Answer:
1 < x < 12
Step-by-step explanation:
The triangles satisfy the Converse Hi nge Theorem Condition the two triangles have two corresponding equal sides. Thus, the included angle of the triangle that has the largest length of the third side is greater than the included angle of the other triangle with a lesser third side length.
Thus,
33 > 3x - 3
Solve for x
33 + 3 > 3x - 3 + 3
36 > 3x
36/3 > 3x/3
12 > x
To ensure the angle is not 0 or negative, thus:
3x - 3 > 0
Solve for x
3x - 3 + 3 > 0 + 3
3x > 3
3x/3 > 3/3
x > 1
Possible range of values of x would be:
1 < x < 12
Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.
Write 56/1000 as a decimal.
Answer:
0.056
Step-by-step explanation:
Answer:
56/1000 = .056
Step-by-step explanation:
56/100 = .56
56/1000 = .056
56/10000 = .0056
Someone help pleasee need it asappp anyone??
Answer:
c i think
Step-by-step explanation:
im sorry if its wrong
Which of the following numbers has the most number of significant digits?
A. 1.56
B. 23.07755
C. 500.005
D. 1.005
Answer: B. 23.07755 has 7 significant digits
Step-by-step explanation:
3^4 + 4 ⋅ 5 = ____. (Input only whole numbers.)
Answer:
101.
Step-by-step explanation:
3^4 equals 81.
4 times 5 is 20.
81 plus 20 equals 101.
Your answer is 101.
Estimate 16.82-8.264 by first rounding each number to the nearest tenth.
pls help i need the right answer!
Answer:
so the answer is about 8.40
Steps
--------------------------------------------------------------------------------------------------------------
find the number in the tenth place and look one place to the right for the rounding digit. Round up if the number is greater than or equal to 5 but since 2 is less than 5, stays the same
16.820⇒16.82
--------------------------------------------------------------------------------------------------------------
8.264⇒8.364
Remember round up if the number is greater than or equal to 5 and round down if the number is less than 5.
--------------------------------------------------------------------------------------------------------------
now that we have rounded everything. It is time to estimate 16.82-8.364.
16.82 is close to 16.80 and 8.364 is close to 8.40.
16.80-8.40=8.40
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
16, 80,400,...
16,80,400,...
\text{Find the 6th term.}
Find the 6th term.
Given:
The sequence is:
[tex]16,80,400,...[/tex]
To find:
The 6th term of the given sequence.
Solution:
We have,
[tex]16,80,400,...[/tex]
Here, the first term is:
[tex]a=16[/tex]
The ratio between consecutive terms are:
[tex]\dfrac{80}{16}=5[/tex]
[tex]\dfrac{400}{80}=5[/tex]
The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.
The nth term of a geometric sequence is:
[tex]a_n=a(r)^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Substitute [tex]a=16,r=5,n=6[/tex] to get the 6th term.
[tex]a_6=16(5)^{6-1}[/tex]
[tex]a_6=16(5)^{5}[/tex]
[tex]a_6=16(3125)[/tex]
[tex]a_6=50000[/tex]
Therefore, the 6th term of the given sequence is 50000.
Two numbers total 70 and have a difference of 12. Find the two numbers.
Answer:
58 and 12
Step-by-step explanation:
CHECK:
58 + 12 = 70
70 - 58 = 12
NOW GO LISTEN TO ALEC BENJAMINS NEW SONG, THE WAY YOU FELT
Answer:
x is 41 and y is 29
Step-by-step explanation:
x plus y is 70 and x minus y is 12
subtract 2 from 1
2y=58
y is 29 and x is
29 plus x is 70 so.....x is41
the nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.
please help
Step-by-step explanation:
a_n=6-n
➜a_1=6-1
➜5➜,a_2=6-2
➜4➜a_3=6-3
➜3➜a_20=6-20
➜-14The SOLT missionaries are throwing a birthday party. There is obviously cake. Mr. Daniel only wants 1/2 of a piece. Mr. Richie eats half of Mr. Daniel's leftover. Ms. Laura eats half of the remaining piece. Ms. Kimberly eats half of Ms. Laura's leftover. Seven more missionaries keep sharing the piece of cake following the same pattern. If Ms. Sarah is the last of the seven, how big is the piece that Ms. Sarah eats?
Answer:
1/ 112
Step-by-step explanation:
1-½ = ½ ( Mr. Daniel's leftover)
½×½= ¼ ( Mr. Richie)
½×¼= 1/8 ( Ms Laura)
½×1/8 = 1/16 ( Ms. Kimberly)
1/7 × 1/16 = 1/ 112 (the last turn)
so, Ms. Sarah eats 1/ 112 of a piece.
Does anyone know the answer?
Answer:
D is the right graph
Round 0.598 to the nearest hundredth.
Answer:
.60
Step-by-step explanation:I need brainliest for the next rank I’d appreciate it
RIGHT ANSWER GETS BRAINLIEST!!!!!
Answer:
B and C
Step-by-step explanation:
Tahnks for the brainlt
Find the volume. Use pi as part of the equation. Round to the nearest 10th
Answer:
301.4 ft.
Step-by-step explanation:
The radius of this circle is 4; the height of this circle is 6.
Using the formula, πr²h, we can plug-in the unknown values.
In the formula, 'r' means radius, 'h' means height, 'π' means pi. 3.14 is often a substitute for pi.
πr²h - π4² · 6 = 301.44.
301.44 rounded to the nearest tenth is 301.4.
Therefore, the volume of this cylinder is 301.4 ft.
$3 is what percent of $6
Answer:
50 percent
1/2 of 6 is 3
Answer:
50 percent
Step-by-step explanation:
please help me i cant get it right
Answer:
-60%
22 - 56
__________ x 100 ~ -60.7
~
56
Round 60.7
-60%
Hope this helps
-Tobie the dog <3
Answer:
61%
Step-by-step explanation:
1) We are changing the percent from 56 down to 22
2) This means that there will be a negative change in percent
3) This is because the new value (22) is smaller than the old value (56)
4) We must find the change from 56 to 22 in a percent
1) Find the difference between 56 and 22 as a number.
The difference between 56 and 22 is 34
2) Divide the result from Step 1 by the starting number 56.
34 ÷ 56 = 0.60714285714
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
0.60714285714 x 100 = 60.71
4) Round the result from step 3 to the nearest percent.
60.71 ≈ 61%
Make sure you round to the nearest whole percent. In this case it would be 61%
Use the disributive property to finish the expression that is equivalent to 12 + 4x.
12 + 4x = ___ (3 + x)
Answer:
12 + 4x = 4(3 + x)
Step-by-step explanation:
Think about what you need to multiply (3 + x) by to get 12 + 4x.
Please help out with this Geometry problem !!!
Answer:
176 i think seeing as area is multiplication
Step-by-step explanation:
Answer:
Solution given;
AB=16ft
AD=11ft
Area of triangle=½(11*16)=88ft²
Since it is pentagon
it has 5similar triangle
Area of pentagon=5×88ft²=440ft²
440ft² is a required area.
The sum of Ryann and Lori's ages is 96. Lori's age is
seven times Ryann's age. How old is Ryann?
Answer:
R = 12
L = 84
Step-by-step explanation:
R + L =96
L = 7R
R = 1R
L = 7R
1 R + 7R = 8R
R = 12
L = 84
hope it helps,
There are 20 questions in a quiz. Each correct answer scores 7 points, each wrong answer scores -4 points and each question left blank scores 0 points. Eric took the quiz and scored 100 points. How many questions did he left blank?.
He answered 16 questions correctly, and got 3 wrong answers.
==========================================================
Explanation:
Let
x = number of questions that are correct y = number of wrong answers z = number of questions left blankx,y,z are nonnegative whole numbers.
-------------------
Since there are 20 questions total, this means the first equation to set up is:
x+y+z = 20
Solving for y leads to
x+y+z = 20
y+z = 20-x
y = 20-x-z
We'll use this later.
-------------------
Another equation to set up is 7x-4y = 100 because Eric earns 7 points per correct answer and loses 4 points for each incorrect answer, and all that leads to 100 points total which was his quiz score. We'll ignore the questions he left blank since they add 0 points.
Let's plug the equation in which we isolated y
7x-4y = 100
7x-4(20-x-z) = 100
7x-80+4x+4z = 100
7x+4x+4z = 100+80
11x+4z = 180
-------------------
Now we can guess and check to see which pair of x and z values will make that last equation above true. I suggest starting with the smallest possible value of x and using that x value to solve for z.
If x = 0, then,
11x+4z = 180
11(0)+4z = 180
4z = 180
z = 180/4
z = 45
So if Eric got 0 correct answers, then he left 45 questions blank. But that isn't possible because there are only 20 questions total. So we'll ignore the case that x = 0.
If we increase x by 4, and decrease z by 11, then we get another ordered pair solution to this equation
So another solution is (x,z) = (4,34)
Note that
11x+4y = 180
11(4) + 4(34) = 180
But like before, z = 34 isn't possible since 20 is the max.
Increase x by 4 again, and drop z by 11 to get (x,z) = (8,23). Again we run into the same issue as before.
Increase x by 4 again, and decrease z by 11 to get (x,z) = (12, 12). Now we have both x and z smaller than 20, but note how x+z = 12+12 = 24 which exceeds the total number of questions. So we rule this case out as well.
Do another round of "increase x by 4, decrease z by 11" to get to (x,z) = (16, 1). This is the only case left because anything beyond this, z will be negative.
Luckily, this final case does work. If Eric answers x = 16 questions correctly, then he left z = 1 of them blank. That must mean y = 20-x-z = 20-16-1 = 3 questions were incorrect.
We can see that:
7x-4y = 7(16)-4(3) = 112-12= 100
meaning that (x,y) = (16,3) is a solution to 7x-4y = 100.
-------------------
To summarize, we found that the only possible solution is (x,y,z) = (16, 3, 1)
Meaning x = 16 questions were correct, y = 3 were wrong, and z = 1 question was left blank.
1) lucy is playing a game where she has to roll a fair number cube with faces labeled from 1 to 6 . what is the probability that she will roll either a 3 or a 4 on her next roll?
a) 4/6
b) 2/6
c) 3/6
d) 1/6
c
Step-by-step explanation:
this is correct
Answer:
B. That's the right answer I guesshelllppp porfavor:,)
x/9=15/2 rounded to the nearest tenth
20/8.7=5.8/x to the nearest tenth
5/16=11/x nearest tenth
x/0.06=17/0.5 to the nearest tenth
29/x=75/44
Answer:
1. x = 67.5
2. x = 2.5
3. x = 35.2
4. x = 2.0
5. x = 17.0
Step-by-step explanation:
Question 1
The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:
2x/9 = 15
2x = 9(15)
Next solve for x:
2x = 135
x = 67.5
Question 2
The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:
20x/8.7 = 5.8
20x = 8.7(5.8)
Next, solve for x:
20x = 50.46
x = 2.523
Round to the nearest tenth:
x = 2.5
Question 3
The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:
5x/16 = 11
5x = 11(16)
Next, solve for x:
5x = 176
x = 35.2
Question 4
The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:
0.5x/0.06 = 17
0.5x = 17(0.06)
Next, solve for x:
0.5x = 1.02
x = 2.04
Round to the nearest tenth:
x = 2.0
Question 5
The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:
29(44)/x = 75
29(44) = 75x
Next, solve for x:
1276 = 75x
x = 17.0133
Round to the nearest tenth:
x = 17.0
HELPPPPPP PLEASEEEEEEEEEE
Answer:
Step-by-step explanation:
m*n= [tex]\sqrt{x} mn-n2, then 5 *3\\[/tex]
11. Which expression is equivalent to
8x - 2y + x + x?
a. 4x
b. 8x
c. 6x - 2y
d. 10x - 2y
Answer:
[tex]10 x - 2y[/tex]
Step-by-step explanation:
[tex]8x−2y+x+x \\ 9x−2y+x \\ 10x−2y[/tex]
Hope it is helpful...The temperature in Juneau, Alaska at noon was -8 degrees Celsius. By 1 PM, the temperature increased by 10 degrees. Draw a number line to represent the situation and determine the temperature at 1 PM.
Answer:
2 degrees
Step-by-step explanation:
1) The temperature at 12:00 PM was -8 degrees celsius
2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM
3) -8 + 10 = 2
4) The temperature at 1:00 PM was 2 degrees celsius
5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end
6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius
7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM
I hope this helps :D
Answer:the answer is -4f
Step-by-step explanation:
Help me please ASAP!!!
Answer:
answer c
Step-by-step explanation:
Answer:
D. 116 square cm
Step-by-step explanation:
This is because the formula to find the area of a triangle is h(b/2). 15 divided by 2 is 7.5 and 7.5 multiplied by 4 is 30. The square's area is 16 and the parallelogram 70. 70 + 30 + 16 = 116.
find the
percent of change.
35 pounds to 42 pounds
Answer:
I think it is 20%.
Step-by-step explanation:
35 * 0.2 = 7
35 + 7 = 42
4. The route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet).
Spectators are usually evenly distributed along both sides of the route. Along one
side of 50 feet of the route, you count 15 children. Estimate the number of children
who attended the parade.
PLEASEEE HELP
Answer:
The estimated number of children who attended the parade is 6,336.
Step-by-step explanation:
Since the route for Millburn's Fourth of July parade stretches 2 miles (10,560 feet), and spectators are usually evenly distributed along both sides of the route, and along one side of 50 feet of the route, you count 15 children, to estimate the number of children who attended the parade, the following calculation must be performed:
(10,560 / 50) = 211.2
211.2 x 15 x 2 = X
211.2 x 30 = X
6.336 = X
Therefore, the estimated number of children who attended the parade is 6,336.
plz help and show work plz
Answer:
x=5,1,4
Step-by-step explanation:
a