Answer:
x=12
Step-by-step explanation:
16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12
Decimal expansion of 2 1/6
The decimal expansion of 2 1/6 is 2.167
How to determine the decimal expansion?The expression is given as:
2 1/6
Rewrite the expression as:
2 + 1/6
Express 1/6 as decimal
2 + 0.167
Evaluate the sum
2.167
Hence, the decimal expansion of 2 1/6 is 2.167
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14 A ladder 10m long leans against a wall and make 45" with the ground. What is the height of the wall? 14 A ladder 10m long leans against a wall and make 45 " with the ground . What is the height of the wall ?
Answer:
A 10m ladder is leaning against a wall. The ladder makes an angle of 78o with the ground. How high up the wall does the ladder reach? Please include a diagram in the answer.
Th function you need is the sine function. The sine of 78° is about 0.978. That is the ratio of the opposite side (wall) over the hypotenuse (ladder) of the right triangle in this problem.
10 m · sin 78° = 10 m · 0.978 = 9.78 meters.
The ladder reaches 9.78 meters up on the wall.
Step-by-step explanation:
A tree is making a shadow 22 feet long. The angle of elevation from the tip of
the shadow to the top of the tree is 50°.
feet. Round your answer to the nearest
The height of the tree is about
foot.
Answer:
26.2 feet
Step-by-step explanation:
tan(50°) = h/22
h = 22 × tan(50°) = 26.2 feet
S
2
Question 10 of 10
What is the value of p?
90
125
OA. 125°
O B. 55°
O C. 45°
O D. 35°
SUBMIT
Answer:
D
Step-by-step explanation:
You do 180-125 to find the angle (because its a straight line) and then you get 55, then you have a right angle so you have 90 and then you do:
55+90+p=180
and then you get
145 +p=180
180-145=35
p=35
Use the Change of Base Formula to solve each equation.
3x = 27.3
Answer:
9.1
Step-by-step explanation:
3(9.1)=27.3
27.3÷3=×
×=9.1
Which is the correct classification of StartRoot 18 EndRoot?
irrational number, non-repeating decimal
irrational number, terminating decimal
rational number, terminating decimal
rational number, non-repeating decimal
The correct classification for √18 is an irrational number, non-repeating decimal.
The correct classification of √18 is an irrational number.An irrational number is a number that cannot be expressed as a fraction (ratio) of two integers and cannot be written as a terminating or repeating decimal.
√18 cannot be simplified to a fraction, and when expressed as a decimal, it is a non-repeating decimal that continues indefinitely without a pattern.
Therefore, the correct classification for √18 is an irrational number, non-repeating decimal.The number √18 is the square root of 18. An irrational number is a number that cannot be expressed as a fraction of two integers (a/b) where a and b are integers and b is not equal to zero.
When we calculate the square root of 18, we find that it is approximately 4.24264. However, this decimal representation continues indefinitely without repeating or terminating. It does not settle into a pattern of digits that repeats infinitely like a rational number or terminate after a finite number of decimal places.
Since √18 cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating, it falls under the category of an irrational number.
Therefore, the correct classification of √18 is an irrational number, specifically a non-repeating decimal.
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Help please
charles has $2.90 in coins. if he only has dimes and quarters and a total of 17 coins, how many quarts does he have?
Answer:
8
Step-by-step explanation:
8*25=2.00
2.00+.90=2.90
pls help me solve for x in this equation! + brainest
Answer:
x = -3
Explanation:
[tex]\rightarrow \sf \sqrt[3]{\sf 3x + 1} = -2[/tex]
[tex]\rightarrow \sf \sf 3x + 1 = (-2)^3[/tex]
[tex]\rightarrow \sf \sf 3x + 1 = -8[/tex]
[tex]\rightarrow \sf \sf 3x = -8-1[/tex]
[tex]\rightarrow \sf \sf 3x = -9[/tex]
[tex]\rightarrow \sf \sf x = -3[/tex]
Answer:
[tex]\sqrt[3]{3x+1} =-2\\(\sqrt[3]{3x+1})^{3} =(-2)^{3} \\3x+1=-8\\3x=-9\\x=-3[/tex]
Hope it helps!
an airplane that is flying at an altitude of 30 000 ft is beginning to descend at a rate of 1000 feet per minute. a helicopter is beginning its trip, starting at an altitude of zero feet. the helicopter ascends more slowly than the airplane, going up at a rate of 500 feet per minute. after how many minutes will the airplane and the helicopter be at the same altitude
Using linear functions, it is found that the airplane and the helicopter will be at the same altitude after 20 minutes.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The functions that gives the height of the airplane and the helicopter, after t minutes, is given by:
A(t) = 30000 - 1000t.H(t) = 500t.They will be equal when:
A(t) = H(t).
Hence:
30000 - 1000t = 500t
1500t = 30000
t = 30000/1500
t = 20 minutes.
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A. 6x 10y=9
B. 6x=9
C. -10y = 15
D. 2x= 15
Answer:
6x = 9
Step-by-step explanation:
4x-5y = 12
2x+5y = -3
Add the equations together
4x-5y = 12
2x+5y = -3
-------------------
6x + 0y = 9
6x = 9
Answer:
B. 6x = 9
Step-by-step explanation:
4x - 5y = 12
+ 2x + 5y = -3
____________
6x + 0 = 9
Hence, option B. 6x = 9 is the correct answer.
A hibernating animal lost 4 pounds. Write a signed number to represent this weight change
Answer: -4 pounds
Step-by-step explanation:
The hibernating animal lost 4 pounds. This means we are 4 below wherever the animal's weight was in the beginning. This can be represented with a negative number;
-4 pounds
20 people have volunteered for a 5-person neighborhood advocacy committee. 10 of them are homeowners and the rest are local business owners. How many ways are there to select the 5-person committee such that exactly 2 local business owners are represented?
We have that the ways 5-person committee such that exactly 2 local business owners are represented is mathematically given as
N=5940
What is Probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The Probability that 2 local business owners are represented on the committee is given by finding the ways they can be seated amongst the 5
Generally, 2 local business owners are represented is mathematically given as
N=11C3 x 9C2
Therefore
N=165 x 36
N=5940
Therefore the way 5-person committee such that exactly 2 local business owners are represented is mathematically given as
N=5940
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What is the value of x in the equation 1/5x - 2/3y=30 when y= 15
Substituting in y=15,
[tex]\frac{1}{5}x-\frac{2}[3}(15)=30\\\\\frac{1}{5}x-10=30\\\\\frac{1}{5}x=40\\\\x=\boxed{200}[/tex]
Share £20 in the ratio 2:3
Answer:
£8 : £12
Step-by-step explanation:
2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12
(4₊√₋81)₋(9₊√₋9) i cant resolve this equation. thanks for help
The question can't be solved because we can't have negative sign under square root
Answer:
-5 +6i
Step-by-step explanation:
Square roots of negative numbers are imaginary. This is asking for the difference of two complex numbers. A suitable calculator can show you what that is.
__
simplify radicalsWe know that √(-1) ≜ i. This means the radicals can be simplified to ...
[tex]\sqrt{-81}=\sqrt{9^2(-1)}=9\sqrt{-1}=9i\\\\\sqrt{-9}=\sqrt{3^2(-1)}=3\sqrt{-1}=3i[/tex]
So the expression becomes ...
(4 +9i) -(9 +3i)
combine termsLike terms can be combined in the usual way. For the purpose here, i can be treated as though it were a variable.
(4 +9i) -(9 +3i) = 4 +9i -9 -3i
= (4 -9) +(9 -3)i
= -5 +6i
0000
O
1. Simplify 3 + 2 - 1
+6
2-5
03 A
О 25
Answer:
10
Step-by-step explanation:
3+2-1+6=5-1+6=4+6=10
The price of an item has dropped to 27$ today. Yesterday it was 90. Find the percentage decrease
The percentage decrease would be 70 percent.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
The price of an item has dropped to 27$ today. Yesterday it was 90.
90 - 27 = 63
The percentage decrease;
63 / 90 x 100= 70%
Hence, The percentage decrease would be 70 percent.
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3. The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
(c) When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
Answer:
a
Step-by-step explanation:
Cancel tickets for his church is carnival for a total of 2820 children’s tickets cost three dollars each an adult tickets cost five dollars each the number of children so is 30 more than three times the number of adult tickets sold how many children tickets and how many adult tickets did he sell
Taking into account the definition of a system of linear equations, the number of adult tickets sold is 615 and the number of children's tickets sold is 195.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
Amount of children tickets and adult tickets soldIn this case, a system of linear equations must be proposed taking into account that
"x" is the amount of children tickets sold."y" is the amount of adult tickets sold.Galen sold tickets of his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. The number of children’s tickets sold was 30 more than 3 times the number of adult tickets sold.
So, the system of equations to be solved is
[tex]\left \{ {{3x+5y=2820} \atop {x=3y+30}} \right.[/tex]
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the second equation in the first you get:
3×(3y+30)+5y=2820
Solving:
3×3y+3×30+5y=2820
9y+90+5y=2820
9y+5y=2820 - 90
14y= 2730
y= 2730÷ 14
y= 195
Remembering that x=3y +30, then:
x= 3×195 + 30
Solving
x=585 +30
x=615
Finally, the number of adult tickets sold is 615 and the number of children's tickets sold is 195.
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Complete this shape so that it is symmetrical about the reflection line
A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. The shape can be completed as shown below.
What is symmetry?A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. It signifies that one side is a mirror image of the other. The line of symmetry is the imaginary line or axis along which you can fold a figure to produce the symmetrical halves.
The shape can be completed as shown below, so that the complete shape is symmetrical about the given axis.
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What is the equation of a circle with center (8, 6) and radius 5?
The equation of the circle is [tex](x-8)^2 + (y-6)^2 = 25[/tex].
The Function h is defined by the following rule.
h(x) = 2x-2
Complete the function table.
Answer:
[tex]\fbox {See below} \downarrow[/tex]
Step-by-step explanation:
[tex]\textsf {The function is :}[/tex]
[tex]\boxed {h(x) = 2x - 2}[/tex]
[tex]\textsf {Finding the missing values :}[/tex]
[tex]\mathsf {h(-4) = 2(-4) - 2 = -10}[/tex][tex]\mathsf {h(-2) = 2(-2) - 2 = -6}[/tex][tex]\mathsf {h(1) = 2(1) - 2 = 0}[/tex][tex]\mathsf {h(4) = 2(4) - 2 = 6}[/tex][tex]\mathsf {h(5) = 2(5) - 2 = 8}[/tex][tex]\textsf {The table :}[/tex]
[tex]\left[\begin{array}{ccc}x&f(x)\\-4&-10\\-2&-6\\1&0\\4&6\\5&8\end{array}\right][/tex]
The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit. The price elasticity of demand for this product is approximately
The price elasticity of demand for this product is approximately will be 1.
What is the price elasticity?The price elasticity is given as
[tex]\rm PE = \dfrac{\dfrac{Q_f-Q_i}{Q_f+Q_i}}{\dfrac{P_f-P_i}{P_f+P_i}}\\\\\\[/tex]
The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit.
The price elasticity of demand for this product is approximately will be
[tex]\rm PE = \dfrac{\dfrac{1500-1000}{1500+100}}{\dfrac{1.5-1}{1.5+1}}\\[/tex]
On further solving, we have
PE = (500 / 2500) x (2.5 / 0.5)
PE = 1
The price elasticity of demand for this product is approximately will be 1.
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The measure of an interior angle of a regular polygon is 120°. What is the measure of each exterior angle? The polygon has how many sides?
Answer:
60°, arms 6
Step-by-step explanation:
let the total arms = n
total generated angles in a regular polygon is = (n-2)×180
now,
(n-2)×180 = 120 n
or, 180n - 360 =120n
or, 60n = 360
or, n = 6
Is 7/7 a proper fraction, an improper fraction, a mixed number, or decimal fraction?
None of these choices are correct.
O a decimal number
an improper fraction
O a mixed number
O a proper fraction
Solve the following system of equations. -7x+5y=-11; -4x+3y= -7
Answer:
X = (-2) Y = (-5)- 7x + 5y= (-11) -------(1)
-4x + 3y,= (-7) ----------(2)
Solving by using elimination methodMultiplying eq 1 with 3 and eq 2 with 5
3( -7x + 5y) = 3(-11)
5(- 4x + 3y) = 5(-7)
-21x + 15y = (-33)
-20x + 15y,= (-35)
Subtracting both the eq.
-x = 2
x = (-2)
Putting this value in eq. 1
- 7x + 5y= (-11)
-7(-2)+ 5y= (-11)
14 + 5y = (-11)
5y = (-11) - 14
5y= (-25)
y = (-5)
The diameter of a bicycle wheel is 63 cm. How much distance will it cover in 20revolutions?
Answer:
1256 cm
Step-by-step explanation:
First we must find the perimeter, because the perimeter is equal to 1 revolution.
The perimeter of any circle is Pi(Diameter)
3.14*20
62.8 cm is the perimeter of the bike wheel.
Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:
1256 cm
Please state the equation of the line in standard form
Answer:
See below
Step-by-step explanation:
Slope = rise / run
from 0,-1 to 1.5 , 0
this is 1 / 1.5 = 2/3
y xis intercept = -1
y = 2/3 x -1 Slope intercept form
2/3 x - y = 1 another form
2x - 3y = 3 Standard form (I think this is 'standard form' ....yah?)
Photo is attached, please help! Will give brainliest
Here you go! please make sure you read it all too understand it, and make sure you try work before asking for help :D Have a awesome day/night
Answer:735
Step-by-step explanation:I was hoping you’d have another. Dv/dt=d/dt((7+5t)^3)=3x5x((7+5t)^2)=15x49. Does this work?
What is the value of 6¹?
6° = 1
6 = 6
6 = 36
6 = 216
Answer:
6=6
Step-by-step explanation:
This is because the exponent is multiplying it by one so technically you don't have to do anything but multiply 6*1
Hope this helps
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Fun fact: ANY number powered to the}\\\huge\textbf{1 it automatically that number(just }\\\huge\textbf{regular multiplication).}[/tex]
[tex]\mathsf{6^1}\\\\\\\mathsf{\approx 6\times1}\\\\\\\large\text{So, you're making it 6 ONE TIME}\\\\\mathsf{= \bf 6}\\\\\\\\\\\\\huge\text{Thus, your answer should be: \boxed{\mathsf{Option\ B.\ 6^1 = 6}}}\huge\checkmark[/tex]
[tex]\large\text{Random\ note\ for\ rest\ of\ equations:}\\\\\mathsf{6^0\rightarrow \bf 1}\\\\\mathsf{6^2\rightarrow 6\times 6 \rightarrow \bf 36}\\\\\mathsf{6^3\rightarrow 6\times6\times6\rightarrow 36\times6\rightarrow \bf 216}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
