Answers
The slope of the line on the graph is found as -1/3.
What is termed as the slope?The slope of a line is a measurement of its steepness and direction.A line's slope is described as the change in y coordinate to respect to the change in x coordinate. The net y coordinate change is Δy, whereas the net x coordinate change is x. As a result, the change in y coordinate in relation to the change in Δx coordinate.For the given question;
Select two point lying on the line.
(x₁, y₁) = (0, 4)
(x₂, y₂) = (6, 2)
The slope of the line given in graph is calculated by formula;
slope = m = (y₂ - y₁)/(x₂ - x₁)
Put the values in the slope.
m = (2 - 4)/(6 - 0)
m = -2/6
m = -1/3
Thus, the slope of the line on the graph is found as -1/3.
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Related Questions
Question 3 (Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Compare √150 and 114/9 using <,>, or =.
Answers
The computation indicates that π plus the square root of 70 to the nearest hundredth will be C. 11.51
How to compute the value?From the information, we are told to π plus the square root of 70 to the nearest hundredth. This will be:
= π + √70
simplifying the above equation, we get
= 3.14 + 8.37
= 11.51
The definition in words where the square root of forty-eight would be plotted on the number line will be between 6 and 7, but closer to 7.
Finally, it should be noted that the square root of one hundred fifty > one hundred fourteen ninths.
The complete question is:
Question 1(Multiple Choice Worth 2 points)(Irrational Numbers MC)
Approximate pi plus the square root of 70 to the nearest hundredth.
8.37
11.14
11.51
12.14
Question 2(Multiple Choice Worth 2 points)
(Irrational Numbers LC)
Describe in words where the square root of forty-eight would be plotted on the number line.
Between 7 and 8, but closer to 7
Between 7 and 8, but closer to 8
Between 6 and 7, but closer to 6
Between 6 and 7, but closer to 7
Question 3(Multiple Choice Worth 2 points)
(Irrational Numbers LC)
Which of the following numbers is irrational?
negative four and 8237 ten thousandths, one-half pi, cube root of four, and four plus the square root of twenty-five
one-half pi and the cube root of four
−4.8237 and four plus the square root of twenty-five
−4.8237 and one-half pi
the cube root of four and four plus the square root of twenty-five
Question 4(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Compare square roots of one hundred fifty and one hundred fourteen ninths using <, >, or =.
the square root of one hundred fifty > one hundred fourteen ninths the square root of one hundred fifty = one hundred fourteen ninths
one hundred fourteen ninths < square root of one hundred fifty
one hundred fourteen ninths > square root of one hundred fifty
Question 5(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Identify the location of the values square root of 11, square root of 8, and twenty-two ninths on the number line.
Number line with points plotted at two and four-tenths labeled Point A, two and eight-tenths labeled Point B, and three and three-tenths labeled Point C.
Point A is the square root of 11, point B is the square root of 8, and point C is twenty-two ninths.
Point A is twenty-two ninths, point B is the square root of 8, and point C is the square root of 11.
Point A is twenty-two-ninths, point B is the square root of 11, and point C is the square root of 8.
Point A is the square root of 11, point B is twenty-two ninths, and point C is the square root of 8.
Question 6(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Approximate negative eight plus the square root of twenty to the nearest tenth.
4.5
3.5
−3.5
−4.5
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Which rule must be used to find the number of positive integers less than 1000 that are divisible by 7?.
Answers
The number of positive integers smaller than 1000 that are divisible by 7 must be determined using the rule of arithmetic progression.
There are 142 positive integers that are divisible by 7 that are less than 1000.
The positive numbers below 1000 that can be divided by seven include
7, 14, 21, 28,..........994.
The final number under 1000 that is divisible by 7 is 994.
An arithmetic progression's common form is [tex]T_{n} = a + (n-1)d[/tex]
where d is the common difference, n is the number of terms, and a is the first term.
We've :
a is 7 and d is 7.
When we generalize these values, we get at:
[tex]T_{n} = a + (n-1)d\\994 = 7 + (n-1)7\\994 -7 = 7n - 7\\994 = 7n \\n =\frac{994}{7} =142[/tex]
There are hence 142 positive integers below 1000 that are divisible by 7.
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Ali , Bilal and Karim rent a house for 3 years at Rs.1800 per annum , Ali remains in the whole time , Bilal stay for 17 months and Karim 14/3 months during the occupancy of Bilal. How much must he each pay for the rent.
Answers
Rent paid by each Ali, Bilal and Karim is Rs.3775, Rs.925 and Rs.700 respectively.
A fraction is a valued that is expressed as a part of a whole. Here, the rent paid by each the members is a fraction of the total rent for the 3 years .
Now, according to the question
Karim stayed for 14/3 months in 3 years that is = 14/3*3
= 14 months (1 year and 2 months)
rent paid by each of them for first year = 1800/3
= Rs.600
As, we know that 1800 is paid for 12 months ( 1 year )
So, rent for 1 month = 1800/12
= Rs.150
rent paid by each of them for month = Rs.150/3
= Rs.50
Karim stayed for 2 more months, so he paid rent for 2 months = Rs.50*2
= Rs.100
So. total rent paid by Karin is = 600+100
= Rs.700
For Bilal, he stayed for 17 months that is 1 year and 5 more months
rent he paid for 1 year = Rs.600
rent he paid for 2 months when Karim was there too = Rs.100
rent he paid with Ali when Karim was not there for 3 months = 150/2*3
= Rs.225
So, total rent paid by Bilal is = 600+100+225
= Rs.925
Total rent for 3 years is = 1800*3
= Rs.5400
contribution of Bilal and Karim in the total rent for 3 year = 700+925
= Rs.1625
So, rent paid by Ali = 5400-1625
= Rs.3775
Therefore, we can conclude that the Rent paid by each Ali, Bilal and Karim is Rs.3775, Rs.925 and Rs.700 respectively.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
The strategy we will use is to first draw the diagonal; drop a right triangle to see the vertical distance of 6 units and the horizontal distance of 9 units; use the Pythagorean theorem to solve for the diagonal distance, approximately 10.8 units.
We need to find a strategy to find the distance from the bumper cars to the roller coaster.We are given a graph.The coordinates of the bumper cars are (-5, 4).The coordinates of the roller coaster are (4, -2).We can start by drawing the diagonal connecting the two points.We then drop a right triangle to see the vertical distance of 6 units and the horizontal distance of 9 units.We can now use the Pythagorean theorem to solve for the distance of the diagonal.Let the distance between the bumper cars and the roller coaster be "d".d² = 6² + 9²d² = 36 + 81d² = 117d = √117d = 10.8 unitsTo learn more about Pythagorean theorem, visit :
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At a basketball game a vendor sold a combined total of 186 sodas and hot dogs. The number of hot dogs sold was 56 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold
Answers
what is a reasonable estimate for 155 / 9?
Answers
The most appropriate choice for decimal number and division will be given by
[tex]\frac{155}{9} =17.22[/tex]
What is decimal number and division?
Decimal numbers are those numbers which consist of an integer part and a fractional part.
Decimal are of two types-
Terminating decimals are those decimals which has finite number of figures after decimal point
Non terminating decimals are those decimals which has infinite number of figures after decimal point.
Division is the process by which value of single unit can be calculated from the value of multiple unit
The number which is divided is the dividend, the number by which dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula in division
Divisor x Quotient + Remainder = Dividend
Here,
Denominator of fraction = 9 = [tex]3^2[/tex]
Which is not of the form [tex]2^m \times 5^n[/tex]
So [tex]\frac{155}{9}[/tex] has non terminating decimal
[tex]\frac{155}{9} =17.22[/tex]
This is the required answer
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A large fitness center offers a track, weight room, and pool. the fitness center charges $29 per month for a basic membership, and there is an additional charge of $6 for each hour of pool use. the fitness center charges by the quarter hour for the pool. what is a viable solution for the number of hours used in the pool and the total monthly cost?(1 point)
Answers
Answer:
6.8 hours of pool use for a total monthly charge of $69.80
Step-by-step explanation:
6.8(6)+29=69.80
is 5xy and -8xy similiar
explain why
Answers
The given algebraic expressions 5xy and -8xy are like terms because of the similarity in their variable and it's power.
As per the question statement, we are given algebraic expressions 5xy and -8xy and we are supposed to tell whether these two terms are like or not.
We know that in Algebra, the phrases or terms that include the same variable and are raised to the same power are referred to as "like terms."
Hence as the variable part in the expressions, 5xy and -8xy, are same hence they can be added and subtracted hence are called like terms.
Algebraic expressions: An expression which is constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)Like terms: The definition of similar words is the terms that have the same variable raised to the same power. Only the numerical coefficients can alter in terms that are similar to algebra. We may combine similar words to make algebraic expressions simpler, making it much simpler to determine the expression's outcome.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
The triangles are congruent if two sides of one triangle match two sides of another triangle, and if the included angles are also congruent. applying labels Triangle ABC is congruent to triangle DEF if in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D.
What is meant by a congruence statement?An assertion that two objects are congruent, or identical in size and shape, is known as a congruence statement in geometry.
Two polygons are congruent according to a congruence assertion. List the matching vertices in the same order as the congruence statement.
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
The triangles are congruent if two sides of one triangle match two sides of another triangle, and if the included angles are also congruent. applying labels Triangle ABC is congruent to triangle DEF if in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D.
Therefore, the correct answer is option d. Δ ABC ≅ Δ DEF.
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what number can be divided into 2 and 9 equal groups without a remainder
Answers
One way to determine the number is to multiply 2 and 9, this is because the resulting number will be divisible by them perfectly. Let's try:
[tex]2\cdot9=18[/tex]So our candidate is 18, we need to test if it's divisible by 2 and 9 perfectly:
[tex]\begin{gathered} \frac{18}{2}=9 \\ \frac{18}{9}=2 \end{gathered}[/tex]It is, therefore the number is 18.
pls help. hhhhhhhhhhhh
Answers
Answer: B
y=3/5 x +4
Step-by-step explanation:
Insert each equasion into the graph with the points from the table and whichever line , lines up with the points is your answer
A salesman earns 20% commission on all the merchandise that he sells. Last month he sold 800$ worth of merchandise. How much commission (in dollars) did he earn last month?
Answers
The commission earned by the salesman last month is $160.
What is termed as the commission?A commission is additional pay earned based on the job performance. When you agree to the a commission-based position or commission framework (mostly by signing the agreement), users agree to be paid a set amount of money based on achieving a specific goal—goods marketed, meetings closed, recruits placed, etc.For the given question,
The commission earned by the salesman is 20% on his sells.
Last month total sell = $800.
Let x be the total commission earned.
Then,
20% of 800 = x
x = 20× 800 / 100
x = 160
Thus, the commission earned by the salesman last month is $160.
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solve n-3 = 4 x 3 - n/ 7
Answers
Solve n-3 = 4 x 3 - n/7 : n = 105/8
What is Algebra?
Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.
To solve the equation :
n-3 = 4 x 3 - n/7
Solve for n
n-3 = 4 x 3 - n/7
n - 3 = 12 - n/7
n = 12 + 3 - n/7
n = 15 - n/7
n = (105 - n)/7
7n = 105 - n
7n + n = 105
8n = 105
n = 105/8
Hence, solution for n-3 = 4 x 3 - n/7 is n = 105/8
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Write this number in standard form 0.000000005009
Answers
Answer: 5.009 x 10^-9
Step-by-step explanation:
State if the three numbers can be the measures of the sides of a triangle.
1) 9, 7, 13
2) 26, 12, 11
3) 11, 2,9
4) 6, 11, 12
Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
5) 12,9
7) 11,6
6) 8, 11
8) 12,8
Answers
1) 9, 7 , 13
Yes because the sum of the two smaller sides is greater than the third side.
2) 26 , 12 , 11
No because the sum of the two smaller sides is not greater than the third side.
3) 11, 2, 9
No because the sum of the two smaller sides is not greater than the third side.
4) 6,11,12
Yes because the sum of the two smaller sides is greater than the third side.
What is triangle inequality ?According to the Triangle Inequality Theorem, the total of any two sides in a triangle must be greater than the third side.
Two arcs in a triangle will only come together at their points of intersection if the sum of their radii is larger than the separation between their centers.
In a triangle, the difference between any two sides will be smaller than the third side if any two sides' sums are more than the third.
1) 9, 7 , 13
Yes because the sum of the two smaller sides is greater than the third side.
2) 26 , 12 , 11
No because the sum of the two smaller sides is not greater than the third side.
3) 11, 2, 9
No because the sum of the two smaller sides is not greater than the third side.
4) 6,11,12
Yes because the sum of the two smaller sides is greater than the third side.
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I WILL GIVE YOU BRAINLIST
Answers
Answer: take another pic but put it closer
Step-by-step explanation:
2.1 liters of coffee were equally distributed to 30 cups. How many milliliters of coffee were in each cup help
Answers
30 cups of coffee, total 2.1 liters, were distributed equally. 70 milliliters of coffee were in each up.
Given that,
30 cups of coffee, total 2.1 liters, were distributed equally.
We have to find how much milliliters of coffee in each cup.
First we have to convert liters into milliliters.
We know 1 liter=1000 milliliters
So, now we convert 2.1 liters to __ milliliters.
=2.1×1000 milliliters
=21×1/10×1000
=21×100
=2100 milliliters.
So, 2100 milliliters of coffee available for distribution.
We know,
30 cups =2100 milliliters
Then
1 cup = ___ milliliters
1cup=2100/30
1cup=210/3
1 cup= 70
Therefore, 70 milliliters of coffee were in each up.
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Solve 4x + 10 = 6x + 2.
Answers
Answer:
x=4
Step-by-step explanation:
4x+10=6x+2
Subtract 6x from both sides.
4x+10−6x=2
Combine 4x and −6x to get −2x.
−2x+10=2
Subtract 10 from both sides.
−2x=2−10
Subtract 10 from 2 to get −8.
−2x=−8
Divide both sides by −2.
x=
−2
−8
Divide −8 by −2 to get 4.
x=4
Answer: x=4
Step-by-step explanation:
1. Group all x terms on the left side of the equation
2. Group all constants on the right side of the equation
3. Isolate the x
If this helped please mark my answer as the brainliest, thank you!
steps below.
Find the area of the parallelogram. 4 cm 1.1 cm
Answers
Answer:4.4cm
Step-by-step explanation:
area = length x width
area = 4cm x 1.1cm
area = 4.4cm
Irma has a round box of creme-filled chocolates. After measuring the box, she calculates that it has an area of 21.2264 square inches. What is the box's circumference?
Answers
Solution
Given the area = 21.2264
The shape in question is a circle.
Recall that the area of a circle is given as;
[tex]\begin{gathered} A=\pi\times r^2=21.2264 \\ \\ \Rightarrow r^2=\frac{21.22264}{\pi} \\ \\ \Rightarrow r=\sqrt[]{\frac{21.2264}{\pi}}=2.6 \end{gathered}[/tex]Now that we know the radius, The circumference of a circle is given as;
[tex]C=2\times\pi\times r=2\times\pi\times2.6=16.33\text{ inches}[/tex]Solve for x.ln(x) - ln(x - 4) = 0
Answers
In(x) - In(x - 4) = 0
[tex]\begin{gathered} In\text{ }\frac{x}{x\text{ - 4}}\text{ = 0} \\ In(1)\text{ = 0} \\ \text{Therefore,} \\ In\text{ (}\frac{x}{x\text{ - 4}})\text{ = In (1)} \\ \frac{x}{x\text{ - 4}}\text{ = 1} \\ \text{Cross multiply} \\ x\text{ = 1(x - 4)} \\ x\text{ = x - 4} \end{gathered}[/tex]From the step-by-step explanation, the equation has zero solution.
At leslie's party 1/4 of the people had long hair. One half of the people at the party were boys, and 1/4 of the girls had short blond hair.None of the boys had long hair.If there were 32 guests, what is the maximum number of girls who could have had short red hair? Show how you determined your answer and why you know you have a correct solution
Answers
The maximum number of girls who could have had short red hair is 4 .
In the question ,
it is given that,
total number of guests = 32
also given "One half of the people at the party were boys" which means
number of boys = 32/2 = 16
So number of girls = total number of guests - number of boys
= 32-16
= 16
the total number of girls = 16
given 1/4 of total guests had long hair , and no boys have long hair ,
which means
number of girls with long hair = 32/4 = 8
So , 8 girls will have long hair .
number of girls with short blonde hair = 16/4 = 4
So, 4 girls have short blonde hair .
let the number of short red hair girls be "x" ,
So, according to the question
total girls = long hair girls + short blonde hair girls + short red hair girls
Substituting the values from above ,we get
16 = 8 + 4 + x
16 = 12 + x
x = 16-12
x = 4
Therefore , the maximum number of girls who could have had short red hair is 4 .
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What is the slope of this line? Responses −34 negative 3 over 4 −3 negative 3 4 4 34 3 over 4 Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
Answers
Answer: The slope would be negative 3/4, so -3/4.
Plant A Plant B Weeks Height (inches) Weeks Height (inches) 0 6 0 4 2 8 2 7 Part. To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable, and which is the dependent? Explain your answer.
Answers
The independent variable, x in this scenario is; weeks.
The dependent variable, y in this scenario is; height.
Which of the two variables is the dependent and which is the independent variable?It follows from the task content that the two variables which describe the growth model of the plants are; weeks and height.
Since, independent variable as the name implies is one whose values do not arrive from evaluation using other values, the independent variable in this scenario is; weeks.
However, by logic, the height of the plant is determined by the number of weeks and hence is dependent on the variable weeks. Therefore, the dependent variable is; height.
Ultimately, the independent and dependent variables are; weeks and height respectively.
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Five hundred twelve thousandths in a decimal
Answers
Answer:
0.512
Step-by-step explanation:
Answer:
0.512
Step-by-step explanation:
[tex]\frac{512}{1000} =0.512[/tex]
Hope this helps
Barry reads 8 pages of a book in 10 minutes. At this rate, what is the total number of pages Barry will read in 2 hours?
A. 48
B. 80
C. 96
D. 160
Answers
Answer:
C
Step-by-step explanation:
8x6= 48 (1 hour) 48x2= 96 (2 hours)
Answer: The correct answer is C. 96
[ 8 x 6 = 48 ( 1 hour ) 48 x 2 =96 ( 2 hours ) ]
b) Work out the 30th term in this sequence.
4,13,22,31
Answers
Answer:
274
Step-by-step explanation:
What is the image of the point (8,4)(8,4) after a rotation of 90^{\circ}90
∘
counterclockwise about the origin?
Answers
The image of the point (8,4) after a rotation of 90° counterclockwise about the origin is (-y,x)=(-4,8).
Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about its origin (-y,x). In other words, reverse x and y and make y negative.
Given the point is (8,4)
After rotating the point to 90° counterclockwise about the origin, we get the point as (-4,8).
Terms like clockwise and anticlockwise are only applicable to rotating motions. A clock's hands move in the same direction as something moving in a clockwise manner. starting at the top and moving to the right, then down, then left, and then back up. The opposing direction of rotation or revolution might be thought of as anticlockwise.
Hence we get the point as (-4,8)
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Which equation is perpendicular to
5x-10y=6 and passes through (2,1)
Answers
Answer: Answer: y=5−2x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=x2−35.
The slope of the perpendicular line is negative inverse: m=−2.
So, the equation of the perpendicular line is y=−2x+a.
To find a, we use the fact that the line should pass through the given point: 1=(−2)⋅(2)+a.
Thus, a=5.
Therefore, the equation of the line is y=5−2x.
At the mall, Timmy bought a T-shirt and a book for a total of $23. The book cost $12. How much did the T-shirt cost? Let x represent the unknown information. Write an addition equation that models the problem
Answers
Answer: x= 11
