Answer:
Y=3X+3
Step-by-step explanation:
Y=mx+b
m=3
when x=2 and y=3 b=3
Kate has a Major Medical Plan with a 75/25 coinsurance and a deductible of $25. How much will she have to pay if she, not having met any of her deductible, visits the doctor and receives a bill for $125?
Kate will have to pay $56.25 out of pocket for her doctor visit.
The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.
The formula for calculating the amount Kate needs to pay is as follows:
Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible) In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.
Learn more about total cost here:
https://brainly.com/question/28652728
#SPJ4
A number is selected at random from the set (2, 3, 4,... 10). Which event, by definition, covers the entire sample space of this experiment?
A. The number is even or less than 12.
B. The number is not divisible by 5.
C. The number is neither prime nor composite.
D. The number is neither prime nor composite.
The event that, by definition, covers the entire sample space of the experiment is A. The number is even or less than 12.
The sample space in this experiment consists of the numbers {2, 3, 4, 5, 6, 7, 8, 9, 10}. To cover the entire sample space, the event must include all possible outcomes.
Option A states that the number is even or less than 12. Since the set of numbers given only includes integers from 2 to 10, all the numbers in the sample space are less than 12, and half of them (2, 4, 6, 8, 10) are even. Therefore, option A covers the entire sample space. Option B states that the number is not divisible by 5. While this event covers some of the numbers in the sample space (2, 3, 4, 6, 7, 8, 9), it does not include all the numbers, leaving out the number 5. Thus, it does not cover the entire sample space.
Option C states that the number is neither prime nor composite. However, all the numbers in the sample space are either prime (2, 3, 5, 7) or composite (4, 6, 8, 9, 10). Therefore, option C also does not cover the entire sample space. Option D is the same as option C and does not cover the entire sample space.
LEARN MORE ABOUT event here: brainly.com/question/30169088
#SPJ11
In the triangle shown below AB=BC=10
and AC=12.
To
A) 0.4
B) 0.6
C) 0.8
D) 1.2
10
B
12
What is the value of sin ?
10
#
0
point
The answer to this question is C) 0.8. This can be determined using the Pythagorean Theorem.
What is Pythagorean theorem?
The Pythagorean Theorem is one of the most important theorems in mathematics, and it has been used for centuries to solve various mathematical problems. It is a fundamental tool for measuring distances and calculating angles in Euclidean geometry.
The theorem can be expressed as an equation, a^2 + b^2 = c^2, where a and b are the lengths of the sides of the triangle, and c is the length of the hypotenuse. This equation can be used to calculate the lengths of the sides of a right-angled triangle if two of the sides are known.
The theorem states that the sum of the squares of the lengths of the two legs of the triangle is equal to the square of the length of the hypotenuse. In this case, the legs of the triangle are AB and BC, each of which is 10 units long. Therefore, the formula for this triangle is 10² + 10² = 12², or 100 + 100 = 144. Solving this equation shows that the length of the hypotenuse, AC, is equal to 12 units, which is a ratio of 0.8 compared to the lengths of the two legs. Therefore, the correct answer is C) 0.8.
The value of sin can then be determined using the sine formula, which states that the ratio of the length of the side opposite the angle to the length of the hypotenuse is equal to the sine of the angle. In this case, the side opposite the angle is AB, which is 10 units long. The hypotenuse is AC, which is 12 units long. Therefore, the sine of the angle is equal to 10/12, or 0.8. Therefore, the value of sin is 0.8.
For more questions related to triangle,
https://brainly.com/question/2773823
#SPJ1
Triangle xyz is drawn with vertices x(−2, 4), y(−9, 3), z(−10, 7). determine the line of reflection that produces x²(2, 4). y = −2 y-axis x = 4 x-axis
The line of reflection that produces the point x²(2, 4) is the y-axis.
To determine the line of reflection that produces the point x^2(2,4), we need to find the perpendicular bisector of the segment connecting x^2 and its image. Since the reflection in the y-axis changes the sign of the x-coordinate, the image of x^2(2,4) under this reflection is (-2,4).
