18! is common to each term in the sum:
18! + 19! + 20! = 18! (1 + 19 + 19×20) = 18!×400
The largest prime factor of 18! is of course 17.
Meanwhile,
400 = 16×25 = 2⁴×5²
so the largest prime factor of 18! + 19! + 20! is 17.
solve: y=3x and x+y=20
Answer:
x = 5, y = 15
Step-by-step explanation:
Use substitution to solve the system of equations.
We'll replace y in x + y = 20 with 3x, since y = 3x.
x + 3x = 20
Combine like terms
4x = 20
Divide by 4 on both sides
x = 5
Now to solve for y (don't forget!)
We'll plug x = 5 back into one of the original equations
y = 3(5) = 15
Check first equation:
15 = 3(5)
15 = 15
Check second equation:
5 + 15 = 20
20 = 20
PLEASE HELPP!!
Russell decides to make a tile pattern after the first day his pattern has 8 tiles after the fourth day it has 35 tiles how many tiles was pattern have after the fifth day?
Answer:
44
Step-by-step explanation:
n = pattern number
9n - 1 = number of tiles
Number 5 = 9n - 1
= 5 x 9 - 1
= 45 - 1
= 44
The pattern will have 54 tiles after the fifth day
How to determine how many tiles was pattern have after the fifth dayTo determine the pattern, let's find the difference between the number of tiles on consecutive days:
Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles
Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles
Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles
Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).
Now, let's use this difference to find the number of tiles after the fifth day:
Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles
Number of tiles after the fourth day: 35 tiles
Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles
So, the pattern will have 54 tiles after the fifth day.
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48 tablespoons to cups
Answer:
I'm about to use the lmgtfy card
Answer:
48 us cups = 3 us cups
Plz mrk me brainliest
Which is an equivalent form of the expression 1800(1.2)-t?
Answer:
2160 - t
Step-by-step explanation:
1800(1.2)-t
2160 - t
To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side
Answer:
x = 10
6x - 6 = 54
Step-by-step explanation:
The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).
So our proportion:
63/(6x-6) = 49/42
Cross multiply
63*42 = 49*(6x-6)
2646 = 294x-294
2940 = 294x
x = 10
Double-check:
63/(6*10 - 6) = 49/42
63/(60 - 6) = 49/42
63/54 = 49/42
7/6 = 7/6
6x - 6 = 6(10) - 6 = 60 - 6 = 54
What and why is the total amount 180 is it a triangle? Or something
Answer:
Yes it is
Step-by-step explanation:
when you add up all parts of a triangle they are equal to 180
Answer:
yes
Step-by-step explanation:
the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)
A quantity with an initial value of 850 grows continuously at a rate of 90% per
decade. What is the value of the quantity after 59 years, to the nearest hundredth?
Answer:
5400
Step-by-step explanation:
so 90% of 850 is 765 (0.90x850)
765 is 10 years
so 1 year is 765/10 = 76.5 per year. So 76.5x59 = 4,513.5 add the initial ammount and you got 5,363.5 in the nearest hundredth you get 5400
Answer:
171997.69
Step-by-step explanation:
See photo for explanation
if f (x) = 2x ^2 +5/ (x-2) complete the following statement f(6) =
f(x)=2x^2+5/x-2
[tex]\\ \rm\longmapsto f(6)=\dfrac{2(6)^2+5}{6-2}[/tex]
[tex]\\ \rm\longmapsto \dfrac{2(36)+5}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{72+5}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{77}{4}[/tex]
A tree casts a shadow of 45 feet. If the angle of elevation to the top of the tree is 50º,
how tall is the tree?
Answer:
95
Step-by-step explanation:
add 50,45
Round 799.999 to:
hundredths
and
tens
Answer:
Tens: 800
Hundredths: 800
Step-by-step explanation:
It's all connected.
Answer:
799.999 ≈ 800.00 rounded to hundredths799.999 ≈ 800.0 rounded to tenthsIncluding 8% sales tax, an inn charges $162 per night. Find
the inn's nightly cost before the tax is added.
Answer:
$150
Step-by-step explanation:
x + 0.08x = 162
1.08 x = 162
x = 150
The inn's nightly cost before the tax is added is $150.
Let's denote the inn's nightly cost before tax as "x." We are given that the inn charges $162 per night, including an 8% sales tax. This can be represented as an equation:
Total cost = Nightly cost before tax + Sales tax
$162 = x + 0.08x
Now, we can solve for "x":
$162 = 1.08x
x = $162 / 1.08
x = $150
So, the inn's nightly cost before the tax is added is $150.
We're asked to find the inn's nightly cost before the tax is added. Let's denote this cost as "x."
We are given that the total cost, including the 8% sales tax, is $162 per night. We can set up an equation using this information:
Total cost = Nightly cost before tax + Sales tax
Mathematically, this can be expressed as:
$162 = x + 0.08x
The 0.08x represents the 8% sales tax, which is 8% of the nightly cost before tax.
Now, we can combine the x terms on the right side of the equation:
$162 = 1.08x
To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 1.08:
x = $162 / 1.08
x = $150
So, the inn's nightly cost before the tax is added is $150. This means that if there were no sales tax, the inn would charge $150 per night. The 8% sales tax is then added to this base cost to reach the total of $162.
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when a sum of rupees hundred is divided in the ratio of 2 is to 3 find the share of each part
Answer:
40 and 60
Step-by-step explanation:
Sum of ratio=2+3
sum of ratio=5
Share of part 2=2/5*100
share of part 2=40
Share of part 3=3/5*100
share of part 3=60
Note:if you need to know any question please let me know.
Which of the following numbers is a rational
number but not an integer?
A. -4
B. -3.5
c. -2
24
8
D. 25
Answer:
I think -3.5 is the right answer
Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!
Answer:
The x which is not in the domain of the function is the root of the denominator
6) x+3=0, x=-3 is the x which is not in the domain of the function
7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function
8) x^2-16=0, x=±4 are the x which are not in the domain of the function
Find x if 2 {x}^2- 3 {x} + 1 >0, where {.} denotes the fractional part in [- 1, 1]
Step-by-step explanation:
−1,
2
−1
]∪[0,
2
1
]∪{1}
For f to be defined 2{x}
2
−3{x}+1≥0
({x}−1)(2{x}−1)≥0
⇒{x}∈(−∞,
2
1
)∪[1,∞)
But we know, {x}∈[0,1)
Thus {x}∈[0,
2
1
)→(1)
Also given that x∈[−1,1]
Hence required domain is [−1,−
2
1
]∪[0,
2
1
],∪{1}
Note {−x}=1−{x}
find the measures of the labeled angles
Answer:
4x° = (80 - x)°
Step-by-step explanation:
These angles are known as vertical angles. Vertical angles are equal to one another.
Answer:
64
Step-by-step explanation:
4x=80-x
16×4=64
80-16=
What is at least 2 metaphors in this passage?
Until this day, how well the house had kept its peace. How carefully it had inquired, "Who goes there? What's the password?" and, getting no answer from lonely foxes and whining cats, it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia. It quivered at each sound, the house did. If a sparrow brushed a window, the shade snapped up. The bird, startled, flew off! No, not even a bird must touch the house! The house was an altar with ten thousand attendants, big, small, servicing, attending, in choirs. But the gods had gone away, and the ritual of the religion continued senselessly, uselessly.
Answer:
Step-by-step explanation:
it had shud up its windows and drawn shades in an old maidenly preoccupation with self-protection which bordered on a mechanical paranoia.
Put a like before an old maidenly aunt or woman. That makes it a simile. Take the like out and you have a metaphor.
Do the same thing with like in front of an alter. Take out the like and you have a metaphor.
What a grim and yet wonderful passage.
if your shoe size is out of stock should you size up or down i’m a girl
I need help with this please
Answer:
1.
