Setting up algebraic equations to represent the costs of each club, one can solve for the number of months where the costs are the same. The cost of both health clubs is equal for 11 months.
Explanation:In mathematics, problems like this can be solved using algebra, setting the cost of club 1 equal to the cost of club 2 and then solving for the variable, in this case, the number of months for which the costs are equal. Club 1 charges a $44 sign-up fee and $30 per month, which can be written as 44 + 30m (where 'm' represents the number of months). Club 2 charges a $99 sign-up fee and $25 per month, which can be written as 99 + 25m. Set these two equations equal: 44 + 30m = 99 + 25m and solve for m. Subtract 25m from both sides to get 5m = 55, then divided both sides by 5 to find m = 11. So, the cost of membership at these two health clubs is the same for 11 months.
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The Six members of the homecoming decorating committee want to make 525 people flowers for the homecoming dance each flower takes 4 1/2 minutes to make about how long will each member of the committee have to spend making flowers
the answer is 2362 1/2 minutes
To find out how long each member of the committee will have to spend making flowers, we need to divide the total time needed to make the flowers by the number of committee members.
Explanation:To find out how long each member of the committee will have to spend making flowers, we need to divide the total time needed to make the flowers by the number of committee members.
Each flower takes 4 1/2 minutes to make, so the total time needed is 525 * 4 1/2 minutes. We can convert 4 1/2 minutes to 4.5 minutes, and then multiply it by 525 to get the total time needed.
Finally, we can divide the total time by the number of committee members (6) to find out how long each member will have to spend making flowers.
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At midnight, the temperature was 30 degrees F. By 6:00 a.m., it had dropped 5 degrees and by noon, it had increased by 11 degrees. What was the temperature at noon?
Answer: 36 degrees
Step-by-step explanation:
subtract 5 from 30=25
add 11 to 25
25+11=36
Considering the temperature changes throughout the day, the temperature at noon was 36 degrees F.
Explanation:If the temperature started at 30 degrees F at midnight, and it dropped 5 degrees by 6:00 a.m, the temperature at 6:00 a.m. was 30 - 5 = 25 degrees F. Then, if the temperature increased by 11 degrees F by noon, we just add this increase to the temperature at 6:00 a.m. This results in 25 + 11 = 36 degrees F. So, the temperature at noon was 36 degrees F.
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What is the prime factorization of 135?
135 is a composite number.
135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.
Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.
Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5
The prime factorization of 135 is 3^3 × 5.
How did we get the value?
The prime factorization of 135 is obtained by finding the prime numbers that divide 135 evenly, repeatedly dividing until the quotient is no longer divisible by any prime numbers.
Starting with the number 135, we can see that it is divisible by 3, so we divide 135 by 3:
135 ÷ 3 = 45
Now, we repeat the process with 45. It is also divisible by 3:
45 ÷ 3 = 15
Continuing, we divide 15 by 3:
15 ÷ 3 = 5
Now we have reached a quotient of 5, which is a prime number. We cannot divide it any further, so we have obtained the prime factorization of 135 as follows:
135 = 3 × 3 × 3 × 5
Therefore, the prime factorization of 135 is 3³ × 5.
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6. Given the following equation y = 35x - 1600, write a real-life problem about a gym that could be modeled by this equation. Remember to identify your variables.
Givens
The cost of one piece of new equipment = 400
The number of new items needed = 4
Cost of one month's use = 35 dollars.
Income from 1 month's use = y
Number of members = x
Problem
Robert, the owner of a gym on the coast of Louisiana, has to replace 4 machines after a hurricane came through. Each machine costs 400. The gym cannot operate without these 4 machines. The gym will be be down for 1 month. He has x members who each pay 35 dollars for the use of the gym for a month. What is the total amount (y), that he is "out" for the month.
y = 35x + 400*4.
Complete each number pattern
8,625 8,725 ______ ______ 9,024
862 962 _____ 1,162 ______
6,215 _____ 6,015 _______ ______
Think about converting 48% to an equivalent fraction in reduced form. If the denominator is 25, what is the numerator?
Answer:
the numerator is 12
Step-by-step explanation:
since 48 is a percent, it would be put as 48/100 as a fraction. since both the numerator and denominator are divisible by 4, you can reduce the fraction into 12/25. Since the question is asking what the numerator was when the denominator was 25, the answer is 12.
Answer:
A=12
Step-by-step explanation:
C is directly proportional to d such that c=1.5d.
find c when D=12: First you have to plug in the number so if d=12 the you do c=12(1.5) which equals 18. C=18
Find d if C=15: you now have to do the inverse operation. if c=d1.5 then d= c/1.5 Then plug in the numbers again, d=15/1.5 it equals 10, so d=10
I hope this helps (:
Which graph represents the function? h(x)={ x if x<−1 −x if x≥−1 15 POINTS
Please answer quickly!! 15 points
Answer:
Option B
Step-by-step explanation:
h(x) = x if x < -1
-x if x ≥ -1
Here piece wise function is given.
Firstly we graph the line h(x) = x .
Remember that, this line start from x = -1 to -infinite , because x is less than -1.
Here we can not include the point x=-1. This situation represent with the help of circle at x = -1.
Now we graph the line h(x) = -x .
Remember that, this line start from x = -1 to infinite , because x is greater than equal to -1.
Here we include the point x=-1. This situation represent with the help of solid circle at x = -1..
So, option 2 is correct answer.
factorise y^2 - 16
(y squared)
[tex]y^2-16=y^2-4^2=(y-4)(y+4)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)[/tex]
1) The minimum thickness of Saturns A ring is one-tenth kilometer. Write this decimal using a negative exponent.
2) 1/4 with negative exponent
3) 1/44 with a negative exponent
Answer:
1)[tex]10^{-1}[/tex]
2)[tex]2^{-2}[/tex]
3)[tex]12^{-2}[/tex]
Step-by-step explanation:
Using negative exponent rule:
1) one -tenth of kilometer =.1 =[tex]\frac{1}{10}=10^{-1}[/tex]
Using negative exponent rule:
2) [tex]\frac{1}{4} =\frac{1}{2^{2} }=2^{-2}[/tex]
Using negative exponent rule:
3)[tex]\frac{1}{144} =\frac{1}{12^{2} }= 12^{-2}[/tex]
Question 5(Multiple Choice Worth 4 points) The legs of a right triangle are 12 centimetres and 16 centimeters. What is the length of the hypotenuse? 15 centimeters 17 centimeters 20 centimeters 28 centimeters
For this type of question, you have to use the Pythagorean Theorem:
[tex]a^{2} +b^{2} = c^{2}[/tex]
In the theorem, a and b are the legs. To find the length of the hypotenuse, you have to square the lengths of the two legs and add it together. Then, find the square root of the sum.
First square both numbers.
[tex]a=12 \\ a^{2} = 12 \times 12 = 144[/tex]
[tex]b = 16 \\b^{2} = 16 \times 16 = 256[/tex]
Now that you have the numbers, you need to add them.
[tex]144+256=400[/tex]
Now you need to find the square root of 400 to find the length of the htypotenuse.
[tex]\sqrt{400} = 20[/tex]
The length of the hypotenuse is 20 cm, which is the 3rd choice
a. 15 cm x
b. 17 cm x
c. 20 cm ✔
d. 28 cm x
If you have any questions, feel free to ask in the comments! :)
Answer:
the answer is C
Step-by-step explanation:
Tony wants to buy a new collar for each of his 4 dogs. The collars come in a choice of 9 different colors.
Step 2 of 2 : How many selections of collars are possible if repetitions of colors are not allowed?
There are 126 possible selections of collars for Tony's 4 dogs if repetitions of colors are not allowed.
What is permutation?The number of selections of collars possible if repetitions of colors are not allowed, we can use the concept of permutations.
Using the formula for permutations without repetition, we can calculate this as:
9P4 = 9! / (9 - 4)!
= 9! / 5!
= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
= 3024 / 24
= 126
This shows that 126 possible selections of collars for Tony's 4 dogs if repetitions of colors are not allowed.
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An apparel company uses a trucking service to deliver products from its warehouse to its retail outlets. For a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven. The apparel company has a budget of less than $950 per trip. The apparel company’s owner wants to find out which retail outlets can be serviced with the given requirements.
Represent this situation in an inequality.
Answer:
The inequality will be: [tex]x<560[/tex] , where [tex]x[/tex] is the distance of the retail outlets from the warehouse.
Step-by-step explanation:
For a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven.
Suppose, the number of miles driven is [tex]x[/tex]
So, the charge for [tex]x[/tex] miles will be: [tex]\$1.25x[/tex]
and the total charge for a one-way trip will be: [tex]\$250+\$1.25x[/tex]
Given that, the apparel company has a budget of less than $950 per trip.
So, the inequality will be.........
[tex]250+1.25x<950\\ \\ 1.25x<950-250\\ \\ 1.25x<700\\ \\ x<\frac{700}{1.25}\\ \\ x< 560[/tex]
Thus, the retail outlets which are less than 560 miles away from warehouse can be serviced with the given requirements.
Drag and drop the number to match the division problem to its quotient.
−85 ÷ 5 ________
17 -27 27 -17 13 -13
Here is you're answer:
In order to solve this equation you have to remember that a negative divided by a positive is a negative then just solve the equation.
[tex]-85 \div 5[/tex][tex]-85 \div 5 = -17[/tex][tex]= -17[/tex]Therefore you're answer is "-17."
Hope this helps!
Which is most likely the correlation coefficient for the set of data shown?
–0.872
–0.191
0.191
0.872
That's a really good positive correlation pictured. The line fits the data very well. The slope of the line is positive, meaning as x increases so does y. I'd choose a big positive value.
Answer: 0.872
The correlation coefficient for the set of data is 0.872.
What is meant by correlation coefficient?A correlation coefficient exists as a number between -1 and +1 that represents the linear dependence of two variables or groups of data
Using the process CORREL in the Excel tool, find the correlation coefficient
see the attached table
the correlation coefficient is equal to
r = 0.872373
Therefore, the correlation coefficient for the set of data is option D. 0.872.
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ten times the sum of half a number and 6 is 8
10(1/2x + 6) = 8
Distributive property.
5x + 60 = 8
Subtract 60 from both sides.
5x = -52
Divide both sides by 5.
x = -10.4 (This is your answer.)
solve the equation 5=1/2 v-3
v=?
y=3x−7
Complete the missing value in the solution to the equation.
(1,___)
I beleive the answer = (1, -4)
Answer:
Step-by-step explanation:
y= 3x-7= -4x
Solve For in P in the scientific formula PV=nRT
To solve this problem you must apply the proccedure shown below:
1. You have the following formula given in the problem above:
[tex]PV=nRT[/tex]
3. Then, to solve for P you only need to move V from the left member to the right member. V is multiplying P, therefore, it will divide [tex]nRT[/tex], as you can see below:
[tex]PV=nRT\\P=\frac{nRT}{V}[/tex]
Therefore, the answer is: [tex]P=\frac{nRT}{V}[/tex]
The volume of a cylindrical soap dispenser is modeled by the expression below.select the true statement.a. the expression (x + 1)2 represents the height of the soap dispenser.b. the expression (x + 1)2 represents the radius of the soap dispenser.c. the factor 4x + 1 represents the height of the soap dispenser.d. the factor 4x + 1 represents the area of the base of the soap dispenser.
Answer:
The expression [tex](x+1)^2[/tex] represents the radius of the soap dispenser.
The expression [tex]4x+1[/tex] represents the height of the soap dispenser.
Step-by-step explanation:
The question says that the soap dispenser is in the form of a cylinder.
Now, we find the volume of the cylinder by using the given formula:
[tex]V= \pi r^2 h[/tex], where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.
Now, the volume is the product of radius squared and the height, if they both are functions of [tex]x[/tex], then the function to represent the volume must have cubic exponents.
Since, the radius is squared in the formula and it is a function of [tex]x[/tex] that implies that the function of radius must have square as the exponent of [tex]x[/tex], therefore, the expression [tex](x+1)^2[/tex] will represent the radius of the soap dispenser and the expression [tex](4x+1)[/tex] represents the height of the soap dispenser.
Answer:
D
Step-by-step explanation:
What is -4(7x+5)=-160
Answer is -23
Add 4 from both sides
Subtract 5 from both sides
Then divide 7
To get rid of the parantheses we must multiply -4 times anything inside the parantheses.
-4(7x+5)=-160
-28x-20=-160
Add 20 to both sides of the equation.
-28x-20=-160
-28x=-140
Divide both sides by -28
-28x/-28=-140/-28
x=5
Our final answer is 5
Hope this helps!
Help ASAP!!!!
Fill in blank A I got B
First answer and correct answer gets the brain...
You multiply by 1.12 to find your answer
Answer: 1.12
To get this answer, you would represent 12% as 0.12 (move the decimal point 2 spots to the left to go from 12.0% to 0.12) then you add on 1 to get 1+0.12 = 1.12
Another way to think about it is to have 100% + 12% = 112%, so the new price is 112% of the old price. For example, if the car was $100 and you increase the price by 12%, then it jumps to $112. Notice how 1.12*(old price) = 1.12*100 = 112 = new price
George had $235 in his checking account he withdrew $20 each day on Monday Tuesday and Wednesday George got paid on Friday and deposited $130 into his checking account then on Saturday he wrote two checks one for a $167 and one for $212 what was the checking balance after writing the checks
235$ and if you withdraw 20$ on three days thats 60$ so if we remove that from the account we have 175$ left.
Then on Friday when he got paid he put 130$ into the bank he has 175+130=305$
If he wrote a check 1 for 167$ and 1 for 212$ thats his account balance - 212 then -167 = 305 -378 so he has a balance of -73
The checking balance after writing the checks is -$74.
Explanation:To calculate the checking balance after writing the checks, we need to keep track of George's transactions:
Starting balance: $235Monday: Withdraw $20 (-$20)Tuesday: Withdraw $20 (-$40)Wednesday: Withdraw $20 (-$60)Friday: Deposit $130 (+$70)Saturday: Write a check for $167 (-$97)Saturday: Write a check for $212 (-$309)To find the final balance, we add the positive values (deposits) and subtract the negative values (withdrawals and checks):
Starting balance ($235) + Deposits ($130) - Withdrawals ($60) - Checks ($167 + $212) = $235 + $130 - $60 - $167 - $212 = -$74
Therefore, the checking balance after writing the checks is -$74.
In August Emily’s clothing store sold 460 shirts with the ration of short sleeve to long sleeve being 3:7. How many short sleeve shirts where sold?
Emily's clothing store sold 138 short sleeve shirts, calculated by dividing the total shirts by the sum of the ratio parts (10) and multiplying the result by the short sleeve part of the ratio (3).
The question asks how many short sleeve shirts were sold if the ratio of short sleeve to long sleeve shirts is 3:7 and a total of 460 shirts were sold. To find the answer, first calculate the total parts of the ratio by adding both parts of the ratio together, which is 3+7=10.
Then, divide the total number of shirts by the total parts of the ratio to find out how many shirts each part of the ratio represents: 460/10=46. Since the ratio of short sleeve shirts is 3 parts, multiply the number each part represents by 3 to get the number of short sleeve shirts: 46*3=138. Therefore, Emily's clothing store sold 138 short sleeve shirts.
3x+5x
2n-3n
4c+c-7c
4x-6x+x-5x
3a+2a+7a-5
3x + 5x = 8x
2n - 3n = - n
4c + c - 7c = 5c - 7c = - 2c
4x - 6x + x - 5x = - 2x + x - 5x = - x - 5x = - 6x
3a + 2a + 7a - 5 = 5a + 7a - 5 = 12a - 5
Draw a model, and write an equation to represent "4 times as many as 3 is 12." Explain your work.
The equation [tex]4 * 3 = 12[/tex] is an accurate mathematical representation of the statement. First, create a model using objects, such as circles or blocks, to represent the numbers involved:-
Now,
Draw three circles to represent the number 3.
Then, draw four groups of three circles each, representing "4 times as many as 3."
In total, you will have 12 circles.
Now, write an equation to describe this model:-
[tex]4 * 3 = 12[/tex]
In this equation:-
The number 4 represents the "4 times as many as" part of the statement.
The number 3 represents the initial quantity, which is multiplied.
The result, 12, represents the total or the final amount.
The equation [tex]4 * 3 = 12[/tex] is an accurate mathematical representation of the statement. It shows that when you multiply 3 by 4, you indeed get 12, which aligns with the given statement that "4 times as many as 3 is 12." This visual and algebraic representation helps to understand and demonstrate the concept of multiplication.
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7719 equal 83×93 explain why 83×93 is not the prime factorization of 7719
Answer:
7719 = 3*31 * 83
Step-by-step explanation:
Because 93 can be factored down further. It is 31*3. So the prime factorization of
7719: 83 * 31 * 3
83 is a prime. It cannot be broken down any further.
The physician orders Xanax 0.5mg you have on hand 0.25mg tablets how many will you give
what is 5.93^-5 in standard form?
5.93 * 10^(-5) Hope this Helps
0000593
thats the answer
What is 87.252 dividend by 2.2 I am not sure how to do the work
Answer:
39.66
Step-by-step explanation:
If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.
Divide like you usually do
Put decimal point directly above decimal point in the dividend.
Check your answer.
Answer:
39.66
Hope this helps :-)