[tex]-4x-1=-y\\y[/tex]
Flip the equation:
[tex]-y=-4x-1[/tex]
Divide both sides by -1:
[tex]\frac{-y}{-1} =\frac{-4x-1}{-1}[/tex]
[tex]y=4x+1[/tex]
__________________________________________________________
[tex]-4y+20+3x=0\\y[/tex]
Add -3x to both sides of the equation:
[tex]3x-4y+20+-3x=0+-3x\\-4y+20=-3x[/tex]
Add -20 to both sides of the equation:
[tex]-4y+20+-20=-3x+-20\\-4y=-3x-20[/tex]
Divide both sides by -4:
[tex]\frac{-4y}{-4} =\frac{-3x-20}{-4}[/tex]
[tex]y=\frac{3}{4} x+5[/tex]
help please do in few mins
The length of the red line segment on this number line is: C. 2 1/2.
What is a number line?A number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line can be used to compare or determine the difference (distance) between two numbers plotted on it. Additionally, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.
Note: Each interval on this number line represents 1/4 and the total intervals between the red dots is 10.
From the number line shown above, we have:
Distance = 10 × (1/4)
Distance = 10/4
Distance = 5/2
Distance = 2 1/2.
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Round 34,582 to the nearest thousand.
Answer:
35000
Step-by-step explanation:
So the number is 34582
now look at the hundreds
if it is 5 or over then we add a thousand to and subtract what ever the lower than thosand
and in this case it is 5 so we round UP
and now we have 35000
The answer is 35,000.
To round to the nearest thousand, we look at the last three digits. If these digits are 500 or greater, then we round the thousands digit up, and if they are less than 500, then we round down, keeping the thousand's digit the same.
Since in this case the last three digit consists of 582 which is greater than 500 so we round the thousands digit up i.e. from 4 to 5 in this case.
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Solve for x. Show your work.
Answer:
x = 35°
Step-by-step explanation:
Hello!
The sum of the two angles is 90°, so if we set the sum of the two angles to 90, we can solve for x.
Solve for x90 = 32 + 2x - 1270 = 2x35 = xThe value of x is 35°.
Solve for y 2(4y+7)=62
Answer:
2 (4y+7) = 62. y=6
Step-by-step explanation:
2 (4y+7) Distribute the 2
8y+14=62. use subtraction to cancel out
-14 -14
8y=48. Use division to cancel out
/8. /8
y=6
if one shirt costs £13,how many can I buy with £419?
Answer:
32 shirts
Step-by-step explanation:
419÷13
=32.230
Answer:
32
Step-by-step explanation:
419 divided by 13
= 32.230
What two numbers multiplied give you 100 and added give you 21?
Answer: [tex]\frac{21}{2}+\frac{\sqrt{41}}{2}, \frac{21}{2}-\frac{\sqrt{41}}{2}[/tex]
Step-by-step explanation:
Let the two numbers be x and y.
[tex]x+y=21 \implies y=21-x\\\\xy=100\\\\\therefore x(21-x)=100\\\\21x-x^2 =100\\\\x^2 -21x+100=0\\\\x=\frac{21 \pm \sqrt{21^2 -400}}{2}=\frac{21}{2} \pm \frac{\sqrt{41}}{2}[/tex]
If QP bisects ZDQL, m/DQP = 5x - 7, and m/PQL = 11 + 2x, determine
the measure of ZDQL.
m₂DQL =
When QP bisects DQL, then the angles DQP and angle PQL is 23°.
Given that,
In the picture we can see the diagram,
The QL line is there and the QD line.
QP line bisect the angles DQL
The angle DQP is 5x-7
The angle PQL is 11+2x
We have to find the x value and the angles DQP and PQL.
We know,
From the bisection we can say the angle are equal to each other
The angle DQP=The angle PQL
5x-7=11+2x
5x-2x=11+7
3x=18
x=18/3
x=6
Substitute x value in angles DQP and angle PQL.
The angle DQP=5x-7=5(6)-7=30-7=23°
The angle PQL=11+2x=11+2(6)=11+12=23°.
Therefore, the angles DQP and angle PQL is 23°.
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If Rie’s legs are 99cm long, and Rie is 165cm tall. What percentage of Rie’s body is legs?
The percentage of Rie's body that is Rie's legs is: 60%.
What is Percentage?A percentage can be defined as an amount in each hundred or, simply put, a proportion of a quantity in relation of a whole.
How to Find the Percentage of a Quantity in a Whole?To find the percentage of a quantity in a whole, divide the quantity by the whole quantity, then multiply the quotient by 100.
The "whole" in this problem is Rie's height, which is: 165 cm
The "quantity" in the context of this question is the length of Rie's leg, which is: 99 cm.
Therefore, to find the percentage of Rie's legs in Rie's body, we have the following:
99/165 × 100
= 0.6 × 100
= 60%.
Therefore, Rie's leg is 60% of Rie's body.
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15. Name the indicated parts of this diagram.AC __________________AE __________________DE __________________AB __________________ADE __________________________ACE = _______°CAB = _______°
SOLUTION:
We want to name the indicated parts on the diagram, their names are;
For the angles, we have;
[tex]\begin{gathered} \measuredangle ADE=22^o\text{ }(Inscribed\text{ }Angle) \\ \measuredangle ACE=44^o\text{ }(Central\text{ }Angle) \\ \measuredangle CAB=90^o\text{ }(Angle\text{ }between\text{ }radius\text{ }and\text{ }tangent) \end{gathered}[/tex]Y(x)=11 and y(x)=7
1 2
Answer: .63
Step-by-step explanation: y(11)=7
y(11)/11=7/11
A researcher numbers each household in the city and uses a random number generator to select individual households for the sample. By chance, none of the households chosen were households of single millennials. This is an example of Answer
. }.
A company's receipts gives a website where customers can fill out a survey to receive a coupon. This is an example of Answer
.
Your friend forgot she was supposed to conduct a poll of your high schools' students. She asks everyone in your homeroom if they think the school should have a new mascot. She presents the results to the student council. This is an example of Answer
undercoverage bias
1. The type of bias that the researcher would be making here based on the fact that the households were not that of single millennials is the sampling bias.
2. The voluntary response bias is the type of bias that is being done where the receipts of the website would be the bias that would occur from the company's website.
3. The under coverage bias is what would happen in this scenario given that the friend would not have to ask all of the persons that would be used for the study.
What is a research bias?This is the term that is used to refer to the systematic error that would occur in research due to the researchers methods.
1. The answer is the sampling error due to the fact that the random generator was what was used. This would end up giving a sample that would not show the true representation of all of the population.
2. The voluntary response bias is what would be made here because those filling the form are doing it voluntarily.
3. The undercoverage bias is made here because the opinion of the entire school population is not well represented here.
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right answer gets brainlist pls help asap
Answer:
6 units
Step-by-step explanation:
count the units between the two points
Is this relation a function? Justify your answer.
A. Yes because every x- and y-value is positive.
B. No because two points with the same y-value have different x-values.
C. No because two points with the same x-value have different y-values.
D. Yes because the number of x-values is the same as the number of y-values
Answer:
C. No because two points with the same x-value have different y-values.
Step-by-step explanation:
(view my screenshot attachment too please)
A function can't have same x-values that appear for multiple different y-values.
In the diagram, (10, 6) and (10, 9) indicate that it isn't a function.
This is because the same 10 appears twice (x-value) but with multiple different y-values (6 and 9).
Mark Trumbo of the Arizona Diamondbacks has hit five home runs in the thirty-five times he has been up to bat. At this pace, how many at bats would he need to hit twenty-three home runs?
What is the solution for the equation 2/5 x - 4 = 26 ?
The given expression is,
[tex]\frac{2}{5}x-4=26[/tex]Multiplying all the terms with 5, we get
[tex]\begin{gathered} 5\times\frac{2}{5}x-(5\times4)=(26\times5) \\ 2x-20=130 \\ 2x=130+20 \\ 2x=150 \\ x=\frac{150}{2}=75 \end{gathered}[/tex]Thus, the solution is, x = 75.
5 : it is night. someone who is 4 feet tall is walking away from a street light at a rate of 8 feet per second. the street light is 12 feet tall. the person casts a shadow on the ground in front of them. how fast is the length of the shadow growing when the person is 3 feet from the street light? the length of the shadow is growing at a rate of
When a person is 3 feet from a street light, the length of the shadow grows at a rate of 4 feet per second.
See the figure that illustrates the in question statement, attached.
making use of the related triangle theorem;
4/y = 12/x+y
Cross multiply
4(x+y)=12y
4x+4y = 12y
4x=8y
x/y =2
x=2y
Divide the two sides of the equation by t, where dx/dt = 2 dy/dt. The speed at which the person is walking away from the street light is expressed as dx/dt
The growth rate of the shadow's length is measured by the ratio dy/dt.
Given that dx/dt = 8ft/s
by solving,
dy/dt = 4 ft/s
Hence the rate at which the length of the shadow growing when the person is 3 feet from the street light is 4ft/s
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HELP PLEASE FASTTTTTTTT
Answer: I think it’s C
The National Research Council recommends keeping a 1 : 3 copper to zinc ratio in a horse’s diet. If the horse is getting 420 milligrams (mg) of zinc per day, how many milligrams of copper does the Council recommend the horse have?
If he National Research Council recommends keeping a 1 : 3 copper to zinc ratio in a horse’s diet. If the horse is getting 420 milligrams (mg) of zinc per day, The number of milligrams of copper that the Council recommend the horse have is : 140 milligrams.
How to find the milligrams of copper?Given data:
Copper to zinc ratio = 1 : 3
Zinc per day = 420 milligrams
Hence,
1 /3 = x / 420
x /420 = 1 / 3
Where x is the number of milligrams of copper
so,
x = 1 /3 × 430
x = 140 milligrams of copper
Therefore the milligrams of copper is 140 milligrams.
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Part AType an equation to represent the cost of the topsoil.Part BHow does the cost of the topsoil compare to the cost of the mulch?
Step 1
Write the equation of a line in slope point form
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]Where;
[tex]\begin{gathered} y_2=\text{ 60} \\ x_2=2 \\ y_1=\text{ 30} \\ x_1=\text{ 1} \end{gathered}[/tex]Step 2
Find the equation to represent the cost of the topsoil.
[tex]y-30=\frac{60-30}{2-1}(x-1)[/tex][tex]\begin{gathered} y-30\text{ = }\frac{30}{1}(x-1) \\ y-30=30x-30 \\ y=30x-30+30 \\ y=30x \end{gathered}[/tex]The equation that represents the cost of the topsoil is
y=30x
Step 3
Find how the cost of the topsoil compares to the cost of the mulch.
[tex]\begin{gathered} \text{The equation for the cost of the mulch y, in dollars is} \\ y=25x \\ \text{for x cubic yards of mulch} \\ \text{The equation for the cost of topsoil, y in dollars is} \\ y=30x \\ for\text{ x cubic yards of topsoil} \end{gathered}[/tex][tex]undefined[/tex]
3. x^3= 25
4.x² = 125
Step-by-step explanation:
Hope this helps..............
brainliest please
Consider the following trapezoid.
Find the value of X.
(Helpful for math-space users)
Answer; y = 108
Explanation;
x + 72 = 180
X=180-72
The value that represents the variable x in the trapezoid is 108 degrees
How to determine the value of x?From the question, the trapezoid represents the given parameter
We can see that the trapezoid is an isosceles triangle
This means that the angle x and y are congruent
The sum of angles is a trapezoid is 360 degrees
So, we have the following summation equation
x + x + 72+ 72 = 360
Evaluate the like terms
So, we have
2x + 144= 360
This gives
2x = 216
Divide by 2
x = 108
Hence, the value of x is 108 degrees
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Loule and Nicky were asked to find point P that divides the directed line segment FG so that the ratio of FP to PG is 4 to 1. Loule says the coordinate of point P is (-4,-4), while Nicky says the coordinate of point P is (2, 5). Who is correct? Describe the mistake that was made by the student who was incorrect
Using ratio and proportion, Louie is correct.
Ratio is defined as the relationship between two quantities. On the other hand, proportion is defined as the equality between two or more ratios.
From the given graph (see attached photo), the coordinates of Point F and Point G is (4, 8) and (-6, -7).
If the ratio of FP to PG is 4 to 1, then the ratio of the horizontal distance and vertical distance between the two endpoints is also 4 to 1.
FP : PG = 4 : 1
FP/PG = 4/1 = 4
x-coordinate of P
(4 - x)/(x - -6) = 4
(4 - x) = 4(x + 6)
4 - x = 4x + 24
-5x = 20
x = -4
y-coordinate of P
(8 - y)/(y - -7) = 4
(8 - y) = 4(y + 7)
8 - y = 4y + 28
-5y = 20
y = -4
Hence, the coordinates of Point P is (-4, -4).
Therefore, Louie is correct, while Nicky is mistaken probably while setting up the proportion and solving for the coordinates.
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Anjelah took a hike.She finished in 2 hours and 47 minutes.If she started at 10:15 A.M.,what time did she finish?
Anjelah finished at 1:02 P.M. if she started at 10:15 A.M. and she took 2 hours and 47 minutes to complete it.
According to the question,
We have the following information:
Anjelah finished in 2 hours and 47 minutes.
She started at 10:15 A.M.
Now, we know that there are 60 minutes in an hour (more to know: there are 60 seconds in a minute).
So, we will add 2 hours to 10:15 A.M.:
10:15 + 2:00
12:15 P.M.
(Note that the digits before the colon gives us time in hours and the digits after the colon gives us minutes.)
Now, we will add 47 minutes to it:
12:15 + 0:47
(Now, we know that only 45 minutes can be added to 15 minutes because then it will make an hour. So, 2 more minutes will be added to the next hour.)
So, we have the following expression:
1:02 P.M.
Hence, the time when Anjelah will finish is 1:02 P.M.
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A wise man once said, "300 reduced by 3 times my age is 84." What is his age?
Answer:
his age would be 72.
300-84=216
216÷3 is 72
The net of a rectangular prism is shown below. The surface area of each face is labeled.
We will have the following:
Inferring from the information presented in the diagram we can conclude that the measurements will be:
Base: 3ft * 12ft = 36f t^2
Side1: 3ft * 2ft = 6 ft^2
Side 2: 12ft * 2ft = 24 ft^2
So, the values that would represent the dimension will be:
Length: 12 ft.
Width: 3 ft.
Height: 2 ft.
1. -V64Name the set or sets or numbers to which each real number belongs?
1) an integer and a rational number
Explanation:
1) -√64 = -4
This is an integer.
Integers include natural numbers, the opposites of this numbers and zero.
-4 is a negative number and the opposite of the natural number 4
Hence -4 is an integer.
-4 can be written as a fraction:
-4 = -4/1
Hence, it is also a rational number
Use the Product Property for Exponents: thoroughly explain why x · x = x^2.
1) We need to consider that whenever we have a variable its exponent is raised to the 1st power, even when we don't write it as a superscript.
2) So we can write out the following steps to get that product as x²:
[tex]\begin{gathered} x=x^1 \\ x^1\cdot x^1=x^{1+1}=x^2 \end{gathered}[/tex]That's why we can write that, applying the property of exponents.
A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours What distance would it cover in 2 hours?
Answer:
120
2 1/2 hours is 150 minutes and your covers 150 miles in 150 minutes, so remove 30 minutes because 1/2 an hour is 30 minutes and remove 30 miles because you're going of time because 1 minute = 1 mile
The graph below represents the number of miles, y, that Jacob can drive his car for
every gallons of gas. Find the rate of change.
The average rate of change of the given graph is 31.3
How to determine the average rate of changeThe graph of the function is represented as the given parameter
From the graph, we have the following points
(x, y) = (10, 313) and (20, 626)
The average rate of change is the slope of the function and the average rate of change is calculated as
Average rate = [f(b) - f(a)]/[b - a]
Where
(a, f(a)) = (10, 313) and (b, f(b)) = (20, 626)
Substitute the known values in the above equation
So, we have
Average rate = [626 - 313]/[20 - 10]
Evaluate
Average rate = 31.3
Hence, the average rate is 31.3
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Write variable expressions: two operations
Write an expression for the sequence of operations described below.
multiply t by 5, then double the result
The expression for the sequence of operations is 2(t x 5).
Expression:
Expression consists of minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given,
Here we have the phrase "multiply t by 5, then double the result"
Now we have to written the algebraic expression for it.
For the given phrase, we have to divide it into two part,
The first part is "multiply t by 5",
So, it can be written as
=> 5 x t
Now, we have to move on to the next part that is,
"double the result".
For that, we have to multiply the first part by 2,
It can be written as,
=> 2 x ( 5 x t)
Therefore, the resulting expression is 2(5t).
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