. what was the suit's original price
Answer:
$284.29Step-by-step explanation:
Let the original price be x
The discounted price for a clearance sale = 30% of x
If the price tag after discounting = $199.
Using the relationship to find the original price x
Original price - discounted price = Current price tag after discounting
x - 0.3x = 199
0.7x = 199
Divide both sides by 0.7
0.7x/0.7 = 199/0.7
x = $284.29
Hence the suit's original price is approximately $284.29
which equations represents the line that pases through points (1,-5) and (3, -17)?
Answer:
y= -6x +1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.
In order to find the equation of a line, you would need 2 things:
① Gradient (← can be found)
② Coordinate (✓ we have 2 coordinates here)
To find the gradient, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
[tex]m = \frac{ - 5 - ( - 17)}{1 - 3} \\ m = \frac{ - 5 + 17}{ - 2} \\ m = \frac{12}{ - 2} \\ m = - 6[/tex]
Substitute the value of m into the equation:
y= -6x +c
To find the value of c, substitute a pair of coordinates.
When x=1, y= -5,
-5= -6(1) +c
c -6= -5
c= 6 -5
c= 1
Thus, the equation of the line is y= -6x +1.
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.
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.
~
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
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:
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
help please! I will give brainliest thank you!
Answer:
1. 8
2.0.8
3. 1.4
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
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
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
https://brainly.com/question/13393434
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
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
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
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
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 :)