Answer:
See below
Step-by-step explanation:
The equations are in form y = mx + b where m = slope
if the lines are parallel then the slopes are equal :
3/K = H/2 Done.
PLEASE HELP ANSWER JUST ONE OF THEM AT LEAST!
Polly buys a drink at a convenience store for $1. 80. She also buys a bag of chips.
(a) The ratio of the cost of the chips to the cost of the water is 4:3. Find the cost of the chips.
$
(b) Polly has $6 to spend. Work out the total amount she spends on a drink and chips as a fraction of the $6. Give your answer in its lowest terms.
(c) The $6 is 37. 5% less than the amount Polly had to spend last week. Calculate the amount she had last week.
$
Answer:
(a) $2.40
(b) Chips: 4/7
Drink: 3/7
(c) $9.60
Step-by-step explanation:
Polly buys a drink at a convenience store for $1. 80. She also buys a bag of chips.
(a) The ratio of the cost of the chips to the cost of the water is 4:3. Find the cost of the chips.
chips : water = 4 : 3
chips/water = 4/3
c/1.8 = 4/3
3c = 1.8 × 4
c = 0.6 × 4
c = 2.4
$2.40
(b) Polly has $6 to spend. Work out the total amount she spends on a drink and chips as a fraction of the $6. Give your answer in its lowest terms.
4 + 3 = 7
Chips: 4/7
Drink: 3/7
(c) The $6 is 37. 5% less than the amount Polly had to spend last week. Calculate the amount she had last week.
Last week it was 100%.
This week it is 37.5% less.
100% - 37.5% = 62.5%
This week, it is 62.5% of last week.
Let x = last week's amount.
62.5% of (last week's amount) = $6
62.5% × x = 6
0.625x = 6
Divide both sides by 0.625
x = 6/0.625
x = 9.6
$9.60
Find the perimeter of the parallelogram. (please answer asap! ty!)
Perimeter of the parallelogram is 20 units.
According to question,
3 + x = 2a - 4
x = 2a - 4 - 3
x = 2a - 7
Diagonals in a parallelogram bisects each other.
Therefore, 2a - 7 = 3
2a = 3 + 7
2a = 10
a = 10/2
a = 5
a - 1 = 4b - 6
5 - 1 = 4b - 6
4 = 4b - 6
4b = 4 + 6
4b = 10
b = 10/4
b = 5/2
Opposite sides of a parallelogram are equal.
Therefore, c - 2 = 2b
c - 2 = 2(5/2)
c - 2 = 5
c = 5 + 2
c = 7
Sides of parallelogram,
Side 1 = 12 - c
= 12 - 7
= 5
Side 2 = c - 2
= 7 - 2
= 5
Perimeter of parallelogram = 2(length of side 1 + length of side 2)
= 2(5 + 5)
= 2 * 10
= 20
Hence, perimeter is 20 units.
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Mr karki divided a sum of Rs 1,80,000 between his son and daughter in the ratio of 4:5 find the sum obtained by eachof them.
Answer:
Rs 80,0000 and Rs 100,000
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
divide the amount by 9 to find the value of one part.
Rs 1,80,000 ÷ 9 = Rs 20,000 , then
4 parts = 4 × Rs 20,000 = Rs 80,000 ← amount son receives
5 parts = 5 × Rs 20,000 = Rs 100,000 ← amount daughter receives
The sum obtained by the son is Rs. 80,000 and the daughter is Rs. 1,00,000.
Mr. Karki divided Rs. 1,80,000 in a ratio of 4:5 between his son and daughter.
Let the common multiple be x
∴ The son obtained Rs. 4x --------1
And daughter obtained Rs. 5x --------2
As the total sum is Rs. 1,80,000
∴ 4x + 5x = 180000
9x = 180000
x = 180000/9
∴ x = Rs. 20000
Putting the value of x in 1 and 2 we get,
The sum obtained by son = 4x = 4*20000 = Rs. 80000
And the sum obtained by daughter = 5x = 5*20000 = Rs. 100000
Thus, the son obtained Rs. 80,000 while the daughter obtained Rs. 1,00,000 which is in the ratio of 4:5.
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Let a function of 2 variables be defined by f (a,b) =ab - (a-b) what is the value of f (8,9)
By using function, it can be calculated that
The value of f(8, 9) is 73
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here the function is
f(a, b) = ab - (a - b)
f(8, 9) = 8 [tex]\times[/tex] 9 - (8 - 9)
f(8, 9) = 72 + 1
f(8, 9) = 73
So the value of f(8, 9) is 73
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A research association reported that 3,173,000 gas grills were shipped by various manufacturers in the U.S. in 2000.Shipment increased by 7% per year from 2000-2016.Write a function that models the number of gas grills shipped over time.
If shipments increased by 7% (which is the same as 0.07) per year, then the shipment in a year can be found by multiplying the shipments in the previous year by 1.07.
Therefore, if [tex]x[/tex] represents the number of years since 2000 and [tex]f(x)[/tex] represents the number of shipments, then [tex]f(x)=3173000(1.07)^x[/tex].
PLEASE HELP FAST!!!! ILL GIVE BRAINLIEST!!!!
Which statement correctly compares the function shown on this graph with the function y = 4x - 8?
A. The function shown on the graph has a greater rate of change but
a lower y-intercept.
B. The function shown on the graph has a smaller rate of change but
a higher y-intercept.
C. The function shown on the graph has a greater rate of change and
a higher y-intercept.
D. The function shown on the graph has a smaller rate of change and
a lower y-intercept.
(6,10)
(a,8)
(4,b)
(2,2)
What are the values of a and b?
a=
b=
Answer:
Step-by-step explanation:
Put the value of a in equation 2. b² = 6² + a². b² = 36 + (81 / 4 ). b = √(225 / 4). b = 15 / 2. Therefore, the value of a and b will be 9.
A coin is weighted so that the probability of Heads is five times the probability of Tails. This coin is flipped
twice. What is the probability that both Heads and Tails are flipped?
A.5/36
B.8/25
C.5/24
D.None of the above
If a coin is weighted so that the probability of heads is five times the probabily of tails, that means :
+) P(head) + P(tail) = 1
+) P(head) = 5P(tail)
Therefore, P(head) = 5/6 ; P(tail) = 1/6
For both head and tail to be flipped, the events must happen together.
Therefore, we have the probabilty that both head and tail is flipped = 5/6 x 1/6 = 5/36.
A) SAS
B) ASA
C) AAS
D) SSS
E) there is not enough information to guarantee congruent triangles
Match each type of transformations with an example and a description of how it affects the graph of a function.
1. Translation; y= f(x) + 2
2. Reflection; y= -f(x)
3. Stretch; y= 2f(x)
4. Shrink; y= 1/2 f(x)
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
What is Reflection?A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.
Given:
When f(x) shifts 2 units up, we have
y= f(x) + 2; Translation
When the graph of f(x) to a symmetric position on the opposite side of the x-axis
y= -f(x); Reflection
When it stretches f(x) by a factor of 2
y= 2f(x); Stretch
When it reduces f(x) by a factor of 1/2
y= 1/2f(x); Shrink
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Find the value of r so that the line passing through (-3, r) and (7,-6)
has a slope of 2 2/5
r =
The value of r is -10 for line with slope 2/5 .
What is slope?
A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.
Main Body:
We know that the slope of line in two point form is
(y₂-y₁)/(x₂-x₁) = m where m = slope
given points are (-3,r) and (7,-6) m= 2/5
(-6-r)/(7+3)= 2/5
(-6-r)/10 =2/5
therefore value of r= -10
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I NEED HELP PLEASE DUE TODAY
Look at the picture for the problem
Please answer both parts
part a and b
a. The equation that represents the given data is y = 700x + 2,000.
b. The average daily attendance at Disneyland on its 80th anniversary is 58,000.
We are given the data about average daily attendance at Disneyland's anniversary celebrations. At Disneyland's 40th anniversary, the average daily attendance was 30,000 people. On the 60th anniversary, the average daily attendance was 44,000 people. We need to create an equation that would represent y, the average daily attendance, based on x, the number of years after Disneyland opened.
We can write the data in the form of points on the coordinate axes. The coordinates of the points are (40, 30,000) and (60, 44,000). We can use the two-point form to write an equation.
(y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1)
(y - 30,000) = [(44,000 - 30,000)/(60 - 40)]*(x - 40)
(y - 30,000) = [(14,000)/(20)]*(x - 40)
(y - 30,000) = (700)*(x - 40)
y = 700x - 28,000 + 30,000
y = 700x + 2,000
Now, we need to find out the average daily attendance at Disneyland on its 80th anniversary.
y = 700*80 + 2,000
y = 56,000 + 2,000
y = 58,000
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which expression is equivanlent to -18 - 5
Answer:
-18 + -5
Step-by-step explanation:
Because -18 - 5 is an inverse equation, that means that we are doing one equation that looks like something it usually doesn't. When subtracting a negative and a positive in that order, the result will be the sign of the greater value(-18), so the result will be negative. Subtracting a big number that's a negative by a smaller number that's a positive is the same as adding the same numbers together as if they are both negatives. E.g, -4 - 2 = -4 + -2.
Hope this helps!
Indicate the distance of the segment using the given
information. Round to the nearest tenth.
5. Find AX. A(-4, 5), X (1, −2)
The distance of segment AX sis found to be 8.6 units using the distance formula.
What exactly is the distance formula?[tex]\sqrt{[x_{2}-x_{1}]^{2} + [y_{2}-y_{1}]^{2} }[/tex] is the distance formula. This works for any two points in two-dimensional space with coordinates (x₁, y₁) for the first and (x₂, y₂) for the second. You may easily remember it if you remember that it is Pythagoras' theorem, that the distance is the hypothenuse, and that the coordinate lengths are the difference between the x and y components of the points.Why do we employ the distance formula?In complex numbers, the distance formula is used to express the plane and its magnitude. Furthermore, distance formulae can be used to calculate the distance between two planes in three-dimensional or n-dimensional planes. It is also used to calculate the magnitude formula.Given: A(-4, 5), X (1, −2)
We need to find the distance of the segment AX.
Distance of AX is given as :
[tex]\sqrt{[1-(-4)]^{2} + [-2-5]^{2} } \\= \sqrt{25 + 49}\\ = \sqrt{74}\\ =8.6[/tex]
Therefore, the distance of segment AX sis found to be 8.6 units using the distance formula.
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euclid, pythagoras, ptolemy, and hypatia are playing a game where they all have to think of a number, and then cube that number 20 times. hypatia doesn't want to cube large numbers, so she chooses the number $1$. euclid thinks the same thing and also chooses the number $1$. however, pythagoras and ptolemy don't think ahead and pythagoras chooses $2$ and ptolemy chooses $-2$. after they finish cubing their numbers (pythagoras and ptolemy take a while), all four players write their final numbers on a piece of paper. what is the sum of the numbers they wrote on the piece of paper?
The sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954
What is Pythagoras's theorem?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle or in standard algebraic notation, a² + b² = c², is equal to the squares on the legs.
What is the sum of numbers?
The outcome or conclusion we arrive at when we add two or more integers is known as the sum. Addends are the numbers that are added.
Here, we calculate the sum of the given numbers
= (1³)^²⁰ + (1³)²⁰ + (2³)²⁰ + (-2³)²⁰
= 2,305,843,009,213,693,954
Hence, the sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954.
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Find side x to one decimal place
Answer:
10.8 cm
Step-by-step explanation:
To solve this answer, we should use sine law.
[tex]\frac{SinA}{a}[/tex]=[tex]\frac{SinB}{b}[/tex]
[tex]\frac{Sin40}{7}[/tex]=[tex]\frac{Sin81}{x}[/tex] (cross multiply)
xSin40 = 7Sin81
xSin = [tex]\frac{7Sin81}{40}[/tex]
x= [tex]\frac{7Sin81}{Sin40}[/tex]
x= 10.8 cm
In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut? A) 36° B) 54° C) 126° D) 136°
The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.
An expression that depicts the relationship between two or more numbers and variables is called an equation.
If we consider x to be the angle opposite the Pizza Palace, then x = 54°
Also:
The snake hut plus x equals 180
54 plus The Snake Hut = 180
126° is the snake hut.
The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.
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how many ways can a president, a vice-president and a secretary be chosen from 17 members of a club assuming that one person cannot hold more than one position?
The three posts can be given in 4080 ways among 17 students.
It is given that the number of people available to choose the posts from is 17.
There are three posts here- president, vice president, and secretary.
Now, if we choose a candidate for President first, there are 17 students available.
Next, if we select a Vice-President, there are 16 ways to select the vice-president, since one student already is the president.
At, last there are 15 students available to choose the secretary from as two students already hold a post.
Hence, the number of ways to select the President, Vice-President, and Secretary are-
17 X 16 X 15 ways
Therefore we get
4080 ways.
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Which expression is equal to 6(r2 – 3) + 2(r2 + 1)?
8r squared - 20
6r squared -2
8r squared -16
6r squared +2r-16
pls, help 20 points!
Answer:8r squared -16
Step-by-step explanation:
5 The table shows the weights of different packages.
What is the approximate total mass of packages A, B,
and D? (Hint: 1 lb ≈ 0.45 kg)
Package | Weight (lb)
A | 0.25
B | 0.8
C | 1
D | 1.75
answers:
F 1.26 g
G 2.8 g
H 280 g
J 1260 g
Answer:
1710 grams (not on the answer list)
Step-by-step explanation:
The total weight of the 4 packages is 3.8 pounds (lbs). The conversion factor is (0.45 kg/lb).
(3.8 lbs)*((0.45 kg/lb) = 1.71 kg or 1710 grams. Pease check the numbers provided.
Hi I don't understand this can you please help me. Maura multiply 1. 8 by 2. 4 and write the product as 0. 432. Tom says that her product is incorrect. How could Tom know this without multiplying a two numbers
The correct multiplication of 1.8 and 2.4 will be 4.32.The product 0.432 calculated by Maura was incorrect.
Define the term multiplication of number?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. The symbols for multiplication are cross (×), asterisk (*), and dot (.). You seem to utilize the cross a lot when you write in your notebooks.For the given question-
Maura divide 1. 8 by 2. 4 and enter 0. 432 as the result.
Tom claims her product is unreliable.
Tom is able to make this deduction without the need for multiplication because the value 0.432 is less than even 1.8, which is not conceivable.
Thus,when multiplying by a number bigger than 1, the result will always be greater than the starting numbers.
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Line K is represented by the equation y = -3/2x + 1. Line L is perpendicular to line K and passes through the point (6,2). Determine the equation is line L.
Answer:
y = (2/3)y - 2
Step-by-step explanation:
Linear equations of the form y=mx+b, describe the slope, m, and the y-intercept, b (the value of y when x=0).
Line K
y = -(3/2)x + 1 tells us that it has a slope of -(3/2) and crosses the y axis (x=0) at y = 1.
Perpendicular Lines
Perpendicular lines have a useful property in that they have a slope that is the "negative inverse" of the line they are perpendicular to. If, for example, we were ever asked what is the slope of a line perpendicular to Line L (yes, it happens), we could, with minimal effort, respond "It is the negative inverse of -(3/2)," which is a slope of (2/3).
Line L
We just accidently answered a key question when we found the negative inverse of the slope for Line K, (2/3). That will be the slope of Line L that will make it perpendicular to Line K.
Line L will have the form y = (2/3)x + b
This line will be perpendicular to Line K, no matter the value of b. But we want a perpendicular line that goes through point (6,2), so we need to find a value of b that will force it to go through that point.
The role b has in our equation is simply moving it up or down. If b were 0, the line will go through the origin (0,0). If b were 5, it would interect the y axis at 5 (0,5). We could draw a graph and get a pretty good idea what b would have to be for the line to go throgh (6,2), but most prefer the easier route: Use the (x,y) value in the above equation and solve for b. Its easy, and works great:
y = (2/3)x + b for (6,2)
2 = (2/3)(6) + b
b = 2 - (2/3)*(6)
b = 2 - 4
b = -2
The equation for Line L is thus: y = (2/3)y - 2
See the attached graph. Included are equations [marked Demo Line 1 and 2] with 2 random values of b (1 and 0), in order to:
demonstrate how b impacts the line, andsuggest try using DESMOS as a free online graphing tool.
6r+r-4 helpppppp like I need it
The value of the variable r in 6r+ r- 4 will be 4/7.
Given,
To solve the polynomial,
6r + r- 4,
and find the value of the variable r,
we have to convert the polynomial in to a quadratic equation by equating it with 0, or, in other words, making the polynomial equal to zero.
So, the quadratic equation will be,
6r + r- 4 = 0
=> (6r+ r) -4 =0
=> 7r -4 = 0
=> 7r = 4
=> r = 4/7.
Thus, the value of the variable r in the polynomial 6r + r -4 will be 4/7.
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Which of the following equations can be solved for x in one step by multiplying both sides of the equation by 2?
Answer:
x/2 = any number
Step-by-step explanation:
PLSSS I NEED HELP
Which of the following is the graph ofY= -3/5x+2
Answer:
It would be the last graph (c). It would look like the image below.
Explanation:
Since 3 is negative the answer would have a graph with a line going like this \.
You and your friends go camping and put up a tent on camp grounds. the tent is shaped like an isosceles triangle. the sides of the tent are 5 feet each and the opening of the tent is 6 feet wide. how tall is the tent
Compute and expressed the result as a mixed fraction?
1) 2+ 3/4
Answer:
2 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
2 + [tex]\frac{3}{4}[/tex]
= 2 [tex]\frac{3}{4}[/tex] ← as a mixed number
Which expression shows the distance you would drive from the library to the grocery store along this road?
The expression that shows the distance you would drive from the library to the grocery store along this road is; |-5|+|7|
How to solve Absolute Value Inequalities?
An absolute value inequality is defined as an expression that has absolute functions as well as inequality signs. For example, the expression |x + 5| > 1 is an absolute value inequality that contains a greater than symbol.
Now, from the inequality line graph attached, we see that the point of the library is at -5 on the line graph.
Similarly, we also see that the point of the grocery store which i will liken to the maths class is at the point 7.
Thus, the distance between both points when we take absolute values into consideration is; |-5|+|7|
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Given g(x)=-3x-3 solve for x when g(x)=0
Mr. C is buying some Hot Cheetos for our school hangout. He can buy an 18 ounce bag for $4.50 or he can buy a 40 ounce bag of the same Cheetos for $8.80. Which bag of Hot Cheetos offers the lowest price ounce?
Answer:
Step-by-step explanation: You want to figure out how much it costs per ounce. You’ll divide $4.50/18 ounces to get $0.25 per ounce for the 18 ounce bag and $8.80/40 ounces to get $0.22 per ounce for the 40 ounce bag. The 40 ounce bag is cheaper per ounce.