[tex]( - 2) - 8 \\ = - 10[/tex]
2.
[tex]2 - ( - 6) \\ = 2 + 6 \\ = 8[/tex]
3.
[tex]( - 7) + 1 \\ = - 6[/tex]
4.
[tex]( - 1) - 2 \\ = - 3[/tex]
5.
[tex]( - 4) + 4 \\ = 0[/tex]
6.
[tex]8 + ( - 7) \\ = 1[/tex]
7.
[tex]( - 1) + 6 \\ = 5[/tex]
8.
[tex]( - 2) + ( - 6) \\ = - 2 - 6 \\ = - 8[/tex]
What is the distance between 10 and -4
Answer:
the answer is 14
Step-by-step explanation:
10 pluss the 4 makes 14
Answer:
The distance between 10 and -4 is 14
Step-by-step explanation:
Because 10 plus 4 is 14 so the answer is 14,Hope it help you.
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
one half(k + 5)
one halfk + 5
one half + k + 5
one halfk > 5
f(r)=3.14r2 what is f(7)?
Hi :)
f(r) = 3.14r2
f(7) = 3.14(7)(2)
f(7) = 43.96
The greatest of four consecutive whole numbers, the smallest of which is b
Answer:
38
Step-by-step explanation:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108. Solving for x yields x=34. However, the question asks for the largest number, which is x+4 or 38. Please make sure to answer what the question asks for!
You could have also plugged in the answer choices. If you plugged in 38 as the largest number, then the previous even integer would be 36 and the next previous even integer 34. The sum of 34, 36, and 38 yields 108.
What time does the clock show?
Answer:
12:43
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (1, 1), slope = 6)
through: (-4, -4), slope = 1/4)
through: (4, 5), slope = 7/4)
through: (-4, -5), slope = 0)
through: (5, 1), slope = -2/5
Answer:
through: (-4, -5), slope = 0)
Step-by-step explanation:
gd afternoon
have a lovely day
14.) Is 136 divisible by 5? yes O
Answer:
The answer is no
Step-by-step explanation:
Is because if we divide 136 by 5 is gonna give us 27.2 and we don’t want the decimal. So we can’t divide 136 by 5. Another method is you can you at the last digit in this case is 6, six is not in the table of 5 so always the answer is going to be in decimal. 136[tex]:[/tex]5= 27.2
Which company offers the best deals? Explain the answer.
Answer:
The best deal
Step-by-step explanation:
First of all what company is that?
And what type deal..?
How is the fear of power reflected
in the Articles of Confederation?
(Posted in math bc nobody answers me in history)
Answer: It mentions how they fear the authority government, also I believe u meant "Power of fear"
Step-by-step explanation:
Use suitable identities to find the following products
(x-5) (x-5)
Step-by-step explanation:
[tex](x - 5)(x - 5) \\ {x}^{2} - 5x - 5x + 25 \\ {x}^{2} - 10x + 25[/tex]
I hope it makes sense
:)
recupera los siguientes conceptos: ecuación
Hay dos posibles definiciones:
(Lógica) Proposición Abierta con Equivalencia que contiene Elementos tal que esta sea Verdadera.
(Algebraica) Expresión de Igualdad entre un Conjunto de Variables.
Observación: A nuestro modo de ver el enunciado se halla incompleto y consideramos que la solución está en definir el alcance del verbo "recuperar", el cual para estos efectos definimos como "retomar y describir". Por otra parte, se reescribe el concepto como sigue:
Recupera el concepto de ecuación.
Matemáticamente, podemos sacar dos Definiciones al término Ecuación, las cuales son descritas a continuación:
1) Proposición Abierta con Equivalencia que contiene Elementos tal que esta sea Verdadera.
2) Expresión de Igualdad entre un Conjunto de Variables.
Véase esta pregunta relacionada con Ecuaciones: https://brainly.com/question/21496108