Suppose that y varies directly with x and y = 10 when x = 20. What is y when x = 15?
Answers
Given that,
y varies directly with x and y = 10 when x = 20.
To find,
The value of y when x = 15.
Solution,
[tex]y\propto x\\\\y=kx[/tex]
Put x = 20 and y = 10
[tex]k=\dfrac{y}{x}\\\\k=\dfrac{10}{20}\\\\=\dfrac{1}{2}[/tex]
Put k = 1/2 and x = 15 to find the value of y.
[tex]y=\dfrac{1}{2}\times 15\\\\=7.5[/tex]
So, the value of y is 7.5
Related Questions
Without graphing, classify each system
independent, dependent, or inconsistent
15x = 10y - 20
18 + 9x = 6y
Answers
Answer:
Inconsistent
Step-by-step explanation:
None
Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer’s fixed cost and the rate per student served?
Answers
Step-by-step explanation:
the price charged for 100 students reflects the cost per student that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
...
We can check this by substituting in the other equation.
Does 150*6 + 150 = 1050?
150*6=900
900+150 = 1050.
Yes, it does
...
We can express this relationship by the equation:
y = mx + b
where
y = total cost
m = $6 per student
x = number of students
b = fixed costs = 150
y = 6x + 150
The caterer’s fixed cost and the rate per student served is $6 and $150
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with
[tex]-\dfrac{a_2}{a_1}[/tex]
which will make coefficient of x in first equation as
[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
Given;
Cost of 100 students= $750
Cost of 150 students= %1050
Let the fixed cost of caterer be x
and the cost per student be y
x+100y=750...(1)
x+150y=1050...(2)
solving the above equations;
50y=300
y=6
x=750-600=150
The fixed cost is $150, while the per-student cost is $6.
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Jim has 3 pairs of pants
and 2 shirts. How many
different ways can he
dress?
Answers
Answer:
2 to 5 different ways
Step-by-step explanation:
Answer:
12 different ways he can dress
Step-by-step explanation:
Let The Pant be A and Shirt be B
So, we have 3 pair of pants i.e., 6 Pants
Here, We assumed that the pant be A then 6 pants be
A₁ A₂ A₃ A₄ A₅ A₆
Now, For Shirts
We have 2 Shirts
But we assumed that the Shirt be B then 2 Shirts be
B₁ B₂
Then, We will make pair of A and B
A₁ = B₁
A₂ = B₁
A₃ = B₁
A₄ = B₁
A₅ = B₁
A₆ = B₁
A₁ = B₂
A₂ = B₂
A₃ = B₂
A₄ = B₂
A₅ = B₂
A₆ = B₂
Thus, 12 different ways he can dress
-TheUnknownScientist
Jerome wants to rent a car for 8 days, and he's interested in the collision damage waiver but not the loss damage waiver. If the daily rate is $60 and CDW is $66, what is his total rental cost?
A$588
B$480
C$546
D$1008
Answers
Answer:
c?
Step-by-step explanation:
Answer:
C.546
Step-by-step explanation:
60×8=480+ 66=546
Ralph makes $6.50 per hour plus about $10 in commission at his job. Tom makes $6.15 per hour plus about $15 in commission at his job. Which system of equations matches this situation, if x represents the number of hours worked, and y represent total pay?
a) y=6.50x+15
y=6.15x+10
b) y=10x+6.50
y=15x+6.15
c) y=6.50x+10
y=6.15x+15
d) y=6.50x+10
6.15x+y=15
Answers
Answer:c
Step-by-step explanation:
Use the figure and follow the directions below.
Answers
“How mathematics is involved in Merchandising?”
Answers
Answer:
You have to have the number of items you paid for and know what numbers you're calculated at checkout.
Which expression is equivalent to 5(2y + 8) − 4y ?
A. 6y + 40
B. 6y + 8
C. 14y + 40
D. 14y + 8
CMON PLEASE ITS TIMED.
Answers
Answer:
I also think its A.
Step-by-step explanation:
10y + 40- 4y
(10y-4y)+40
6y+40
Rewrite 14 1/3 as an improper fraction
Answers
Answer:
Step-by-step explanation:
((14×3) + 1 )/3 = (43/3)
14 1/3 can be expressed as 43/3, which is an improper fraction.
To rewrite 14 1/3 as an improper fraction, we need to convert the mixed number into a fraction.
First, we multiply the whole number (14) by the denominator of the fraction (3) and add the numerator (1). This gives us the numerator of the improper fraction. The denominator remains the same.
14 × 3 = 42
Next, we add the numerator (1) to the result we obtained above.
42 + 1 = 43
Therefore, the improper fraction equivalent to 14 1/3 is 43/3.
In the fraction 43/3, the numerator (43) represents the total number of parts we have, and the denominator (3) represents the size of each part. It indicates that we have 43 equal parts of size 1/3.
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Is TA congruent to GO? Proof?
Answers
Answer:
Yeah
Step-by-step explanation:
Find the distance between a and b
Answers
Answer:I believe it is 2.4
Step-by-step explanation:
What is the measure of angle c? Pls hurry
Answers
Answer:
I think the answer is 43
Step-by-step explanation:
Because b=83
The total value of triangle angles =180
So 54+83=137
180-137=43
How many works can be formed for rearranging the letters of the word PROBLEMS such that P and S the first and last position respectively
Answers
Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainlyest⚠️
Answers
Answer:
They are parallel, they will never intersect.
Step-by-step explanation:
Notice that they have exactly the same steepness, which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.
This is the simplest form because you can’t combine x with 6.
This question is designed to be answered without a calculator.
Use this graph of function f.
For how many values of x is f not differentiable over the interval (–4, 4)?
Answers
Answer:
4
Step-by-step explanation:
In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.
Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
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Help plz aidjkeksnszhosksoaoaoaozizbzbzjsijssj
Answers
Which linear function has the same y-intercept as the one that is represented by the graph?
Oy=2x-4
Oy=2x-3.
Oy=2x+3
Oy=2x+4
Answers
Answer:
Oy=2x+3
Step-by-step explanation:
The function that has the {y} - intercept as that of the function graphed is y = 2x + 3
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the linear function that has the same y-intercept as the one that is represented by the graph.
The function graphed has the {y} - intercept of 3.
For the functions given -
Functions {y} - intercept
y=2x-4 -4
y=2x-3. -3
y=2x+3 3
y=2x+4 4
So, the function that has the {y} - intercept of 3 is y = 2x + 3.
Therefore, the function that has the {y} - intercept as that of the function graphed is y = 2x + 3.
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Fort Worth and Houston are 240 miles apart. The scale of a map of Texas is 1 inch = 50 miles. How far apart are Fort Worth and Houston, in inches, on the map?
Answers
Answer:
4.8
Step-by-step explanation:
just divide
At 3 P.M., the temperature was 9 degrees fahrenheit. By 11 P.M., it had
dropped 31 degrees fahrenheit. What was the temperature at 11 P.M.?*
Answers
Answer: -22 degrees
Step-by-step explanation:
Which situation has a net result of zero?
The temperature was -9'F and fell 9°F.
Janet had $4 and gave $3 to her friend.
High tide was 5.5 ft and now low tide is -0.5 ft.
The hot-air balloon rose 539 feet. It then lost 539 feet of altitude.
Answers
Answer:
D. The hot-air balloon... results in a net of zero
Step-by-step explanation:
Thanks for the points my guy :)
have a great day
Answer:
canberry
Step-by-step explanation:
2= f/8 f= solve the equation
Answers
F is being divided by eight , when moving across equal sign the sign is opposite.
2 x 8 = f
16=f
On Tuesday Alberto bought 6 hats. On Wednesdqy half of all the hats that he had were destroyed. On Thursday there were only 13 left . How many did he have on Monday? please show steps??
Answers
Answer:
He had 20 hats on monday
Step-by-step explanation:
13*2= 26
26-6= 20
13+13 is 26 and that is including the 6 extra hats
Then u have to 26-6 to get the extra 6 away to get the Monday amount which is 20
Hope this helps tries to explain I fast! Brainly will be appreciated!!!
What is the absolute value of -27 1/3
Answers
The absolute value of -27 1/3 is 27 1/3. The meaning of absolute value is the distance from the number and zero. -27 1/3 is 27 1/3 away from zero.
Answer: 27 1/3
Reason: The absolute value is the distance from that number to zero, and that's why it's that answer.
I hope this helps, and Happy Holidays! :)
Solve For y:
-1/2=3/8y
y=
Answers
Answer:
y = -4/3
Step-by-step explanation:
multiply each side with a reciprocal of 3/8 which is 8/3.
8/3 * -1/2 = -4/3
Answer:
-4/3
Step-by-step explanation:
Question 1 Imaginary & Complex Numbers-Addition & Subtraction Solve the following: (7 – 21) – (2+61) = O 9 +82 O 5 - 42 0 5 - 82 0 5+ 8i
Answers
Answer:this did not work for me
Step-by-step explanation:
the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class
Answers
Answer: 15 boys and 10 girls
Step-by-step explanation:
15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.
Answer:
25
Step-by-step explanation:
3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)
15+10=25 total boys and girls
7 is what percent of 8
Answers
Answer:
87.5%
Step-by-step explanation:
.
..
...
....
......
......
....
....
7 is 87.5 percent of 8.
Here, we have,
given that,
7 is what percent of 8
now, let,
x% of 8 is 7.
we know that,
of means multiply
now, we have,
x% of 8 is 7..
=> x% × 8 = 7.
=> x% = 7/8
=> x% = 0.875
=> x = 0.875 * 100
=> x = 87.5
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You deposit $500 into an account that is compounded quarterly at a rate of 7.2%. In how many years will it take for your account to have over $1000?
Answers
Answer:
4560 is right answer
Step-by-step explanation:
4560 is right answer
Graham decided to play football this year instead of getting a part-time job. Last year he made about $1,100 during football season. He also spends about $9 on eating out after each game. His team plays a 10-game season. What is his opportunity cost of playing football?
Answers
10,091 because it's a 10 season football season and he spends 9 dollars every game
Step-by-step explanation:
ez
The opportunity cost of playing football for Graham is $1,190.
What is the Opportunity cost?The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.
Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.
Therefore, the opportunity cost of playing football for Graham is,
Opportunity cost
= Amount that Graham would have made in a part-time job + Total cost of playing football season
= $1,100 + (Number of games × Amount spend in a single game)
= $1,100 + (10×$9)
= $1,100 + $90
= $1,190
Hence, the opportunity cost of playing football for Graham is $1,190.
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A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b) can also be carried by the hot air balloon? Select three options.
A -2
B 0
C 5
D 8
E 10
Answers
Answer:
8
Step-by-step explanation:
300 - 140 = 160 so 160 divided by 20 is 8
Answer:
8, 0, 10
Step-by-step explanation: