Function p gives the perimeter of an equilateral triangle of side length s. It is represented by the equation p(s)=3x
a. What does P(s)=60 mean in this situation?
b. Find a value of s to make the equation P(s) = 60 true.
Answers
Answer:
A) p(s) means that the perimeter of the triangle is 60 units.
B) A value to make the equation true is s = 20
Step-by-step explanation:
In the equation p(s) = 60, 60 represents the perimeter of the equilateral triangle.
To find a value of s that makes the equation p(s) = 60 true, plug in 60 as p(s) and solve for s.
p(s) = 3s
60 = 3s
20 = s
So, s = 20 will make the equation true
Related Questions
How many 20kobo make up #20
Answers
Answer:
100
Step-by-step explanation:
#20 naira - 20 * 100
= 2000kobo
2000/20
100
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A. Is the relation function? Explain.
Answers
The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2
What is the domain of a function?Domain is defined as the set of values of independent variables.
In the question, all x coordinates are domain.
What is the range of a function?In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.
The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.
hence, this graph is plotted from a function.
from the graph we get the domain as {-4, -2, 0, 2, 4}
the ranges are = {-3, -2, -1, 1, 3}
we get, y=3 for the value of x= 2
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A store purchased a set of golf clubs for $90.70 and marked it up 150%. During a sale, the
store marked it down 80%. What was the discount price of the set of golf clubs?
Answers
Answer:
$181.4
Step-by-step explanation:
Note,
purchase price = $90.70.initial markup of 150% = $90.70 * (150% or 150/100) + $90.70 = $226.75 ($136.05 + $90.70). Hence, this became the intended sale price wanted by the store.mark down (-) 80% = $226.75 * (80% or 80/100) = $181.4.Therefore, the store applied a discount price of $181.4 to the set of golf clubs.
simplify 3y-10y+y+7y
Answers
Answer: y
Step-by-step explanation:
For this, you would just add everything and then tag a y on the end.
3y-10y=-7y
-7y+y= -6y (y is the same thing as 1y)
-6y+7y= 1y which is just y
It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:
5x+2x+3y+5y
the answer would be 7x+8y (you cannot combine x and y)
Hope this helps :)
Answer: y
Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.
Solve for x
-22.3=x/3 -3.1
Answers
Answer:
-57.6=x
Step-by-step explanation:
-22.3= x/3-3.1
-19.2=x/3
-57.6=x
Find the value of x.
f(x) = 10^x; f(x) = 10^-3
4
-3
3
-4
Answers
Answer:
x=-3
Step-by-step explanation:
Given, f(x) = 10^-3 and f(x)=10^x
Compare the equations
10^-3=10^x
So, x=-3
How many cups are in 6.5 pints?
Answers
Answer:
13
Step-by-step explanation:
Answer:
13 cups
Step-by-step explanation:
2 cups = 1 pint
6.5 x 2 = 13
1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?
Answers
With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.
How is the total interest computed?We assume that there are monthly repayments and compounding interest on the car loan.
With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.
Car loan = $43,000
Down payment = $0
Fixed Annual Percentage Rate (APR) = 4.9%
Loan term = 5 years
Car Loan Calculator with monthly Repayment:
Payment = $809.49/month
Interest Paid =$5,569.67
Total Paid = $48,569.67
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HELP PLS ASAPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: C; 5.32
Step-by-step explanation: If you are short $5.32, then that is represented as -5.32. The opposite of -5.32 is +5.32 or just 5.32. I hoped this helped!
Ling and her friends are planning a trip to the Misty Falls water park. The employee Ling spoke to on the phone said the total cost for all 4 of them would be $76. This includes an entrance ticket and a $6 tube rental fee for each person. Which equation can you use to find c, the cost of an entrance ticket?
Answers
The equation can you use to find c, the cost of an entrance ticket is x=13.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Given that;
Total cost of 4 friends= $76
The cost of entrance ticket= $6
Now,
Based on the given conditions, formulate:
4 x (x+6)=76
Reduce the greatest common factor on both sides of the equation
x+6=19
Rearrange unknown terms to the left side of the equation:
x=19-6
Calculate the sum or difference:
x=13
Therefore, the equation will be x=13
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GPA vs. IQ
Predict the GPA for someone with an IQ of 100.
tu
4
35
y = 0.04% -0,8
3
.
25
GPA
2
15
1
05
20
40
80
100
120
60
IQ
Answers
Pretty sure its 3.2.......
Answer:
3
Step-by-step explanation:
edge 2021
An analysis indicated a two-tailed critical value of z = ±2.580. Approximately how much total probability would be in the tails?
Answers
A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 7 miles away from milepost 58. If m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?
Answers
Answer:
Step-by-step explanation:
The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:
m = 58 + 7
This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.
