The coins are 19 and 28 each
How to calculate the number of coins ?Let x represent the first coin and let y represent the second coin
x + y= 47.....equation 1
2x + 5y= 151.......equation 2
From equation 1
x + y= 47
x= 47-y
Substitute 47-y for x in equation 2
2(47-y) + 5y= 151
94 - 2y + 5y= 151
collect the like terms
94 + 3y = 151
3y= 151 - 94
3y= 57
y= 57/3
y= 19
Substitute 19 for y in equation 1
x + y = 47
x + 19 = 47
x= 47-19
x= 28
Hence the coins are 19 and 28 each
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9x + 3 – 7x + 4
Help me out please?
Answer: The answer is 2x + 7.
Explanation: First, we need to add the numbers:
9x + 3 – 7x + 4
9x + 7 - 7x
And finally, we combine like terms:
9x + 7 - 7x
2x + 7
Find the 5th term of the arithmetic sequence -5x – 5, -12x – 8,
- 19x – 11, ...
Answer:
5th term of AP = -33x - 17
Step-by-step explanation:
Given:
Arithmetic sequences;
[-5x - 5], [-12x - 8], [ - 19x - 11] , ...
Find:
5th term of AP
Computation:
First term a = [-5x - 5]
Common difference d = a2 - a1
Common difference d = [-12x - 8] - [-5x - 5]
Common difference d = -12x - 8 + 5x + 5
Common difference d = -7x -3
5th term of AP = a + [n-1]d
5th term of AP = [-5x - 5] + [5-1][-7x -3]
5th term of AP = [-5x - 5] + [4][-7x -3]
5th term of AP = [-5x - 5] -28x -12
5th term of AP = -5x - 5 -28x -12
5th term of AP = -33x - 17
Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
The variance is therefore; 78.8/5 = 15.76Learn more on the variance of a set of data here: https://brainly.com/question/30701163
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what is the quotient of 5.76×7 and 9.0×10 to the fourth power expressed in scientific notation?
Answer:
4.48 ×10^-4
Step-by-step explanation:
Now putting the sentence into a mathematical relationship (recall that quotient is the result of division). We have;
5.76 ×7 / 9.0×10^4 = 40.32/90000= 4.48 ×10^-4
Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers.
The general format for writing scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one. a may also be expressed as a decimal as in the answer above. a may also be equal to or greater than 10 as the case maybe. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
(PLEASE HELP! ITS URGENT) Move all expressions whose product is negative to the box.
Answer:
The 2nd and the 4thᕕ( ᐛ )ᕗ
Answer:
the second [2ǹd] & the fourth [4th]
Period - Integrated Math 1) 1 1 55 56 SR 59 60 61 62 63 64 65 66 SR 59 60 61 62 63 64 65 55 36 ST SR 59 60 61 62 63 64 65 605 SS S6 57 SR 59 60 61 62 63 64 65 Emma will only walk her dog when the temperature is no more than 60 degrees. Which graph represents the situation? Ос A B
we know that
If the temperature is no more than 60 degrees
that means
that the temperature is less than or equal to 60
Let
T ------> the temperature
\(T\leq60\)In a number line the solution is the shaded area at left of T=60 (closed circle)
therefore
the answer is the option B
Part 2
In this problem
we have an identity in equation 3
because the left side is equal to the right side
Part 3
we have the equation
7x-3y=-21
I'LL MARK THE BRAINLIEST
The length of a radius of a circle, measured in feet, is represented by the expression z + 3.6. The diameter of the circle is 11 4/5 ft.
What is the value of z?
Enter your answer as a decimal or mixed number in simplest form in the box.
The value of z in the circle is 2.3 units
How to determine the value of z in the circleIn the question, the following statements represents the given parameters
The length of a radius of a circle is represented by the expression z + 3.6. The given circle diameter is 11 4/5 ft.As a general rule, the diameter of a circle is the radius doubled
So, we have
2 * (z + 3.6) = 11 4/5
Express as decimal
2 * (z + 3.6) = 11.8
So, we have
z + 3.6 = 5.9
Evaluate the like terms
z = 2.3
Hence, the value of z is 2.3
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an employee is looking for a house to rent near their office. They gather the data on many similar houses. The scatter plot shows the monthly rent of the houses, in dollars, and the distance of the houses from their office, in kilometers
Answer:
Step-by-step explanation: its a negative nonlinear interger.
number 150 please!
Answer:
ABCDEFGHIJKLMNOP
Answer:
please follow me pleaseA circular sprinkler system is installed and waters an area of 28.26 square yards. What is the radius of the circle?
Answer:
The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius.
Given that the area of the circle watered by the sprinkler system is 28.26 square yards, we can set up the equation:
28.26 = πr^2
To solve for r, we need to isolate it on one side of the equation. We can do this by dividing both sides by π and then taking the square root:
r = √(28.26/π)
Using a calculator to evaluate this expression, we get:
r ≈ 3 yd
Therefore, the radius of the circle is approximately 3 yards.
ChatGPT content created by https://googpt.ai
Answer: 2.99924
Step-by-step explanation:
3,998-(-7)= can you please help me with this problem
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
Triangle can be formed with angle measures of 32 degrees, 126 degrees, and 32 degrees
Answer:
No triangle can be formed with these angles.
Step-by-step explanation:
There must be 180 degrees in a triangle.
32 + 126 + 32
= 126 + 64
= 190 degrees - so this cannot form a triangle.
Answer:
a triangle cant be formed with the angles
Step-by-step explanation:
When Liam commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 55 minutes and a standard deviation of 4.5 minutes. Out of the 207 days that Liam commutes to work per year, how many times would his commute be between 46 and 60 minutes, to the nearest whole number?
The given information is: Liam commutes to work, and the amount of time it takes him to arrive is normally distributed with a mean of 55 minutes and a standard deviation of 4.5 minutes. Now, we have to find how many times Liam's commute be between 46 and 60 minutes in a year. So, Liam's commute would be between 46 and 60 minutes for 175 days.
Let X be the amount of time Liam's commute takes him to arrive. Hence, X ~ N(μ = 55, σ = 4.5).
Using the Z-score formula, we have: Z = (X - μ) / σ
Let Z1 be the Z-score when X = 46.
Z1 = (46 - 55) / 4.5 = -2Let Z2 be the Z-score when X = 60.
Z2 = (60 - 55) / 4.5 = 1.111So, P(46 ≤ X ≤ 60) = P(-2 ≤ Z ≤ 1.111)
To find this probability, we can use the standard normal table or calculator. By using the standard normal table, we have: P(-2 ≤ Z ≤ 1.111) = 0.8665 - 0.0228 = 0.8437
So, the probability of Liam's commute time to be between 46 and 60 minutes is 0.8437.
Out of the 207 days that Liam commutes to work per year, the number of times his commute would be between 46 and 60 minutes is given by: Number of times = Probability × Total number of days = 0.8437 × 207≈ 175. Therefore, to the nearest whole number, Liam's commute would be between 46 and 60 minutes for 175 days.
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To find the 95% confidence interval for the population standard deviation using the bootstrap method. You repeatedly sample with replacement from the sample, tens of thousands of times. For each sample, you compute the sample standard deviation. What is the next step? Group of answer choices
what does it mean?
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Which is the solution set of the inequality 15 y minus 9 less-than 36
The solution set to the inequality is y < 3
How to determine the solution set to the inequalityFrom the question, we have the following parameters that can be used in our computation:
15 y minus 9 less-than 36
So, we have
15y - 9 < 36
We can simplify it by adding 9 to both sides:
15y < 45
Then, we can isolate y by dividing both sides by 15:
y < 3
Hence, the solution is y < 3
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Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.
What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?
36.9°
41.4°
48.6°
53.1°
Answer: 48.6°
Step-by-step explanation:
Angle of elevation = sin inverse (6/8)
= 48.6 degrees
Therefore, Option C is right answer
3 times as many green marbles as red ones. what is the ratio of red marbles to green marbles
43) A sock factory packs 5 pairs of socks to a package. How many packages can they pack with 3,000 pairs of socks?
The factory can pack 600 packages with 3,000 pairs of socks.
What is a sock factory?
A sock factory is a place where socks are manufactured and produced for sale. Socks are a type of clothing item worn on the feet to protect them and provide comfort. A sock factory packs its produced socks into packages of a certain quantity, usually for convenience and easier transportation and storage.
The number of packages they can pack with 3,000 pairs of socks can be calculated by dividing the total number of pairs by the number of pairs per package:
3,000 / 5 = 600
So, the factory can pack 600 packages with 3,000 pairs of socks.
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Please help
find All disuntiniteas
Log x + 4x³
——————
X
I believe the expression you provided is:
(log(x) + 4x^3) / x
To find the discontinuities of this expression, we need to identify any values of x that would cause the expression to be undefined. These values are called the discontinuities.
There are two types of discontinuities to look for:
Removable discontinuities: These occur when a function is undefined at a certain point but can be made continuous by redefining the function at that point.
Non-removable discontinuities: These occur when a function is undefined at a certain point and cannot be made continuous by redefining the function at that point.
To find the discontinuities of the given expression, we need to look for values of x that would make the denominator equal to zero, as this would result in a non-removable discontinuity.
So we solve the equation:
x = 0
This means that x cannot be equal to zero, as it would make the denominator zero and the expression undefined.
Therefore, the only discontinuity of the expression is at x = 0.
Note that there are no removable discontinuities in this expression, as the expression is continuous everywhere except at x = 0.
Solve the following system of equations. fill in the x-value and the y-value in the ordered pair below. y = 3x-5 2x-5y=25
Answer:
(0, -5)
Step-by-step explanation:
To solve the system of equations:
y = 3x - 5 (1)
2x - 5y = 25 (2)
We can use the substitution method or the elimination method to find the values of x and y that satisfy both equations.
Let's use the substitution method:
Start with equation (1): y = 3x - 5
Substitute this expression for y into equation (2) wherever y appears:
2x - 5(3x - 5) = 25
Distribute the -5 to both terms inside the parentheses:
2x - 15x + 25 = 25
Combine like terms:
-13x + 25 = 25
Subtract 25 from both sides to isolate x:
-13x = 0
Divide both sides by -13 to solve for x:
x = 0
Now, we can substitute the value of x we found into equation (1) to find the value of y:
y = 3(0) - 5
y = -5
So the solution to the system of equations is x = 0 and y = -5. The ordered pair representing the solution is (0, -5).
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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ing One Step Equations - Barb knows that she needs 8.5 hours of sleep every night to feel rested and sharp. If Barb has been getting her 8.5 hours of sleep every night, write and solve an equation that represents the number of perfect nights of sleep she's had, if she's had 3102.5 hours of sleep.
I've been stuck on this for sooo longgg:((
Answer:
x=3102.5/8.5 is your answer
Step-by-step explanation:
Question 2(Multiple Choice Worth 2 points)
(Rewriting Rational Numbers LC)
Which number gives the exact value of 45?
6
O
4.83
6
29
4.8
hj
The computation shows that the examples of values that will give the exact value of 45 will be:
✓9 × 156 × 9✓25 × ✓81How to compute the value?It should be noted the information is incomplete as the options aren't given and not properly written.
In this case, the examples will be given:
An example of value that will give 45 will be:
= ✓25 × ✓81
= 5 × 9
= 45
The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.
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A store has apples on sale for $7.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $28.00? Complete the explanation.
Answer:
Approx 24 apples.
Step-by-step explanation:
So, you have $28. 1st find out how much a lb. of apples cost. So divide 7/2 to get $3.50. A pound of apples cost $3.50. After that divide 16oz(1 lb) by 5 oz. to get 3.2. So you can get approx 3 apples for the price of $3.50. With $7 you get 6 apples. For 2 more pounds, that'd be 12 with only $14 spent. For another 2 that'd be 18 with $21 spent. For another 2 that'd be 24 with $28 spent.
How is 24,902 written in expanded form?
2,000 + 400 + 90 + 2
24,000 + 900 + 2
20,000 + 4,000 + 90 + 2
20,000 + 4,000 + 900 + 0 + 2
Answer:
D
Step-by-step explanation:
Because 24000 + 900 = 24900 then 0, and 2 added is 24902
Which of these expressions is the simplified form of the expression (StartFraction sine (x) Over 1 minus cosine squared (x) EndFraction) tangent (StartFraction x Over 2 EndFraction) ?
Given:
\(\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)\).
To find:
The expression, which is equivalent to the given expression.
Solution:
We have,
\(\dfrac{\sin (x)}{1-\cos ^2 (x)}\tan \left(\dfrac{x}{2}\right)\)
\(=\dfrac{\sin (x)}{1^2-\cos ^2 (x)}\times \dfrac{1-\cos (x)}{\sin (x)}\) \([\because \tan \left(\dfrac{x}{2}\right)=\dfrac{1-\cos (x)}{\sin (x)}]\)
\(=\dfrac{\sin (x)}{(1-\cos (x))(1+\cos (x))}\times \dfrac{1-\cos (x)}{\sin (x)}\) \([\because a^2-b^2=(a-b)(a+b)]\)
Cancel out the common factors.
\(=\dfrac{1}{1+\cos (x)}\)
Therefore, the correct option is C.
Given question is incomplete; find the complete question in the attachment.
Simplified form of the given trigonometric expression will be represented by Option C.
Given expression is,
\([\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )\)\([\frac{\text{sin(x)}}{1-\text{cos}^2(x)}]\tan(\frac{x}{2} )=\frac{\text{sin(x)}}{1-\text{cos}^2(x)}\times \frac{1-\text{cos}x}{\text{sinx}}\) [Since. \(\text{tan}\frac{x}{2} =\frac{1-\text{cosx}}{sinx}\)]
\(=\frac{1-\text{cos}x}{(1-\text{cosx})(1+\text{cosx})}\)
\(=\frac{1}{1+\text{cosx}}\)
Therefore, Option C will be the correct option.
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question in picture thank you
The correct equation is: 5/6 - 1/6 = 4/6
What you mean by term Number line ?A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.
On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.
According to question Option D is correct
This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).
So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.
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If agent D was able to reduce their average Handling Time by 10% what would thier average handling time be
The new average handling time for Agent D would be 90% of their original handling time.
What are Percentages?A percentage is a way of expressing a number as a fraction of 100. It is typically represented using the percent sign (%) and is often used to describe the amount or proportion of something in relation to a whole. Percentages are commonly used in a variety of fields, such as finance, mathematics, and statistics.
Let's say the original average handling time for Agent D was "x" units (e.g. seconds, minutes, etc.). If Agent D was able to reduce their average handling time by 10%, their new average handling time would be:
New average handling time = x - 0.1x
Simplifying the expression on the right-hand side:
New average handling time = 0.9x
Therefore, the new average handling time for Agent D would be 90% of their original handling time.
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find the steps to find the inverse
The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)
what are inverse functions?An inverse function in mathematics is a function that "undoes" another function.
In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.
An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.
How to find the inverse functionThe given function is of the form
f(x) = x^(7/9), this is equivalent to ⁹√x⁷
say f(x) = y, then
f(x) = y = x^(7/9)
y = x^(7/9)
solving for the inverse, of y = x^(7/9)
y = x^(7/9)
y^(9/7) = x
interchanging the letters
y = x^(9/7)
hence the inverse function is solved to be f⁻¹(x) = x^(9/7)
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Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v, and w.
u = i + j
v = j + k
w = i + k
Answer:2
Step-by-step explanation: