Answers
Answer:
B
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle x(b-c) = y+x[/tex]
And that:
[tex]2b=3c=7[/tex]
And we want to find the value of y / x.
To start, subtract x from both sides in the first equation:
[tex]x(b-c) -x = y[/tex]
Divide both sides by x:
[tex]\displaystyle \frac{x(b-c)-x}{x}=\frac{y}{x}[/tex]
Simplify:
[tex]\displaystyle (b-c)-1 = \frac{y}{x}[/tex]
Next, in the second equation, divide everything by two:
[tex]\displaystyle b = \frac{3}{2} c = \frac{7}{2}[/tex]
Substitute:
[tex]\displaystyle \left(\frac{3}{2} c - c \right) - 1= \frac{y}{x}[/tex]
Simplify:
[tex]\displaystyle \frac{1}{2} c - 1 = \frac{y}{x}[/tex]
From the modified second equation, we can multipy both sides by 1/3:
[tex]\displaystyle \frac{1}{2} c = \frac{7}{6}[/tex]
Substitute:
[tex]\displaystyle \left(\frac{7}{6}\right) -1 = \frac{y}{x}[/tex]
Subtract:
[tex]\displaystyle \frac{y}{x} = \frac{7}{6} - \frac{6}{6} = \frac{1}{6}[/tex]
Therefore, our answer is B.
Related Questions
What is the simplest radical form of the expression? (8x^5y^3)^(2/3)
Answers
Step-by-step explanation:
(8x⁵y³)^(2/3)
= 8^(2/3)×(x^(5×2/3))×(y^(3×2/3))
= 4×x^(10/3)×y^(2)
= 4y²(³√x¹⁰)
What is the value of x in the equation 5x+3=4x?
Answers
Answer:
x = -3
Step-by-step explanation:
5x + 3 = 4x,
x + 3 = 0,
x = -3
Answer:
the answer for this would be -3
For there is always light, if only we’re brave enough to see it.
If only we’re brave enough to be it.
Answers
Answer:
sun is the answer to absolutely
a marathon runner can jog one mile in 7.5 minutes. how many miles can the runner complete in 3.5 hours
Answers
1 hour = 60 minutes
3.5 hours x 60 = 210 minutes
210 minutes / 7.5 minutes per mile = 28 miles
Answer: 28 miles
how do I simplify when there are fractions on fractions
Answers
Answer: y/y+x
Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x
using trig find the missing angle
Answers
Answer:
sh ma at me Ej as he be as h
Step-by-step explanation:
c my zzz bb
dbdgj dd d
sin(24) = x/16
x = 6.51
The distance AB rounded to the nearest tenth = [?]
Answers
Answer:
4.5 units
Step-by-step explanation:
Use the distance formula
[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{16+4}=\sqrt{20}[/tex]
The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Meaning of DistanceDistance can me defined as a measure that tells us how far apart two objects or individual are to each other.
Distance is very important as it helps us know where exactly things are located and whether they are close or far apart
In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Learn more about Distance: https://brainly.com/question/17273444
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Is the answer option c?
Answers
Answer:
yes
Step-by-step explanation:
f(x) = x^2 -1
Hope it helps!!
Need help here please and thank u
Answers
Answer:
I think C sorry if wrong
Step-by-step explanation:
calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%
Answers
Answer: $427140
Step-by-step explanation:
Firstly, we'll add MP to the profit and this will be:
= Rs 400000 + Rs 20000
= Rs 420000
Since there is a discount of 10%, this will then be:
= 420000 - (10% × 420000)
= 420000 - 42000
= $378000
With a VAT of 13%, then the final price will be:
= $378000 + (13% × $378000)
= $378000 + (0.13 × $378000)
= $378000 + $49140
= $427140
amy bill and cara each played a game . amy’s scored was ten times bill’s scored . cara’s down the ratio of amy’s scored to bill’s scored to cara’s score. give your answer in its simplest form
Answers
Answer:
10:1:5
Step-by-step explanation:
Given that,
A game was played by Amy, Bill, and Cara.
Let Amy's score be x. Then,
Bill's score would be x/10
Cara's score = x/2
Now,
The ratio of their scores;
x: x/10: x/2
= 1 : 1/10 : 1/2
To equalize the scores, multiply all of them by 10
= (1 * 10): (1/10 * 10) : (1/2 * 10)
= 10 : 1 : 5
Thus, the simplest ratio form would be 10:1:5
Answer:
Step-by-step explanation:
10:1:5
The amount oRs.4500 for 5 ye is 8550 8550. Find the interest and the rate of interest
Answers
Answer:
Step-by-step explanation:
We have;
P = 4500
A = 8550
T= 5 years
I= ?
R=?
We know,
A= P+I
or, 8550=4500+I
∴I=8550-4500= 4050
Now, I= PTR/100
Or, 4050= (4500*5*R)/100
Or, 4050=45*5*R
Or, R= 4050/225
∴R= 18%
can someone explain step by step how to get the answer?
Answers
Answer: x³+8x²+11x-20
Step-by-step explanation:
To find which polynomial has the roots of -5, -4, and 1, we want to first put them into an equation.
-5 is the same as x+5=0
-4 is the same as x+4=0
1 is the same as x-1=0
Now that we have the factors, we can multiply them together.
(x+5)(x+4)(x-1) [FOIL]
(x²+4x+5x+20)(x-1) [combine like terms]
(x²+9x+20)(x-1) [FOIL]
x³-x²+9x²-9x+20x-20 [combine like terms]
x³+8x²+11x-20
Therefore, x³+8x²+11x-20 is the correct polynomial with those roots.
Solve for b.
7
b
12
b= ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter
Answers
Answer: [tex]b=\sqrt{95}[/tex]
Step-by-step explanation:
To solve for b, we want to use the Pythagorean Theorem as given.
b and 7 are the legs, and 12 is the hypotenuse.
[tex]7^2+b^2=12^2[/tex] [exponent]
[tex]49+b^2=144[/tex] [subtract both sides by 49]
[tex]b^2=95[/tex] [square root both sides]
[tex]b=\sqrt{95}[/tex]
Now we know [tex]b=\sqrt{95}[/tex].
Sin(2x+30°)=1
Tìm x
Cảm ơn vì giúp đỡ
Answers
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?
Answers
Answer: -1
Step-by-step explanation:
Look at the patter it has
Please hurry due tomorrow morning!!!
Jazzie and Jocelyn are racing on a track.Jazzie runs 4 miles per hour and gets a 0.25 mile head start. Jocelyn runs 0.5 miles per hour faster than Jazzie. If Jocelyn and Jazzie run the same distance, how many hours, x, do they run?
F. 4x + 0.25 = 0.5x
G.4x + 0.25 = 4.5x
H.4x + 0.25 =3.5 x
J. 4x - 0.25 = 3.5 x
Answers
Answer:
G: 4x + 0.25 = 4.5x
Step-by-step explanation:
1. since Jazzie runs 4 mph add .5 to that to get Jocelyn's speed of 4.5 mph
2. Since Jazzie has a head start add .25 to 4x to get 4x + 0.25 = ?
3. put Jocelyn's speed in the question Mark to get 4x + 0.25 = 4.5x
Dorothy put $470 into a savings account for one year. The rate of interest on the account was 5.5%. Find the interest earned on the amount.
Answers
Answer: $25.85 assuming annual compounding.
Step-by-step explanation:
PV=470
I/Y=5.5
N=1
CPT_FV
which one is the right graph
Answers
Answer: C
Step-by-step explanation:
The formula for a volume of a square-based prism is L² x h
If we insert 2 for L
We get 2² x 12 = 48
Same thing if we insert 3
3² x 12 = 108
As L is increasing, the volume is also increasing, so options A and D are out
The growth of the volume is not linear; it's exponential, eliminating B to make C the answer
If you want something visual, you can put y=12x² into a graphing calculator.
Simplify the following
Answers
Answer:625/16 or 39,0625
Step-by-step explanation:
=5*5/2*5÷2*3/5*3
=160/64÷8/125
=625/16 or 39,0625
Answer:
Alternate form is 1525.87891
(PICTURE) Im really struggling with questions like these at the moment, if you could please help me out thank you
Answers
Answer:
Arthur should select the Mount Joy Pool when there are less than 10 people at the party
Step-by-step explanation:
The initial fee to rent the Woodbridge Pool = $50
The additional fee per person after renting = $5
The initial fee to rent at Mount Joy Pool = 0 (no initial fee)
The fee per person at Mount Joy Pool = $10
The equation of a straight line is y = m·x + c
Ley y represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;
The total cost of renting Woodbridge Pool, y = 5·x + 50
The total cost of renting the Joy Pool, y = 10·x
Equating both values of y gives;
5·x + 50 = 10·x
∴ 5·x = 50
x = 50/5 = 10
x = 10
From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool
It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons
Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.
The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.
Answers
Answer:
85 i guess
Step-by-step explanation:
The mean of the distribution is 70 and the standard deviation of the distribution is 4.
The shaded area in the distribution below represents approximately 95% of the data. This means that the shaded area is equal to 1.96 standard deviations from the mean.
The 68-95-99.7 rule states that 95% of the data in a normal distribution falls within 2 standard deviations of the mean. So, the shaded area in the distribution below represents the area between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.
The mean of the distribution is the center of the shaded area. The standard deviation of the distribution is the distance from the mean to the edge of the shaded area.
In this case, the mean of the distribution is approximately 70. The standard deviation of the distribution is approximately 4.
Here is a step-by-step explanation of how to find the mean and the standard deviation:
Identify the shaded area in the distribution.
Remember that the shaded area represents 95% of the data.
Use the 68-95-99.7 rule to determine that the shaded area is between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.
Find the mean by averaging the two points on the distribution that are 1.96 standard deviations from the mean.
Find the standard deviation by subtracting the mean from one of the points on the distribution that is 1.96 standard deviations from the mean.
Therefore, the mean of the distribution is approximately 70 and the standard deviation of the distribution is approximately 4.
To learn more about standard deviation here:
https://brainly.com/question/13498201
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Given a sphere with radius r, the formula 4x1/2 gives
A. the volume
B. the surface area
C. the radius
D. the cross-sectional area
Answers
Answer:
c. the radius
Step-by-step explanation:
To calculate the radius of a sphere:
r = d x ½
where d = diameter
The area CA) of a Paroullelogram is found by using this formula A =BH What is the area when to b is 7cm and h is 3cm?
Answers
Answer:
21cm2
Step-by-step explanation:
Area (A = BH)
B = 7cm
H = 3cm
Therefore we multiply Base(B) with height (H) to get the area.
Hence;
Area = (7 × 3) cm2
= 21cm2
A survey was taken of students in math classes to find out how many hours per day students spend
on social media. The survey results for the first., second-, and third-period classes are as follows:
First period: 2,4,3,1,0, 2, 1, 3, 1,4,9,2,4,3,0
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Third period: 4,5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1,3
Which is the best measure of center for second period and why? (5 points)
1. Mean, because there are no outliers that affect the center
2. Median, because there is 1 outlier that affects the center
3. Interquartile range, because there is 1 outlier that affects the center
4. Standard deviation, because there are no outliers that affect the center
Answers
Answer:
1. Mean, because there are no outliers that affect the center
Step-by-step explanation:
Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2
Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4
The mean = ΣX / n
n = sample size, n = 15
Mean = 34 / 15 = 2.666
The median = 1/2(n+1)th term.
1/2(16)th term = 8th term.
The 8th term = 2
The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.
Both interquartile range and standard deviation are measures of spread and not measures of centre.
Age of Yusuf is 24 years more than half the age of Ajay. 5 years before sum of their ages was 41. Find their present ages.
Answers
Answer:
Yusuf is 33 and Ajay is 18
Step-by-step explanation:
Let Y and A stand for the ages of Yusuf and Ajay, respectively.
We are told that:
(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]
(A-5)+(Y-5) = 41 [5 years before sum of their ages was 41]
Take the definition of Y in the first equation and use it in the second:
Y = (1/2)A+24 from the first equation
(A-5)+(Y-5) = 41 The second equation
(A-5)+(((1/2)A + 24)-5) = 41 Replace Y with (1/2)A+24
(A-5)+(1/2)A + 24-5 = 41
A-5+(1/2)A + 24-5 = 41
(3/2)A + 14 = 41
(3/2)A = 27
A = (2/3)(27)
A = 18
Ajay is 18 years old
Yusuf is Y=(1/2)(18)+24
Yusuf is 33 years old
====
Check: Is Yusuf 24 years more than half the age of Ajay?
Ajay = 18, so (1/2)18 = 9. Add 24 years to get 33. Yes, this works since Yusuf is 33 years old
Was the sum of their ages = 41 five years ago?
Ajay would have been 13 and Yusuf would have been 28 28+13 = 41 YES
show that's ABE = EBC
Answers
Answer:
abe = ebc
Step-by-step explanation:
bcos both the seperate angels have the same degree
The graph below shows the amount of money a store earns for selling T-shirts.
у
T-shirt Sales
100
80
60
Money Earned
(dollars)
40
20
0
4
24
8 12 16 20
Number of T-shirts Sold
What is the unit rate of the graph?
Answers
Answer:
Whattt pls draw the graph.. And it will show the us the rate
what is the formula to get combined mean value
Answers
Answer:
The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5
help plz 20 points <33333
Answers
Answer:
B) 120 degrees
Step-by-step explanation:
it is a regular hexagon. that means all sides and all angles are the same.
Answer: B) 120
Step-by-step explanation: Since it’s a regular hexagon it will have the same side lengths and angles. So if one angle is 120, the rest will be as well.
