Answers
x = 8/2 - 5y/2
x = 4 - 2.5 y
or
x = 4 - 5/2 y
Related Questions
Last year, 120 new houses were built in a neighborhood. So far this year, 56 of them have been sold. How many new houses have been sold this year?
Answers
right?
Please help me with question 26
Answers
-----------------------------------------------------
angle AEB = angle GEC
5x = 3x+10
5x-3x = 10
2x = 10
x = 5
angle GEC = 3x+10
angle GEC = 3*5+10
angle GEC = 25 degrees
Angle FEG = 90 - (angle GEC)
Angle FEG = 90 - 25
Angle FEG = 65 degrees
The area of a circle is 225 pie square inches. Find the area of the sector whose central angle is 45°.
Answers
The central angle for whole circle is 360°, it means that angle 45° has 45/360=1/8 part of the circle.
If the area of the circle is 225π, then the area of the sector 45° is 225π/8≈28.125π (in.²)
answer: 28.125π in².
The area of the sector of the circle is 28.125π inches²
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle
The total internal angle is 360° about the centre
The area of the sector of the circle = ( θ / 360° )πr²
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
Given data ,
Let the area of the circle be = A
The value of A = 225 inches²
Now , the area of the sector whose central angle is 45° is calculated by
The area of the sector of the circle = ( θ / 360° )πr²
Substituting the value for θ = 45° , we get
Area of the sector of the circle = ( 45/360 ) x 225
= ( 1/8 ) x 225
= 28.125 inches²
Therefore , the area of the sector is 28.125 inches²
Hence , The area of the sector of the circle is 28.125π inches²
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the price of a tablet was reduced from $250 to $200. By what percentage was the price of the tablet reduced? Please help me solve this.
Answers
it doesn't interfere with 200.
On the surface of the moon, the value of g is 1.67 m/s2. What is the horizontal distance traveled during a 2.00-meter high jump if the jumper runs as at 20 miles per hour?
Answers
h= 1/2 gt^2
2= 1/2 * (1.67) t^2
t^2= 1.67
t= 1.29
If the speed is 20 mph and the jump is 2 second, the distance traveled would be:
20 miles/ hour * 1.29 second * (1 hour/3600second)= 0.007179 miles
If you need to convert it to meter then: 0.007179 mile * 1609.34meter/ mile= 11.55 meter
how to discriminant of each quadratic equation then state the number and type of solutions. yall fr help me
Answers
Note, 1. the rules marked with blue colour, the solutions marked by red; 2. solutions are given shortly.
Final answer:
The discriminant of a quadratic equation determines the number and type of solutions.
Explanation:
The discriminant of a quadratic equation can help determine the number and type of solutions.
If the discriminant is greater than zero, there are two real solutions.
If the discriminant is zero, there is one real solution.
If the discriminant is negative, there are no real solutions.
identify the roots of -3x^3-21x^2+72x+540=0. State the multiplicity of each root.
Answers
y = -3*(x - 5)*(x+6)^2
(x - 1) has a multiplicity of 1 and (x + 6) has a multiplicity of 2 <<<=== answer
The graph can be found at wolframalpha
google it.
Suppose you have two credit cards. The first has a balance of $410 and a credit limit of $1,000. The second has a balance of $510 and a credit limit of $1,000. What is your overall credit utilization? 36% 56% 46% 16% 26%
Answers
In the same way, I will add the balances of each card for a total of $920 and get the percentage of remaining balance:
(sum of balances of two cards) ÷ (sum of credit limits of two cards)
($410 + $510) ÷ ($1000 + $1000) = 0.46 or 46%
Note:
But I have an argument because isn't it that credit utilization is the "percentage used" of the credit limit and for that, I have to subtract 46% from 100% which is 54% and that is not an included in the option
That means you use [tex] \frac{920}{2000} [/tex]. Percent means "out of 100" so we wish to write this fraction with 100 in the denominator (the bottom). We do this by dividing the top (numerator) and bottom (denominator) by the same number. Here we use 20. That gives us [tex]\frac{920}{2000}= \frac{46}{100} =46%[/tex]
A population of 1200 leopards decreases by 12% per year. How many leopards will there be in the population after 6 years? Round your answer to the nearest whole number
Answers
Jennifer made 5 liters of punch for her party. Her brother made another 750 mL. If they combine the two batches, how many 180mL servings would they have? Would there be any punch left over? If so how much? Please respond with the answer of how much of the two batches combined and how many 180mL there are
Answers
1 liter----------------> 1000 ml
Jennifer punch is 5 liters----------------> 5*1000=5000 ml
Her brother punch-------------------------> 750 ml
[total two batches]=(5000+750)----------> 5750 ml
the answer part A) is 5750 ml
Part B) how many 180 mL servings would they have?
[180 mL servings]=5750/180=31.94-----------> 31
they would have 31 (180 ml servings)
punch left over=[5750-31*180]=170 ml
there would be 170 ml of punch left over
Find the reference angle for 697 degrees
Answers
Rhoads earned $324.65 delivering newspapers. She promised her sister 0.2 of her earnings for helping her.How much does Rhoads owe her sister?
Do I have to subtract?? if not help me solve plz
Answers
(owed to sister) = 0.2*(earnings)
.. = 0.2*$324.65
.. = $64.93
Rhoads owes her sister $64.93.
which of the following shows an equivalent expression to (5 times 3)times 12 if only associative property was used to transform the expression
Answers
⇒Associative Property states
A × (B ×C)=(A×B)×C=(A×C)×B
Now, we have to find equivalent expression of
[tex](5 \times 3) \times 12 \\\\1.\rightarrow 5 \times (3 \times 12)\\\\2.\rightarrow (5 \times 12) \times 3\\\\3 \rightarrow 180[/tex]
the value of the building owned by two veterinarians went from 125000 to 117500. What is the percent decrease
Answers
125000 - 117500 = 7500
Percentage of decrease = 7500/125000 x 100 = 6%
A student is raising money for a homeless shelter. A local business agrees to donate an additional 20% of what the student raises, while a local politician also agrees to donate an additional 10% of what the student raises. If the student raises $600.00, how much will be donated?
Answers
Answer: the answer is $780.00
Step-by-step explanation:
$600.00 x .20 = $120.00
$600.00 x .10 = $60.00
Total:
$600.00 + $120.00 + $60.00 = $780.00
Answer:
780
Step-by-step explanation:
A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The cost per photo varies inversely with the number of photos a customer buys, as shown in the table below. What functions model the data?
Answers
we have that
for c=5 and n=20------------> n*c=20*5=100
for c=2.5 and n=40------------> n*c=40*2.5=100
for c=2 and n=50------------> n*c=50*2=100
for c=1.25 and n=80------------> n*c=80*1.25=100
therefore
the function that models the data is n*c=100
the answer is nc=100
Your answer is nc=100
The length of time that an auditor spends reviewing an invoice is approximately normally distributed with a mean of 600 seconds and a standard deviation of 100 seconds. what is the probability that an auditor will spend more than 12 minutes on an invoice?
Answers
Explanation:
Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.
Now, we get the z-score for 720 seconds by the following formula:
[tex]\text{z-score} = \frac{x - \mu}{\sigma} [/tex]
where
[tex]t = \text{time for the auditor to finish his work } = 720 \text{ seconds} \\ \mu = \text{average time for the auditor to finish his work } = 600 \text{ seconds} \\ \sigma = \text{standard deviation } = 100 \text{ seconds}[/tex]
So, the z-score of 720 seconds is given by:
[tex]\text{z-score} = \frac{x - \mu}{\sigma} \\ \\ \text{z-score} = \frac{720 - 600}{100} \\ \\ \boxed{\text{z-score} = 1.2}[/tex]
Let
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:
[tex]P(t \ \textgreater \ 720) \\ = P(z \ \textgreater \ 1.2) \\ = 1 - P(z \leq 1.2) \\ = 1 - 0.885 \\ \boxed{P(t \ \textgreater \ 720) = 0.115}[/tex]
Hence, there is 11.5% chance that the auditor will spend more than 12 minutes in an invoice.
The probability that an auditor will spend more than 12 minutes on an invoice is approximately 88.49%.
Calculate the probability an auditor will spend more than 12 minutes on an invoice using the Z-score formula for a normal distribution.
The probability that an auditor will spend more than 12 minutes on an invoice can be calculated using the Z-score formula for a normal distribution.
Calculate the Z-score: Z = (12*60 - 600) / 100 = -1.2.Find the probability corresponding to this Z-score using a standard normal distribution table. P(Z > -1.2) = 0.8849.Therefore, the probability that an auditor will spend more than 12 minutes on an invoice is approximately 88.49%.Ms Cohen gave a riddle: A string is 2 meters longer than a rod. Half of the rod is 1 meter shorter than half of the string. Is this true or false?
Answers
y: length of the string.
x: length of the rod.
We have the following equation:
y = x + 2
Half of the rod is 1 meter shorter than half of the string
x/2 = y/2-1
Let's rewrite equation 1 to see if it's true:
y = x + 2
(1/2) * y = (1/2) * (x + 2)
(1/2) * y = (1/2) * x + 1
(1/2) * x = (1/2) * y-1
Answer
this is true
(1/2) * x = (1/2) * y-1
Henry sells rings for $8 each. His expenses are $1.50 per ring, plus $91 for supplies. How many rings does he need to sell for his revenue to equal his expenses?
Answers
Answer:
14 rings.
Step-by-step explanation:
in order to calculate how many rings does he have to sell to break even we first have to calculate the profit that he has on the sell of every ring from which he can take money to pay per supplies, so that would be the selling price minues expenses:
8-1.5=6.5
Now we have to divide the 91 in supplies by the profit:
91/6.5=14
So he has to sell 14 rings in order to break even between expenses and supplies.
Henry needs to sell approximately 14 rings to cover his expenses, which include $1.50 per ring and $91 for supplies, with each ring priced at $8.
To find out how many rings Henry needs to sell for his revenue to equal his expenses, you can set up an equation.
Let's denote the number of rings he needs to sell as "x."
Revenue from selling x rings = Expenses
Revenue is calculated as the price per ring multiplied by the number of rings sold, which is $8x.
Expenses consist of the cost per ring and the supplies cost, which is $1.50x + $91.
So, the equation becomes:
$8x = $1.50x + $91
Now, let's solve for x:
Subtract $1.50x from both sides of the equation:
$8x - $1.50x = $1.50x + $91 - $1.50x
$6.50x = $91
Now, divide both sides by $6.50 to find the value of x:
x = $91 / $6.50
≈ 14
Therefore, Henry needs to sell approximately 14 rings for his revenue to equal his expenses.
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Where a is determined by the conditions x2 + y2 ≤ 1 and x + y ≥ 1?
Answers
Efetue as divisões X ao cubo+10x+29x+20:x ao quadrado+5x+4
Answers
x + 5
---------------------------------
x^2 + 5x + 4 | x^3 + 10x^2 + 29x + 20
- x^3 + 5x^2 + 4x
----------------------------
5x^2 + 25x + 20
- 5x^2 + 25x + 20
-------------------------
0
(x^3 + 10x^2 + 29x + 20) / (x^2 + 5x + 4) = x + 5
Could someone help me with this?
Answers
*Take note that 12x and 6x are put together because they are like terms.
For Steps 3 and 4, you will see that the addition property of equality was used in STEP 3. To keep the equation equal, you will add the same number on both sides.
STEP 4 uses Division property of Equality. Like Step 3, to keep both sides of the equation equal, you must divide both sides with the same number. It keeps the statement true by doing so.
STEP 4 and 5 uses transitive property if you examine both as a whole.
Transitive property assumes that if a = b and b = c, then a = c
If 18/18 (a) = 1 (b), and x (c) = 18/18(a) then, x (c) = 1 (b).
You have 10 different video games. how many different ways can you arrange the games side by side on a shelf
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option 1.
for the 1st place 10 games, for the 2d place - 9 games, for the 3d - 8, etc., for the 10th place - 1 game. Then, using the rule of 'logic &': 10*9*8*7*6*5*4*3*2*1=3628800 ways.
option 2.
using formula of permutations (Pₓ=x!): P₁₀=10!=3628800 ways.
Answer: 3628800.
You can arrange the games side by side on a shelf in "3628800" ways.
According to the question,
Number of video games,
10Now,
The amount of possible ways could you place the games side by side on some kind of shelf will be:
= [tex]10![/tex]
= [tex]10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
= [tex]3628800[/tex]
Thus the response above is appropriate.
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(Multiple Choice Worth 4 points) (05.01)A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?
A 18 square feet
B 32.5 square feet
C 65 square feet
D 130.5 square feet
Answers
So, when finding area, we need to remember that the key point if this is to (multiply).
We would need to make sure that we do not get confused with (perimeter) and area.
We are going to multiple, sense the question stated "What is the area of the flower bed?".
To begin, what are the [tex](formula) [/tex] that we would use?
We will use . . . [tex] \left[\begin{array}{ccc}\boxed{A= \frac{ h_{b}b }{2}} \end{array}\right] [/tex]
By using this, we would plug in the numbers to get your area.
[tex] \left[\begin{array}{ccc}\boxed{\boxed{13*5=65/2=32.5}}\end{array}\right] [/tex]
Your correct answer would be (option B)
[tex]\boxed{32.5} \ square \ feet[/tex]
I hope this helps you!
Answer:
b
Step-by-step explanation:
Factor each expression: 5a-25
Answers
= 5(a-5)
----------------------
hope it helps
Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last year?
Answers
What has an infinite number of points extending in opposite directions that has only one dimension
Answers
The answer to your question is a line. A line infinitely extends in opposite directions and it has an infinite number of points. It only has one dimension.
Now because the question doesn't say 'extends infinitely' and it JUST SAYS 'has an infinite number of points, a line segment could be a correct answer too because points are infinitely small. Don't write this answer though because I know the answer your teacher is looking for is a 'line.'
I really hope this helps!
Best wishes :)
Finally, 43 is 5% of what number?
Use the simplified ratio to find the equivalent ratio with a numerator of 43.
Enter your answer in the box.
43 is 5% of __?
Answers
43 ÷ 1/20 = 43 * 20/1 = 860 ← answer
Final answer:
43 is 5% of 860.
Explanation:
To find out what number 43 is 5% of, we can set up a proportion where 5% (or 0.05 when written as a decimal) is equal to 43 over an unknown total number X.
The formula to calculate this is part = percentage imes total, which in this case turns into 43 = 0.05 * X.
To solve for X, divide 43 by 0.05, giving us X = 43 / 0.05 which equals 860.
Therefore, 43 is 5% of 860.
a total of 324 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adults tickets sold how many adult tickets were sold?
Answers
The correct answer is 81
Final answer:
To find the number of adult tickets sold when a total of 324 tickets were sold for a school play and student tickets were three times the number of adult tickets, we set up the equation x + 3x = 324, solved for x, and found out that 81 adult tickets were sold.
Explanation:
The question is asking us to find out how many adult tickets were sold when a total of 324 tickets were sold for a school play, with the number of student tickets being three times the number of adult tickets sold. To solve this, we let x represent the number of adult tickets. Therefore, 3x will represent the number of student tickets since there are three times as many student tickets as adult tickets.
The equation representing the total number of tickets sold would be: x (adult tickets) + 3x (student tickets) = 324. Simplifying, we have 4x = 324. Dividing both sides by 4 gives us x = 81.
Therefore, the number of adult tickets sold is 81.
Mr. jones has two children. the older child is a girl. what is the probability that both children are girls?
Answers
Hope this helps!
Final answer:
Given that the older child is already a girl, the probability that both children of Mr. Jones are girls is 50%, assuming an equal chance of having a boy or a girl.
Explanation:
The question is asking about the probability that both children of Mr. Jones are girls, knowing that the older child is already a girl. Since the older child is a girl, we only need to consider the probability that the second child is a girl. In a typical scenario where the probability of having a boy or a girl is equal (assuming a 50% chance for each), the probability that the second child is a girl, given that the family already has one girl, is simply 0.5 or 50%. Therefore, in this case, the probability that both children are girls is 50%.