Answers
Answer:
1 = pentagon2 = diamond3 = square5 = circle6 = rectangle7 = oval8 = triangle9 = hexagon10 = trapezoidStep-by-step explanation:
Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.
The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.
The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.
The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.
We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.
The weights are summarized in the answer section, above.
Related Questions
how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester
Answers
2. You can write down a power or in text you use a carrot or a ^ and write 18/48^10
A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?
Answers
is this a function
Find the domain and range
Answers
Answer:
Yes
Domain: 1, -1, 0, -3, 3
Range: 1, -1, 6
Step-by-step explanation:
The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function
can someone help me out plz
Answers
Answers:
A = 3
B = -7
C = 3
D = -7
======================================================
Explanation:
You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.
Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for [tex]9x^2-42x+49=0[/tex]
We'll plug in a = 9, b = -42, and c = 49.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-42)\pm\sqrt{(-42)^2-4(9)(49)}}{2(9)}\\\\x = \frac{42\pm\sqrt{0}}{18}\\\\x = \frac{42+0}{18}\\\\x = \frac{42}{18}\\\\x = \frac{7}{3}\\\\[/tex]
Because the root is x = 7/3, it leads to the factor 3x-7 = 0
Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.
It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.
So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.
Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.
Therefore, A and C are both 3, while B and D are both -7.
Prove the following:
1 + cos^2 A = 2 ( cos^4A + sin^4A)
Answers
The 2 sides of the equation are not equal; hence, I cannot prove them to be true.
Carmen can make 9 bracelets each day. She needs to make at
least 120 bracelets to sell at a craft fair. She estimates she will need more
than 13 days to make enough bracelets. Is she correct? Explain.
Answers
Step-by-step explanation:
yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct
Mr. Rao's gas tank holds up to 1718 gallons of gas. It took 12.65 gallons of gas to fill his tank.
How many gallons of gas did Mr. Rao have in his tank before he filled it?
Enter your answer as a decimal or as a mixed number in simplest form in the box.
gal
Answers
4.475 or 4 19/40 gallons
How?
12.65=253/20
253/20= 12 13/20
////////
I need a similar denominator of 12 13/20 and 17 1/8.
12 13/20×2/1= 12 26/40
17 1/8×5= 17 5/40
17 5/40-12 26/40= 4 19/40
Therefore,
the answer is 4 18/40 gals
Answer:
4 19/20
Step-by-step explanation:
17 1/8 - 12 13/20 = 4 19/20
A) by AA similarity
B) by sas similarity
C)Not enough information
D) by sss similarity
Please see the photo
Please don't answer randomly because if you answer randomly you are gonna lose points
Answers
Answer: b
Step-by-step explanation:
Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)
Step-by-step explanation:
3\sqrt{ }528
please help
Answers
Answer:
8.08248
Step-by-step explanation:
Use a calculator
ITS DUE TMRW!! PLS HELP
What is the value of x in the solution to this system of equations?
5x − 5y = 120
y= −7x + 8
Enter your answer in the box.
Answers
Answer:
x = 24 + y
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Answer:
Step-by-step explanation:
5x − 5y = 120
y= −7x + 8
Use the second equation in the first (eliminates y)
5x − 5(−7x + 8) = 120
5x (+35x -40) = 120
40x -40 = 120
40x = 160
x = 4
----
If x = 4:
y= −7x + 8
y= −7*(4) + 8
y= -28 + 8
y = -20
====
The solution is (4,-20)
Emir is ordering theater tickets online for up to four of his classmates for an upcoming show. The ordering fee is $4 and the cost per ticket is $8.
Answers
Answer:
y=8x+4
Step-by-step explanation:
I am assuming you are asking for an equation.
Total cost = $8*(number of people) + $4
Write the equation of the line that passes through the point -3,4 and slope of 6
Answers
Explanation:
1. we first start with the equation y=Mx+b
2. Then we plug in the slope (6) into M
3. Now you have y=6x+b
4. Now you plug in your point (-3,4) into the y and the x values
5. You are now stuck with 4=6(-3)+b
6. Now multiply 6 and -3 which gets you -18
7. Your new equation is now 4=-18+b
8. Now add 18 to both sides of the equals sign
9. Now you have 4+18=b
10. Add 4+18 which gets you 22. B is 22
11. Plug b into the equation and turn the values of x and y back to those letters
12. You now have the answer of y=6x+22
Which inequality is graphed below
Answers
Would someone help me out?