Therefore, the midpoint of the segment connecting (2,4) and (-2,4) is M(0,4). Since the reflection in the x-axis changes the sign of the $y$-coordinate, the image of x^2(2,4) under this reflection is (2,-4).
The line of reflection that produces x^2(2,4) is the perpendicular bisector of the segment connecting x^2(2,4) and its image, which is the line y = 4.
To know more about line of reflection:
brainly.com/question/23836664
#SPJ4
cathy conducted a survey on the relationship between substance abuse and average annual income of an individual. she divided the annual incomes into three ranges, labelled them as low income, middle income, and high income, and found the groups to be present in the target population in the ratio of 4:5:1. cathy needed a sample of 100 participants. she selected 40, 50, and 10 people from each income group in a manner such that each individual in a subgroup had equal chance of getting selected into the respective subsample. which of the following sampling techniques has cathy used in this scenario?
Cathy has used stratified sampling technique in this scenario.
Stratified sampling is a sampling technique in which the population is divided into non-overlapping subgroups or strata, based on certain characteristics or attributes.
In this scenario, Cathy divided the population into three strata based on annual income range.
She then selected a sample f
rom each stratum in proportion to the size of the stratum in the population. This ensures that each stratum is adequately represented in the sample, and increases the precision and accuracy of the estimates made from the sample.
Thus, stratified sampling allows for more precise estimates to be made for each subpopulation, which can be useful for comparing groups or identifying differences or similarities between subgroups.
to learn more about Stratified sampling click here:
brainly.com/question/30397570
#SPJ11
neeed help with this thanks
freddy
a drew plan for a rectangular piece of material that will use for a blanket. Three of the vertices are (,), (,), and (,). What are the coordinates of the fourth vertex?
The fourth vertex's coordinates are as follows: ( 2.1, -3.6)
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
So, let the missing coordinates be (a,b).
Let's now utilize the midpoint formula to locate the erroneous coordinate.
Let the reference point be (-2.3, 3.6) A.
Let point B be (2.3, 2.2).
(2.1, 2.2) Let C be the point.
The center of AC should be at BD.
Step 1: Locating the AC's midpoint
Middle pint of AC:
(-2.3 + 2.1/2), (-3.6 + 2.2/2)
(0.2/2), (1.4/2)
(-0.1, -0.7)
Let's equate the midpoints in step two.
The BD mid-point:
(a + -2.3/2), (b + 2.2/2) = (-0.1, -0.7)
(a + -2.3/2) = -0.1
(a -2.3/2) = -0.1*2
a = -0.2+2.3
a = 2.1
(b + 2.2/2) = -0.7
b + 2.2 = -0.7*2
b + 2.2 = -1.4
b = -1.4 -2.2
b = -3.6
Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)
Know more about coordinates here:
https://brainly.com/question/29362355
#SPJ1
Complete question:
Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2). What are the coordinates of the fourth vertex?
a ______ is a descriptiion of the approach that is used to obtain samples from a population prior to an data collection activity.
A.
population frame
B.
sampling weight
C.
sampling plan
D.
probability interval
The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.
It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.
The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.
The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.
A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.
To learn more about sampling plan visit:
https://brainly.com/question/18026723
#SPJ4
Jake thinks of a number. He adds 5 then multiplies the result by 2. The answer is the same as 5 times the number then take away 14. what number did Jake think of?
Answer: 8
Step-by-step explanation:
First we must set up the equation.
Jake adds 5 to the number then he multiplies it by 2.
2(x+5)
This is equal to the same number times 5 minus 14.
2(x+5)=5x-14
Distribute.
2x+10=5x-14
Add 14 to both sides.
2x+24=5x
Subtract 2x from both sides.
24=3x.
Divide both sides by 3.
8=x
Answer:
Jake thinks of the number 8.
Hope this helps!
Step-by-step explanation:
Turn the paragraph-given information into an equation:
Adds 5 = x + 5 and then multiplies the result by 2 = ( x + 5 ) * 2
5 times the number = x * 5 then take away 14 = ( x * 5 ) - 14
The same as means :
2 * ( x + 5 ) = ( x * 5 ) - 14
2x + 10 = ( 5x ) - 14
2x + 10 = 5x - 14
2x ( - 2x ) + 10 ( + 14 ) = 5x ( - 2x ) - 14 ( + 14 )
24 = 3x
8 = x
x = 8
If you plug 8 into the two equations, you will find both equations equal 26.
For Questions 16 – 18, refer to the problem below. Consider the following set of simultaneous equations. 3x − 4y = −42 (i)
2x + 6y = 50 (ii)
16. If x is made the subject of the formula in equation (ii), then:
A x = 3y + 25 B x = −3y + 25 C x = −6y + 50 D x = −3y − 25
17. If x is eliminated in equation (i) then:
A −13y = −117 B 13y = −117 C 15y = 124
D 16y = 215
Answer:
Step-by-step explanation:
A bad contains 7 blue counters and 4 yellow counters. Two counters are taken at random without replacement. Draw a probability tree. Find the probability of getting tow counters of the same colour
The probability of drawing two counters of the same color is 54/110, which can be simplified to 27/55.
To solve this problem, we can create a probability tree to visualize the different outcomes and calculate the probabilities.
At the first level of the tree, we have two branches representing the two possible colors of the first counter: blue (B) and yellow (Y).
From each of these branches, we further split into two branches representing the two possible colors of the second counter, considering that we are drawing without replacement.
The probability tree would look like this:
|---------B---------| |---------Y---------|
| | | |
| | | |
B Y B Y
/ \ / \ / \ / \
/ \ / \ / \ / \
B Y B Y B Y B Y
/ \ / \ / \ / \
B Y B Y B Y B Y
To calculate the probability of getting two counters of the same color, we need to sum the probabilities of the favorable outcomes.
In this case, the favorable outcomes are when both counters are blue (BB) or both counters are yellow (YY).
Let's calculate the probability:
P(BB) = (7/11) \(\times\) (6/10) = 42/110
P(YY) = (4/11) \(\times\) (3/10) = 12/110
To find the total probability, we add these two probabilities together:
P(two counters of the same color) = P(BB) + P(YY) = (42/110) + (12/110) = 54/110
For similar question on probability.
https://brainly.com/question/30846562
#SPJ8
Solve for the right triangle.A=56° 41’, c= 253m, C=90°Draw the right triangle.Round side lengths to two decimal places if necessary.I believe they are looking for angle a, B and b since they have B, C and c.
Given the right triangle:
First, we know that ∡A and ∡B are complementary angles
\(\begin{gathered} \measuredangle B=90\degree-\measuredangle A \\ \Rightarrow\measuredangle B=90\degree-56\degree41^{\prime} \\ \Rightarrow\measuredangle B=33\degree19^{\prime} \end{gathered}\)Now, using the trigonometric functions:
\(\begin{gathered} \sin A=\frac{a}{c} \\ \sin B=\frac{b}{c} \end{gathered}\)Finally, using the values of A, B, and c to find a and b:
\(\begin{gathered} \sin 56\degree41^{\prime}=\frac{a}{253}\Rightarrow a=211.42\text{ m} \\ \sin 33\degree19^{\prime}=\frac{b}{253}\Rightarrow b=138.96\text{ m} \end{gathered}\)Summarizing:
\(\begin{gathered} \measuredangle A=33\degree19^{\prime} \\ a=211.42\text{ m} \\ b=138.96\text{ m} \end{gathered}\):
Multiplying Polynomials
Find each product.
1) 6v(2v + 3) 2) 7(−5v − 8)
3) 2x(−2x − 3)
A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
Multiplying Polynomials Find each product. 1) \(6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)\)
To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:
\(6v(2v) + 6v(3)\)
\(= 12v^2 + 18v7(-5v - 8)\)
To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:
\(7(-5v) + 7(-8)= -35v - 562x(-2x - 3)\)
To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:
\(2x(-2x) + 2x(-3)= -4x^2 - 6x\)
for such more question on Polynomials
https://brainly.com/question/4142886
#SPJ4
7/6 * 16/6 in simplest form
Answer:
3.83333333333
Step-by-step explanation:
Yope had $200 to buy food for the community picnic. She bought 11 packages of hot dogs and 8 packages of buns. Each package of hot dogs cost $14.05, and each package of buns cost $3.55. How much money did Yope have left after her purchases?
Answer:
17.05 dollars left
Step-by-step explanation:
11 x 14.05 = 154.55
8 x 3.55 = 28.4
154.55 + 28.4 = 182.95
200 - 182.95 = 17.05
hope this helps you ;)
pls give me brainlest :)
Answer: the answer is b 17.05
Step-by-step explanation:
Show that 0,75 is a rational number
Answer:
Step-by-step explanation:
A decimal is by definition a number between two whole numbers. Specifically, the decimal 0.75 is between 0 and 1. It is a fraction of the number 1. We have that:
\(0.75=\frac{0.75}{1.00}=75/100\)
We can reduce the fraction by dividing the top and bottom by 25 to get:
\(75/100=3/4\)
The correct way to prove 3/4 is rational would probably be to do long division, to see how many times 4 goes into 3. You would get 0.75 times which is rational
2) A 100 cubic centimeter (c * m ^ 3) sample of soil has an initial weight of 225.1 gramsIt is oven dried at 105 deg * C to a constant weight of 220.0 gramsThe sample is then with water and has a weight of 234.6 grams. Next, the sample is then allowed to drain by gravity in an environment of 100% humidity and is reweighted at 222.4 grams. Assuming that 1c * m ^ 3 of water = 1 gram at 15.5°C:
a) Calculate the porosity;
b) Calculate the specific yield; 5y / (v/(Le)) c) Calculate the specific retention
d) Calculate the void ratio;
e) Calculate the initial moisture content;
f) Calculate the initial degree of saturation.
For the sample of soil given a) the porosity is 100.4%; b) the specific yield is 12.2%; c) the specific retention is 14.6%; d) the void ratio is 0.5342; e) the initial moisture content is 2.3%; and f) the initial degree of saturation is 41.97%.
a) The porosity of soil can be defined as the ratio of the void space in the soil to the total volume of the soil.
The total volume of the soil = Initial volume of soil = 100 c.m³
Weight of water added to the soil = 234.6 g – 220 g = 14.6 g
Volume of water added to the soil = 14.6 c.m³
Volume of soil occupied by water = Weight of water added to the soil / Density of water = 14.6 / 1 = 14.6 c.m³
Porosity = Void volume / Total volume of soil
Void volume = Volume of water added to the soil + Volume of voids in the soil
Void volume = 14.6 + (Initial volume of soil – Volume of soil occupied by water) = 14.6 + (100 – 14.6) = 100.4 c.m³
Porosity = 100.4 / 100 = 1.004 or 100.4%
Therefore, the porosity of soil is 100.4%.
b) Specific yield can be defined as the ratio of the volume of water that can be removed from the soil due to the gravitational forces to the total volume of the soil.
Specific yield = Volume of water removed / Total volume of soil
Initially, the weight of the oven dried soil is 220 g. After allowing it to drain by gravity, the weight of soil is 222.4 g. Therefore, the weight of water that can be removed by gravity from the soil = 234.6 g – 222.4 g = 12.2 g
Volume of water that can be removed by gravity from the soil = 12.2 c.m³
Specific yield = 12.2 / 100 = 0.122 or 12.2%
Therefore, the specific yield of soil is 12.2%.
c) Specific retention can be defined as the ratio of the volume of water retained by the soil due to the capillary forces to the total volume of the soil.
Specific retention = Volume of water retained / Total volume of soil
Initially, the weight of the oven dried soil is 220 g. After adding water to the soil, the weight of soil is 234.6 g. Therefore, the weight of water retained by the soil = 234.6 g – 220 g = 14.6 g
Volume of water retained by the soil = 14.6 c.m³
Specific retention = 14.6 / 100 = 0.146 or 14.6%
Therefore, the specific retention of soil is 14.6%.
d) Void ratio can be defined as the ratio of the volume of voids in the soil to the volume of solids in the soil.
Void ratio = Volume of voids / Volume of solids
Initially, the weight of the oven dried soil is 220 g. The density of solids in the soil can be calculated as,
Density of soil solids = Weight of oven dried soil / Volume of solids
Density of soil solids = 220 / (100 – (14.6 / 1)) = 2.384 g/c.m³
Volume of voids in the soil = (Density of soil solids / Density of water) × Volume of water added
Volume of voids in the soil = (2.384 / 1) × 14.6 = 34.8256 c.m³
Volume of solids in the soil = Initial volume of soil – Volume of voids in the soil
Volume of solids in the soil = 100 – 34.8256 = 65.1744 c.m³
Void ratio = Volume of voids / Volume of solids
Void ratio = 34.8256 / 65.1744 = 0.5342
Therefore, the void ratio of soil is 0.5342.
e) Initial moisture content can be defined as the ratio of the weight of water in the soil to the weight of oven dried soil.
Initial moisture content = Weight of water / Weight of oven dried soil
Initial weight of soil = 225.1 g
Weight of oven dried soil = 220 g
Therefore, the weight of water in the soil initially = 225.1 – 220 = 5.1 g
Initial moisture content = 5.1 / 220 = 0.023 or 2.3%
Therefore, the initial moisture content of soil is 2.3%.
f) Initial degree of saturation can be defined as the ratio of the volume of water in the soil to the volume of voids in the soil.
Initial degree of saturation = Volume of water / Volume of voids
Volume of water = Weight of water / Density of water
Volume of water = 14.6 / 1 = 14.6 c.m³
Volume of voids in the soil = 34.8256 c.m³
Initial degree of saturation = 14.6 / 34.8256 = 0.4197 or 41.97%
Therefore, the initial degree of saturation of soil is 41.97%.
Learn more about Porosity:
https://brainly.com/question/12859120
#SPJ11
What is time managment? Question 1 options: The ability to use your time productively and efficiently. The art of having time to do everything that you need. The process of planning and controlling how much time to spend on specific activities.
The process of planning and controlling how much time to spend on specific activities.
What is time managment?Time management is the process of planning and controlling how much time to spend on specific activities in order to use your time productively and efficiently.
It involves setting goals, prioritizing tasks, creating schedules and to-do lists, and monitoring progress to ensure that time is used effectively.
Effective time management can help individuals to complete tasks and achieve their goals in a timely manner, reduce stress, and increase productivity.
Read more about time managment at
https://brainly.com/question/30361724
#SPJ1
URGENT!!
1. Given the equation 3x – 4y = 24.
a) Find two solutions to the equation. Write your answer as coordinates.
b) Using your answers from part a, what is the slope of the given equation.
c) Convert the given equation into slope-intercept form.
Answer:
(0, -6) and (8, 0)
\(\dfrac{4}{3}\)
\(y=\dfrac{3}{4}-6\)
Step-by-step explanation:
(a) \(3x-4y=24\)
Let \(x=0\)
\(0-4y=24\\\Rightarrow y=-6\)
Let \(y=0\)
\(3x-0=24\\\Rightarrow x=8\)
Two coordinates are (0, -6) and (8, 0)
(b) Slope is given by
\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\dfrac{0-(-6)}{8-0}\\\Rightarrow m=\dfrac{3}{4}\)
The slope of the equation is \(\dfrac{4}{3}\)
(c)
\(3x-4y=24\\\Rightarrow 4y=3x-24\\\Rightarrow y=\dfrac{3}{4}-6\)
The slope intercept form of the equation is \(y=\dfrac{3}{4}-6\)
14% out of 100% equals how many people out of 10?
Answer:
1.4 people out of 10
Step-by-step explanation:
Just divide it by 10
Answer:
only 4 people
Calculate the measure of ABC to the nearest tenth of a degree.
Answer:
I had done rough method on the page
Step-by-step explanation:
I think first once is correct ...
Carly needed to study for 5/6 of an hour for 9 days. How many hours did she study?
A. 9 5/6 hours
B. 7 1/2 hours
C. 2 1/7 hours
D. 7 hours
Answer:
B. 7 1/2 hours
Step-by-step explanation:
5/6 times 9 can be written as 5/6 times 9/1. Then, you just multiply the numerators (the top numbers), and then multiply the denominators (the bottom numbers). 5x9=45, and 6x1=6, so 5/6 times nine is 45/6, or 7 1/2.
Plz help I’ll give brainliest
Answer:
b
Step-by-step explanation:
how to multiply matrices with different dimensions
The number of columns in the first matrix must equal the number of rows in the second matrix in order to multiply matrices with different dimensions.
First, jot down each matrix's dimensions. Let's imagine, for illustration, that we have a matrix A that is 2 by 3 and a matrix B that is 3 by 4. Create a new matrix C with the dimensions 2x4 in step 2. This is what the multiplication will ultimately produce.3. Determine the dot product of the corresponding row in matrix A and the corresponding column in matrix B for each element in matrix C.
4: The final response is matrix C, which is the union of the 2x3 matrix A and the 3x4 matrix B.
Therefore, the result is a 2x4 matrix, which is produced by taking the dot product of the rows and columns of matrix A and matrix B.
To know more about matrices at :
brainly.com/question/12088021
#SPJ4
Tony is 3 years older than Marie. This can be modeled with the following equation
Answer:
M = T - 3
Step-by-step explanation:
Given
T = M + 3 ( subtract 3 from both sides )
T - 3 = M , that is
M = T - 3
Answer:
\( \small \sf \: M = { \fbox { \green{T} } } - 3\)
Step-by-step explanation:
T = M + 3
Swap the sides of of equations .
M + 3 = T
subtract 3 from both side
M + 3 - 3 = T - 3
M = T - 3
Find an equation of the tangent line to the curve y=sin^2x at the point (π/4,1/2).
The equation of the tangent line to the curve y = sin^2(x) at the point (π/4, 1/2) is x - 2y = π/8 - 1.
To find the equation of the tangent line to the curve y = sin^2(x) at the point (π/4, 1/2), we need to determine the slope of the tangent line at that point and then use the point-slope form of a line to write the equation.
First, let's find the derivative of y = sin^2(x) with respect to x. Applying the chain rule, we have:
dy/dx = 2sin(x) * cos(x).
Now, let's find the slope of the tangent line at x = π/4 by substituting this value into the derivative:
m = dy/dx |(π/4) = 2sin(π/4) * cos(π/4) = 2(1/√2) * (1/√2) = 1/2.
So, the slope of the tangent line at x = π/4 is 1/2.
Using the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is the given point, we can substitute the values:
y - 1/2 = (1/2)(x - π/4).
Simplifying, we have:
y - 1/2 = (1/2)x - π/8.
To obtain the equation in a more standard form, we can multiply everything by 2 to eliminate the fractions:
2y - 1 = x - π/8.
Rearranging the equation, we get:
x - 2y = π/8 - 1.
Thus, the equation of the tangent line to the curve y = sin^2(x) at the point (π/4, 1/2) is x - 2y = π/8 - 1.
Learn more about derivative here:
https://brainly.com/question/29144258
#SPJ11
Last month the cost of using the air pump at a garage was 20p.
This month the cost of using the air pump is 50p.
Tom says,
"50 = 20 = 2. 5 so the cost of using the air pump has increased by 250%"
(a) Is Tom correct?
Explain your answer.
Answer:
Tom is incorrect
The cost of using the air pump has increased by 150%
Step-by-step explanation:
Tom is incorrect
percent change = [ (difference between initial and final value) ÷ initial value] × 100
⇒ [ (50 - 20) ÷ 20) × 100 = 150%
Therefore, the cost of using the air pump has increased by 150%
Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work.
The area is 812ft
Answer:
about 98 dollars to cover the whole room in carpet
Step-by-step explanation:
The Carpet costs $8.30 per square foot, so 812 ÷ 8.30 = 97 with remainder. Therefore 98 as a rounded total ✅
what is the value of k
-3(k+7)- 5k +4 = 23
a.) k=5 b.) k=-1 c.) k=5 d.)k=1
Answer:12.567
Step-by-step explanation:
A sector with an area of 30pi cm^2 has a radius of 10 cmWhat is the central angle measure of the sector in degrees?