bearing in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{1}{3}(x-0) \\\\\\ y=\cfrac{1}{3}x\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3y=x\implies -x+3y=0}\implies \stackrel{\textit{standard form}}{x-3y=0}[/tex]
Matthew is 26 years old. He buys 50/100/25 liability insurance, and collision and comprehensive insurance, each with $250 deductibles.
What is his total annual premium?
Answer:
$1,846.9
Step-by-step explanation:
Liability Insurance 50/100/25
Where 50/100=$310; and 25=$175. The equation is ($310+$175=$485)
Collision & Comprehensive Premiums
Where Deductible=$250; Collision=$185; and Comprehensive=$102. The equation is ($250+$185+$102=$537)
He gets a 25-29 aged male rating factor of 1.55 for each of them. Liability's equation is $310*1.55=$480.5; and for Collision and Comprehensive the equation is $(185+102)*102=$344.4
Added all up ($485+$537+$480.5+$344.4=$1,846.9)
Suki rode her bike 4/5 mile. Claire rode her bike 1/3 mile. they want to compare how far they each rode their bikes using the Benchmark 1/2
Suki rode her bike a longer distance than Claire because when comparing each of their distances to the benchmark of 1/2 mile, Suki's distance (4/5 mile) is greater than the benchmark (1/2 mile), while Claire's distance (1/3 mile) is less than the benchmark. Therefore, Suki rode a longer distance than Claire in relation to the benchmark.
Suki's Distance with Benchmark (1/2):
Suki rode her bike for 4/5 miles.
The benchmark is 1/2 mile.
Comparison: [tex]\frac{4}{5} > \frac{1}{2}[/tex]
Interpretation: Suki's distance ( 4/5 miles) is greater than the benchmark 1/2 mile.
Claire's Distance with Benchmark (1/2):
Claire rode her bike for 1/3 mile.
The benchmark is 1/2 mile.
Comparison: [tex]\frac{1}{3} < \frac{1}{2}[/tex]
Interpretation: Claire's distance ( 1/3 mile) is less than the benchmark 1/2 mile.
Overall Comparison:
Suki's distance (4/5) is greater than Claire's distance (1/3).
Interpretation: Suki rode her bike a longer distance than Claire.
In summary, both Suki and Claire are comparing their distances to the benchmark of 1/2 mile. Suki's distance is greater than the benchmark, while Claire's distance is less than the benchmark. Therefore, Suki rode a longer distance than Claire.
A car dealer Purchased a car for $2000 and then sold it for $3200.right and solve an equation to find the profit.
Answer: $1200 profit
Step-by-step explanation: $3200 - $2000 = $1200
which graph represents the function f(x)=0.25x+5
Answer:
Option D.
Step-by-step explanation:
Consider the given function
[tex]f(x)=0.25^x+5[/tex]
We need to find the graph of given function.
Substitute x=0 in the given function to find the y-intercept of the function.
[tex]f(0)=0.25^(0)+5[/tex]
[tex]f(0)=1+5[/tex]
[tex]f(0)=6[/tex]
So, y-intercept of the function is 6.
[tex](0.25)^x\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]
[tex](0.25)^x\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]
We can concluded that
[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]
[tex]f(x)\rightarrow 5[/tex] as [tex]x\rightarrow \infty[/tex]
Therefore, the correct option is D.
Answer:
D
Step-by-step explanation:
I need help with this question quickly please! Show steps!
Answer:
A y = -x+2
Step-by-step explanation:
To find the slope of the line m we use the formula
slope = (y2-y1)/(x2-x1)
= (-9--7)/(4-2)
= (-9+7)/(4-2)
= -2/2
= -1
When lines are parallel, the slopes are the same. We need to find a line with slope of -1
y = -1x+2 is written in the form y =mx+b where m is the slope
m=-1 so the slope is -1
This line has the same slope so it is parallel to the line above.
Answer:
would be A
Step-by-step explanation:
SLOPE HAS TO BE -1
you roll a fair six sided die the die shows an odd number or number greater than four
Answer:
P (odd number or number greater than 4) = 4/6 = 2/3
Step-by-step explanation:
The solution set { 1,2,3,4,5,6}
Odd numbers are 1,3,5
Numbers greater than 4 are 5,6
Notice that 5 is repeated. We can only count it once
There are 4 answers that meet the criteria (since we can only count 5 once)
P (odd number or number greater than 4) = 4/6 = 2/3
You are making candles for your friends. A mold for the candles cost $22.50 and wax to make one candle cost $5 . Write an algebraic expression for the total cost of making x candles .You make 8 candles. Find the total cost
Expression: 22.50+5(x)
8 candles: $62.50
(11pts)
Which is the best description of the city of Constantinople at the time of the First Crusade?
A) Constantinople was a Muslim city that the Crusaders wanted to occupy.
B) Constantinople was a city where the pope lived and preached the call for the First Crusade.
C) Constantinople was a city that was neutral during the time of the First Crusade.
D) Constantinople was a Christian city from which the Crusaders marched on Jerusalem.
Answer:
C) Constantinople was a city that was neutral during the time of the First Crusade.
Answer:
the eprson is right it is c
Step-by-step explanation:
Lamar wants to determine the movie preferences
Answer:
male comedy: 31 male drama: 9
female comedy: 36 female drama: 24
Step-by-step explanation:
add f+m=100 total
31 males for comedy
40 males - 31 males = 9 males for drama
55% chose comedy so 55-31 males = 24 females for comedy
60 total females - 24 for comedy = 36 females for drama
Answer:
Dramas Comedies
Males 9 31
Females 36 24
Step-by-step explanation:
It is given that Lamar surveyed 40 males and 60 females about whether they prefer dramas or comedies.
Total males = 40
Total females = 60
Total people surveyed = 40 + 60 = 100
It is given that 55% of surveyed people preferred comedies.
People preferred comedies = [tex]100\times \frac{55}{100}=55[/tex]
It is given that males who preferred comedies = 31
Males who preferred drama is the difference of number of males and males who preferred comedies.
Males, drama = 40 - 31 = 9
Females who preferred comedies is the difference of people who preferred comedies and males who preferred comedies.
Females, comedies = 55 - 31 = 24
Females who preferred drama is the difference of number of females and females who preferred comedies.
Females, drama = 60 - 24 = 36
Therefore the table can be filled as
Dramas Comedies
Males 9 31
Females 36 24
In a supermarket bin the number of packages of red to peppers to the number of packages of green peppers is in the ratio of 8 is to 13.The peppers are sold in 2 pound packages.What is the least possible weight of red peppers in the bin?
Answer:
16 pounds
Step-by-step explanation:
The ratio of no. of packages of red pepper to no. of packages of green pepper is given 8 is to 13.
So, atleast 8 packages of red pepper are sold
Therefore, least possible weight of red peppers in the bin = 2×8 = 16 pounds.
The least possible weight of red peppers in a supermarket bin with a ratio of 8 to 13 of red to green peppers, where each package weighs 2 pounds, is 16 pounds.
To find the least possible weight, we assume the smallest number of packages that maintain the ratio. Multiplying both numbers of the ratio by 2 pounds gives us the weight of the red and green peppers, but since we want the least possible weight of red peppers, we'll only calculate for red.
Therefore, if we have 8 packages of red peppers, each weighing 2 pounds, the calculation would be:
8 packages × 2 pounds/package = 16 pounds of red peppersthe perimeter of a 5-sided figure is 45.56 meters two of the sides have the same length. the sum of the other three side lengths is 24.2 meters how long is each of the same length sides explain
Answer:
The two equal (same length) sides are 10.68 metres each.
Step-by-step explanation:
45.56 - 24.2 = 21.36 m (length of the 2 equal sides)
21.36 ÷ 2 = 10.68 metres
Answer:
10.68 m
Step-by-step explanation:
We are given that a perimeter of 5-sided figure =45.56 m
Two side of same length
Sum of three sides of given figure=24.2 m
We have to find the length of each side of the same length and explain.
Let x be the length of each side of same length
We know that
Perimeter of 5- sided figure=Sum of length of five sides
Therefore,
x+x+24.2=45.56
[tex]2x+24.20=45.56[/tex]
[tex]2x=45.56-24.2[/tex]
[tex]x=\frac{21.36}{2}=10.68[/tex]
Hence, length of each side of same length=10.68 m
If the sum of two numbers is 19 and their difference is 3. What are the two numbers?
Answer:
11 & 8
Step-by-step explanation:
11+8=19
11-8=3
Answer:
The answer is 8 and 11
Step-by-step explanation:
8 + 11 = 19
11 - 8 = 3
Bhavik bought 33 liters of milk and 55 loaves of bread for a total of \$11$11. A month later, he bought 44 liters of milk and 44 loaves of bread at the same prices, for a total of \$10$10. How much does a liter of milk cost, and how much does a loaf of bread cost?
Answer: The cost of 1 liter milk is $ 0.75 and the cost of a loaf of bread is $1.75
Step-by-step explanation:
Let the cost of one liter of milk is m dollar and the cost of one loaf of bread is b dollar.
Since, the total cost of the 3 liter milk and 5 loaf of bread = $ 11
That is, 3 m + 5 b = 11 ----------(1)
And, the cost of the 4 liter of milk and 4 loaf of bread = $ 10
That is, 4 m + 4 b = 10 -----------(2)
4 × Equation (1),
12 m + 20 b = 44 -----------(3)
3 × Equation (2),
12 m + 12 b = 30 --------------(4)
Equation (3) - Equation (4),
We get, 8 b = 14
⇒ b = 14/8 = 1.75
By putting the value of b in equation (1)
We get,
3 m = 11 - 1.75×5 ⇒ m = 2.25/3 = 0.75
Thus, the price of one liter of milk = $ 0.75
And, the price of one loaf = $ 1.75
Answer:
The cost of 1 liter milk is $ 0.75 and the cost of a loaf of bread is $1.75
Step-by-step explanation:
If you took a true “if then” statement and instead a not in each clause the new statement would also be true
Answer:
True
Step-by-step explanation:
If it snows today, I will have to go out and clean the driveway.If it does not snow today, I will not have to out and clean the driveway.Without going into p's and q's and true false tables, I believe the negation is also true.Answer:
Step-by-step explanation:
If a then b is true then not b = not a is true. This is called the contrapositive.
HELP ME THIS IS DUE SOON AND I HAVE NO IDEA HOW TO DO IT!!!!!!
14. room temperature ranges from 20 degrees C to 25 degrees C. find the range of room temperature in fahrenheit. use the formula F - 32 = 1.8 C to convert from the Celsius scale to fahrenheit scale.
10. 5d - 3.3 = 7.2
3. - 3t + 6 = 0
9. 3/4f + 5 = -5
12. 1.3z + 1.5 = 5.4
Answer:
Answer:
Room temp is 68°F to 77°F
Explanation:
Plug in 20 and 25 for C
20:
#F-32=1.8*20#
#=>F=36+32=68#
25:
#F-32=1.8*25#
#=>F=45+32=77#
write the percent. if necessary, round to the nearest tenth of a percent 6 4/5
(A)68%
(B)6.8%
(C) 6.4%
(D)680%
Answer:
im positive its b please give brainliest
Step-by-step explanation:
Answer:
I think the answer is 680%
Two parallel lines are crossed by a transversal . What is the value of k?
Answer:
k = 60
Step-by-step explanation:
2k + 11 is a same side corresponding angle, hence
2k + 11 = 131 ( vertically opposite angles )
subtract 11 from both sides
2k = 120 ( divide both sides by 2 )
k = 60
Answer:
Option C. k = 60
Step-by-step explanation:
There are two lines Z and Y and crossed by a transverse x.
We have to find the value of k.
Since opposite angle of ( 2k + 11 ) is corresponding angle of 131°
so opposite angle of ( 2k + 11 ) will be = (2k + 11)
and corresponding angles are equal in measure.
So 2k + 11 = 131
2k = 131 - 11
2k = 120
k = 60
Option C k = 60 is the answer.
Mr. Potts, the college Pastry Chef, baked three apple pies, two blueberry pies, five cherry pies, and six key lime pies for the student fundraiser. What percent of the pies were apple, round to one decimal place?
Answer: 18.8%
Step-by-step explanation:
[tex]\dfrac{\text{quantity of APPLE pies}}{\text{quantity ot TOTAL pies}}[/tex]
[tex]=\dfrac{3}{3+2+5+6}[/tex]
[tex]=\dfrac{3}{16}[/tex]
= 0.1875
= 18.75%
≈ 18.8% rounded to one decimal place
Help!!!! (Must be done in 30 mins)
Answer:
w=-4
Step-by-step explanation:
w-20=6w
-20=5w
-4=w
What is the next number in the arithmetic sequence below
Answer:
D
Step-by-step explanation:
The common difference d, between the terms is
d = - 9 - 3 = 3 - 15 = 15 - 27 = - 12
To find the next term in the sequence subtract 12 from the previous term
⇒ - 9 - 12 = - 21 ← is the next term in the sequence
The next term of the sequence after -9 is -21
What is an Arithmetic Sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant term. This constant term is called Common difference.If the first term of a sequence is a and the common difference is d then the nth term can be written as a + (n-1)dHow to find what is the next number in the arithmetic sequence ?The given sequence is 27, 15, 3, -9 and so on.Common difference can be found by subtracting a term from its previous term.∴ Common difference of the given problem = (15 - 27) = -12
∴ Each term of the sequence gets decreased by 12
∴ The term after -9 will be ( -9 - 12) = -21
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I really need help please!! Show work please!! :)
Answer:
First Answer C
Second andswer B
Step-by-step explanation:
Left Panel
Givens
In a previous question we have found 2 things.
1. That we are working with a right angle triangle2. That two of the sides are both 9. We did not require the third side. Now we do.If two of the sides are 9 then in this case only we can use the Pythagorean theorem to find the third side. That is because the the base and height meet at right angles.
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
81 + 81 = c^2
c^2 = 162
sqrt(c^2) =sqrt(162)
c = 12.71
Perimeter
The perimeter = 9 + 9 + 12.71 = 30.7
Answer C
The diagram for the rectangle is shown below. We need to find the length and width.Width = abs(-3) + abs(2)Width = 3 + 2Width = 5Length = 8 - 2 Length = 6Area = Width * LengthArea = 6 * 5Area = 30Answer B
PLZ HELP ASAP (10 points)
Answer:
<DAB= 98
Step-by-step explanation:
Remark
I think you are supposed to assume that this is a parallelogram. In that case the two labeled angles are intended to be equal (one of the properties of a parallelogram).
Equation
2x + 36 = 3x - 5 Add 5 to both sides
2x + 36 + 5 = 3x - 5 + 5 Combine
2x + 41 = 3x Subtract 2x from both sides
2x - 2x + 41 = 3x - 2x Combine
41 = x
Answer
<DAB = 2x + 36
<DAB = 2*41 + 36
<DAB = 82 + 36
<DAB = 98
Use slope formula to find the missing coordinate.
(r, 1) and (5, -7) Slope = 8/3
Answer:
r=8
Step-by-step explanation:
The formula for slope is
m = (y2-y1)/ (x2-x1)
Substitute in what we know.
8/3 = (-7-1)/(5-r)
Simplify
8/3 = -8/(5-r)
We can use cross products to help us solve.
8 * (5-r) = 3 * (-8)
divide each side by 8
8/8 * (5-r) = 3 * (-8)/8
5-r = -3
Subtract 5 from each side
5-r-5 = -3-5
-r = -8
Multiply by -1
r = 8
PLEASE HELP! Screenshot attached
Answer:
( x - 6 ) ( x - 3 ) (x + 4)
Step-by-step explanation:
If f(x)=x+7 and g(x)=1/x-13, What is the domain of (f•g)(x)
Answer:
F(x) = x+7
g(x) = 1/(x-13)
fog(x) = [1/(x-13)] + 7
The denominator of the fraction cannot be equal to zero.
So, the domain of fog(x) is x∈R~{13}
Step-by-step explanation:
To find the domain of (f•g)(x), substitute g(x) into f(x) and identify any values of x that make the expression undefined.
Explanation:The function (f•g)(x) represents the composition of two functions, f(x) and g(x). To find the domain of (f•g)(x), we need to determine the values of x for which the composition is defined.
The composition (f•g)(x) can be written as f(g(x)). Substituting g(x)=1/x-13 into f(x)=x+7, we have f(g(x))=(1/x-13)+7.
The domain of (f•g)(x) consists of all the values of x for which the expression (1/x-13)+7 is defined. Since division by zero is not defined, we need to exclude x=0 from the domain. Additionally, we need to exclude the value x=13 because the expression (1/x-13)+7 would lead to division by zero. Therefore, the domain of (f•g)(x) is x≠0, 13.
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You and your mom enter a drawing with 3 different prizes. A total of 9 people entered the drawing, and prizes are awarded randomly. There are 504 ways to reward the prizes. What is the probability that you win first prize and tour mom wins second prize?
Answer:
[tex]\frac{1}{72}[/tex]
Step-by-step explanation:
We have been given that there are total 9 people who entered the drawing competition. There are 3 prizes to be distributed to the winners. The total number of ways that 3 prizes can be awarded to the 9 people can be determined as 9*8*7 = 504.
The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*7 = 7.
Therefore, the probability that I win the first prize and my mom wins the second prize would be: [tex]\frac{7}{504}=\frac{1}{72}[/tex]
Answer:
it’s 7
Step-by-step explanation:
Evaluate the given expression if m=45 |-35|
Answer:
m = 1575
Step-by-step explanation:
so first you have to simplify the equation: m = 45 (35) because the absolute value of -35 is 35. after that you multiply 45 by 35 and end up with 1575. I am assuming that the 45 is supposed to be multiplied by the absolute value.
A department store sells a pair of shoes with an 80% markup. If she store bought the pair of shoes for 55.25$, what is the selling price to the nearest dollar?
Jeramy took 6 hours to read 222 pages of his book. What is Jeramy’s reading speed
Answer:
37 pages/hour
Step-by-step explanation:
This is a unit rate problem.
You are trying to find the number of pages per hour.
Divide the number of pages by the number of hours.
222 pages in 6 hours
(222 pages) / (6 hours) = 37 pages/hour
Answer:
37 pages/hour
Step-by-step explanation:
To find the reading speed, we take the pages read and divide by the time it took.
222 pages/ 6 hours
37 pages/hour
is y=5/3x+3,20x+12y=12 a parallel, perpendicular.or a neither pair equation
Answer:
Neither
Step-by-step explanation:
y = 5/3 x + 3, this line has slope = 5/3
20x + 12y = 12
12y = -20x + 12
y = -20/12 x + 1
y = - 5/3 x + 1, this line has slope = - 5/3
Parralel ; same slopes
Perpendicular; slopes are opposite and reciprocal
So answer is neither pair parallel nor perpendicular
The pair of equations y = 5/3x + 3 and 20x + 12y = 12 are parallel because they both have the same slope of 5/3 once the second equation is put into slope-intercept form.
To determine if the pair of equations y = 5/3x + 3 and 20x + 12y = 12 are parallel, perpendicular, or neither, we must first put both equations into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. The equation y = 5/3x + 3 is already in slope-intercept form with a slope of 5/3. To convert the second equation into slope-intercept form, we can rewrite it as 12y = -20x + 12, and then y = (-20/12)x + 1, which simplifies to y = -5/3x + 1.
Now, comparing the slopes of these two lines, we see that both slopes are equal, meaning the lines are parallel to each other since they have the same slope but different y-intercepts.