Answer: 2(7c^2+y)
Step-by-step explanation:
PLEASE HELP ME!! The 7th grade has already saved $60 for a field trip to Hershey Park. They need to raise at least$720 in order to pay for the trip. They decide to sell T-shirts to raise money. They earn $12toward the trip for every T-shirt they sell.Write the inequality that represents this situationHow many T-shirts must they sell to eam at least $720? Show how you determined your answer
We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.
They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.
Then, 12x has to be at least equal to 720-60=660:
\(12x\ge660\)Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:
\(\begin{gathered} 12x\ge660 \\ \frac{12}{12}x\ge\frac{660}{12} \\ x\ge55 \end{gathered}\)They have to sell at least 55 T-shirts.
Can someone help me solve this?!
Please help me!!!!!!!! Please
Answer:
Step-by-step explanation:
I want to tell you something go to the App Store and download this app it’ll help you a lot it’s called (Cymath) it will give you the answers for any question you want and it will explain for you step by step and thank you !
Answer:
Step-by-step explanation:
Solve the system by elimination. 4x + 3y = 0 8x+6y= 6
The solution of the equations 4x + 3y = 0 and 8x + 6y = 6 do not exist.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
If the slopes are different then the system has one solution.If the slopes are equal but have different intercepts then the system has no solution.If the slopes and intercepts are equal then the system has infinitely many solutions.The equations are given below.
4x + 3y = 0 ...1
8x + 6y = 6 ...2
The slope of the equation of the lines is the same that is - 4/3. Then the lines are parallel lines.
Thus, the solution of the equations 4x + 3y = 0 and 8x + 6y = 6 do not exist.
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What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
a farmer plans to fence a rectangular pasture adjacent to a river (see figure). the pasture must contain square meters in order to provide enough grass for the herd. no fencing is needed along the river. what dimensions will require the least amount of fencing?
Answer:
A square is the most symmetric shape with a given area, it is the best approximation to a circle and thus requires the least amount of fencing among all rectangles with the same area.
Step-by-step explanation:
Let's assume that the length of the rectangular pasture is x meters and the width is y meters, so the area of the pasture is A = xy square meters. We want to find the dimensions that require the least amount of fencing.
Since no fencing is needed along the river, the length of the pasture can be any value greater than or equal to the square root of A (i.e., x ≥ √A). We can use this information to express the width of the pasture in terms of the length:
y = \(\frac{A}{x}\)
The amount of fencing required for the perimeter of the rectangular pasture is given by:
P = 2x + y
Substituting y = \(\frac{A}{x}\), we get:
P = 2x + \(\frac{A}{x}\)
To find the dimensions that require the least amount of fencing, we can take the derivative of P with respect to x and set it equal to zero:
\(\frac{dP}{dx}\) = 2 - \(\frac{A}{x^{2}}\) = 0
Solving for x, we get:
x = √\(\frac{A}{2}\)
Substituting this value of x back into the expression for y, we get:
y = √\(\frac{A}{2}\)
Therefore, the dimensions that require the least amount of fencing are a square pasture with side length equal to the square root of half the area:
x = y = √\(\frac{A}{2}\)
This result is known as the isoperimetric inequality, which states that among all shapes with a given area, a circle requires the least amount of perimeter (i.e., fencing).
Since a square is the most symmetric shape with a given area, it is the best approximation to a circle and thus requires the least amount of fencing among all rectangles with the same area.
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On the last day of the schoolbook fair, all pencils were one set price and all books were a different set price. Sammy
bought 2 pencils and 6 books for $14. Belle bought 4 pencils and 1 book for $8. What was the set price for a pencil?
What was the set price for a book?
Answer: wee wee woo woo peep pop doo doo
Step-by-step explanation:You have to be a cool kid to know answer
Answer: Ax+By=c
2x+6y=14
4x+1y=8
x=1.54
y=1.82
Step-by-step explanation:
The answer if any body knows it
Answer:
\(A=\pi(336)\)
\(A=1055.575\)
Step-by-step explanation:
1. Approach
One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.
2. Find the area of the quarter circle
The following formula can be used to find the area of a circle,
\(A_c=(\pi)(r^2)\)
Since one is trying to find the area of a quarter of a circle, one must multiply this formula by (\(\frac{1}{4}\)). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter (\(\pi\)) represents the number (\(3.1415...\)).
