Answer:
The equation of the line would be y = -15/24x + 6
Step-by-step explanation:
In order to find the equation of the line, you need to start by using the slope formula with the points given. This will give you the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 7/2)/(-8 - 4)
m = (15/2)/-12
m = 15/-24
m = -15/24
Now that we have the slope, we can use that and either point to find the equation in point-slope form.
y - y1 = m(x - x1)
y - 11 = -15/24(x + 8)
y - 11 = -15/24x - 5
y = -15/24x + 6
Answer:The answer on ed is y= -5/8x + 6
Step-by-step explanation:
Kayla's age is 3 less than twive her brother's age. Kayla is 13 years old. How old is her brother?
Answer: 6
Step-by-step explanation:
3 times 2
The range of relation is
Answer:
A
Step-by-step explanation:
The range is the set of y values, that is the output
Enrique collected 7 more than 2 times as many recyclable bottles,b, as Natasha collected.Write an expression for the number of bottles Enrique collected in all
Answer:
an expression for the # of bottles enrique collected in all would be 2b+7
Step-by-step explanation:
Someone please help!!! and show work cause I dont understand this topic!
Answer:
number 1 is A number 2 i don't know
Step-by-step explanation:
What quantity of salt would you need to make a double recipe? Alfredo sauce INGREDIENTS: 1 cup milk 1 cup cream cheese 1 cup Parmesan cheese 1 cup parsley 1 teaspoon garlic 1 teaspoon pepper 1 2 teaspoon salt Write your answer as a fraction or as a whole or mixed number. teaspoons Questions
To make a double recipe of Alfredo sauce, the quantity of salt required would be doubled from 1 1/2 teaspoons to 3 teaspoons.
Explanation:To determine the quantity of salt needed to make a double recipe of Alfredo sauce, we need to look at the original recipe. The original recipe calls for 1 1/2 teaspoons of salt. To make a double recipe, we simply multiply the quantity of each ingredient by two. So, for the salt component, that would be:
1 1/2 teaspoons × 2 = 3 teaspoons.
Therefore, you would need 3 teaspoons of salt to make a double recipe of Alfredo sauce.
Write the equation of the line that passes through point (-10, -5) and is parallel to the line represented by the equation y = -2x + 7.
Answer:
y + 5 = -2(x + 10)
Step-by-step explanation:
To make the line parallel, we need the same slope as the line. Because it is in slope-intercept form, we know that the slope, or [tex]m[/tex], equals -2.
Also, because we have the point that it passes through, we have enough information to put the values into point-slope form, which is:
[tex]y-y_{1}=m(x-x_{1})[/tex]
y + 5 = -2(x + 10)
The reason I made the subtraction signs to addition signs is because a negative times a negative equals a positive.
Kali runs 10 laps around a track each day each lap around the track is 400 meters how may days will it take Kali to run a total of 12 kilometers
Answer:
30
Step-by-step explanation:
Convert 12 km to metres
1000 m = 1 km
12 km = 12 × 1000/1
Distance = 12 000 m
Kali takes 1 day for 400 m, so
Time = 12 000 × 1/400
Time = 30 da
It will take Kali 30 da to run 12 km.
Answer:
30
Step-by-step explanation:
Please help!
(Ignore the 2 on the second blank)
First blank:
A. Commutative property
B. Multiplication property
C. Division property of equality
D. Subtraction property of equality
Second blank:
A. 2
B. 6.5
C. 19.5
D. 84.5
Answer:
D. Subtraction property of equality
B. 6.5
Step-by-step explanation:
First blank:
The equation is x + 6.5 = 13.
To solve the equation, you want x alone on the left side, showing "x = some number." Since 6.5 is being added to x, you need to SUBTRACT 6.5. You must do the same operation to both sides of an equation, so you need to SUBTRACT 6.5 from both sides of the equation. What allows you to subtract the same number from both sides of an equation is the
D. Subtraction property of equality
Second blank:
Subtract 6.5 from both sides.
x + 6.5 = 13
x + 6.5 - 6.5 = 13 - 6.5
x = 6.5
Answer: B. 6.5
Plz help with question
Answer:
a. Right triangle b. isosceles triangle c. scalene triangle
Answer:
a. right, scalene
b. isosceles and acute
c. obtuse and scalene
Step-by-step explanation:
A triangle with a 90 degree angle is a right triangle. Since none of the sides are marked as the same length, we can assume they are not equal, and therefore are scalene ( no sides the same length)
A triangle with 2 angles that are equal is an isosceles triangle. In this diagram, none of the angles appear to be larger than 90 degrees. If none of the angles are larger than 90 degrees, than the triangle is acute.
A triangle with with an angle larger than 90 degrees is an obtuse triangle. Since none of the sides are marked as the same length, we can assume they are not equal, and therefor are scalene ( no sides the same length)
the box plots show the high temperatures in may and september for denver in degrees in fahrenheit. which can you tell about the mean temperatures for these two months?
Answer:
The mean temperature for May is higher than September's mean.
The mean temperature of May is higher than the mean temperature of September.
Step-by-step explanation:The mean is calculated from the box-plot as follows:
It is the ratio of Sum of (Least value, greatest value, Lower quartile i.e. [tex]Q_1[/tex] , Median i.e. [tex]Q_2[/tex] and Upper quartile i.e. [tex]Q_3[/tex] ) to the number of points i.e. 5.
Hence, From the Box plot of May we have:Least value=52
Greatest value=79
Lower quartile or first quartile i.e. [tex]Q_1[/tex]=63
Middle quartile or Median i.e. [tex]Q_2[/tex]=71
Upper quartile or Third quartile i.e. [tex]Q_3[/tex]=73
[tex]Mean=\dfrac{52+63+71+73+79}{5}\\\\\\Mean=67.6[/tex]
Hence, From the Box plot of September we have:Least value=47
Greatest value=88.5
Lower quartile or first quartile i.e. [tex]Q_1[/tex]=52
Middle quartile or Median i.e. [tex]Q_2[/tex]=62
Upper quartile or Third quartile i.e. [tex]Q_3[/tex]=77.5
[tex]Mean=\dfrac{47+88.5+52+62+77.5}{5}\\\\\\Mean=65.4[/tex]
Hence, the mean of May is higher as compared to September.
One high speed internet provider and has a $30 setup fee and charges $40 per month. Another provider has a $60 setup fee and charges $30 per month. In how many months will the cost be the same?
A business owner spent $4000 for a computer and software. For bookkeeping purposes, he needs to post the price of the computer and software separately. The computer costs 4 times as much as the software. What is the cost of the computer?
Answer:
$3200
Step-by-step explanation:
Let price of computer be [tex]c[/tex] and price of software be [tex]s[/tex]
From this statement, we can write: [tex]c+s=4000[/tex]
"The computer costs 4 times as much as the software"From this statement, we can write: [tex]c=4s[/tex]
Substituting 2nd equation into the first and solving for [tex]s[/tex]:
[tex]c+s=4000\\(4s)+s=4000\\5s=4000\\s=\frac{4000}{5}=800[/tex]
We want to know price of computer, which is 4 times this, so we have:
[tex]c=4(800)=3200[/tex]
Thus, the computer costed $3200
You are on a cycling trip around Europe with friends. You are coming towards the end of your trip and have been asked by an online cycling blog to give some details about the cost of your trip, the places you visited and how many kilometres you have cycled. Look at your kilometres cycled record for each week:
Answer:
Based on the questions asked on the screen shot of the problem, the range of time spend cycling each week is 16 hours and the average number of calories burned per day in week 5 was 1200.
Step-by-step explanation:
Given the data in the problem for the number of weeks versus the amount of hours spent cycling, in order to find the range you would subtract the highest number of hours in a given day (22 - week 4) by the lowest number of hours in a given day (6 - week 1), or 16. For week 5, if you were to burn 8400 calories for the week, assuming that you cycled for all seven days, you would take your total calories burned and divide by the number of days to get approximately 1200 calories per day.
Solve the following systems using the ELIMINATION METHOD.
y=4x-5
y=3x+7
[tex]\left\{\begin{array}{ccc}y=4x-5\\y=3x+7&|\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=4x-5\\-y=-3x-7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=x-12\qquad\text{add 12 to both sides}\\\qquad\boxed{x=12}\\\\\text{Substitute the value of x to the first equation}\\\\y=4(12)-5\\y=48-5\\\boxed{y=43}\\\\Answer:\ x=12\ and\ y=43.[/tex]
A sales clerk at a car stereo store works for commission only. If 15% of the people purchase an item where the clerk gets a $3 commission, 30% purchase an item where the clerk gets a $5 commission, and if 55% purchase an item where the clerk gets an $8 commission, what is the expected value per customer who enters the store?
Answer:
The expected value per customer = $6.35.
Step-by-step explanation:
The probability for a $3 commission = 15% = 0.15.
The probability for a $5 commission = 30% = 0.30.
The probability for a $8 commission = 55% = 0.55.
So, the expected value per customer = 3(0.15) + 5(0.30) + 8(0.55)
= 0.45 + 1.50 + 4.40
= 6.35.
Hence, the expected value per customer = $6.35.
In March Delphine’s house had 40% more snowfall than in February. Delphine’s house has F centimeters of snowfall in February
Answer: In March Delphine's house has 1.4*F centimeters of snow.
Step-by-step explanation:
We know that in March, the snow was 40% more than in Februray.
First we need to write 40% in decimal form, for this we divide it by 100%
40%/100% = 0.4
Now, in Februray Delphine's house has F centimeters of snow.
If F corresponds to the 100%, 0.4*F corresponds to the 40%
Now, in march we have a 140% of snow, this is:
Snow = F + 0.4*F = 1.4*F
In March Delphine's house has 1.4*F centimeters of snow.
how to do this
please help me
Answer:
mmmmm Alright its pretty simple the Answers for the first question is
1.) Exact form: 1/30, and Decimal form: 0.03.......... ? Why
Step 1: Well To write 1/3 as a fraction with a common denominator, multiply by 3/3.Step2: Write each expression with a common denominator by 9, by multiplying each by an appropriate factor of 1. Step 3: Combine the numerators over the common the denominator, simplify the numerator. Step 4: Move the negative in front of the fraction, to write 1/2 as a fraction with a common denominator multiply by 2/2. Step 5: Write each expression with a common denominator of 4, by multiplying by both each y an appropriate factor of 1: (This step is just like step 3 above)
Hope this info helps, and have a nice day :)
Step-by-step explanation:
3(x - 5) + 2 (3x + 1) = 45 solve for x
Answer:
6.444.... or 6&4/9
Step-by-step explanation:
3(x-5)+2(3x+1)=45<------distributive property
3x-15+6x+2=45 <------combine like terms
9x-13=45 <------addition property of equality
9x=58 <------division property of equality
x=6.444...
uppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5
Answer:
An equation for the inverse variation y = 2 when x = 5 is:
y=10/x
Step-by-step explanation:
Suppose that y varies inversely with x:
y=k/x
Write an equation for the inverse variation y = 2 when x = 5
Substituting y by 2 and x by 5 in the formula above:
2=k/5
Solving for k: Multiplying both sides of the equation by 5:
5(2)=5(k/5)
10=k
k=10
Then the equation is:
y=k/x
y=10/x
Please answer this for me!!! Thanks!
Answer:
18x - 32
combine the like terms and then you get this.
Lawrence just got a $1,500 bonus and is debating between buying a new computer for $700 and buying a home theater for $1,200. He decides to buy the computer. What best explains the benefit and opportunity cost of his purchase?
Answer:
well now he has one of the things that he wanted and he has some money in the bank to build up interest or to have for an emergency. it was also good because it was the cheaper of the two items.
have a good day!
Answer:
Amount of Bonus received by Lawrence = $1500
Cost Price of the computer = $700
Cost price of a home theater = $1200
Now, Lawrence decides to buy a computer.
And we need to find the benefit and the opportunity cost of his purchase.
Since, The cost price of the computer is less than that of the bonus received by him.
So, He will be in benefit for sure.
Opportunity cost = 1500 - 700
= $800
Use the figure below to answer the questions
Please help!!
a. Name two pairs of alternate interior angles.
b. Name four pairs of corresponding angles..
Answer:
Two pairs of alternate interior angles are→1) ∠3 , ∠5 and ∠4 , ∠6
and 2) ∠7 , ∠9 and ∠8 , ∠10
Four pairs of corresponding angles are → 1) ∠1 , ∠5 and ∠2 , ∠6
2) ∠4 , ∠8 and ∠3 , ∠7
3) ∠5 , ∠9 and ∠6 , ∠10
and 4) ∠8 , ∠12 and ∠7 , ∠11
Step-by-step explanation:
When two parallel line cuts by a another line (transversal).Then,
Alternate interior angles → it is the pair of a angles on the inner side of each of those two lines but on opposite sides of the transversal.
hence in the given figure
1)∠3 , ∠5 and ∠4, ∠6 and 2)∠7 , ∠9 and ∠8 , ∠10 are two pairs of alternate interior angles.
Now,
Corresponding angles → the angles are the ones at the same location at each intersection.
Hence in the given figure
1) ∠1 , ∠5 and ∠2 , ∠6 2) ∠4 , ∠8 and ∠3 , ∠7 3) ∠5 , ∠9 and ∠6 , ∠10 and 4) ∠8 , ∠12 and ∠7 , ∠11 are four pairs of corresponding angles.
at the beginning of the month,Jim's bank alance was $275.38. during the month he wrote the following checks :$174.89,$68and $57.76. he made deposite of $ 250 and 350. find his bank balance at the end of the month.
Answer:
275.38 - 174.89 - 57.76 = -25.27
-25.27 + 250.00 + 350 = 574.73
Jim's Bank Balance at the end of the month is $574.73
Answer:
Jim's Bank Balance at the end of the month is $574.73
Step-by-step explanation:
Jim's Bank Balance at the beginning of the month = $275.38
LESS :- Checks paid during the month
(-) 1st Check = $174.89
(-) 2nd Check = $68
(-) 3rd Check = $57.76
ADD :- Deposits made in bank
(+) 1st Deposit = $250
(+) 2nd Deposit = $350
TOTAL = $574.73
Jim's Bank Balance at the end of the month is $574.73
what is the initial value of the linear function that represents this situation
Answer:
As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.
Let x represented day and y represents the number of photo
Total number of 24 photo in x days is, 24x
then; as per the given statement our equation becomes;
y = 24x+44 .....[1]
now, to find the total number of photos took by Hannah for 6 days in Rome;
put x = 6 in [1] we get;
y = 24(6) + 44 = 188
Therefore, the total number of photos on Hannah's Camera is, 188 photos.
To, find the initial value for the linear function y =24x +44.
Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.
Substitute x =0 in y =24x +44
y= 24(0) + 44
y = 0 + 44
y = 44
Therefore, the initial value for the equation y =24x+44 is 44 photos.
Answer:its 44 photos!
what is 4.8×10^4 in standard notation
can someone please help me with this
Someone please help me with this question? Thanks if you!
Answer:
B
Step-by-step explanation:
A secant is a straight line which intersects a circle at 2 points
The only line which does this is XY → B
In a pet rescue shelter, 50% of the animals are cats and 40% of the cats are black. What percentage of the animals at the shelter are black cats?
Answer:
20% are black cats.
Step-by-step explanation:
This is 40% of 50%
= 0.40 * 0.50
= 0.20
= 20%
20% of the animals at the shelter are black cats.
What is described in the question ?In a pet rescue shelter, 50% of the total number of animals are cats.
Also 40% of the total number of cats are black.
What percentage of all sheltered animals are black cats ?Percentage of cats in all sheltered animals is 50%
Percentage of black cats in all sheltered animals is 40% of all cats,
i.e. 40% of 50% of the animals at the shelter are black cats.
= [tex]\frac{40}{100}[/tex]×[tex]\frac{50}{100}[/tex] of the animals at the shelter are black cats.
= [tex]\frac{20}{100}[/tex] of the animals at the shelter are black cats.
= 20% of the animals at the shelter are black cats.
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whats the answer please tell me
Answer:
2 out of 10 or 2/10
Step-by-step explanation:
1 brown shoes + 7 black shoes = 8
that means there were 2 other students wearing neither so out of the 10 students 2 weren't wearing black or brown shoes making 2/10
Answer:2 student not wearing any of the color
Step-by-step explanation:
1 student wearing brown Brown and black 1+7=8
7student wearing black
And 2 students wearing none of the above
So the answer would be 2 kids not wearing black or brown
Hope this helped
a social networking site recorded that 80 per-cent of people who became members of the site one month were between 30 and 40 years old the equation below represents information where X represents the total number of people who became members of the site that month
x=0.8x +72
how many people who became members of the site that wants where between 30 and 4 years of age
Answer:
x=360 30-40 yrs =288
Step-by-step explanation:
multiple 72 by .05 (36) to find 10 percent, then multiple 80 percent by that number(36) then add both numbers together to get total number of members that month
(72x.05)=36x2+(.80x36)=288
288+72=360
The Number of people who became members in month, x = 5 are 76
The equation given represents a linear expression representing :
x = total number of people who became members that monthTo obtain the number of people who became members in a particular month, we input the value of x into the equation and calculate the output :
For instance, if Number of month, x = 5
The Number of people who became members is :
y = 0.8(5) + 72
y = 4 + 72
y = 76
Hence, the Number of people who became members in month, x = 4 are 76
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