Answer:
answer y=-5/3x+5
Step-by-step explanation:
The slope is decreasing so the slope is negative
Rise is 5 run is 3 so its 5/3 but the slope is negative so its -5/3
Y intercept is located at 0,5 so it equals 5
y=-5/3x+5
The equation of line will be;
⇒ y = - 5/3x + 5
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is decreasing.
The rise will be 5.
The run will be 3.
Now,
Since, The equation of line is decreasing.
Hence, The slope of the line is negative.
Here, The rise will be 5.
The run will be 3.
So, The slope = Rise / Run
= 5/3
Thus, The slope = - 5/3
So, The equation of line in point-slope form will be;
⇒ y = mx + b
⇒ y = - 5/3x + 5
Thus, The equation of line will be;
⇒ y = - 5/3x + 5
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The vivandière sold viands and sandwiches. If she sold 300 total and 50 more viands than sandwiches, how many of each did she sell?
She sold 125 sandwiches and 175 viands as per the equation using substitution method as the definition of substitution method says, "The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the other equation in this method, as the name implies".
How to construct equation?A mathematical formula is an equation that uses algebraic operations like add, subtract, multiply, divide, raise to a power, take the natural logarithm, take the cosine, or some combination of operations to express one variable as a combination of other variable(s). One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. The "scale" (or equation) must ALWAYS be balanced when solving math equations so that both sides are ALWAYS equal.
Here,
Let x be the sandwiches she sold and y be the viands she sold.
x+y=300
y=50+x
x+50+x=300
2x+50=300
2x=250
x=125
y=50+125
y=175
In accordance with the equation and applying the substitution method, she sold 125 sandwiches and 175 appetizers "The substitution method is an algebraic strategy for resolving simultaneous linear equations. This method, as the name suggests, involves substituting the value of a variable from one equation into the other equation ".
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HELLPPPPPPPPPPPPPPPPPPP
The compound inequality for the graph shown above is :
[tex]-6\text{ }\leq\text{ x }\leq\text{ 0}[/tex]the drop down menu is the same on both sides
Answer:
∡BCA = 29
∡BOC = 58
Explanation:
The angles BDC and BAC form the same arc on the circle, the arc BC. Then, these angles have the same measure, so
∡BCA = ∡BDC
∡BCA = 29
Then, we can use the inscribed angle theorem to find the arc BC as follows
[tex]\begin{gathered} \measuredangle BDC=\frac{1}{2}BC \\ \\ 29=\frac{1}{2}BC \\ \\ 2(29)=BC \\ \\ 58=BC \end{gathered}[/tex]Therefore, arc BC has a measure of 58 degrees, which means that ∡BOC is equal to
∡BOC = Arc BC
∡BOC = 58
So, the answers are
∡BCA = 29
∡BOC = 58
4. What fraction of 2hrs 15 minutes is 1/4 of an hour?
The fraction of 2 hrs 15 minutes to 1/4 of an hour is 1/9.
What is fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Since,
1 hour = 60 minutes.
2 hours = 120 minutes.
2 hours 15 minutes = 120 + 15 = 135 minutes.
1/4 of an hour = 60/4 = 15 minutes.
So, the fraction is,
[tex]\frac{15}{135} = \frac{1}{9}[/tex]
Therefore, the fraction of 2 hrs 15 minutes to 1/4 of an hour is 1/9.
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How many numbers less than 1000 are perfect squares which are also 3 times an odd integer?
There are 31 perfect square numbers that are less than 1000.
Among them there are 5 numbers which are 3 times an odd integer those are 9,81, 225, 441, 729
Which of the following is true about translations? A They are a useful way to make a figure larger or smaller. B They sometimes require changing the shape of a figure. C They can help you see if two figures are congruent. D They involve spinning a figure around the origin.
True about translations is they can help you see if two figures are congruent
What are translations?
In mathematics, a translation is an up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more directions have been altered. There is no change in the shape because it is simply being moved from one location to another.
Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
Hence, they can help you see if two figures are congruent.
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30°-60°-90° YOU TRY! Solve for x and y: 30° 60° у 1 av3 2 2a 30° X You got this! 60 a YOU TRY: X= y =
The side opposite to 30 degree angle is 1/2. So,
[tex]a=\frac{1}{2}[/tex]The measure of side opposite to angle 60 degree is,
[tex]\begin{gathered} a\sqrt[]{3}=\frac{1}{2}\sqrt[]{3} \\ =\frac{\sqrt[]{3}}{2} \end{gathered}[/tex]The measure of side x is,
[tex]\frac{\sqrt[]{3}}{2}[/tex]The measure of hypotenuse is 2a. So,
[tex]\begin{gathered} y=2a \\ =2\cdot\frac{1}{2} \\ =1 \end{gathered}[/tex]So answers are,
[tex]x=\frac{\sqrt[]{3}}{2}[/tex]and
[tex]y=1[/tex]I keep getting a step wrong because I’m getting a radio that isn’t on here..
Given:-
7th term is 77 and 8th term is 231.
To find:-
The common ratio.
Now to find the common ratio we divide both the numbers. we get,
[tex]\frac{231}{77}=3[/tex]So the common difference is 3.
So the common ratio is 1/3.
Answer:
3
Step-by-step explanation:
Geometric sequence:
[tex]\sf Common \ ratio = \dfrac{(n+1)^{th} \ term}{n^{th}}[/tex]
[tex]\sf = \dfrac{8^{th} \ term}{7^{th} \ term}\\\\\\ =\dfrac{213}{77}\\\\\\=3[/tex]
Yuriy and his brother Anduray are each mailing a birthday gift to a friend. Yurly's package weighs threepounds more than two times the weight of Anduray's package. The combined weight of both packages is 9pounds.Part 1: Write a system of two linear equations to represent this situation. Define each variable that you use.
Let 'x' be the number of pounds of Yurly's package and let 'y' be the number of pounds of Anduray's package. Since the combined weight of both packages is 9 pounds, then:
[tex]x+y=9[/tex]now, we have that Yurly's package weights three pounds more than two times the weight of Anduray's, we can write this as:
[tex]x=3+2y[/tex]thus, we have the following system of equations to represent this situation:
[tex]\begin{cases}x+y=9 \\ x=3+2y\end{cases}[/tex]help meeeeeeeeee pleasee
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\ \\ 16t^2 -126t+213=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
Find the missing side lengths, leave answers in simplify form. plsss help
Answer: I believe it is A.
Step-by-step explanation:let me start by saying that D and B aren't true because u is greater than 3 to the square root of 3, which is roughly 5.2. So were left with A and C. Then we realize that 3 to the square root of 3 is the same as 3 to the square root of 3, so it can't be C, so were left with A. (I could be wrong, I'm not the smartest in math, but I hope this helped and wish you luck)
Answer:
A) u = 6, v = 3====================
Given is 30° × 60° × 90° triangle.
Use its propertya : b : c = 1 : √3 : 2, where a, b, c are sides from the shortest to longest.Apply the ratiosu : 3√3 : v = 1 : √3 : 2Find the missing sidesv = 3√3 / √3 = 3u = 2v = 2*3 = 6The matching choice is A
A point has a positive x- coordinate and a negative y- coordinate which quadrant is it
A. Quadrant ll
B. Quadrant lV
C. Quadrant lll
D. Quadrant 1
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think its B
Arianna and her friend Grace are going to a carnival that has games and rides. Arianna played 6 games and went on 3 rides and spent a total of $27. Grace played 2 games and went on 9 rides and spent a total of $41. Determine the cost of each game and the cost of each ride.
Answer:
Rides cost $4
Games cost $2.50
Step-by-step explanation:
Let g = cost of games
Let r = cost of rides
6g + 3r = 27
2g + 9r = 41 Multiple this through by -3 and then add to the equation above.
-3(2g + 9r) = (41) -3
-6g - 27r = - 123
6g + 3r = 27
-24r = -96 Divide both sides by -24
r = 4 This is the cost of the rides.
Plug is 4 for r in either of the two original equations to solve for g
6g + 3r = 27
6g + 3(4) = 27
6g + 12 = 27 Subtract 12 from both sides
6g = 15 Divide both sides by 6
g = 2.5 This is the cost of the games.
Question #3 The same dish detergent is sold at 4 different grocery stores in different sized bottles. Bottle Size (ounces) 20 Store Hawkin's Grocery Mitchell's Store Selena's Market Teresa's Store Price $5.00 $8.00 $12.00 $20.00 100 Which store has the lowest price per ounce? А Hawkin's Grocery B Mitchell's Store C Selena's Market D Teresa's Store Jestion #4 ex paints a total of 9 dollhouses using 2 cans of naint
To find the price per ounce for each grocery store we have to divide the price by the size of the bottle:
Hawkin's Grocery:
[tex]\frac{5}{20}=0.25[/tex]$0.25 per ounce
MItchell's Store:
[tex]\frac{8}{25}=0.32[/tex]$0.32 per ounce
Selena's Market:
[tex]\frac{12}{40}=0.30[/tex]$0.30 per ounce
Teresa's Store:
[tex]\frac{20}{100}=0.20[/tex]$0.20 per ounce
We can see that Teresa's Store has the lowest price per ounce
what is the probability that this student does spend more than $25 a week on gas? a. 0.2445 b. 0.7555 c. 0.6740 d. 0.8403 e. 0.4532
Using conditional probability, it is found that there is a 0.83 = 83% almost 0.8403 probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.
Probability: -
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).
Conditional Probability :
Using conditional probability, it is found that there is a 0.83 = 83% = P( A∩ B) / P(A)
In which
P(B|A) is the probability of event B happening, given that A happened.P(A∩B) is the probability of both A and B happening.P(A) is the probability of A happening.In this problem:
Event A: Commute to school each day.
Event B: Spends more than $25 a week.
80% indicated that they commute to school each day. of those that commute to school each day, hence , P(A) = 0.8
Of those, 83% spend more than $25 a week on gasoline, hence .
P(B|A) = 0.83
Thus, 0.83 = 83% probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.
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The value of y varies directly with x and inversely with the square of z. What equation models this combined variation?
The equation is modelled as [tex]y\ = \frac{kx}{z^2}[/tex].
Given,
y varies directly with x
y varies inversely with square of z
According to given data the equation can be modelled as follows:
y varies directly with x, it can be written as [tex]y \ \alpha \ x[/tex]
and also y varies inversely with square of z, it can be written as [tex]y\ \alpha \ \frac{1}{z^2}[/tex]
Combining both, then we get,
[tex]y\ \alpha \ \frac{x}{z^2}\\\\y\ = \frac{kx}{z^2}[/tex]
Where, k is proportionality constant.
Thus, the combined equation is modelled as [tex]y\ = \frac{kx}{z^2}[/tex].
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can you help me with some math questions the option I chose was troposphere(above the surface
1.
What do you know?
the troposphere extends 8 to 20 km above the Earth's surface. The surface temperature is 15°C and decreases at a rate of 6.5°C per kilometer away.
What do you want to find out?
The temperature at any point of the troposphere
What kind of answer do you expect?
Any value below 15°C
2. Define variables,
T is for temperature, and
d is the distance away from the surface
3. What is the b -value
b = 15
which is the Earth's surface temperature or the initial temperature for our problem
4. What is the slope
the slope 'm' equals -6.5
which means that the temperature decreases 6.5°C per km
5. write the equation
[tex]\begin{gathered} y=b+mx \\ \Rightarrow T=15-6.5d \end{gathered}[/tex]the general form for this equations is y = b + mx
thus, for our problem, the equation is: T = 15 - 6.5*d
6.
a) the slope represents the rate of change of temperature with respect to distance, since m = -6.5 °C/km , this means the troposphere is getting 6.5 °C colder per km away from Earth's surface
b) the y-intercept represents the Earth's surface temperature
Graph:
7. identify 3 points
when d = 0 then T = 15, so our first point is (0,15)
when d = 1 then T = 15 - 6.5 = 8.5 , so our second point is (1,8.5)
when d = 2 then T = 15 - 13 = 2 so our third point is (2,2)
8. calculate the slope
let's use this equation and this set of points,
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ (x1,y1)=(1,8.5) \\ (x2,y2)=(2,2) \end{gathered}[/tex]let's replace and solve
[tex]m=\frac{2-8.5}{2-1}=\frac{-6.5}{1}=-6.5[/tex]We can see that it does match the slope from our model, which is -6.5
9. graph the line and the points,
10. Complete the sentence
... ends between 8 km and 20 km above Earth.
11. temperature at the farthest point
when d = 20 then,
[tex]\begin{gathered} T=15-6.5*20 \\ =15-130 \\ =-115 \end{gathered}[/tex]... the temperature is -115°C
12. Temperature range,
from... 15 °C to -115 °C
A car is traveling at a steady speed. It travels 1 miles in 2 minutes. 2 4 How far will it travel in 34 minutes? In 1 hour? The car will travel miles in 34 minutes. Simplify your answer.
To answer this question, we need to find the unit rate for the steady speed. Then, we can proceed as follows:
[tex]S=\frac{d}{t}\Rightarrow S=\frac{1\frac{1}{2}}{2\frac{1}{4}}=\frac{1+\frac{1}{2}}{2+\frac{1}{4}}=\frac{\frac{2+1}{2}}{\frac{8+1}{4}}=\frac{\frac{3}{2}}{\frac{9}{4}}=\frac{3}{2}\cdot\frac{4}{9}=\frac{12}{18}=\frac{6}{9}=\frac{2}{3}[/tex]Then, we have that the unit rate, in this case, is 2/3 miles per minute.
Hence, the car will travel in 34 minutes:
[tex]d=S\cdot t=\frac{2}{3}\cdot34\Rightarrow d=\frac{68}{3}=\frac{66}{3}+\frac{2}{3}=22+\frac{2}{3}=22\frac{2}{3}[/tex]Thus, the car will travel 222/3 miles in 34 minutes.
The car will travel in one hour or 60 minutes:
[tex]d=\frac{2}{3}\cdot60=\frac{120}{3}\Rightarrow d=40[/tex]Then, the car will travel 40 miles in one hour or 60 minutes.
QUESTION ONE!Arielle plans to purchase hanging baskets for her front porch. There are three businesses in her area that sell hanging baskets and she plans to purchase the baskets from one of these business.Which answer best describes the sample and population? Sample: all available hanging baskets at the three businesses in town that sell themPopulation: all available hanging baskets at one of the businesses in town that sells themSample: all available hanging baskets at one of the businesses in town that sells themPopulation: all available hanging baskets at the three businesses in town that sell themSample: all available hanging baskets at the three businesses in town that sell themPopulation: all available hanging baskets at businesses in her state that sell themSample: all available hanging baskets at one of the businesses in town that sells themPopulation: all available hanging baskets at businesses in her state that sell themQuestion 2An amusement park's owners are considering extending the weeks of the year that it is opened. The owners would like to survey 100 randomly selected families to see whether an extended season would be of interest to those that may visit the amusement park.What is the best way to randomly choose these 100 families? Have the owners of the amusement park ask the first 100 people they see.Choose a neighborhood near the amusement park and ask 100 families in this neighborhood.Ask the first 100 families that enter the amusement park on a busy weekend day.Allow a random number generator to come up with 100 families within a 50 radius of the amusement park.
Given
Arielle plans to purchase hanging baskets for her front porch. There are three businesses in her area that sell hanging baskets and she plans to purchase the baskets from one of these business.
To find: Which answer best describes the sample and population?
Explanation:
It is given that,
Arielle plans to purchase hanging baskets for her front porch. There are three businesses in her area that sell hanging baskets and she plans to purchase the baskets from one of these business.
That implies,
Sample: all available hanging baskets at one of the businesses in town that sells them.
And,
Population: all available hanging baskets at the three businesses in town that sell them.
Which company shows a greater/higher rate of change?
Water’s EdgeRafts
Ryan’s Rafts
Whoever answers correctly will get Brainliest!!
The rate of change of the company Water's Edge rafts is greater than Ryan’s Rafts.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
From the graph, the two points are taken as (0, 0) and (1, 6). Then the slope of the Water's edge rafts will be given as,
⇒ (6 - 0) / (1 - 0)
⇒ $6 per hour
From the table, the two points are taken as (1, 15) and (5, 24). Then the slope of Ryan's rafts will be given as,
⇒ (24 - 15) / (5 - 1)
⇒ 9 / 4
⇒ $2.25 per hour
The rate of change of the company Water's Edge rafts is greater than Ryan’s Rafts.
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Is this relation a function? Justify your answer.
11
10
9
8
7
6
5
4
3
2 3 4 5 6 7 8 9 10 11
A. Yes, because every x-value corresponds with a single y-value.
OB. No, because two points with the same y-value have different x-
values.
OC. Yes, because the number of x-values is the same as the number of
y values.
OD. Yes, because every x and y-value is positive.
PLEASE HELP ME QUICK, HURRY!!!!
The relation is a function because (a) Yes, because every x-value corresponds with a single y-value.
How to determine if the relation is a function?From the question, we have the graph to represent the given parameters that can be used in our computation
We are to find out if the graph represents a function
For a graph to represent a function, the graph must pass the vertical line test
This means that a line drawn from the x-axis must touch the points at most once
In this case, the graph would pass the vertical line test because no two points have the same y coordinate
Hence, it is a function
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What's the answer?
p + 5 > 10?
The answer to the inequality is P> 5
What is Inequality?
Inequality in mathematics, the relationship between two values that are not equal
To solve the inequality we follow the steps;
P+5 > 10
Subtract 5 from both sides
P + 5-5 > 10-5
P>5
Therefore, the answer to the inequality is P> 5
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Select each equation which is equivalent to 60% of 25. 0.6 • 25 = x x • 1.6 = 25 610=x25 60100=25x x25=60100 6.0 • 25 = x
By using the concept of percentage, the equation which is equivalent to 60% of 25 is [tex]0.6 \times 25 = x[/tex]
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.
For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.
Here,
Using concept of percentage.
Let 60% of 25
[tex]\frac{60}{100}\times 25 = x\\0.6 \times 25 = x[/tex]
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The window and the door are similar rectangles. the door has a width of 4 feet, the wi dow has a width of 30 inches. how many times greater is the area of the door than the area of the window?
Answer:
Step-by-step explanation:
window*
An employment agency specializing in temporary construction held pays heavy equipment operators $135 per day and general laborers $97 per day I thirty people were hired and the payrol was $3518, how many heavy equipment operatorswere employed? How many laborers?The number of heavy equipment Operators hired wasThe number of general laborers hired was
The number of heavy equipment operators employed=16
The number of laborers employed=14
Assume
x=number of heavy equipment operators employed
30-x=number of laborers employed
From the question, we have
135x+97(30-x)=3518
135x+2910-97x=3518
38x=608
x=16
number of heavy equipment operators employed=16
number of laborers employed=14
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Answer:
The number of heavy equipment operators employed=16
The number of laborers employed=14
Assume
x=number of heavy equipment operators employed
30-x=number of laborers employed
From the question, we have
135x+97(30-x)=3518
135x+2910-97x=3518
38x=608
x=16
Step-by-step explanation:
Represent the given condition using a single variable , x
Let base = x
Height = 2x + 3
The height is 2x + 3 and the base is just x.
Quadrilateral XENA is a parallelogram. T is the point of intersection of the diagonals. For each situation, write an equation and solve for y.
Answer:
b
Step-by-step explanation:
just took the test yyyyyyyyyyyyyyyyyyyyyyyyy
f(x) = -5 - x ; h(x) = f(-x) describe transformation
Answer:
Reflection over y-axis.
Step-by-step explanation:
The transformation being described is a reflection across the y-axis since we would have to flip the signs of the x-values to transform the function. See pictures below.
Hope this helps.
convert 4 hp to ft.lb/s
Answer:
D. 2200 ft.lb/s
Explanation:
First, recall the standard conversion between horsepower and foot-pounds per second.
[tex]1hp=550\; \frac{ft\cdot lb}{s}[/tex]Therefore:
[tex]4\; hp=4\times550=2200\; \frac{ft\cdot lb}{s}[/tex]The correct choice is D.
Find the measures of the numbered angles in rhombus ABCD below if ABC = 49°.
The measures of the numbered angles in the rhombus ABCD if m∠ABC = 49° are m∠1 = 24.5°, m∠2 = 90°, m∠3 = 24.5° and m∠4 = 65.5°.
We are given:
A rhombus ABCD and m∠ABC = 49°.
The diagonal of the rhombus divides the angles into 2 equal parts. Therefore,
m∠1 = m∠ABC / 2 = 49 / 2 = 24.5°
The diagonal AC is perpendicular to the diagonal DB.
And we know that diagonals bisect each at right angles.
So, m∠2 = 90°.
Opposite angles of the rhombus are equal.
Therefore,
∠B = ∠D
multiply both sides by 1/2, we will get;
1/2 ∠B = 1/2 ∠D
m∠1 = m∠3 = 24.5°
Sum of angles in a quadrilateral = 360°
360 - 98 = 262°
∠A = ∠C = 262 / 2 = 131
Therefore,
m∠4 = 1 / 2 ∠C
m∠4 = 1 /2 * 131
m∠4 = 65.5°
Thus, the measures of the numbered angles in the rhombus ABCD if m∠ABC = 49° are m∠1 = 24.5°, m∠2 = 90°, m∠3 = 24.5° and m∠4 = 65.5°.
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