What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
o 4
8
80
200
Answers
Answer:
x = 200
Step-by-step explanation:
1/5x - 2/3y = 30 y = 15
1/5x - 2/3(15) = 30
1/5x - 10 = 30 | + 10
1/5x = 40 | * 5
200 = x
Related Questions
1.
Look at the polygon below.
10 cm
1 cm
4 cm
2 cm
1 cm
6 cm
1 centimeter = 1 cm
What is the perimeter of the polygon?
Answers
Perimeter = 25
Hope this helps
Answer:
24 cm
Step-by-step explanation:
10 + 1 + 4 + 2 + 1 + 6 = 24 cm
Hope this helps
Quadratic formula to find the values of x that are solutions to the equation 2x2 + 3x + 1 = 0
Answers
Answer:
x = -0.5 or -1
Step-by-step explanation:
Given the quadratic equation;
2x² + 3x + 1 = 0
The standard form of a quadratic equation is ax² + bx + c = 0
Therefore, a = 2, b = 3 and c = 1
Quadratic equation formula is;
\( x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} \)
Substituting into the equation, we have;
\(x = \frac {-3 \; \pm \sqrt {3^{2} - 4*2*1}}{2*2}\)
\(x = \frac {-3 \pm \sqrt {9 - 8}}{4}\)
\(x = \frac {-3 \pm \sqrt {1}}{4}\)
Simplifying further, we have;
\(x = \frac {-3 \pm 1}{4}\)
\(x_{1} = \frac {-3 + 1}{4}\)
\(x_{1} = \frac {-2}{4}\)
\(x_{1} = -0.5\)
To find the value of x2;
\(x_{2} = \frac {-3 - 1}{4} \\x_{2} = \frac {-4}{4} \\x_{2} = -1\)
Therefore, the value of x = -0.5 or -1
I need help resolving this please
Answers
27x^6 = 387420489
You want something similar but cubed.
\(\sqrt[3]{387420489}\) = 729
YOUR ANSWER: 729x^3 = 387420489
Step-by-step explanation:
Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
Answers
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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I NEED THIS ASAP I HAVE A TEST DUE 5 MIN AGO AND IF ITS ANY LATER THEN 15 MIN THEN I FAIL 15 POINTS FOR WHOEVER CAN GET ME THE RIGHT ANSWER!!!!!!!!!!!!
Tina's salsa class membership, which is $15, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
Group of answer choices
(−$15) ÷ 12
(−$15) + 12
(−$15) − 12
(−$15) ⋅ 12
Answers
Answer:
(-15$) • 12
Step-by-step explanation:
Because your taking away 15$ from each month, and there's 12 month each year.
I explained each answer choice in the comments bellow.
Answer:
The Naswer is the Last one, D
Step-by-step explanation:
A 30 microFarad capacitor is connected into a 240 V, 60 Hz circuit. What is the current flow in this circuit?
Answers
We must determine the voltage's rate of change with regard to time. The voltage changes sinusoidally with time in an AC circuit. the current flow in the circuit is \(3.817\) Amperes.
What is the current flow in the circuit?To calculate the current flow in the circuit, we need to use the formula:
\(I = C x dV/dt\)
Where:
I is the current flow in the circuit (in Amperes)
C is the capacitance of the capacitor (in Farads)
dV/dt is the rate of change of voltage with respect to time (in Volts per second)
First, we need to calculate the rate of change of voltage with respect to time. In an AC circuit, the voltage varies sinusoidally with time. The formula for voltage in an AC circuit is:
\(V = Vm sin(ωt)\)
Where:
Vm is the maximum voltage (in Volts)
ω is the angular frequency (in radians per second)
t is the time (in seconds)
We know that the voltage is 240 V and the frequency is 60 Hz. We can use these values to calculate Vm and ω:
\(Vm = √2 x Vrms = √2 x 240 = 339.4 V\)
\(ω = 2πf = 2π x 60 = 377 rad/s\)
Now, we can calculate \(dV/dt:\)
\(dV/dt = ω Vm cos(ωt)\)
At \(t = 0\) (i.e. when the voltage is at its maximum), \(cos(ωt) = 1. Therefore, dV/dt = ω Vm = 127,234 V/s.\)
Finally, we can calculate the current flow:
\(I = C x dV/dt = 30 x 10^-6 F x 127,234 V/s = 3.817 A\)
Therefore, the current flow in the circuit is 3.817 Amperes.
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6.2*10^15 in a calculator
Answers
Answer:
6200000000000000
Step-by-step explanation:
Answer:
6,200,000,000,000,000
Step-by-step explanation:
6.2 x \(10^{15}\) = 6,200,000,000,000,000
The area labeled B is four times the area labeled A. Express b in terms of a.
The x y-coordinate plane is given. A curve and shaded region are graphed.
The curve y = ex enters the window in the second quadrant, goes up and right, crosses the y-axis becoming more steep, then exits the window in the first quadrant.
The shaded region A is below the curve and above the x-axis between x = 0 and x = a.
Answers
The area labeled B is four times the area labeled, Expression of b in terms of a is \(b=ln(3e^a-2)\)
The equation of the curve is \(y = e^x\).
The shaded region A is the area under the curve between x = 0 and x = a, so its area is given by,
\(A = \int\limits^a_0 {e^x} \, dx = e^a-1\)
The area labeled B is four times the area labeled A, so its area is given by,
B = 4A = 4(\(e^a\) - 1)
To express b in terms of a, find the value of b that satisfies,
\(\int\limits^a_0 {e^x} \, dx = 3(e^a-1)\)
Using the formula for the integral of e^x, we get:
\(e^b - e^a =3(e^a-1)\)
Solving for b, we get:
\(b=ln(3e^a-2)\)
So the area labeled B is ,4(\(e^a\) - 1) and the value of b that satisfies the given condition is \(b=ln(3e^a-2)\) .
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NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
Answers
Answer:
3/10
Step-by-step explanation:
add all the marbles together4+6+10
=20
probability of picking a white marble is6/20
=3/10
Merrisa is booking a holiday costing £660.
She needs to pay a deposit of of the total cost of the booking
How much does she pay?
Answers
The amount of money she will have to pay for booking of the holidays would be = £220
How to calculate the amount ofr deposit?The total amount of money that will cost Merrisa for booking of holidays = £660
The fraction of the total cost that she needs to deposit = 1/3
Therefore, the actual amount that she needs to deposit = 1/3 of £660
= 1/3× 660
= £220
Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.
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3. Adrian is 8 years older than his brother, Jose. In 3 years he will be twice as old as his brother. Find the present age of each.
Answers
Answer:
Age of Jose = 5 years
Age of Adrian = 13 years
Step-by-step explanation:
Let:
Age of Jose = x
Age of Adrian = x+8
After 3 years
Age of Jose = x+3
Age of Adrian = x+8+3 = x+11
Now, we are given, in 3 years he will be twice as old as his brother.
So, we can write
Age of Adrian = 2 (Age of Jose)
x+11 = 2(x+3)
x+11=2x+6
2x-x=11-6
x=5
So, we get value of x = 5
Now, the present ages will be:
Age of Jose = x = 5 years
Age of Adrian = x+8 = 5+8 = 13 years
Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.
Answer:Jose is currently 5 years old.Adrian is currently 13 years old.Solution and Explanation:Let's represent the age of Jose as \(\large\rm x\)
According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as \(\large\rm x + 8\).
In 3 years, Adrian's age will be \(\large\rm (x + 8) + 3\) and Jose's age will be \(\large\rm (x + 3)\).
The problem also tells us that in 3 years, Adrian will be twice as old as Jose:
\(\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}\)
So Jose is currently 5 years old.
To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:
\(\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}\)
Therefore:
Jose is currently 5 years old.Adrian is currently 13 years old.\(\\\\\)
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Each month, Braxton uses an average of 8 ounces of lotion. Calculate Braxton's total monthly savings if he purchases the brand that has the lowest price per ounce versus the highest price per ounce.
Brand A: 24 ounces for $3.30
Brand B: 40 ounces for $4.60
a $0.18
b $0.75
с $1.30
d $1.50
Answers
Option a: Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price
Given,
Braxton’s average monthly usage of lotion = 8 ounces
The amount of two different brands of lotion are given:
Brand A: 24 ounces for $3.30
Brand B: 40 ounces for $4.60
We have to find the monthly savings of Braxton if he purchases the brand that has the lowest price per ounce versus the highest price:
We have to calculate amount for one ounce for the two brands given:
Brand A:
24 ounces for $3.30
Amount for one ounce = 3.30/24
Amount for one ounce = $0.1375
Brand B:
40 ounces for $4.60
Amount for one ounce = 4.60/40
Amount for one ounce = $0.115
Now, we have to calculate the amount for 8 ounces.
Brand A:
8 x 0.1375 = 1.1
$1.1 for 8 ounces of Brand A lotion.
Brand B:
8 x 0.115 = 0.92
$0.92 for 8 ounces of Brand B lotion.
Now, we have to calculate the savings:
Brand A – Brand B
1.1 – 0.92 = 0.18
That is, Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price.
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Find a positive angle less than 360° that is coterminal with the given angle.
410°
Answers
Answer:
50°
Step-by-step explanation:
Subtract 360° from 410°
50° is positive, less than 360°, and is a coterminal of 410°
make e the subject
e-5=2f
Answers
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
8x^(2)+16x=42 completeing the square
Answers
x
2
+
16
x
=
42
Step 2: Subtract 42 from both sides.
16
x
2
+
16
x
−
42
=
42
−
42
16
x
2
+
16
x
−
42
=
0
For this equation: a=16, b=16, c=-42
16
x
2
+
16
x
+
−
42
=
0
Step 3: Use quadratic formula with a=16, b=16, c=-42.
x
=
−
b
±
b
2
−
4
a
c
2
a
x
=
−
(
16
)
±
(
16
)
2
−
4
(
16
)
(
−
42
)
2
(
16
)
x
=
−
16
±
2944
32
x
=
−
1
2
+
1
4
46
or
x
=
−
1
2
+
−
1
4
46
Answer:
x
=
−
1
2
+
1
4
46
or
x
=
−
1
2
+
−
1
4
46
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Select the correct answer from each drop-down menu. The inequality 5m − 7 > 16 holds true for all numbers _ than _ in the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Answers
The values of {m} that is greater than 4.6 represent the solution of the given inequality.
An inequality is used to compare two or more expressions or numbers.
For example -
2x > 4y + 3
x + y > 3
x - y < 6
The given inequality is -
5m - 7 > 16
Adding 7 on both sides, we get -
5m - 7 + 7 > 16 + 7
5m > 23
m > 23/5
m > 4.6
Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.
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A company rents accessible bikes for people with physical disabilities. The scatter plot
shows the relationship between the number of hours an accessible bike is rented and
the total amount paid at rental locations in different cities.
Is the line y = 10x a good fit for the data? Use the drop-down menus to explain.
Total Amount Paid ($)
y
100
90
80
70
60
50
40
30
20
10
Accessible Bike Rentals
0 1 2 3 4 5 6 7 8 9 10
Answers
The proportional relationship y = 10x is a good fit for the data.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, for each value of x, the output is 10 times that, hence the constant is k = 10 and the proportional relationship y = 10x is a good fit for the data.
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write the values of n such that -15< 3n ≤ 6
Answers
Answer:n=2
Step-by-step explanation:
If you multiply 3 by 2 you get 6.
6 is more than -15 But equal to 6 so two works for N in the situation
Note: The sign between the 3N and six means Less than OR equal to
The notebook shows the money Reina eamed and spent in the month of April
A positive number represents money eamed. A negative number represents
money spent. Reina wants to find her profit for April
Answers
Answer: 7 dollars
Step-by-step explanation:
You can use a math calculator do 13 + -6
THE graph of f(x), shown below has the same shape as the graph of G(x)=3x^2, but it is shifted down 1 unit, what is the equation
Answers
Answer:
\(3x^2-1\)
Step-by-step explanation:
Which is the correct mapping statement for a rotation 180∘ about the origin?
(x,y)↦(y,x)
(x,y)↦(−x,−y)
(x,y)↦(−y,x)
(x,y)↦(y,−x)
Answers
Answer:
B
Step-by-step explanation:
it moved twice to the left hand side because it's 180 anticlockwiseAnswer:(x,y)↦(−x,−y)
Step-by-step explanation:
Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.
Answers
Answer:
x= 3
2
Step-by-step explanation:
Answer:
Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.
✔ (x – 4)² = 25
Step-by-step explanation:
if 2<x<4 and 3<y<7 the largest integer value of x+y is
Answers
Step-by-step explanation:
2 < x < 4 and 3 < y < 7
We have (2 + 3) < (x + y) < (4 + 7),
Therefore 5 < x + y < 11.
The largest integer value for
x + y is 10.
Scott is four more than double the age of Todd. Scott is 56. What is Todd's age?
Answers
Answer: 26 years old
Step-by-step explanation:
Since Scott is four more than double the age of Todd, start by taking away four from Scott's age.
56-4=52
Then take half of that because that would be double of Todd's age
52/2=26
Todd is 26 years old.
NEED HELP FAST ASAP!!
Answers
Answer:
The answer is C. 7 and -7
Answer:
c
Step-by-step explanation:
I hope you get it right
what is the median of numbers 20,35,28,15,22,36,26
Answers
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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Please find the volume of the figure
Answers
Answer:
84 π (m)³
Step-by-step explanation:
r = 6, h =7
volume = (1/3) π r² h
= (1/3) π (6)² (7)
= 84 π (m)³
1/ab + a^2/b^2
find the sum?
Answers
\(\dfrac 1{ab} + \dfrac{a^2}{b^2}\\\\\\=\dfrac{b+a^3}{ab^2}\\\\\\=\dfrac{a^3 +b}{ab^2}\)
CAYMAN Sleep Couch PRICE Was R2-699 (including VAT) PRICE Now R1 999 (excluding VA Use information above to answer the questions that follow. 2.1 Show that the couch's original price excluding VAT was R2 346.96. 2.2 Show with calculation that a customer is expected to pay R2 299 incl nouding VAT when purchasing the couch at SALE price.
Answers
Given: cost of CAYMAN sleep couch with VAT is R2 699
cost without VAT is R1 999
What are the answers for 2.1 and 2.2 questions?2.1 To calculate the original price of the couch excluding VAT, we can use the following formula:
Price including VAT / 1 + (VAT rate / 100) = Price excluding VAT
In this case, the VAT rate is 15% (since it is included in the original price), so the formula is:
R2,699 / 1 + (15 / 100) = R2,346.96
2.2 To calculate the expected price of the couch including VAT at the sale price, we can use the following formula:
Price excluding VAT * (1 + (VAT rate / 100)) = Price including VAT
In this case, the VAT rate is still 15% and the sale price is R1,999 (excluding VAT), so the formula is:
R1,999 * (1 + (15 / 100)) = R2,299
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