Given the graph of a line y=−x. Write an equation of a line which is perpendicular and goes through the point (8,2).
Answer:
y = x - 6
Step-by-step explanation:
The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1. Thus,
y = mx + b becomes 2 = 1(8) + b, so that b = -6.
The desired equation is y = x - 6.
Check: Does (8,2) lie on this line? Is 2 = 8 - 6 true? YES.
Answer:
Y=X-6
Step-by-step explanation:
JOOOHNNNNN CENNAAAAA
What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)
Mon - 65°
Tues - 67°
Wed - 66°
Thur - 70°
Fri - 72°
Sat - 68°
Sun - 69°
Construct a line graph.
Find the mean, median, mode, and range.
Construct a stem-and-leaf plot.
Survey people about the weather.
Hi!
Here is the leaf plot:
6 ║ 5, 6, 7, 8 , 9
7 ║0, 2
A box o 25 light bulbo is shipped to a hardware store when it arrives four of the bulbs are broken predict the number of broken Light bulbs in an order of 125 bulds
if 14 giant solar power plants generate 2.6 gigawatts of energy to power 1.8 million homes how many homes can 28 solar panels power
Doubling the number of giant solar power calculation plants from 14 to 28 would theoretically power double the number of homes, which is approximately 257,142 homes.
If 14 giant solar power plants generate 2.6 gigawatts of energy to power 1.8 million homes, we can calculate the number of homes that 28 solar panels can power by first determining the number of homes one plant can supply energy for.
Powering 1.8 million homes with 14 plants means each plant powers 1.8 million / 14 = 128,571 homes approximately.
If we assume a direct scale-up, doubling the number of solar power plants to 28 would theoretically double the number of homes that can be powered, hence 28 plants would power 128,571 homes × 2 = 257,142 homes approximately.
However, the question seems to have a typo because usually power capacity is specified for power plants and not individual solar panels.
So, doubling the number of solar panels, not power plants, wouldn't necessarily mean doubling the total power capacity because individual solar panels have a much smaller capacity than an entire power plant.
Learn more about solar power calculation here:
https://brainly.com/question/30778911
#SPJ12
A new sidewalk will be 5 feet wide, 240 feet long, and filled to a depth of 9 inches (0.75) with concrete. How many cubic yards of concrete are needed?
In order to build the sidewalk, they would need around 33 yrds^3 of concrete. This is because the problem is asking for the volume of the sidewalk. First, we need to convert everything into yards. The final answers we would get would be (5/3) (80) and (0.25). If we were to use the formula for volume, it would be V=lwh. With that incorporated, the answer would be 33.3333333 yrds^3 of concrete to be exact.
The volume of the sidewalk can be calculated using the formula for the volume of a rectangular prism, V = length x width x depth. The volume in cubic feet is then converted to cubic yards as concrete is sold in cubic yards. Therefore, approximately 33.3 cubic yards of concrete are needed for the sidewalk.
Explanation:To calculate the amount of concrete needed for a sidewalk, we first need to find the volume of this sidewalk in cubic feet and then convert it to cubic yards because concrete is usually sold in cubic yards. The given dimensions of the sidewalk are 5 feet wide, 240 feet long, and a depth of 0.75 feet (9 inches).
The volume (V) of a rectangular prism (which in this case is the sidewalk) can be calculated using the formula V = length x width x depth. Therefore, V = 5 ft (width) x 240 ft (length) x 0.75 ft (depth) which gives us 900 cubic feet.
Next, we need to convert cubic feet to cubic yards because concrete is sold in cubic yards. One cubic yard is equivalent to 27 cubic feet. Therefore, the volume of concrete in cubic yards is 900 cubic feet ÷ 27 = 33.3 cubic yards. So, you will need approximately 33.3 cubic yards of concrete to build this sidewalk.
Learn more about Volume Calculation here:https://brainly.com/question/33318354
#SPJ3
Can anyone help me? I would really appreciate it. Thanks in advance.
∠AKJ ≅ AIH because they are corresponding angles
60° = AIH by substitution
ΔAIH
∠A + ∠I + ∠H = 180° per the triangle angle sum theorem
x + 60 + 56 = 180 substituted known values
x + 116 = 180 added like terms
x = 64 subtracted 116 from both sides
Answer: 64°
Place value of 6 in 2.675 and 1 in 804.721
Which diagram BEST represents the line of best fit for the scatterplot?
A)
B)
C)
D)
Answer: C looks like the best fit.
Answer:
C
Step-by-step explanation:
A scatterplot best fit line looks as thought the distance of the points above the line are the same as the points below the line in this case. See the comment under d for more.
A
All the points are above the line
B
Only a very few points come close to the line. Left right is more at work here rather than up and down.
C Answer
D
The average of those above the line might be the same as below the line, but the symmetry is a left right symmetry; all the downs are on the left and all the ups are on the right.. They might average out to be 0 but it is not what is meant. The x and y values both have something to do with the answer. D is the second best answer.
How many two-thirds are in four-thirds
2 two-thirds are in four-thirds because 4 divided by 2 is 2
Trevor plans on buying a car. Four banks offer the annual interest rates shown.
Which list shows these interest rates in order from greatest to least
3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%
Solution
In order to find greatest to least number, we have to convert the given fractions into decimals.
3 [tex]\frac{1}{10}[/tex] % = 3 + 1/10 = 3 + 0.10 = 3.10%
3 [tex]\frac{2}{5}[/tex]% = 3 + 2/5 = 3 + 0.40 = 3.40%
3 [tex]\frac{1}{4}[/tex] %= 3 + 0.25 = 3.25%
3 [tex]\frac{1}{3}[/tex]% = 3 + 0.33 = 3.33%
Now we can easily, compare the numbers and write from greatest to least.
3.40%, 3.33%, 3.25%, 3.10%
Greatest to least = 3 2/5%, 3 1/3%3, 3 1/4%, 1/10%,
Thank you :)
Answer:
3 2/5%, 3 1/3%, 3 1/4%, 3 1/10%
Step-by-step explanation:
13_,644 130,000 this # was rounded to nearest ten thousand list the possible digits that could go in the thousands place to make this statement correct
We have two rules in case of rounding off digits,
Rule 1:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.
Rule 2:
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
We are given the number 13_,644 which rounds off to 130,000.
Now as we can see the number is rounded down, so we can apply rule number 2 here.
If we place the digit 0, 1, 2, 3 or 4 then the number will round off to 130,000.
Answer: The possible digits that can go in thousands place are 0, 1, 2, 3 or 4.
What type of number is 67
it is an odd number. it is also a prime number . ie only divisible by one and itself.
A play is performed for a crowd of 400 people. Adult tickets cost $22 each, student tickets cost $15 each, and tickets for children cost $13.50 each. The revenue for the concert is $7840. There are 40 more children at the concert than students. How many of each type of ticket are sold?
Answer:
280 adult tickets, 40 student tickets and 80 children tickets were sold.
Step-by-step explanation:
To solve this problem let's call:
x = number of tickets for adults
y = number of tickets for students
z = number of tickets for children
The income for the concert is $ 7840
Then we can raise the following equations according to the given conditions:
[tex]x+y+z = 400[/tex] (i)
[tex]22x+15y +13.50z = 7840[/tex] (ii)
There are 40 more children in the concert than students:
So:
[tex]z=40+y[/tex] (iii)
We then have 3 equations and 3 unknowns:
To solve the system we multiply the equation (i) by -22 and add it to the equation (ii)
So:
[tex]-22x-22y-22z=-8800[/tex]
+
[tex]22x+15y +13.5z =7840 [/tex]
[tex]-7y-8.5z = -960[/tex] (iv)
Now we multiply (iii) by 7 and add it to (iv)
[tex]7y-7z = -280 [/tex]
+
[tex]-7y-8.5z = -960[/tex]
[tex]-15.5z = -1240 [/tex]
[tex]z = 80[/tex] (v)
We substitute (v) in (iv) and we have
[tex]y = 40[/tex] (vi)
We substitute (v) and (vi) into (i) and we have:
[tex]x =280[/tex]
280 adult tickets, 40 student tickets and 80 children tickets were sold.
the cost of 500000 worth of 30 year term life insurance for Edna is $121.04 per month if Edna's employer covers 80% of this cost how much is deducted from Edna's gross income per year for life insurance?
Answer:
$290.50
Step-by-step explanation:
121.04 * 80% = 96.832
121.04 - 96.832 = 24.208
24.208 * 12 = 290.496 ~ 290.50
Please Help if you can! There are 2 red gumdrops and 3 green gumdrops in a small jar. Also, 3 pieces of butterscotch candy and 2 pieces of cinnamon candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will get a red gumdrop and a piece of butterscotch candy? The Answer choices are 6/25, 1/2, 4/25, or 1/5! Thank you!
The probability of drawing a red gumdrop is [tex]\( \frac{2}{5} \)[/tex] and butterscotch candy is [tex]\( \frac{3}{5} \)[/tex]. Combined, it's [tex]\( \frac{6}{25} \)[/tex]. Answer: A.
To find the probability that Craig will draw a red gumdrop and a piece of butterscotch candy, we need to find the probability of each event separately and then multiply them together because the events are independent.
1. Probability of drawing a red gumdrop:
[tex]\[ P(\text{red gumdrop}) = \frac{\text{number of red gumdrops}}{\text{total number of gumdrops}} \][/tex]
[tex]\[ P(\text{red gumdrop}) = \frac{2}{2 + 3} = \frac{2}{5} \][/tex]
2. Probability of drawing a piece of butterscotch candy:
[tex]\[ P(\text{butterscotch candy}) = \frac{\text{number of butterscotch candies}}{\text{total number of candies}} \][/tex]
[tex]\[ P(\text{butterscotch candy}) = \frac{3}{3 + 2} = \frac{3}{5} \][/tex]
Now, multiply the probabilities together:
[tex]\[ P(\text{red gumdrop and butterscotch candy}) = P(\text{red gumdrop}) \times P(\text{butterscotch candy}) \][/tex]
[tex]\[ P(\text{red gumdrop and butterscotch candy}) = \frac{2}{5} \times \frac{3}{5} \][/tex]
[tex]\[ P(\text{red gumdrop and butterscotch candy}) = \frac{6}{25} \][/tex]
So, the probability that Craig will get a red gumdrop and a piece of butterscotch candy is [tex]\(\frac{6}{25}\)[/tex], which corresponds to option A.
The correct question is:
Here are 2 red gumdrops and 3 green gumdrops in a small jar. Also, 3 pieces of butterscotch candy and 2 pieces of cinnamon candy are in another jar. If Craig draws one piece of candy from each jar without looking, what's the probability that he will get a red gumdrop and a piece of butterscotch candy? The Answer choices are
A. 6/25
B. 1/2
C. 4/25
D. 1/5
Raphael is twice as old as his sister is. The sum of their ages is less than 30. What is the greatest age Raphael’s sister can be?
The greatest age Raphael's sister can be is 9 years old.
The greatest age Raphael's sister can be is 11 years old.
The greatest age Raphael's sister can be is 20 years old.
The greatest age Raphael's sister can be is 10 years old.
Lets solve each one :
If she is 9 :
9 times 2 = 18 + 9 = 27
If she is 11 :
11 times 2 = 22 + 11 = 33
If she is 20 :
20 times 2 = 40 + 20 = 60
If she is 10 :
10 times 2 = 20 + 10 = 30
You pick your answer :)
I hope this helped!
Have a great day!!!
The greatest age Raphael's sister can be is 10 years old.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
Given that, Raphael is twice as old as his sister is. The sum of their ages is less than 30.
Let the age of Raphael's sister be x,
2x + x = 30
3x = 30
x = 10
Hence, The greatest age Raphael's sister can be is 10 years old.
For more references on equations, click;
https://brainly.com/question/10413253
#SPJ2
The some of three consecutive integers is 33 more than the least of the integers. Find the integers
Let the smallest number = x
The next higher number would be x +1
The 3rd number would be x +2
The sum of the 3 numbers: x + x+1 + x+2
33 more than the smallest number is written as x+33
Now you have:
x + x+1 + x+2 = x+33
Simplify the left side:
3x +3 = x +33
Subtract 3 from each side:
3x = x +30
Subtract 1x from each side:
2x = 30
Divide both sides by 2:
X = 30/2
x = 15
The three numbers are 15, 16 and 17
There was a beautiful Japanese garden. Within the garden, there is a pond. Since the beginning of summer, lilies have started to cover more and more of it with every passing day. In fact, the quantity of lilies doubles every day. By day 58, the entire pond will be covered. How many days will it take the lilies to cover half the pond?
Answer:
57 days
Step-by-step explanation:
Given that there was a beautiful Japanese garden.
Also given that within the garden, there is a pond.
Since the beginning of summer, lilies have started to cover more and more of it with every passing day.
In fact, the quantity of lilies doubles every day.
By day 58, the entire pond will be covered.
Since given that every day lilies double, we find that if on 58th day it was full, then exactly one day before it should be 1/2 of pond. In that case only, on 58th day pond can become full.
Hence half pond is filled with lilies in 57 days.
the clock loses 12 minutes every hour. it shows the correct time right now which is 3. when will the clock show the correct time again
10:00 will show trhe corect tiem
Use the partial quotient to solve 673÷5
Zach has 3/4 hour play video games. It takes him 1/12 hour to set up the stystem. Each round of his favorite game takes 1/6 hour. How many rounds can he play.
He can play 4 rounds. If you find a common denominator, it would end up with 9/12 of an hour to play and then you subtract the 1/12 it took to set it up. this leaves you with 8/12. but, it takes 2/12 of an hour to play each round. so 8 divided by 2 is 4. Which is where the 4 rounds is from!
(10 points) State the relationship between segments MA and TH. Explain.
Find the totals of both Angle s A and T by adding the 2 angles in each corner:
Angle A = 58 + 32 = 90 degrees
Angle T = 46 + 44 = 90 degrees.
Becuase both these angles are 90 degrees Lines AM and TH are parallel.
write an equation for each translation of y = x 6 units left
Hi the answer is:
y = IxI + 6
What is the difference from -83883838838383888-88888888939393
Someone please help me with this!!
PEMDAS tells us to use multiplication and division before addition and subtraction.
-5(8) ÷ 10 - 14 ÷ 7 - (-2)(3)
-40 ÷ 10 - 2 - -6
-4 - 2 + 6 two negatives make a positive so - - 6 = + 6
-6 +6
0
Answer: 0
Darcy and Leah are looking at some fabric selections in a store. All of the selections are marked the same price, and the amount, in yards, of each fabric is written as an improper fraction. Which amount is the greatest?
A. 43⁄5
B. 78⁄9
C. 33⁄4
D. 22⁄3
B)
A= 8.6
B=8.66666...
C=8.25
D=7.33333...
Which of the following is usually the first step in solving a system of nonlinear equations by substitution
Answer:it is isolating one of the variables...
Step-by-step explanation:
Apex
Answer:
isolating the variable
Step-by-step explanation:
Greta uses 6 ounces of pasta to make 6 /7 of a serving of pasta. How many ounces of pasta are there per serving?
Answer:
7
Step-by-step explanation:
We know that since 6 ounces creates 6/7 of a serving, that basically says that 1/7 of a serving is created with 1 ounce of pasta. So if there were 7 ounces of pasta, that would make 7/7 servings and that would be 1 serving
the temperature was 80 degrees and then fell 20 degrees
60 degrees?
hope this helps
If the temperature was 80 and it fell to 20 you need to subtract 20 from 80 than giving you the difference in temperature witch is 60 degrees difference.
FINAL ANSWER 60 Degrees Difference.
Hope that helps
Daniel
help algebra. one question.
Jenny's total earnings:
total earnings = (hours worked on design)*40 + (hours worked on maintenance)*35
average earnings = total earnings / hours worked
So far she has
total earnings = 18*40 + 20*35 = $1420
which is an average per hour = $1420/38hr = $37.37
How many more hours on webdesign: x
so that
($1420+x*$40)/(38+x)=38
Now solve for x - this I let you do. My results is x=12 (you can verify by plugging it iback into the equation).
The answer is Jenny needs to work 12 more hours to claim an average earnings of $38/hr. Lmk if you have questions.