Answer:
[tex]y = \frac{12}{x} [/tex]
y= 4
Step-by-step explanation:
Since x and y are inversely proportional to each other,
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k.
When y= 6, x= 2,
[tex]6 = \frac{k}{2} [/tex]
k= 6(2)
k= 12 (×2 on both sides)
Substitute the value of k back into the equation:
[tex]y = \frac{12}{x} [/tex]
When x=3,
[tex]y = \frac{12}{3} [/tex]
y= 4
WILL GIVE 40 BRAINLY
(08.03)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
[tex](3,2)[/tex]
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
[tex]y=-2x+8\\y=x-1[/tex]
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
[tex]x-1 = -2x + 8[/tex]
Now solve using inverse operations,
[tex]x -1 = -2x + 8\\+2x\\\\3x - 1 = 8\\+1\\\\3x =9\\/3\\\\x = 3[/tex]
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
[tex]y=x - 1\\[/tex]
Substitute,
[tex]y=(3)-1[/tex]
Solve,
[tex]y=2[/tex]
Thus, the answer to this system of equations is the following, [tex](3,2)[/tex].
Answer:
(x = 3 and y = 2)
Step-by-step explanation:
Ok, we have our 2 equations...
y = -2x + 8
y = x - 1
Lets solve them
y = -2x + 8 , y = x - 1
They both equal y so I can put them together to equal out. Now our equation is...
x - 1 = -2x + 8
The next step is to get x on one side by itself, so change the negative symbol on -2 to addition...
3x - 1 = 8
Next step is to add 1 on both sides...
3x = 9
Divide both sides by 3...
x = 3
Now to do the other equation, which is easier.
y = x (3) - 1
or
y = 2
Both are solved and we have ...
(x = 3 and y = 2)
Help plsssss no links plss
First step to solve this equation x-5=7-2x
Answer:
The answer is Add 2x to both sides of the equation
Step-by-step explanation:
I need help please!!
what is the answer to this (235-(-30) /5-100
Answer:
265/ -95 = -2.789
Step-by-step explanation:
235 - - 30 /5 - 100
two negatives equal a positive +
265/5 - 100
265/-95
-2.789
What are the coordinates of point A?
A: (- 2, -6)
B: (- 6, -2)
C: (- 6, -3)
D: (- 3, -6)
Answer correctly for 50 points.
Answer falsely , then get ready for instant consequences.
The x value is first and the y value is second.point A is at (-3,-6)
At many college bookstores, students can decide whether to purchase or to rent a textbook for a class. A study was conducted to investigate whether the percent of rented textbooks for all science classes in the state was greater than the percent of rented textbooks for all literature classes in the state. The following hypothesis test was done at the significance level of α=0.05α=0.05.
H0:pS=pLHa:pS>pLH0:pS=pLHa:pS>pL
In the hypotheses, pSpS represents the proportion of all science textbooks that are rented, and pLpL represents the proportion of all literature textbooks that are rented.
All conditions for inference were met, and the resulting pp-value was 0.035. Which of the following is the correct decision for the test?
The pp-value is less than αα. Since 0.035<0.050.035<0.05, the null hypothesis is rejected, and the claim is supported. There is convincing statistical evidence that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
A The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
B The pp-value is less than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
C The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
D The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Answer:
A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Step-by-step explanation:
Given :
Percentage rented science textbooks = pS
Percentage rented Literature textbooks = pL
To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :
H0: pS = pL
Ha: pS > pL
Pvalue = 0.035 ; α = 0.05
Decision Region :
If Pvalue < α ; We reject H0
In the scenario above,
Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;
We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
which figure can be produced by a rotation and reflection of figure A ?
Answer:
It can produce the shape triangle
This is a cross section of the design of a bookshelf.
Which is the closest to the length,in inches,of the brace indicated by BC in the sketch?
Answer:
25 in
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\15^{2} +20^{2} =c^{2} \\225+400=c^{2} \\c^{2} =625\\c=\sqrt{625} \\c=25[/tex]
Please help me fast i need help but please no links
Answer:
dont click that other guys link its an ip grabber
Step-by-step explanation:
rose can make 5 3/4 bookmarks in one hour . How many bookmarks can she make in 3 1/2 hours
Answer:
I haven't done that type of math in a while but I cam up with 21 bookmarks
If f(x) = 3x+ 5 and g(x) = – 2x2 – 5x + 3, find (f + g)(x).
Answer: 1/8
Step-by-step explanation:(f÷g)(x) =
f(x) / g(x) =
2x / 22x
When we divide expressions with like bases, we subtract the exponents.
2(x - 2x) =
2-x
Now we substitute x = 3
So (f÷g)(3)
2-3
When we have a negative exponent, we perform the reciprocal of the expression and remove the negative sign from the exponent.
1/(23) =
1/8
what is 3x +3? x=5 i need ot know
If x=5 then the answer would be 18. 3 times 5 is 15 +3=18
Answer:
3x + 3
if the letter "x " is 5 then we replace the x in the equation
3( 5 ) + 3
15 + 3 = 18
Step-by-step explanation:
i hope it helps you =)
find the product -2X²×4X²y²
Answer:
-8X^4y^2
Step-by-step explanation:
-2X² × 4X²y² = -8X^4y^2
edit to add:
first: multiply the coefficients together:
-2 x 4 = -8
second: add the exponents of X together (when you multiply exponents, you just add them together):
² & ² = ^4
and you have the answer:
-8X^4y^2
Step-by-step explanation:
-2X²×4X²-y²
= -4X × 16X - y
= 64X -y
In a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk. What proportion of the cocktail is coconut milk?
One angle of a right triangle measures 51°. What is the measure of the other acute angle, in degrees?
Answer:
39 degree
Step-by-step explanation:
180-90-51=39
Pls help extra points
Answer:
3,6,9,27 and 2,4,6,18
Step-by-step explanation:
It simple
please help! I really don't understand!
A fast-pitch softball diamond is a 60 foot square with a base at each corner.
If the catcher throws directly from home plate to second, how many feet will
the ball travel? (Round to the nearest foot.)
60 ft.
60 t
Answer here
Answer:
The correct answers is 85.
Step-by-step explanation:
a^2+b^2=c^2
60^2+60^2=\sqrt(7200)=84.85 but in here we are rounding to the nearest foot , which will be 85.
Jason has a part-time job. The table below shows the number of hours he worked and how much money he earned on three different days.
Answer:
Pretty sure it's 9.75
Step-by-step explanation:
39.00 divided by 4 = 9.75
Find the value of x in the triangle shown below 4 3
Answer: 5
Step-by-step explanation: I took the test
Which of the following statements is true?
Answer:
Provide the statements please
Step-by-step explanation:
The graph of quadratic function f is shown on the grid. 5 -3 -12 5 u 6 Which of these best represents the domain of f? А -5.5 < x < 1.5 B All real numbers less than or equal to 3 C All real numbers D y <3
Answer:
C: All real numbers.
Step-by-step explanation:
Domain means the interval of x=values that the function resides in. Since this quadratic function can go to both positive and negative infinity, there are no limits to the x-values so therefore the domain is all real numbers.
dylan has 128 prices of candy from Halloween . he eats half of his candy each week.
identify the function family .
creat a equation to model the scenario .
use equation to determine how much candy he will have after 9 weeks ?
Answer:
55.5 left over.
Step-by-step explanation:
128/2 = 64
half each week so;
1 whole = two weeks
8 weeks = 8
+ 1 = 8 1/2
so, 64/8.5
is going to be 55.5 left.
HELP PLS, The cosine of
Answer:
add/hyp
Step-by-step explanation:
using SOHCAHTOA cosine of an angle A will be adjacent/ hypotenus
Need Help plzzzzzzxxxz
Answer:
[tex]VW = 50[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find VW
To find VW, we make use of the following equivalent ratios.
[tex]YX : XW = ZX : XV[/tex]
Where:
[tex]YX = ZX - ZY = 42 - 28 = 14[/tex]
[tex]XV = XW + VW = 25 + VW[/tex]
So, we have:
[tex]14 : 25 = 42 : 25 + VW[/tex]
Express as fraction
[tex]\frac{14 }{ 25 }= \frac{42 }{ 25 + VW}[/tex]
Divide both sides by 14
[tex]\frac{1}{ 25 }= \frac{3}{ 25 + VW}[/tex]
Cross multiply
[tex](25 + VW) * 1 = 3 * 25[/tex]
[tex]25 + VW = 75[/tex]
Solve for VW
[tex]VW = 75 -25[/tex]
[tex]VW = 50[/tex]
Find dcq pls thanks so much
Answer:
arc ABC = 196°
∠DCQ = 47°
Step-by-step explanation:
arc AD = 70°
∠D = 1/2 arc ABC = 98°
arc ABC = 98° * 2 = 196°
arc CD = 360° - arc AD - arc ABC = 360°-70°-196° = 94°
tangent chord angle DCQ = 1/2 arc CD = 1/2 * 94° = 47°
True or False
If you know at least one
angle on the diagram
below you can find the
other three.
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $3. There is 1 winning ticket out of the 140 tickets sold. The winner gets a prize worth $84. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket?
Calculate the expected value (to you) if you purchase 8 raffle tickets?
What is the expected value (to the PTO) of one raffle ticket?
If the PTO sells all 140 raffle tickets, how much money can they expect to raise for the classroom supplies?
Answer:
A) 0.54
B) 4.32
C) 2.4
D) 336
Step-by-step explanation:
A)Expected value (you) = (84 × 3) × [tex]\frac{1}{140}[/tex] × (0.3)× [tex]\frac{139}{140}[/tex]
= 0.54
B) Expected value (you) 8 tickets = 0.54 × 8
= 4.32
C) Expected value ( for PTO) = ( 3 - 84) × [tex]\frac{1}{140}[/tex] + ( 3 - 0 ) × [tex]\frac{139}{140}[/tex]
= 2.4
D) For 140 raffle tickets = 2.4 × 140
= 336
what is the place name of 2 in 25
Answer:
no idea
Step-by-step explanation:
bro
Answer:
20
Step-by-step explanation:
Hope this helps