Answer:
29: 7
Step-by-step explanation:
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]
Cross multiply:
[tex]8(x + 3y) = 5(3x - y)[/tex]
Expand bracket:
[tex]8x + 24y = 15x - 5y[/tex]
Bring x terms to 1 side, y terms to the other:
[tex]15x - 8x = 24y + 5y[/tex]
Simplify:
[tex]7x = 29y[/tex]
Divide by 7 on both sides:
[tex]x = \frac{29}{7} y[/tex]
Divide both sides by y:
[tex] \frac{x}{y} = \frac{29}{7} [/tex]
∴ The ratio of x to y is 29:7.
A circle is centered on point B. Points A, C and D lie on its circumference.
If ZABC measures 46°, what does ZADC measure?
Step-by-step explanation:
given: B is the centered poin of the circle
points A,C,D lies on its circumference
measure angle ABC is 46⁰
<ADC is inscribed in the circle
<ABC is the central angle
to find: what is the measure of angle ADC?
solution:
inscribed angle therom states that an inscribe angle is half of a central angle that subtends the same arc
hence, <ADC = 1/2 × <ABC
<ADC= 1/2 × 46⁰
<ADC=1/2 ×46⁰
<ADC= 23⁰
HOPE IT HELPED!!
7th grade math help me pleaseee
Answer:
14x + 6
step by step explanation:
How do you find the diameter
Answer:
2x radius I believe
Tell me if im wrong and I will remove this
Find the slope of the line passing through the points (-7, 8) and (5, -7).
Answer:
m = -5/4
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)
(-7 - 8)/ (5 - -7)
-15/12
-5/4
If (-3)^-5=1/x, what is the value of x?
options are in the photo
Answer:
X= -243
Used Math.way
Please tell me how to figure it out thanks
The radius of a cylindrical water tank is 6.5 ft, and its height is 12 ft. What is the volume of the tank?
Answer:
.............. just for filling 20 characters
the fastest 3 runners in a race qualify for the next event. how many different groups of Runners could advance to the next event from a race that has seven runners
Answer:
35 different groups of 3 runners can be selected
Step-by-step explanation:
Here, we want to simply calculate the number of 3 runners that can advance in a race from a total of 7
What we want to do here is to simply get different groups of 3
So, we have it that we simply want to know the number of different ways we can select 3 from a total of 7
We can simply use combination for this;
We have the general combinatorial as;
nCr = n!/(n-r)!r!
With respect to this particular question, n = 7 and r = 3
So we have;
7C3 = 7!(7-3)!3! = 7!/(4)!3! = 35
PLEASE HELP
Answer:
(a+b)^2+(a-b)^2=2(a^2+b^2)
expanding:
a² + 2ab + b² + a² -2ab + b² = 2a² + 2b²
2a² + 2b² = 2a² + 2b²
Answer:
with what?
Step-by-step explanation:
Nakeisha bought a pair of shorts online for $74. She used a coupon code to get a 10% discount.
The website also applied a 5% processing fee to the price after the discount.
How much did Nakeisha pay, in the end? Round to the nearest cent.
Answer:
the answer is 69.93
hope this helps!
Find area triangle of 15 ft and 18 ft
The area of the triangle is. Ft2
Answer:
a= 135
Step-by-step explanation:
18*15=135
The table represents a proportional relationship. Give the constant of proportionality, and write an equation that represents the relationship.
(NO FILES OR LINKS, I DO NOT EXCEPT THEM AND I WILL REPORT)
Answer:
The constant is: 3.14
Multiplying 2 by 3.14 which would get you to 6.28
Multiply each one by 3.14
HELP PLEASE DUE SOON!!!
Answer:
37+23
Step-by-step explanation:
I searched it up. someone else asked the exact same question. I hope it's correct though.
Answer:
The larger number is 37 and the smaller number is 14.
Step-by-step explanation:
Let's solve this problem in terms of x and y:
x+y=60
x-y=14
x will be the larger number while y will be the smaller number.
When we add both those equations together, we get 2x=74 since y-y=0. Now we do 74÷2 which equals 37 so x=37. Finally we know that x=37 so our y must be the remaining part since x+y=60. We simply subtract 37 from 60 and get our smaller number, 23.
I hope this helps :)
i need help please! will mark brainliest
Answer:
g= - 3x/x-2
Step-by-step explanation:
420 student 25 times 3 times the number of girls 2 times the number of boys how many girls amd how many boys
Complete Question
We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys
Answer:
The number of boys = x = 315 boys
The number of girls = y = 105 girls
Step-by-step explanation:
Let
The number of boys = x
The number of girls = y
We have 420 students
2 times 3 times the number of girls is equal to 2 times the number of boys
x + y = 420..... Equation 1
2 × 3y = 2x
6y => 2x
x => 6y/2 = 3y
We substitute 3y for x in Equation 1
3y + y = 420
4y = 420
y =>420/4
y => 105
Solving for x
x = 3y
x = 3 × 105
x = 315
Therefore,
The number of boys = x = 315 boys
The number of girls = y = 105 girls
A gaming system is regularly priced at $165. It is on sale
this week for $132. What is the percent decrease in the
price of the gaming system?
PLSSS HELPPP
Answer:
The gaming system was on sale for 20% off
Step-by-step explanation:
165 - 132 = 33
Now, we need to find what percent 33 is of 165.
(33/165) x 100 = 20%
 What is the mathematical term for "the same"?
Answer:
Equivalent / Equal
Step-by-step explanation:
Classify the triangle as acute, right, or obtuse.
48°
72°
60°
A acute
Bright
C obtuse
Shifts in demand worksheet At every grocery store in the area, the price of hot dogs has been at an all-time high.
Answer:
The answer is "Hot dog buns".
Step-by-step explanation:
In the given scenario, it increased the hot dog prices result in a reduction in hot dog bun production. Complementary products are hot dogs including hot dog buns. Therefore the curve of demand is moving to the left. Please find the image file in attached.
What is the greatest value in the range of f(s) = x2 – 3for the domain (-3,0, 1, 2)?
Answer:
6
Step-by-step explanation:
f(s) = x^2 - 3
f(-3) = 6
f(0) = -3
f(1) = -2
f(2) = 1
simply 7/4 squared
Answer:
0.4375
Step-by-step explanation:
2x-y=8
x+2y=4
for the system of equation above, what is the value of x+y?
Answer:
4
Step-by-step explanation:
2x-y=8 ---> y= 8-2x
substitute y=8-2x into x+2y=4
x + 2(8 - 2x) = 4
x + 16 - 4x = 4
-3x = -12
x = -12/-3
x = 4
substitute x=y into y=8-2x
y = 8 - 2(4)
y = 8 - 8
y = 0
therefore,
x+y= 4+0
4
btw i like ur jimin pfp besty :)
Which number is equivalent to 4.7
In rugged terrain, Martin can hike 1/8 Mile in 1/2 hour. At this rate, how far can Martin hike in 1 hour?
A. 5/8 mile
B. 1/16 mile
C. 1/4 mile
D. 1/6 mile
Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What was the approximate percent increase in the number of students in Mrs. Williamson’s homeroom?
25%
33%
57%
75%
Answer:
25%
Step-by-step explanation:
An easy way to figure this out is just by dividing the initial amount of students (18) by the current amount of students (24), and then subtracting 1.
So, 18/24 = 0.75 (aka 75%), and 1 - 0.75 = 0.25 (aka 25%)
who wants to play kah*ot
game code is 5794844
Answer:
yessss
Step-by-step explanation:
Answer: mabey
Step-by-step explanation: mabey
Find the volume of a pyramid with a square base, where the area of the base is 16 m^2
and the height of the pyramid is 25.4 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
v = 135.5 cm³
Step-by-step explanation:
v = 1/3bh = 1/3(16)(25.4) = 135.5 cm³
what is the vertex of this parabola? I WILL GIVE BRAINLIEST!!!
(1, -2)
The vertex is simply the turning point.
What is the slope of the line shown below?
10
A. 6
ОО
(-0,3) 6
B.
10
16
c
D. 6
101
Which of the following numbers is a perfect square
484
485
489
490
Answer:
484
Step-by-step explanation:
484=22^2