A)56.6
B)58.4
C)53.5
Answers
Answer:
it is c
Step-by-step explanation:
WILL GIVE BRAINLIEST
y = 2x - 9
y = 1/2x + 3
These two lines are:
parallel
perpendicular
neither
Answers
Answer:
neither
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 9 ← is in slope- intercept form
with slope m = 2
y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
2 ≠ [tex]\frac{1}{2}[/tex] , then lines are not parallel
2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1, then lines are not perpendicular
How many real roots does the quadratic function h (x) = 2x2 – 3x + 6 have?
Answers
±
i
√
39
4
I hope this helps
(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12
Answers
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
NEED HELPPP ASAAPPPPPPP
Answers
Answer:
me too
Step-by-step explanation:
tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?
Answers
Answer: Tyson is 188 centimetres tall.
The table shows the population of a small town over time. The function P = 10,550(1. 1)x models the population x years after the year 2000. A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050.
Answers
The population model is most sufficient for 2005 because 2005 is the closest to 2000
The population function is given as:
[tex]P(x) = 10550(1.1)^x[/tex]
From the question, we understand that the population model is for years after 2000.
This means that the model cannot be used for the year 1950; because 1950 is before 2000.
The model can be used for years 2005, 2025 and 2050.
However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time
Read more about population functions at:
https://brainly.com/question/15680851
Answer:
B!
Step-by-step explanation:
What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?
Answers
Answer:
if it is (2x-y)8
then it is 16x - 8y
[tex]x^0[/tex]y = 1.y = y
so the co efficient of y is -8
Step-by-step explanation:
I really need help!!
Answers
Answer:
Red: y=4
Green: x=-1
Yellow: x=6
Blue: x=-2
Step-by-step explanation:
The lines are all passing through the Axis, so there is no slope for each line.
What is the scale factor of the
dilation shown?
Answers
Answer:
2
Step-by-step explanation:
f(x) = -3x – 1
g(x) = x2 + 6x – 12
Find: g(f(x))
Answers
Find g(f(x)) f(x)=3x^2+6x-4 g(x)=-3x+4. f(x)=3x2+6x−4 f ( x ) = 3 x 2 + 6 x - 4 g(x)=−3x+4 g ( x ) = - 3 x + 4. Set up the composite result function.
6 divided by 4 write your answer in a decimal form
Answers
Answer:
1.5
Step-by-step explanation:
Four goes into six once, then four goes into 20 5 times
50 POINTS PLEASE HELP FILL IN BLANKS!!!!
An ______ is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. ______ are groups of points that are all graphed close together. A ____ occurs when there are points clustered at two different spots on a scatter plot.
Answers
Answer:
Outlier, clusters, and gap in your value.
Step-by-step explanation:
An OUTLIER is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. DATA CLUSTERS are groups of points that are all graphed close together. A GAP IN VALUE occurs when there are points clustered at two different spots on a scatter plot.
A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?
Answers
Answer:
6 miles
Step-by-step explanation:
2 inches : 1.5 miles
8 inches : 4(2 inches)
8 inches : 4(1.5 miles)
8 inches : 6 miles
6 miles away
-Chetan K
The actual distance between the two trails is 6 miles.
Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.
Let x represent the actual distance between the trails in miles. The proportion would be:
(2 inches / 1.5 miles) = (8 inches / x miles)
Now, solving for x:
2/1.5 = 8/x
Cross-multiplying:
2x = 1.5 × 8
2x = 12
Divide by 2:
x = 6
So, the actual distance between the two trails is 6 miles.
Learn more about proportion here:
https://brainly.com/question/1496357
#SPJ3
How do I Solve for 5x+2=180
Answers
If 3x = 21, find the value of 23 - 4x
Answers
Answer:
- 5
Step-by-step explanation:
Given
3x = 21 ( divide both sides by 3 )
x = 7
Then
23 - 4x = 23 - 4(7) = 23 - 28 = - 5
solve similar triangles (advanced)
Answers
Answer:
x = 9/4
Step-by-step explanation:
Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.
AB/BC = CG/GE
x/1 = 9/4
x = 9/4
_____
Additional comment
Using the given triangles, you can write the proportion statement as ...
(9+x)/x = 5/1
We judge this to take more steps to solve, so we prefer the method shown above.