We want to see underline the correct part in each statement.
1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).So, Jean and Jericho are playing on a seesaw.
Jean is heavier than Jericho.
Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.
If we define:
W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.We must have:
W₁*d₁ = W₂*d₂
Then:
1) This situation illustrates (direct, inverse) variation.
d₁, the position of Jean, varies inversely with respect to Jean's weight.
2) The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
(by the equation above)
3) The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
By the given equation, we see that d₁ must be smaller than d₂.
And the last two are trivial:
4) When Jean moves farther from the center, Jericho tends to go (up,
down).
5) If Jericho moves closer to the center, Jean tends to go (up, down).
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(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answer:
lllllllllllllll
Step-by-step explanation:
its is 15 large tables
A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?
Step-by-step explanation:
4 1/2 = 9/2
so, the calculation is simply how often 3/4 fits into 9/2.
and that is done by division :
9/2 / 3/4
and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.
so,
9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6
so, without any breaks the teacher can schedule 6 lessons each night.
I don’t really understand this, if you don’t mind please explain.
Answer:
Roman is wrong because 6/31 is bigger than 9/47
Step-by-step explanation:
no.
i want you to BRING OUT THAT AWESOME CALCULATOR RIGHT NOW! I DONT CARE IF ITS ON YOUR COMPUTER or even an ol fashioned one right in your hands
ok now enter 6 and then divide by (division sign), and then 31. and press Enter or equal sign. now notice that we get A SUPER LONG NUMBER like this
0.19354838....
DO THE SAME THING WITH 9 divided by 47!!
0.19148936....
ok notice. take a look at the third number from the decimal point for each result. they are different. for some SILLY REASON, Roman decided to ignore the rest of the numbers.
6/31 is bigger than 9/47!!!!
Given the net of dimensions below find the volume of the shape
Answer:
140cm^3
Step-by-step explanation:
4*5*7 = 140
2x+7y=5
2x-7y=19
elimanation or substution
Answer:
(6, -1)
Step-by-step explanation:
4x = 24
x = 6
2(6) + 7y = 5
12 + 7y = 5
7y = -7
y = -1
Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?
Answer:
690
Step-by-step explanation:
23% of 3000 is 690 (love your username btw; 2️⃣ Set
A mixture of paint calls for 1/3 cups of red paint and 1/2 cup of yellow paint. How many cups of red paint would be needed for every 1 cup of yellow paint?
Step-by-step explanation:
1 cup of yellow paint = 2×1/2 cup.
and that requires then also 2×1/3 Co red paint.
so, 1 cup of yellow paint mixes with 2/3 cups of red paint.
2 and 3 have a smallest common multiple (smallest number that is divisible by both numbers without remainder) of 6.
so, we need to get 6 units of each for a whole number ratio :
6×1/2 = 3 cups of yellow paint mix with 6×1/3 = 2 cups of red paint.
can someone help me please
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
Subtract the equations.
3x + 4y = 17
(3x +2y = 3)
-
O A. 6x = 20
O B. -6x = 14
c. 2y = 14
O D. 6y = 20
Answer:
C
Step-by-step explanation:
Sarah is paid $20 an hour at her new job. She wishes to graph her total pay y, as a function of the
number of hours, x. She wants to be sure her graph shows her pay for 10 and 20 hours of work.
Answer:
see image; 200; 400
Step-by-step explanation:
y=20x
graph
What is the distance between (-8, -1) and (-4, -9)?
Answer:
The distance formula between two points is
D=√([tex]x_{2} \\[/tex] -[tex]x_{1\\}[/tex])^2 + ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2
Whereas
d is distance
So in this case
(-8, -1)
(-4, -9)
x2 is -4
x1 is -8
y2 is -9
y1 is -1
Now we plug them in
d= √(-4 + 8)^2 + (-9+1)^2
Now solve
it’s about
8.94427
HELP ASAP. Dilation scale=2, center (5,4)
Graph the new points
Answer:
3.5
Step-by-step explanation:
3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
cardboard that is 10 inches by 18 inches. The box will be formed by making cuts as shown in
the diagram and folding up the sides.
a) Write a function that models the volume of the box.
b) What are the dimensions of the box with the maximum volume? Round to the nearest tenth.
el
at
c) What is the maximum volume of the box?
The volume of the box is the amount of space in it.
The dimension of the postcard is:
[tex]\mathbf{Length = 10}[/tex]
[tex]\mathbf{Width = 18}[/tex]
Let x represents the length of the cut.
So, the dimension of the box is:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
(a) The function that represents the volume of the box
This is calculated as:
[tex]\mathbf{V(x) = Length \times Width \times Height}[/tex]
So, we have:
[tex]\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}[/tex]
Expand
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Hence, the volume function is: [tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
(b) The dimension that maximizes the volume
We have:
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Differentiate
[tex]\mathbf{V'(x) = 180- 112x + 12x^2}[/tex]
Set to 0
[tex]\mathbf{180- 112x + 12x^2 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{x = 7.3,2.1}[/tex]
The value x = 7.3 is greater than the dimension of the box.
So, we have:
[tex]\mathbf{x = 2.1}[/tex]
Recall that:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, we have:
[tex]\mathbf{Length = 10 -2 \times 2.1 = 5.8}[/tex]
[tex]\mathbf{Width = 18 -2 \times 2.1 = 13.8}[/tex]
[tex]\mathbf{Height = 2.1}[/tex]
Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1
(c) The maximum volume
This is calculated as the product of the dimension of the box
So, we have:
[tex]\mathbf{Volume = 5.8 \times 13.8 \times 2.1}[/tex]
[tex]\mathbf{Volume = 168.1}[/tex]
Hence, the maximum volume of the box is 168.1 cubic inches
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-
6 less than the product of a number and 3 is -18.. What is the
number?
Answer:X= -4
Step-by-step explanation:
6 less than the product of a number and 3 is -18.
Make each part of the sentence into numbers:
"the product of a number and 3": becomes X*(3), where X is the "number."
"6 less than": is -6, so we have:
X*(3) - 6
"is -18" means = -18
Put the segments into one equation and solve:
X*(3) - 6 = -18
3X-6=-18
3X = -12
X = -4
====
See if this works: If X=-4, then the product of it and 3 is -12. Six less than -12 is -18. And that is correct. X= -4
If sin(0) > 0, then in which quadrants could 0 lie? Select all correct answers.
Select all that apply:
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
I and IV
Step-by-step explanation:
based on the unity circle 0 and 360 is on the same plane..hope it's answerd
PLEASE HELP I need the answer please
17. <
18.=
19.>
20.>
21.3.021,3.12,3.121,3.21
22. 1.03,1.03,1.3,1.39
23.
Lindsey's new car travels 93 miles on 3 gallons of gasoline. how many gallons are needed to travel 310 miles?
What is the greatest integer that satisfies the inequality below?
Answer:
Step-by-step explanation:
- 2x > 17
x < 17 ÷ ( - 2 )
x < - 8.5
x ∈ ( - ∞ , - 8.5 )
The greatest integer that satisfies the inequality is ( - 9 )
Math 8 Question! :)
Four different positive integers have a mean (average) of 100. If the positive difference between the smallest and largest of these integers is as large as possible, determine the average of the other two integers.
Answer:
2.5
Step-by-step explanation:
"Four different positive integers have a mean (average) of 100"
The total of the 4 numbers is then 4* 100 = 400
"the positive difference between the smallest and largest of these integers is as large as possible"
to get the greatest difference the first 3 numbers must be
1, 2 and 3 which totals 6
the 4th number is then 400 - 6 = 394
the four numbers are 1, 2, 3 and 394
The greatest difference is between 1 and 394
"the average of the other two integers"
(2 + 3)/2 = 2.5
The average of the other two integers is 1.5.
What is the average of the two numbers?
An integer is an whole number. An example of an integer is 20.
If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5
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One theme in “Thank You, Ma’am” is that respectful treatment encourages mutual respect. Which passages from the story support this theme?
Select all that apply.
Thank You, Ma’am
He did not trust the woman not to trust him. And he did not want to be mistrusted now.
He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
“Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink.
Answer:
Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.
Step-by-step explanation:
Brainliest Please!The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.
These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.
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please help this is a hard question and i just cant figure it out
Answer:
y=x+6.
Step-by-step explanation:
the slope-interception form is: y=s*x+i, where s - slope, i - interception.
according to the data in the graph i=6, s=1, then finally,
y=x+6.
help me brain pt Part 1
Plz Help!!! Fast!!
A statue is made of gold and silver in the ratio of 2:5. If the weight of the silver in the statue is 140 pounds, what is the weight of the gold?
Show all work!
Answer:
if the gold in this ratio is the 2 out of the 2:5 then the answer is 56 but if its the 5 then its 350
Step-by-step explanation:
The weight of gold is 56
Step-by-step explanation:
gold= 2
sliver = 5
weight of gold = x
weight of silver = 140
2/5 = x/140 solve for x
280=5x
x=280/5
x= 56
help me with this please! :)
Answer:
108 - 9y
Step-by-step explanation:
9(12 - y)
9(12) - 9(y)
108 - 9y
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Write the standard form of the equation of the circle with a radius of 7 and center (2,-4).
(x+2)2+(y-4)2=49
(x-2)2+(y+4)2=49
(x+2)2+(y-4)2=7
(x-2)2+(y+4)2=7
( x - 2 )² + ( y + 4 )² = 49
.........................................
Write numbers in the number grid to make it correct. 4 9 35
Given: Circle A externally tangent to Circle B.
How many possible common tangents to circles A and B can exist?
2
3
4
there are only 2 possible common tangents to circles A and B can exist
ok done. Thank to me :>
Answer:
3
Step-by-step explanation:
hi i need the answer to this now plz
2 divided by 3
plz explain how you got answer like show work
Can someone help me with this please
Answer:
2vx
20ce
30a^2
30xw^2
42m^3n^2
24a^2c^2x^3
7n
8x
6wx
3ac^2
6wx^2
6a^2c
instead of writing ^2/^3 (which means to the power of 2/3), use symbol input which it tells you in the question
please help me with mathhhh.
Answer:
B
Step-by-step explanation:
You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.