Answer:
Y = 1/4x-1
X = 4y-1
Step-by-step explanation:
layout the equations :
x+1/y = 4 y+1/x = 1/4
solve the equations, remember to switch sides switch signs solving the equations will give us the value of the letter
x+1/y = 4
x+1 = 4y
x=4y-1
***
y+1/x = 1/4
y+1 = 1/4x
y = 1/4x-1
Let first consider the equations one by one and will be solving one by one ;
[tex]{:\implies \quad \sf x+\dfrac{1}{y}=4}[/tex]
Multiplying both sides by y will lead ;
[tex]{:\implies \quad \sf xy+1=4y}[/tex]
[tex]{:\implies \quad \boxed{\sf xy=4y-1\quad \cdots \cdots(i)}}[/tex]
Now, consider the second equation which is ;
[tex]{:\implies \quad \sf y+\dfrac{1}{x}=\dfrac14}[/tex]
Multiplying both sides by x will yield
[tex]{:\implies \quad \sf xy+1=\dfrac{x}{4}}[/tex]
[tex]{:\implies \quad \sf xy=\dfrac{x}{4}-1}[/tex]
[tex]{:\implies \quad \boxed{\sf xy=\dfrac{x-4}{4}\quad \cdots \cdots(ii)}}[/tex]
As LHS of both equations (i) and (ii) are same, so equating both will yield;
[tex]{:\implies \quad \sf 4y-1=\dfrac{x-4}{4}}[/tex]
Multiplying both sides by 4 will yield
[tex]{:\implies \quad \sf 16y-4=x-4}[/tex]
[tex]{:\implies \quad \sf 16y=x}[/tex]
Dividing both sides by y will yield :
[tex]{:\implies \quad \boxed{\bf{\dfrac{x}{y}=16}}}[/tex]
Hence, the required answer is 16
Elliot runs on a school track so he can measure his running distance each day. The table below shows the number of miles he ran each day this week.
What is the total distance Elliot ran from Sunday through Friday? Show your work.
Elliot’s goal is to run a total of 20 miles per week. What is the minimum number of miles he should run on Saturday to meet his goal? Show work or write an explanation to support your answer.
Answer:
three and three fourths
Step-by-step explanation:
add all the numbers and subtract from 20
Matthew has 9 feet of board. He wants to cut it into 12 equal pieces. Find the length of each piece.
Answer:
0.75 ft or 9 in.
Step-by-step explanation:
9 ft / 12 = 0.75 ft
0.75 ft × 12 in. / ft = 9 in.
Answer: 0.75 ft or 9 in.
9 feet
to find:when divided equally, the length of each piece.
solution:9/12
when simplified= 3/4
in decimal form= 0.75ft
so, the length of each piece is 0.75ft.
Name one reason thats makes a number Irrational?
Answer:
Step-by-step explanation:
A number is irrational if:
-it cannot be written as a ratio of two integers
-the decimal part goes on forever without repeating
-is a real number that is not rational
The high score for a video game is 36,480. Your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Select an inequality that represents the number d of dragonflies you must catch to earn a new high score. Then solve the inequality.
Which one is right?
Answer: Correct me if I am wrong, but since you chose the middle answer I will be awnsering that one
you will need to catch 1,000 more dragonfly so it will look like this
34,280 + 1000d + 1000 > 36,480
Sketch a graph of the function g(x)=(x-3)²-4. What is the range of g(x)?
Answer:Find where the expression
is undefined.
List all of the vertical asymptotes:
This is what your graph would look like:
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
PLS HELP I WILL CHOOSE BRAINLIEST
negative number on a number line 2
Answer:
point d is correct answer
Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is incorrect/correct . Her uncle’s actual age is 24/35/47/51
Please help! Btw the / means or
Answer:
1) 24 of age
Step-by-step explanation:
Sophia's uncle Reynald is 24 years old
12+(5×3)-4
12+15=27-4=23
But the only closest option to the sum is 24.
The sum to this word problem is 24.
Answer:
Sophia's expression is incorrect because of the rule of equation telling you to multiply first and then subtract. the correct expression is (12+5)3-4 which would equal to 47
Step-by-step explanation:
Given the function f(x)=5x+4, find f(x-2)
Answer:
5x - 6
Step-by-step explanation:
f(x) = 5x + 4
f(x-2) = 5(x -2) + 4
f(x-2) = 5x - 10 + 4
f(x-2) = 5x - 6
I hope this helps!
Answer:
5x - 6
Step-by-step explanation:
Plug in x-2 to the function:
f(x - 2) = 5(x - 2) + 4
= 5x - 10 + 4
= 5x - 6
What value of x makes the equation 4x + 5 = 11 true?
Answer:
D
Step-by-step explanation:
If we plug in D, we get 4(3/2) + 5 = 11.
4(3/2) + 5 = 11
12/2 + 5 = 11
6 + 5 = 11
11 = 11
Therefore,the answer is D.
Given a right triangle with a leg of 8 and a hypotenuse of 17, what is the length of the other leg?
Answer:
a
Step-by-step explanation
bc the legs have 2 b shorter than the hypotenuse
For what value of k will the following linear system have infinitely many solutions?
2a+b=-6, 6a+kb=-18
Answer:
K = 3
Explanation given below in the image,
I hope my answer helps you.
Is anyone able to figure this out, I can't do this
Answer:
C. √2 - 1
Step-by-step explanation:
If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)
Let r = the radius of the small circle
Using Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
to find the diagonal of the square:
[tex]\implies r^2 + r^2 = c^2[/tex]
[tex]\implies 2r^2 = c^2[/tex]
[tex]\implies c=\sqrt{2r^2}[/tex]
So the diagonal of the square = [tex]\sqrt{2r^2}[/tex]
We are told that the radius of the large circle is 1:
⇒ Diagonal of square + r = 1
[tex]\implies \sqrt{2r^2}+r=1[/tex]
[tex]\implies \sqrt{2r^2}=1-r[/tex]
[tex]\implies 2r^2=(1-r)^2[/tex]
[tex]\implies 2r^2=1-2r+r^2[/tex]
[tex]\implies r^2+2r-1=0[/tex]
Using the quadratic formula to calculate r:
[tex]\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}[/tex]
[tex]\implies r=\dfrac{-2\pm\sqrt{8}}{2}[/tex]
[tex]\implies r=-1\pm\sqrt{2}[/tex]
As distance is positive, [tex]r=-1+\sqrt{2}=\sqrt{2}-1[/tex] only
A basket contains the following pieces of fruit: 3 apples, 4 oranges, 4 bananas, 2 pears, and 3 peaches. Jonas picks a fruit at random and does not replace it. Then Beth picks a fruit at random. What is the probability that Jonas gets an orange and Beth gets a peach?
Answer:
Probability that Jonas gets an orange is 1/4 and Beth gets a peach is 3/16.
Step-by-step explanation:
Here,
The total number of fruits n(S) = 3 + 4 + 4 + 2 + 3
= 16
The total number of oranges n(O) = 4
The total number of peas n(P) = 3
Now,
P(O) = n(O)/n(S)
= 4/16
= 1/4
Again,
P(P)= n(P)/n(S)
= 3/16
I can't figure this out
For finding the surface area of the entire cylinder, we need to use the proper formula which is [tex]SA = 2 \pi r h + 2 \pi r^2[/tex]. Since the problem already gives us the radius and height, we can easily plug in the numbers. The equation should now look like this: [tex]SA = 2 * 3.14*3*6 +2*3.14*3^2[/tex].
After multiplying and adding all the numbers in the formula, we get a surface area of 169.56 yards squared.
For the lateral surface area, we can just subtract the [tex]2 \pi r^2[/tex] part from the formula.
[tex]SA = 2 * 3.14* 3 *6[/tex], which is 113.04 yards squared for the lateral surface area.
pls help me this is so frustrating
Answer:
x = 60°
Step-by-step explanation:
m∠EGD = m∠BGF = x°
The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.
A straight line has total 180° interior angle.solve:
m∠EGD + m∠DGC + m∠EGA = 180°x + 90° + 30° = 180°x + 120° = 180°x = 180° - 120°x = 60°First, rewrite 23/25 and9/10 so that they have a common denominator.
Then, use <, =, or > to order 23/25 and 9/10.
Answer:
The lowest common multiple of 10 and 25 is 50, so set that as the denominator.
9/10=45/50 (multiply by 5)
23/25=46/50 (multiply by 2)
46/50 > 45/50 therefore
23/25 > 9/10.
Hope this helps :)
Step-by-step explanation:
The red figure is similar to the blue figure. Describe a sequence of transformations
in which the blue figure is the image of the red figure.
(just one sequence needed)
*WILL GIVE BRAINLIEST TO THE CORRECT ANSWER*
Answer:
3/8 is blue because since 5/8 is red there is only 3/8 left of the figure so it has to be 3/8 blue
Step-by-step explanation: TYYYYYYY
answer all 3 for brainliest
plsplsplsplspslpslpslpslpslpslpspslsplsplsplsplsp helphelphelphelp mememememem
What is the slope of the table.
Answer:
slope is -5
Step-by-step explanation:
The formula for slope is:
m = (y2 - y1)/(x2 - x1)
m = slope
y2 = y-coordinate of second point
y1 = y-coordinate of first point
x2 = x-coordinate of second point
x1 = x-coordinate of first point
We can choose our first and second points as any points on the table, but we will choose the first andd second points which are (-5,10) and (-3,0).
y2 = 0
y1 = 10
x2 = -3
x1 = -5
m = (0-10)/(-3-(-5))
m = (-10)/(-3+5)
m = (-10)/(2)
m = -5
Two expressions are shown below
P: 2(3x-9)
Q: 6x-9
Part A
Apply the distributive property to write an expression that is equivalent to expression P.
Answer:
2(3x-9)=6x-9 Distribute
6x-18=6x-9 combine like terms
- 6x -6x cross 6x
+18 +18 add 18+-9
-----------------------
x=9
(2016 Q9 ) Which two expressions are equivalent?
Answer:
C
Step-by-step explanation:
C has the only two equivalent expressions.
Answer C
PS. If wrong let me know. If not, five stars, thanks and Brainliest would be great. Glad I could help
A bakery's specialty flour is a mixture of almond and coconut flour. The ratio of almond flour to coconut flour is 7:38 by volume. If a backery uses 180 cups of the flour mixture in a day, what is the volume, in cups, of the almond flour used?
According to the question,
The ratio of almond flour to coconut flour is 7:38
so,
the volume of the almond flour used in a day ,in terms of cups would be
[tex] \rightarrow \frac{180 \times 7 }{7 + 38} \\ [/tex]
[tex] \rightarrow \frac{1,260 }{45} \\ [/tex]
[tex] \rightarrow28[/tex]
hence ,28 cups of almond flour would be required to meet the need to prepare the mixture for a day.
______________________________________
volume of coconut flour required in a day ,in terms of no. of cups would be
[tex] \rightarrow \frac{180 \times 38 }{7 + 38} \\ [/tex]
[tex] \rightarrow \frac{6,840 }{45} \\ [/tex]
[tex] \rightarrow152[/tex]
hence ,152 cups of coconut flour are required to make the mixture.
_______________________________________
verification↷Given that,
The ratio of almond flour to coconut flour is 7:38
7:38 = 28:152
7:38 = 7 :38
LHS = RHS
hence , verified ✓
Let almond be 7x and coconut be 38x
ATQ
7x+38x=18045x=180x=4cupsTotal almond cupls=4(7)=28cups
What is 1/-7 as a whole number? Fast! please!
Answer:
I think this is correct.
Step-by-step explanation:
1/-7 = -0.14285714285714
If you round it to the nearest hundredth, it will be -0.14.
I hope you meant negative :)
write the equation for each translation of the graph of y=| 1/2x-2|+3
One unit up
one unit down
The equation for each translation of the graph of y=| 1/2x-2|+3 is
g(x)=| 1/2x-3/2|+3.
Given that,
[tex]y=| 1/2x-2|+3[/tex]
Translate the above one unit to the left
Replace y with f(x)
[tex]f(x)=| 1/2x-2|+3[/tex]
What is the meaning of translation?A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis.
When an absolute function is translated to the left, the resulting function is,
[tex]g(x)=f(x-h)[/tex]
Because it is been translated 1 unit to the left, h = -1
[tex]g(x)=f(x-(-1))[/tex]
[tex]g(x)=f(x+1)[/tex]
Now we calculate f(x+1)
[tex]f(x+1)=| 1/2(x+1)-2|+3[/tex]
[tex]f(x+1)=| 1/2x+1/2-2|+3\\f(x+1)=| 1/2x+1-4/2|+3\\[/tex]
[tex]f(x+1)=| 1/2x+(-3)/2|+3\\\\f(x+1)=| 1/2x-3/2|+3[/tex]
We have,g(x)=f(x+1)
[tex]g(x)=| 1/2x-3/2|+3[/tex]
To learn more about the translation visit:
https://brainly.com/question/1046778
5pts and the person who has the correct answer gets brainliest
Answer:
4
Step-by-step explanation:
The one that weighs the less is 80
Pls give brainlest.
Answer:
EAsy 4
Step-by-step explanation:
Answer if u know please ASAP if correct and speedy I’ll give brainliest
Answer: tbh its not a
Step-by-step explanation: i just know
Answer:
Answer is C. 2, -4,
Step-by-step explanation:
Please help i have been struggling with this
Answer:
When put into a decimal, the answer is 0.09 recurring.
Step-by-step explanation:
Divide the numerator by the denominator to convert a fraction to a decimal. The entire number stays to the left of the decimal when there is a mixed number.
To rent a car, company A charges $55 per day and 33 cents per mile. Company B charges no daily fee, but 55 cents per mile. How many miles must you drive for Company B to cost the same as company A?
please show your work
and give the answer
Answer:
about 101 miles to equal the same amount as place A. (if this is daily")
Step-by-step explanation:
so how I went about this is first I added 55+0.33 because thats how much you need to drive one mile for one day with place A. and that equaled 50.30 so then I divided 50.30 by 0.55 because thats all it costs per mile for place B so I got 100.545454545 so i just rounded it up to 101
i hope im right plmn;)
Answer:
no they are not the same tax or rate because 33 cents off is company B
Step-by-step explanation:
88 cents for company A and 55 cents for company B
and company A charged a fee of 33 cents but company B did not
