Answer:
Let the 5 consecutive numbers be x, x + 1, x + 2, x + 3 and x + 4.
The sum of the 5 consecutive numbers,
x + x + 1 + x + 2 + x + 3 + x + 4
= x + x + x + x + x + 1 + 2 + 3 + 4
= 5x + 10
To prove : -
The sum of any 5 consecutive natural numbers is divisible by 5.
Proof : -
( 5x + 10 ) / 5
= ( 5x / 5 ) + ( 10 / 5 )
= x + 2
Hence proved.
Therefore,
The sum of any 5 consecutive natural numbers is divisible by 5.
is it a good idea to transplant organs from pigs into humans?
Answer:
um probably not
Step-by-step explanation:
have a great day...thanks for points ig :)
Answer:
no
Step-by-step explanation:
transplanting any animal organs into humans propose risk due to potential diseases and the probability that human bodies will reject the organs. if you think about it, humans can reject organs from other humans, so it doesn't sound likely that humans will accept another specie's.
A rental car leaves San Francisco at 10.20am and reaches Los Angeles at 10.45am covering a distance of 75 kilometers.
i) How long is the drive ?
ii) Find the average of the car ?
what is the product of 0.35 and 0.46? (with solution please)
Step-by-step explanation:
Hope this helps you ☺️☺️☺️
Plz help, I don’t understand
Help me and there will be an apple at your doorstep. (There might be some shipping issues)
Fill in the blank.
Answer:
9.30 maybe
Step-by-step explanation:
I just did mathz
Answer:
9.30
Step-by-step explanation:
i need help please show your work please
Find the least common multiple of 14 and 28.
Answer:
The LCM of 14 and 28 IS 28
Step-by-step explanation:
Hey !! Can anyone help me with this question please and thank you !
Answer:
x = 22
Step-by-step explanation:
6x+3 = 7x - 19
22 = x
good day
3. At a cross country race, Ariela's heart beats 120 times in 1 minute. How many times does i
beat in 45 seconds?
Answer:
vgbsmihgdjuvs
ihfriguiuvgrlgr
HELP!
Claymore electronics sold 81 computers and 52 printers last week. Twenty-five separate customers purchased computers and printers. How many customers purchased only computers.
Answer:
56!
Step-by-step explanation:
HOPE THIS HELPS
HAVE A NICE DAY!!
MARK BRAINLIEST IF POSSIBLE PLS! :D
what is 3/5 + 2/3 I'm just curious
Answer:
[tex]\frac{19}{15}[/tex]
Step-by-step explanation:
or [tex]1\frac{4}{15}[/tex]
or 1.26
Answer:
19/15
Step-by-step explanation:
you have to find a common denominator with is 15 3 goes into 15, 5 times and 5 goes into 15, 3 times
then u multiply
3/5 + 2/3
3 × 3=9
2×5= 10
then add then together
and u get 19/15
What is the answer to 4(-x + 4) =12
Hey there!
4(-x + 4) = 12
4(-x) + 4(4) = 12
-4x + 16 = 12
SUBTRACT 16 to BOTH SIDES
-4x + 16 - 16 = 12 - 16
CANCEL out: 16 - 16 because it gives you 0
KEEP: 12 - 16 because it helps solve for the x-value
NEW (temporary) EQUATION: -4x = 12 - 16
12 - 16 = -4
NEW EQUATION: -4x = -4
DIVIDE -4 to BOTH SIDES
-4x/-4 = -4/-4
CANCEL out: -4/-4 (the LEFT side) because that gives you 1
KEEP: -4/-4 (the RIGHT side) because it gives you the result of the x-value
x = -4/-4
x = 1
Therefore, your answer is: x = 1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Based on a poll
, among adults who regret getting tattoos, 14% say that they were too young when they got their tattoos. Assume that six adults who regret getting
tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
a. Find the probability that none of the selected adults say that they were too young to get tattoos
(Round to four decimal places as needed.)
The probability that none of the selected adults say that they were too young to get tattoos is 0.3512
What is Binomial probability distribution?The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
14% say that they were too young when they got their tattoos.
So, p= 0.14.
Six adults who regret getting tattoos are randomly selected
So, n=6.
Now, the probability that none of the selected adults say that they were too young to get tattoos.
P(X=0) = [tex]C_ {6.0} (0.14)^{0} (0.86)^{6}[/tex]
= 0.3512
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How to do q6 (a) and (b)? please help!!!
ignore my draft haha
a)
The sides of small squares are x and y, therefore the side of the big square is x + y.
The shaded region has an area:
(x + y)² - x² - y² = x² + 2xy + y² - x² - y² = 2xyb)
After the dimension changes the new side lengths are:
x - 2 and y + 2Since x and y are integers greater than 1, the minimum value of x is 2 (x = 1 doesn't work as we get negative value of x - 2) and same of y is 3 as y > x.
With this the smallest possible area of the shaded region is:
2xy = 2*2*3 = 12 cm²MODELING REAL LIFE: Faucet A
leaks at a rate of 21 liters per
day. Faucet B leaks at a rate
of 30 drips per minute.
Which faucet leaks at a
faster rate? (1 liter= 4000 drips)
Answer:
It would be Faucet A
Once we transfer liters to drips:
Faucet A= 84,000 drips
Faucet B= 30 drips
As you can tell, Faucet A is dripping way more than Faucet B.
Hope this helps!
900,000 is 10 times as much as?
Answer:
90,000
Step-by-step explanation:
90,000 × 10 = 900,000
a box contains 8 red marbles, 5 white marbles,and 4 blue marbles . if a marble is ramdomly selected from the box what is the probability that is white
Solve the equation for the indicated variable.
P = 2L + 2W for L
Answer:
L = 1/2(P) - W
Step-by-step explanation:
Step 1: Flip the equation.
[tex]2L+2W=P[/tex]Step 2: Subtract 2W from both sides.
[tex]2L + 2W - 2W = P - 2W[/tex] [tex]2L = P - 2W[/tex]Step 3: Divide both sides by 2.
[tex]\frac{2L}{2} = \frac{P-2W}{2}[/tex] [tex]L = \frac{1}{2}P - W[/tex]Therefore, the answer is [tex]L = \frac{1}{2}P - W[/tex]
Am i doing this right? Confused
Match each verbal description to its equivalent function rule as applied to the given function below.
f(x) = 70 + 5/(*) = 71 +5
g(
= 213 + 17
9(2)
= 14 + 79(1) = 141 +7
9(2)
73 + 149(*) = 75 + 14
9(2)
= – 7:– 169(1) = -71 – 16
9(30)
= 70
189(1) = 71 – 18
g(x)
- 720 + 169(3)
-75 + 16
The function f stretched vertically by a
factor of 2 and translated down by 3 units.
<
The function f translated
2 units down and 3 units right.
9514 1404 393
Answer:
g(x) = 14x +7g(x) = 7x -18g(x) = -7x -16g(x) = 21x +17Step-by-step explanation:
The transformations of interest here are ...
g(x) = b·f(x) . . . . vertical scaling by a factor of bg(x) = f(-x) . . . . . reflection across the y-axisg(x) = f(x -h) +k . . . translation h units right and k units up1. The transformation parameters are given as b=2, (h, k) = (0, -3). Then we have ...
f1(x) = 2f(x) = 2(7x +5) = 14x +10 . . . . . vertical stretch by 2
g(x) = f1(x -0) -3 = 14(x -0) +10 -3
g(x) = 14x +7
__
2. (h, k) = (3, -2)
g(x) = f(x -3) -2 = 7(x -3) +5 -2 = 7x -21 +3
g(x) = 7x -18
__
3. The reflection gives us ...
f1(x) = f(-x) = 7(-x) +5 = -7x +5
Then the translation 3 left is (h, k) = (-3, 0).
g(x) = f1(x -(-3)) +0 = -7(x +3) +5 = -7x -21 +5
g(x) = -7x -16
__
4. The transformation parameters are b = 3 and (h, k) = (0, 2).
f1(x) = 3f(x) = 3(7x +5) = 21x +15 . . . . . . vertical stretch by 3
g(x) = f1(x) +2 = 21x +15 +2
g(x) = 21x +17
Use the distributive property to remove the parentheses.
-3(-6y +3w-2)
Answer:
18y-9w+6
Step-by-step explanation:
-3*-6y=18y
-3*3w=-9w
-3-2=6
so, 18y-9w+6
Answer:
18y-9w+6
Step-by-step explanation:
The distributive property tells that because the -3 is outside of the parentheses, we multiply all values inside the parentheses by -3.
So, -6y * -3 is 18y because two negatives cancel out, 3w * -3 equals -9w, and -2 * -3 is 6, again because two negatives cancel each other out.
We put this all together, the parentheses and -3 is removed, and the expression becomes 18y-9w+6.
if 1/2gallon of paint cover 1/6 of a wall then how much paint is needed for the entire wall?
Answer:
0.5 gallons paints 1/6of the wall..
0.5+0.5+0.5+0.5+0.5+0.5=> 3 gallons paint the wall
£35 in the ratio 3:4
Answer:15 and 25
Step-by-step explanation:
3:4= 7
35/7=5
5x3=15
5x4=20
A rectangular prism has a height of 12 yards and a base with area of 53 square yards what is its volume
Answer:
16
Step-by-step explanation:
Tony babysits his neighbor's children to earn extra money. He earns 10+5h dollars for every h hours he babysits. Last night, Tony babysat the neighbor's children for 2.5 hours.
Answer:
22.5$
Step-by-step explanation:
So first we can insert 2.5 into the equation so that we get the right answer:
10+5(2.5)
We can now simplify by doing 5 times 2.5 which is 12.5
We then add 10 to 12.5 to get our answer; 22.5$
If this helped you, consider marking as brainliest!
What is the slope of this line?
Answer:
slope = 8/3
Step-by-step explanation:
(-3, -4)
(0, 4)
m = (4 - (-4))/(0-(-3))
m = 8/3
quanto fa uno + uno + quattro
Answer: 6
Step-by-step explanation:
1 + 1 + 4
2 + 4
6
Critical values are considered to be part of the
Answer:
critical value is considered part of the rejection region.
Step-by-step explanation:
hope this helps!
Super hero academy's ratio of boys to girls is 5:3. If 7th grade has 150,
7th grade students how many boys and girls are in 7th grade?
Answer:
94 boys and 56 girls.
Step-by-step explanation:
150/8 = 18.75 = x
b=x*5 = 94
g=x*3 = 56
b+g=150
Looking at the question, we see that the ratio of boys to girls is 5:3, the total is 8. We are trying to find what the ratio of boys to girls is while the total is 150. Now, we can easily divide 150 by 8, finding one part of our answer! 150 ÷ 8 ≈ 18 [tex]\frac{3}{4}[/tex]. now to multiply that by the amount of boys and girls (5:3), 18 [tex]\frac{3}{4}[/tex] × 5 = 93 [tex]\frac{3}{4}[/tex] and 18 [tex]\frac{3}{4}[/tex] × 3 = 56 [tex]\frac{1}{4}[/tex]. After we round we get 94:56.
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I hope this helps you! If you can't understand, try to comment and I'll try my best to help. Thanks! -Doodle
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Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
2 = 4y - 10
7x +12y = 7
The more convenient method to solve the given system of equations is by elimination.
Solving systems of linear equationFrom the question, we are to determine whether it would be more convenient to solve the system of equations by substitution or elimination
The given system of equations is
2 = 4y - 10 ----------- (1)
7x +12y = 7 ----------- (2)
In equation (1), we can see that there is no variable x in the equation. Thus we can solve for y and then substitute the value of y into equation (2).
That is,
From equation (1)
2 = 4y - 10
2 + 10 = 4y
12 = 4y
12/4 = 4y/4
3 = y
∴ y = 3
Now, we can substitute the value of y into equation (2) to determine the value of x
Hence, the more convenient method to solve the given system of equations is by elimination.
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