Solve for (-8/5) x - 6 = -54
Answer:
x=30
Step-by-step explanation:
-8/5 - 6 = -54
-8x/5 - 6 = -54
-8x/5 − 6 +6 = -54 plus 6
Then Add the numbers and simplify
so then the answer would be x=30
Answer: x=30
Step-by-step explanation:
Help fast Fast Fast Fast
Answer:
0,5
Step-by-step explanation:
Missing number 5 or it can be a 0
This is beacause a number that ends with 0 or 5 is divisible by 5. Divisibilitiy rules state that!
Ex: 5 x 5 = 25
5 x 4 = 20
A length of chain is to be constructed by placing 36 component links end to end. The length of a link produced by a production process is known to be a random variable with a mean of 2.5 cm with a standard deviation 0.2 cm. The 36 links are chosen at random from this process to produce the chain. The mean and standard deviation of the length of chain are, respectively _________.
a. 90 cm, 7.2 cm
b. 36 cm, 1.2 cm
c. 90 cm, 2.7 cm
d. 90 cm, 1.2 cm
e. 36 cm, 7.2 cm
Answer:
d. 90 cm, 1.2 cm
Step-by-step explanation:
Given that:
The sample size n = 36
For the length of the link:
The mean \(\overline x\) = 2.5
The standard deviation s = 0.2 cm
In a chosen 36 links, The mean and standard deviation for the length chain is as follows:
Mean = n\(\overline x\)
Mean = 36×2.5
Mean = 90 cm
The Standard deviation = s×√n
The Standard deviation = 0.2×√36
The Standard deviation = 0.2×6
The Standard deviation = 1.2 cm
express each of the following as Ax^my^n, where xy cannot be equal to 0, A is a real number and m and n are integers
The given expression is:
\((\frac{5x^3y}{12y^5x}\div\frac{x^2y}{x^4y^3})\div\frac{75x^{-2}y^{-2}}{9xy^{-1}}\)This can be simplified as
\(\begin{gathered} \frac{5x^3\times x^{-1}\times y\times y^{-5}}{12}\times\frac{x^4y^3}{x^2y}\times\frac{9xy^{-1}}{75x^{-2}y^{-2}} \\ \frac{5x^2y^{-4}}{12}\times x^2y^2\times\frac{9x^3y}{75} \\ \frac{45x^7y^{-1}}{900} \\ 0.05x^7y^{-1} \end{gathered}\)where A = 0.05, m = 7, n = -1
Which of these statements does the graph show? Check all that apply.
the first one and the last one.
if a city with a population of 500,000 doubles in size every 64 years, what will the population be 256 years from now?
Answer:
8,000,000
Step-by-step explanation:
This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.
Meaning? Well...
500,000 x 2 = 1,000,000 = 64yrs
1,000,000 x 2 = 2,000,000 = 128yrs
2,000,000 x 2 = 4,000,000 = 192yrs
4,000,000 x 2 = 8,000,000 = 256yrs
This is 4 times.
so every time it's doubled, it means the sum of that number times 2.
hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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Manny makes $8.75 an hour working at the video store. His paycheck shows that he worked 37.5 hours over the past week. How much money did Manny make? PS: PLEASE SHOW WORK!!
Answer:
you multiply them together and get 328.125
8.75x37.5= 328.125
write a Pythagorean triplet whose smallest member is 6
Answer:
6, 8, 10
Step-by-step explanation:
Where:
a = 6
b = 8
c = 10
Pythagorean theorem: \(a^2 + b^2 = c^2\)
\(6^2 + 8^2 = c^2\)
\(36 + 64 = c^2\)
\(100 = c^2\)
c = \(\sqrt{100}\)
c = 10
I know that x^2 + y^2 in cartesian coordinates is r^2 in polar coordinates.
However, in my problem, I’m given x^2 + z^2. On a graph, it still forms a circle, except on a different plane than just x^2 + y^2.
Is it okay if I simplify x^2 + z^2 in my work to just r^2, or is that wrong?
Yes, it is okay to simplify x^2 + z^2 to r^2 in your work. This is because in polar coordinates, r represents the distance from the origin to a point, regardless of which plane the point is on.
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\(\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)
\(\textcolor{blue}{\small\textit{If you have any further questions, feel free to ask!}}\)
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Fred is standing at a point looking north. He walks on a bearing 056° for 9.8km before stopping. He then walks an additional 3.5 km on a bearing of 112° before stopping to rest. (a) Find out how far he is away from his start point using sine or cosine rule (b) Determine the area of the enclosed shape (c) Draw neat labeled scale diagram of the same
The area of the enclosed shape is about 14.47 km^2.
We are given that;
056° for 9.8km and 3.5 km on a bearing of 112°
Now,
We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:
y = 180° - 56° - 112°
y = 12°
Now we can use the cosine rule to find z:
z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)
z^2 ≈ 101.87
z ≈ 10.09
Therefore, Fred is about 10.09 km away from his start point.
To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:
sin(56°) = x/9.8
x = 9.8 sin(56°)
x ≈ 8.27
The area of a triangle is given by half the base times the height, so:
A = (1/2)(3.5)(8.27)
A ≈ 14.47
Therefore, by trigonometric ratios the answer will be 14.47 km^2.
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If x - 15 = 30, what is the value of 2(x + 5)?
Answer:
100
Step-by-step explanation:
When ...
x -15 = 30
we can find the value of x by adding 15 to both sides of the equation:
x = 45
To find the value of 2(x +5), we can substitute 45 for x:
2(x +5) = 2(45 +5) = 2(50)
2(x +5) = 100
_____
Alternate solution
Adding 20 to both sides of the first equation gives the value of x+5.
(x -15) +20 = (30) +20
x +5 = 50
The second expression is double this value:
2(x +5) = 2(50) = 100
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Let /_D be an acute angle. Use a calculator to approximate the measure of /_D to the nearest tenth of a degree. sin D = 0.75
The measure of angle D is 48.59 degrees where angle D is acute.
For finding the measure of angle when a trigonometric ratio is given, we use inverse trigonometric functions.
For sine there lies arcsin, for cos, there lies arccos and so on.
Thus, sinD=0.75
∠D = sin⁻¹(0.75)
∠D = 48.59
But since ∠D is acute, thus we have ∠D = 48.59
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Simplify remove all perfect squares from inside the square root assume b is positive
Answer:
Step-by-step explanation:
You take items out of a square root if you have a pair of numbers or if you know the square root.
\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)
So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3
Now for the b's for every pair there are, you can take that out. There are 3 pairs of b's so b³ is outside and one b is left inside.
Answer:
4b³\(\sqrt{3b}\)
Please Solve (c-3)^2=100
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
Liane can read 12 pages of her book in 2 1/2 minutes. How many pages can she read per minute?
Answer:
Step-by-step explanation:
We must divide the number of pages by the number of minutes in order to find how much she would answer per minute.
So, our equation looks like this:
12 ÷ 2 1/2 = rate per minute
= 12 ÷ 5/2 (2 1/2 as an improper fraction) = 4.8 pages
Hope this helped!
Rena, a pharmacy technician, is looking to make a 45%
solution. She has the alligation pictured below.
A.
20
45
Which solution can be used to fill in location A?
O 35
O 40
O45
O 55
The solution that can be used to fill in location A is 45%.
In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.
To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.
In this case, the concentration of 45% is closer to location A than the concentration of 20%.
This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.
Therefore, the solution that can be used to fill in location A is 45%.
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please help me solve that question
Step-by-step explanation:
\(\sin(\theta + \phi) = 2\cos(\theta - \phi)\)
Using the addition identity formulas, we can write
\(\sin{\theta}\cos{\phi} + \cos{\theta}\sin{\phi} = 2\cos{\theta}\cos{\phi} + 2\sin{\theta}\sin{\phi}\)
Dividing both sides by \(\cos{\phi}\), we get
\(\sin{\theta} + \cos{\theta}\tan{\phi} = 2\cos{\theta} + 2\sin{\theta}\tan{\phi}\)
Dividing both sides by \(\sin{\theta}\), we get
\(\tan{\theta} + \tan{\phi} = 2 + 2\tan{\theta}\tan{\phi}\)
or
\(\tan{\theta}(1 - 2\tan{\phi}) = 2 - \tan{\phi}\)
Rearranging the terms,
\(\tan{\theta} = \dfrac{2 - \tan{\phi}}{1 - 2\tan{\phi}}\)
Mr. Rosenberger asked his students to use the distributive property to rewrite the expression 18 (24) by using friendlier numbers. The table below shows the expressions that four students created. Expressions Created by Students Student Expression Aaron 10 + 8 times 4 + 20 Brian 10 + 8 (4 + 20) Cece 18 (4 + 6) Diana 18 (4 + 20)
Answer:
diana
Step-by-step explanation:
Answer:
I think it’s Diana I’m sorry if I’m wrong :P
The volume of a cone is 72 pie, the height is 6cm, what is the radius of the base of the cone
Answer:
r≈3.39
Step-by-step explanation:
I'm not quite sure but it's the best I can do.
Answer:
radius of base = 6 cm
Step-by-step explanation:
In order to calculate the radius of the base of a cone given its volume and height, we have to use the formula for the volume of a cone:
\(\boxed{\mathrm{V = \frac{1}{3} \pi r^2h}}\),
where:
• V ⇒ volume of the cone
• r ⇒ radius of the base of the cone
• h ⇒ height of the cone
The question gives us the value of the volume of the cone (72π cm³) as well as its height (6 cm). By substituting these values into the equation above, we can solve for r to get the radius of the base of the cone:
\(\mathrm{V = \frac{1}{3} \pi r^2h}\)
⇒ \(72 \pi = \frac{1}{3} \times \pi \times r^2 \times 6\)
⇒ \(r^2 = \frac{72 \pi}{2 \pi}\)
⇒ \(r = \sqrt{\frac{72 \pi}{2 \pi}}\)
⇒ \(r = \sqrt{36}\)
⇒ r = 6 cm
Therefore, the radius of the base of the cone is 6 cm.
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
Pls help I’m not good at this
A=-2
B=-1
C=0
D=3
Answer:
d is the correct answer this qestion
please help with this question
Answer:
B. xy(y - x) (y + x)
Step-by-step explanation:
How does a recipient not-for-profit entity record the receipt of a gift that will be transferred without restriction to another charitable entity? What if the donor retains the right to revoke or redirect the gift?
When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
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karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
The zeros of a function P(x)=x2-2x-24
Answer:
x = -4 and x = 6
Step-by-step explanation:
Factor using AC method.
1 × -24 = -24
Factors of -24 that add up to -2 are +4 and -6.
P(x) = (x + 4) (x − 6)
Therefore, zeroes of P(x) are x = -4 and 6.
A new long-life tire has a tread depth of 1/4 inch, instead of the typical 5/32 inch. How much deeper is the new tire?
The tread on the new tire is ____ inch deeper.
Step-by-step explanation:
let's bring both fractions to the same denominator to be able to truly compare them in detail.
32 is already a multiple of 4, so we only need to transform 1/4.
1/4 = 1/4 × 8/8 = 8/32
so, the new tire has a tread depth of 8/32 in compared to the typical 5/32 in.
the tread of the new tire is therefore 3/32 in deeper (8/32 - 5/32 = 3/32).
Decide if the situation involves permutations, combinations, or neither. 5 digit pin codes if no digit can be repeated?
The situation is a combination where 5 digit pin codes has no digit which can be repeated.
Assuming no five-digit number can begin with zero, there are 9 possible choices for the first digit. Then there are 10 possible choices for each of the remaining four digits. Therefore, you have 9 x 10 x 10 x 10 x 10 combinations, or 9 x 10^4, which is 90,000 different combinations.
Combinations are based entirely on grouping. Combinations can be used to determine how many different groups that can be created from the available items.
The techniques used to count the number of outcomes that can occur in different circumstances are permutation and combination. Combinations and permutations are also referred to as arrangements and selections, respectively.
Hence the technique used will be combination.
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