The number of new phone sold is 1 and the number of old phone sold is 5, if the sales for the day totals $625.
It is given that
A new phone sells for $250
and a used one sells for $75
Let number of new phone is sold = x
and number of old phone is sold = y
Here the total profit for the day is $625
So, 250x + 75y = 625
or 10x + 3y = 25
Now the value of x and y satisfy the above equation, if we take x = 2 and more than 2, it is clear that it not satisfy the above equation. So we made a conclusion here x must be equal to 1 here.
Now, if x = 1
10(1) + 3y = 25
3y = 15
y = 5
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A ping-pong ball rolls forward 6 meters, and bounces backward 3 meters. It traveled a total distance of:.
The distance traveled by the ping-pong ball as it rolls forward 6 meters and bounces backward 3 meters is 3 meters.
Distance is a concept that is important to understand in physics and mathematics. It refers to the amount of space between two points. In this scenario, we will be discussing the distance traveled by a ping-pong ball as it rolls forward and bounces backward.
When the ping-pong ball rolls forward, it covers a distance of 6 meters. This can be represented mathematically as d1 = 6 meters.
When the ball bounces backward, it covers a distance of 3 meters. This can be represented as d2 = -3 meters which means the negative sign indicates that it is moving in the opposite direction.
The total distance traveled by the ball can be found by adding the distance traveled in each direction. This can be represented as
=> d = d1 + d2 = 6 + (-3) = 3 meters.
In other words, the total distance traveled by the ball is 3 meters, which is the net distance covered after taking into account both the forward and backward movements.
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Special Triangle Segments......
3. Find the value of the variable given the triangles are similar. Answer the additional questions. Show all work. Name the property you used in your problem.
The value of x is 20 and the property is similar triangle
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
Since ∆ ADC and IJH are similar, the ratio of their corresponding sides are equal.
Therefore,1.2/12 = 2/x
1.2x= 12×2
x = 24/1.2
x = 20
Therefore the value of x is 20
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Mr. Lee's house has two stories and an attic. The first floor is
9½ feet high, the second floor is 8 3/4 feet high, and the entire
house is 24 7/12 feet high. What is the height of the attic?
The height of the attic in Mr. Lee's house is 6 1/3
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.
Mr. Lee's house has two stories and an attic. Therefore:
Height of entire house = height of first floor + height of second floor + height of attic
The first floor is 9½ feet high, the second floor is 8 3/4 feet high, and the entire house is 24 7/12 feet high
9 1/2 = 19/2; 8 3/4 = 27/4; 24 7/12 = 295/12. Let x represent the height of the attic. Substituting:
x + 19/2 + 35/4 = 295/12
x = 19/3
x = 6 1/3
The height of the attic is 6 1/3
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how to calculating rf values?
Answer:
Step-by-step explanation:
Rf values (retention factor values) are used in thin layer chromatography (TLC) to measure the separation of components in a mixture. They are calculated as follows:
Rf = (distance traveled by the solute) / (distance traveled by the solvent)
The distance traveled by the solute is measured from the origin (the spot where the sample was applied) to the final position of the solute on the TLC plate. The distance traveled by the solvent is measured from the origin to the solvent front (the point where the solvent stops moving up the plate).
It is important to note that Rf values are unique to each solute and are dependent on the solvent used, the type of TLC plate, and the conditions of the experiment (such as the temperature and humidity). To ensure accurate comparison of Rf values, it is necessary to standardize the conditions of the experiment.
Calculating Rf values is a crucial step in the interpretation of TLC data, as it allows for the identification of the components of a mixture based on the unique Rf values of each solute.
Can someone pls help me
Answer:10 or 25
Step-by-step explanation:
just add both or times them
5+5 or 5x5
In a perfectly symmetrical distribution:
a. the range equals the interquartile range.
b. the interquartile range equals the mean.
c. the median equals the mean.
d. the variance equals the standard deviation.
In a perfectly symmetrical distribution, the median equals the mean. This means that half of the values in the distribution fall below the mean and half fall above it. So , the correct option is C.
In a perfectly symmetrical distribution, the median equals the mean. This means that half of the values in the distribution fall below the mean and half fall above it. The mean and median are both measures of the central tendency of a distribution and in a symmetrical distribution, they are the same value.
Option (a) is false because the range is the difference between the largest and smallest values in a distribution, whereas the interquartile range is the difference between the first quartile (25th percentile) and the third quartile (75th percentile), which are measures of variability.
Option (b) is false because the interquartile range is always smaller than the mean in any distribution, symmetrical or not.
Option (d) is false because in a symmetrical distribution, the variance and standard deviation may be equal, but this is not always the case.
So , the correct option is c.
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Sarah needs to earn a C in her Algebra class. Her current test scores are 69, 75, 65, and 83. Her final exam is worth 4 test scores. In
order to earn a C Sarah's average must lie between 70 and 79 inclusive. What range of scores can Sarah receive on the final exam to
earn a C in the course?
s final exam scores[
(Type an integer or a simplified fraction.)
Answer:
Sarah must get between a 67 and 85.
Step-by-step explanation:
69 + 75 + 65 + 83 = 292
70 ≥ 1/8(292 + 4x) ≥ 79
70 ≥ 0.5x + 36.5 ≥ 79
67 ≥ x ≥ 85
The lengths of two sides of a triangle are 4 inches and 7 inches.
What is a possible length, in inches, of the third side?
A possible length, in inches, of the third side is equal to 4 inches.
What is the triangle inequality theorem?In Euclidean geometry, the Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than or equal (≥) to the third side of the triangle.
Mathematically, the Triangle Inequality Theorem is represented by this mathematical expression:
b - c < n < b + c
Where:
n, b, and c represent the side lengths of this triangle.
By applying the Triangle Inequality Theorem, the possible side lengths of the triangle's third side is given by:
b - c < n < b + c
7 - 4 < n < 7 + 4
3 < n < 11.
Therefore, n could be 4, 5, 6, 7, 8, 9, and 10 inches.
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Need help understanding this question
Answer:
The number of large bars of chocolate sold is:
1/4 x 208 = 52
The number of small bars of chocolate sold is:
208 - 52 = 156
The total amount of money earned from selling the large bars of chocolate is:
52 x e1 = e52
The total amount of money earned from selling the small bars of chocolate is:
156 x 60p = £93.60
To convert e52 to pounds, we need to multiply by the exchange rate. Let's assume that the exchange rate is £1 = e1.20.
So, e52 = £52 x 1.20 = £62.40
Therefore, the total amount of money earned from selling all 208 bars of chocolate is: £62.40 + £93.60 = £156
What is the slope of a line perpendicular to a horizontal line?
The slope of a horizontal line perpendicular to a horizontal line is infinity or undefined.
The slope of a line is the that of the inclination that is makes with a horizontal line.
So, the slope of horizontal line is 1 because the value of tam(0 degrees) is also 1.
A line that is perpendicular to the horizontal line will have a the value of angle to be 90 degrees and we know that,
tan (90 degrees) = undefined/infinity
So, here we are concluding that the slope of any line that is being lying perpendicularly on any horizontally lying line is infinity or undefined.
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write a explicit formula in slope intercept form.
an=-3+5(n-1)
An explicit formula in slope intercept form for the given expression is aₙ = 5n - 8.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided above, we can logically deduce that an equation in slope-intercept form that models the situation is given by:
aₙ = -3 + 5(n - 1)
aₙ = -3 + 5n - 5
aₙ = 5n - 8
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Solve for x. -6 + 14 < -28 AND 3x + 28 <25
A) x < - 1 or x >7
B) -1 < x < 7
C) x < 7
D) There are no solutions.
E) All values of x are solutions
The option representing the solution of the inequality is given as follows:
D) There are no solutions.
How to solve the inequality?The inequality for this problem is defined as follows:
-6x + 14 < -28 and 3x + 28 < 25.
The and operation means that we must solve each inequality, and then obtain the intersection of the two solutions.
The solution to the first inequality is given as follows:
-6x + 14 < -28
6x - 14 > 28
6x > 42
x > 7.
The solution to the second inequality is given as follows:
3x + 28 < 25.
3x < -3
x < -1.
There is no intersection between x > 7 and x < -1, hence the system has no solutions.
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Find the 11th term of the geometric sequence 7, 35, 175
11th term of the given geometric sequence is [tex]a_{n} = 7(5^{n-1})[/tex]
What is Geometric sequence?In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Given geometric sequence = 7,35,175
Nth term of the geometric sequence [tex]a_{n}=a_{1} .r^{n-1}[/tex]
[tex]a_{1}=7[/tex]
[tex]r= \frac{35}{7} =5[/tex]
Nth term of the geometric sequence
[tex]a_{n} = 7(5^{n-1})[/tex]
Hence, the Nth term of the given geometric sequence is [tex]a_{n} = 7(5^{n-1})[/tex]
A zookeeper is preparing to care for snakes in an exhibit. For every
feeding, she needs three mice and an additional two mice for each
snake. How many mice are needed if the number of the snakes is:
A- 10
B-6
C- x
The number of mice needed is given as follows:
a) 10 snakes: 23 mice.
b) 6 snakes: 15 mice.
c) x snakes: (3 + 2x) mice.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.For every feeding, she needs three mice and an additional two mice for each snake, hence the slope and the intercept of the function are given as follows:
m = 2, b = 3.
The function is then defined as follows:
y = 2x + 3.
For 10 snakes, the number of mice is given as follows:
y = 2(10) + 3
y = 23 mice.
For 6 snakes, the number of mice is given as follows:
y = 2(6) + 3
y = 15 mice.
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Solve 1/11 divided by 4
a
one forty fourth
b
44
c
four forty fourths
d
one fifteenth
Answer:
a ) one by forty fourth
Step-by-step explanation:
1/11 ÷ 4
= 1/11 x 1/4
= 1/44
therefore, the answer is one by forty fourth
Hope it's helpful..
2. An apartment is 8m in length, 5m in width and 3M in height. How many people can be invited to a party if each person requires 5m³ of air space?
The apartment can accommodate 24 people if each person requires 5 cubic meters of air space.
Solution:
Given,
Dimension of apartment
l = 8m
b = 5m
h = 3m
So, the volume of the apartment will be,
l*b*h = 8*5*3 = 120 cubic meters
Each person requires 5 cubic meters of air space,
Hence, the total number of persons = 120/5 = 24
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What are the measures of angles Q and R?
187/17 is 11, so x = 11. Substituting 11 in for x gives you 93 for the measure of angle Q and 87 for the measure of angle R.
Which expression is equivalent to 10+5 to the fourth power?
The expression [tex](3 \times 5)^4[/tex] is equivalent to 10+5 to the fourth power.
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To find equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to find the expression into an equivalent form 10+5 to the fourth power
Therefore,
This expression 10+5 to the fourth power could also be given as;
10 + 5 = 15
That is [tex]15^4[/tex]
We can also write as;
[tex](3 \times 5)^4[/tex]
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help fast need done pls.
my brain is playing not smart on me right now
A video game randomly chooses your
car color and type. The probability of
getting a red car is 0.25, and the probability of getting a convertible is 0.40.
Event A = You get a red car.
Event B = You get a convertible.
B A and B are independent events if
• A. The probability of getting a red car or a convertible is 0.10.
• B. The probability of getting a red convertible is 0.
•
C. The probability of getting a red convertible is 0.10.
• D. The probability of getting a red car or a convertible is 0.65.
A and B are independent events if, the probability of getting a red convertible is 0.10
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, in a video game, the probability of getting a red car is 0.25 (event A), and the probability of getting a convertible is 0.40 (event B).
We need to identify the condition for events A and event B being independent events.
We know that,
The events in probability two are independent if event one does not affect the other one.
The formula for independent events =
P(A∩B) = P(A) x P(B).
So,
P(A) = 0.25 and P(B) = 0.40
P(A∩B) = P(A)xP(B)
= 0.25 x 0.4
= 0.10
Hence, the events A and B are independent events if, the probability of getting a red convertible is 0.10
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can u help me with I J and L please!!!
I think I have the answer, but it keeps saying I'm incorrect.
Answer:
B.
D.
Step-by-step explanation:
B is actually 141, not 14.1
(204 plus 98) is more than 250.7
This means that multiplying it by 8.3 would not even make it near 250.7
It would actually be 2506.6
Answer: Your answers are B and D.
What is the answers to 3/4 x 3/4
Answer: 9/16
Step-by-step explanation: Also known as (3/4)^2
1. 3x3/4x4
2. 9/4x4
3. 9/16
You can't simplify anymore because it is in the simplest form already.
What is 4.25 in expanded form?
Answer:
4 + 0.2 + 0.05
Step-by-step explanation:
Teacher's name Height with the heels Height without the heels
Ms. Mathey 190 cm 182.4 cm
Mrs. Meansy 162.5 cm 156 cm
Ms. Cool 140 cm 134.4 cm
Miss Petite cm 155.1 cm
Ms. Lora cm
159.8 cm
The required complete table of heights of teachers is shown in the image attached.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
To calculate the height without heels, we need to subtract 4% of the height with heels from the height with heels. This can be done by multiplying the height with heels by 0.96 (which is equivalent to subtracting 4%):
Height without the heels = Height with the heels x 0.96
Using this formula, we can fill in the chart for each teacher.
Thus, the required complete table has been shown in the image attached.
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Find the coordinates of the circumcenter of ABC with vertices A(-9, -4),
B(-9, 8), and C(-1,0).
The coordinates of the circumcenter are?
Answer:
Step-by-step explanation: 32 because 9 x4 lol
What is the area of the shape for the quilt block? ninety-four and one half in2 one hundred sixty-six and one half in2 189 in2 333 in2
The area of the shape for the quilt block is 166.5 in²
What is an area?The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape
Given that, a quilt has blocks of design on it, we need to find the area of the block,
To find the area of the block = sum of the areas of the right triangle and the rectangle,
Area of the block = 16 × 9 + 6 × 7.5 × 1/2 = 166.5 in²
Hence, the area of the shape for the quilt block is 166.5 in²
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The figure is unavailable is the question is solved for the figure attached
What is the length of segment AC
(Please explain how you got your answer)
The length of the segment AC is 40 units
How to determine the length of the segment ACFrom the question, we have the following parameters that can be used in our computation:
The quadrilateral ABCD is a rhombus
The diagonals of rhombus bisect each other
Using the above as a guide, we have the following:
AC = 2 * EC
Substitute the known values in the above equation, so, we have the following representation
AC = 2 * 20
Evaluate
AC = 40
Hence, the length is 40 uints
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14. 15x5y
= -20
-3x + y = 4
Answer:
The answer is: y=4+3x
Step-by-step explanation:
I know this because I believe we are solving for the system of equations or solving by the system of subtraction.
I will say I am not completely sure this is right but I hope I helped out a little :)
how to convert milliliters to ounces?
From the given data by doing unit conversion, 250 mL is approximately equal to 8.4535 fluid ounces.
Unit conversion is the process of converting a given quantity from one unit of measurement to another.
To convert milliliters (mL) to fluid ounces (fl oz), you can use the following conversion factor:
1 mL = 0.033814 fl oz
To convert, simply multiply the number of milliliters by 0.033814 to get the equivalent volume in fluid ounces.
For example, if you want to convert 250 mL to fluid ounces, you can use the conversion factor as follows:
250 mL × 0.033814 fl oz/mL = 8.4535 fl oz (rounded to four decimal places)
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