Combine like terms
4y-2y=24-6
2y=18
y=9
A web site charges $0.99 to download a game and a 12.49 membership fee.write an expression that gives the total cost in dollars to download a g games
Hello!
To write this equation we will use c to represent the total cost, and g to represent however many games you download.
c=12.49+0.99g
The constant rate is 12.49, that will never increase or change in our equation.
Depending on how many games you download, that will be the rate that affects our total cost.
If you only purchase one game, you only spend $13.48. Where as if you buy 10 games, you spend $22.39.
Nolan deposited $2300 into a savings account for which interest is compound weekly at a rate of 2.12%.
How much interest will he earn after 7 years?
Answer:
The answers is 367.87
Step-by-step explanation:
The interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that simple interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
For the considered case, the unit of time is weekly.
In 7 years, there can be at least 1 leap year, and at max 2 leap years.
In 7 years, therefore, the number of days are between [tex]6 \times 365 + 366[/tex] and [tex]6 \times 365 + 366+1[/tex] or say in between 2556 and 2557
Since each week has 7 days, therefore, the number of weeks these days will have is approx [tex]\dfrac{2556}{7} \approx 365.14[/tex] (assumed there are 2556 days in 7 years).
This approximates to 365 weeks (integer quantity)
Thus, we get:
Unit of time is weekRate of interest per week = 2.12%Type of interest applied = Compound interestUnits of week for which interest is applied is approx 365Initial amount deposited = $2300Thus, the amount of interest that Nolan will earn is approx:
[tex]CI = P(1 +\dfrac{R}{100})^T - P\\\\CI \approx 2300(1 + 0.0212)^{365} - 2300 \approx 2300 \times 2115.65 - 2300\\CI \approx \$4,863,465[/tex]
Thus. the interest Nolan will earn after 7 years of time lapse, with the given figures, is $4,863,465 approx.
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Which relation is a function?
Its the one shaped like a V
How much would it cost to buy 3 medium sodas and 2 hot dogs
To start off you need to figure out how much money each item costs. Now get out your calculator because it will make this process go much faster.
EXAMPLE:
If your sodas cost $2.25 EACH you need to do the following math equation
2.25 X 3 = 6.75 witch is the total you would be paying in this situation.
HOT DOGS EXAMPLE:
Lets say that your hotdogs are $4.75 PER DOG. You just need to follow the same steps above.
4.75 X 2 = 9.5 but thats not how we write money so it would be $9.50
Hope this helps,
Daniel
Answer:
depends what price it is
Step-by-step explanation:
6. Solve: A chemist needs 30 ounces of 50% hydrochloric acid solution. In her lab, she has some 80% hydrochloric acid solution, some 60% hydrochloric acid solution, and some 40% hydrochloric acid solution. She must use 2 ounces of the 80% solution. How many ounces each of the 40% and 60% solutions must be mixed with the 2 ounces of 80% to obtain the 30 ounces of 50% hydrochloric acid solution she needs?
Final answer:
To prepare 30 ounces of a 50% hydrochloric acid solution, the chemist must mix 17 ounces of the 40% solution with 11 ounces of the 60% solution and 2 ounces of the 80% solution.
Explanation:
The student needs to mix different concentrations of hydrochloric acid to end up with 30 ounces of a 50% solution. We know that 2 ounces of the 80% solution are used, so the remaining 28 ounces must be a mix of the 40% and 60% solutions.
Let x represent the ounces of the 40% solution and 30 - 2 - x, or 28 - x, represent the ounces of the 60% solution. Setting up the equation based on mass of pure hydrochloric acid:
0.80(2) + 0.40(x) + 0.60(28 - x) = 0.50(30)Solving for x:
1.6 + 0.40x + 16.8 - 0.60x = 15-0.20x + 18.4 = 15-0.20x = -3.4x = 17The chemist needs to use 17 ounces of the 40% solution and 11 ounces of the 60% solution, combining them with the 2 ounces of the 80% solution to obtain 30 ounces of 50% hydrochloric acid.
Celina babysat for 5 hours and earned 27
If you're asking how much she got paid per hour, the answer would be $5.40.
27 / 5 = 5.4
omar worked 29 hours last month and earned $9 per hour. he spent $18 of his earnings since then. how much money does he have left??
To solve, we must find out how much he earned in the month. To do this, we do 29 x 9. This is done to find out how much was earned. Omar earned $261 in the month. Now we do 261-18 to find out how much is left after spending 18 dollars. We can see that Omar has $243 dollars remaining.
Which shows the phrase the sum of a number and 8 is a variable expression?
n + 8
n - 8
8n + 8
8n
"The sum of" means addition
Let "a number" = n
n + 8, or (A) is your answer
hope this helps
A part of a line with endpoints on both ends is a(n):
I believe it's a segment.
In 2 hours the minutes hand of a clock rotates through an angel of how many degrees?
Yes it definitely is 720 degrees.
1 round= 360 degrees
2 rounds= 2 X 360 = 720 degrees
:-)
Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500.
If he makes no other deposits or withdrawals, how much money is in Javier’s account at the end of three months?