What is the slope of the graph of z - 2y=8
Answers
x-2y=8
-2y=8-x
Divide -2 on both sides: y = -8/2 + (-x/-2)
y = x/2 - 4 = (1/2)x - 4
Since m = 1/2, the slope is 1/2
What’s the 6th term of 23,92,368
Answers
Answer:
23552
Step-by-step explanation:
23, 92, 368... is a geometric sequence.
first term = a = 23
common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4
nth term = \(ar^n^-^1\)
6th term = \(23*(4)^6^-^1\)
\(=23*4^5\)
\(=23*1024\)
\(=23552\)
Hope this helps :)
Pls brainliest...
A cyclist traveled 140 miles each day for 6 days if he cycled for 8 hours each day what was the unit ratio of miles per hour
Answers
Answer:
Step-by-step explanation:
the cyclist traveled 140 miles, each day, for 8 hours
in a day he traveled 140/8=17.5 miles per hour
2. Which graph represents the solution set to the following system of inequalities?y +6 > (x + 1)^2 + 2-x+2<= -1/2y+3
Answers
Solution:
The inequalities are given below as
\(\begin{gathered} y+6>(x+1)^2+2 \\ -x+2\leq-\frac{1}{2}y+3 \end{gathered}\)Using a graphing calculator, we will have the graph be
Please answer I need this asap
Answers
Answer:
84
Step-by-step explanation:
The equation that models this situation is 1110 = 15x + 150 where x = cameras sold (note that this doesn't include the first 20 cameras, we'll add those on at the end). Let's solve for x!
1110 = 15x + 150
960 = 15x
x = 64 so the answer is 64 + 20 = 84 cameras.
A student ran out of time on a multiple-choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices –a,b,c,d – and only one correct answer. What is the probability that he answered both of the problems correctly?
Do not round your answer.
Answers
\({\huge{\fbox{\tt{\blue{ANSWER}}}}}\)
______________________________________
The probability of answering a single problem correctly by randomly guessing is 1/4, since there are 4 answer choices and only one correct answer. Since the student randomly guessed the answer to both problems, the probability of answering both problems correctly is:
(1/4) x (1/4) = 1/16
Therefore, the probability that the student answered both problems correctly is 1/16.
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answers
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
Determine the probability of rolling a die and getting a 2
then a 5.
Answers
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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Bob has a bag full of dimes and quarters.
He has 20 coins worth $3.80. Which system of
equations could be used to determine the
number of dimes, d, and the number of
quarters, q, in Bob's bag?
Answers
Answer:
x+y=20
.10x+.25y=3.80
Step-by-step explanation:
Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
Answers
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Answers
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Answers
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
PLEASE HELP THIS IS DUE IN 30 MINUTES I'LL BLESS YOUR FIRSTBORN
Complete a two-column algebraic proof solving your equation.
Post your equation and two-column proof
Answers
Answer:
Step-by-step explanation:
1. Find the system for 2x+3y=5 and 3x+y=6 using substition.
I will solve your system by substitution.
(You can also solve this system by elimination.)
3x+y=6;2x+3y=5
Step: Solve3x+y=6for y:
3x+y+−3x=6+−3x(Add -3x to both sides)
y=−3x+6
Step: Substitute−3x+6foryin2x+3y=5:
2x+3y=5
2x+3(−3x+6)=5
−7x+18=5(Simplify both sides of the equation)
−7x+18+−18=5+−18(Add -18 to both sides)
−7x=−13 (Divide both sides by -7)
x=\(\frac{13}{7}\)
Step: Substitute \(\frac{13}{7}\) forxiny=−3x+6
y=−3x+6
y=−3(\(\frac{13}{7}\))+6
y=\(\frac{3}{7}\)
2. Let's solve your system by elimination.
3x+y=6;2x+3y=5
Multiply the first equation by -3,and multiply the second equation by 1.
−3(3x+y=6)
1(2x+3y=5)
Becomes:
−9x−3y=−18
2x+3y=5
Add these equations to eliminate y:
−7x=−13
Then solve−7x=−13for x:
−7x=−13 (Divide both sides by -7)
x=\(\frac{13}{7}\)
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x+y=6
Substitute\(\frac{13}{7}\) forxin3x+y=6
3(\(\frac{13}{7}\))=6 (Simplify both sides of the equation)
y+39/7+−39/7=6+−39/7 (Add (-39)/7 to both sides)
y=\(\frac{3}{7}\)
What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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What is the equation to 6x=0.4
Answers
Answer:
Step-by-step explanation:
15
Quadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
Answers
Step 1.
Find the ratio
MJ is similar to QN
\(\frac{33.6}{8}=4.2\)Step 2.
Find OP
LK is similar to OP
\(OP=LK\cdot4.2=5\cdot4.2=21\)Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. D A R B The two figures shown above are congruent. Identify the corresponding sides and angles.
Answers
Answer:
Oh i solved this before.
Step-by-step explanation: