Adam is three years older than Joe. After three years, Adam’s age will be four years less than two times Joe's age. Considering Adam's present age as x years and Joe’s present age as y years, write a pair of linear equations to model the above situation.
Answer:
2y=2y-4=x
Step-by-step explanation:
By how much is 9966004321 larger than 1 billion
9966004321 is larger than 1 billion by 9,866,004,321.
What is comparison of two numbers?Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.
What is "how much larger" in math?In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.
According to the given question
We have number 9966004321
1 billion = 1,000,000,000
So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.
Therefore,
9966004321 - 1,000,000,000 = 9,866,004,321
Hence, 9966004321 is larger than 1 billion by 9,866,004,321.
Learn more about comparison of two numbers here:
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Evaluate the following expression.
"the quotient of 18 and 2"
A. 1/9
B. 9
C. 16
D. 20
Answer:
B) 9
Step-by-step explanation:
Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:
Dividend ÷ Divisor = Quotient
18 ÷ 2 = 9
I need help finding the shaded area for d, e and f please and thank you
Answer:
d, 64.26 e, 27.475 f, 126.14
Step-by-step explanation:
For d, the diameter is 12 and the equation to find the circle is πr2. 6 is the radius, so 6x6=36, and 36x3.14 cause π=3.14. 36x3.14=113.04, and we have to divide by 2 cause its only half of the circle is shaded. 113.04/2=56.52. Now we have to do 12x12 to find the whole area of the square which is 144, then 144-113.04 cause we are finding the shade outside of the circle, so 144-113.04=30.96. Finally we divide by four of the outside corners, so 30.96/4=7.74. 7.74+56.52=64.26
So D is 64.26
WARNING: The rest of them i'm not gonna explain much of it i'm just gonna say what to do, but i'll put the answers! they are all very similiar. Also, i might be wrong, so if i'm wrong i'm sorry, i'm learning too!
For E, we have to find the smaller circle that has diameter of 10, then the bigger circle is diameter of 15, so find the area of the bigger circle then minus the smaller circle than divide by 2.
78.5-23.55=54.95
54.95/2=27.475
for F, we have to find the area of the half circle with diameter of 14, so find the area of the whole circle, and we dont have to divide two cause we have the other half on the other half, and half plus a half is a whole. Then we have to do 20x14 to find the whole square minus the circle.
280-153.86=126.14
Remember this might be wrong, so sorry if it is
17/7=3x + 2(5) / 3x - 2(5)
Please solve fast. It's really easy!
Answer:
j = 10.1
Step-by-step explanation:
The difference between 9.5 and 11.3 is
11.3 - 9.5 = 1.8
This is split into 3 divisions, that is
1.8 ÷ 3 = 0.6
Then
j = 9.5 + 0.6 = 10.1
In how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively
Given:
Total number of people = 10
To find:
The number of ways in which 10 people can be divided into three groups of 2, 3, and 5 people respectively.
Solution:
We know that the number of ways to select r items form n times is:
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
The number of ways to select 2 people from 10 is [tex]^{10}C_2[/tex].
The number of remaining people is [tex]10-2=8[/tex].
The number of ways to select 3 people from 8 is [tex]^{8}C_3[/tex].
The number of remaining people is [tex]8-3=5[/tex].
The number of ways to select 5 people from 5 is [tex]^{5}C_5[/tex].
Now, the total number of ways is:
[tex]Total=^{10}C_2\cdot ^{8}C_3\cdot ^{5}C_5[/tex]
[tex]Total=\dfrac{10!}{2!(10-2)!}\cdot \dfrac{8!}{3!(8-3)!}\cdot \dfrac{5!}{5!(5-5)!}[/tex]
[tex]Total=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}\cdot \dfrac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\cdot 1[/tex]
[tex]Total=45\cdot 56\cdot 1[/tex]
[tex]Total=2520[/tex]
Therefore, the total number of ways is 2520 to divide 10 people into three groups of 2, 3, and 5 people respectively.
A 32-ft pipe must be cut into three pieces. The longest piece will be twice as long as the shortest piece, and the medium-sized piece will be 4 feet longer than the shortest piece. Find the length of each piece of pipe.
Answer:
7, 11, 14 feet from shortest to longest
Step-by-step explanation:
Let's say that the shortest pipe is equal to x, and work from there.
The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x
The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.
The three pieces added up make up the 32 feet pipe, so we can write this as
(2*x) + (4+x) + x = 32
2*x + 4 + x + x = 32
4 * x + 4 = 32
subtract 4 from both sides to isolate the x and its coefficient
4 * x = 28
divide both sides by 4 to isolate the x
x= 7
Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long
simplify3³×9²×125³÷9³
Answer:
Step-by-step explanation:
Prime factorize 9 and 125
9 = 3* 3 = 3²
125 = 5 * 5 * 5 = 5³
3³ * 9² * 125³ ÷ 9³ = [tex]\frac{3^{3}*(3^{2})^{2}*(5^{3})^{3}}{(3^{2})^{3}}\\[/tex]
[tex]= \frac{3^{3}*3^{4}*5^{9}}{3^{6}}\\\\=\frac{3^{3+4}*5^{9}}{3^{6}}\\\\= \frac{3^{7}*5^{9}}{3^{6}}\\\\=3^{7-6}*5^{9}\\=3*5^{9}[/tex]
Exponent laws:
[tex](a^{m})^{n}=a^{m*n}\\\\\\a^{m}*a^{n} = a^{m +n}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n} \ ; \ m > n[/tex]
Laurie Corporation uses the FIFO method in its process costing system. Department A is the first stage of Laurie Corporation's production process. The following information is available for conversion costs for the month of May for Department A:
Units Work in process, beginning (25% complete with respect to conversion costs) 8.000 Started in May 40,000 Completed in May and transferred to Department B 38,000 Work in process, ending (60% complete with respect to conversion costs) 10.000
How many are the equivalent units of production for conversion costs for the month? O
A. 42,000 units
B. 36,000 units
C. 44,000 units
D. 38,000 units
Answer:
A.
Step-by-step explanation:
42,000 units
How to do this question
Answer:
Step-by-step explanation:
Answered by G a u t h m a t h
Please mark it as brainliest & thank it if it helped you
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 33t2 – 36t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
1 month
3 months
4 months
0 months
Answer: C. 4 months
Step-by-step explanation:
Someone in the comments said 4 months, tried it, and I got it correct so just passing it on.
PICTURE) Could someone please correct my answer and explain 6 for me marking brainliest
Answer:
For number 5, it is D
For number 6, it is A
Step-by-step explanation:
For number 5, we have the dimensions options here.
We first need to check to see if all the choices give the perimeter of 34, as sometimes there are trick answers.
We know the 34 is the perimeter because we are looking for area, so we add the two given numbers and double it to find the perimeter since we have the length and width.
*(Formula for perimeter is 2(L + W) )
(I already checked them all, and they all give to be 34 so they are all safe.)
Then we find the areas of each.
*(Formula for area is L * W {the " * " symbol represents multiplication.)
We multiply 12 by 5 to get 60.
We multiply 13 by 4 to get 52.
We multiply 10 by 7 to get 70.
We multiply 9 by 8 to get 72.
Since we are looking for the greatest area, we look for the greatest number, which is the 72.
Therefore the 9 by 8 option, or D is correct.
For number 6, we are looking for the minimum perimeter and we have the area, so we set the same thing up except modified slightly.
We first check if all the areas are 64 to look for a trick answer.
We multiply 8 by 8 to get 64.
We multiply 1 by 64 to get 64.
We multiply 6 by 6 to get 36. (WHAT?!!?!! omg me big brain lolza. {nah jk})
We multiply 32 by 2 to get 64.
So we know the 6 by 6 option or C is wrong.
Then we look for the perimeters of the dimension solutions.
(This will skip C so it will go A, B, and then D, since we know C is incorrect and is unrelated now.)
2 ( 8 + 8 ) = 32
2 ( 1 + 64 ) = 130
2 ( 32 + 2 ) = 68.
Since we are looking for the smallest perimeter, it is the smallest answer this time.
So it must be A, since 32 is the smallest.
Hope this helps!
Write an equation of the line that is parallel to the given line and passes through the given point.
9. y= -2x+6 (0,-4)
10. -2x+3y=12 (3,2)
pls help me!!!!!
Answer:
9.) y=-2x-4
10.)y=2/3x
Step-by-step explanation:
Parallel lines have the same slope, different intercepts
9.) The slope is -2x
To find the parallel line
y-(-4)=-2(x-0)
y+4=-2x
y-4=-2x-4
y=-2x-4
10.) You must first put the equation in slope-intercept form.
-2x+2x+3y=2x+12
3y=2x+12
Divide by 3
3y/3=2x/3+12/3
Simplify
y=2/3x+4
Slope = 2/3x
y-2=2/3(x-3)
y-2=2/3x-6/3
y-2=2/3x-2
y-2+2=2/3x-2+2
y=2/3x
Can someone please explain this step by step.
Answer:
-5 and 2
-3 and 0
-2 and -1
...gives -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-5,2), (-2,-1), (-3,0)
all pairs add up to -3
Will give brainliest plz answer quick
Answer:
65
Step-by-step explanation:
Exterior angle = Sum of 2 interior angles
x + 31 = x + x - 34
x + 31 = 2x - 34
x - 2x = - 34 - 31
- x = - 65
x = 65
Step-by-step explanation:
A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.
[tex]x+x-34+180-x-31=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
A stock lost 8 3/8 points on Monday and then another 1 5/8 points on Tuesday. On Wednesday, it gained 13 points. What was the
net gain or loss of the stock for these three days?
Answer:
The stock in last three days has a net gain of 3.
Step-by-step explanation:
The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:
[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]
[tex]x = 3[/tex]
The stock in last three days has a net gain of 3.
find the shaded area ..
Answer:
39°
Step-by-step explanation:
The angle adjacent to 115° in the lower triangle = 180° - 115° = 65°
angle on circle in lower triangle
= 180° - (65 + 76)° ← angle sum in triangle
= 180° - 141° = 39°
Angles on the circle subtended from the same arc are congruent, then
shaded angle = 39°
Can someone help me calculating the area of the whole figure?
Answer:
5•5= 25 (5•5)÷2= 12.5 25+12.5=37.5
Step-by-step explanation:
2. Find a true inequality that involves the real number 5/4
Answer:
c
Step-by-step explanation:
5/4>6/5
multiply by 20
25>24
which is true.
How do l solve this HELP pls
As its a Quadrilateral
Using angle sum property
[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]
[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]
[tex]\\ \sf\longmapsto 15x+255=360[/tex]
[tex]\\ \sf\longmapsto 15x=360-255[/tex]
[tex]\\ \sf\longmapsto 15x=105[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
The angle sum property of a quadrilateral
The sum of angles of a quadrilateral is 360°⇛ ∠E + ∠F + ∠G + ∠H = 360°
Solution[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]
[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]
[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]
[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]
5^5 over 5^8
simplify
Step-by-step explanation:
5⁵/5⁸
= 5^5-8
= 5^-3
or
(-5)×(-5)×(-5)
= -125
By the law
a^m÷ a^n = a^m-n
Need help ASAP rocky ! Help needed
Answer:
x/x∈R,x≤5 1/6
Step-by-step explanation:
HELP!
what is the y-intercept of the function f(x)=5*(1/6)^x
Answer:
The y intercept is (0,5)
Step-by-step explanation:
f(x) = 5 * (1/6)^x
What is the y intercept? Let x = 0
f(0) = 5 * (1/6)^0
f(0) = 5*1 = 0
The y intercept is (0,5)
Find the sum... 6.87 + 2.39
Answer:
9.26
Step-by-step explanation:
Using the table, we can deduce that:
6+2 = 8
8+3=11
7+9=16
Using addition rules:
The '1' in the 11 moves and is added to the 'ones' place.
The '1' in the 16 moves and is added to the 'hundredths' place.
Thus,
8+1 . (1+1) (6)
9.26
It is also most certainly possible to use a calculator, which is much, much easier.
Find the sum... 6.87 + 2.39
6.87 + 2.39=9.26
I really need help……
Answer:
Option C
Step-by-step explanation:
A function's input is assigned to exactly one output. Any input must not repeat.
Option A's not a function because the input of 3 repeats.
Option B's not a function because the input of -4 repeats.
Option C's a function because no inputs repeat.
Option D's not a function because the input of 5 repeats.
Hope this helps.
[15 points]The distance from the earth to the moon is approximately 380592 km. Assuming the moon has a circular orbit around the earth, find the distance the moon travels in orbiting the earth through an angle of 2.62 radians.
Answer:
634806 km travelled by the Moon as it orbits 2.62 radians about the Earth.
Step-by-step explanation:
convert to pi.
Tristan wants to build a Square Garden in his backyard that will cover an area of 75 ft.² if Tristan has 32 feet of material for the parimeter are the garden does he have enough explain
Answer:
u47464 is not working properly a lot and a new message was delivered at a loss or so to do a little better for your help you
Vertices name in triangle A B C
Answer:
The answer is B.
I think I answered the wrong answer.
WILL GIVE BRAINLIEST
[tex]\frac{x^2+10x+25}{8x+40}[/tex]
What is an equivalent expression in the lowest terms?