The ratio of the number of blue marbles to the number of marbles that are orange or green is 1 : 3.
Ratio is defined as the relationship between two quantities. It can be expressed as a to b, a/b, or a : b.
Let a = total number of blue marbles
b = total number of orange and green marbles
If the total number of blue marbles is 5 and the total number of orange and green marbles are 9 and 6, respectively, then the ratio is 5 to (9 + 6).
Simplify the ratio.
5 : (9 + 6) = 5 : 15 = 1 : 3
Hence, the ratio is 1:3.
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If point A, havingcoordinates (p, 3) andpoint B, with coordinates(6, p) lie on a line havinga slope of 2, what is thevalue of p?
Take into account that the slope of a line is given by the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1,y1) and (x2,y2) are two points on the line.
In this case:
(x1,y1) = (p,3)
(x2,y2) = (6,p)
By replacing the previous values into the formula for m, we get:
[tex]m=\frac{p-3}{6-p}[/tex]Now, by making m = 2 and solving for p, we obtain:
[tex]\begin{gathered} \frac{p-3}{6-p}=2 \\ p-3=2(6-p) \\ p-3=12-2p \\ p+2p=12+3 \\ 3p=15 \\ p=\frac{15}{3}=5 \end{gathered}[/tex]Hence, the value of p is p = 5
n Bill's physics class, he had to solve the equation 6 = 12kx2 for k. Each step of his work is shown below.
The unknown value from the given linear expression is 1/4
Solving linear equationsAx+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.
When an equation is given in this format, finding both intercepts is rather simple (x and y).
Given the equation below;
6 = 12k * 2
6 = 24k
Divide both sides by 24
24k = 6
k = 6/24
k = 1/4
Hence the value of k from the given expression is 1/4
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You deposit $200 each month into an account earning 4% interest compounded monthly.
a) How much will you have in the account in 25 years?
$
b) How much total money will you put into the account?
$
c) How much total interest will you earn?
$
1. There will be $102, 826 in the account in 25 years.
2. The total amount of money you will put into the account is $60, 000
3. The total interest that you would have earned is $42,826.
How do you calculate total interest?For us to calculate the future value of the account in 25 years, we shoud use the formula; FV = P x (((1 + r)^nt - 1) / r)
When we insert the values, it will be
FV = 200 x (((1 + 0.04/12)^(12 x 25) - 1) / (0.04/12))
= 102, 825. 9. If we round this up, we should get
$102, 826
For us to calculate the total amount of money you put into the account, we should us the formula;
Total Deposits = Monthly Deposit x Number of Months
If we insert the values it wil be
200 x (25 x 12)
60,000
Lasty, if we are to find the total interest earned:
Total Interest = Future Value - Total Deposits
$102, 826 - 60,000
= $42,826
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what is t - 18 = 6 can you help me
Answer:
[tex]\boxed{\sf{t=24}}[/tex]
Step-by-step explanation:
Find the value of t, to isolate on one side of the equation.
t-18=6
First, add by 18 from both sides.
[tex]\rightarrow \sf{t-18+18=6+18}[/tex]
Solve.
Add the numbers from left to right.
6+18=24
[tex]\Rightarrow \boxed{\sf{t=24}}[/tex]
Therefore, the final answer is t=24.
The answer should have a positive sign.
I hope this helps, let me know if you have any questions.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{t - 18 = 6}[/tex]
[tex]\large\text{ADD \boxed{\textsf{18}} to BOTH SIDES:}[/tex]
[tex]\mathsf{t - 18 + 18 = 6 + 18}[/tex]
[tex]\large\text{CANCEL out: \boxed{\mathsf{-18 + 18}} because it gives you 0.}[/tex]
[tex]\large\text{KEEP: \boxed{\mathsf{6 + 18}} because it gives you the answer of the t-value.}[/tex]
[tex]\large\text{New equation: }\mathsf{t = 6 + 18}[/tex]
[tex]\mathsf{t = 6 + 18}[/tex]
[tex]\mathsf{t = 24}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{t = 24}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
(40 points) need answer asap the x=38
There were 7.2 gallons of water in Sandra's bathtub. Then 6.27 gallons drained out. How much water is left in the bathtub?
The amount of water left in the bathroom is 0.93 gallons
How to determine the amount of water left?From the question, the given parameters are:
Total amount of water in the bathroom = 7.2 gallonsAmount of eater drained out = 6.27 gallonsThe amount of water left is the difference between the total amount of water in the bathroom and the amount of eater drained out
This is represenetd as
Amount left = Total amount of water in the bathroom - Amount of eater drained out
Substitute the known values in the above equation
Amount left = 7.2 - 6.27
Evaluate
Amount left = 0.93
Hence, the amount left is 0.93 gallons
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The required measure of the volume of water left in the bathtub is 0.93 gallons.