\(A_c=\frac{1}{4}(\pi)(r^2)\)
Substitute the given values into the formula and simplify to evaluate,
\(A_c=\frac{1}{4}(\pi)(r^2)\)
\(A_c=\frac{1}{4}(\pi)((8)^2)\)
\(A_c=\frac{1}{4}(\pi)(64)\)
\(A_c=(\pi)(16)\)
\(A_c\approx 50.2655\)
3. Find the volume of the prism
Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,
\(A=A_c(l)\)
Substitute and simplify to evaluate,
\(A=(\pi)(16)(21)\)
\(A=\pi(336)\)
\(A=1055.575\)
please provide a step by step solution wotj explanation
14. Given a standard normal distribution, the area under the curve which lies to the right of z=1.43 is a) 0.9236 b) 0.0764 c) 0.9971 d) 0.0029
The area under the curve to the right of z = 1.43 in a standard normal distribution is 0.0764. In a standard normal distribution, the total area under the curve is equal to 1.
Since the distribution is symmetric, the area to the left of any given z-score is equal to the area to the right of the negative of that z-score.
To find the area to the right of z = 1.43, we can use the standard normal distribution table or a statistical calculator. Looking up the value of 1.43 in the table, we find the corresponding area to the left of z = 1.43 is 0.9236.
Since the area under the curve is equal to 1, the area to the right of z = 1.43 is equal to 1 - 0.9236 = 0.0764.
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How do you combine like terms in Algebra 1?
Combining like terms is an essential skill in Algebra 1. It involves simplifying algebraic expressions by adding or subtracting terms that have the same variables and exponents. The goal is to simplify the expression by reducing it to its simplest form.
To combine like terms, we need to follow a few steps. Here is a step-by-step guide:
Identify the like terms: Look at the expression and find the terms that have the same variables and exponents. For example, in the expression 3x + 5x - 2x, all three terms have the variable x with an exponent of 1, so they are like terms.
Add or subtract the coefficients: Once you have identified the like terms, add or subtract their coefficients. The coefficient is the number that is multiplied by the variable. For example, in the expression 3x + 5x - 2x, the coefficients are 3, 5, and -2. Adding them together gives us 6x.
Write the simplified expression: After combining the like terms, write the simplified expression. In the example above, the simplified expression is 6x.
Here is another example:
4a + 2b - 3a + b
In this expression, the like terms are 4a and -3a (both have the variable a). We can subtract the coefficients to get a + 2b. The final simplified expression is a + 2b.
It is important to note that we can only combine terms that have the same variables and exponents. For example, we cannot combine 3x^2 and 4x because they have different exponents.
In summary, combining like terms is a basic skill in Algebra 1. It involves identifying terms that have the same variables and exponents, adding or subtracting their coefficients, and writing the simplified expression. This skill is essential for solving equations, simplifying expressions, and graphing functions.
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Find the first five terms of the recursive sequence.
The first five terms of the recursive sequence are 4.5, -27, 162, -972 and 5832
How to determine the first five terms of the recursive sequence.From the question, we have the following parameters that can be used in our computation:
an = -6a(n - 1)
a1 = -4.5
The above definitions imply that we simply multiply -6 to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a(2) = -6 * 4.5 = -27
a(3) = -6 * -27 = 162
a(4) = -6 * 162 = -972
a(5) = -6 * -972 = 5832
Hence, the first five terms of the recursive sequence are 4.5, -27, 162, -972 and 5832
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can I get help please
state if the three sides lengths form a right triangle.
12, square root of 50, 14
Answer:
Related
A triangle has sides with lengths of 9 km, 11 km, and 15 km. Is it a right angle?
A triangle has sides with lengths of 9 km, 11 km, and 15 km. Is it a right triangle?
a^2 +b^2 = c^2
9^2 + 11^2 =? 15^2
81 + 121 =202 < 225
The triangle is not right, it is obtuse because the sum of the squares of the two shorter sides is less than the square of the largest sides.
Step-by-step explanation:
The right triangle calculator will help you find the lengths of the sides of a right-angled triangle. This triangle solver will also teach Pythagorean theorem calculator helps you find out the length of a missing leg or hypotenuse of a right triangle.
If two sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side? Explain your answer thoroughly. if we donate the third side as c then.......
enter as a double inequality
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
noint value are on the test
Let X be the number of questions worth 5 points, and let Y be the number of questions worth 2 points
(Answers are in the picture)
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Has 29 problems
then
x + y = 29
x be the number of worth 5 points questions:
5x
y be the number of worth 2 points questions
2y
the total both worth is 100 points
then:
5x + 2y = 100
Answer:
x + y = 29 5x + 2y = 100
Answer:
answer in picture
Step-by-step explanation:
20 points
14 The base of a rectangular prism has a length of 15 inches and a width of 13 inches.
What is the area of this base of the prism in square inches?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
195 square inches
28 square inches
56 square inches
Answer:
195 sq. in.
Step-by-step explanation:
area = length * width
area = 15 in. * 13 in. = 195 sq. in.
Please help im having problem
Answer:
24
Step-by-step explanation:
Do i need to explain ??????
If the variable Y= 1.8 Solve this algebraic expression Y(3.35)
Answer:
1.8(3.35)=6.03
Step-by-step explanation:
Tamar's house is greater than 472 and less than 500 which number can be on Tamar's house?
490
472 <490<500
it fits the criteria
Levi buys a one-pint bottle of juice for $1.76. What is the unit rate
of the juice per fluid
qunce
This week, Tori ate 600 g of cheerios cereal.
That was 150% as much cereal as she ate last
week. How much cereal did Tori eat last week?
600 g is 150% of what number?
Step-by-step explanation:
600=150%
?= 100%
crossmultiplication
=400
600g=150%x
600 is therefore 150% of 400
Can someone help me with this?
Answer:
Solution given:
<J=90°[tangent to the circle is perpendicular to radius]
In right angled triangle ∆KJL
base[b]=7
hypotenuse [h]=x
perpendicular [p]=19
by using Pythagoras law
p²+b²=h²
19²+7²=x²
x=√410
x=20.248
The price of an item has risen to $301 today. Yesterday it was $140 Find the percentage increase.
Answer: 115%
Step-by-step explanation: ur welcome
Answer:
53.2%
Step-by-step explanation:
301x53.2%= 160.132 = 160.13
301-160.13=140.87
About 53.2%
Simplify:
25 x 5 - 4x 17 +16=8 - 7
CentraForce Corporation began with an investment by shareholders of $50,000 In its first year, the income earned was $5,000 Sahreholders receives $2.000 in dividend What would the balance of the equity section of its balance sheet show?
The balance of the equity section of the balance sheet of the Centra Force Corporation would show $53,000.
To calculate the balance of the equity section of the balance sheet of the Centra Force Corporation, we need to understand what the equity section is. The equity section of a balance sheet represents the residual interests of shareholders in the assets of a corporation after deducting liabilities. The balance of the equity section of the balance sheet of the Centra Force Corporation can be calculated by the following steps:
Firstly, Calculate the balance of retained earnings
Retained earnings refer to the portion of a corporation's profits that have been reinvested in the business instead of being paid out as dividends. Retained earnings are calculated as follows:
Retained Earnings = Net Income - Dividends
In the first year, the CentraForce Corporation's net income was $5,000, and the dividends paid to shareholders were $2,000. Therefore,
Retained Earnings = $5,000 - $2,000= $3,000
Then, Calculate the balance of common stock
Common stock represents the money that investors have invested in the corporation in exchange for ownership. In this case, the investors invested $50,000. Therefore, the balance of common stock is $50,000.
Calculate the balance of the equity section
The balance of the equity section of the balance sheet is the sum of the balance of common stock and the balance of retained earnings. Therefore, the balance of the equity section of the balance sheet of the Centra Force Corporation is:
Balance of Equity Section
= Balance of Common Stock + Balance of Retained Earnings
= $50,000 + $3,000
= $53,000
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4.
Use the FlashCard statement to answer the question below.
ACCOUNT INFORMATION
Account Number
TRANSACTIONS
9 MAY
12 MAY
15 MAY
18 MAY
21 MAY
SUMMARY
3291684271 Fanelli Furs
594683219 Brooklyn Pets
7677095385 Maple Garage
8765713281 PAYMENT
321447162 Caruso's Restaurant
Previous
Balance
$420.50
4-10700000
Total Credit Line
Total Avalable Credit
Payments
New
/ Credits Purchases
$150.00
$1.227.24
$3,000.00
$1,661.51
Billing Date
Late
Charge
$0.00
Average
Daily
Balance
$1,199.97
30 May Payment Due
Finance
Charge
$19.80
#Days
in Billing
Cycle
30
8 Jun
DEBITS/CREDITS (-)
New
Balance
$1,517,54
APR
19.8%
$975.00
$32.50
$178.21
$150.00
$41.53
Minimum
Payment
$30.00
Monthly
Periodic
Rate
1.65%
What is the sum of all Payments made during the billing cycle?
The sum of all Payments made during the billing cycle is $975.00
What is the subtractions?
A subtraction is a mathematical operation that is used to find the difference between two numbers. It is represented by the symbol "-" or the word "minus". Subtraction is the inverse operation of addition, meaning that if you add two numbers and then subtract one of those numbers, you should end up with the original value of the other number.
In the FlashCard statement provided, the "DEBITS/CREDITS" section lists all the transactions made during the billing cycle, including payments, purchases, and credits. The payments are listed as negative numbers, indicating that they are subtractions from the balance. The sum of all the payments is calculated by adding up all the negative numbers listed in this section. In this case, it is $975.00.
It's also important to note that this section of the statement lists the transaction made on different days, in the case provided from 4 May to 21 May.
In summary, the sum of all Payments made during the billing cycle is $975.00 which is the total of payments made during that period.
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The school store is selling notebooks for $1.50 and T-shirts for $10.00 to raise money for the school. They have a goal of raising $250 to buy supplies for the science lab. If they have sold 60 notebooks, how many T-shirts will they need to sell to reavh their goal?
Answer:
They will need to sell 16 T-shirts to reach their goal
Step-by-step explanation:
Let us solve the question
∵ The school store is selling notebooks for $1.50 and T-shirts for $10.00
∴ The price of each notebook = 1.50 dollars
∴ The price of each T-shirt = 10.00 dollars
∵ They have sold 60 notebooks
∴ The number of notebooks sold = 60
∵ They have a goal of raising $250
∴ The total money they want to earn = 250 dollars
Assume that they will sell x T-shirt to reach their goal
Multiply the no. of notebooks by the price of each and the no. of T-shirts by the price of each, then add the two products and equate the sum by 250
∵ 1.50 (60) + 10.00 (x) = 250
∴ 90 + 10x = 250
→ Subtract 90 from both sides
∵ 90 - 90 + 10x = 250 - 90
∴ 10x = 160
→ Divide both sides by 10 to find x
∴ x = 16
∴ The number of T-shirts = 16
∴ They will need to sell 16 T-shirts to reach their goal
James lives in san francisco and works in mountain view. in the morning, he has 333 transportation options (bus, cab, or train) to work, and in the evening he has the same 333 choices for his trip home.
The probability that James will take the same mode of transportation twice is 1/9.
To find the probability that James will take the same mode of transportation twice, we need to calculate the probability of each individual transportation option and then multiply them together.
In the morning, James has 3 transportation options: bus, cab, or train. Since he randomly chooses his ride, the probability of selecting any particular option is 1 out of 3 (assuming all options are equally likely).
Therefore, the probability of James selecting the same transportation mode in the morning and evening is 1/3.
Hence, the probability that James will take the same mode of transportation twice is 1/3 multiplied by 1/3:
P(same mode of transportation twice) = 1/3 * 1/3 = 1/9.
Therefore, the probability that James will take the same mode of transportation twice is 1/9.
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A right triangle and two of its side lengths are shown in the diagram. 11.9 cm 7.9 cm x cm Which measurement is closest to the value of x in centimeters?
6.3
4.0
14.3
19.8
The measurement that is closest to the value of x, in centimeters, is given as follows:
14.3.
How to obtain the value of x?In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.
Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.
The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.
Then the length of x is calculated as follows:
x² = 11.9² + 7.9²
x = square root of (11.9² + 7.9²)
x = 14.28.
Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.
Missing InformationWe suppose that 11.9 cm and 7.9 cm are the measures of the legs.
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Which functions are equivalent to f (x) = rootindex 4 startroot 162 endroot superscript x? check all that apply.
a. f (x) = 162 superscript startfraction x over 4
b. f (x) = (3 rootindex 4 startroot 2 endroot) superscript x
c. f (x) = 9 rootindex 4 startroot 2 endroot superscript x
d. f (x) = 126 superscript startfraction 4 over x
e. f (x) = left-bracket 3 (2 superscript one-fourth baseline) right-bracket superscript x
The correct options for the given function are-
a. f (x) = 162 superscript startfraction x over 4b. f (x) = (3 rootindex 4 startroot 2 endroot) superscript xe. f (x) = left-bracket 3 (2 superscript one-fourth baseline) right-bracket superscript x.Explain the meaning of the term function?A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.For the stated function;
f (x) = rootindex 4 startroot 162 endroot superscript x
This can be written as;
f(x) = ⁴√162ˣ
Using the property of indices;
ⁿ√aˣ = aˣ/ⁿ
(aˣ)ⁿ = aⁿˣ
f(x) = ⁴√162ˣ = 162ˣ/⁴
The number 162 can be written in form of the factors;
162 = 2x3⁴
Put the values;
f(x) = ⁴√(2x3⁴)ˣ
= (2x3⁴)ˣ/⁴
= (2x3⁴)⁽¹/⁴⁾ˣ
f(x) = (3 ⁴√2)ˣ
Now,
f(x) = (3 ⁴√2)ˣ = (3.(2¹/⁴))ˣ
Thus, the expression equivalent to the functions are-
f(x) = ⁴√162ˣ
f(x) = (3 ⁴√2)ˣ
f(x) = (3.(2¹/⁴))ˣ
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