Answer:
x = - 3
Step-by-step explanation:
x = 8 is the equation of a vertical line parallel to the y- axis.
Thus a line parallel to it will also be vertical with equation
y = c
Where c is the value of the x- coordinates the line passes through
The line passes through (- 3, - 2) with x- coordinate - 3, thus
x = - 3 ← equation of parallel line
There is no equation of a line that is parallel to x=8 and passes through the point (-3, -2).
Explanation:To find the equation of a line parallel to x = 8 and passing through the point (-3, -2), we need to know that a line with an equation x = a is a vertical line passing through the point (a, 0), and it has no slope. Since we need to find a line with the same slope as x = 8, we can set the equation to x = -3, which represents a vertical line passing through the point (-3, 0).
However, this line is parallel to x = 8 rather than passing through the point (-3, -2). Therefore, there is no equation of a line that is parallel to x = 8 and passes through the point (-3, -2).
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A rectangular yard measuring 26 ft by 36 ft is bordered (and surrounded) by a fence. Inside, a walk that is 2 ft wide goes all the way along the fence. Find the
area of this walk. Be sure to include the correct unit in your answer.
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Answer:
232 square feet
Step-by-step explanation:
The outside dimensions of the yard are 26 ft by 36 ft, so its total area is ...
yard including walk = (26 ft)(36 ft) = 936 ft²
The dimensions of the yard inside the walkway are 22 ft by 32 ft, so that area is ...
yard not including walk = (22 ft)(32 ft) = 704 ft²
The difference in these areas is the area of the walkway:
walkway area = (yard including walk) - (yard not including walk)
= (936 -704) ft² = 232 ft² . . . . area of the walk
_____
Another way to figure this is to consider the length of the centerline of the walkway. That is the perimeter of a rectangle that is 24 ft by 34 ft. The perimeter (centerline length) is 116 ft, and the width of the walk is 2 ft, so its area is ...
(116 ft)(2 ft) = 232 ft²
Olivia is saving money for a vacation. She started her savings with $50 and is now saving the same amount each week. After 6 weeks, she has saved $140. How much money is Olivia saving each week?
Answer: She is earning $15 a week.
Step-by-step explanation:
Since she started with 50 dollars you need to subtract. So 140-50=90. Since she has been saving for 6 weeks, you need to divde, so 90÷6=15.
2(n +5)= -2
I need to find the value of n
Answer:
-6
Step-by-step explanation: 2(n+5)=-2
Remove the bracket(expanding):
2×n+2×5=-2
2n+10=-2
collect like terms:
2n=-2+(-10)
2n=-12
Dividing both side by the coefficient of n i.e 2
2n/2=-12/2
n=-6
A restaurant took 1/9 of an hour to use 1/8 of a package of napkins. At this rate, how many hours would it take to use the entire package
Answer:
8/9hrs
Step-by-step explanation:
if 1/8 takes 1/9hrs
since there are 8 fractions , the entire package will take 1/9*8hrs
The National Zoo has T-shirts that regularly sell for $32. The shirts are marked 1/4 off during a Labor Day sale. What is the sale price of a T-shirt?
Answer:
The sale price of a T-shirt is $24.
Step-by-step explanation:
1/4 off=25%=0.25
0.25*32=8
32-8=24
Which layer of the atmosphere reflects radio waves back to Earth? Mesosphere Stratosphere Thermosphere Troposphere BRAINLEST
Answer:
ionosphere
Step-by-step explanation:
In radio communication, skywave or skip refers to the propagation of radio waves reflected or refracted back toward Earth from the ionosphere, an electrically charged layer of the upper atmosphere
There are total 3500 students in the freshman class.
What are radio waves?Radio waves are the electromagnetic radiations whose wave frequency lies in range of 10⁴ and 10¹¹ or 10¹² Hz. These waves are generally used in long distance communication.
Given is to find out which layer of the atmosphere reflects radio waves back to Earth.
None of the layers mentioned reflects radio waves back to Earth. Only the ionosphere reflects the radio waves back to Earth. It is a electrically conducting region extending between 80 km to 300 Km in altitude.
Therefore, there are total 3500 students in the freshman class.
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What is the only prime number that is a factor of 16
The only prime number that is a factor of 16 is 2, since 16 is a power of 2 (2⁴).
Explanation:The student has asked to identify the only prime number that is a factor of 16. To find the factors of 16, we can break it down into its prime factors. The prime factorization of 16 is 2×4×4, which reduces further to 2×2×2×2 or 24. Since the prime factors of 16 are all 2s, the only prime number that is a factor of 16 is 2. It's important to note that a prime number is defined as a number that has exactly two distinct positive divisors: 1 and the number itself. In the case of 16, 2 is the only prime number that fits this definition and is a factor.
WILL GIVE BRAINLIEST PLEASE HELP
At a nursery, plants are half off their original price. The sale price of a potted plant is $5.50. Which equation could be used to find the original cost of the plant?
F. c/2 =$5.50
G. 2c=$5.50
H. $5.50c=2
I. 2+c=$5.50
Answer:
F, I’m not sure but i would go with F since you want the original cost or rather “c”, you want to divide that to get the $5.50 which it states that that’s the half price.
Answer:
F. c/2 = $5.50Step-by-step explanation:
sale price = $5.50
(1/2) or 50% off the price.
let c = original price
c/2 = 5.50
c = $11
so the answer is F.
Solve each proportion. What is the soulution to M/10=10/3
Answer:
30/10=10/3
Step-by-step explanation:
because 10/3 if you multiply 3 times 10 and keep 10 and switch it around you'll get 30/10
1. Susan decides to take a job as a transcriptionist so that she can work part-time from
home. To get started, she has to buy a computer, headphones, and some special
software. The equipment and software together cost her $1000. The company pays
her $0.004 per word, and Susan can type 90 words per minute.
a. How many hours must Susan work to break even, that is, to make enough to
cover her $1000 start-up cost?
b. If Susan works 4 hours a day, 3 days a week, how much will she earn in a
month?
Answer:
a) About 46.3 hours
b) About $1036.80
Step-by-step explanation:
a)
Break even means to make enough to cover her costs.
Given her cost is 1000, we need to find how many hours she will need to cover this up.
In 1 minute, she can type 90 words, that would pay her:
0.004 per word for 90 words = 0.004 * 90 = $0.36 per minute
Susan makes $0.36 per minute, so the amount of time (in minutes) it will take her to make $1000, is:
1000/0.36 = 2777.78 minutes
Converting that to hours, we divide by 60,
2777.78/60 = 46.3 hours
b)
4 hours per day for 3 days = 4 * 3 = 12 hours (per week)
Let there be 4 weeks in a month, so
12 hours per week * 4 = 48 hours per month
She will work 48 hours per month.
Given 90 words per minute, in 1 hour, she can type:
60 minutes * 90 = 5400 words per hour
In 48 hours, she can type:
5400 words per hour * 48 hours = 259,200 words
That would pay her:
0.004 per word for 259,200 words = 0.004 * 259,200 = $1036.80
The estimated number of Viêtians was 1 million in 1999 and their population increases 10% a year. Complete
the table to show the population for the next 4 years after 1999.
Years since
1999
Population in
millions
1
Answer:
aaaaaaaa
Step-by-step explanation:
The table below shows the scores of a group of students on a 10-point quiz.
Test Score Frequency
3 0
4 1
5 1
6 1
7 2
8 1
9 5
10 5
The mean score on this test is:
The median score on this test is:
Help
The mean score on this test is 8.8, and the median score is 9.4.
Explanation:In order to find the mean of the scores, we use the formula:
[tex]\[ \text{Mean} = \frac{\sum (X \cdot f)}{N} \][/tex]
where X is the score, f is the frequency, and N is the total number of scores. Applying this formula to the given data:
[tex]\[ \text{Mean} = \frac{(4 \cdot 1) + (5 \cdot 1) + (6 \cdot 1) + (7 \cdot 2) + (8 \cdot 1) + (9 \cdot 5) + (10 \cdot 5)}{1 + 1 + 1 + 2 + 1 + 5 + 5} \][/tex]
[tex]\[ \text{Mean} = \frac{4 + 5 + 6 + 14 + 8 + 45 + 50}{15} \][/tex]
Mean = [tex]\frac{132}{15}[/tex]
Mean = 8.8
So, the mean score is 8.8.
To find the median using the formula:
[tex]\[ \text{Median} = L + \frac{\frac{N}{2} - F}{f} \times w \][/tex]
where:
- L is the lower class boundary of the median group,
- N is the total number of observations,
- F is the cumulative frequency of the group before the median group,
- f is the frequency of the median group,
- w is the width of the median group.
First, arrange the data and calculate cumulative frequencies:
Test Score Frequency Cumulative Frequency
3 0 0
4 1 1
5 1 2
6 1 3
7 2 5
8 1 6
9 5 11
10 5 16
The median position is [tex]\( \frac{N}{2} = \frac{16}{2} = 8 \)[/tex] with a score of 9. The cumulative frequency before the median group is 6, and the frequency of the median group is 5.
Now, using the formula:
Median= 9 + [tex]\frac{8 - 6}{5} \times 1[/tex]
Median= 9 + [tex]\frac{2}{5}[/tex]
Median = 9 + 0.4
Median = 9.4
Therefore, the median score is 9.4.
in the morning the temperature starts out around 50 F. As the day goes on, the temperature rises first slowly, then more quickly. It says constant for an hour before dropping slowly. Select the graph that best represnts this descripition.
The graph that best represents the described temperature change is Graph A.
The description provided suggests a graph of temperature change over time.
In the morning, the temperature starts around 50°F, so the initial point on the graph would be at (0, 50). As the day progresses, the temperature rises first slowly and then more quickly, indicating a steeper slope.
After reaching a peak, the temperature stays constant for an hour, suggesting a flat line parallel to the x-axis.
Finally, the temperature drops slowly, indicating a decreasing slope.
Based on this description, Graph A represents the temperature change over the day.
What is the equations of the line that has a slope of 2 and passes through the point (6,2)
Answer:
y-2=2(x-6)
Step-by-step explanation:
y-y1=m(x-x1)
m=2
y-2=2(x-6)
dinner was 29.00 but I left a 25 percent tip, what did I end up paying?
Answer:
Your tip was $7.25 so you payed a total of $36.25 on your $29 bill.
Answer:
$36.25
Step-by-step explanation:
Multiply 29.00 by 0.25 to get 25% of 29.00. You would get 7.25. Then add the 25% tip to the dinner amount (29.00+7.25) and you would get 36.25.
Brianna spent 4.00$ on admission to a basketball game she also spent some money at the concession stand in all Brianna spent 16.00$ at the basketball game write an algebraic equation to model the situation
Answer:
4 + x = 16
Step-by-step explanation:
In general, if we have an equation that has just one variable, such as x, then "solving the equation" means finding the set of all values that can be substituted for the one variable to produce a valid equation.
Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x."
If each person drinks 8 ounces of cranberry juice how much cranberry juice is needed there is 15 people
Answer:
120 ounces
Step-by-step explanation:
what is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box.
this is just to help any of my fellow people who suck at math :)
Answer:
[tex]59.19 ft^2[/tex]
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=7.2\ ft[/tex]
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(7.2)^{2}[/tex]
[tex]A=162.78\ ft^2[/tex]
step 2
we know that
The area of a circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector with a central angle of 8 π/11 radians
[tex]\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2[/tex]
Final answer:
The area of a sector with a central angle of 8π/11 radians and a radius of 7.2 ft, using 3.14 for π, is approximately 78.60 ft² when rounded to the nearest hundredth.
Explanation:
To calculate the area of a sector of a circle, we use the formula ½ θr², where θ is the central angle in radians, and r is the radius of the circle. For a sector with a central angle of ₈π/₁₁ radians and a radius of 7.2 ft, substituting 3.14 for π, we can find the area as follows:
Use the formula: Area = (½)(θ)(r²).
Substitute the given values to get: Area = (½)(₈π/₁₁)(7.2 ft)².
Calculating using 3.14 for π we get: Area = (0.5)*(8*3.14/11)*(7.2 ft)².
Simplify and calculate the result which gives us: Area = 78.5952 ft².
Round the final answer to the nearest hundredth: Area = 78.60 ft².
The sum of two numbers is −102. One number is 62 less than the other. Find the numbers.
The two numbers are -20 and -82. By creating two equations x + y = -102 and x = y - 62, substitute for x in the first equation and solve for y, then substitute y back into the second equation to solve for x.
Explanation:To solve the problem, you can create two equations using the given information.
The sum of the two numbers is -102, so if you call the two numbers x and y, you have: x + y = -102 . One number is 62 less than the other, so: x = y - 62.
You can now substitute the equation from step 2 into equation 1:
(y - 62) + y = -102.
Combine like terms:
2y - 62 = -102.
Then add 62 to both sides of the equation:
2y = -40.
Finally, divide both sides by 2:
y = -20.
Substitute y = -20 back into x = y - 62:
x = -20 - 62 = -82.
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10.
Your brother has $2000 saved for a vacation. His airplane ticket is $637. Write and solve an
inequality to find how much he can spend for everything else.
Answer:
He can spend $1363 for everything else.
Step-by-step explanation:
x+637<=2000
x<=2000-637
x<=1363
The French Club ordered 19 pizzas for a party. Each pizza had 6 slices. Miguel ate 8 of the slices. How many slices were left for the rest of the club?
Answer:
106 slices left
Step-by-step explanation:
To solve this we need to multiply 19 and 6:
19 * 6 = 114
there was 114 slices of pizza
next subtract 114 and 8
114 - 8 = 106
there was 106 slices of pizza left after Miguel ate 8 slices of pizza
Final answer:
After calculating the total slices from 19 pizzas and subtracting the 8 slices consumed by Miguel, there are 106 pizza slices left for the rest of the French Club.
Explanation:
The student asked about the number of pizza slices left after Miguel ate some. To calculate this, we first need to find the total number of slices in 19 pizzas, each cut into 6 slices, and then subtract the 8 slices that Miguel ate.
Calculate the total number of slices: 19 pizzas × 6 slices/pizza = 114 slices.
Subtract the slices Miguel ate: 114 slices - 8 slices = 106 slices.
So, there are 106 pizza slices left for the rest of the French Club.
Write an equation of the line that passes through the given point and is parallel to the given line.
40. (4,1);y=-2x+7 41. (0,6);y=5x-3 42. (-5,-2);y=2/3x+1
Answer:
Part 40) [tex]y=-2x+9[/tex]
Part 41) [tex]y=5x+6[/tex]
Part 42) [tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
Step-by-step explanation:
Remember that
If two lines are parallel, then their slopes are the same
Part 40) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (4,1)
Given line y=-2x+7
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
so
The slope of the given line is
[tex]m=-2[/tex]
step 2
Find the y-intercept b
we have
[tex]m=-2[/tex]
[tex](4,1)[/tex]
substitute in the linear equation
[tex]1=(-2)4+b[/tex]
solve for b
[tex]b=1+8[/tex]
[tex]b=9[/tex]
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
[tex]m=-2[/tex]
[tex]b=9[/tex]
substitute
The equation of the line is
[tex]y=-2x+9[/tex]
Part 41) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (0,6)
Given line y=5x-3
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
so
The slope of the given line is
[tex]m=5[/tex]
step 2
Find the y-intercept b
[tex]b=6[/tex] ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
[tex]m=5[/tex]
[tex]b=6[/tex]
substitute in the linear equation
[tex]y=5x+6[/tex]
Part 42) Write an equation of the line that passes through the given point
and is parallel to the given line
we have
Point (-5,-2)
Given line y=(2/3)x+1
step 1
Find the slope of the given line
The given line is a equation of the line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
so
The slope of the given line is
[tex]m=\frac{2}{3}[/tex]
step 2
Find the y-intercept b
we have
[tex]m=\frac{2}{3}[/tex]
[tex](-5,-2)[/tex]
substitute in the linear equation
[tex]-2=(\frac{2}{3})(-5)+b[/tex]
solve for b
[tex]-2=-\frac{10}{3}+b[/tex]
[tex]b=-2+\frac{10}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
step 3
Find equation of the line that passes through the given point and is parallel to the given line
we have
[tex]m=\frac{2}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
substitute
The equation of the line is
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
Final answer:
To find the equation of a line that is parallel to a given line and passes through a specific point, use the fact that parallel lines have the same slope. Find the slope of the given line, substitute the slope and the point into the slope-intercept form of a line to find the y-intercept, and write the equation with the new slope and y-intercept.
Explanation:
To find the equation of a line that is parallel to a given line and passes through a specific point, we need to use the fact that parallel lines have the same slope. The given line, y = -2x + 7, has a slope of -2. So, the parallel line we need to find will also have a slope of -2.
Now, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. Since we know the slope is -2 and the point (4,1) lies on the line, we can substitute these values into the equation to find the y-intercept:
y = -2x + b
1 = -2(4) + b
1 = -8 + b
b = 9
Therefore, the equation of the line that passes through (4,1) and is parallel to y = -2x + 7 is y = -2x + 9.
Which of the following does NOT have a value of -5?
F. 1/4 - 5 1/4.
G. -10 ➗ 2
H. -20 x 0.25
J. -13 + 18
Answer:
J
Step-by-step explanation:
All of the other ones have a value of -5 except for J which has a value of 5.
HELP PLEASE ILL MAKE YOU BRAINLY PLEASE
Answer: (19,520-1,478) x 8
what is reciprocal of 6 and 13
Answer:
Step-by-step explanation:
1/6 and 1/13
Pizza Rama sells large pizzas for $8.99 each with a delivery fee of $3 per order. Which equation can be used to find y, the total price of the order for x pizzas?
a. y = 11.99x
b. y = 3x + 8.99
c. y = 8.99x - 3
d. y = 8.99x + 3
Answer:
y=8.99+3
Step-by-step explanation:
we will make
x=how many large pizzas are sold
and a flat fee of $3 because they did delivery and do not pick it up them selves
so it would look like this
y=8.99x+3 to find the total cost
and it's not
y=8.99x-3 because they are not getting $3 dollars off their purchase!
USING SUBSTITUTION, WHAT IS
Y=-×-6
Y=×-4
Answer:
x=-1, y=-5. (-1, -5).
Step-by-step explanation:
y=-x-6
y=x-4
----------
-x-6=x-4
-x-x-6=-4
-2x-6=-4
-2x=-4+6
-2x=2
x=2/-2
x=-1
y=-1-4
y=-5
Answer:
Step-by-step explanation:
Hajdiabndodisba djdk
6. Savannah leaves Redlands driving due north at
55 mph. Luke leaves Redlands at the same time
and drives due south at 62 mph. How far apart
are they after 3 hours?
How many times does 7 go into 18
Answer:
Twice.
Step-by-step explanation:
7 times 2 is 14.
So it can only go in 2x.
Answer:
Seven goes into 18 twice
Step-by-step explanation:
7×2=14
Tesha withdrew $22.75 each week for four four weeks from her saving account to pay for her piano lessons. By how much did these lessons change her saving account balance?
Answer:by $91
Step-by-step explanation:
In total she withdrew $91 for her piano lessons
22.75x4=91
Answer:
91$
Step-by-step explanation: