Answer:
4/3
Step-by-step explanation:
[tex]4x-3y=0\\-3y=-4x\\3y=4x\\y=\frac{4}{3}x\\\\[/tex]
We know, y directly varies with x
hence,
[tex]y\ \alpha \ x\\[/tex]
remove the sign of proportionality
[tex]y=kx[/tex]
now compare with the above equation we get the value of k = 4/3
What is the percent of change from 5,000 to 9,000?
Answer:
40%
Step-by-step explanation:
10000 = 5000 = 50% + 9000 = 40%
what percent of 120 is 66?
Answer:
55%
Step-by-step explanation:
66
120
x 100% = 55%
Answer:
66 is 55% of 120
Step-by-step explanation:
66 = 120 * x%
percent just means out of 100
for example, 20% is equal to 20/100
so, x% is x/100
66 = 120 * x/100
66/[tex]\frac{x}{100}[/tex] = 120
66 * 100/x = 120
6600/x = 120
cross multiply
6600/x = 120/1
6600 * 1 = x * 120
6600/120 = x
x = 55
!!!!!!!!!!!!!!!!!!!!!!!
Answer:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
A shop is offering a 15% reduction on the price of a computer .The original price of the computer was $670.what is its reduced price?
Answer:
$569.50
Step-by-step explanation:
15% deduction from the initial price(100%) will have us remaining with 85%
100% = 670
85% = 85% x 670
100%
= $569.50
What is the rate of change of the function y= -7?
Answer:
Zero
Step-by-step explanation:
Average rate of change can also be called as gradient or change in the respective variable , in this case we need the average rate of change of y which has the function y = -7
Since this is a linear function and if we draw the graph of y = -7 the graph would be parallel to the x-axis, and any line parallel to the x-axis has slope of zero , hence the average rate of change of the function y = -7 is zero
Use the distributive property to remove the parentheses.
4(x-7)
Please give a step by step answer if possible
Divide each term in
4
x
=
7
by
4
.
4
x
4
=
7
4
Cancel the common factor of
4
.
Tap for more steps...
x
=
7
4
The result can be shown in multiple forms.
Exact Form:
x
=
7
4
Decimal Form:
x
=
1.75
Mixed Number Form:
x
=
1
3
4
Harry needs $1564 each month for bills and rent and $183 each week for weekly expenses. How much does he need to net yearly?
What is the first step in the standard construction of the perpendicular bisector of MN¯¯¯¯¯¯¯ ?
A.
Use a straightedge to draw a line perpendicular to line segment MN¯¯¯¯¯¯¯ .
B.
Use a straightedge to draw a line parallel to line MN¯¯¯¯¯¯¯.
C.
Use a compass to draw one arc with point M at the center and intersecting point N.
D.
Use a compass to draw two intersecting arcs with centers at points M and N.
Answer:
C. Use a compass to draw one arc with point M at the center and intersecting point N.
Step-by-step explanation:
I took the test and got it right.
Your welcome :)
Using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.
What are perpendicular bisectors?Lines that cut through the middle of each side of a triangle and are perpendicular to the specified side are known as the perpendicular bisectors of the triangle.
The standard construction of the perpendicular bisector of MN will be,
Step 1: Sketch a line segment with any appropriate length, XY.
Step 2: Using a compass, draw arcs above and below the line segment, with X serving as the center and XY's width greater than 50%.
Step 3: Carry out Step 2 but use Y as the center. Step 4: Write "P" and "Q" next to the junction points.
Thus, using a compass, draw one arc with point M at the center and point N intersecting it as the first step in the typical construction of the perpendicular bisector of MN. Option C is correct.
Learn more about the perpendicular bisectors here,
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What is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet? Pls show work
Answer: -1/4
Step-by-step explanation: The slope is rise over run. The ski run drops 5, so it would be -5, and the horizontal change of 20 would be the run, so you'd get -5 over 20 then you divide both by 5 and you get your answer of -1 over 4.
-1/4 is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
So the two points are (0,5) and (20,0)
m=0-5/20-0
m=-5/20
m=-1/4
Hence -1/4 is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
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A chart labeled table B: effect of mass on temperature with initial temperature as 25 degrees Celsius, mass w is 1.0 kilograms and h is 500 m. The chart is 5 columns and 5 rows. The first column is labeled mass c in kilograms with entries 1.0, 3.0, 6.0, 9.0. The second column is labeled temperature final in degrees celcius with entries 26.17, 28.52, 32.03, 35.55. The third column is labeled change in temperature in degrees celcius with entries 1.17, 3.52, 7.03, 10.55. The fourth column is labeled gravitational potential energy in kilojoules with no entries. The last column is labeled delta H in kilojoules with no entries. Use the data provided to calculate the gravitational potential energy of each cylinder mass. Round your answers to the nearest tenth. 3 kg: kJ 6 kg: kJ 9 kg: kJ
Answer:
3 kg= 14.7
6 kg= 29.4
9 kg= 44.1
Step-by-step explanation:
The gravitational potential energy of the cylinders as follows:
3 kg: 14.7 kJ, 6 kg: 29.4 kJ, and 9 kg: 44.1 kJ
What is the GPE?GPE is gravitational potential energy, mass is the mass of the object in kilograms, gravity is the acceleration due to gravity in meters per second squared (usually taken to be 9.8 m/s²), and height is the height of the object above the reference point in meters.
To calculate the gravitational potential energy (GPE) of an object, you need to know its mass, the acceleration due to gravity, and its height above a reference point. You can use the formula:
GPE = mass × gravity × height
In this case, the mass of each cylinder is given in the first column of the chart, and the height of the cylinders is 500 meters. However, the acceleration due to gravity is not given in the chart. We can assume that it is 9.8 m/s², but if you have a different value, you should use that instead.
Using these values, we can calculate the gravitational potential energy of the 3-kilogram cylinder as follows:
GPE = 3 kg × 9.8 m/s² × 500 m = 14700 kg m/s²
Converting this to kilojoules gives us:
GPE = 14700 kgm/s² × (1 J/1 kgm/s²) = 14700 J
Converting this to kilojoules (kJ) gives us:
GPE = 14700 J / 1000 J/kJ = 14.7 kJ
Therefore, the gravitational potential energy of the 3-kilogram cylinder is 14.7 kJ.
You can use the same process to calculate the gravitational potential energy of the 6-kilogram is 29.4 kJ and the 9-kilogram cylinders is 44.1 kJ.
Learn more about gravitational potential energy here:
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The height of a building is 1417 ft. How long would it take an object to fall to the ground from the top? Use the formula s = 16t ^ 2 where s is the distance, in feet traveled by an object falling freely from rest in seconds.
Given :
The height of a building is 1417 ft.
To Find :
How long would it take an object to fall to the ground from the top.
( Use the formula s = 16t² where s is the distance, in feet traveled by an object falling freely from rest in seconds. )
Solution :
Putting value of height in given equation, we get :
[tex]16t^2 = 1417\\\\t^2 = \dfrac{1417}{16}\\\\t^2 = 88.5625\\\\t = \sqrt{88.5625}\\\\t = 9.41 \ seconds[/tex]
Therefore, time taken by object to reach the ground is 9.41 seconds.
Can someone really help me please
Answer: 22
Step-by-step explanation:
what are the zeros of the polynomial x squared+5x+6
Answer: (-3, 0) and (-2, 0)
Step-by-step explanation:
1. Factor
(x+3)(x+2) = 0
2. Check if your factoring is correct
x^2 + 3x +2x + 6 = 0
x^2 + 5x + 6 = 0
3. Look back at factors and use them to find the zeros
(x+3) - > (-3, 0)
(x+2) -> (-2, 0)
The price of a ticket, in dollars, on the local commuter train can be determined from the expression 2.75 + 0.50(s), where s is the number of stops for which the passenger will be on the train. Use this expression to find the price of a ticket to ride the train for 13 stops.
Answer:
$9.25
Step-by-step explanation:
2.75+ .5(13)
.50 (13)= 6.5
6.5 +2.75= 9.25
tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute
Answer:
75
Step-by-step explanation:
Consider the equation x-5) =(y-2)2. What is the equation of the directri?
Hurry 20 points
what is -4 (-6x + 3) = 12
Answer: x = 1
Step-by-step explanation:
Simplifying
-4(-6x + 3) = 12
Reorder the terms:
-4(3 + -6x) = 12
(3 * -4 + -6x * -4) = 12
(-12 + 24x) = 12
Solving
-12 + 24x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 24x = 12 + 12
Combine like terms: -12 + 12 = 0
0 + 24x = 12 + 12
24x = 12 + 12
Combine like terms: 12 + 12 = 24
24x = 24
Divide each side by '24'.
x = 1
Simplifying
x = 1
Answer:
Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!
(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)
Answer:
The answer is (3-,5) watch is C cause if you do that but in math form it's the same
20pts answer please the picture
Answer: Hope this helps!
Step-by-step explanation:
Area of a trapezoid formula base a+base b/2*h
Base a is the top length (22.5)
Base b is the bottom length (49.9)
Add those two lengths together (22.5+49.9=72.4)
Divide that by two (72.4/2=36.2)
Then multiply that by the height (36.2*23.8=861.56)
So your area is 861.56
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−1/5x+3 ≤ 7
please solve asap im so confused
Answer:
Step-by-step explanation:
-1/5 x+3 ≤7
-1/5 x≤7-3
-1/5 x≤4
x≥-20
{-20,-10,0,10,20}
What is 100% of 7344
7344
4622
15,642
3672
Answer:
7344
Step-by-step explanation:
Answer:
the answer is 7344 mark brainliest
How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
Answer:A
Step-by-step explanation:
Using translation concepts, it is found that the corrects options are:
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.In this problem, the functions are:
[tex]f(x) = |x|[/tex]
[tex]g(x) = -2|x|[/tex]
g is the function of f multiplicated by -2, hence:
It is a vertical stretch, as it is multiplied by a value with absolute value greater than 1.It is multiplicated by a negative value, hence it is reflected over the x-axis.Hence, options b and c are correct.You can learn more about translation concepts at https://brainly.com/question/13671886
3/8 divided by 2/3.
Answer:
Fraction: 9/16
Decimal: 0.563
Solve the system.
2x + 3y – z = -1
6. x - 2y + 4z = 18
(5x + 6y – 2z = -6
Answer:
x=-4
y=7
z=14
Step-by-step explanation:
Jenna made money babysitting, and she also earned $20 cleaning her neighbor's basement. During the week, her total earnings were $55. If she charges $5 per hour for babysitting, how many hours did she babysit?
Answer:
Jenna spent 7 hours babysitting.
Step-by-step explanation:
With the information provided, you can say that Jenna's total earnings are equal to the amount she earned cleaning her neighbor's basement plus the result of multiplying the charge per hour for babysitting for the number f hours, which is:
e=20+5x, where:
e represents the total earnings
x is the number of hours
Now, you can replace e with 55 that is the toal amount she earned and solve for x:
55=20+5x
55-20=5x
35=5x
x=35/5
x=7
According to this, the answer is that Jenna spent 7 hours babysitting.
What is the slope of the line?
Answer:
- 7/4
Step-by-step explanation:
1) (y2 - y1)/(x2 - x1)
2) pick two points, mine were (1,-3) and (-3,4)
3) Substitute the values (4+3)/(-3-1)
4) Solve and no matter what points you’ll get -7/4
How do you solve quadratic equations?
Answer:
Completing the square
Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add. ...
Find the square root of both sides of the equation.
Solve the resulting equation.
Step-by-step explanation:
there
Answer: Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add.
Find the square root of both sides of the equation.
Solve the resulting equation.
Step-by-step explanation: Hope this helps!
A certain financial institution declared Php 57.00 dividend per share for its common stock. The market value of the stock is Php 198.00. Determine the stock yield ratio. (percentage with 2 decimal places)
Answer:
28.79
Step-by-step explanation:
The dividend share is Php 57
The Market value for the stock is Php 198
Therefore the stock yield ratio can be calculated as follows
= 58/198
= 0.2879 × 100
= 28.79
Hence the dividend stock yield ratio is 28.79
Help mee cuz if you help me I will give you brain last
Answer:
it is c
Step-by-step explanation:
Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?