Enter your answer in the box.
282.50
if his bank charges him $7.50 each month for a balance below of $500
then Javier who did not deposit or withdraw (added or subtracted) but had a total of 305 would be charged 7.50 for those 3 months
305 - 7.50 (3) = X
305 - (22.5)
282.50
Answer: He had $277.50 at the end of 3 months.
Step-by-step explanation:
Since we have given that
Amount he had in his bank account = $305
Bank charges each month = $7.50
Number of months = 3
So, Bank charges for 3 months would be
[tex]7.50\times 3\\\\=\$22.5[/tex]
So, Amount left in his bank account would be
[tex]\$305-\$22.5\\\\=\$277.50[/tex]
Hence, he had $277.50 at the end of 3 months.
What measures acceleration
I mean - accelerometers do, are you sure this is the correct place to post this question?
s the line for the equation y = 1 horizontal or vertical? What is the slope of this line? Select the best answer.
The line is horizontal. The slope is 0.
The line is horizontal. The slope is 1.
The line is vertical. The slope is undefined.
The line is vertical. The slope is 0.
It is horizontal and has a slope of 0.
The equation y = 1 is a horizontal line with a slope of zero.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line or linear system is given below.
y = 1
The above equation is a horizontal line with a slope of zero.
Thus, the correct option is A.
The graph is given below.
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Simplify the expression. Write your answer as a power. (2/3)^2⋅(2/3)^6
(2/3)^2⋅(2/3)^6 = (2/3)^(2+6) = (2/3)^8
When we have the same thing being multiplied by itself with a different exponent on it, we add the two exponents.
(a^b)*(a^c) = a^(b+c)
Final answer:
The simplification of the expression [tex](2/3)^2\times (2/3)^6[/tex] is obtained by adding the exponents, resulting in [tex](2/3)^8[/tex].
Explanation:
To simplify the expression[tex](2/3)^2\times (2/3)^6[/tex], we need to remember the rule of exponents which states that when we multiply two powers with the same base, we add the exponents. So in this case, we have the base (2/3) and we will add the exponents 2 and 6 together.
[tex](2/3)^2 \times (2/3)^6 = (2/3)^{(2+6)} = (2/3)^8.[/tex]
To write the answer as a power, we simply keep the same base of 2/3 and use the sum of the exponents as the new exponent. Therefore, the simplified expression is written as a power: [tex](2/3)^8[/tex]
A total of 336 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
A total of 336 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold then the number of adult tickets sold = 112
Let's denote the number of adult tickets sold as 'A' and the number of student tickets sold as 'S'.
We are given two pieces of information:
1. The total number of tickets sold is 336: A + S = 336.
2. The number of student tickets sold was two times the number of adult tickets sold: S = 2A.
Now, we can use the second equation to substitute the value of 'S' in terms of 'A' into the first equation:
A + 2A = 336.
Combine the like terms:
3A = 336.
Now, isolate 'A' by dividing both sides by 3:
A = 336 / 3.
A = 112.
So, the number of adult tickets sold (A) is 112.
In summary, to find the number of adult tickets sold, we set up equations based on the given information and then solve for the variable representing the number of adult tickets (A).
By substituting the value of 'A' back into one of the equations, we can also find the number of student tickets sold (S).
In this case, 112 adult tickets and 224 student tickets were sold to make a total of 336 tickets.
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The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds, what is the volume under a pressure of 30 pounds?
a) 45 cubic cm b) 20 cubic cm c) 12.8 cubic cm
Answer : C) 12.8 cubic cm
The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p)
If y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]
where k is constant of proportionality
v is inversely proportional to p then [tex]v=\frac{k}{p}[/tex]
the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds
Given : v= 24 and p = 16. We need to find out k
[tex]24=\frac{k}{16}[/tex]
Multiply by 16 on both sides
k = 384
Now we find out the volume under a pressure of 30 pounds
[tex]v=\frac{384}{30}[/tex]
[tex]v=\frac{128}{10}[/tex]= 12.8 cubic cm
Under a pressure of 30 pounds, the gas would occupy a volume of 12.8 cubic centimeters, as determined by applying Boyle's law, which states that volume and pressure are inversely proportional in conditions of constant temperature.
The volume (v) of a gas in a container at a constant temperature varies inversely as the pressure (p). This is a demonstration of Boyle's law, which states that pressure and volume are inversely proportional (P = k/V) when temperature is held constant. To find the new volume when the pressure changes, we can set up a proportion based on the original conditions provided: 24 cm³ at 16 pounds pressure. We set the initial volume and pressure as 24 cm³ and 16 lbs, respectively, and then solve for the new volume when the pressure is 30 lbs.
To find the volume under a pressure of 30 pounds, we use the equation:
V1 * P1 = V2 * P2
Where V1 is the original volume, P1 the original pressure, V2 the new volume, and P2 the new pressure. Plugging in our known values:
24 cm³ * 16 lbs = V2 * 30 lbs
Solving for V2, we get:
V2 = (24 cm³ * 16 lbs) / 30 lbs
V2 = 384 cm³ / 30 lbs
V2 = 12.8 cm³
Therefore, under a pressure of 30 pounds, the gas would occupy a volume of 12.8 cubic centimeters.
How many centimeters are in 1 mile? Use the equalities 1 mile = 5280 feet; 1 foot = 12 inches; and 1 centimeter = 0.394 inches. Student Selected Incorrect A. 5280 ∕ (12 x 0.394) cm Disabled B. 5280 x 12 x 0.394 cm Disabled C. (5280 x 12 ∕ 0.394) cm Disabled D. (5280 + 12 + 0.394) cm
A part of a line with endpoints on both ends is a(n):
Answer: line segment
Step-by-step explanation:
11 15/26 + [-17 5/13] =
11 15/26 + [-17 5/13] =
[tex]11 \frac{15}{26} = \frac{301}{26}[/tex]
[tex]-17 \frac{5}{13} = -\frac{226}{13}[/tex]
[tex]\frac{301}{26} - \frac{226}{13}[/tex]
To subtract two fractions the denominators should be same
Least common denominator = 26
We multiply second fraction by 2
[tex]\frac{301}{26} - \frac{452}{26}[/tex]
[tex]\frac{301-452}{26}[/tex]
[tex]\frac{-151}{26}[/tex]
The model is 18.5 inches wide and 36.5 inches tall. If the actual building is 370 feet wide, what's its height?
I got 750.278... might be wrong
Answer:
It's 730 feet
Step-by-step explanation:
i hate math. Expand 4(-2y + 3).
i think its -8y + 12
Answer:
-8y + 12
Step-by-step explanation:
If interest compound at 20% per year how long will it take 50000 to accumulate to 86400
To find the time it takes for an amount to accumulate with compound interest, we can use the formula A = P(1 + r/n)^(nt). In this case, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.
Explanation:To find the time it takes for an amount to accumulate with compound interest, we can use the formula:
A = P(1 + r/n)^(nt)
where:
A is the final amountP is the principal (initial amount)r is the interest rate (in decimal form)n is the number of compounding periods per yeart is the time in yearsIn this case, we have:
50000(1 + 0.20/1)^(1*t) = 86400
Dividing both sides of the equation by 50000, we get:
(1 + 0.20)^t = 1.728
Using logarithms, we can solve for t:
t = log(1.728) / log(1.20)
t ≈ 2.56
Therefore, it will take approximately 2.56 years for $50000 to accumulate to $86400 with a 20% compound interest rate.
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Two of the angles in a triangle measure 23° and 8°. What is the measure of the third angle?
The 3 inside angles of a triangle equal 180 degrees.
You are given 23 and 8 for two of them.
Subtract the 2 given angles from 180 to find the 3rd angle.
3rd angle = 180 -23 - 8 = 149 degrees.
What are 5 fractions that can simplify to 2/5
4/10
6/15
18/45
8/20
16/40
Which inequality represents the graph below?
the answer is x > -2
x is greater then -2 and that is the 3 one
A quadratic function has a line of symmetry at x=-3.5 and zero at -9 what is the distance from the given zero to line of symmetry
If a quadratic function has zero at x=-9, then point (-9,0) lies on the graph of quadratic function.
A line of symmetry has equation x=-3.5 that is x+3.5=0.
Use formula for the distance from point [tex](x_0,y_0)[/tex] to the line AX+By+C=0:
[tex]d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}.[/tex]
Thus,
[tex]d=\dfrac{|-9+3.5|}{\sqrt{1^2+0^2}}=5.5.[/tex]
Answer: the distance is 5.5 units.
Answer:
5.5
Step-by-step explanation:
Estimate the product of 76 × 46 by rounding both numbers to the nearest ten before multiplying.
4000. 76 rounds to 80 and 46 rounds to 50 so 80 x 50 is 4000
slope intercept of (2,1) and (4,0)
A jug holds 4.8 liters. How many milliliters does it hold? Enter your answer in the box.
Answer:
The jug will hold 4,800 milliliters.
Step-by-step explanation:
Each liter is 1000 milliliters, and 4.8 • 100 = 4,800
The jug holds 4800 milliliters. The conversion factor is that 1 liter is equal to 1000 milliliters.
Explanation:The subject of this question is based on the concept of volume conversion, specifically from liters to milliliters. This falls within the field of Mathematics. In the metric system, volume can be measured in cubic meters (m³), liters (L), and milliliters (mL). These units of volume are used in different scenarios depending on the magnitude of the volume to be measured. One liter (L) is equal to 1 cubic decimeter (dm³), or 1,000 cubic centimeters (cm³).
One common metric conversion is from liters to milliliters. This is because 1 Liter equals 1000 milliliters.
Therefore, if a jug holds 4.8 liters, we can find the equivalent volume in milliliters by multiplying the volume in liters by 1000. In this case, 4.8 liters * 1000 equals 4800 milliliters
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Multiply. What is the value of the second partial product? 26 × 107
the product
26 x 107=2,782
Answer:
2782
Step-by-step explanation: