For 13 months the membership is done using the equivalent of two given monthly fees for community and workout gym.
Why do you use the word equivalent?Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value. By dividing both numbers by the same number, one can convert a division problem into an analogous problem while keeping the ratio between the two numbers constant. The equivalent is defined as something that is almost identical to or equal to another object. Two numbers that are equivalent are (2+2) and 4. These two things are equivalent since 2+2=4. equal to make equivalent.
Let x be the months
then community month= workout month
60+70x=190+60x
⇒70x-60x=190-60
⇒10x=130
⇒x=13 be the months be the working.
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Is the following conditional true?
If a number is a square root of an integer, then it is irrational.
Answer:
Step-by-step explanation:
The square root of an integer is either an irrational number or an integer. The latter is the case if and only if there is an integer which, when multiplied by itself, or squared, yields the number inside the symbol (the radicand) as the product. All square roots except perfect squares are irrational numbers. 3 is not a perfect square.
2. Select the numerical representation for the description.
Twenty-seven percent of three million:.
O27 x 3,000,000
O 0.27 x 3,000,000
O 0.27-3,000,000
O 0.27 +3,000,000
0.27 3,000,000
Answer:
27% of a 3m is 810,000
but here answer r is 0.27 3,000,000
Numerical representation of Twenty-seven percent of three million will be 0.27 x 3,000,000 .
The correct option is B.
Given, word form Twenty-seven percent of three million.
Conversion of word form into numerical form.
1 million = 1,000,000
Using unitary method,
Multiply both sides by 3.
1 million × 3 = 1,000,000 × 3
3 million = 3,000,000
Now 27% in terms of fraction can be written as :
27% = [tex]\frac{27}{100}[/tex]
= 0.27
Combining ''Twenty-seven percent of three million" :
Of in mathematics represent multiplication .
0.27 × 3000000
Thus the correct option is B .
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Which of the following could be a real-world description of 4x − 17?
$17 in addition to the cost of 4 hot dog combos
The cost of 17 people splitting 4 hot dog combos
$17 less than the cost of 4 hot dog combos
The cost of hot dog combos less a $17 coupon split by 4 people
The answer choice which could represent the real-world description of 4x - 17 is; $17 less than the cost of 4 hot dog combos.
What could be a real-world description of the expression?It follows from the task content that the real-world description of the expression; 4x -17 is to be identified.
On this note, if the cost of 1 hot dog is; x.
Hence, the cost of 4 hot dogs is; 4x.
Ultimately, the given expression represents; $17 less than the cost of 4 hot dog combos.
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Answer: C
Step-by-step explanation:
Consider the following:
X 31 51 87 102 120
Y 206 229 184 126 103
1) What is slope of the regression line predicting Y from X,rounded to 2 decimal places?
Type numbers in the boxes.
Part 1: 10 points
Part 2: 10 points
Part 3: 10 points
3) What is the correlation between X and Y, rounded to 2 decimal places?
30 points
2) What is the intercept of the regression line predicting Y from X, rounded to 2 decimal places?
From the regression line of the data, we have that:
1) The slope is of -1.31.
2) The intercept is of 272.17.
3) The correlation coefficient is of -0.9.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points are given as follows:
(31, 206), (51, 229), (87, 184), (102, 126), (120, 103).
Inserting these points into a calculator, the equation of the line is:
y = -1.31x + 272.17.
Hence:
1) The slope is of -1.31.
2) The intercept is of 272.17.
Also inserting these points into a calculator, the correlation coefficient is of -0.9.
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Pre-Calculus question
The Interpret (N · T)(t) is [tex]N[T(t)] = 20t^{2}+92t+205.[/tex]
The number of bacteria after 5 hours will be 1165.
It will take for the bacteria count to reach 2221.
As per the question statement, the number of bacteria "N" in a refrigerated food is given by [N(T) = (5T² - 4T +100)], where "T" is the temperature of the food in degrees Celsius,
And when the food is removed from the refrigerator, the temperature of the food is given by [T(t) = (2t+5)].
First we are required to find out (N · T)(t), which is N[T(t)] which can be expressed as
[tex]N[T(t)] = 5[T(t)]^{2} - 4T +100\\or, N[T(t)] = 5(2t+5)^{2} -4(2t+5)+100\\or, N[T(t)] = 5(4t^{2}+25+20t)-8t-20+100\\ or, N[T(t)] = 20t^{2} +125+100t-8t+80\\ or, N[T(t)] = 20t^{2}+92t+205.[/tex]
Then, the number of bacteria after 5 hours will be N[T(5)], i.e.,
[tex]N[T(5)] = 20(5^{2})+(92*5)+205\\or, N[T(5)] = (20*25)+460+205\\or, N[T(5)] = 500+665\\or, N[T(5)]=1165[/tex]
And finally, the time required for the bacteria count to reach 2221 can be calculated by solving the quadratic equation [tex][2221 = 20t^{2}+92t+205][/tex], i.e.,
[tex][20t^{2}+92t+205 = 2221]\\or, 20t^{2}+92t+(205-2221)=0\\or,20t^{2}+92t-2016=0\\or, 5t^{2}+23t+504=0[/tex]
And the formula to calculate the solutions of a standard quadratic equation [ax² + bx +c = 0] goes as
[tex]x=\frac{-b+\sqrt{(b^{2}-4ac) } }{2a}, \frac{-b-\sqrt{(b^{2}-4ac) } }{2a}[/tex]
Comparing [ax² + bx +c = 0] with [5t² + 23t + 504=0], we get
(a = 5), (b = 23) and (c = -504), and using these values in the above mentioned formula to calculate the solutions of quadratic equations, we get, [t = 8, (-12.6)].
Since time (t) cannot be negative, thus [t ≠ (-12.6)].
Hence, (t = 8) or, the time required for the bacteria count to reach 2221 is 8 hours.
Quadratic Equation: In algebra, any polynomial equation whose highest degree is two and can be rearranged to the standard form of [ax² + bx + c = 0], where (a ≠ 0), is known as a quadratic equation.To learn about Quadratic Equations, click on the link below.
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Use the number line to find pairs of equivalent fractions between 0 and 1
Answer:
4/8 and 3/6 are equivalent because they both equal 1/2.
Answer:
4/8 and 3/6
Step-by-step explanation:
The table shows the results of an experiment in which three coins were tossed.
What is the experimental probability that at least two of the coins will be heads? The theoretical probability?
The experimental probability that at least two heads would be gotten is 11 / 25.
The theoretical probability that at least two heads would be gotten is 1/2.
What are the probabilities?Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability = number of times at least two heads would be gotten / total number of tosses
( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25
Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes
4 / 8 = 1/2
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5
Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.
y> 2x + 4
x+y≤6
Drawing Tools
Select
Line
Dashed Line
Shaded Region
Click on a tool to begin drawing.
10-
8-
6-
4
Delete
Undo
Reset
The solution region for the given pair of inequalities is found to be the common shaded region in the graph attached.
For drawing the graph of any inequality, we first have to assume the inequality as an equation and draw the graph of the resulting equation. Hence, finding the points for the inequality , we let the inequality as:
Putting y=0, we get:
The point will be: (-2,0)
Now, putting x=0, we get:
The point will be: (0,4)
Now as the sign of inequality is >, the line of graph will be dotted.
Taking a test point (0,0) to find the shaded region, substituting this in the inequality,
So, the shaded region will be away from the test point.
Similarly, finding the points for the inequality , we let the inequality as:
Putting y=0, we get:
The point will be: (6,0)
Now, putting x=0, we get:
The point will be: (0,6)
Now, as the sign of inequality is of , the line of graph will be solid.
Taking a test point (0,0) to find the shaded region, substituting this in the inequality,
So, the shaded region will be towards the test point.
The resulting graph is attached after the solution.
The solution to the pair of given inequalities will be the shaded region that is common between both the individual inequality's shaded regions.
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pls help me out with this geometry question
Answer:
Question 7: 20° and 160°, Question 8: 10° and 80°
Step-by-step explanation:
Complementary angles add to 90° and supplementary angles add to 180°.
In 2006, the population of a town was 18,310 and growing by 58 people per year. Find a formula for P, the town’s population, in terms of t, the number of years since 2006.
Find each power
-3^2 =
( - 3)^2 =
Answer:
-3^2 = -9
(-3)^2 = 9
Step-by-step explanation:
-3^2 only the 3 is being squared. So he answer is -(3) which is -3
In the second problem (-3)^2 Everything inside the parentheses is being squared. (-3)(-3) = 9
The area of a closet is 100 sq feet. write the number in exponent form and word form.
For given number 100
the exponent form = 10²
the word form = One Hundred
For given question,
The area of a closet is 100 square feet.
We need to write the number in exponent form and word form.
First we write given number in exponent form
⇒ 100 = 10 × 10
⇒ 100 = 10²
So, the exponent form given number 100 is 10²
And the word form of given number is : One Hundred
Therefore, for given number 100
the exponent form = 10²
the word form = One Hundred
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all employees surveyed said that if they were in a state of information underload, they were dissatisfied.
Nearly 80% of those surveyed said they want to work for a company that values diversity, equity, and inclusion issues.
What is equity?
Value is utilized as capital raised by an organization, which is then used to buy resources, put resources into ventures, and asset tasks. A firm commonly can raise capital by giving obligation (as a credit or through bonds) or value (by selling stock). In finance, value is responsibility for that might have obligations or different liabilities joined to them. Value is estimated for the purpose of bookkeeping by taking away liabilities from the worth of the resources. For instance, on the off chance that somebody possesses a vehicle worth $24,000 and owes $10,000 on the credit used to purchase the vehicle, the distinction of $14,000 is value. Value can apply to a solitary resource, like a vehicle or house, or to a whole business. A business that requirements to fire up or grow its tasks can offer its value to raise cash that doesn't need to be reimbursed on a set timetable.
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PLEASE HELP!!
A movie theater runs two group promotions. Deal A charges a $9 admission fee per person plus $15 for unlimited popcorn for the group. Deal B charges a $6 admission fee per person plus $3 for unlimited popcorn per person.
How many people must be in a group for both promotions to cost the same amount?
The number of people that must be in the group is 15.
How many people must be in the group?The expression for the total cost of Deal A is: $9p + $15
The expression for the total cost of Deal B is: $6p + $3p
Where p is the number of people in the group
When both promotions cost the same, both expressions would be equal:
$9p + $15 = $6p + $3p
In order to determine the value of p, take the following steps:
Combine similar terms
$6p + 3p - 9p = 15
p = 15
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Find the missing fraction.
5/6 - = 1/2
Answer:
Hope this helps :)
Missing fraction is 2/6
5/6 - 2/6 = 3/6 = 1/2 (simplified)
If 6 burgers cost $7.74, how many can you buy for $19.35? Pls show work and explain how you did it :)
Answer: 15 burgers
Step-by-step explanation:
7.74/6=$1.29 per burger
$19.35* 1 burger/$1.29=
19.35*1/1.29=
19.35/1.29=15 burgers
Factor.
y²-9 please help me with this
Since both terms are perfect squares, factor using the difference of squares formula,
a2−b2=(a+b)(a−b) where a=y and b=3.
(y+3)(y−3)
find the solutions to the equation in the interval 0 ≤ theta ≤ ????/2 . enter your answers as a comma-separated list. 2cos(4theta) − 1
The values of θ, i.e. the general solution of the given trigonometric equation that satisfy the given equation are: 5π/12, π/12.
What is the general solution of a trigonometric equation?The general solution of a trigonometric equation is a formula employing the integer n that provides all solutions.
Given:
EQuation: 2 cos( 4θ) - 1 = 0.Interval: 0 ≤ θ ≤ π/2TO find: Values of θ.
Finding:
In the given equation: 2 cos( 4θ) - 1 = 0,
=> cos (4θ) = 1/2
=> cos (4θ) = cos (π/3)
=> 4θ = 2nπ ± π/3
=> θ = nπ/2 ± π/12
For n = 0, θ = ± π/12
For n = 1, θ = π/2 ± π/12
Since θ ∈ [0, π/2], the possible values of θ = π/12, π/2 - π/12 = 5π/12.
Hence, The values of θ that satisfy the given equation are: 5π/12, π/12.
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Please help with problem 29
Answer:
Step-by-step explanation:
So, basically, the slope intercept form is y = mx + b
m is rise over run x is well x and b is where the original y is.
So 2x-3 is up two over one
And 1x-1 is up one over one
And take for example 2/3x + 5
That would be up two over three
determine whether the statement describes a descriptive or inferential statistic. a survey of 1455 people revealed that 53% work a full-time job; therefore it can be assumed that 53% of the u.s. population works a full-time job.
The statement, "A survey of 1455 people revealed that 53% work a full-time job; therefore it can be assumed that 53% of the u.s. population works a full-time job" describes Inferential statistics.
What is inferential statistics?Inferential statistics is a sort of statistic that requires people to reach a conclusion based on some previously provided samples. In the statement above, we can see some statistics that have been previously stated that is followed by a conclusion.
The assumption that is made in the latter part of the statement is the reason why the statement can be referred to as inferential statistics.
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what is 4 multiplied by 4
Answer:
4 × 4 is 16.
Multiplication:
Multiplication is the operation of increasing a value by another value the number of times the other value says to increase the first value.
e.g, 5 × 6 = 30
Simplify 2p-9=3(2p-5)
Answer: It is 3/2 = p
Step-by-step explanation:
1. 2p - 9 = 3(2p - 5)
2. 2p - 9 = 6p - 15
3. -9 = 4p -15
4. 6 = 4p
5. 3 = 2p
6. 3/2 = p
Answer:
6/4 or 3/2
Step-by-step explanation:
To this problem, we need to use the distributive property, and we also need to combine like terms.
2p-9=3(2p-5)
2p-9=6p-15
Subtract 2p on both sides
-9=4p-15
Add 15 on both sides
6=4p
Now divide 4 on both sides
6/4 or 3/2
I hope this helped!
Have a wonderful day!
:D
Your mother gave you $15.80 with which
to buy a present. This covered of the
2
3
cost. How much did the present cost?
Answer: it cost 14 dollars
Step-by-step explanation:
Please solve this simple order of operations question. Make sure to show your work. No links are allowed and answers with links will be reported! First person to answer will get brainliest ! Thank you.
[5−2² + (−3)]³ ÷ (-4)
Answer:
2
Step-by-step explanation:
First you do the 2² which is 4 then 5-4 is 1-3 is -2³ is -8/-4 is 2
HELP 50 PTS AND BRAINLY!!!
Answer:
Last option
Step-by-step explanation:
→ Find the sum for how much he spent
[tex]\frac{2}{3} +\frac{1}{4} =\frac{11}{12}[/tex]
Answer:
C
Step-by-step explanation:
The sum of two numbers is 88. If one number is 4 more than half the other number, determine the two numbers by setting up a linear equation.
a.44
b.56
c.61.3
d.126
e.138
f.176
Need answer ASAP. Please no answer links. Will mark brainliest if you want.
The two numbers by setting up a linear equation are 32 and 56 respectively
Linear function and equationA linear equation is an equation that has a linear degree of 1. Let the 2 unknown number be x and y
If the sum of two numbers is 88, then;
x + y = 88
If one number is 4 more than half the other number, then
x = 1/2y + 4
Substitute equation 2 into 1
x + y = 88
(1/2y+4) + y = 88
1/2y+y + 4 -88 = 0
3/2y - 84 = 0
3/2y. = 84
3y = 2(84)
3y = 168
y = 56
Determine the value of x
x =88 - 56
x = 32
Hence the two numbers by setting up a linear equation are 32 and 56 respectively
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Lamar planted 56 flowers in his garden. the ratio of orange to yellow flowers planted was 25. lamar planted yellow flowers.
From the given ratio, the number of yellow flowers are; 40 flowers
How to find the ratio?
We are given;
Total number of flowers in the garden = 56
Ratio of orange to yellow flowers is; 2:5
Thus;
Fraction of total gives;
Fraction that is orange flowers = 2/7
Fraction that is yellow flowers = 5/7
Thus;
Number of yellow flowers = (5/7) * 56
Number of yellow flowers = 40 yellow flowers
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The temperature dropped 12 degrees every hour for 4 hours before a blizzard started. How much did the temperature change?
Answer:
48 or -48
Step-by-step explanation:
Mr. Anderson said, "Five less than one fourth of my age is 12." How old is Mr.
Anderson?
Answer:
Hes 3
Step-by-step explanation:
its 1/4 of 12 = 3
Answer:
43.
Step-by-step explanation:
12 • 4 - 5 = 43. Mr Anderson is 43.
A boat is traveling at a constant rate through the water. if it takes 15 minutes to travel 2.7 miles, how many hours will it take for the boat to finish a 17.1 mile journey?
Answer:
6.3 hours
Step-by-step explanation: