Answer:
The number of pencils that needs to be placed at the other 1 inch end to get a balance again is approximately 3 pencils
Step-by-step explanation:
The given parameters are;
The length of the ruler used as a seesaw = 12 inch
The location where the pencil is placed = Under the 4 inch mark
The location where the weight is placed to balance the seesaw = The 2 inch mark
Therefore, the pencil at the 4 inch mark is fulcrum
The location where a pencil is placed on the ruler = The 12 inch end
The number of pencils, x, that needs to be placed at the other 1 inch end to get a balance again is given as follows;
The distance of the pencil at the 12 inch end from the fulcrum = 12 inches - 4 inches = 8 inches
The distance of the pencils placed at the 1 inch end from the fulcrum = 4 inches - 1 inch = 3 inches
Therefore at balance point, (equilibrium) the anticlockwise moment = The clockwise moment, which gives;
The mass of 1 pencil × 8 inches = x × The mass of 1 pencil × 3 inches
x = (The mass of 1 pencil × 8 inches)/(3 inches × The mass of x × 1 pencil)
x = 8/3 = 2.[tex]\overline 6[/tex] ≈ 3 pencils
The number of pencils that needs to be placed at the other 1 inch end to get a balance again = x ≈ 3 pencils.
There are 17 adult dogs and 8 puppies at the dog park. Which statement is
correct?**
a. The ratio of adult dogs to puppies at the park is 8:17.
b. The ratio of adult dogs to all dogs at the park is 17:8.
c. The ratio of puppies to adult dogs at the park is 25:8.
d. The ratio of puppies to all dogs at the park is 8:25.
Answer:
B?!
I'm so sorry if I am wrong !
Step-by-step explanation:
Have A Wonderful Day !!
Determine the intercepts of the line.
6th grade math help me plzzz
Answer:
D
Step-by-step explanation:
Answer:
answer is d
2upon7
hope you understand
what is the graph for y=2x+1
PLEASE HELP ME WITH THIS TEST the LAST QATION AND I STUCK ON IT
Answer:
x = 36
∠M = 36
∠P = 71
∠N = 73
Step-by-step explanation:
Please help ASAP brainliest for correct answer
5.6 litres to nearest 0.5litres
If y = -5, what is the value of
2y+2
-
4
Answer:
-12
Step-by-step explanation:
Ok so I'm guessing that's a -4 but if its not, please correct me.
y= -5 is going to be plugged into 2y+2-4
This means that 2(-5)+2-4=?
2(-5) is the equivalent to 2 times -5, which is -10 (you solve multiplication first because order of operations)
Now, 2-4=-2
So using this, let's combine both equations!
-10+-2=?
?=-12
It's a lot of steps but they get easier the more you do them <3
Figure ABCD was reflected across the x-axis to create
figure A'B'CD!
What are the coordinates of the pre-image of B'?
(2,-8)
(-8,-2)
(-2, 8)
(8, 2)
Answer:
I think the answer is (8,2)
If a rectangle piece of dimensions 3 cm x 2 cm is cut from one corner of a rectangular sheet of dimensions 10 cm x 6 cm and attached to it's side projecting out of the rectangle, what will be the change in perimeter of the new shape thus formed?
Answer:
[tex]6\ \text{cm}[/tex]
Step-by-step explanation:
The sides of the larger rectangle are 10 cm and 6 cm.
The sides of the part cut out are 3 cm and 2 cm.
The part cut out is attached to one of the sides of the rectangle.
Perimeter of the new shape will be
[tex]6+7+2+3+2+3+2+13=38\ \text{cm}[/tex]
Perimeter of old shape
[tex]2(10+6)=32\ \text{cm}[/tex]
Change in the perimeter is [tex]38-32=6\ \text{cm}[/tex]
The perimeter of changed by [tex]6\ \text{cm}[/tex].
Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)
Answer:
< is greater sign and = is equal to sign
PLEASE HELP ILL GIVE YOU BRAINLIEST
Which two numbers multiply to 20 and add to 9
Answer: 5x4=20
And 5+4=9
Step-by-step explanation:
The required two numbers are 4 and 5.
What is equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
We need to find two number such that if multiply then we get 20 and add to get 9.
Let 'a' and 'b' be two numbers.
According to given conditions,
a × b = 20 .........................(i)
a + b =9 .......................(ii)
So, from given conditions we have two equations (i) and (ii).
From equation (ii) we have,
a = 9 - b ...............(iii)
Substitute above value of 'a' in equation (i),
⇒ (9 - b) × b = 20
⇒ 9b - b² = 20
⇒ b² - 9b + 20 = 0
Now we solve this quadratic equation to find b.
⇒ b² - 9b + 20 = 0
⇒ b² - 5b - 4b + 20 = 0
⇒ (b - 5) (b - 4) = 0
⇒ b = 5 or b = 4
Find the value of 'a' from equation (iii)
When b = 5
⇒ a = 9 - 5
⇒ a = 4
When b = 4
⇒ a = 9 - 4
⇒ a = 5
Therefore, the required two numbers are 4 and 5.
Learn more about equation here:
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Part A :
Draw arrows on the graph below for RISE and RUN. *Remember to start at the left point.*
Part B :
Find the slope of the line from the graph above. *Don't forget to simplify!*
8. Write the equation of a line through points (5,5) and (1, 0) in point-slope form.
y = (x - 1)
О
5
y-1= = (x - 1)
y==(x-5)
y-5= -(x - 1)
Answer:
y=5x-7
Step-by-step explanation:
Did this earlier today
The largest of the resort cities on Mexico's Pacific coast is
Veracruz
Tampico
Cancun
Acapulco
Answer:
Acapulco
Step-by-step explanation:
Help! “Ms.Day drew a rectangle on the board with a width of 14 cm and a digo al length of 50 cm. Find the length of this rectangle in centimeters.”
Answer:
length=48cm
Step-by-step explanation:
a²+14²=50²
a²+196=2500
a²=2304
a=48
What are the possible names of the angle shown here? Select all that apply.
Angle2
AngleRTS
AngleTSR
AngleR
AngleRST
Answer:
a c e
Step-by-step explanation:
Answer:
a c e is correct
Step-by-step explanation:
6a + 5a = 11
Just a little confused thats all
Answer
11a = 11
a = 1
Step-by-step explanation:
A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?
Answer:
$60
Step-by-step explanation:
i-ready
Mario received y text messages each minute for 10
minutes yesterday and received t test messages
each minute for 20 minutes today. What is the
total number of text messages he received for two
days in terms of y and t?
a. 30yt
b. 200yt
C. 20y+100
d. 10y+20t
The total number of text messages he received for two days is 10y+20t
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Mario received y text messages each minute for 10 minutes yesterday and received t text messages each minute for 20 minutes today.
Number of text messages for yesterday = 10y
Number of text messages for today = 20t
Total = 10y+20t
Hence, The total number of text messages he received for two days is 10y+20t
For more references on equation, click;
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Which is the graph of y=3/4x-3?
Graph C
Graph B
Graph A
7 1/2 divided by 3/4 ?
= 5
= 4
= 7
= 10
Answer:
10
Step-by-step explanation:
Write a rule for the translation of AABC to AA'B'C'
Answer:
(x-1,y-2)
Step-by-step explanation:
Consider the line y = - 4x +3,
Find the equation of the line that is parallel to this line and passes through the point (2, -3).
Answer:
y = -4x + 5 {slope-intercept form}Step-by-step explanation:
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = - 4x + 3 ⇒ m₁ = -4 ⇒ m₂ = -4
The point-slope form of the equation of a line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
m = -4
(2, -3) ⇒ x₁ = 2, y₁ = -3
point-slope form:
y - (-3) = -4(x - 2)
y + 3 = -4x + 8 {subtact 3 from both sides}
y = -4x + 5 ← slope-intercept form
Find a probable next term for the sequence 9,20,39,72,125,204,315
Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464
B is the midpoint of AC
А
B
C
If:
AB=9x + 1 and
BC = 6x + 25
Find AC.
AC =
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 10 percent as much of its carbon-14 as compared to a living sample. How old is the fossil?
1904 years
38077 years
19039 years
3808 years
Answer:
It is 19039 years
Step-by-step explanation:
I took the test and double checked on my calculator.
plz answer my question
Answer:
a its not straight and its negative
Answer:
I'm pretty sure it is nonlinear with negative trend.
Step-by-step explanation:
I think this because the data points are going down so, negative. And linear means "to be in a straight line" which it is not. So the answer would be nonlinear with a negative trend.
Happy to Help :)
there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%
Answer:
1)
D. 3:2
2)
B. 40%
as, no. of girls=8
total no. of students =12+8=20
now,
percentage of girls=no.of girls/total no. of students ×100%
=8/20×100%
=40%
Which is a central idea of the article?
A. Congress passed the Fair Labor Standards Act to protect young workers.
B. Hundreds of thousands of kids work long hours under dangerous conditions on U.S. farms.
C. Reyes has been working on farms in Michigan since he was 9 years old.
D. Worldwide, about 152 million kids ages 5 to 17 are child laborers.
Answer:
a is the right answer Congress passed the fair labor standards act to protect young workers