[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-\frac{8}{9}}) ~\hspace{10em} \stackrel{slope}{m}\implies 4 \\\\\\ \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-\stackrel{y_1}{\left(-\cfrac{8}{9} \right)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+\cfrac{8}{9}=4x\implies y = 4x-\cfrac{8}{9}[/tex]
Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y)]
Since you know:
m = 4
[tex]b=-\frac{8}{9}[/tex] Plug it into the equation
y = mx + b
[tex]y=4x-\frac{8}{9}[/tex]
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1. The Scout camp bought 517 new
camping chairs for campers to use. Each
chair cost $ 22.) Which of the amounts
below would be reasonable estimates of
the total cost of the chairs?
A. $1,000
B. $10,000
C. $7,000
D. $12,500
E. $1,500
Show your work and I'll make ur answer as brilliant and I'll follow you
Can someone help? pls.. (Find the range for the following set of data: 10.3, 12.8, 12.9, 15.3, 15.9, 11.5, 4.3, 7.9, 9.6, 13.6, 2.8) a. 11.5 c. 12.1 b. 13.1 d. 11
Answer:
B. 13.1
Step-by-step explanation:
To find the range of a set of data, first, order the numbers from least to greatest:
2.8, 4.3, 7.9, 9.6, 10.3, 11.5, 12.8, 12.9, 13.6, 15.3, 15.9
Next, find the least and greatest number:
2.8, 4.3, 7.9, 9.6, 10.3, 11.5, 12.8, 12.9, 13.6, 15.3, 15.9
Subtract the least number from the greatest number:
15.9 - 2.8 = 13.1
B. 13.1 is your answer.
~
Solve for x (round to the nearest degree)
Answer:
Step-by-step explanation:
Sin x = opp/hyp
Sin x = 4/7
Sin x = 0.5714
X =sin-¹(0.5714)
X = 34.8
X = 35°
The required measure of angle x in the triangle is 35°.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
From triangle,
Sin x = perpendicular/hypotenuse
Sin x = 4/7
Sin x = 0.57
X =sin⁻¹(0.57)
X = 34.9
x = 35°
Thus, the required measure of angle x in the triangle is 35°.
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A florist puts together a bouquet of roses. She uses 2 red roses for every 3 white roses. If she uses 12 white roses, how many red roses will she use?
Answer:24 red roses
Step-by-step explanation:
You would multiply 12 by two
Answer:
8 red roses
Step-by-step explanation:
If you multiply 2 and 3 by 4 you will get 12 white roses and 8 red ones.
How do change 10/4 into a mixed number
Answer: 2 and 2/4
Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.
So here, we have 4 divided into 10.
4 divides into 10 one time, 2 times 4 is 8 and 10 - 8 is 2.
So 4 divides into 10 two times with a remainder of 2.
So we have 2 wholes and 2 out of 4 parts or 2 and 2/4.
So the improper fraction 10/4 can be written as the mixed number 2 and 2/4.
To convert the fraction 10/4 into a mixed number, we need to divide the numerator (10) by the denominator (4). When we divide 10 by 4, we get 2 with a remainder of 2.
The whole number part is derived from the division result, which is 2. The remainder becomes the numerator of the fractional part, while the denominator remains the same.
Therefore, 10/4 can be expressed as the mixed number 2 2/4. However, to simplify the mixed number, we can reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
In this case, the GCD of 2 and 4 is 2. So, simplifying the fraction yields 2 1/2 as the final mixed number representation of 10/4.
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What is the value of 3x+4 when x= 2
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]3(2) +4 = ?[/tex]
3 times 2 is 6. Once you add that to 4 you get 10.
Hope this helps!
-Coconut;)
How do you find point-slope form with 2 points?
y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given. First, we need to find the slope m from the given points. Now put the point (2,3) in the point-slope equation along with the slope m to find the equation of the line between the two points.
Answer:
Slope is m = Y2-Y1
X2-X1
Step-by-step explanation:
Use this equation to find the slope of part 1
Then you do y-y1=m(x-x1)
Gasoline costs 1.67 euro per liter in France. What is the price in dollars per gallon?
The price in dollars per gallon is 7.14 dollar per gallon
The dimensional analysis for calculating mathematical question follows a standard conversion process.
The first thing to do is to determine the equivalent amount of the same liter in dollar while in France. Then, equate it the quantity of liters to gallons.
In France:
1.670 euro = 1 literIf 1 euro = 1.13 dollars;Then, the amount of the same liter in dollars will be:
[tex]= \mathbf{\dfrac{1.670 \ euro \times 1.13 \ dollars}{1 euro}}[/tex]
= 1.8871 dollars per Liter
Now, we know that:
1.8871 dollars = 1 literIf 1 liter = 0.2641722 gallonsThen, we can say
1.8871 dollars = 0.2641722 gallons(x) dollar = 1 gallonThen, the amount of the dollars in gallons will be:
[tex]\mathbf{x = \dfrac{1.8871 \times 1 }{0.2641722}}[/tex]
x = 7.14 dollars per gallon
Therefore, we can conclude that the price in dollars per gallon is 7.14 dollar per gallon.
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What is the result of 3 divided by three-fifths?
Answer:
5
Here is the working:
Answer:
5
Step-by-step explanation:
Point R is at (3, 2) and Point S is (-3, -1). Determine the length RS.
Answer: RS = 3[tex]\sqrt{10}[/tex]
Step-by-step explanation:
To calculate the length RS , all we need do is to find the distance between R and S. The formula for finding the distance between two points is given as :
D = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]x_{1}[/tex] = 3
[tex]x_{2}[/tex] = -3
[tex]y_{1}[/tex] = 2
[tex]y_{2}[/tex] = -1
Substituting the values we have :
RS = [tex]\sqrt{(-3-3)^{2}+(-1-2)^{2}}[/tex]
RS = [tex]\sqrt{9^{2}+3^{2} }[/tex]
RS = [tex]\sqrt{81+9}[/tex]
RS = [tex]\sqrt{90}[/tex]
this can also be written as
RS = [tex]\sqrt{9}[/tex] X
RS = 3[tex]\sqrt{10}[/tex]
Eric is a real estate agent. He makes a 5% commission on each house he sells. Last month, Eric sold three houses. The sale price of each house is shown in the table. House saleAmount House 1 $55,000 House 2$105,525 House 3 $35,200 How much did Eric earn last month? Enter your answer in the box .
Answer:
Eric earned last month US$ 9,786.25
Step-by-step explanation:
Commission of Eric on each house sold = 5% = 0.05
House 1 $55,000
55,000 * 0.05 = $ 2,750
House 2 $105,525
105,525 * 0.05 = $ 5,276.25
House 3 $35,200
35,200 * 0.05 = $ 1,760
Eric earned last month = $ 2,750 + $ 5,276.25 + $ 1,760
Eric earned last month US$ 9,786.25
What is the difference of (Negative 3.4 x + 4.7) minus (3 + 2.9 x)?
Negative 0.5 x + 1.7
Negative 6.3 x minus 1.7
Negative 0.5 x minus 1.7
Negative 6.3 x + 1.7
Answer:
negative 6.3 x + 1.7
The difference of (-3.4x + 4.7) And (3 + 2.9 x) is, -6.3 x + 1.7. So Option D is correct
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
Two expressions,
(-3.4x + 4.7)
And (3 + 2.9 x)
The difference = ?
The difference of the two expressions, (-3.4 x + 4.7) and (3 + 2.9 x), is calculated as follows:
= (-3.4 x + 4.7) - (3 + 2.9 x)
= -3.4 x + 4.7 - 3 - 2.9 x
= -3.4 x - 2.9 x + 4.7 - 3
= -6.3 x + 1.7
So, the difference of the two expressions is -6.3 x + 1.7.
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The button below has a
diameter of 4 centimeters.
What is the area of the
button? Please Answer Quickly.
Answer:12.57
Step-by-step explanation:
To find the area of a circle with the radius, square the radius, or multiply it by itself. Then, multiply the squared radius by pi, or 3.14, to get the area. To find the area with the diameter, simply divide the diameter by 2, plug it into the radius formula, and solve as before.
The area of the button is approximately 12.56 square centimeters.
Explanation:To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius. In this case, the diameter of the button is 4 centimeters, so the radius is half of the diameter, which is 2 centimeters. Plugging this value into the formula, we get A = π(2 cm)². To calculate the area, we need to use an approximation of π, which is 3.14. Therefore, the area of the button is approximately 12.56 square centimeters.
Help help help help help
Simplify square root of negative 49.
The value of the square root of negative 49 will be ± 7i.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ √(-49)
We know that √-1 = i, then we have
⇒ √(-1 x 49)
⇒ ± 7i
The value of the expression √(-49) will be ± 7i.
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Final answer:
The square root of negative 49 simplifies to 7i, where i is the imaginary unit.
Explanation:
The simplify question involves finding the square root of negative 49, which is a mathematical operation dealing with complex numbers. To simplify the square root of a negative number, we use the imaginary unit i, where i is defined as the square root of negative one. Therefore, to simplify √-49, we break it down into the product of √-1 and √49. Since √-1 equals i, and √49 equals 7, the simplification results in 7i.
Will make Brainliest if answered correctly
solve and simplify.. 1/2 ÷6 =
Answer:
1/12
Step-by-step explanation:
1/2 ÷ 6
is the same as;
1/2 × 1/6 = 1/12
Consider the following piece-wise function.
How would the portion of the graph labeled "a" be defined?
The line is rising up to the left and it starts at -2,-2
If you were to continue the line to cross the y a is it would cross at (0,-3)
Find the slope
Slope = (-2 - -1) / (—2 - -4) = -1/2
It would be y= -1/2x-3 when x<-2
Answer:
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The ordered pair (a, b) satisfies the inequality y – 6 > 2x. Which statement is true?
Answer:
the answer is: if you multiply a by 2 and then add 6, the result will be less than b.
Step-by-step explanation:
Hope this helps!
Please mark as brainliest.
The same inequality is when you multiply a by 2 and then add 6, the result will be less than b so option (C) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given inequality,
y – 6 > 2x
Put x = a and y = b
b - 6 > 2a
b > 2a + 6
The above inequality represents when you multiply a by 2 and then add 6, the result will be less than b.
Hence "The same inequality is when you multiply a by 2 and then add 6, the result will be less than b".
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FIND THE SLOPE
please explain me how to do it
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (0, 3) ← 2 ordered pairs from the table
m = [tex]\frac{3-7}{0+4}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1
fred and wilma purchase a new home for 150,000. The vaule of the home increases by 4% every 3 years. Determine the value of the home after 20 years
Fred and Wilma's home increases in value by 4% every 3 years. Using the compound interest formula, it's calculated that after approximately 6 full periods in 20 years, the value of the home is approximately $189,740.10.
Explanation:Fred and Wilma's home value increases by 4% every 3 years. To calculate the value of the home after 20 years, we need to first determine how many 3-year periods fit into 20 years, which is approximately 6.67 periods. However, since the home value increases only at the end of each 3 year period, we only consider the full periods, making it 6. We use the formula for compound interest: A = P(1 + r/n)^(nt), where:
A is the amount of money accumulated after n years, including interest. P is the principal amount ($150,000 in this case). r is the annual interest rate (decimal). n is the number of times that interest is compounded per year. t is the time in years.
Substituting the values into the formula, we get: A = $150,000 (1 + 0.04/1)^(1*6). After performing the calculations, the future value of the home after 20 years approximately equates to $189,740.10.
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How to simplify the expression -6 - 7 (-5) +6
PLEASE MARK BRAINLIEST!
Answer:
Let's do it!
Step-by-step explanation:
-6 - 7(-5) + 6
-6 + (-7)(-5) + 6
-6 + 35 + 6
-6 + 41
35
[To think of it another way, 6 and -6 cancel out to become zero, so our answer is 35].
I hope this answered your question!
- sincerelynini
Forty five children attend a preschool. The number of two year olds is one half the number of three year olds. The number of four year olds is the same as the number of three year olds.
Answer:
9 two year olds, 18 three year olds, 18 four year olds
Step-by-step explanation:
Let's say x is the number of 2 year olds. There are double the number of three year olds (2x) . Four year olds is the same as 3 year olds (2x).
x + 2x +2x = 45
5x=45
x= 9
Double is 18 for 3 and four year olds.
The mathematical problem deals with finding the number of children in each age group at a preschool. By setting up an equation with the given ratios and total, we calculate that there are 9 two-year-olds, 18 three-year-olds, and 18 four-year-olds attending the preschool.
The question is a mathematical problem related to ratios and the counting of different age groups in a preschool setting.
To solve this, we first let the number of three-year-olds be represented by a variable, say 'x'. Since the number of two-year-olds is half the number of three-year-olds, we represent them as 'x/2'.
The number of four-year-olds is the same as the number of three-year-olds, which would also be 'x'. The total number of children in the preschool which is given as 45 can be expressed as the sum of two-year-olds, three-year-olds, and four-year-olds, which gives us the equation: x/2 + x + x = 45.
By solving the equation, we can determine the number of children in each age group. Multiplying both sides of the equation by 2 to eliminate the fraction, we get 2*(x/2) + 2*x + 2*x = 2*45, which simplifies to x + 2x + 2x = 90. Combining like terms we get 5x = 90, and by dividing both sides by 5, we find that x = 18.
Therefore, there are 18 three-year-olds, 18 four-year-olds, and half of 18, which is 9, two-year-olds attending the preschool.
5. What is the total length of the race course?
Final answer:
The total length of a race course would be the perimeter if it's a closed loop. Without specific details of the race course, the exact measurement cannot be provided, but several examples hint at how the length can be determined if more information is available.
Explanation:
The student's question pertains to the total length of a race course. To ascertain the total length, one would typically consider the perimeter of the race track if the course returns to the start line or the straight distance from start to finish if not returning. This question does not provide specific details about the dimensions or shape of the race course, which are necessary to give an exact measurement. However, if we refer to the provided information, option (a) says that the perimeter is the distance, and the shortest distance between the start and finish line is the magnitude of displacement. This suggests that the total length could be measured by the perimeter if it's a closed loop.
Some examples include a marathon which has a set length of 42.188 km, or a soccer field where the perimeter would be the sum of all sides, assuming the field was used for a running event. For an actual racecourse, you would need to know the specific dimensions or shape to calculate the total length.
18) . Are these two claims equivalent, in conflict, or not comparable because they’re talking about different things?
a. “We mark up the wholesale price by 33% to come up with the retail price”
b. “The store has a 25% profit margin”
The claims "marking up the wholesale price by 33% for retail" and "having a 25% profit margin" are not equivalent. While both involve pricing strategies, a 33% markup results in a profit margin of approximately 24.81%, demonstrating that markup and profit margin describe different aspects of pricing.
Explanation:The question asks if the claims "We mark up the wholesale price by 33% to come up with the retail price" and "The store has a 25% profit margin" are equivalent, in conflict, or not comparable. To examine this, we need to understand the definition of markup and profit margin. Markup refers to the percentage increase over the cost price to arrive at the selling price, while profit margin is the percentage of revenue that remains as profit after covering all costs.
Considering a hypothetical item with a wholesale price of $100:
A 33% markup means adding $33 to the wholesale price, making the retail price $133.To calculate profit: Retail Price - Wholesale Price = Profit, so $133 - $100 = $33.The profit margin is then calculated as (Profit / Retail Price) * 100, which is ($33 / $133) * 100 = 24.81%.Therefore, these two claims are not equivalent. A 33% markup on the wholesale price results in a profit margin of approximately 24.81%, not 25%. This slight difference indicates that while related, markup and profit margin describe different aspects of pricing strategy. They are not direct conversions of one another but are interrelated in determining the final retail price and the resulting profit from sales.
A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8centimeters.
Answer:
Step-by-step explanation:
What's the question?
Find the probability of rolling factors of 3
Final answer:
The probability of rolling factors of 3 on two six-sided dice is 13 out of 36 possible outcomes, which simplifies to approximately 0.361 or 36.1%.
Explanation:
Calculating the Probability of Rolling Factors of 3
To find the probability of rolling factors of 3 when tossing two dice, we must consider the combinations that result in multiplying to three or being a multiple of three. Each die has six faces, so there are a total of 6 x 6 = 36 possible outcomes when rolling two dice. The factors of 3 are 1 and 3. So we have to count the outcomes where at least one of the dice shows a 3 or both dice show 1, which are the relevant factors of 3. If we roll a 3 on one die, the other die can show any number from 1 to 6, giving us 6 outcomes. If we roll a 3 on the other die, we again have 6 different outcomes. However, this would double-count the scenario where both dice show 3, so we must subtract this outcome once.
Therefore, the number of favorable outcomes is (6 + 6 - 1 = 11). The probability can be computed as the number of favorable outcomes divided by the total number of possible outcomes, giving us a probability of 11/36.
If we want the probability of getting one 1 and one 3 in two tosses, we must add to this the probability of tossing a 3 first and a 1 second. The event of rolling a 1 and then a 3, or 3 and then a 1, each has a probability of 1/36. As there are two ways this can happen (1 then 3, or 3 then 1), the probability for this event is 1/36 + 1/36 = 2/36 or 1/18, which must be added to our initial 11/36.
Hence, the final probability of rolling factors of 3 on two dice is (11/36) + (1/18) = (11/36) + (2/36) = 13/36.
Ava buys a carousel that is 80% off, if Ava pays $36 what was the original price
Answer: $45
Step-by-step explanation:
Let the original rice of the carousel = $x
Therefore cost Price = $36
Discount is 80% of the original price $x = $36
To calculate x , we find 80% of $x and equate to $36
= ⁸⁰/₁₀₀ ˣ $x
= 80x/100
80x/100 = 36
Now, multiply through by 100 and divide by 80
80x = 3600
x = $45.
The original price of the carousel = $45.
A $220 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)
Answer:$198
Step-by-step explanation:
.10 x 220= 22
220-22= 198
To find the sale price of the suit, calculate 10% of the original price, which is $22. Subtract this amount from the original price to get the sale price of $198.
Explanation:To figure out the sale price of the suit, we need to begin by determining the amount of the discount. Because the discount is 10%, we will calculate 10% of $220. The way to calculate this is by multiplying 220 by 0.10 (which is the decimal equivalent of 10%). This comes out to $22. Next, we subtract this discount from the original price of the suit. So, $220 - $22 equals $198. The sale price is therefore $198.
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