The slope of the line through each pair of points (16,1), (17,7) is 6.
A line's slope serves as a gauge for its steepness. Between any two locations on the line, it is the ratio of the vertical change to the horizontal change.
The slope of a line can be positive, negative, zero, or undefined.
In algebraic equations, the letter "m" frequently stands in for slope. In slope-intercept form, a line's equation is written as y = mx + b, where m denotes the line's slope and b its y-intercept.
To find the slope of the line that passes through two points (x1, y1) and (x2, y2), you can use the following formula
m = (y2 - y1) ÷ (x2 - x1)
where m is the slope of the line and (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the slope of the line through the points (16,1) and (17,7) is:
m = (7 - 1) ÷ (17 - 16) = 6 ÷ 1 = 6
So the slope of the line is 6.
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i tried using brainly but i couldnt find this question!
Answer:
dddd
Step-by-step explanation:
If the sun is 57 degrees above the horizon, find the length of the shadow cast by a building 56 ft tall. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
The Length of shadow is 35.56 ft.
Given that,
If the sun is 68° above the horizon.
Based on the above information, the calculation is as follows:
tan68° =BC divide AC
tan68° =88 divide b
b =88 divide tan68°
=88 divide 2.475
= 35.56 ft.
n% of 28 is 14 `percentage`
Answer:
The Percentage is 50% because 14 is the half of 28.
Ms. Sharon bought 84 litre of cooking oil. She used 1/3 of it on Monday and another 20 litre
of it on Tuesday.
a) How much oil she used on Monday?
b) How much cooking oil did she use altogether?
c) How much cooking oil was left with her?
d) Write the fraction of cooking oil left with her
Marcus makes the statement "15 more than twice a number is equal to 5” What number makes Marcus's statement true?
O-5
O 7.5
O -2.5
O 10
So we know that we need to add 15 to the double of this number. We know we need to add 15 since it says "15 more than" and we know we need to double/multiply the number by two since it says "twice a number"! We also know that this mystery number equals 5.
Therefore, we can set up our equation and solve! The variable x is used to represent the number we're looking for!
2x + 15 = 5
2x = -10
x = -5
So, your answer should be -5!
Find the distance between the points
(-5/2, 9/4) and(-1/2,-3/4)
Give the exact distance and an approximate distance rounded to at least 2 decimal places.
Make sure to fully simplify any radicals in first answer
Answer:
Step-by-step explanation:
distance = [tex]\sqrt{(-5/2+1/2)^{2} +(9/4+3/4)^{2} }=\sqrt{13}[/tex]=3.61
A camper lights an oil lantern at 12 noon lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant tare of each hour. At 2 p.m., the amount of oil left in the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 61 1/2 ounces. Based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at 12 noon?
Show your work.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The rate at which the oil burns.
1 hour = 2/3 ounce
At 12 noon = 193/3 = 64.33 ounces
At 2 pm = 63 ounces
At 5 pm = 61 ounces
The amount of oil at 12 noon is 64.33 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.
At 2 p.m., the amount of oil left in the lantern is 63 ounces.
At 5 p.m., the amount of oil left in the lantern is 61 ounces.
This means,
Amount of oil burnt in the lantern from 2 pm to 5 pm.
= 63 ounces - 61 ounces
= 2 ounces
Now,
3 hours = 2 ounces
2 hours = 1.33 ounces
1 hour = 0.67 ounces
Now,
The number of hours from 12 noon to 2 pm.
= 2 hours
So,
The amount of oil at 12 noon.
= 63 + 4/3
= (189 + 4) / 3
= 193/3 ounces
Thus,
The amount of oil at 12 noon is 65 ounces.
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In a basket there are 18 tomatoes, 12 potatoes, and 8 carrots.identify the ratio of carrots and potatoes to tomatoes in all 3 forms.
Answer:
Step-by-step explanation:
Answer: 10:9, 10/9, 10 to 9.
Step-by-step explanation:
The weight of the square is 10 grams. How much heavier is the circle than the square?
The weight of the circle is heavier than the weight of the square by the weight of the triangle
How to find how much weightier is the circle as compared with the squareExamining the weights, can lead to a linear equation, the equation will have the follows parameters
let t represent triangle
let c represent circle
let s represent square
6s + 3t = 3s + 3c
6s - 3s + 3t = 3s + 3c
3s + 3t = 3c
divide through by 3
s + t = c
10 + t = c
From the equation 10 + t = c we can say that the weight of the circle is a triangle weight more than the square
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A manager at a shopping mall counts 244 males and n females as they enter the mall. The manager realizes that 25% of all males and 25% of all females are children. She writes the expression 0.25n + 61 to represent the number of children who enter the mall. Is the manager correct? Why or why not?
The manager (blank, choose is or is not) correct because the original expression 0.25(n + 244) (blank, choose is or is not) equivalent to the manager’s expression, 0.25n + 61.
Answer:
The manager is not correct in her calculation.
Step-by-step explanation:
There are 244 males and n females who entered the mall as the manager at the shopping mall counts.
If 25% of all males are children, then the number of male children are .
Again, the 25% of all female are children, then the number of female chilfren are .
Therefore, the total number of children will be (60 + 0.25n).
But the manager gives the number of children to be 0.25n + 61 who entered the mall.
So, the manager is not correct in that calculation. (Answer)
Step-by-step explanation:
•15 POINTS• don’t explain
A.neither
B.HL
C.SAS
Answer:
C
Step-by-step explanation:
2 sides and the included angle of both triangles are congruent, then the triangles are congruent by SAS postulate
Jacob runs 2652 yards in 15 minutes. Michael runs 7920ft in .375 hours. who will win the race?
Answer:
I think Jacob wins the race
Which of the following numbers is one fifth of a given number if one fourth of that same number is 20
Answer:100
Step-by-step explanation:
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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6x(2x+3)+1(2x+3)
Rewrite the expression
A 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29. How much can be saved per ounce by guiding the larger box
The amount of money that can be saved per ounce by guiding the larger box is $0.009.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that a 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29.
For the larger box -
38 ounce box of cat food costs $1.69
1 ounce of this box will cost $(1.69/38) = $0.045
For the smaller box -
24 ounce box of cat food costs $1.29
1 ounce of this box will cost $(1.29/24) = $0.054
Money that can be saved per ounce by guiding the larger box -
0.054 - 0.045
0.009
Therefore, the amount of money that can be saved per ounce by guiding the larger box is $0.009.
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Pacquiao has inherited P6,000 from the death of his Grandma . He would like to use this money to buy his mom Dionisia a new bicycle costing P7,000 2 years from now. Will Pacquiao have enough money to buy the gift if he deposits his money in an account paying 8 percent compounded semi-annually?
Pacquiao will have enough money (a future value of up to P7,000) to buy the gift if he deposits his money (P6,000) in an account paying 8 percent compounded semi-annually.
What is the future value?The future value is the compounded present value at an interest rate.
The future value can be determined using an online finance calculator, FV table, or FV formula.
N (# of periods) = 4 (2 years x 2)
I/Y (Interest per year) = 8%
PV (Present Value) = P6,000
PMT (Periodic Payment) = P0
Results:
Future Value (FV) = P7,019.15
Total Interest = P1,019.15
Thus, in 2 years' time, Pacquiao will have P7,019 enough to buy his mom a new bicycle.
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Please help will mark Brainly
Answer:
they are intersecting.. so, there's one solution. the ordered pair is (-1,4).
SOMEONE HELP! I don’t understand
Answer:
Step-by-step explanation:
That is not possible.
Help me please 35 points on the line
Answer shown in bold
401924109147The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.
========================================================
Explanations:
Add up all of the values in the Venn diagram to find the total. Therefore, 9+10+14+7 = 40 students were surveyed.We add the values in the "social interaction activities" circle only. There are 9+10 = 19 students here.This time add up the values in the "technology driven activities" to get 10+14 = 24 students.The answer is 10 because this value is in the overlapped region between the two circles. The answer is 9 since this value is in the "social interaction activities" circle, but outside the other circle. The answer is 14 as this value is in the "technology driven activities" circle, but outside the other circle.The answer is 7 because this value is outside both circles.Let me know if you have any questions.
‐3 + 4(a – 3b + 2) – 5(2 – a + 3b)
Answer: 15a – 12b – 5.
Step-by-step explanation: To solve this equation, we need to distribute the constants in front of the parentheses. Doing so, we get:
-3 + 4(a – 3b + 2) – 5(2 – a + 3b)
= -3 + 4a – 12b + 8 – 10 + 15a – 15b
= (15a – 12b) + (-10 + 8) – 3
= 15a – 12b + -2 – 3
= 15a – 12b – 5
Thus, the solution to the equation is 15a – 12b – 5.
make this equation true using grouping symbols.
39 + 5 - 3^2 = 13
ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.
What is an equation?There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.
X now has 300 mg of sodium in it.
[tex]x = 300[/tex]
Y also has 450 mg of sodium in it.
[tex]y = 450[/tex]
Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.
Let the number of frozen dinners be "b," and the number of soup cans be "a."
ax + by = 6000
a(300) + b(450) = 6000 .
Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation
[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]
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Evaluate the expression (42 + 2) -5
Answer:
39
Step-by-step explanation:
Solve inside of the parenthesis, then open them and solve.
(42 + 2) - 5
(44) - 5
44 - 5
39
Answer:
39
Step-by-step explanation:
42+2−5
=39
evaluate 7 to the 3rd power x 7 to the 3rd power
Answer:117649
Step-by-step explanation:
Pls help! Step by step:)
Answer:
tan30° = [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{12}[/tex]
Answer:
[tex]\dfrac{5}{12}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
From inspection of the given right triangle:
θ = 30°O = 5A = 12H = 13Substitute the values into the tan trigonometric ratio:
[tex]\implies \tan(30^{\circ})=\dfrac{5}{12}[/tex]
O
(-∞0,00)
(-2,00)
A
{rr > -1}
{x|x < -2}
The domain of the function whose graph shown in diagram is x ≤ 1.
What is the domain of a function?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.
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The minute hand of a clock is 7 minutes. How far does the tip of the minute hand move in 50 minutes?
The distance that the minute hand moves in 50 minutes, given that it started at 7 minutes, is 258 degrees.
How to find the distance moved ?A rotatation around the clock by the minute hand, is a full 360 degrees as it begins at 12 and ends at 12 .
If a minute hand is at 7 minutes, then it means that the degrees moved is:
= 7 / 60 x 360
= 42 degrees
At 50 minutes, the degrees moved is :
= 50 / 60 x 360
= 300 degrees
Seeing as the minute hand started at 7 minutes, the distance moved is :
= 300 - 42
= 258 degrees
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What is the slope of a horizontal line? Write the equation of an example of a horizontal line.
The slope of the horizontal line will be zero.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.
The horizontal line always has zero slopes because the y coordinate will always be the same for two points.
The slope is calculated by the formula below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
y₂ = y₁
Slope = ( y₁ - y₁ ) / ( x₂ - x₁ )
Slope = 0
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if john makes $55 working 2 hours , how much would he make working 8 hours ?
Answer:
$220
Step-by-step explanation:
Find the amount of money John makes in one hour:
[tex]55\div2=27.5[/tex]
[tex]=27.5[/tex]
John makes $27.50 an hour, now multiply the amount of money earned per hour, by the number of hours he worked.
[tex]27.50\times8=220[/tex]
[tex]=220[/tex]
John made "$220 dollars an hour."
Hope this helps.
each minute your heart pumps 1.5 gallons of blood around your body. How many pints of blood will your heart pump in a day? PLEASE HELP ME
Answer:
So there are 60 minutes in an hour, and since there are 24 hours in a day you will multiply 60 by 24:
60 * 24 = 1440.
That multiplied by 1.5 is 2160, so that would be your answer.
Step-by-step explanation:
Hope it helps! =D