Answer: 4/5
Step-by-step explanation: For a line to be parallel to another line there must be two conditions true.
Condition 1: Both lines must have the same slope (i.e the same x in the form y = mx + b)
Condition 2: Both lines must have different y-intercepts (i.e different b in the form y = mx + b)
Thus, if you are looking for the slope of the line parallel to y = 4/5x - 3, we can look at condition 1, and see that the slope should also be 4/5 for the other line.
Calculator
The observation deck of the Willis Tower in Chicago is 412 meters above the ground. On a scale drawing, this distance is 82.4
centimeters. The actual height of the building itself is 442 meters.
What is the height of Willis Tower in the scale drawing?
O 5.4 centimeters
O 76.8 centimeters
O 88.4 centimeters
O 112.4 centimeters
A
2 3
4
5
Finish
In the scale drawing, the height of building itself is 88 .4 centimeters.
What is scale drawing?
The scale drawing is a smaller edition of a large object. By using scale drawing we try to bring the large shape of image or any object within a sheet of paper or in a computer screen. The ratio of the dimension of scale drawing to the original dimension is called scale factor.
What is the height of Wills Tower in the scale drawing?
The height of observation deck of the Wills tower from ground surface = 412 meters
in the scale drawing the height of deck = 82.4 centimeters.
The actual height of Wills tower building = 442 meters
now, the height of Tower building in scale drawing = (442×82.4) / 412
in the scale drawing the height = 88.4 centimeters
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Anna says “ if a number is divisible by 4, then is it also divisible by 2 Do you agree Explain.
In the lab, Chau has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 12% alcohol. He uses 900 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 24% alcohol solution?
600 mL of solution B and 3(600) = 1800 mL of solution A are used by Chau.
How many letters make up one milliliter?It is equivalent to one thousandth of a liter (1 liter = 1000 milliliters) and is used to measure lesser amounts of liquid. The letters ml or mL are used to represent milliliters. Take note of the following graph, which displays 1000 ml of water. Capacity measurements are made using milliliters. It represents a thousandth of a liter. Alternatively said, a one-liter container might hold 1,000 milliliters. In the metric system, a milliliter abbreviated as ml or mL is a unit of volume. One cubic centimeter, or one milliliter, is equivalent to one thousandth of a liter.Let x = the amount of Solution B used
3x = the amount of Solution A used
Knowing that 13% = 0.13 and 18% = 0.18, we can create the equation shown below:
3x(0.13) + x(0.18) = 342 (Remember that the concentration of pure alcohol is 100%, or 1.00).
0.39x + 0.18x = 342
0.57x = 342
x = 600 mL
600 mL of solution B and 3(600) = 1800 mL of solution A are used by Elsa.
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Find the slope of a line perpendicular to the line 4x-3y=12
The slope of the line perpendicular to 4x-3y=12 is:
The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.
What is reciprocal?Reciprocity is a reciprocal exchange of goods, services, or privileges between two parties. It is often used in business transactions and in politics to create beneficial relationships and agreements between parties.
The slope of a line perpendicular to 4x-3y=12 is calculated by finding the negative reciprocal of the slope of the original line. To find the slope of the original line, we need to rewrite the equation in the form y = mx + b, where m is the slope.
In this case, we can rewrite the equation as:
3y = 4x - 12
Yielding the slope of the original line as m = 4/3.
The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.
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Find x and find the angle of M
Answer:
Step-by-step explanation:
well first you must question what 11 minus 9 is and its the x for m but do the same for o and combine the 2. i don't know if it will work i'm so past that
Stuck on these questions in my unit quadratic functions and equations.
questions are down below, many thanks!
Answer:
25
Step-by-step explanation:
25 because i used a calculator
Hi everyone please help me solve the wrong questions and how to graph it and explain how you solved it please, thank you!
7x^2-10=-17 solve by taking square root
Step-by-step explanation:
[tex]7x^2-10=-17\\7x^2=-7\\x^2=-1\\x=\sqrt{-1}\\x=\sqrt{i^2}\\\boxed{x=i,-i}[/tex]
HELP! I NEED HELP ASAP PLEASE!
Answer: False, False, True, False, True
Step-by-step explanation: JUST DO IT! MAKE YOUR DREAMS COME TRUE!
Rewrite (2x + 8) + 4 using the associative property. Then simplify.
Answer:
2x+12
Step-by-step explanation:
We can re-write (2x+8)+4 using the associative property of addition. The associative property states that you can move around the parenthesis in an addition problem.
We can write (2x+8)+4 as 2x+(8+4).
2x+(8+4) = 2x+12.
What is 8 times y to the power of 3 times 3/4
Answer:
[tex] \sqrt{1693} [/tex]
You can make 5 gal of liquid fertilizer by mixing 12 tsp of powdered fertilizer with water. Represent the relation between the teaspoons of powder used and the gallons of fertilizer made using a table, an equation, and a graph. Is the amount of fertilizer made a function of the amount of powder used?
So on solving the provided question, we can say that by equation , y = 5/8x; it makes a vertical line.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
Let y be the number of gallons of fertilizer produced by combining x tsp of fertilizer powder.
5 litres of liquid fertilizer are created by combining 8 tsp of fertilizer powder.
Therefore, the amount of liters of liquid fertilizer produced by combining 1 tsp of fertilizer powder = 5/8
gallons of LF by mixing x tsp of powder fertiliser = 5/8x
the required equation is => y = 5/8x
so by graph it makes a vertical line.
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Let f be the function given by f(x) = tan x and let g be the function given by g(x) = x³. At
what value of x in the interval 0 ≤x≤ pi do the graphs of f and g have parallel tangent lines?
The value of x in the interval 0 ≤x≤ pi is 2.083 so the graph f and g have parallel tangent lines
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x) = tan x
and, g(x) = x²
Now, f(x) = t g(x)
and, g(x) = x²
On differentiating f(x) we get
f'(x) = t g²(x) + 1
and, g(x) = 2x
Now, the parallel tangent line
f' (x) = g'(x)
t g²(x) + 1 = 2x
since the interval for x is 0 ≤x≤ pi.
So, the value of x = 2.083
Hence, the value of x is 2.083.
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A company makes bags of rice.
. One machine fills each bag with approximately 48 ounces of
rice.
. After the bags are filled; another machine weighs each bag.
. A bag is discarded if the weight differs by more than 0.35
ounces from the target weight.
Which inequality can be used to find the range of acceptable
weights, x, of the rice?
The weight of the rice bags should be less than the weight of 48.35 ounces. Inequality can be written as x < 48.35 ounces.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
That One machine fills each bag with approximately 48 ounces of rice. After the bags are filled; another machine weighs each bag. A bag is discarded if the weight differs by more than 0.35.
The inequality for the bags can be written as
x < 48.35 Ounces
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Complete the table below, indicating what percentage of your overall course grade is taken from each course component:
In-Class Participation: 2 % (we'll assume this to be true for this question, though it might be different for your section)
Graded Homework in WebAssign: 23
%
Midterm Tests (total for three tests): 50
Final Exam: 25
%
%
Let's assume that you earn 100% for your In-Class Participation score, 91% for your Graded Homework score 95%.on.Test 1,
81% on Test 2, 97% on Test 3, and 86% on the Final Exam. What would your overall course grade be?
x
Enter a number.
The ultimate grade for the course is determined by the average of all completed assignments. Answer is 92.
What would be the final grade for the course?You must first add up all of your grades if your instructor or professor employs a total points system.Afterward, tally the number of points available for each of those grades.
Your class grade can be calculated by dividing your earned points by the total points available.Follow these steps if you want to accomplish it by hand:The letter grade's value is calculated by dividing it by the course's total number of credits.Do this for each class, then add them all up.
Subtract the total by the number of credits.
75% of the test score would be 76 x 0.75 = 57
80-57 = 23
They need 23 more points to get an 80
The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam
answer: 92
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100 POINT!
Explain the mistake of this problem.
(the top is the real problem and the bottom 2 lines is them simplifying it.) (I'm pretty sure you're finding out the mistake in them simplifying.
Answer:
- 18 - 2√3-------------------------------
See the correct solution below:
(2 + 2√3)(3 - 4√3) = 6 - 8√3 + 6√3 - 8√9 = The mistake was at this step6 - 2√3 - 8*3 = Also not considered √9 = 3 6 - 2√3 - 24 = - 18 - 2√3*8th Grade practicing 9th Grade courses for regents*
Question:
4x + 8y = 20
-4x = 2y = -30
Type of Math: System of Equations (elimination)
What I would like to know, is the positive 4x in the top equation and the negative 4x in the bottom equation a zero pair? Thanks in advance!
The solution to the system of equation shown is (7, -1)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Given the equation:
4x + 8y = 20 (1)
-4x + 2y = -30 (2)
Solving by elimination method. Add equation 2 and 1:
10y = -10
y = -1
Put y = -1 in eqn 1:
4x + 8(-1) = 20
4x - 8 = 20
4x = 28
x = 7
The solution is (7, -1)
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The figure shows intersecting lines k and m. What is the measure of angle a
The measure of angle a is given as 94 degrees.
How to solve for the value of aIn order to get the value of a, we have to use the formula for the sum of angles in a straight line.
The sum of angles that are in a straight line is given as 180
this is summed up and equated to 180
From the figure,
m∠1 = 86 degrees
m∠2 = a
we have to sum this up and equate the value to 180 degrees
86 degrees + a = 180 degrees
a = 180 - 86
a = 94 degrees
Therefore the measure of the angle a is given as 94 degrees
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A grocer has three baskets of peaches. One holds 45 peaches and weighs 17 pounds, a second holds 55 peaches and weighs 21 pounds, and the third holds 60 peaches and weighs 25 pounds. What is the
mean wight of a peach? (keep your answer in two decimals if there is any decimals).
Answer:
Step-by-step explanation:
45 peaches + 55 peaches + 60 peaches = 160 peaches total
17 pounds + 21 pounds + 25 pounds = 63 pounds total
63 pounds / 160 peaches = about 0.39 pounds per peach
Step be step
(+1 point) Write the equation of the line in slope-intercept form given the following information.
18. slope = -2 and y-intercept (0,6)
(+3 points) Write the equation of the line given the following information in point-slope form
then rewrite in slope-intercept form.
19. Slope =
contains (-4, 3)
Answer:
18. y = -2x + 6
19. y = -1/2x -1/2
Step-by-step explanation:
y = mx + b
18. The point (0,6) 0 is the x-intercept and 6 is the y-intercept
For now, all we care about is 6
-2 is the slope which means the line will go down 2 and right 1
m = slope
b = y-intercept
y = -2x + 6
19.
-1/2 is the slope which means the line will go down 1 and right 2
For the y-intersept, I just played with it on a graphing calculater until I got it right.
m = slope
b = y-intercept
y = -1/2x -1/2
Fill out the blank. Use the corresponding theorems
On solving the provided question we can say that from the provided quadrilateral ABCD, ∠ BAD and ∠BCD are supplementary, ∠ABC and ∠ADC are supplementary.
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
from the provided quadrilateral ABCD,
∠ BAD and ∠BCD are supplementary,
∠ABC and ∠ADC are supplementary.
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The city of Montgomery collects 4 times more tons of plastic than tons of glass in their recycling program.the city collected 80 tons of glass in june.how much plastic did the city collect in June?
According to the information, it can be inferred that the city of Montgomery collected 320 tons of plastic in the month of June.
How to calculate how many tons of plastic the city collected in June?To calculate how many tons of plastic the city collected in June we must take into account the following information.
The city of Montgomery collects 4 times more tons of plastic than tons of glass in their recycling program.the city collected 80 tons of glass in june.Taking this information as a reference, we must perform the following operation to find the amount of plastic that Montgomery collected in June:
80 * 4 = 320So, the city of Montgomery collected 320 tons of trash in the month of June.
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What is the 10th term of the arithmetic sequence defined by the formula
The 10th term of the arithmetic sequence is T₁₀ = a + 9d. a is the first term and d is the common ratio.
What is a sequence?
A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It has members, just like a set. The length of the sequence is defined as the number of items.
An arithmetic sequence follows a pattern.
Arithmetic progression or arithmetic sequence is a number sequence in which the difference between subsequent terms is constant.
The formula for nth term of the sequence is
Tn = a + (n - 1)d
Where a is the first term, d is the common ratio, and n is the number of terms.
Putting n = 10 in Tn = a + (n - 1)d
T₁₀ = a + (10- 1)d
T₁₀ = a + 9d
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Subtract 3x² + 7x - 4 from
8x² - 6x + 2.
standard form
On subtracting 3x² + 7x - 4 from 8x² - 6x + 2, the expression in standard form is obtained as 5x² - 13x + 6.
What is standard form?
To make mathematics easier for everyone to read, write, and work with, mathematicians from all around the world resolved to come to basic writing standards. The term "standard form" refers to this particular method.
The given expressions are -
a = 3x² + 7x - 4 and b = 8x² - 6x + 2.
Subtract a from b. The expression will be -
= (8x² - 6x + 2) - (3x² + 7x - 4)
= 8x² - 6x + 2 - 3x² - 7x + 4
= 5x² - 13x + 6
Therefore, the standard form is 5x² - 13x + 6.
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Which data set matches the line plot
Answer: The fourth data set (bottom right corner).
Step-by-step explanation: In the graph shown the dots represent a value in the data set. In the graph, there are 4 data sets above 2 meaning that there should be 4 values of 2 in the data set. A quick scan will show that the only logical answer is the fourth set since this is the only set with 4 2s. You can repeat this process for the rest of the dots to check your work.
which travels faster: a car that travels 6 miles in 10 minutes at a constant speed, or a train that travels 6 miles in 8 minutes at a constant speed? Explain how you know.
Both the car and the train are traveling at the same speed because they both cover the same distance in different amounts of time.
How does this happen?In this scenario,
the car is traveling at a speed of 0.6 miles per minute
and the train is traveling at a speed of 0.75 miles per minute.
Therefore, both are traveling at the same speed of 6 miles in 10 minutes or 6 miles in 8 minutes.
With this in mind, it can be seen that they both travel at the same speed and none is faster.
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63.8 x 4.6
show your work ;)
Therefore, by simply multiplying 63.8 by 4.6, we get 293.48. Once you have mastered each times table, move on to the next one.
what is multiplication ?The quantity of items in the group expands as we multiply. Along with addition, subtraction, and division, multiplication is one of the four fundamental mathematical operations. In the first and second grades, students learn how to represent, work out, and extend their counting sequences. Students start learning basic multiplication facts and times tables in the third grade.
given
Slice up the information into manageable pieces. With a straightforward picture, give the facts context. Teach your kid how to use the simpler facts as stepping stones for the more difficult ones. Once you have mastered each times table, move on to the next one.
63.8 x 4.6
by simple multiplication
= 293.48
Therefore, by simply multiplying 63.8 by 4.6, we get 293.48.
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Name the marked angle in 2 different ways.
Answer:
angle SRQ or angle QRS
Step-by-step explanation:
R is the middle angle, so it will always be in between the other two variables :)
Simplify the expression: -2+2g-(3g+4)
Answer:
- g - 6----------------------------
Given expression:
-2 + 2g - (3g + 4)Simplify it in steps:
-2 + 2g - (3g + 4) = - 2 + 2g - 3g - 4 = (2 - 3)g - 6 = - g - 6Answer:
[tex] \sf \: - g - 6[/tex]
Step-by-step explanation:
The expression is,
→ -2 + 2g - (3g + 4)
Let's simplify the expression,
→ -2 + 2g - (3g + 4)
→ -2 + 2g - 3g - 4
→ (-3g + 2g) + (-2 - 4)
→ (-g) + (-6)
→ -g - 6
Hence, the answer is -g - 6.
Which of these is a reflex angle:an angle of one hundred degrees or an angle of two hundred degrees
Answer:
the two hundred degrees angle is the reflex angle.
Step-by-step explanation:
reflex angle is and angle that is more than 180 degrees and less than 360 degrees.
the 200 degree angle is above 180 and lower than 360 degrees. The 100 is lower than 180 so I can't be it