Answer:
15
Step-by-step explanation:
Y= -5x+1
Y=3x-2
Is (3,8) a solution of the system
Final answer:
The point (3,8) does not satisfy either of the two equations y = -5x + 1 and y = 3x - 2, therefore it is not a solution to the system of equations.
Explanation:
To determine whether the point (3,8) is a solution to the system of equations given by y = -5x + 1 and y = 3x - 2, we need to substitute the x and y values of the point into both equations to see if the equations are satisfied.
For the first equation:
y = -5x + 1
8 = -5(3) + 1
8 = -15 + 1
8 ≠ -14
The point (3,8) does not satisfy the first equation because 8 does not equal -14.
For the second equation:
y = 3x - 2
8 = 3(3) - 2
8 = 9 - 2
8 = 7
The point (3,8) does not satisfy the second equation because 8 does not equal 7.
Since the point (3, 8) fails to satisfy both equations, it is not a solution to the system of equations.
Final answer:
The point (3,8) is not a solution to the system of equations y = -5x + 1 and y = 3x - 2, as it does not satisfy either equation when substituting the values of x and y.
Explanation:
The student is asking whether the point (3,8) is a solution to the system of linear equations:
y = -5x + 1
y = 3x - 2
To determine if (3,8) is a solution, we can substitute x with 3 and y with 8 into both equations and see if they hold true.
Substituting into the first equation:
8 = -5(3) + 1
8 = -15 + 1
8 ≠ -14
This does not hold true, so (3,8) is not a solution to the first equation.
Substituting into the second equation:
8 = 3(3) - 2
8 = 9 - 2
8 = 7
This also does not hold true, so (3,8) is not a solution to the second equation either.
Since (3,8) does not satisfy either of the given equations, it is not a solution to the system of equations.
you go to order ice cream sundae and there are lots of options! Each sundae includes one flavor of ice cream and one topping .There is strawberry, vanilla, and chocolate ice cream. You also get the choice of a topping. There are sprinkles, hot fudge, whipped cream or cookie crumbs. If you were to chose a sundae at random, find each probability.
1) P(Chocolate, sprinkles)
2) P( Vanilla, hot fudge)
3) P( Strawberry, cookie crumbs)
Answer:
2.) P(Chocolate, sprinkles)
Step-by-step explanation:
A lot of people choose chocolate ice cream over other flavors, and a lot of people also like sprinkles on their ice cream.
The area of a triangular sail is given by the expression 1 2 bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 8 inches and h = 5 inches? The area of a triangular sail in a sail model is in2.
Answer:
The area of the triangular sail is 20 square inches.
Step-by-step explanation:
We are given the following in the question:
Dimensions of triangular sail:
Base, b = 8 inches
Height, h = 5 inches
Area of triangular sail =
= Area of triangle
[tex]=\dfrac{1}{2}\times b\times h[/tex]
Putting values, we get,
[tex]A = \dfrac{1}{2}\times 8\times 5\\\\A = 20\text{ square inches}[/tex]
Thus, the area of the triangular sail is 20 square inches.
According to Jax's pedometer, he walked 2.783\,\text{km}2.783km2, point, 783, start text, k, m, end text while taking care of the livestock in the morning and 3.124\,\text{km}3.124km3, point, 124, start text, k, m, end text taking care of the livestock in the evening.
Answer:
5.907 kilometers.
Step-by-step explanation:
Please consider the complete question.
According to Jax's pedometer, he walked 2.783 km while taking care of the livestock in the morning and 3.124 km taking care of the livestock in the evening. How far did Jax walk while taking care of the livestock today?
To find the total distance covered by Jax, while taking care of the livestock, we will add distances covered by Jax in the morning and evening.
[tex]\text{Total distance covered by Jax}=2.783+3.124[/tex]
[tex]\text{Total distance covered by Jax}=5.907[/tex]
Therefore, Jax walked for 5.907 kilometers, while taking care of the livestock.
A beverage company wants to determine if people in the United States like their new logo. Which choice BEST represents the population? Every person in the United States. All the people who like their beverages. All the employees of the beverage company. All the people who have tried their beverages.
Answer:
All the people who have tried their beverages will be the representing population.
Step-by-step explanation:
If people in the United States like the new logo of a beverage company that the company wants to determine.
Now, we have to choose from the given options that represent the population.
From my point of view, option fourth option gives the correct answer.
Therefore, all the people who have tried their beverages will be the representing population.
Answer:
Every person in the united states
There are cars, trucks, and motorcycles in our company parking lot. The ratio of cars to trucks to motorcycles is $4:3:2.$ If there are $42$ cars and trucks total, how many motorcycles are there?
Answer:
12
Step-by-step explanation:
The ratio of cars to trucks to motorcycles is $4:3:2.
If there are $42$ cars and trucks total,
To get how many motorcycles are there
Sum up the ratio of cars and trucks 4:3= 4+3 = 7
Sum up the ratio of cars and trucks and motorcycles
4+3+2 =9
Let the total number of cars and trucks and motorcycles be represented as A
The total number of cars and trucks in the question is 42
(7/9) x A = 42
7A/9 = 42
cross multiply
7A = 42×9 = 378
A= 378/7 = 54
The total number of cars and trucks and motorcycles is 54
To get the number of motorcycles can be calculated through
a. The total number of cars and trucks and motorcycles subtracted by the number of cars and trucks = 54-42=12 or use the ratio which is
2/9 × 54 = 2×6=12
The ministry of health was interested in the relationship between office habits of workers and health issues. Each year, they distributed a survey to all workers in the public sector that contained various questions on work habits as well as a standard health questionnaire.
The study investigates the connection between office habits and health outcomes. Key considerations include factors such as stress, job status, personal hygiene, and historical trends in workforce health. The goal is to improve policies to promote healthier workplaces.
Explanation:The ministry of health study you're referring to is looking into how habits within the office workplace can impact employees' health. Various factors such as stress levels, personal hygiene habits, the status of the job, and societal impacts can influence the health outcomes of individuals in workplaces.
Stress is a critical factor, as studies have suggested those in high stress or low status jobs, such as the mentioned British civil servants, are more prone to health issues like heart disease. This emphasizes the necessity of stress management in the workplace.
Another element of consideration is personal hygiene, which relates to individuals' private habits in maintaining their physical appearance, not strictly health-related. Various habits could reflect differently on personal health outcomes.
Historical context also plays a role in understanding workforce health trends, such as the transformation during and after World War II. Anthropologists worked intensively on public and private health initiatives, focusing on improving health outcomes both in warfare and post-war times, which influenced the health perspectives in today's workplaces.
This is a multidimensional investigation that potentially will reveal valuable insights that could inform policies on how to better protect workers' health and productivity. Overall, a healthy workforce translates to a more robust and vibrant society.
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.
Solve for x:
2% of x = 17
a 34
b 8.5
c 85
d 850
Answer:850
Step-by-step explanation:
To find this 2% of x= 17
2/100×x=17
2x/100=17
2x=1700
x=850
What is the GCF of 84 and 56
Answer:
The GCF is 28
Step-by-step explanation:
Step 1: Find the factors of both numbers
84 → 1, 2 , 3 , 4 , 6 , 7 , 12 , 14 , 21 , 28 , 42 , 84
56 → 1 , 2 , 4 , 7 , 8 , 14 , 28 , 56
The factor that is the biggest common in both is the GCF. We see that 28 is the biggest factor that matches for both numbers.
Answer: The GCF is 28
Find the Median
{ 0, 3, 4, 8, 10, 15, 20 }
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
arrange from the smallest to the largest or largest to the smallest and then carry out binary division
Wayne has a total of 100 Major League Baseball cards from both the American League and the National League. The number of American League cards is 10 more than twice the number of National League cards. Which system of equations can be used to find how many American Leagues cards, A, and National League cards, N, Wayne has?
Answer:
A = 70 and N=30
Step-by-step explanation:
Total - 100 cards
American League = A
National League = N
A = 2N + 10 and A+N = 100
100-10 = 90
90/3 = 30
A = 2(30) + 10 = 70
A = 70 and N=30
7. Sean is deciding whether to select a satellite receiver or cable for his television programming. The satellite receiver costs $298.90 and the monthly charge is $68.70. With cable, there is no initial cost to purchase equipment, but the monthly charge for comparable channels is $74.80. After how many months will the total cost of the two systems be equal
Answer:
After 49 months the total cost of the two systems will be equal.
Step-by-step explanation:
To Find: We need to find the number of months will the total cost of the two systems be equal
Solution:
For Satellite receiver:
Satellite receiver cost = $298.90
Monthly charge = $68.70
Let the Number of months be denoted by 'x'.
Now we can say that;
Total cost using Satellite receiver is equal to sum of Satellite receiver cost and Monthly charge multiplied by number of months.
framing in equation form we get;
Total cost using Satellite receiver = [tex]298.90+68.70x[/tex]
For Using Cable:
Monthly charge = $74.80
So we can say that;
Total cost using cable is equal to Monthly charge multiplied by number of months.
framing in equation form we get;
Total cost using cable = [tex]74.80x[/tex]
Now to find the number of months when both the cost will be the same so we will make both the equation equal we get;
[tex]298.90+68.70x=74.80x[/tex]
Combining the like terms we get;
[tex]74.80x-68.70x=298.90\\\\6.1x=298.90[/tex]
Dividing both side by 6.1 we get;
[tex]\frac{6.1x}{6.1}=\frac{298.90}{6.1}\\\\x=49[/tex]
Hence After 49 months the total cost of the two systems will be equal.
What are the exact solutions of x2 = 5x + 2? (1 point)
50 point ill give brainliest
Group of answer choices
x = x equals 5 plus or minus the square root of thirty-three all over 2
x = x equals negative 5 plus or minus the square root of thirty-three all over 2
x = x equals 5 plus or minus the square root of seventeen all over 2
x = x equals negative 5 plus or minus the square root of seventeen all over 2
Answer:
A. x equals 5 plus or minus the square root of thirty-three all over 2
Step-by-step explanation:
Let's move all the terms to one side:
[tex]x^2=5x+2[/tex]
[tex]x^2-5x-2=0[/tex]
Now, we want to use the quadratic formula, which states that for a quadratic equation of the form [tex]ax^2+bx+c=0[/tex], the roots can be found with the equation: [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].
Here, a = 1, b = -5, and c = -2, so plug these in:
[tex]x=\frac{-(-5)+\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5+\sqrt{25+8} }{2}=\frac{5+\sqrt{33} }{2}[/tex]
OR
[tex]x=\frac{-(-5)-\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5-\sqrt{25+8} }{2}=\frac{5-\sqrt{33} }{2}[/tex]
Thus, the answer is A.
Hope this helps!
Answer:
First one:
x = x equals 5 plus or minus the square root of thirty-three all over 2
Step-by-step explanation:
x² = 5x + 2
x² - 5x - 2 = 0
Using quadratic formula:
x = [-(-5) +/- sqrt[(-5)² - 4(1)(-2)]/2(1)
x = [5 +/- sqrt(33)]/2
Yolanda purchased a meal at her favorite restaurant for $5.50. She tipped her waiter 20% of the purchase. Including the tip, what was the total amount of money that she spent at the restaurant? *
Answer: Yolanda spent $6.60 at her favourite restaurant, including the tip.
Step-by-step explanation:
We know that 20% of 5.50 is: 1.10
So, 5.50 + 1.10 = 6.60.
Yolanda spent $6.60 at her favourite restaurant, including the tip.
Simplify to create an equivalent expression 8-4(-x+5)
Answer: 4x _ 12
Cheese
Circle O is shown. Line segments A O and B O are radii. Tangents A C and B C intersect at point C outside of the circle to form a kite. A line is drawn from point O to point C. The length of O B is 7. The length of O C is 25. What is the perimeter of kite ACBO?
Answer:
62
Step-by-step explanation:
Answer:
62 units
Step-by-step explanation:
this is the answer on edg 2020
It took 4 balloons to make the duck float. The duck
weighs 56 grams.
With 1 balloon, how many grams could you make float?
Submit
Answer: 14 grams
Step-by-step explanation:
It took 4 balloons to make a duck that weighs 56 grams to float. With one balloon, the number of grams that will float will be 56 grams divided by 4. This will be:
= 56 grams ÷ 4
= 14 grams
Weight carry by 1 balloon is 14 gram
Given that;Weight of duck = 56 grams
Number of balloon need to float duck = 4
Find:Weight carry by 1 balloon
Computation:Weight carry by 1 balloon = Weight of duck / Number of balloon need to float duck
Weight carry by 1 balloon = 56 / 4
Weight carry by 1 balloon = 14 gram
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1.--2.4.-8. What is the sequence?
Answer:
Geometric sequence.
Step-by-step explanation:
This is a Geometric Sequence with common ratio -2:
-2 = 1* -2
4 = -2*-2
-8 = 2 * -2.
the nth term = (-2)^(n-1).
Henry buys 6 circus tickets for himself and five friends for a total of $174. Each friend pays Henry back for his or her ticket. If one of Henry's friends gives him two $20 bills, how much change should Henry return?
Answer:
$11
Step-by-step explanation:
According to the statement, you have that 6 tickets for the price of each ticket is equal to $174 and from that, you can determine the price of each ticket:
6*P=174
P= price of each ticket
P= 174/6= 29
Now, as it says that one of Henry's friends gives him two $20 bills, that means that he gives him $40 and you have to subtract the price of the ticket from that:
40-29= 11
The answer is that if one of Henry's friends gives him two $20 bills, Henry has to return $11.
Final answer:
The cost of one ticket is $29, and if a friend pays with two $20 bills, totaling $40, Henry should return $11 in change.
Explanation:
Henry buys 6 circus tickets for a total of $174. To determine the cost of each ticket, you divide the total cost by the number of tickets:
$174 ÷ 6 tickets = $29 per ticket.
When one of Henry's friends pays him back with two $20 bills, the friend gives Henry $40 in total. To find out how much change Henry should return, you subtract the cost of one ticket from the amount the friend gave:
$40 - $29 = $11.
Therefore, Henry should give his friend $11 in change.
Find the perimeter and the area of the shape
5cm
6cm
7cm
8cm
Perimeter = [perimeter] cm
Area = (area] cm
The perimeter of the trapezoid is 26cm. Using the formula, the area is approximately 47.92cm², rounded to two decimal places.
To find the perimeter and area of the given shape, we first need to determine what type of shape it is. From the given measurements (5cm, 6cm, 7cm, and 8cm), it seems like a quadrilateral, specifically a trapezoid, as the lengths are not all equal.
To calculate the perimeter of the trapezoid, we simply add the lengths of all four sides:
Perimeter = 5cm + 6cm + 7cm + 8cm = 26cm
Now, to find the area of the trapezoid, we can use the formula:
Area = (1/2) × (sum of parallel sides) × (height)
First, let's determine the height of the trapezoid. Since it's not given directly, we can use the formula for the height of a trapezoid:
[tex]\[h = \sqrt{a^2 - (\frac{1}{2}(b_1 - b_2))^2}\][/tex]
Where:
- (a) and (b_1, b_2) are the lengths of the trapezoid's legs and bases, respectively.
Let's plug in the values:
[tex]\[h = \sqrt{6^2 - (\frac{1}{2}(8 - 5))^2}\][/tex]
[tex]\[h = \sqrt{36 - (\frac{1}{2}(3))^2}\][/tex]
[tex]\[h = \sqrt{36 - \frac{9}{4}}\][/tex]
[tex]\[h = \sqrt{\frac{135}{4}}\][/tex]
[tex]\[h = \frac{\sqrt{135}}{2}\][/tex]
Now, we can calculate the area using the formula:
[tex]\[Area = \frac{1}{2} \times (5 + 8) \times \frac{\sqrt{135}}{2}\][/tex]
[tex]\[Area = \frac{13}{2} \times \frac{\sqrt{135}}{2}\][/tex]
[tex]\[Area = \frac{13\sqrt{135}}{4}\][/tex]
So, the perimeter of the trapezoid is 26cm and the area is[tex]\(\frac{13\sqrt{135}}{4} cm^2\).[/tex]
Question 4: Please help. What are the coordinates of the point that partitions BA⎯⎯⎯⎯⎯⎯⎯ according to the part-to-part ratio 2:4?
Enter your answer as an ordered pair, formatted like this: (42, 53)
Answer:
(9,-4)? I'm not sure.
Vijay owns a house worth $250,000 with a mortgage of $150,000. He has $3,000 in stock investments and $1,700 in a checking account. He owns a piano worth $1,800. He also owns a car worth $18,000 and owes $6,000 in car loans. Vijay wants to create a net worth statement. What are Vijay’s total assets, liabilities, and net worth? :v
Answer:
Total assets $274,500
Total liabilities $156,000
Net worth $118,500
Step-by-step explanation:
Vijay's assets consist of a house, stock investment , balance in checking account , a piano as well as car owned
Total assets=$250,000+$3,000+$1,700+$1,800+$18,000=$ 274,500.00
Vijay's liabilities are obligations owed to others, which include mortgage loan and car loan
total liabilities=$150,000+$6,000=$156,000
net worth=total assets-total liabilities=$274,500-$156,000=$118,500.00
Use technology or a z-score table to answer the question.
The nightly cost of hotels in a certain city is normally distributed with a mean of $180.45 and a standard deviation of $24.02.
Approximately what percent of hotels in the city have a nightly cost of more than $200?
Answer: The percentage of hotels in the city have a nightly cost of more than $200 is 21%
Step-by-step explanation:
Since the nightly cost of hotels in a certain city is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the nightly cost of hotels.
µ = mean cost
σ = standard deviation
From the information given,
µ = $180.45
σ = $24.02
The probability that a hotel in the city has a nightly cost of more than $200 is expressed as
P(x > 200) = 1 - P(x ≤ 200)
For x = 200,
z = (200 - 180.45)/24.02 = 0.81
Looking at the normal distribution table, the probability corresponding to the z score is 0.79
Therefore,
P(x > 200) = 1 - 0.79 = 0.21
The percentage of hotels in the city have a nightly cost of more than $200 is
0.21 × 100 = 21%
Please help
6x^2/7y*21yz/12xy
Answer: 3 /2 x^3y^3z
Answer:
Simplified, it equals (3x^3*y^3*z)/2
Step-by-step explanation:
What is 1+1 but multiplied by 2?
Answer:4
Step-by-step explanation:1+1 is 2 and 2x2 is 4
what is the measure of arc AED
Answer: 194 degrees
Step-by-step explanation:
A garden table and a bench cost $840 combined. The garden table costs $60 less than the bench. What is the cost of the bench?
Answer:
450 $
Step-by-step explanation:
1). Bench = x
Garden Table = x - 60
2). x + x - 60 = 840
2x = 900
x = 450 $ - the cost of the bench.
Hope this Helps)))
The cost of the bench is $450 if the garden table and a bench cost $840 combined. The garden table costs $60 less than the bench.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A garden table and a bench cost $840 combined.
The garden table costs $60 less than the bench.
Let the cost of the bench is x
Cost of the Garden Table = x - 60
x + x - 60 = 840
2x = 900
x = 450 $ - the cost of the bench.
Thus, the cost of the bench is $450 if the garden table and a bench cost $840 combined. The garden table costs $60 less than the bench.
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6) A part of a whole expressed in hundredths is a _______?
Answer:
A part of a whole expressed in hundredths is a percent.
Please help guys :((
Answer:
A) [tex]log_{5}(12)[/tex]
B) [tex]log_{8}(9)[/tex]
C) [tex]log_{9}(25)[/tex]
Step-by-step explanation:
Hello! I am going to walk you through how some simple rules regarding logs!
For A, we will use the 'AM' rule! When adding logs of the same base (in this case 5), you multiply the two answers (3 and 4)!
3 · 4 = 12, giving us [tex]log_{5}(12)[/tex]!
For B, we will use the 'SD' rule! When subtracting logs of the same base (in this case 8), you divide the two answers (9 and 5)!
9/5 = [tex]\frac{x}{5}[/tex] ; simplify! (9/5) x 5 = 9, giving us [tex]log_{8}(9)[/tex]!
For C, we will use the 'MS' rule! When multiplying a number times a logarithm, you can get the same argument by removing the coefficient (2) and squaring the log's answer (5)!
[tex]5^{2} = 25[/tex], giving us [tex]log_{9}(25)[/tex]!
I hope that this helps!
A lumber mill needs one more tree cut down that is at least 41 feet long. The person cutting down the tree is 5 feet 3 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 36 inches. What is the length (to the nearest tenth of a foot) of the tree's shadow that will allow the tree to be cut down?
Answer:
23.4 feet
Step-by-step explanation:
Please refer to the attached image for explanations
Using similar triangles and a proportion, the length of the tree's shadow that will allow it to be cut down needs to be 448 inches, or 37.3 feet to the nearest tenth of a foot.
To find the length of the tree's shadow that would allow for the tree to be tall enough (41 feet or more) to be cut down, we need to use similar triangles. The person cutting the tree is 5 feet 3 inches tall, which is 63 inches, and their shadow is 36 inches long. Using this information, we can set up a proportion since the tree and the person form similar triangles with their respective shadows. The proportion is 63 inches / 36 inches = 492 inches (41 feet) / length of tree's shadow. To find the tree's shadow length, we cross multiply and solve for the tree's shadow length as follows:
63 * length of tree's shadow = 36 * 492
Length of tree's shadow = (36 * 492) / 63
Length of tree's shadow = 28224 / 63
Length of tree's shadow = 448 inches
Therefore, the length of the tree's shadow needs to be 448 inches, or to the nearest tenth of a foot, 37.3 feet.