Answer:
(x, y) = (57/4, 31/4)
Step-by-step explanation:
-2x + 6y = 18
-2x = 18 - 6y
x = -9 + 3y
3(-9 + 3y) - 5y = 4
-27 + 9y - 5y = 4
4y = 31
y = 31/4
x = -9 + 3(31/4) = 57/4
Answer:
Step-by-step explanation:
-5y=4-3x
y=(4/-5)-(3/-5x)
2x+6y=18
6y=18-2x
y=18/6-(2/6x)
y=y
(4/-5)-(3/-5x)=18/6-(2/6x)
0.93x=3.8
x=3.8/0.93
x=4.09
sub 4.09 for the 3x-5y=4
which will give you y=1.65
sub 4.09 for -2x+6y=18
which will give you y=4.36
Two friends, Bart and Claudia, purchased concessions at a basketball game.
Bart purchased 2 drinks and 2 candy bars for a total of $5.00.
Claudia purchased 1 drink and 4 candy bars for a total of $4.75.
Which statement is true?
Drinks cost $1.75 each, and candy bars cost $0.75 each.
Drinks cost 1 point 7 5 dollars each, and candy bars cost 0 point 7 5 dollars each.
Drinks cost $0.75 each, and candy bars cost $1.75 each.
Drinks cost 0 point 7 5 dollars each, and candy bars cost 1 point 7 5 dollars each.
Drinks cost $1.25 each, and candy bars cost $1.25 each.
Drinks cost 1 point 2 5 dollars each, and candy bars cost 1 point 2 5 dollars each.
Drinks cost $1.00 each, and candy bars cost $0.75 each.
The Drink cost $1.75 each, and candy bars cost $0.75 each.
let
The price of a drink = x
The price of a candy bar = y
Bart total purchase
2x + 2y = 5Claudia total purchase
x + 4y = 4.75The cost of each can be calculated by combining the equations. Therefore,
2x + 2y = 5
x + 4y = 4.75
x = 4.75 - 4y
2(4.75 - 4y) + 2y = 5
9.5 - 8y + 2y = 5
9.5 - 6y = 5
-6y = -4.5
y = -4.5/-6
y = 0.75
2(0.75) + 2x = 5
1.5 + 2x = 5
2x = 5 - 1.5
2x = 3.5
x = 3.5/2
x = 1.75
Cost of a drink = $1.75
Cost of a candy bars = $0.75
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1. Solve
2 -(3 -1)=6(1- )
Answer:
2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6
Step-by-step explanation:
Ally's science class was looking at bacteria through a microscope. Ally's teacher said some bacteria can be as small as 0.00365 cm long. What is the length of the bacteria written in scientific notation?
The length of the bacteria should be written in scientific notation.
0.00365 in scientific notation = 3 × 10^-3
Given.
length of the bacteria in decimal = 0.00365 cm long
Scientific notation is written in the format x × 10ⁿ
where,
x = any number between digit 1 and 10
n = exponent (positive or negative).
To have a negative exponent value, move decimal to the rightTo have a positive exponent value, move the decimal point to the left.In this case, the nearest significant value is 3
So move the decimal point three times to where 3 is
That is,
0.00365 = 3.65
Since the decimal point is moved to the right 3 times, n = - 3
we have 10^-3
Therefore,
0.00365 in scientific notation = 3 × 10^-3
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What is x^2-4+4? Thanks!
Answer:
(x-2)(x-2) or (x-2)^2
Step-by-step explanation:
Hope this helps!
Voting in Hillsboro's annual school board elections has been going down by 5% from one election to the next. If 900 parents voted this year, how many will vote 9 years from now?
If necessary, round your answer to the nearest whole number.
9514 1404 393
Answer:
567
Step-by-step explanation:
The multiplier each year is 1 -5% = 0.95. Applying that multiplier 9 times gives ...
900(0.95^9) ≈ 567
About 567 voters are expected to vote 9 years from now.
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches. How much flour does Nate need to make his cookies? 5 7/12 cups 6 1/12cups 6 7/12 7 1/2cups
Answer:
correct the answer is 7[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.
Given that,
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches, how much flour does Nate need to make his cookies is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Amount of floor for each batch of cookie = 2 1/4
Total floor required to bake 3 1/3 batches = 9 / 4 × 10 / 3 = 7 1 / 2
Thus, the required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.
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f(9) = -14. what is the value of f^-1(-14)
Please show step by step :)
Answer:
[tex]f^{-1}[/tex] (- 14) = 9
Step-by-step explanation:
f(9) = - 14 maps x = 9 to y = - 14
The inverse maps y = - 14 to x = 9 , that is
[tex]f^{-1}[/tex] (- 14) = 9
form the equation: maha's father is 46 years old. He is 6 years older than four times maha's age. (let maha's age be x)
What is an equation of the line that passes through the point (-4,-6) and is
perpendicular to the line 2c – y = 6?
Answer:
y = -1/2c - 8
Step-by-step explanation:
2c - y = 6
2c -6 = y
Slope: 2. Slope of the perpendicular line: -1/2
Point (-4,-6)
y-intercept = -6 - (-1/2)(-4)
b = -6 -2 = -8
The equation of the line that passes through the point [tex](-4,-6)[/tex] and is
perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].
What is equation of the line ?Equation of the line: The general equation of a straight line is [tex]y = mx + c[/tex]. This variable [tex]'c'[/tex] is called the intercept on the [tex]y-axis[/tex]. And [tex]y = c[/tex] is the value where the line cuts the [tex]y-axis[/tex].
Here,
[tex]m=[/tex] the gradient,
[tex]c=[/tex] the intercept on the y-axis
We have,
An equation of the line that passes through the point [tex](-4,-6)[/tex] and is
perpendicular to the line [tex]2c - y = 6[/tex] .
So,
Line [tex]2c - y = 6[/tex]
[tex]2c - y = 6[/tex]
⇒ [tex]y=2c-6[/tex]
and [tex]y = mx + c[/tex]
On comparing above two equations
[tex]m=2[/tex]
and Slope [tex]=-\frac{1}{m}[/tex]
So, Slope [tex]=-\frac{1}{2}[/tex]
Now,
Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slope of required equation [tex]=\frac{-1}{Slope \ of \ 2c-y=6}[/tex]
[tex]=\frac{-1}{\frac{(-1)}{2} }=2[/tex]
Now,
Equation of line with slope [tex]2[/tex] and passing through point [tex](-4,-6)[/tex] ,
Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]2=\frac{y_{2} -(-6) }{x_{2} -(-4) }[/tex]
[tex]2x_{2} +8=y_{2} +6[/tex]
[tex]2x_{2} -y_{2} +2=0[/tex]
So, the equation of the line is [tex]2x_{2} -y_{2} +2=0[/tex] .
Hence, we can say that the equation of the line that passes through the point [tex](-4,-6)[/tex] and is perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].
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If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)
Answer:
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given that,
[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]
So, using this, we get
[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]
On comparing real and Imaginary parts, we get
[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]
and
[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]
[tex]\rm \: = \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]
[tex]\rm \: = \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]
[tex]\rm \: = \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]
[tex]\rm \: = \: 4{x}^{2} - {4y}^{2}[/tex]
[tex]\rm \: = \: 4({x}^{2} - {y}^{2})[/tex]
Hence, Proved
HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score??
MY LAST POST GOT REMOVED PLS HELP I NEED THIS DONE TODAY!!
Interpreting the situation, we have that:
a) The system of equations is:
[tex]y = 2x - 7[/tex]
[tex]y = 6 + x[/tex]
b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.
Item a:
In our system, we have that:
Jacob's score is of x.Paul's score is of y.Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:
[tex]y + 7 = 2x[/tex]
[tex]y = 2x - 7[/tex]
Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:
[tex]y = 6 + x[/tex]
Item b:
Equaling both equations:
[tex]2x - 7 = 6 + x[/tex]
[tex]x = 13[/tex]
[tex]y = 6 + x = 6 + 13 = 19[/tex]
Jacob scored 13 and Paul scored 19.
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If l is parallel to m find the value of X (x+72)=(3x)
Answer:
x = 27°
Step-by-step explanation:
Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°
x + 72 + 3x = 180
4x + 72 = 180
4x = 108
x = 108/4
x = 27°
The value of x will be 27 degree
The solution to the above problemGiven the lines are parallel you have a pair of same-side interior angles and these angles = 180°
x + 72 + 3x = 180
4x + 72 = 180
4x = 108
x = 108/4
x = 27°
The value of x will be 27 degree
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Look!! I need the answer asap, please!
[tex]\bf x+38=-25[/tex]
Answer:
-63Step-by-step explanation:
= > x + 38 = - 25 = > x = - 25 - 38 = > x = - 63...ansHOPE IT HELPS YOU!!!!Answer:
-63 that should help
Step-by-step explanation:
Write the equation of the line parallel to a line with the equation y = -6x+4 and passes through the point (-2, 6).
Answer:
its 0
Step-by-step explanation:
yea i made that up I NEED POINTS ALR
i need to find out what the answer to this math problem is. 7/8 divided by 1/6
- Equation Editor A set of curtains normally
sells for $58.99. Roberta used a coupon
good for 20% off the regular price. To the
nearest cent, how much did Roberta pay for
the curtains before sales tax?
Answer:
89.99
Step-by-step explanation:
u add i48934yr84 r84
Roberta paid the amount of $47.19 for the curtains before the sales tax.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that equation editor A set of curtains normally sells for $58.99. Roberta used a coupon good for 20% off the regular price.
To determine the amount for the curtains before the sales tax
According to the given conditions, the solution would be as:
⇒ 58.99 × (1 - 20%)
⇒ 58.99 × (1 - 0.20)
Calculate the sum or difference and we get
⇒ 58.99 × 0.80
Apply the multiplication operation to get
⇒ 47.192
Round the number nearest to the hundredth,
⇒ 47.19
Therefore, Roberta paid the amount of $47.19 for the curtains before the sales tax.
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T.
G
1.6 cm
6 cm
6 cm
-
Find volume
Answer:
57.6......
Step-by-step explanation:
v=lxbxh...........
Please helppppp please
Answer:
its B
Step-by-step explanation:
I did this in class
C = 5/9 × (F – 32)
122°F = °C
Answer:
In Celsius the degree is 50°
Step-by-step explanation:
Put the 122° into the equation given.
here does the line y = 2x + 7 cross the y-axis?
at x = 7
at y = 2
at x = 2
at y = 7
Answer:
at y = 7
Step-by-step explanation:
When the line cross at the y-axis, x = 0
y = 2*0 + 7
y = 0 +7
y = 7
What is the solution to the following equation?
5x+7X = 60
A. X = 12
B. X = 15
C. = 5
D. X-2
Answer:
c 5
Step-by-step explanation:
plssssss help meh with this
Answer:
f(-9) = -263
Step-by-step explanation:
f(-9) = -3(-9)^2 - 20
= -3(81) - 20
= -243 - 20
= -263
A table of values for a linear function is shown below. What is the slope of the line represented by the values in the table?
what is the slope-intercept form of the liner equation 2x + 3y = 6?
x, y, -6, -3, -1,
[tex]\ - \frac{3}{2} [/tex]
[tex]\ - \frac{2}{3} [/tex]
2, 3, 6, +, -, =,
Answer: [tex]y = -\frac{2}{3}x+2[/tex]
Check out the diagram below.
======================================================
Work Shown:
[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]
The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.
The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.
5x + y over A equals 2, solve for x
Answer:
2+y over 5
Step-by-step explanation:
5x + y =2
5x=2+y
x=2+y over t
Jenna had $180.47 in her checking account. She bought groceries for $75.11 and gas for $29.64. How far below $100 is her checking account now?
$80.47
$4.74
$24.28
$75.72
Answer:
75.72
Step-by-step explanation:
HELP ASAP PLS 10 POINTS
Answer:
try a or b hope this helps
Answer:
top right
Step-by-step explanation:
Find the missing variable in the diagram below.
60 + (3x - 13) = (5x + 1)
60 + 3x - 13 = 5x + 1
3x - 5x = 1 - 60 + 13
-2x = -46
-2x / -2 = -46 / -2
x = 23
Answer: x = 23
5) A positive plus a negative will (always, sometimes, never) be negative.
Give an example that proves your answer:
Hello logan693616!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
A positive plus a negative will (always, sometimes, never) be negative.
Give an example that proves your answer:
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
A positive plus a negative will sometimes be negative.
Suppose, we take a positive number whose value is greater than that of the negative number. While adding them, we'll take the sign of the greater number, which in this case is positive, so our answer will be a positive number. For example, +4 + (-3) = +1.Now, if we take a negative number which is greater than the positive number, the sum of the two numbers will be negative. For example, (-4) + 3 = -1.So, the answer can actually depend based on the value of the numbers used.Hence, our answer is ⇨ A positive plus a negative will sometimes be negative.__________________
Hope it'll help you!
ℓu¢αzz ッ
i need to find the slope and the value of A B
Answer:
the slope is 2 and a=8 b=6
Step-by-step explanation: