There are 6 skates in store with 5 wheels.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Here, Let the number of 4 wheel skates in display be x
and the number of 5 wheel skates in display be y
Total number of skates = 17
Total number of wheel = 74
Now, according to question
x + y = 17 ................(i)
4x + 5y = 74 ..................(ii)
From equation (i), we get
x = 17 - y ................(iii)
put the value of y in equation (ii), we get
4(17 - y) + 5y = 74
68 - 4y + 5y = 74
y + 68 = 74
y = 6
Put the value of y in equation (iii), we get
x = 17 - 6
x = 11
Thus, there are 6 skates in store with 5 wheels.
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cuanto es 9 1/4 3 4/5
Answer:
if asking for the fractions turn into number they are 9.25 and 3.80 but
Step-by-step explanation:
if asking about dividing then its 36 and 3.75
write an equation of a circle with a radius of 8 and a center of (3,-4)
Answer: \((x-3)^2+(y+4)^2=64\)
Step-by-step explanation:
The equation of a circle is \((x-h)^2+(y-k)^2=r^2\). h and k are the points of the center corresponding with x and y respectively. r is radius. All we have to do is plug the values in.
\((x-3)^2+(y-(-4))^2=8^2\)
With our values plugged in, we can now simplify.
\((x-3)^2+(y+4)^2=64\)
Therefore, our final equation is \((x-3)^2+(y+4)^2=64\).
Find the missing angle x. Round to the nearest whole number.
7
15
.ro
Not drawn to scale
figure a is a right triangle, and two of its sides have a length of 1 foot. therefore, its third side is greater than 1 foot in length.
According to the Pythagorean theorem, The Answer is Yes the third side is greater than 1 foot.
What do you mean by right angle triangle?A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.
What is the Pythagorean Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
p=1 foot
b=1 foot
\(h^{2} = p ^{2} + b ^{2}\)
\(h=\sqrt {1^{2}+1^{2}}\\=\sqrt 2\\=1.41\\\)
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pretty ez ngl but need help extra points
Answer:
Concept: Algebraic Manipulation
90* 1/6 = 15 Hence its 15 dollars Rate brainlistAnswer:
D
Step-by-step explanation:
Amy spent 1/6 of the 90 dollars on school supplies, which means to multiply 1/6 by 90
1/6*90
6 and 90 are both factors of 3, so cancel
1/2*30
30/2
$15
Answer is D
PS. you can put the fraction 15/90 and see that it is equal to 1/6 if you're not sure/ if you want to double check :)
find the bearing of a from b
find the bearing of b from a
Answer:
130° and 310°
Step-by-step explanation:
the bearing of A from B is the measure of the clockwise angle from a north line at B to A
the angle at B and A are same- side interior angles and sum to 180°
angle at B = 180° - 50° = 130°
the bearing of A from B is then 130°
the bearing of B from A is the measure of the clockwise angle from the north line at A to B
the complete angle about A = 360° then clockwise angle from north line at A to B is
360° - 50° = 310°
the bearing of B from A is 310°
korinn fills 1/6 of a water bottle in 1/4 of a minute. how much time, in minutes, does it take her to fill the bottle
Answer:
1.5 minutes to fill a whole bottle.
Step-by-step explanation:
1. Based on the given information, set up a proportion;
Given;
1/6 of a bottle was filled in 1/4 minute
Equation;
1/6 : 1/4
2. Solve the equation;
1/6 : 1/4
Multiply both sides by 6, to make it such that the whole bottle is filled,
1/6 : 1/4
*6 *6
1 : 6/4
Simplify
1 : 3/2
1.5 minutes to fill a whole bottle.
5. In the diagram below, lines AB and CD intersect at E such that mZAEC = 2x+4 and
m/AED=5x+1.
Find the measure of ZDEB. Show how you found your answer.
Based on the information in the triangle, the measure of ZDEB is 54°.
How to calculate the valueA triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.
The sum of the measures of the angles of a triangle is 180 degrees. Therefore,
mZAEC + m/AED + mZDEB = 180
(2x+4) + (5x+1) + mZDEB = 180
7x+5 = 180
7x = 175
x = 25
mZDEB = 2x+4 = 2(25)+4 = 54 degrees
Hence, the answer is 54
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Rewrite 6 as a fraction with the denominator being 7
Answer:
42/7
Step-by-step explanation:
Change 6 to a fraction by putting a 1 under the 6.
6 becomes 6/1
Then multiply by 7/7 to change the denominator to 7 as was asked for in the question.
6/1 × 7/7
= 42/7
When you multiply fraction × fraction, you multiply top×top and bottom×bottom.
6 rewritten as a fraction with the 7 on the bottom is 42/7
What is the value of 3 - (-2)
-5
-1
1
5
Answer:
5
Step-by-step explanation:
if your subtracting a negative number, you just add it.
Answer:
The answer is 5.
Step-by-step explanation:
There is a double negative in the equation, represented by -(-2). A double negative always equals a positive, so the equation will now translate to 3+2, which is 5.
Given f(x) = 3x + 4. Find F-1(7)
Please help I’ll give you brainiest answer 100points!!!!!
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer: Guy above me is right
Step-by-step explanation:
please I need help with this question!
The weight of adult males in Boston are normally distributed with mean 69 kilograms and variance 25 kilograms.
I. what percentage of adult male in Boston weigh more than 72 kilograms?
ii. what must an adult male weigh in order to be among the heaviest 10% of the population?
Thank you in advance!
Answer:
I. 60%
II. 75.4 kg
Step-by-step explanation:
We will use the z-scores and the standard normal distribution to answer this questions.
We have a normal distribution with mean 69 kg and variance 25 kg^2 (therefore, standard deviation of 5 kg).
I. What percentage of adult male in Boston weigh more than 72 kg?
We calculate the z-score for 72 kg and then calculate the associated probability:
\(z=\dfrac{X-\mu}{\sigma}=\dfrac{72-69}{5}=\dfrac{3}{5}=0.6\\\\\\P(X>72)=P(z>0.6)=0.274\)
II. What must an adult male weigh in order to be among the heaviest 10% of the population?
We have to calculate tha z-score that satisfies:
\(P(z>z^*)=0.1\)
This happens for z=1.28 (see attachment).
Then, we can calculate the weight using this transformation:
\(X=\mu+z^*\cdot\sigma=69+1.28\cdot 5=69+6.4=75.4\)
PLEASE HELP ME
An angle measures 175.2° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
2.4 and 177.6
Step-by-step explanation:
Let Angle 1 be x
This means Angle 2 is x+175.2
Since supplementary angles add up to 180 we can write the following equation:
x+x+175.2=180
2x+175.2=180
Subtract 175.2 from both sides
2x=4.8
Divide 2 by both sides
x=2.4
Angle 1 is 2.4
Angle 2 is 2.4+175.2=177.6
help please i need this for homework
Answer:
It costs 50
Step-by-step explanation:
I think this is right
A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.\(\mu\) is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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Jayden walked a total of 12x+5r-8 miles on Monday and Tuesday. If he walked 7x-10r miles on Monday, how
many miles did he walk on Tuesday?
Answer:
8 Miles on Tuesday
Step-by-step explanation:
Jahden walked (12x + 5r - 8) - (7x -10r) = 5x + 15r - 8 miles on Tuesday.
Tenemos en un banco un capital de 120000 soles por el que nos dan un interés del 3%. Cual es la función que exprese el capital acumulado en función del tiempo que permanezca en el banco
Answer:
Se llama interes y el 3% de 120000 es un total de
$6,300
The function that expresses the accumulated capital as a function of time (in years) as compound interest is \(A(t) = 120,000(1 + 0.03)^t\).
We have,
The formula to calculate the accumulated capital over time with compound interest is:
\(A = P(1 + r/n)^{nt}\)
Where:
A: accumulated capital after time t
P: initial principal or investment
r: annual interest rate as a decimal
n: number of times interest is compounded per year
t: time in years
In this case,
P = 120,000 soles, r = 0.03 (3% as a decimal), n = 1 (compounded annually). Therefore,
The function that expresses the accumulated capital as a function of time (in years) is:
\(A(t) = 120,000(1 + 0.03)^t\)
Simplifying the expression, we have:
\(A(t) = 120,000(1.03)^t\)
So, for example,
If the money is kept in the bank for 5 years, the accumulated capital will be:
\(A(5) = 120,000(1.03)^5\)
= 141,158.38 soles
Thus,
The function that expresses the accumulated capital as a function of time (in years) is:
\(A(t) = 120,000(1 + 0.03)^t\)
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The complete question:
We have a capital of 120,000 soles in a bank for which they give us 3% interest. What is the function that expresses the accumulated capital as a function of the time it remains in the bank?
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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During high tide around 11:00 p.m., the water level is 3 feet above a marker on a pier. The following day, during low tide around 5:12 a.m., the water level has dropped 3 feet below the marker. The height of the water is modeled by the function y = 3 cosine (StartFraction 24 pi Over 149 EndFraction x), where x is the time in hours since 11:00 p.m.
What is the height of the water at 2:15 a.m.?
Given equation:
\(y = 3 \cos (\frac{24 \pi}{ 149}x)\\\\\)
To find:
height of water at 2:15 am=?
Solution:
\(y = 3 \cos (\frac{24 \pi}{ 149}x)\\\\\)
where x is the time in hours that is 11:00 p.m and at the of time 2:15 am the calculating value of x:
\(\to X= (3:15)\ hours = 3 \frac{1}{4} = \frac{13}{4}\\\\ \to y= 3 \cos (\frac{24 \pi}{149}\times \frac{13}{4} )\\\\\)
\(= 3 \cos (\frac{6 \pi}{149}\times 13 )\\\\= 3 \cos (\frac{78\pi}{149} )\\\\= -0.22118\approx -0.22\\\\\)
Therefore, the height of the water at 2:15 am is 0.22 feet below the marker.
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Answer:
The Answer is A 0.22 feet
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest
look at the screenshot x
Answer:
31.01
Step-by-step explanation:
A= πr^2= π · 3.142 ≈31.01432
Pls help me I really nee it pls pls pls pls
what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
Jessica takes 4 business trips a month for x months in a row. Write an expression to show how many business trips Jessica has taken.
Answer:
\( t = 4x \)
Step-by-step explanation:
We are given that in 1 month, Jessica takes 4 business trips. Take 4 as our coefficient or constant.
Let t be the total number of business trips Jessica has taken.
For 1 month, 4 trips are taken.
For x months, total business trips taken will be expressed as,
\( t = 4x \)
Let's say for example, we have 5 months in a row, i.e. x = 5. Total business trips taken by Jessica can be gotten by simply plugging in the value of x.
\( t = 4(5) = 20 trips \)
In 5 months in a row, Jessica takes 20 business trips.
Theprofit(indollars)earnedbysellingwappletreesisrepresentedby w2 − 4w + 14. The profit (in dollars) earned by selling w pear trees is
represented by 2w + 10. Write a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.
The profit earned by selling w pear trees is 2w + 10
To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:
\((w^2 - 4w + 14) - (2w + 10)\)
Simplifying the expression:
\(w^2 - 6w + 4\)
Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).
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A salesperson's commission rate is 5 %. What is the commission from the sale of 32,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations. The commission is $ .
Answer: Answer:
Its sad that you have to uses this app to get the right answers.
Have you ever stopped to ponder if someone is trying to scam/Catfish you?
Also I bet that you haven't even tried reading this question.
I know that you can do it yourself!
If not then, Sorry to hear.
Also
The answer is:
Do it yourself, Because if you try..You'll have a better answer then I ever could. Or anyone TBH
two 6 sided dice are rolled. What is the probability of rolling a number that is not an odd number?
Answer:1/4, 25%
Step-by-step explanation:
even number: 2,4,6
odd umber 1,3,5
even number probability when 1 dice is rolled: 3/6 = 1/2
2 dice is rolled: 1/2*1.2 = 1/4 = 25%
I NEES HELP STATISTICS
can someone pls help me with my math please
Answer:
A) 75
Step-by-step explanation:
All 3 angles of any triangle add up to 180° so we can subtract all known angles from 180° to get the missing angle.
40°+65°=105°
180°-105°
75°