As per the given data, There were 7.2 gallons of water in Sandra's bathtub. Then 6.27 gallons drained out. How much water is left in the bathtub is to be determined.
Here,
According to the question, the water left after the 6.27 gallons of draining out can be evaluated by the arithmetic subtraction of the initial volume to the volume that drained out, that is,
The volume of water left in the tub = 7.2 - 6.27 = 0.93.
Thus, the required measure of the volume of water left in the bathtub is 0.93 gallons.
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Paige makes bracelets and sells them online for $15 and $20. She buys all of her supplies in bulk. The table shows her sales for the last 3 months. During the 3-month period represented by the table, she ordered supplies twice. Each time, she spent $292.58 on supplies.
Paige's profit for the three-month period given the information provided in the question is $569.84.
What is the profit?
Profit is the difference between total revenue and total cost. Revenue is the product of total units sold and the price per output.
Profit = revenue - cost
Revenue from selling the $15 bracelet = total bracelets sold for the 3 months x price of the bracelet
(8 + 11 + 22) x 15
41 x $15 = $615
Revenue from selling the $20 bracelet = total bracelets sold for the 3 months x price of the bracelet
(7 + 6 + 14) x $20
27 x $20 = $540
Total revenue = $615 + $540 = $1,155
Total cost = $292.58 x 2 = $585.16
Profit = $1,155 - $585.16 = $569.84
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Select the correct answer. A chart shows a stock price model graph labeled the price of the stock in dollars along the y-axis and time in a day along the x-axis. Based on the stock price model, what is the best prediction of what the price will do next? A. hold value B. keep increasing C. start decreasing D. no way to predict
Answer:B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I need the answer soon!
A museum charges $10 for general admission and $2 for each special exhibit you attend.
What does f(0) = 10 represent in the context of this problem?
In linear equation, If the person doesn't attend any events, n = 0, and the price stays at 10, therefore f(n) = 10 + 2n.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).The dependent variable in this scenario is y since it depends on the independent variable, x.To describe the cost of attending n events, create an equation using function notation.
A 10 dollar entrance fee is required each time, and a further 2 dollars must be paid for each unique exhibit that a visitor chooses to visit.
The function, which would depend on n events, is
If the person doesn't attend any events, n = 0, and the price stays at 10, therefore f(n) = 10 + 2n.
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Find the x- and y-intercepts of the graph of 4x-4y=324x−4y=32. State each answer as an integer or an improper fraction in simplest form.
Answer:x-intercepts (5,0)
y-intercepts (0,-5)
Step-by-step explanation: To find the x-intercept substitute in 0 for y and solve for x. to find the y-intercept subsitute 0 for x and solve for y
Can anyone solve this please, tommorow is my exam
Answer:
x=172°
Step-by-step explanation:
5x-11=3x-5
2x-11=5
2x=16
x=8
180-8=172
can anyone please solve this 3 dimensional equation?
The solution for the system of equations of three variables is:
x = 4
y = -1
z = -3
Or (4, -1, -3) written as a point.
How to solve the system of equations?
Here we have a system of equations on 3 variables, the system is:
3x + 2y + z = 7
5x + 5y +4z = 3
3x + 2y + 3z = 1
Notice that the "x" and "y" coefficients in the first and last equation are the same ones, so we can take the difference between these to get:
(3x + 2y + 3z ) - (3x + 2y + z ) = 1 - 7
2z = -6
z = -6/2 = -3
So the value of z is -3.
Replacing that in the first and second equation we get:
3x + 2y - 3 = 7
5x + 5y + 4*(-3) = 3
Now we can simplify these:
3x + 2y = 10
5x + 5y = 15
We can divide the second one by 5 to get:
(5x + 5y)/5 = 15/5
x + y = 3
Isolating x, we get:
x = 3 - y
Now we replace that in the other equation:
3*(3 - y) + 2y = 10
9 - y = 10
9 - 10 = y
-1 = y
Now we know the value of y, finally with:
x = 3 - y
We can get the value of x:
x = 3 - (-1) = 4
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Solve for y:
4x-8y=32
Answer: y = -4 + x/2
Step-by-step explanation:
middle.
Submit
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1 103 <
What is the answer to this I literally suck at math
Answer:
I think it's 4 on the left and 5 on the right side
Step-by-step explanation:
4*4*4=64
and
5*5*5=125
Find the number that makes the ratio equivalent to 3:5
Answer:
6:109:1512:20
Step-by-step explanation:
Find the number that makes the ratio equivalent to 3:5
multiply or divide 3 (numerator) and 5 (denominator) by the same number, the result of the division will be equal, therefore equivalent
6:10
9:15
12:20
the result of all ratios is 0.6, therefore equivalent
Luke receives an electric bill of \$84.21$84.21dollar sign, 84, point, 21 for the month of April. The electric company charges \$0.14$0.14dollar sign, 0, point, 14 per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity. Given that April has 303030 days, about how many kilowatt-hours did Luke use per day during the month of April?
Choose 1 answer:
Given that April has 30 days, Luke used, on average, 20.05 kilowatt-hours of electricity per day during April.
What is average?The average is the mean value obtained by dividing the total value of a data set by the number of items.
In this situation, we can divide the total electric bill for April by 30 to obtain the average daily charge.
In addition, we can divide the average charge per day by the cost per kilowatt-hour to obtain the number of kilowatt-hours used per day.
The total electric bill for April = $84.21
The charge per kilowatt-hour (kWh) = $0.14
The number of days in April = 30
The bill per day = $2.807 ($84.21/30)
The kilowatt-hours per day = 20.05 kWh ($2.807/$0.14)
Thus, Luke used an average of 20.05 kilowatt-hours per day in April.
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Determine whether each triangle below will form a unique triangle, no triangle or more than one triangle based on the criterion given.
Answer:
A: A unique triangle
B: A unique triangle
C: More than a triangle
A man realizes he lost the detailed receipt from the store and only has the credit card receipt withthe after-tax total. If the after-tax total was $1,656.99, and the tax rate in the area is 8.396, what wasthe pre-tax subtotal?
The pre-tax subtotal was $171.00.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that:
After-tax total = $1,656.99
Tax rate in the area = 8.396%
The pre-tax price would be 100% and this tax rate is an addition.
Total percent = (100+8.396)% = 108.3%
Consider x be the pre-tax amount.
The total bill= (after-tax total) = (pre-tax subtotal) + 8.3% · (pre-tax subtotal)
(after-tax total) = (pre-tax subtotal) 108.3
Divide by the coefficient on the right;
(pre-tax subtotal) = (after-tax total)/108.3
= $1,656.99/108.3
= $171.00
Therefore, The pre-tax subtotal was $171.00.
The pre-tax amount was $130.
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help battery 10% pls hurry
The solution to the simultaneous equation is y = 5.5 and x = 1.5
How to solve for the simultaneous equation'Simultaneous equations are the types of equations in mathematics that is made up of two equations where the equations would have to share variables.
we have
y = 3x + 1 - - - - 1
x + y = 7 - - - - 2
we have to put the value of y in equation 1 into equation 2
we would have
x + 3x + 1 = 7
4x + 1 = 7
4x = 7 - 1
4x = 6
x = 6 / 4
x = 1.5
put the value of x in equation 2 to get y
1. 5 + y = 7
y = 7 - 1.5
y = 5.5
Therefore the values of y is 5.5 while the value of x is 1.5
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The required solution of the given simultaneous equation is x = 1.5 and y = 5.5.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
y = 3x + 1 _ _ _ _ _ _ (1)
x + y = 7 _ _ _ _ _ _ (2)
From equation 2
y = 7 - x substitute this in equation 1
7 - x = 3x + 1
4x = 6
x = 6 / 4
x = 3 / 2
Now put this x in equation 2
3/2 + y = 7
y = 7 - 3/2
y = 11 / 2
Thus, the required solution of the given simultaneous equation is x = 1.5 and y = 5.5.
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Use point-slope form to write the equation of a line that passes through the point (13,5) with slope 1.
The equation of the line is y = x - 8 which passes through the point (13,5) with slope 1.
We have to determine the equation of a line that passes through the point (13,5) with slope 1.
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let the required line would be as
⇒ y - y₁ = m (x - x₁ )
The required line passes through the point (13, 5)
Here x₁ = 13 and y₁ = 5 and m = 1
Substituting these inputs into the above equation obtains the line equation.
⇒ y - 5 = (1)(x - 13)
⇒ y - 5 = (x - 13)
⇒ y = x - 13 + 5
⇒ y = x - 8
Thus, the equation of the line is y = x - 8 which passes through the point (13,5) with slope 1.
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what is the slope of the line represented by the equation 4/5x -3
The slope of the line represented by the equation; 4/5x - 3 is; 4/5.
What is the slope of the line represented by the equation 4/5x - 3?It follows from the task content that the slope of the line represented by the equation; (4/5)x - 3 is to be determined.
Recall, from line geometry and equation of lines;
The slope-intercept form of the equation of a line, y is given as; y = mx + c.
Where, m is the slope and c is the y-intercept.
Therefore, by comparison of the equation defined as; 4/5x - 3; it follows that the slope of the equation is; 4/5.
Ultimately, the required slope is; 4/5.
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Rationalise the denominator and simplify
6/square root 3
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{6}{\sqrt{3} }[/tex] They do not want a radical in the denominator. So you need to multiple the numerators and the denominator by [tex]\sqrt{3}[/tex]
[tex]\frac{6}{\sqrt{3} }[/tex] x [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{6\sqrt{3} }{3}[/tex] = 2[tex]\sqrt{3}[/tex]
[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{6 \sqrt{3} }{3} = 2 \sqrt{3} [/tex]
hope it will work
Hi I need this Answered right now please I have school in 60 min
At a school, 460 of the students walk to school
Thew number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?
hi I need help with this question anyone got answers??? please its due tmrrrr!!!!!
5 1/4 ÷ 2/4
systems of equations homework
a) (2, -2)
[tex]\begin{gathered} 3x+y=4 \\ 3(2)-2=4 \\ 6-2=4 \\ 4=4 \\ \text{and} \\ x-3y=-4 \\ 2-3(-2)=-4 \\ 2+6=-4 \\ 8=-4 \end{gathered}[/tex]answer: the ordered pair is not a solution of the given system
b) ( -1, 5)
[tex]\begin{gathered} -x+y=6 \\ -(-1)+5=6 \\ 1+5=6 \\ 6=6 \\ \text{and} \\ 2x+3y=13 \\ 2(-1)+3(5)=13 \\ -2+15=13 \\ 13=13 \end{gathered}[/tex]answer: the ordered pair is a solution of the given system
Jonathon's family is driving to a foot ball game. they have completed 40% of the trip they have traveled 20 miles how far is the trip
The total distance of the trip is 50 miles
How to determine the length of the trip?From the question, we have the following parameters
Distance completed = 40%
Distance travelled = 20 miles
Represent the total distance with x
So, we have the following equation
Distance travelled = Distance completed *Total distance
This gives
Distance travelled = Distance completed * x
So, we have
20 miles = 40% * x
Divide both sides by 40%
x = 50 miles
Hence. the length of the trip is 50 miles
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A boat can travel 228 miles on 19
gallons of gasoline. How much gasoline
will it need to go 48 miles?
Round the answer to two decimal digits
Answer: 4 gallons
Step-by-step explanation:
The boat can travel 228 miles on 19 gallons of gasoline. We can divide 228 by 19 to find out how many miles the boat can travel on 1 gallon of gasoline, which is 12. For the boat to go 48 miles, we can divide 48 by 12 to get the answer, which is 4. The boat can travel 48 miles with 4 gallons of gasoline.
Find the distance between points M(6,16) and Z(−1,14) to the nearest tenth.
Answer:
7.3units
Step-by-step explanation:
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 -y1) {}^{2} } [/tex]
[tex] \sqrt{ (- 1 - 6) { \\ }^{2} + (14 - 16) {}^{2} } [/tex]
[tex] = 7.3[/tex]
A restaurant equipment salesman is paid a 4% commission rate on his total sales.
One week he sells a total of $26,300 in product. What is his commission pay for
that week?
$5,260
O $1,052
$6,575
$10,520
The restaurant salesman will pay a commission of $1,052
How to calculate the amount of commission that will be paid ?Commission is the amount of money that is paid to a worker when a work is completed.
The commission rate of the total sales is 4%
= 4/100
= 0.04
The total sales for the week is $26,300
The commission that will be paid can be calculated as follows
= 26,300 × 0.04
= 1.052
Hence the amount of commission that will be paid is $1,052
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The area of a rectangle is 110 square units. Its length measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a un
it
The length of the diagonal of the Triangle is 14.86 units
What is Diagonal?
When two polygonal vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.
Given,
Area of Rectangle = 110square units
Length = 11units
Breadth = ?
Area of Rectangle = length x breadth
Breadth = Area of Rectangle / length
Breadth = 110 / 11
Breadth = 10units
Length of diagonal (Pythagoras Theorem)
H^2 = P^2 + B^2
H^2 = (11)^2 + (10)^2
H^2 = 121 + 100
H^2 = 221
H = [tex]\sqrt{221}[/tex]
H = 14.86 units
Hence, The length of its diagonal is 14.86 units
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