Find the solution to the linear equation.
9x8=9x+6
Answer:
72=9x+6
x= 7.111111111111111111111111111111111111111111111111111111111111and on
Step-by-step explanation:
Estimate each square root to the nearest tenth. 1. √10 3.4
Step 1: Estimate
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2.
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2.
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: Divide
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: Average
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: Repeat
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3.
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3.
Step 1: Estimate10 lies between perfect squares of 3^2 and 4^2. Step 2: DivideDivide 10 by 3. We get 3.33 Step 3: AverageAverage 3.33 and 3, which gives us 3.1667 Step 4: RepeatTo get a more accurate number, keep repeating step 2 and 3. You should get a final answer of 3.16.
Part B
What is the ratio of the unknown amount (x) invested in company A to the known amount ($24) invested in company B? Write the answer as a
fraction.
The ratio of the amounts is x/24.
The amount invested in company A is unknown. The amount is represented by the variable "x". The amount invested in company B is $24. We need to find out the ratio of the amount invested in company A to that of company B. We need the answer as a fraction.
Let the ratio be represented by the variable "r". A ratio compares two numbers. A ratio expresses how much of one thing there is in comparison to another. A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction denotes the number of components of a specific size.
r = x/24
Hence, the ratio of the amount invested in company A to that of company B is x/24.
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How does a domain restriction placed on a non-invertible function affect its inverse? drag a function or an interval into each box to correctly complete the statement.
A domain restriction placed on a non-invertible function affect its inverse.
Using inverse function concepts, it is found that:
The inverse of the function is [tex]y = \sqrt{x+3}-1[/tex], and the domain of the inverse function is [tex]\left[-3,\infty ][/tex]
A function will have an inverse if for each output, there is only one respective input.
The domain of the inverse is the range of the original function.
The function given is:
[tex]f(x) = (x+1)^{2} -3[/tex]
It's range is [tex]\left[-3, \infty][/tex], which will be the domain of the inverse.
To find the inverse, we exchange x and y, and isolate y, then:
[tex]y = (x+1)^{2} - 3\\ \\x = (y+1)^{2} - 3\\\\(y+1)^{2} = x+3\\ \\\sqrt{((y+1)^{2}} = \sqrt{x+3} \\\\y+1 = \sqrt{x+3}\\\\y = \sqrt{x+3} -1[/tex]
The inverse of the function is [tex]y = \sqrt{x+3} -1[/tex], and the domain of the inverse function is [tex]\left[-3, \infty][/tex].
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l
Ashley's bill for dinner at a restaurant was $100. She left a 15% tip. What was the amount
of the tip?
Answer:
Step-by-step explanation:
ashleys bill was 100 so by knowing any percentage times 100 is itself ashleys tip was $15
Answer:
the amount on the tip is 15.00$
but when you add the amount of the total cost and the tip it would be $115 dollar they spend
Step-by-step explanation:
Write the equation of the line that passes through the points (1,-3) and (3,3)
The equation of line is y = 3x - 6
Define Equation of line.
A line in geometry is a collection of points that can be stretched infinitely in two different ways. To put it another way, a line is created by continually extending the two end points in any direction. As a result, we can assert that a line lacks end points. However, because it just has length and no width, it is a one-dimensional geometric form. Based on the information provided, we can create multiple forms of equations for lines algebraically, such as point slope form, slope-intercept form, and two point form. Two Point Form Formula,y - y₁ = m (x - x₁)
We have the given points,
(1, -3) and (3, 3)
Let, (x₁ , y₁) = (1, -3) and,
(x₂, y₂) = (3, 3)
Formula for equation of line is,
y - y₁ = m (x - x₁)
Where m is slope and for that we have formula for slope is
m = (y₂ - y₁) / (x₂ - x₁)
plug in the values,
m = (3 - (-3) ) / (3 - 1)
m = 6 / 2
m = 3
Now, we get the slope. Now, just put the values in equation of line formula
y - y₁ = m (x - x₁)
y - (-3) = 3 (x - 1)
y + 3 = 3x - 3
y = 3x - 6
Hence, the equation of line is y = 3x - 6
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a month with 31 days has the same number of mondays and wednesdays.how many of the seven days of the week could be the first day of this month?
Answer:
sunday and saturday i believe
Step-by-step explanation:
lmk if it helps! :)
1.31 (a) possible coverage error: only employees in a specific division of the company were sampled. (b) possible nonresponse error: no attempt is made to contact nonrespondents to urge them to complete the evaluation of job satisfaction. (c) possible sampling error: the sample statistics obtained from the sample will not be equal to the parameters of interest in the population. (d) possible measurement error: ambiguous wording in questions asked on the questionnaire.
B. No attempt is made to contact noncorrespondents.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.Hence,B. No attempt is made to contact noncorrespondents.
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Stuart owns a window washing business. He can wash the windows on 9 houses in 4 hours. At this rate, how long would it take him to wash the windows on 45 houses? How many houses could he wash in 12 hours
Answer:
20hours;
27houses.......................
(-3, -9) and (4, -2)
What is the Linear Equation?
Pls help asap! Tysm if u do!
The equation of the line is y=x-6 when the points are (-3,-9) and (4,-2).
Given that,
The points are (-3,-9) and (4,-2).
We have to find the linear equation.
We know the formula of the equation of the line is,
y=mx+b
The slope of the line is m that is rise by run.
m=-2+9/4+3
m=7/7
m=1
The slope of the line is 1.
Now, b is intercept.
-9=1(-3)+b
-9=-3+b
b=-9+3
b=-6
The equation of the line is y=x-6.
Therefore, The equation of the line is y=x-6 when the points are (-3,-9) and (4,-2).
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A group of 60 people are going on a trip to an amusement park that has dollar coasters and water rides. The number of people who like roller coasters is 42, the number who do not like water rides is 23 and the number who do not like either kind of ride is 8. Determine which Venn diagram accurately represents the people going on the trip.
The no. of people whole likes only roller coasters is 19.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Let N(U) be the no. who likes at least one of the rides which is
N(U) = (60 - 8) = 52 as 8 people do not like either kind of ride.
Given, The number of people who like roller coasters is 42 and the number who do not like water rides is 23.
∴ The no. of people who only likes roller coasters is (42 - 23) = 19.
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Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house.
How high up, to the nearest tenth of a foot, does the ladder reach on Mary's house?
A. 14.7
B. 14.8
C. 14.9
D. 15.3
Answer:
14.7
Step-by-step explanation:
hopes this helps please mark brainliest
Find the geometric mean between each pair of numbers. 8 and 12
The Geometric Mean between the pair of numbers 8 and 12 is 4√6 .
Geometric Mean between the numbers x and y is calculated using the formula ,
GM = √(x * y),
where GM represents the Geometric Mean
In the question ,
it is given that ,
the pair of numbers are 8 and 12 .
we need to find the geometric mean between them ,
By using the Geometric Mean formula from above ,
we get ,
GM = √(8 × 12)
GM = √96
GM = 4√6
Therefore , The Geometric Mean between the pair of numbers 8 and 12 is 4√6 .
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You decide at 14 years old you want to begin saving for a car for when you're 17. It's 3 months until your 15th birthday and you can afford to put $60 a month in a savings account. How much will you have for a car on your 17th birthday?
Answer:
180
Step-by-step explanation:
If you are 14 you are 3 years away from 17 Wich would mean $60 would have to be multiplied by 3
60x3
3x6= 18
18x10= 180
(sorry if this is wrong)
Find the slope of each line.
11. through (3, 5), parallel to y = 5x-1
12. through (-0.5, 0.5), perpendicular to y = -2x - 4
The slope is 5. The slope of a line parallel to this equation will be 5, regardless of its position.
To find the line that goes through the point (3,5) that has slope = 5.
y = 5x + b
now use the point to find 'b'
5 = 5(3) + b
b = -10
perpendicular: [tex]\frac{1}{2}[/tex]
[tex]y-0.5= \frac{1}{2} \times(x + 0.5)[/tex]
[tex]y - 0.5 = \frac{1}{2}x + 0.25[/tex]
[tex]y = \frac{1}{2}x+\frac{3}{4}[/tex]
What is Slope?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
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6. A sunflower was 12 inches when first planted. Since then it has grown 34 of an inch each month.
A. Write a linear equation.
B. Identify the slope and y-intercept.
C. How tall was it after a year?
The linear equation will be y=34x+12 and the slop is 34 and y intercept is 12. And the sunflower will be 420 inches tall after a year.
Here, the sunflower was 12 inches when first planted and it grows 34 of an inch each month
So, the linear equation will be
y=34x+12
Where,
y=height
x=month
now,
the slope-intercept equation is
y=mx+c
Where,
m=slope
c=y intercept
Comparing this equation with equation (1)
We will get
m=34
c=12
so, the slope is 34 and y intercept is 12.
now,
The tree is 12 inches when it first planted and since then it grows 34 of an inch every month
So,
Height of tree after a year =12+34×12
Height of tree after a year = 12+408
Height of tree after a year = 420 inches.
Hence,
The tree will be 420 inches tall after a year.
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9
105°
C
Α΄
B
6
Calculate the measure of ZC in ABCA to the nearest tenth of a degree.
By using the law of sine, the measure of ∠C is 39°
Law of sine:
Law of sine refers the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given,
Here we have the triangle.
Now, we have to find the angle ∠C.
While we looking into the given diagram,
We have the length of,
AB = 6
AC = 9
∠B = 105°
So, based on the law of sine it can be written as,
=> sin 105° / 9 = sin x°/6
Apply the value of sin 105° = 0.97, then we get,
=> 0.97/9 = sin x° / 6
Cross multiply them, then we get,
=> 5.82/9 = sin x°
=> 0.64 = sin x°
=> x = sin⁻¹ (0.64)
=> x = 39°
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a team of three high jumpers all have a personal record that is at least 6 feet and less than 7 feet. is it necessarily true that two of the team members must have personal records that are within four inches of each other? what if there are four jumpers? heights are measured to within a precision of 1/4 inch.
The statement that two of the team members must have personal records that are within four inches of each other it is not true for three high jumpers, and true for four high jumpers.
1 foot = 12 inches
So, for three high jumpers the statement is not true. A counterexample,
First player = 6 feet
Second player = 6 feet 6 inches
Third player = 6 feet 11 inches
Thus, personal record each player have interval more than 4 inches of each other.
For four high jumpers the statement is true. Since there are 4 jumpers and 3 intervals by the pigeonhole principle, at least two of the four jumpers have intervals within four inches. For example, in the image, the new jumpers should be placed in areas A, B, C and this makes at least two of the four jumpers have an interval of four inches.
Thus, the statement is not true for three jumpers and true for four jumpers.
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salma has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. each small cup holds 12 ounces of lemonade and each large cup hold 16 ounces of lemonade. salma sold 60 cups of lemonade totaling 920 ounces. determine the number of small cups sold and the number of large cups sold
If Salma sold 60 cups of lemonade with total 920 ounces, then the number of small cups is 10 and the number of large cups is 50.
The problem can be translated into a system of linear equations.
Let:
p = the number of small cups sold
q = the number of large cups sold
"Salma sold 60 cups" can be translated into equation:
p + q = 60 (equation 1)
"totaling 920 ounces" can be translated into equation:
12p + 16q = 920 (equation 2)
Multiply equation 1 by 12 then substracted from equation 2:
12p + 16q = 920
12p + 12q = 720 _
4q = 200
q = 50
Substitute q = 50 into equation 1:
p + 50 = 60
p = 10
Hence, the number of small cups = 10, the number of large cups = 50.
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each side of a square is increasing at a rate of 6 cm/s. at what rate (in cm2/s) is the area of the square increasing when the area of the square is 16 cm2?
The area of the square increasing when the area of the square is 16 cm² by the rate of 48cm²/s.
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Here,
A = s²
(dA)/(dt)
(dA/ds)*(ds/dt)
(ds)/(dt) = 6 cm/s
When A = 16 cm²
16 = s²
s = √(16)
s = 4 cm
(dA)/(dt) = 2 × 4 × 6 = 48 cm²/s
When the square is 16 cm², its area grows by 48cm²/s, or one-fourth of its initial size.
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A salesperson's commission rate is 4%. What is the commission from the sale of %31,000 worth of furnaces
The commission on the sale of 31000 worth of furances when the rate of commission is 4% is given by 1240.
Given that, a salesperson's commission rate is 4%.
Sale of person is 31000.
So the commission of the that sales is = 31000*4% = 31000*(4/100) = 310*4 = 1240
Hence the commission of the sale is 1240.
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Select the correct equation for the following sentence: Twenty-four is the same as 31.4 times a number plus negative 8.4. 31.4n + 8.4 = 24 –8.4n + 31.4 = 24 24 = 31.4n + (–8.4) 24 – 31.4 = –8.4n
The corerect equation for the given linear equation in one variable is 24 = 31.4n + (-8.4)
What is Linear Equation in One Variable?
A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable of the form an x + b = 0 are solved using simple algebraic techniques.
Solution:
According to the word problem,
The formation of Linear Equation will be
24 = 31.4n + (-8.4)
and it can be also written as
24 = 31..4n - 8.4
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8–7. The block brake conit of a pin-connected lever and
friction block at B. The coefficient of tatic friction between
the wheel and the lever i m = 0. 3, and a torque of 5 N # m
i applied to the wheel. Determine if the brake can hold the
wheel tationary when the force applied to the lever i
(a) P = 30 N, (b) P = 70 N
If the brake can hold the wheel stationary when the force applied to the lever i
(a) P = 30 N -> No
(b) P = 70 N -> Yes
To hold lever,
x + Σ[tex]M_{O} = 0[/tex] [tex]F_{B}(0.15) - 5 = 0[/tex] [tex]F_{B} = 33.333 N[/tex]
Require
[tex]N_{B} = \frac{33.333}{0.3}[/tex]
= 111.1 N
Lever,
x + Σ[tex]M_{A} = 0[/tex] [tex]P_{Reqd.}[/tex](0.6) - 111.1(0.2) - 33.333(0.5) = 0
[tex]P_{Reqd.}[/tex] = 39.8 N
(a) P = 30 N < 39.8 N No
(b) P = 70 N > 39.8 N Yes
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Chloe is in the business of manufacturing phones. She must pay a daily fixed cost of $300 to rent the building and equipment, and also pays a cost of $75 per phone produced for materials and labor. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
The table of values and the equation for C, in terms of p, representing the total cost, in dollars are
p C(p)
0 300
1 375
2 450
3 525
4 600
and so on.
Given,
Chloe is in the business of manufacturing phones.
She pay a daily cost $300 to rent for the building and equipment.
and, also pays a cost of $75 per phone produced for materials and labor.
Now, According to the question;
How to make a table of values and the equation for C, in terms of p, representing the total cost, in dollars?
The given parameters are:
Cost per phone = $75
Fixed cost of labor and material = $300
The total cost is represented as;
C(p) = Fixed cost + Cost per phone x Number of phones
So, we have
C(p) = 300 + 75 * p
Evaluate
C(p) = 300 + 75p
Hence, Using the above equation, the table of values is
p C(p)
0 300
1 375
2 450
3 525
4 600
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Please help - giving extra points
4) The Opus Supreme Opera House has 300 seats. 90 of the seats are in the balcony.
What percent of the seats are in the balcony?
Pick the model that represents the problem.
0%
0%
90
%
?
90
What percent of the seats are in the balcony?
()
100%
300
100%
300
Answer: 30%; Second Model
Step-by-step explanation:
Since it is 90/300, simplified into 3/10
The percentage is 30% and the second model shows 3/10, the first one shows 2/5.
Members of a lacrosse team raised $1775. 50 to go to a tournament. They rented a bus for $901. 50 and budgeted $46 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
The number of players the team can bring to the tournament = 19 .
Given : amount raised by team = $1775.50
rent of bus = $901.50
budget for meal per player = $46
To find : the number of players the team can bring to the tournament
Equation :
taking bus charge as y - intercept ( since it does not depend on the no . of members riding on it )
taking meal amount as slope ( since it depends on the no . of members a team can bring to the tournament )
Let x be the no . of players a team can bring to the tournament .
Therefore , the equation is :
1775.50 = 46 x + 901.50
874 = 46 x
x = 19
Hence , the number of players the team can bring to the tournament = 19 .
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I really need the answer to this question. What is n take away 5 times by 4? or: n-5*4
Answer: n-20
Step-by-step explanation: just multiply 5 and 4.
hope this helps!
please give brainliest!
HELPPPPPPPP!!! Picture included
The equation that could be used to find the measure of angle B is Sin B = √5/5.
According to the question,
We have the following information:
We have a right-angled triangle with all its sides given.
Now, in order to find the measurement of angle B, we will use trigonometric functions. Two functions Sin and Cos are given in options. So, we will find the values of angle B using these two.
Cos B = AB/BC
Cos B = 6/3√5
Cos B = 2/√5
Now, multiplying both the numerator and denominator by √5:
Cos B = 2√5/5
Now, this equation is not given in options. So, we will find the angle using Sin.
Sin B = AC/BC
Sin B = 3/3√5
Sin B = 1/√5
Now, multiplying both the numerator and denominator by √5:
Sin B = √5/5
Hence, the correct option is B.
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What is
66/200 as a decimal
Answer:
0.33
Step-by-step explanation:
hope this helps :)
reflect shape A in the x-axis
Answer:
points: (4,-1) (1,-1) (4,-3)
Step-by-step explanation:
