-18 < 5x - 3 Isolate/get x by itself, first add 3 to both sides of the equation
-18 + 3 < 5x - 3 + 3
-15 < 5x Divide 5 on both sides
-3 < x Your answer is A
You flip the sign [</>] if you multiply or divide a negative number to both sides of the equation.
As a science expirment Mo and Jo want to send their rocket into space. They need 1/4 cup of water and 1/6 cup of a secret component. How much is there of these two components together?
There are [tex]\frac{5}{12}[/tex] of these components together
Solution:
As a science experiment Mo and Jo want to send their rocket into space
They need 1/4 cup of water and 1/6 cup of a secret component
From given question,
[tex]\text{Cup of water} = \frac{1}{4}\\\\\text{Cup of secret component } = \frac{1}{6}[/tex]
How much is there of these two components together?
So we need to add these together
[tex]\text{Cup of water}+ \text{Cup of secret component } = \frac{1}{4} + \frac{1}{6}\\\\\text{Cup of water}+ \text{Cup of secret component } = \frac{1 \times 6}{4 \times 6} + \frac{1 \times 4}{6 \times 4}\\\\\text{Cup of water}+ \text{Cup of secret component } =\frac{6}{24} + \frac{4}{24}\\\\\text{Cup of water}+ \text{Cup of secret component } = \frac{6+4}{24} = \frac{10}{24} = \frac{5}{12}[/tex]
Thus there are [tex]\frac{5}{12}[/tex] of these components together
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 220 at increments of 44. A straight line joins the ordered pairs 0, 0 and 2, 44 and 4, 88, and 6, 132
Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?
The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles.
The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
Answer:
The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
Step-by-step explanation:
See the graph attached.
It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.
Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.
So, the dragonfly will travel 528 miles. (Answer)
Answer:
The answer is C. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
I did the test, oh yeah and good luck on the test!!!!!!
Identify the three main parts of a professional cover letter.
O
A. Heading, body, mission statement
B. Heading, body, closing and signature line
C. Introduction, body, closing
O
D. Introduction, body, conclusion
Answer:
B. Heading, Body, Closing and Signature line
Step-by-step explanation:
Quiz Verified
The three main parts of a professional cover letter are:
- Introduction
- Body
- Conclusion
Option D is the correct answer.
What is a professional cover letter?A professional cover letter is a formal document that accompanies a job application.
It introduces the applicant to the potential employer and highlights their qualifications, skills, and experience that make them a suitable candidates for the job.
We have,
The three main parts of a professional cover letter are:
-Introduction
-Body
- Conclusion
The introduction typically includes a greeting, a brief overview of the position being applied for, and a statement of interest in the position.
The body of the cover letter is where the applicant can expand on their qualifications, skills, and experience, highlighting relevant achievements and providing examples that demonstrate their fit for the position.
The conclusion usually summarizes the applicant's interest and qualifications, and thanks the employer for considering the application.
It may also include a call to action, such as a request for an interview or an invitation for further discussion.
Thus,
The three main parts of a professional cover letter are:
-Introduction
-Body
- Conclusion
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What value of b will cause the system to have an infinite number of solutions? Y=6x+b -3x+1/2y=-3
Answer:
b = -6
Step-by-step explanation:
Given:
y=6x+b ----- (eq 1)
and
-3x+1/2y=-3 (Rearrange this equation to look likes eq (1) , add -3x to both sides)
(1/2) y = 3x - 3 (multiply both sides by 2)
y = 2(3x -3) (distribute the 2 into parentheses)
y = 6x - 6 -----(eq 2)
Recall that a system of equations will have an infinite number of solutions if both equations are the same line. (i.e they have the same slope and y intercept)
In our case, if you compare eq 1 and eq 2, the way to make both equations the same line is if b = -6. (this is the answer)
There are 625 students at Medin Middle School. If there 8% of the students were absent on Tuesday, how many students were absent?
Final answer:
To calculate the number of absent students at Medin Middle School, multiply the total number of students, 625, by 8%, which results in 50 absent students.
Explanation:
The question is asking to calculate the number of students who were absent from Medin Middle School on a given Tuesday when 8% of the student body did not attend. To find out how many students were absent, multiply the total number of students, 625, by the percentage of absentees, which is 8%.
The calculation is as follows:
Absent students = Total students × Percentage of absence
Absent students = 625 × 0.08
Absent students = 50
Therefore, there were 50 students absent from Medin Middle School on Tuesday.
17. Mrs. Turner baked 120 cookies. She
decided to give 1/6 of them to her students.
How many did she take to her students?
Ima edit this-Step-by-step explanation:
Answer:
20
Step-by-step explanation:120÷6=20
Ava and Jiao each swam a two-lap swimming race. Ava took 31.49 seconds to finish her first lap and 30.03 seconds to finish her second lap. Jiao finished her two-lap swimming race 1.76 seconds faster than Ava. What was Jiao’s total swimming time, in seconds, after she finished her two-lap race?
Answer:
Jiao's total swimming time is 59.73 seconds
Step-by-step explanation:
i) Ava took 31.49 seconds to finish her first lap.
ii) Ava took 30.03 seconds to finish her second lap.
iii) Therefore Ava took 31.49 + 30.03 = 61.49 seconds to complete her two laps.
iv) Jiao finished her two-lap swimming race 1.76 seconds before Ava.
v) Jiao's total swimming time = 61.49 - 1.76 = 59.73 seconds
please help with ixl problem pls get it right has 2 people get it wrong out of points please help:(
Answer:
y=2x + 3
Step-by-step explanation:
I checked I'm positive this is right lol
Solve log812 = x – 2 . Round your answer to four decimal places.
Answer:
[tex]x=3.1950[/tex]
Step-by-step explanation:
Given:
The equation to solve is given as:
[tex]\log_8 12=x-2[/tex]
In order to solve this, we use the base change formula of logarithms.
The base change formula is given as:
[tex]\log_a b=\frac{\log b}{\log a}[/tex]
Therefore, the equation can be rewritten as:
[tex]\frac{\log 12}{\log 8}=x-2[/tex]
Adding 2 on both the sides, we get:
[tex]x=2+\frac{\log 12}{\log 8}[/tex]
Now, we know that, [tex]\log 12=1.07918\ and\ \log 8=0.9031[/tex]
Plug in these values and solve for 'x'. This gives,
[tex]x=2+\frac{1.07918}{0.9031}\\\\x=2+1.19497=3.19497\approx3.1950[/tex]
Therefore, the value of 'x' is 3.1950 rounded to four decimal places.
Answer:x=3.1950 on ed yw
Step-by-step explanation:
there are two numbers which add up to be 29. If one number is one more than the other find the two numbers
Final answer:
The two numbers that add up to 29, where one number is one more than the other, are 14 and 15. The equation 2x + 1 = 29 helped determine that the smaller number is 14, and adding one gives us the larger number, 15.
Explanation:
The two numbers in question are those that sum up to 29, and one number is one more than the other. Let's denote the smaller number as x, which makes the larger number x + 1 because it's one more than the smaller one. Setting up the equation based on the information given, we have:
x + (x + 1) = 29
Combining like terms gives us:
2x + 1 = 29
To find the value of x, we subtract 1 from both sides:
2x = 28
And then divide by 2:
x = 14
Therefore, the smaller number is 14, and the larger number, being one more than 14, is 15.
Simplify the number. (-32)^6/5
Answer:
-64
Step-by-step explanation:
-32^(6/5) =-( [tex]}\sqrt[5]{32}[/tex])^6
= -(2)^6
= -64
The Simplification of the given expression is -64.
Simplification is the procedure to utilize and analyze the function or expression to make the function or expression uncomplicated.
The given expression is:
[tex]-32^{6/5} =[/tex]
To simplify this expression, we have to combine like terms.
Combining the like terms we get:
[tex]-32^{6/5} =[/tex] ( [tex]-( \sqrt[5]{32} )^6[/tex] )^6
= [tex]-(2)^6[/tex]
= -64
Therefore, the value of the given expression is -64.
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Use the power property to rewrite log3x^9
Answer:
The answer is B
Step-by-step explanation:
just did
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
Answer: 0.1359
Step-by-step explanation:
mean = $400
Standard deviation = $50
Since the wages is normally distributed , the first thing is to find the z - score.
z = [tex]\frac{x-mean}{standard deviation}[/tex]
finding the z - value for 300 and 350 , we have
z = [tex]\frac{300-400}{50}[/tex]
z = [tex]\frac{-100}{50}[/tex]
2 = -2
also
z = [tex]\frac{350-400}{50}[/tex]
z = [tex]\frac{-50}{50}[/tex]
z = -1
The next thing is to check the calculated value on z - table.
From z - table :
P (z[tex]\leq[/tex] -2 ) = 0.0228
P ( z [tex]\leq -1[/tex] ) = 0.1587
combining the two
P ( -2[tex]\leq[/tex]z[tex]\leq[/tex]-1 ) = 0.1587 - 0.0228
P ( -2[tex]\leq[/tex]z[tex]\leq[/tex]-1 ) = 0.1359
Therefore , the the probability that a worker
selected at random makes between
$300 and $350 = 0.1359
Answer:13.5
Step-by-step explanation:
Suppose that ? Is an angle with csc(?)=-12/5 and ? Is not in the third quadrant. Compute the exact value of Tan(?). You don’t have to rationalize the denominator.
I think the answer is -5/rad119, but I’m not sure
Answer:
[tex]tan(\theta)=-\frac{5}{\sqrt{119}}[/tex]
Step-by-step explanation:
The correct question is
Suppose that ∅ Is an angle with csc(∅)=-12/5 and ∅ Is not in the third quadrant. Compute the exact value of Tan(∅).
∅ Is not in the third quadrant
If csc(∅) is negative the angle lie in the III Quadrant or in the IV Quadrant
∅ Is not in the third quadrant ----> given problem
so
That means ----> ∅ Is in the fourth quadrant
step 1
Find the value of [tex]sin(\theta)[/tex]
we have
[tex]csc(\theta)=-\frac{12}{5}[/tex]
we know that
[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]
therefore
[tex]sin(\theta)=-\frac{5}{12}[/tex]
step 2
Find the value of [tex]cos(\theta)[/tex]
we know that
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
we have
[tex]sin(\theta)=-\frac{5}{12}[/tex]
substitute
[tex](-\frac{5}{12})^2+cos^2(\theta)=1[/tex]
[tex]\frac{25}{144}+cos^2(\theta)=1[/tex]
[tex]cos^2(\theta)=1-\frac{25}{144}[/tex]
[tex]cos^2(\theta)=\frac{119}{144}[/tex]
[tex]cos(\theta)=\frac{\sqrt{119}}{12}[/tex] ---> is positive (IV Quadrant)
step 3
Find the value of [tex]tan(\theta)[/tex]
we know that
[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
substitute the values
[tex]tan(\theta)=-\frac{5}{12} : \frac{\sqrt{119}}{12}=-\frac{5}{\sqrt{119}}[/tex]
What is the result when the number 17 is increased by 7.3%
Answer: 18.241
Step-by-step explanation:you have to take 17 times .073. Which is 1.241. Then add that to 17
Final answer:
To calculate a 7.3% increase on 17, multiply 17 by 0.073 to find the increase amount of 1.241 and add it to the original number, leading to a final result of 18.241.
Explanation:
To find the result when the number 17 is increased by 7.3%, we need to calculate the percentage increase and add it to the original number. The calculation is as follows:
Find 7.3% of 17 by multiplying 17 by 0.073 (7.3/100).The result of this multiplication gives us an increased amount.Add this increase to the original number to find the final result.Performing the calculation:
17 times 0.073 = 1.241Now, add this increase to the original number: 17 + 1.241 = 18.241Therefore, when the number 17 is increased by 7.3%, the result is 18.241.
two third of 18 is equal to 2/5 of what number ?
a. 12
b. 20
c. 30
d. 60
Answer:
C
Step-by-step explanation:
[tex] \frac{2}{3} \times 18 = \frac{2}{5} \times x[/tex]
[tex] \frac{36}{3} = \frac{2x}{5} [/tex]
[tex]180 = 6x[/tex]
[tex]30 = x[/tex]
Two third of 18 is equal to 2/5 of 30, Option C is the correct answer.
What is an EquationAn equation in math is an equality relationship between two expressions written on both sides of the equal to sign.
It is given in the question
two third of 18 is equal to 2/5 of what number
Let the number be x
then the expression that can be formed = (2/5)x
and (2/3)*18
These two expression are equal
Equating the expression will give
(2/5)x = (2/3)*18
(2/5)x = 12
x = 12*5/2
x = 30
Therefore the number = 30.
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what is the product? [ 4 2 ] x [ -2 5 7 -1 ]
Answer:
[ 4 2 ] x [ -2 5 7 -1 ] = [- 10,836]
Step-by-step explanation:
Here, the given expression is:
[ 4 2 ] x [ -2 5 7 -1 ]
Now solving : [ -2 5 7 -1 ] , we get
[ -2 5 7 -1 ] = [-258]
Now simplifying
[-258] x [ 4 2 ] = - 10,836
⇒ [ 4 2 ] x [ -2 5 7 -1 ] = [- 10,836]
Hence the solution is: [- 10,836]
Answer:
D. [6 18]
Step-by-step explanation:
Edge2020
Have a great day y'all :)
anna buys groceries for her family hamburger meat is $3.38 per pound , sweet potatoes are $0.79 each,and hamburger rolls are $2.30 a bag . if anna buys 3 pounds of meat , 5 sweet potatoes , and one of hamburger rolls, what will she pay in all for the groceries.?
Answer:
Step-by-step explanation:
3.38times3=10.14
5times.79=3.95
1times2.30=2.30
10.14+3.95+2.30=18.04
Answer:
3.38times3=10.14
5times.79=3.95
1times2.30=2.30
10.14+3.95+2.30=18.04
Step-by-step explanation:
What is 4.356 rounded to the nearest whole number?
Answer:
Nearest whole is 4
Step-by-step explanation:
The answer is 4
What are whole numbers?The complete set of natural numbers along with '0' are called whole numbers. The examples are: 0, 11, 25, 36, 999, 1200, etc.
Given here: The decimal number 4.356
Thus rounding to nearest whole number we get 4
Hence, The answer is 4
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What are the solutions of x2 +6x-6 = 10?
Answer:
X= 2, -8
Step-by-step explanation:
Hope this helps ;)
Answer:
-8, 2
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
A.) 12.5
B.) 10
C.) 13
D.) 9.7
Step-by-step explanation:
In given figure,
Base (b) = 11 and Angle = 28°
To find, the value of x = ?
We know that,
[tex]\cos A=\dfrac{b}{h}[/tex]
Where, h is the hypotaneous = x
⇒ [tex]\cos 28=\dfrac{11}{x}[/tex]
⇒ [tex]x=\dfrac{11}{\cos 28}[/tex]
The value of [tex]\cos 28[/tex] = 0.8829
⇒ x = [tex]\dfrac{11}{0.8829}[/tex]
⇒ x = 12.458
⇒ x ≈ 12.5
∴ The value of x ≈ 12.5
Thus, the value of x "option A) 12.5" is required answer.
If X = 16 feet and Y = 8 feet, what is the area of the figure above ? Use 3.14 for pi .
A. 153.12 feet^2
B. 178.24 feet^2
C. 228.48 feet^2
D. 52.56 feet^2
Answer:
A
Step-by-step explanation:
You can probably figure out the rectangle of 16 by 8 so no explaining there. 16×8=128. You know that diameter of the cirkel is equal to y so 8. The diameter of a cirkel is two times its radius. so 8=2r. r=4. The area of a cirkel is calculated by the formula \pi×r^2. Fill in r=4 in \pi×r^2 gives us \pi×4^2=16\pi. You only have half of the cirkel so 16\pi/2=8\pi. 128+8\pi=153.12 which is A.
A square picture with side length 30 cm is scaled by 60% on a photocopier the copy is then scaled by 60% again. What is the side length of the second copy of the picture
Answer:
10.8 cm
Step-by-step explanation:
we know that
1) A square picture with side length 30 cm is scaled by 60% on a photocopier
Remember that
[tex]60\%=60/100=0.60[/tex]
so
The length of the first copy of the picture is
[tex]30(0.60)=18\ cm[/tex]
2) The copy is then scaled by 60% again
so
The length of the second copy of the picture is
[tex]18(0.60)=10.8\ cm[/tex]
Based on the information given, the side length of the second copy of the picture is 10.8cm.
From the information given, it was stated that the square picture with side length 30 cm is scaled by 60% on a photocopier the copy is then scaled by 60% again.Therefore, the side length will be:
= 30 × 60% × 60%
= 10.8cm
In conclusion, the correct option is 10.8cm.
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what is answer to ax+5=20
Answer:
ax = 20 - 5
ax = 15
Hope it helpss!!
which of the following describes a compound
- a single atom
- a particle that is smaller than at atom
- two or more types of atoms chemically bonded together
- two unrelated atoms that are not chemically bonded
Answer:
A compound is two or more types of atoms chemically joined together.
i hope this helps
have a nice day
please mark brainliest
The statement describes a compound: "two or more types of atoms chemically bonded together". The correct answer would be an option (C).
What is the compound?Compounds are pure molecules made up of two or more separate elements' atoms. Compounds can be disassembled into their constituent parts. These compounds are composed of a set number of atoms. Carbon monoxide CO is an example of a chemical compound.
A compound is a substance made up of two or more different types of atoms that are chemically bonded together.
So, two or more types of atoms chemically bonded together describe a "compound".
Hence, the correct answer would be an option (C).
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multiply 1/4 how many times
if you multiply it 4 times it will equal one whole
Step-by-step explanation:
not sure if that's what ya wanted but yeah
May runs around a 4 m track at a consistent speed of 250 m/min. how many minutes does it take me to complete for lapse of the track explain o
Answer:
It takes May 6 minutes and 24 seconds to run 4 laps and 1 minute and 36 seconds per lap
Statement and question:
May runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take May to complete 4 laps of the track?
Source:
Previous question that can be found at brainly
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed of May = 250 meters per minute
Length of the track = 400 meters
2. How many minutes does it take May to complete 4 laps of the track?
Let's answer the question calculating the total distance and the time it took Mary to run around the track, this way:
Total distance = 4 * 400 = 1,600 meters
Time it takes May to run 1,600 meters = 1,600/250
Time it takes May to run 1,600 meters = 6.4 minutes
6.4 minutes = 6 minutes + 0.4 * 60 seconds = 6 minutes and 24 seconds
Time it takes May to run one lap = 6.4/4 = 1.6
1.6 minutes = 1 minute + 0.6 * 60 seconds = 1 minute and 36 seconds
If a 16 fl oz bottle of water costs $1.50, and a gallon of gasoline costs $3.50. Which Costs more?
PLEASE MARK BRAINLIEST!
Answer:
Let's find out!
Step-by-step explanation:
**There is 128 fl oz in a gallon**
To solve, we will try and find the unit rate of 1 fl oz of both the cost of the water and the cost of the gasoline. A unit rate is when the denominator of a fraction is 1, showing how much of something equals 1 of the denominator. For example, if the cost was $1 for 1 fl oz, the cost of a gallon of gasoline would be $128.
[tex]\frac{cost(dollars)}{fl|oz}[/tex]
[tex]\frac{1.50}{16}[/tex] ÷ [tex]\frac{16}{16} = \frac{0.09375}{1} = \frac{0.09}{1}[/tex]
[tex]\frac{3.50}{16}[/tex] ÷ [tex]\frac{128}{128} = \frac{0.02734375}{1} = \frac{0.03}{1}[/tex]
For every 1 fl oz of water, it will cost $0.09
For every 1 fl oz of gasoline, it will cost $0.03
Which costs more?
Your answer is the water.I hope this helps!
- sincerelynini
Line a is parallel to line b. Which statement about lines a and b is true?
The sum of the slopes of line a and line bis 0.
The product of the slopes of line a and line bis 1.
The product of the slopes of line a and line bis -1.
Line a and line b have the same slope.
Final answer:
Line a and line b, being parallel, have the same slope which is the defining feature of parallel lines.
Explanation:
When two lines, line a and line b, are parallel, they will never intersect and will have the same slope. Therefore, if line a is parallel to line b, the statement 'Line a and line b have the same slope' is true.
In the context of the slope of lines, the sum of the slopes of line a and line b would not be 0 unless both slopes are zero, which is typically not the case for non-horizontal lines. The product of the slopes would not be 1 or -1 either, unless one of the lines is perpendicular to the other, which would imply that the lines are not parallel. Therefore, the characteristic feature of parallel lines is that their slopes are identical.
What are the slope and the y-intercept of the linear function that is represented by the equation 8 x minus 2 y = 5?
The slope is Negative five-halves, and the y-intercept is 4.
The slope is Five-halves, and the y-intercept is 4.
The slope is 4, and the y-intercept is Negative five-halves.
The slope is 4, and the y-intercept is Five-halves.
Answer:
The slope is 4, and the y-intercept is Negative five-halves
Step-by-step explanation:
we have
[tex]8x-2y=5[/tex]
This is the equation of the line in standard form
Convert the equation in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
Isolate the variable y
Subtract 8x both sides
[tex]-2y=-8x+5[/tex]
Divide by -2 both sides
[tex]y=4x-\frac{5}{2}[/tex]
therefore
[tex]m=4\\b=-\frac{5}{2}[/tex]
The slope is 4, and the y-intercept is Negative five-halves
Given that,
The linear function that is represented by the equation 8 x minus 2 y = 5.Based on the above information, the calculation is as follows:
8x - 2y = 5
We know that y = mx + b
Here
m is the slope
b is the y-intercept
Isolate the variable y
So,
-2y = -8x + 5
Now divide 2 by both sides
[tex]y = 4x - \frac{5}{2}[/tex]
So,
m = 4
And b [tex]= \frac{-5}{2}[/tex]
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