The equation of a line that has a slope of -2 and y-intercept of -15 is y = -2x - 15.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this mathematical expression:
y = mx + c
Where:
x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.From the information provided above, we have the following slope and y-intercept on the line:
Y-intercept = -15
Slope, m = -2
Therefore, the required equation of line is given by:
y = mx + c
y = -2x + (-15)
y = -2x - 15
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3.3 3.3 pounds of apples at the total cost of $18.15 $ 18.15 . if she purchases 7.9 7.9 pounds of apples at this store, how much would it cost?
The unit cost of apples is found to be $5.5 per pound. So the cost of 7.9 pounds of apple will be 43.45.
Here we have to calculate the value of a pound of apple from the given data, and then should multiply the unit value to find the cost of the given weight.
Weight of apple that was purchased = 3.3 lbs.
Cost of 3.3 lbs. of apples = 18.15
Cost of a pound of apple = Cost of apples purchased/ weight of apples purchased
= 18.15/3.3 = 5.5.
So each pound of apple will cost $5.50.
Weight of apple to be purchased = 7.9 lbs.
Cost of the apples = Weight of apples × unit price
= 7.9 × 5.50 = 43.45.
So the cost of 7.9 pounds of apple will be $43.45.
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Need help asap.
The GDP of a country goes down as people spend more money and businesses make more products.
True or false
Answer:
I'm gonna say false
GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.
Hope this helps!
HURRY I NEED BY 6:15 The recipe calls for 1/4 cup of rice for every 1 cup of veggies. Now, use the double number line to find the number of cups of rice the restaurant would need for 20 cups of veggies. Solve on paper, then enter your answer on Zearn.
The number of cups of rice the restaurant would need for 20 cups of veggies is 5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
The recipe calls for 1/4 cup of rice for every 1 cup of veggies.
Now,
1cup veggie = 1/4 cup rice
20cup veggies= 1/4 * 20 cup rice
=5
Therefore, by algebra the count of cups of rice will be 5.
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a book sold copies in its first month of release. suppose this represents of the number of copies sold to date. how many copies have been sold to date?
An expected 479,512 duplicates of the book have been offered to date. The principal month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date.
On the off chance that the quantity of duplicates sold in the main month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date, then, at that point, we can utilize this data to appraise the all out number of duplicates offered to date. To do as such, we partition the quantity of duplicates sold in the primary month by the rate portrayal:
38,900 ÷ 0.081 = 479,512
A book has sold 38,900 duplicates in its most memorable month of delivery. This is viewed as 8.1% of the absolute number of duplicates offered to date. To decide the absolute number of duplicates offered, we can utilize this data to appraise the quantity of duplicates offered to date. To do this, we take the quantity of duplicates sold in the main month and gap it by the rate portrayal of the primary month deals comparable to add up to deals. Partitioning 38,900 by 0.081 provides us with an expected absolute of 479,512 duplicates offered to date. This assessment expects that the pace of deals in the principal month is illustrative of the general deals pattern. In any case, minus any additional data about deals in ensuing months, this assessment ought to be taken with alert.
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when surveyed, which profession was chosen by the general public as highest in integrity and ethics?
When surveyed, the Nursing profession was chosen by the general public as the highest in integrity and ethics.
In order to help people recover from sickness and preserve their best health and quality of life, nurses focus on caring for patients and their families.
Because of their diverse areas of practice and methods of providing healthcare, nurses set themselves apart from other healthcare professionals. They are essential in promoting health, avoiding illness, and providing care for everyone, including those who are physically or psychologically ill or impaired.
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State the domain for the relation. {(2, 6), (-4, 8), (1, -3), (-2, -1)}
a. {-3, -1, 6, 8}
b. {-4, -2, 1, 2}
c. {1, -3, -2, -1}
d. {2, 6, -4, 8}
The estimated fuel economy of a car is 27 miles per gallon (mpg), but your friend who has this car says she gets only about 24 mpg. Explain how both of these statements can be correct.
Both the estimated amount of fuel used by the car and the actual quantity of fuel used by the car are correct due to the following reasons explained below.
What is an estimated value?An estimated value is defined as an approximate value which is close enough to the correct value.
An actual value is defined as the value that is being obtained from an observed data and is taken to be the correct value of the data.
The estimated value economy of the car = 27 miles per gallon (mpg).
The actual value = 24 mpg
Therefore, Both the estimated amount of fuel used by the car and the actual quantity of fuel used by the car are correct because the actual value is within the estimated value.
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The current student population of Baltimore is 2000. If the population increases at a rate of 16.7% each
year.
What will the student population be in 5 years?
Write an exponential growth model for the future population P(x) where x is in years:
P(x) =
What will the population be in 5 years? (Round to nearest student)
The population of students in Baltimore will be 4329 in 5 years.
What is an exponential growth?Exponential growth is a function that shows an increase within a population that occurs at the same rate over time.
Given that, the current student population of Baltimore is 2000, the population increases at a rate of 16.7% each year.
We need to find the student population in 5 years
To find the same, we will use, exponential growth model for the future population P(x) where x is in years, is given by,
A = P(1+r)ⁿ
Where,
A = final population
P = initial population
r = rate, n =time
A = 2000(1+0.167)⁵
A = 2000(1.167)⁵
A = 4328.967
A ≈ 4329
Hence, the population of students in Baltimore will be 4329 in 5 years.
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Please help grade 8 math
Answer:
2, 3, 5
Step-by-step explanation:
To test whether a graph is a function, we use the line test. If one x has two y then that graph is not a function. In all the graphs 2,3,5 represent a function.
In the diagram below, all the measurements are given correct to the nearest cm. Not drawn to scale 28 cm 15 cm 21 cm 42 cm Calculate the greatest possible area of the shaded region.
The greatest possible area of the shaded region is 462 square centimeter.
What is Area of Rectangle?The area of Rectangle is length times of width.
In the given figure there are two rectangles.
In one rectangle the length is 28 cm and width is 15cm.
The area of small rectangle=28×15
Area of small rectangle 420
Another rectangle with length 42cm and width 21 cm
The area of large rectangle=42×21
Area of large rectangle 882 square centimeter.
The area of shaded region is 882-420
462
Hence, the greatest possible area of the shaded region is 462 square centimeter.
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a particular brand of shirt comes in 25 colors, has a male version and a female version, and comes in 3 sizes for each sex. how many different types of this shirt are made?
There are 150 different types of this shirt made.
There are 25 different colors, two different versions (male and female), and three different sizes for each. To calculate the total number of different types of shirt, we can use the formula: (25 colors) x (2 versions) x (3 sizes) = 150. Therefore, there are 150 different types of this shirt made.
To further illustrate, each color is available in both male and female versions, and each version has three sizes (small, medium, and large). As a result, 25 colors x 2 versions x 3 sizes = 150 different types of shirts. So, if you wanted a yellow shirt in size medium, there would be a total of 150 different types of this shirt to choose from. There are 150 different types of this shirt made.
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Shawn walks 5 miles in a southeast direction from his house. He stops for lunch then walks 6 miles in a northeast direction from his lunch spot. What is the shortest distance Shawn can walk to return home.
Shortest distance to reach home = 7.81 miles
What is Pythagoras theorem?Pythagoras theorem states that "In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".
Given, Shawn walks 5miles in southeast from his house.
After having lunch he walks 6 miles north east.
Angle between both directions is 90°.
By the figure
AB = 5miles
BC = 6 miles
Shortest distance to return home is AC
By Pythagoras theorem
AC² = AB² + BC²
= 5² + 6²
AC² = 25 + 36
AC² = 61
AC = √61
AC = 7.81 miles.
Hence, 7.81 miles is the shortest distance to reach home.
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answer??? please? thanks!
The statement that best explains Savannah's mistake include the following: A. Savannah incorrectly compared hundredths to tenths. She should compare 35 hundredths to 40 hundredths.
What is a place value?In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Generally speaking, 0.35 is the same as 35 hundredths while 0.4 is the same as 40 hundredths or 4 tenths. Therefore, she incorrectly compared hundredths to tenths, instead of hundredths to hundredths.
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Complete Question:
Savannah uses models to compare two decimal numbers. She says 0.35 is greater than 0.4 because 35 > 4.Which of these explains Savannah's mistake?
Savannah incorrectly compared hundredths to tenths. She should compare 35 hundredths to 40 hundredths.
Savannah incorrectly compared tenths. She should compare 3 hundredths to 5 hundredths.
Savannah incorrectly shaded the models. She should shade one more tenth.
Savannah incorrectly counted the number of shaded parts in the models. She should compare 3 shaded parts to 4 shaded parts.
Determine whether the triangles can be proved similar. If they are similar, write a similarity statement and explain how you know they are similar. If they are not similar, explain why.
Answer:
Step-by-step explanation:
a. If two angles of one triangle are congruent to two angles of another triangle, then the triangle are similar.
The ORDER matters in the similarity statement. The same measures must go in the same order.
∧ABC ≈ ∧PQR Angle-Angle Similarity Postulate
b. Set up the ratios, then reduce to see if they all reduce to the same fraction.
3/18 ; 4/24 ; 5/30
1/6 ; 1/6 ; 1/6
1/6 = 1/6 = 1/6
The sides are proportional so the triangles are proportional.
∧ ABC ≈ ∧ DEF Side-Side-Side Similarity Postulate
Determine if the table shows a proportional relationship.
x 18.6 54.3 58.8
y 6.2 18.1 19.6
Yes, it is proportional because all y over x ratios are equivalent to one third.
Yes, it is proportional because all y over x ratios are equivalent to one fourth.
No, it is not proportional because 18.6 over 6.2 does not equal 18.1 over 54.3.
No, it is not proportional because 18.1 over 54.3 does not equal 58.8 over 19.6.
The table shows the proportional relationship because all y over x ratios are equivalent to one third.
What is Proportional?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
x 18.6 54.3 58.8
y 6.2 18.1 19.6
Now, the rate of change
= 6.2/18.6
= 1/3
again the rate of change
= 18.1/ 54.3
= 1/3
As, the rate of change is constant.
So, the table shows because all y over x ratios are equivalent to one third.
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Will Mark Brainlist!
Solve for x on the diagram below
Answer: The value of x from the diagram is 50 degrees.
Vertical angles are angles that meets at a point of intersection. From the given diagram 150 and 50+2x are vertical angles showing that they are equal to each other so:
50 + 2x = 150
2x = 150 - 50
2x = 100
Divide both sides by 2
2x/2 = 100/2
x = 50
Therefore the value of x from the diagram is 50 degrees.
Answer:
x = 50
Step-by-step explanation:
150 = 50 + 2x
100 = 2x
x = 50
When a relation is displayed in each table row represents an ordered pair with the x column representing the input values and the y column representing the output values.
True or False?
True.
In a relation, each row of a table represents an ordered pair where the x-value is in the left column (also called the domain) and the y-value is in the right column (also called the range or codomain). The x-values represent the inputs to the relation, and the y-values represent the corresponding outputs.
Relation Table RepresentationA relation is a set of ordered pairs, where the first element of each pair comes from a set called the domain and the second element comes from a set called the range or codomain. In a table representing a relation, each row represents an ordered pair where the first element (the x-value) is from the domain and the second element (the y-value) is from the range or codomain.
For example, consider the relation R = {(1, 3), (2, 5), (3, 7)}. In a table representing R, the x column represents the first element of each ordered pair (i.e., the domain) and the y column represents the second element of each ordered pair (i.e., the range or codomain).
The first row of the table would be (1, 3), where 1 is the input (x-value) and 3 is the output (y-value) for the relation R. The second row of the table would be (2, 5), where 2 is the input (x-value) and 5 is the output (y-value) for the relation R. And so on for the rest of the rows in the table.
Therefore, each row of a table representing a relation does indeed represent an ordered pair, where the x column represents the input values and the y column represents the output values.
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Harry owes the bank money. To repay his debt, he paid $150 back to the bank each month. After 10 months, his remaining debt was $6900.
1. what was the original amount of harrys debt
2. how many months did it take harry to pay back his entire debt
Answer:
1. 8400 dollars
2. 56 months
Step-by-step explanation:
1. 10x150=1500
2. 1500+6900=8400
3. 8400/150=56
The table shows the revenue produced for the number of units sold.
u (units)/r($)
30/8
32/9
34/10
36/11
How much revenue will be produced for 45 units?
Answer: 12$
Step-by-step explanation: To find the revenue produced for 45 units, we need to find the equation that represents the relationship between the number of units sold (u) and the revenue produced (r). Based on the information given in the table, we can see that the revenue increases as the number of units sold increases. So, we can assume that there is a direct proportion between the number of units sold and the revenue produced. Therefore, we can use the equation: r = ku, where k is the constant of proportionality.
We can use any two of the given pairs (u, r) to find k. For example, using (30, 8), we have:
8 = k * 30
k = 8 / 30 = 4/15
So, the equation representing the relationship between the number of units sold and the revenue produced is: r = 4/15 * u. To find the revenue produced for 45 units, we can plug in u = 45 into the equation:
r = 4/15 * 45 = 12.
Therefore, the revenue produced for 45 units is $12.
sat there are 200 cookies in a bag. 15% for which are wrapped. if 80% of the cookies are oatmeal, what is the smallest number of wrapped oatmeal cookies that could be in the bag
Answer:12
Step-by-step explanation:
Shopping at savers mart, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next day and buys three shirts and five pairs of pants for $115.00. What is the price of each shirt and each pair of pants?
The price of each shirt is $7.5.
The price of each pant is $18.5.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
Cost of shirts = x
Cost of pants = y
Lisa buys her children four shirts and three pairs of pants for $85.50.
She returns the next day and buys three shirts and five pairs of pants for $115.00.
This means,
We can make two equations.
4x + 3y = 85.50
3x + 5y = 115
Now,
4x + 3y = 85.50
4x = 85.50 - 3y
x = (85.50 - 3y)/4
Substituting in 3x + 5y = 115.
3 (85.50 - 3y)/4 + 5y = 115
256.5 - 9y + 20y = 460
11y = 460 - 256.6
11y = 203.4
y = 18.5
And,
x = (85.50 - 3y)/4
x = (85.50 - 55.5)/4
x = 30/4
x = 7.5
Thus,
The cost of the shirt is $7.5.
The cost of the pant is $18.5.
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please please helppp meeee
Answer:[tex]-\frac{2}{3}[/tex]
Step-by-step explanation: Search math w ay on the internet :)
Answer:
2/-3
Step-by-step explanation:
using rise/run we can can see that the slope rises 4 units and the run is -6 simplify to 2/-3
A company sells mugs for a price of $10 each. In one month, the company sells 1,000 mugs. After doing research, the company realizes that for every $2 price increase per mug, it will sell 5 fewer mugs per month. The expression (1,000−5x)(10+2x) represents the situation.
Which two statements are true?
Responses
A. The term 2x represents the number of mugs sold.
The term 2 x, [if gte msEquation 12]>2x
B. The term 2x represents the price of each mug.
The term 2 x, [if gte msEquation 12]>2x
C. The term (1,000−5x) represents the number of mugs sold.
The term open paren 1 comma 000 minus 5 x close paren, [if gte msEquation 12]>(1,000-5x)
D. The term (10+2x) represents the price of each mug.
The term open paren 10 plus 2 x close paren, [if gte msEquation 12]>(10+2x)
E. The term (10+2x) represents the number of mugs sold.
Order these numbers from least to greatest.
79/10, 7 17/20, 7.84, 7.836
Answer:
7.836, 7.84, 7 17/20, 79/10
Step-by-step explanation:
79/10, 7 17/20, 7.84, 7.836
7.9, 7.85, 7.84, 7.836
so 7.836, 7.84, 7.85,7.9
the numbers in this sequence increase by 8 each time ,what would be the closest to 100
The number in the arithmetic sequence close to 100 is 102
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic sequence be represented as A
Now , the equation will be
A = 14 , 22 , 30 , 38 ...
Now , the common difference of the AP is d = 8
The 12th term of the AP is
a₁₂ = 14 + ( 12 - 1 ) d
a₁₂ = 14 + 11 ( 8 )
a₁₂ = 14 + 88
a₁₂ = 102
Hence , the 12th term of the AP is 102
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PLEASE DO IT I WILL GIVE CROWN THING------ ⇒a retail store is 160 ft long and 120 ft wide. the clothing department takes up half of the total area. how many square ft does the clothing department cover
The area in square ft that is covered by the department would be = 9,600 ft²
How to calculate the area covered by the department?The length of the retail store = 160 ft long
The width of the retail store = 120 ft wide
The formula used to calculate the area of a square= length × width
A = 160×120
= 19,200
The area of the retail = 19,200/2 = 9,600 ft²
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how many strawberries should be picked so that the probability of having exactly 2 rotten strawberries among them equals 2/35
The final answer will depend on the specific value of p.
Let's say we need to choose a number of strawberries. Then, using the binomial distribution formula, it is possible to determine the likelihood that there will be exactly 2 rotting strawberries among them:
P(exactly two spoiled strawberries) i= (n choose 2) * p^2 * (1-p)^(n-2)
where p is the probability of each strawberry being rotten.
By setting this to 2/35 and figuring out n, we get at:
2/35 = (n choose 2) * p^2 * (1-p)^(n-2)
2/35 = (n choose 2) * p^2 * (1-p)^(n-2)
(2/35) / p^2 = (n choose 2) * (1-p)^(n-2)
It should be noted that p's value is unknown and would need to be determined by estimation or historical data. The final answer will depend on the specific value of p.
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What is the difference?
−43−(−15)
Enter your answer in the box.
Please help! :)
And hurry!
Answer:
-28 is the correct answer
Answer: -28 is your answer!
Step-by-step explanation: Hope this helped, just make sure you study so you ACE any exam you get! Studying and taking notes is v/ helpful. You got this!
rafi measures the big prize wheel on a game show and calculates that it has a circumference of 56.52 feet. what is the prize wheel's radius?
The radius of the prize wheel is approximately 9.06 feet.
The circle's circumference (or perimeter) = 2πR, where R is the radius of the circle. 3.14 is the approximate value of π(up to two decimal points) value of the mathematical constant.
Again, Pi (π) is a particular mathematical constant that represents the circumference to diameter ratio of any circle.
The formula for the circumference of a circle is:
C = 2 * π * r
Where "C" is the circumference, "π" is pi (approximately equal to 3.14159), and "r" is the radius.
We can rearrange this formula to solve for the radius:
r = C / (2 * π)
Plugging in the given values:
r = 56.52 / (2 * 3.14159)
r = 56.52 / 6.28318
r = 9.05849 (approximately)
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Which equations are equivalent to Negative one-fourth (x) + three-fourths = 12 Select all that apply. (StartFraction negative 4 x over 1 EndFraction + three-fourths = 12 Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12 StartFraction negative x + 3 over 4 EndFraction = 12 One-fourth (x + 3) = 12 (StartFraction negative x over 4 EndFraction + three-fourths = 12
The equations are equivalent to -x/4 + 3/4 = 12 are -1(x/4) + 3/4 = 12, (-x + 3) /4 = 12 and (-x/4) +3/4 = 12
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is an equation, -x/4+3/4 = 12, we need to find that which of the given equations are equivalent to this equation,
The equivalent equations are;
2) -1(x/4) + 3/4 = 12
-x/4 + 3/4 = 12
3) (-x + 3) /4 = 12
-x/4 + 3/4 = 12
5) (-x/4) +3/4 = 12
-x/4 + 3/4 = 12
Hence, the equations are equivalent to -x/4 + 3/4 = 12 are -1(x/4) + 3/4 = 12, (-x + 3) /4 = 12 and (-x/4) +3/4 = 12
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