Answer:
y = -x + 5
y - 0 = - (x - 8)
y = -x + 8
Step-by-step explanation:
The required equation of the line is y = 8 - x.
Given that,
To determine an equation of the line that passes through the point (8,0) and is parallel to the line x+y=5
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Given equation,
x+y=5
y = -x + 5
m = -1
Since the slope of parallel lines are equals.
So the equation of the line is given as, which is passing by (8,0)
y - 0 = -1 (x - 8)
y = 8 - x
Thus, the required equation of the line is y = 8 - x.
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Sophia wanted to knit a scarf 1 meters long. On Monday, she knit
of the length. On Tuesday, she knit another 45 centimeters.
What fraction of the scarf did she knit altogether?
She knit 1/4 of the total length of the scarf on monday
Answer:
She knit 7/10 of the scarf altogether
Step-by-step explanation:
Please see the attached file for explanation
Ted and Katie have served up a total of $94 Tata saved six dollars less than four times as much is Katie how much has Katie saved
Answer:
Katie saved $20.
Step-by-step explanation:
I assume that "served" is a typo for "saved". Also, I assume that Tata and Ted are the same person.
Let the amount Katie saved = k
Then, ted saved $6 less than 4 times k, or 4k - 6.
The total saved by both is k + 4k - 6.
The total saved by both is $94.
k + 4k - 6 = 94
5k - 6 = 94
5k = 100
k = 20
Answer: Katie saved $20.
Final answer:
To determine the amount Katie has saved, two equations were set up based on the given information. The equations were solved simultaneously to find that Katie has saved $20.
Explanation:
Let's denote the amount Katie has saved as K and the amount Tata has saved as T. According to the problem, Tata saved six dollars less than four times as much as Katie, which we can write as T = 4K - 6. Additionally, we know that together they have saved a total of $94, so we can express this as K + T = 94. Substituting the expression for T from the first equation into the second equation, we get K + (4K - 6) = 94. Simplifying this, we get 5K - 6 = 94. By adding 6 to both sides, we obtain 5K = 100, and dividing by 5, we find that K = 20. Therefore, Katie has saved $20.
Some people were asked for their favorite numbers.
People's favorite numbers between 1 and 5
X
X
X
X
X
HHHHH
1 2 3 4 5
Favorite number
What is the mean of the numbers?
Answer:
3 is the mean.Step-by-step explanation:
To find the mean you need to add up all of the given numbers (order does not matter) then divide by that many numbers.
Add all 5 numbers then divide by 5.
1 + 2 + 3 + 4 + 5 = 15
15 / 5 = 3
I hope this helped!
Answer:
3 is mean
Step-by-step explanation:
What is the median of this set of numbers?
3, 6, 1, 10, 6, 2, 2, 5
A
5
B
3
C
2
D
4
Answer:
d. 4
Step-by-step explanation:
Arranging in ascending order
1 , 2 , 2 , 3 , 5 , 6 , 6 , 10
No of data (N) = 8
Position of median
= (N+ 1) / 2 th item
= (8 + 1) / 2 th item
= 9 / 2 th item
= 4.5 th item
Exact median
= (5 + 3 )/2
= 8/2
= 4
A coat is marked down 40% off the original price. If the
original price was S115.00, what is the sale price of the
coat before sales tax?
Answer:
$69.00
Step-by-step explanation:
Hi there,
In order to solve this problem, I used this formula:
Dollar Markdown = (markdown %)(original price)
You will end up with Markdown = (0.4) (115).
(Be sure to convert the percentage to a decimal value. (ex. 40% = 0.4))
After multiplying, we find that 46 dollars is 40% of the original price.
For the final step, simply subtract the original price by the amount marked down to get $69.00.
Hope this was useful. Cheers.
David has a monthly net income of $1,360. His fixed monthly expenses consist of a rent payment of $450. He is paying off a student loan of
$116 per month
David would like to buy a new television set using a credit card. What is the largest montly payment David can afford for the television set so
that his credit card payments and stuent loan keep him within a safe debt load?
The largest monthly payment David can afford for the television set is $794.
Explanation:To determine the largest monthly payment David can afford for the television set, we need to calculate his monthly expenses and subtract them from his net income. David's fixed monthly expenses consist of a rent payment of $450 and a student loan payment of $116. Therefore, his total monthly fixed expenses are $450 + $116 = $566.
We can subtract David's total monthly fixed expenses from his net income: $1,360 - $566 = $794. This is the maximum amount David can afford to allocate towards credit card payments and still stay within a safe debt load.
So, the largest monthly payment David can afford for the television set is $794.
Bobby and his family went to the playground. The slide is 13
feet long. The end of the slide is 7 feet away from the stairs. The
stairs extend 2 feet higher than the end of the slide. How tall are
the stairs?
Answer:
it would be close to 12 ft im not 100% sure though the measurements are a little off
Step-by-step explanation:
hypotenuse is 13
then you have the adjacent = 7
13^2 = 169
7^2= 49
169-49=120
the square root of 121 is 11 wich is fairly close to 120(doesnt have one because its not exact)
there is two extra feet so 11 +2 is 13 but there was a little less then 11 so i had sid roughly around 12
brainliest, please???
The total height of the stairs can be found by adding the distance from the ground to the end of the slide (7 feet) and the extra height of the stairs (2 feet). This adds up to a total height of 9 feet for the stairs.
Explanation:The subject of the question is Mathematics, and it's suitable for a Middle School level. The problem can be solved using basic addition, and the concept of distance and height.
First, identify the length of the slide, which is 13 feet. Next, you're told that the end of the slide is 7 feet away from the stairs. This distance represents the height from the ground to the end of the slide. Lastly, you're told that the stairs extend 2 feet higher than the end of the slide.
Add these two distances together. So, the total height of the stairs is 7 feet (height to end of slide) plus 2 feet (additional height of stairs) equaling 9 feet.
So, the stairs are 9 feet tall.
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What is 8+7times15 so what is it tell me now
27x+3=6
Whats is x in that problem
Answer:
x=1/3
Step-by-step explanation:
You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3
To solve for x in the equation 27x+3=6, we subtract 3 from both sides, divide both sides by 27, and get the solution x = 1/9.
Explanation:To solve for x in the equation 27x+3=6, we'll start by isolating the variable x. First, subtract 3 from both sides of the equation to get 27x = 3. Then, divide both sides by 27 to find the value of x.
Subtract 3 from both sides: 27x + 3 - 3 = 6 - 3Simplify: 27x = 3Divide both sides by 27: x = 3 / 27Simplify the fraction: x = 1/9Therefore, the solution to the equation is x = 1/9.
Identify the location of the values used to create a box
plot
A= B=
C=
D =
E =
Answer:A= minimum value
B=lower quartile
C=median
D= upper quartile
E= maxuim value
Step-by-step explanation:
Final answer:
A box plot displays the distribution of data based on a five-number summary: minimum, first quartile, median, third quartile, and maximum. It provides insights into the data's distribution, potential outliers, and comparisons of data sets.
Explanation:
The student's question involves the creation and interpretation of a box plot, which is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. To graph a box-and-whisker plot for the given data values, one must first calculate the five-number summary:
Minimum (A): The smallest data value.First quartile (B): The median of the lower half of the data set. This marks the 25th percentile, meaning 25% of the data fall below this value.Median (C): The middle value of the dataset when ordered from least to greatest, which also splits the data into two halves.Third quartile (D): The median of the upper half of the data set. This marks the 75th percentile, so 75% of the data fall below this value.Maximum (E): The largest data value.Once these values are determined, one can create a box plot where the box represents the interquartile range (IQR), stretching from Q1 to Q3, with a line at the median (C). Whiskers extend from the box to the minimum (A) and maximum (E) values. Analyzing the box plot can give insights into the data set, such as the distribution of the data, any potential outliers, and the comparison of different data sets.
Calculate the angle of LOM
Answer:
The angle measurement is 68 degrees
Step-by-step explanation:
The line NL is a straight line, so the angle is 180
NOM and LOM add up to the straight line
Then, subtract 112 from 180 to get 68 degrees as the answer
Answer:
68°
Step-by-step explanation:
1.) 112 + x = 180
2,) subtract 112 to both sides
112 + x = 180
-112 = - 112
x = 68
Which number best represents the situation. "A plane descends 1, 500ft?
1,500
15
-1,500
-15
The graph of which function is decreasing over the interval (–4, ∞)?
Step-by-step explanation:
ok, logic
all of them are parabolas
1st and 3rd are opening up, so they defenitely increase, so no
decraseing
the vertex hs to be be at x=-4
y=a(x-h)^2+k
h has to be -4
y=a(x+4)^2+k
the answer is 2nd one or f(x)=-(x+4)^2+4
Answer:
B
Step-by-step explanation:
Tickets to a spring concert are $5.00 for students and $8.00 for adults. 250 tickets to the concert were sold for a total of $1550. How many tickets adult tickets and how many student tickets were sold?
Answer:
100 adult tickets
150 students tickets
Step-by-step explanation:
First, construct an equation that relates the tickets.
For the first equation, 5x represents $5 per ticket for students and 8y represents $8 per ticket for adult, showing the money earned.
For the second equation, x represents student tickets and y represents adult tickets, showing the tickets sold.
[tex]5x+8y=1550\\x+y=250\\[/tex]
Then, you have to cancel out similar factors. I will multiply the second equation by -5 because that is the easiest option for this specific case.
[tex]-5(x+y=250)\\-5x-5y=-1250\\5x+8y=1550\\3y=300\\y=100[/tex]
We have solved for y, which is how many adult tickets were sold. To solve for student tickets, we will solve the second equation.
[tex]x+y=250\\x+100=250\\x=150[/tex]
As a result we have 100 adult tickets and 150 student tickets.
Hope this helps!! <3
0.8342 as a fraction?
Answer:
4171/5000
Step-by-step explanation:
When diving 4171 by 5000, you get the answer of 0.8342. If you are using a calculator, you can use a button that allows you to convert decimals to fractions and vice versa.
The decimal number 0.8342 as a fraction in the simplest form is 4171/5000.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given decimal number into a fraction as follows;
0.8342 = 8342/10000
By dividing both the numerator and denominator by 2, we have the following
8342/10000 = 4171/5000
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-48 ÷ [-3 (2 - 4) ] = ?
Answer:
The answer is -8
Step-by-step explanation:
By the way, is that Lucy Heartfilia? :D
A system of linear equations graphs as parallel lines. The system has how many solutions?
Answer:
None
Step-by-step explanation:
Parallel lines never intercept, giving no solution points
Which linear equation represents the data given in the table?
The linear equation represents the data given in the table is option D.
calculation:Here we used the elimination process. From the table of values, we can see that the y-intercept is -3 from the point (0,-3)Now y = mx+b where b= the y-interceptAnd option D represent the only equation where b = -3.Find out more information about the equation here: https://brainly.com/question/2263981?referrer=searchResults
Find the range of each set of data.
Answer:
set 1 =11 set 2 =208 Set 2 has the wider spread since the range is bigger
Step-by-step explanation:
range- find the largest number and subtract the smallest number from it
Set 1: 12-1 =11
Set 2: 230-22 =208
Day 1 2 3 4 5
Temperature (°F) 70 72 68 75 70
The temperature for 5 days is shown in the table. If on the 6th day the temperature was 83°, by how much will this increase the overall median temperature?
A) 1°.
B) 2°.
C) 3°.
D) 4°.
Answer:
the answer is b 2
Step-by-step explanation:
Final answer:
Adding a sixth temperature of 83°F to the original data set increases the median temperature from 70°F to 71°F, which is an increase of 1°F. Thus, option A is correct.
Explanation:
The question is asking how much the addition of a sixth day's temperature of 83°F will increase the overall median temperature of the previously recorded five days.
First, we need to arrange the temperatures of the first five days in ascending order: 68°, 70°, 70°, 72°, and 75°. The median of these five numbers is 70°F, which is the middle value.
When we add a sixth temperature of 83°F, the new set of temperatures will be 68°, 70°, 70°, 72°, 75°, and 83°.
With an even number of data points, the median is the average of the two middle numbers which are now 70° and 72°F. The average of 70°F and 72°F is 71°F.
Thus, the new median is 71°F, which is a 1°F increase from the original median of 70°F.
Therefore, the correct answer is A) 1°.
10–{12–[(−9)+(−1)]} answer ASAP please
Answer:
-12
Step-by-step explanation:
-9+(-1) is -10. 12-(-10) is 22. 10-22= -12
Which is the angle of rotational symmetry for the isosceles trapezoid?
Angle of rotational symmetry for the isosceles trapezoid is 180 degrees .
Given, rotational symmetry for isosceles trapezoid .
The trapezium, also known as the trapezoid is a plane figure with four sides, two of which are of equal length.
If the other two sides are also of same length then the figure is said to be isosceles trapezoid .
There is no symmetry in a trapezoid unless it is an isosceles trapezoid. In that case it has one axis of symmetry that cuts the two bases in half. An 180 degree rotation about this axis produces the same figure. There are no other lines of symmetry.
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A right triangular pyramid has a height of 10 inches and a base area of 41.57 square inches. What is the volume, in cubic inches, of the pyramid?
The volume of the rectangular pyramid with the given values of height and base area is 138.5 cubic inches.
What is a right triangular pyramid?A right triangular pyramid is simply a triangular pyramid which has an equilateral base, and whose top is directly above the base's centroid.
The volume of right triangular pyramid is expressed as;
V = 1/3 × b² × h
where b is the length of the base and h is the perpendicular height.
Given the data in the question;
Height of the pyramid h = 10in Base area A = 41.57in²First we find the dimension of the base length.
Since area square is A = b².
Hence;
41.57in² = b²
b = √41.57in²
b = 6.447in
Now, we substitute our values into the expression above.
V = 1/3 × b² × h
V = 1/3 × (6.447in)² × 10in
V = 1/3 × 41.563809in² × 10in
V = 138.5in³
Therefore, the volume of the rectangular pyramid with the given values of height and base area is 138.5 cubic inches.
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Find the distance between (2, 3) and (–4, 4). If necessary, round to the nearest tenth.
Answer:
√37
Step-by-step explanation:
How many triangles can you construct with two 4-inch sides and an 80 degree angle?
Answer:
2
Step-by-step explanation:
The 80° angle can be between the two given sides, or opposite one of them. These are the only two possibilities.
". Which of the following sentences does not represent a function?
A. Notebooks are sold in a four pack for $20
and a five pack for $25.
B. Shaunette charges $20 for one hour of
babysitting and $40 for two hours.
C. Marcy drove 50 miles in one hour today
and 100 miles in two hours yesterday.
D. Timon chewed six gumballs in two hours
today and six gumballs in three hours
yesterday
To be a function, each input must correspond to exactly one output. In all cases except for Timon's gumballs, each distinct input yields a distinct output. Therefore, the sentence about Timon's gumballs does not represent a function.
Explanation:In mathematical terms, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let's go through these situations separately:
Notebooks are sold in a four pack for $20 and a five pack for $25. Here, the input, or the number of notebooks, determines the output, or price. No two outputs are the same for any given input. This is a function.Shaunette charges $20 for one hour of babysitting and $40 for two hours. The input (hours) determines the output (price). Similar to the first example, no two outputs are the same for any one input. This is a function.Marcy drove 50 miles in one hour today and 100 miles in two hours yesterday. The input (time) determines the output (distance traveled). There is a unique output for each input. This is a function.Timon chewed six gumballs in two hours today and six gumballs in three hours yesterday. This time, for different inputs (different hours), the output (number of gumballs chewed) is the same. This does not comply with the definition of a function because a function should have a unique output for each input. Therefore, this sentence does not represent a function.Learn more about Functions here:https://brainly.com/question/35114770
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Please help me with this
Answer:
a b c and e
Step-by-step explanation:
Answer:
The fist one
Step-by-step explanation:
how do you solve this?
Answer:
Step-by-step explanation:
Juanita is booking a 4-night stay at a hotel. The rate is $79 per room plus tax.
If state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total
lodging cost?
Final answer:
To determine the total lodging cost for Juanita's 4-night stay, multiply the nightly rate by the number of nights to get the pre-tax cost, calculate the total tax rate and apply it to the pre-tax cost to find the tax amount, and then add this tax to the pre-tax cost for the total cost. The total lodging cost, including taxes, will be $344.44.
Explanation:
Juanita is trying to calculate the total cost of a 4-night stay at a hotel with a nightly rate and additional taxes. To find Juanita's total lodging cost, a multi-step calculation is required. First, calculate the cost before tax by multiplying the nightly rate by the number of nights. Then, calculate the total tax by adding the state, city, and municipal tax rates and applying this sum to the pre-tax cost to get the total tax amount. Finally, add the tax amount to the pre-tax cost to find the total cost of the stay.
The nightly rate is $79 and she is staying for 4 nights, so the initial cost (before tax) is calculated as follows:
79 x 4 = $316
To calculate the total tax, convert the percentages to decimals and sum them up as follows:
State tax (6%) = 0.06
City tax (2%) = 0.02
Municipal tax (1%) = 0.01
Total tax rate = 0.06 + 0.02 + 0.01 = 0.09
Multiply the total tax rate by the pre-tax cost to find the total tax amount:
0.09 x 316 = $28.44
Finally, add the tax amount to the pre-tax cost to get the total lodging cost:
316 + 28.44 = $344.44
The total cost for Juanita's 4-night stay at the hotel, including all taxes, is $344.44.
Find all values of x in 17/x-12/x-12/(x-1)2
Answer:
Step-by-step explanation:
To solve
17/x-12/x-12/2(x-1)
5/x-12/2x-2
The LCM of x and 2x-2 is x and 2x-2
5(2x-2)-12x/x(2x-2)
10x-10-12x/x(2x-2)
To collect like in numerator
-2x-10/x(2x-2)