Answer:
x = 8
Step-by-step explanation:
Given
3(x + 1) + 6 = 33 ( subtract 6 from both sides )
3(x + 1) = 27 ( divide both sides by 3 )
x + 1 = 9 ( subtract 1 from both sides )
x = 8
If y’all in 6 grade help each other out with the answer
Answer:
You got it, I have been busy and I am glad to see someone feeling the same way as me!
Answer:
what the question
Step-by-step explanation:
Which expression is equivalent to 5/2 (2x+1)
Answer: 5x + 5/2
Step-by-step explanation:
A rectangular prism is shown below.
What is the volume of the rectangular prism?
A. 260 cm
B. 240 cm
C. 220 cm
D. 200 cm
200 sq. cm. or 200^3
10x5=50
50x4=200
Danny draws a triangle using three angles each measuring 60°. Which statement can be made about Danny's triangle?
Responses
The statement that can be made about Danny's triangle is D. Danny's triangle could be any equilateral triangle
What is an equilateral triangle?An equilateral triangle, which is also referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle.
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
In conclusion, the correct option is D.
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lisa and daisy work at a hair salon. the salon charges $18 fir a hair styling session with lisa and $12 for a session with daisy. the income on a certain day is projected to be $216. this situation can be represented by the equation 18x+12y=216, where x is the number of lisa's customers and y is the number of daisy's customers would lisa need to serve to attain the projected income if daisy calls in sick that day?
Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day
What is linear function ?
A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:
y = mx + b
where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.
According to the question:
If Daisy calls in sick, then Lisa will be the only stylist at the salon, and all customers will go to her. Let's use x to represent the number of Lisa's customers. Then the income generated by Lisa's customers can be represented by the equation:
18x = projected income
We can solve for x by dividing both sides of the equation by 18:
x = projected income / 18
Substituting the given projected income of $216, we get:
x = 216 / 18 = 12
Therefore, Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day.
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Hi I need help
1) -15+4r=-9
2)5-y/3=-1
3)42=5x-8
That's all, you don't have to show work, but I'd appreciate it:) asap pls
Equation #1:
-15+4r=-9We move all terms to the left:
-15+4r-(-9)=0
We add all the numbers together, and all the variables
4r-6=0
We move all terms containing r to the left, all other terms to the right
4r=6
r=6/4
r=1+1/2
Equation #2:
5-y/3=-1We move all terms to the left:
5-y/3-(-1)=0
We add all the numbers together, and all the variables
-y/3+6=0
We multiply all the terms by the denominator
-y+6*3=0
We add all the numbers together, and all the variables
-1y+18=0
We move all terms containing y to the left, all other terms to the right
-y=-18
y=-18/-1
y=+18
Equation #3:
Simplifying
42 = 5x + -8
Reorder the terms:
42 = -8 + 5x
Solving
42 = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
42 + -5x = -8 + 5x + -5x
Combine like terms: 5x + -5x = 0
42 + -5x = -8 + 0
42 + -5x = -8
Add '-42' to each side of the equation.
42 + -42 + -5x = -8 + -42
Combine like terms: 42 + -42 = 0
0 + -5x = -8 + -42
-5x = -8 + -42
Combine like terms: -8 + -42 = -50
-5x = -50
Divide each side by '-5'.
x = 10
Simplifying
x = 10
Step-by-step explanation:
hope it's beneficial.
Draw my attention for further explanations.✨✨
The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. The area of printed material on the poster is fixed at 864 cm2. Find the dimensions of the printed area that minimize the area of the whole poster.
We want to find the dimensions of the poster such that the area of the whole poster is minimized .These are: Length = 325.2cm and
Width = 17cm
We can assume that the poster is a rectangle, and we know that a rectangle of length L and width W has an area:
A = L*W
Here we do know that the top and bottom margins are 9 cm each.
The side margins are 6cm each.
Then the measures of the printed areas are:
W' = W - 2*6cm = W - 12cm
L' = L - 2*9cm = L - 18cm
And we know that the area of the printed part is 1536 cm^2, then we can write:
A' = (W - 12cm)*( L - 18cm) = 864 cm^2
W*L - 12cm*L - 18cm*W + 216cm^2 = 1536 cm^2
W*L = 12cm*L + 18cm*W + 1320cm^2
And W*L is equal to the area, so what we need to minimize is:
A = 12cm*L + 18cm*W + 1320cm^2
Here we can see that the dependence of the area is larger on W than on L, so what we need to minimize is W.
We will take the smallest value of W such that the given margins are allowed.
That value would be such that:
W - 12cm > 0
W > 12cm
this could (and to be strict, should) be something like 16.0001cm, but let's use 17cm just to use whole numbers, we will get:
W = 17cm
Then to get the length we solve:
W*L = 12cm*L + 18cm*W + 1320cm^2
17cm*L = 12cm*L + 18cm*17cm + 1320cm^2
5cm*L = 1560cm^2
L = 325.2cm
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please help me..!!!!!
Answer:
x + 7
Step-by-step explanation:
1+7=8
2+7+9
so on
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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i need help with this please hurry!!!
So on solving the provided question, we can say that fraction we have are \(4\frac{2a}{3} + \frac{1a}{4} - \frac{1a}{a} (b - 7)\) = 14/6
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here the fraction we have are
\(4\frac{2a}{3} + \frac{1a}{4} - \frac{1a}{a} (b - 7)\)
12/3 + 12/4 + 15/2
14/6
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McKenzie has a 2 quart pitcher.she fills itup two times with juice.how many cups ofjuice was she able to make?
Since McKenzie fills the 2-quart pitcher 2 times, there are a total of 4 quarts.
2 quarts × 2 times filled = 4 quarts
Recall that
1 quart = 4 cups
Since each quart is 4 cups, having 4 quarts is equivalent to
4 quarts × 4 = 16 cups
Therefore, there are a total of 16 cups of juice that was made.
Jean and sally drive toward each other from places that are 445 miles apart. Jean averages 43 mph by Sally averages 46 mph. If they both are driving at 9 AM and at what time would they meet
If they both were driving at 9 AM, Jean and Sally, based on their average driving speeds, would meet at 14:00 hours or 2:00 P.M.
What is the average speed?The average speed is the quotient of the total distance traveled and the time interval.
As a scalar quantity, the average speed is represented by its magnitude.
From the distance, speed, and time formula, we can determine the time when Jeann and Sally will meet.
Time = Distance/Speed
Total distance covered = 445 miles
Jean's average driving speed = 43 mph
Sally's average driving speed = 46 mph
Combined average driving speed = 89 mph
Time used to cover the distance = 5 hours (445/89)
The time they started driving = 9 AM
Time they will meet = 2 PM (9 AM + 5 hours) or 14:00 hours
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Given circle O , m∠EDF=31° . Find x .
The calculated value of x in the circle is 59
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of angle at the center of the circle is calculated as
Center = 2 * 31
So, we have
Center = 62
The sum of angles in a triangle is 180
So, we have
x + x + 62 = 180
This gives
2x = 118
Divide by 2
x = 59
Hence, the value of x is 59
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What is the exponent on 10 when you write 41,200 in scientific notation?
Answer: Exponent is 4.
Step-by-step explanation: 4.12 x 10^4
We seek a number value between 1 and 10.
Moving the decimal point 4 units to the left yields the following: 4.12 x 10^4. As you can see, the exponent is 4.
A plumber charges $25 for a service call plus $50 per hour of survice write an equation in slope-intercept form the cost for,C, after h hours of survice
The total cost for 8 hours of work is $425.
The total cost for 10 hours of work is $525.
The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.
Cost = fixed charge + variable charge
C = $25 + $50h
The total cost for 8 hours
$25 + $50(8)
$25 + $400
= $425.
The total cost for 10 hours
$25 + $50(10)
$25 + $500
$525.
can someone help pls
Answer:
4 hostel rooms
Step-by-step explanation:
okay so for this all you need to do is read the chart
go to 4-7 and read across to see how many hostel rooms have this many guests go to 20-23 and read across to see how many hostel rooms have this many guests there are 5 rooms with 4-7 guests (because 5 is halfway between 4 and 6 on the chart)there is only 1 room with 20-23 guests (because 1 is halfway between 0 and 2)work out the difference: 5-1 = 4What is the value of x?
95
57
Answer: 28°
Step-by-step explanation:
Charles is saving 5$ per week. He earns an extra $15 for mowing his neighbors yard. What is the least of weeks that it will take him to save at least $136?
Answer: 14.2 weeks
Step-by-step explanation:
We can set up a linear equation to find the least amount of weeks to save the certain amount. First, let's define variables:
x is weeks, which is the independent variable, and y is money, which is a variable dependent on the time (weeks).
Because he has 15$ given previously, that isn't going to change regardless of time, so it's a constant value.
So, if Charles works 0 weeks, he has 15 dollars regardless. But, if he were to work two weeks, he has 15 dollars and 10 dollars saved throughout the span of the weeks, so he has 25 dollars total.
Given this information, we can formulate a proper equation now to represent his saving:
y = 5x + 15
To find the least amount of weeks to save 136 dollars, substitute y with 136 and solve for that.
136 - 15 = 5x
121 - 5x
14.2 = x
Therefore, the least time it will take him to save 136$ is 14.2 weeks.
Vance bought 2 packages of large beads and 1 package of medium beads. He bought 2 packages of large buttons and how many more beads than more buttons did vance buy
There are 472 more buttons bought by Vance than beads.
Define the term difference of number?One of the most crucial arithmetic operations, that is obtained by removing two integers, produces difference in mathematics.For the stated question table is made.
So,
Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).
= (2 × 96) + (1 × 64)
= 2 × (90 + 6) + 64
= (2 × 90) + (2 × 6) + 64
= 180 + 12 + 64
= 256 beads
Now,
Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)
= (2 × 56) + (2 × 38)
= 2 × (50 + 6) + 2 × (30 + 8)
= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)
= 100 + 12 + 600 + 16
= 728 buttons
Thus,
Difference for the number of buttons and beads
= 728 – 256
= 472 beads
So,
Therefore, there are 472 more buttons bought by Vance than beads.
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tests for tuberculosis. Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the tlme adults with tuberculosis and correctly identifies those without tuberculosis 76.53% of the time: Suppose that POS stands for the test gives positive result and S means that the adult really has tuberculosis What is the probability of an adult getting NEG result and truly having tuberculosis? A.0.0373 B.0.0127 C.0.2230 D.0,7270
The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
Let's use the following notation:
P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.
P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.
P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.
We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:
P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)
We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').
P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')
= 0.254 * 0.05 + 0.7653 * 0.95
= 0.7352
Now we can substitute the values into Bayes' theorem:
P(TB|NEG) = 0.254 * 0.05 / 0.7352
= 0.01725
Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.
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this is my first question of my unit test sorry i cant give much
The answer is 876. Hope this helps.
Answer:
Option 2: 876
Step-by-step explanation:
\(\frac{13,140}{15} = 876\)
PLEASE HELP! Links will be reported!
Answer:
y=x+5
Step-by-step explanation:
bc each time its increasing by 5
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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What is the volume of the rectangular prism?
Please Help, My progress report grades are going in soon for the semester!!
Look at the Screenshot <33
Answer:
Step-by-step explanation:
Pages Alana writes = m+4
to fill in the blanks add 4 to 5, 7, and 9 because of the 4 extra pages Alana writes.
That will give you: 9, 11, and 13 as your answers
1. What is the probability the marble is yellow? The probability it is blue? The
probability
it is red?
Answer:
What is the probability the marble is yellow? = 1/3
The probability it is blue? = 1/3
The probability it is red? = 1/3
What is the employee's gross pay?
a $818.05
b. $830.42
C. $840.59
d $852.96
Answer:
It is D
Step-by-step explanation:
Just took the test and got a 100 2021
Answer:
What is the employee's gross pay?
a. }} $818.05
b. }} $830.42
c. }} $840.59
d. }} $852.96 <<<<<<<CORRECT
Step-by-step explanation:
Edge 2021
help me with my bordum ;))
give me a tbh even tho most of you dont know me
Answer: tbh
Step-by-step explanation:
A measuring Task objective => To investigate your local athletics track to see wheather it is worked fairly for runners. who start on different lines.
The Task objective chosen is: A Measuring Task
The Objective is: To investigate the fairness of a local athlete's track for runners starting on different lines.
How do one carry about the investigation about?To carry about the investigation, follow the steps given below.
Choose a nearby sportsman's racetrack that you wish to examine.Split the pathway into several lanes, with a minimum of three lanes.Determine the length of each lane by utilizing either a measuring tape or measuring wheel. Make sure the measurements are precise.Place cones or markers to designate the starting points for each lane.Request the presence of a cohort of individuals who engage in running to take part in the study.Record the duration of each runner in completing the track for every lane.Evaluate the outcomes and contrast the timings of athletes beginning from distinct tracks.Closely examine the time variances among distinct lanes.Draw inferences from the examination. Inconsistent differences in lane times may indicate an unfair advantage for certain runners depending on their starting position.Lastly, make a crossword puzzle that includes mathematical vocabulary in a clever manner.
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```Class IX```
*Mathematics Project work*
*Do any one*
1. *A Measuring Task*
To investigate your local athletes track to see whether it is worked fairly for runners who start on different lines.
2. *Design a crossword puzzle with mathematical terms*
To review mathematics vocabulary, to give the opportunity for creative expression in designing puzzles, to act as a means of motivating the study of a given unit and to given recreation .
Write down the indicated trigonometric value and write as decimal and round to thousandths place
The trigonometric values for a right triangle can be obtained through the measurements of the different sides,
\(\begin{gathered} sin(\theta)=\frac{op}{hyp} \\ cos(\theta)=\frac{ad}{hyp} \\ tan(\theta)=\frac{op}{ad} \end{gathered}\)this can be found in a triangle like this,
then, identify the measurements in the given triangle
then,
\(\begin{gathered} sin(A)=\frac{10}{26}=\frac{5}{13} \\ cos(A)=\frac{24}{26}=\frac{12}{13} \\ tan(A)=\frac{10}{24}=\frac{5}{12} \end{gathered}\)