Final Answer: [tex]x = \frac{5y}{3}[/tex], [tex]y = 15[/tex]
Steps/Reasons/Explanation:
Question: [tex]\frac{x}{5} = \frac{y}{3}[/tex] and [tex]\frac{12}{y} = \frac{4}{5}[/tex]. What does [tex]x[/tex] equal and what does [tex]y[/tex] equal and how?
Solving for [tex]x[/tex] in the equation [tex]\frac{x}{5} = \frac{y}{3}[/tex].
Step 1: Multiply both sides by [tex]5[/tex].
[tex]x = \frac{y}{3} * 5[/tex]
Step 2: Simplify [tex]\frac{y}{3} * 5[/tex] to [tex]\frac{y * 5}{3}[/tex].
[tex]x = \frac{y * 5}{3}[/tex]
Step 3: Regroup terms.
[tex]x = \frac{5y}{3}[/tex]
Solving for [tex]y[/tex] in the equation [tex]\frac{12}{y} = \frac{4}{5}[/tex].
Step 1: Multiply both sides by [tex]y[/tex].
[tex]12 = \frac{4}{5}y[/tex]
Step 2: Simplify [tex]\frac{4}{5}y[/tex] to [tex]\frac{4y}{5}[/tex].
[tex]12 = \frac{4y}{5}[/tex]
Step 3: Multiply both sides by [tex]5[/tex].
[tex]12 * 5 = 4y[/tex]
Step 4: Simplify [tex]12 * 5[/tex] to [tex]60[/tex].
[tex]60 = 4y[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]\frac{60}{4} = y[/tex]
Step 6: Simplify [tex]\frac{60}{4}[/tex] to [tex]15[/tex].
[tex]15 = y[/tex]
Step 7: Switch sides.
[tex]y = 15[/tex]
~I hope I helped you :)~
please help me on this! will give you brainliest, thank you.
Answer:
a=music
b=3
c=mary and dan
Step-by-step explanation:
a) music
b) 3 students
c) Mary and Dan
The areas of two rectangles can be represented by the functions shown. Which function represents the difference in the areas, h(x) = f(x) – g(x)? h(x) = 4x2 – 4x – 11 h(x) = 4x2 – 4x + 11 h(x) = –4x2 + 4x + 11 h(x) = 4x2 – 4x – 9
Answer:
x ^2 + 5xStep-by-step explanation:
Let the area of the two triangles be expressed as;
f(x)= 4x^2+6x
g(x)=3x^2-x
Taking the difference
h(x) = f(x) - g(x)
h(x) = 4x ^2+6x - 3x^2-x
Collect like terms'
h(x) = 4x ^2 - 3x^2+6x-x
h(x) = x ^2 + 5x
Hence the difference is x^2 + 5x
Note that the functions were assumed. The same methos can be applied to any other given functions.
Answer:
B: h(x) = 4x2 – 4x + 11
Step-by-step explanation:
I just did the assignmement on EDGEN and it's 200% correct!!
Also, heart and rate if you found this answer helpful. (P.S it makes me feel good to know that I helped someone today!!)
hey it is pretty late i hope u get your work done and get good sleep and have some points
Answer:
Thanks for the points. ❤❤Gabby spent 44.10 for 14 gallons of gas. What was the unit cost, or price per gallon
H(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}h(n)=−91⋅(− 7 1 ) n−1 h, left parenthesis, n, right parenthesis, equals, minus, 91, dot, left parenthesis, minus, start fraction, 1, divided by, 7, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript Complete the recursive formula of h(n)h(n)h, left parenthesis, n, right parenthesis.
Given:
[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]
To find:
The recursive formula.
Solution:
We have,
[tex]h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}[/tex]
It is in the form of explicate formula of a GP, .i.e., [tex]a_n=ar^{n-1}[/tex].
Here, [tex]a=-91[/tex] and [tex]r=-\dfrac{1}{7}[/tex].
The recursive formula of a GP is
[tex]a_n=a_{n-1}\times r[/tex]
Using this the recursive formula for given problem is
[tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex]
Therefore, the required recursive formula is [tex]h(n)=h(n-1)\times (-\dfrac{1}{7})[/tex].
Plss can someone help me out with thissss!!!!!!!!!!!
A virtual reality headset lists for $719. Find the net cost after trade discounts if the series discount is 10/30.
Answer:
479.33
Step-by-step explanation:
10/30 is the same as 1/3 or 33.34%.
Multiply the fraction to the original price then subtract.
719 * 1/3 = 239.67
719 - 239.67 = 479.33
Best of Luck!
2(x + 7) + 3 x = 12
what is the first step In solving this equation for x?
Answer:
The first step would be to distribute that 2 into the numbers in the parenthesis.
Step-by-step explanation:
Answer:
Step-by-step explanation:
I feel like there are many ways to begin this problem, but I'd distribute the 2(x+7) so that you are left with 2x+14. This way you can add 2x and 3x and subtract 14 to the other side.
On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, 4 5 of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery's profit on this batch of rolls
Answer:
$108
Step-by-step explanation:
Let number of rolls produced = [tex]x[/tex]
Total production cost = $300
Average production cost can be found by dividing the total production cost with the number of rolls produced.
Average production cost per roll = $[tex]\frac{300}{x}[/tex]
[tex]\frac{4}{5}[/tex] of the rolls were sold at a price 50% higher than the average production cost per roll.
i.e.
Money earned by selling [tex]\frac{4}{5}[/tex] of the rolls:
[tex]\dfrac{4}{5}x \times \dfrac{300}{x}\times \dfrac{150}{100}\\\Rightarrow \$360[/tex]
Money earned by selling the remaining the remaining rolls:
[tex]\dfrac{1}{5}x\times \dfrac{300}{x}\times \dfrac{80}{100}\\\Rightarrow \$48[/tex]
Total money earned by selling all the rolls = $360 + $48 = $408
Total profit can be calculated by subtracting the total production cost from the total money earned.
Total profit = $408 - $300 = $108
PLS HELP I NEED AN ANSWER ASAP
Answer:
4/sin (35)
Step-by-step explanation:
sin(35)=4/AB
which one is greater 1.72 or 1.720
Answer:
there equal.
Step-by-step explanation:
Answer:
They are equal.
Step-by-step explanation:
If there is a 0, it doesn't necessarily mean they are different numbers.
evaluate 2/3 (10-6) 1/2
Answer:
[tex] = \frac{2}{3} (10 - 6) \frac{1}{2} [/tex]
[tex] = \frac{2}{3} (4) \frac{1}{2} [/tex]
[tex] = \frac{8}{3} \times \frac{1}{2} [/tex]
[tex] = \frac{4}{3} [/tex]
Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains
Answer:
3/5
Step-by-step explanation:
We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.
Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.
Least common multiple of 3 & 5 is 15.
Thus,let's make the length of the branch to be 15-meter long.
Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:
3, 5, 6, 9, 10, 12 meters.
We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;
Distinct lengths are;
3 metres
5 - 3 = 2 metres
10 - 9 = 1 meter
Total she removes = 3 + 2 + 1 = 6 meters.
Total remaining is;
15 - 6 = 9 meters
Expressing this as a fraction of the original branch gives:
9/15
Divide both numerator and denominator by 3 to get; 3/5
SIMPLE CORDINATE PLOTTING! BRAINLIEST, 5 STAR, AND A LIKE ON UR ANSWER. SHOW SOME WORK.
Answer:
A
Step-by-step explanation:
( 2, -5 )
( -2, -5)
Hope this helps dude
Answer:
A is your answer :)
Step-by-step explanation:
1. Choose the correct common fraction.
0.13
0.3
none of these
1/3
6(2a + b) + b A. 12a + 12b B. 12a + 7b C. 8a + 8b D. 8a – 8b
Answer:
Step-by-step explanation:
6(2a + b ) +b
12a + 6b +b
12a + 7b
so answer B looks good
Answer: B) 12a+7b
Step-by-step explanation:
6(2a+b) +b
12a+6b+b
Combine like terms
12a+7b
Therefor B is correct
Solve the following equations
3x-6y=14
y=x+4
Answer:
y=2
Step-by-step explanation:
\©°©°©°¥=¥=€=€°`°€°€°%=
0 = 4(3.14)/5 ;r = 9 cm
Answer:
i don't think i know the answer to your question
Step-by-step explanation:
HELP ASAP An office employee ears $600 weekly. Find the equivalent earnings if paid biweekly, semimonthly, monthly, and annually
1200~bi-weekly
1200~semimonthly
2400~monthly
31,200~annually
Do sb know da answerrrrr ?
Answer:
If I’m not wrong I think it’s the first one
Step-by-step explanation:
What is the value of x?
Answer:
the value of x is one of those answers i can tell you son
Step-by-step explanation:
and it is NOT 3/4 thast FOR SURE
1,615 / 10 the the power of 2
In triangle ABC, m_A = 55°, m B = 30°, and a = 8. Which equation should you
solve to find b?
Answer:
B) sin55/8 = sin30/b
Step-by-step explanation:
Just did it on AP3X :)
Please Help me!! It's for testing!
Jude is going from his house to the library. He walks as a rate of 100 yards per minute and bikes as a rate of 300 yards per minute. On his way to the library, Jude walks for 12 minutes and then rides his bike the rest of the way. The library is 6000 yards from his house.
How many minutes did it take Jude to go from his house to the library?
22 Minutes
28 Minutes
30 Minutes
48 Minutes
Answer:
28 minutes
Step-by-step explanation:
100 yards times the 12 minutes he walked = 1200 yards. 6000-1200=4800
4800÷300=16
16 + 12 = 28
Answer:
28 Minutes
Step-by-step explanation:
The library is 6000 yd from the house.
He walks at a rate of 100 yd per minute for 12 minutes, which is 1200 yd of progress.
He bikes the rest of the 4800 yd on his bike at a rate of 300 yd per minute.
4800/300=16 minutes.
16+12=28 minutes.
2)
1.) 3x+3y 6
2x+2y=4
Answer:
y este egal cu 1
x este egal cu un
Step-by-step explanation:
2 plus 2 egal cu patru( adica 2 ori unu plus 2 ori 1)
La fel si la cea cu 3.
Sper că te am ajutat!!!
Therefore,
X=0
Y=2
,,,The solution is above in the picture
is it bad if you over think to much (ik its not question but i really dont no one to talk to rn so ....)
if you get the right answer, no. if you get the wrong answer yes
it all depends on what the question is and such
Answer: No not unless it affects you and your mental health
Step-by-step explanation:
Im a huge over thinker and i blame myself for a lot of things that arent even my fault. Over thinking things isnt always the best way to go you should always have someone to talk to. If your feeling worthless or down just know you are enough! You are perfect and dont try to change it for anyone. Its not bad to overthink unless it affect you so greatly that it hurts to smile. I know times are tough right now but you will get through it just stay strong. I hope this helped :)
What is the equation of the line that has a slope of Y and contains the point (0, 3)?
Answer:
B
Step-by-step explanation:
if you take your anwser and multilpy it by the factor you get B
Answer:
equation of line in y
Step-by-step explanation:
slope Y and given point (0,3)
y=3
or y-3=0
When a figure is rotated, does every point move the same distance? Explain. *
No. The angle of rotation is different for each point, and each point and its image are, therefore, different distances from the center of rotation, so the distance each point moves varies.
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
No. Although each point is rotated through the same angle, points that are different distances from the center of rotation move different distances.
Yes. When rotating a figure, the rotation indicates that each point moves the same distance, such that the angle of rotation may vary from point to point.
Answer:
Yes. Since the angle of rotation is the same, the distance that each point moves is the same.
Step-by-step explanation:
Answer Yes. Since the angle of rotation is the same, the distance that each point moves is the same i think
Step-by-step explanation:
3. 'a' and 'b' are the intercepts made
by a straight-line with the co-
ordinate axes. If 3a = b and the line
pass through the point (1, 3), find
the equation of the line.
Given:
'a' and 'b' are the intercepts made by a straight-line with the co- ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
[tex]\dfrac{x}{a}+\dfrac{y}{b}=1[/tex] ...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
[tex]\dfrac{x}{a}+\dfrac{y}{3a}=1[/tex] ...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get
[tex]\dfrac{1}{a}+\dfrac{3}{3a}=1[/tex]
[tex]\dfrac{1}{a}+\dfrac{1}{a}=1[/tex]
[tex]\dfrac{2}{a}=1[/tex]
Multiply both sides by a.
[tex]2=a[/tex]
The value of a is 2. So, x-intercept is 2.
Putting a=2 in [tex]b=3a[/tex], we get
[tex]b=3(2)[/tex]
[tex]b=6[/tex]
The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get
[tex]\dfrac{x}{2}+\dfrac{y}{6}=1[/tex]
Therefore, the equation of the required line in intercept form is [tex]\dfrac{x}{2}+\dfrac{y}{6}=1[/tex].
The angle between the generator and the central axis of a double-napped cone is 50°. Which conic section is formed
when a plane intersects the central axis at 50°?
circle
ellipse
parabola
hyperbola