6c - 8 - 2c - 16
What is the solution
Answer:
4 (c - 6)
Step-by-step explanation:
Simplify the following:
6 c - 2 c - 16 - 8
Hint: | Group like terms in 6 c - 2 c - 16 - 8.
Grouping like terms, 6 c - 2 c - 16 - 8 = (6 c - 2 c) + (-8 - 16):
(6 c - 2 c) + (-8 - 16)
Hint: | Combine like terms in 6 c - 2 c.
6 c - 2 c = 4 c:
4 c + (-8 - 16)
Hint: | Evaluate -8 - 16.
-8 - 16 = -24:
4 c + -24
Hint: | Factor out the greatest common divisor of the coefficients of 4 c - 24.
Factor 4 out of 4 c - 24:
Answer: 4 (c - 6)
What is the diffrence between expression and an equation? I also need an example
Answer:
The difference between an expression and an equation is that an expression has no equal sign whereas an equation does.
Step-by-step explanation:
You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 4 centimeters, what will be the exact area of each hexagonal shape?
Which of the following is a correct interpretation of the expression -7- (-11)?
Choose 1 answer:
Start at -7 on the number line and move 11 to the left.
Start at -7 on the number line and move 11 to the right.
Start at -11 on the number line and move 7 to the left.
Start at -11 on the number line and move 7 to the right
+
Answer:
B. Start at -7 on the number line and move 11 to the right.
Step-by-step explanation:
Given:
- 7 - (-11) expressionWe can add or remove only positive numbers on the number line to get it correct, so we need to open the parenthesis. When evaluated we get:
-7- (-11) = - 7 + 11 = 4
Correct interpretation of of this expression is:
Start at -7 and add 11, thus move 11 points to the right, to get 4 as final point.Correct choice is:
B. Start at -7 on the number line and move 11 to the right.What is 3/4 divided by 4/15
Answer:
2.8125
Step-by-step explanation:
A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table: Product Function Year 1 (dollars) Year 2 (dollars) Year 3 (dollars) Product 1 g(x) = 2x 2 4 8 Product 2 h(x) = x2 + 12 13 16 21 Based on the data in the table, for which product does the price eventually exceed all others, and why? Product 1, because it has a lower start value Product 2, because it has a greater Year 3 value Product 1, because the function is exponential Product 2, because the function is exponential
Answer:
Product 1, because the function is exponential.
Step-by-step explanation:
If you take set the equation to 9 years. You will see that product one would be 2^9 = 512 and Product 2 would be 9^2 + 12 = 93. Product one will continue to grow exponentially while Product two will not grow as much in comparison.
Answer:
Product 2, because the function is exponential
Step-by-step explanation:
i got it right on my quiz
The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Answer:
Step-by-step explanation:
Boys : Girls = 7 : 8
Let the number of boy = 7x
The number of girls = 8x
Number of boys after 20% increase = 120% of 7x
= 1.2 * 7x
= 8.4 x
Number of girls after 10% increase = 110% of 8x
= 1.1 * 8x
= 8.8x
After increase in number of boys & girls = 8.4x : 8.8x
= 84 : 88 { reduce to simplest form by giving by 4th table}
= 21 : 22
how do I solve this?
Answer:
71°
142°
Step-by-step explanation:
[tex] \because QS \: is \: the \: bisector \: of \: \angle \: PQR\\
\therefore m\angle RQS =m\angle PQS\\
\because m\angle RQS = 71\degree...(given) \\
\huge \red{ \boxed{\therefore m\angle PQS = 71\degree}} \\ \because \: m\angle \: PQR = m\angle PQS + m\angle RQS \\ \because \: m\angle \: PQR = 71\degree + 71\degree \\ \huge \purple{ \boxed{\therefore \: m\angle \: PQR = 142\degree}}[/tex]
A plumber charges a fixed fee for coming to your house, then charges a fixed amount per hour on top of this. X= the time the job takes in hours. Y = the total cost of the plumber's time in dollars.
Step-by-step explanation:
This problem expects us to model the equation for the total cost of the services of the plumber given the conditions stated.
Say the fixed amount charged for coming to your house is $10
say the fix amount charged per is $3
and the time spent to do the job is X
Hence the scenario can be modeled as
[tex]Y= 3x+10[/tex]
the equation is similar to the equation of a straight line
[tex]Y= mx+c[/tex]
2. Simplify the fraction to its simplest form. 54 75
Answer:
18/25
Step-by-step explanation:
=54÷375÷3=18/25
=18/25
Select the outlier in the data set.
58
12
74
82
89
95
76
84
98
91
77
85
96
)) If the outlier were removed from the data set, would the mean increase or decrease?
increase
decrease
Answer:
12, Increase
Step-by-step explanation:
12 is by far the lowest in the set, and removing the number would raise the mean.
factorise 3x²+9x First person to answer gets brainliest!!
Answer
[tex] \boxed{\mathsf{3x(x + 3)}}[/tex]
Step by step explanation
[tex] \mathsf{3 {x}^{2} + 9x}[/tex]
Take 3x as common
⇒[tex] \mathsf{3x(x + 3)}[/tex]
Hope I helped!
Best regards!
Answer:
Step-by-step explanation:
Factor 3x out of 3x^2=3x(x)-9x=Factor 3x out of 9x=3x(x)+3x(-3)=factor 3x out of 3x(x)+3x(-3). =3x(x-3).
A boutique in Riverside specializes in leather goods for men. Last month, the company sold 25 wallets and 62 belts, for a total of $3,150. This month, they sold 78 wallets and 19 belts, for a total of $5,467. How much does the boutique charge for each item? The boutique charges $___ for a wallet, and $___ for a belt.
Answer:
The boutique charges $64 for a wallet, and $25 for a belt.
Step-by-step explanation:
We can write two equations using the information we are given. The we solve the system of equations to find the prices.
Let w = price of 1 wallet.
Let b = price of 1 belt.
"Last month, the company sold 25 wallets and 62 belts, for a total of $3,150."
25w + 62b = 3150
"This month, they sold 78 wallets and 19 belts, for a total of $5,467."
78w + 19b = 5467
We now have the following system of 2 equations in 2 unknowns.
25w + 62b = 3150
78w + 19b = 5467
We will use the substitution method.
Solve the first equation for w.
25w + 62b = 3150
25w = -62b + 3150
w = -62/25 b + 126
Now substitute w with -62/25 b + 126 in the second equation, and solve for b.
78w + 19b = 5467
78(-62/25 b + 126) + 19b = 5467
-4836/25 b + 9828 + 19b = 5467
-4836/25 b + 19b = -4361
Multiply both sides by 25.
-4836b + 475b = -109,025
4361b = 109,025
b = 25
Now we substitute 25 for b in the first original equation and solve for w.
25w + 62b = 3150
25w + 62(25) = 3150
25w + 1550 = 3150
25w = 1600
w = 64
Answer: The boutique charges $64 for a wallet, and $25 for a belt.
What is the solution set of the equation using the quadratic formula? x2+6x+10=0 {−3+2i,−3−2i} {−6+2i,−6−2i} {−3+i,−3−i} {−2i,−4i}
Answer:
The solution set of the quadratic function [tex]x^{2}+6\cdot x +10[/tex] is [tex]\{-3+i,-3-i\}[/tex] .
Step-by-step explanation:
Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:
[tex]a\cdot x^{2}+b\cdot x + c = 0[/tex]
Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:
[tex]x_{1,2} = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
Given that [tex]a = 1[/tex], [tex]b = 6[/tex] and [tex]c = 10[/tex], the roots of the polynomial are, respectively:
[tex]x_{1,2} = \frac{-6\pm \sqrt{6^{2}-4\cdot (1)\cdot (10)}}{2\cdot (1)}[/tex]
[tex]x_{1,2} = -3\pm i[/tex]
[tex]x_{1} = -3+i[/tex]
[tex]x_{2} = -3 -i[/tex]
The solution set of the quadratic function [tex]x^{2}+6\cdot x +10[/tex] is [tex]\{-3+i,-3-i\}[/tex] .
alma walks around her neighborhood according to the path below. in total, she walks 50 blocks.
A. Write an equation that represents Alma's walk.
B. Solve the equation for x.
Answer:
Hey there!
The equation is x+2x+5+6x-17+3x+2, or 12x-10
12x-10=50
12x=60
x=5
Let me know if this helps :)
Someone me help plz!!!
Answer:
(D) [tex]3 \pm i\sqrt{3}[/tex]
Step-by-step explanation:
We can solve this using the quadratic formula, where a is 1, b is -6, and c is 12.
[tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\frac{-(-6)\pm\sqrt{6^2-4\cdot1\cdot12}}{2\cdot1}\\\\\frac{6\pm\sqrt{36-48}}{2}\\\\\frac{6\pm\sqrt{-12}}{2}\\\\\frac{6\pm i\sqrt{12}}{2}\\\\3\pm i\sqrt{3}\\\\[/tex]
Hope this helped!
Dimensional analysis: 1.35 kilometers per second= ? miles per hour
Answer:
Hey there!
1.35 km/s would equal 3020 miles per hour.
Let me know if this helps :)
Answer:
50.2 miles/h.
Step-by-step explanation:
Turn km to miles:
1 km = 0.621 miles
1.35 km = ?
1.35 × 0.621 = 0.838 miles/s
0.838 miles = 1 second
? = 1 hour
1 hour = 60 minutes
60 × 0.838
= 50.28 miles/h
Hope this is helpful.
In STU, M\S = (6x – 15)°, m\T = (2x − 2)°, and m\U = (4x – 7). What is the value of x? [( pic added above])
Answer:
Hey there!
I see you have to right idea, the first step is to write the equation: 6x-15+2x-2+4x-7=180. We can simplify this to 12x-24=180
Solving for x, we get that x=17.
Let me know if this helps :)
The value of x is 17.
What is Angle Sum Property?According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.
Given:
<S = (6x – 15)°, <T = (2x − 2)°, and <U = (4x – 7).
Now, Using Angle Sum Property
<S+ <T + <U= 180
6x - 15 + 2x -2 + 4x - 7= 180
12x - 24= 180
12x = 204
x= 204/12
x= 17
Hence, the value of x is 17.
Learn more about angle sum Property here:
https://brainly.com/question/4316040
#SPJ5
1.) 3/9 + 2/9
2) 7/6 + 1/6
3.) 2/8 + 3/2
4.) 1/9 + 2/3
can you help I have to add fractions ..
Answer:
1. 5/9
2. 8/6 or 1 and 2/6
3. 1 3/4
4. 7/9
What is the simplest form of this expression?
3(-3y + 1) + 5
Answer:
8-9y
Step-by-step explanation:
(-3*3y)+(3*1)+5
=-9y+3+5
=8-9y
Answer:
− 9 y + 8
Step-by-step explanation:
Apply the distributive property.
3(−3y)+3⋅1+5
Multiply −3 by 3.
−9y+3⋅1+5
Multiply 3 by 1.
−9y+3+5
Add 3 and 5 .
− 9 y + 8
tery po
Find the volume of the cylinder.
Either enter an exact answer in terms of or use 3.14 for .
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Answer:
150.72 units³
Step-by-step explanation:
volume = πr²h
= 3.14×4²×3
= 150.72
What is e=mc^2 for m?
2.7(-5v-8) Polynomials
Answer:
-13.5v-21.6
Step-by-step explanation:
Distribute Rule: a(b+c) = ab+ac
2.7(-5v-8)
= 2.7*(-5v) + 2.7(-8)
= -13.5v-21.6
The angle of elevation of the top of a tree is 60°. If the point of observation is 4m from the foot of the tree. How far is the point from the top of the tree?
Answer:
8m
Step-by-step explanation:
x = hypotenuse since they want the point of observation to the top of the tree
cos 60 = 4/x
x = 4 / cos 60
x = 8m
A jet travels 2301 miles against the wind in 3 hours and 2811 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind
Answer:
The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.
Step-by-step explanation:
Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:
Against the wind
[tex]v -u = \frac{\Delta x_{1}}{\Delta t_{1}}[/tex]
With the wind
[tex]v +u = \frac{\Delta x_{2}}{\Delta t_{2}}[/tex]
Where:
[tex]v[/tex] - Speed of the jet in still air, measured in miles per hour.
[tex]u[/tex] - Speed of wind, measured in miles per hour.
[tex]\Delta x_{1}[/tex], [tex]\Delta x_{2}[/tex] - Distances travelled by jet against the wind and with the wind, measured in miles.
[tex]\Delta t_{1}[/tex], [tex]\Delta t_{2}[/tex] - Times against the wind and with the wind, measured in hours.
By adding both expressions:
[tex]2\cdot v = \frac{\Delta x_{1}}{\Delta t_{1}}+\frac{\Delta x_{2}}{\Delta t_{2}}[/tex]
[tex]v = \frac{1}{2}\cdot \left(\frac{\Delta x_{1}}{\Delta t_{1}} + \frac{\Delta x_{2}}{\Delta t_{2}} \right)[/tex]
Given that [tex]\Delta x_{1} = 2301\,mi[/tex], [tex]\Delta t_{1} = 3\,h[/tex], [tex]\Delta x_{2} = 2811\,mi[/tex] and [tex]\Delta t_{2} = 3\,h[/tex], the speed of the jet is:
[tex]v = \frac{1}{2}\cdot \left(\frac{2301\,mi}{3\,h}+\frac{2811\,mi}{3\,h} \right)[/tex]
[tex]v = 852\,\frac{mi}{h}[/tex]
The rate of the jet in still air is 852 miles per hour.
Lastly, the rate of the wind is:
[tex]u = \frac{\Delta x_{2}}{\Delta t_{2}}-v[/tex]
[tex]u = \frac{2811\,mi}{3\,h}-852\,\frac{mi}{h}[/tex]
[tex]u = 85\,\frac{mi}{h}[/tex]
The rate of the wind is 85 miles per hour.
What is the value of 30 minus 2 (7 + 2) minus 1? I NEED THIS PLZ I NEED HELP!!!!!!
Answer:
11
Step-by-step explanation:
Add 7 and 2: 7 + 2 = 9Plug 9 in: 30 - 2(9) - 1Multiply 2 and 9: 2 × 9 = 18Plug 18 in: 30 - 18 - 1Subtract the remaining numbers from each other: 30 - 18 - 1 = 11You're done! Therefore, the answer is 11.
Answer:
11
Step-by-step explanation:
I know this has already been answered but I need points, lol. i would add the step by step explanation but someone has already done so, so i dont feel the need to.
gothychan
3.) If 24 is a multiple of x, and x > 2, which of
the following could also be a multiple of x ?
(A) 5
(B) 11
(C) 14
(D) 16
Step-by-step explanation:
The answer to your question is (D) 16. This is the answer because if count by 16's it goes 16, 24, 36, etc. since 24 is a multiple its could also be x
determine how many solutions each equation has. If one solution, state the value of x.
3(+6)=3+14
Answer:
no solution
Step-by-step explanation:
if you do 3*6= 18 and 3+14 is 17 so 18=17 is not true therefore it has no solution
The median player salary for a professional football team was $446,600 in 2000 and $1,331,948 in 2008. Write a linear equation giving the median salary y in terms of the year x. (Let x = 0 represent 2000.)
Answer:
[tex]y = \$335931.5 + \$110668.5x[/tex]
Step-by-step explanation:
Given
[tex]Salary\ in\ 2000 = \$446,600[/tex] (Median)
[tex]Salary\ in\ 2008 = \$1,331,948[/tex] (Median)
Required
Determine a Linear Equation
The above question illustrates an Arithmetic Progression (AP)
The nth term of an AP is
[tex]T_n = a + (n - 1) d[/tex]
In this case;
[tex]a = Salary\ in\ 2000 = \$446,600[/tex]
[tex]n = 2008 - 2000 + 1 = 9[/tex]
[tex]T_n = Salary\ in\ 2008 = \$1,331,948[/tex]
Substitute these in the given formula
[tex]\$1,331,948 = \$446,600 + (9 - 1) d[/tex]
[tex]\$1,331,948 = \$446,600 + 8d[/tex]
Collect Like Terms
[tex]\$1,331,948 - \$446,600 = 8d[/tex]
[tex]\$885348 = 8d[/tex]
Divide both sides by 8
[tex]d = \$110668.5[/tex]
The linear equation is generated as follows;
[tex]T_n = a + (n - 1) d[/tex]
In this case;
[tex]a = Salary\ in\ 2000 = \$446,600[/tex]
[tex]d = \$110668.5[/tex]
[tex]T_n = y[/tex]
[tex]n = x[/tex]
Substitute these in the given formula
[tex]y = \$446,600 + (x - 1) * \$110668.5[/tex]
Open bracket
[tex]y = \$446,600 + \$110668.5x - \$110668.5[/tex]
Collect Like Terms
[tex]y = \$446,600 - \$110668.5 + \$110668.5x[/tex]
[tex]y = \$335931.5 + \$110668.5x[/tex]
Hence, the linear equation is
[tex]y = \$335931.5 + \$110668.5x[/tex]
Printing machine A and printing machine B print the same newspaper printout, but machine B prints at half the rate of machine A. If each machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours, what is the rate of each printing machine
Answer:
The answer is below
Step-by-step explanation:
Let us assume the rate of printing in machine A is x per hour and the rate for machine B is y. Given that machine B prints at half the rate of machine A, therefore:
y = (1/2)x (1)
Also, both machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours. Therefore:
200/x + 200/y = 4 (2)
Put y = (1/2)x in equation:
[tex]\frac{200}{x}+\frac{200}{(\frac{1}{2} )x}=4\\ \\ \frac{200}{x}+\frac{400}{x}=4\\\\Multiply\ through\ by\ x:\\\\200+400=4x\\\\4x=600\\\\x=150[/tex]
Put x = 150 in equation y:
y=(1/2)150 = 75
Therefore the rate of machine A is 150 newspapers per hour while that of machine B is 75 newspapers per hour