Janice should measure each wall's height and length to determine the square footage needed for painting and divide this by the coverage area of a gallon of paint to estimate the number of gallons she will need, ensuring to round up for any excess needed for touch-ups.
Explanation:Janice's accuracy in estimating the amount of paint needed for her apartment is important to ensure that she neither runs out of paint before completing the job nor wastes money buying too much.
In general, paint cans are sold in one-gallon sizes, and a gallon typically covers around 350 to 400 square feet of wall space.
When calculating the paint needed, Janice should measure each wall's height and length to determine the square footage, considering any deductions for windows and doors.
Once she has the total square footage, she can divide by the coverage area of a gallon of paint to estimate the number of gallons needed. It's usually a good idea to buy a little extra for touch-ups, so round up to the nearest whole number.
As a review, understanding unit conversions is also pertinent.
For example, when converting miles to feet, ounces to pounds, or quarts to gallons, each conversion requires knowledge of the correct factors: 1 mile = 5,280 feet, 1 pound = 16 ounces, and 1 gallon = 4 quarts.
Such conversions are crucial in accurately determining quantities and can help avoid overestimating or underestimating the resources required for a task.
Final answer:
Janice needs to carefully calculate the amount of paint needed for her apartment by considering the square footage and paint coverage, possibly with a margin for extra paint. The painting job timing can be expressed with a linear equation T = 4 + 0.001S, where T is total time and S is square footage.
Explanation:
For Janice to estimate the amount of paint needed accurately, it's important that she does a careful calculation based on the square footage of her apartment walls and the coverage provided by each gallon of paint. The accuracy of this estimation will prevent the wastage of resources and ensure that the work does not halt due to the shortage of paint. However, it's also practical to consider buying an extra can to account for any unforeseen circumstances, as the estimation might have a margin of error.
Regarding the linear equation for the painting job: If it requires four hours of setup time plus one hour per 1,000 square feet, then we can express this as T = 4 + 0.001S, where T is the total time in hours and S is the square footage of the painting area. This linear equation will help to estimate the time needed for any given square footage.
math helpp !! :3 will reward :0
The answer is 125° = x because the exterior angle is 55°, from adding up all the exterior angles to ensure they add up to 360°. Then, you would have to use the Supplementary Angeles Theorem to find the obtuse measure beside that 55° exterior angle: 55 + m<x = 180. This is how you get 125° = m<x. You understand?
Answer:
B
Step-by-step explanation:
Two pairs of consecutive sides are congruent, so it can't be C.
At least one pair of opposite sides are parallel, so it can't be A.
The quadrilateral can't be inscribed in a circle, so it can't be D.
Therefore, the quadrilateral is a rhombus. Answer B.
A square has a perimeter of 258.8 feet. What is the length of each side?
Answer: 64.7
Step-by-step explanation: 258.8 divided by 4
What is another way to express 48+32?
You could express 48+32 by doing 50 + 30 because your adding 2 to the 48 and subtracting 2 from the 32 so that’s not how you could express that.
You could express it by using negatives.
-1(-48-32)
-1(-80)
80
The orginal was:
48+32
=80
I need help please?!!!
Answer:
Step-by-step explanation:
This explains step by step
Hope this helps! <3 -K
Please help, If I fail this class I have to do it again and this is my last chance to bring up my grade...
(Questions are in the photo(s) provided)
Thank you so much in advance!
I hope this helps. Good luck, I was in the same boat not too long ago.
Patrick recorded the daily changes of the value of a stock in dollars : -3.40, -8.09 , -2.47, 1.86, and 3.55. What was the average daily change in the stocks value in dollars?
Plz help!
-$1.71
To find the average of a set of numbers, you add them all together and divide by the amount of numbers.
Start by adding the numbers together to get -8.55.
Since they are 5 numbers, divide -8.55 by 5 to get -1.71.
So, the average daily change of the stock’s value is -$1.71.
S
Which point is a solution to the linear inequality y<-1/2x+2
(2,3)
(2,1)
(3,-2)
(-1,3)
Answer:
(3, -2)Step-by-step explanation:
Put the coordinates of the points to the inequality and check:
y < -1/2x + 2
for (2, 3) → x = 2, y = 3
3 < -1/2(2) + 2
3 < -1 + 2
3 < 1 FALSE
============================
for (2, 1) → x = 2, y = 1
1 < -1/2(2) + 2
1 < -1 + 2
1 < 1 FALSE
============================
for (3, -2) → x = 3, y = -2
-2 < -1/2(3) + 2
-2 < -1.5 + 2
-2 < 0.5 TRUE
============================
for (-1, 3) → x = -1, y = 3
3 < -1/2(-1) + 2
3 < 1/2 + 2
3 < 2 1/2 FALSE
the2,8 slope =4;(2,8) is on the line write the equation
Answer:
The equation of the line is y = 4x
Step-by-step explanation:
* Lets revise how to form an equation of a line from its slope and
a point on the line
- The equation of a line is written as y = mx + b where m is the
slope of the line and b is the y-intercept.
- The line intersect the y-axis at point (0 , b)
* Lets solve the problem
- The line has slope = 4
- The line passes through the point (2 , 8)
∵ The slope = 4
∵ m is the slope of the line in the equation
∴ m = 4
- Substitute the value of m in the equation
∵ y = mx + b
∴ y = 4x + b
- To find the value of b substitute the x-coordinate and the
y-coordinate of the point instead of x and y of the equation
∵ The point (2 , 8) lies on the line
∵ y = 4x + b
- Put x = 2 and y = 8 in the equation to find b
∴ 8 = 4(2) + b ⇒ simplify
∴ 8 = 8 + b ⇒ subtract 8 from both sides
∴ 0 = b
- That means the y-intercept = 0 and the line passing through
the origin point
∴ y = 4x + 0
* The equation of the line is y = 4x
the price of milk found by dividing its cost in cents by its volume in gallon. what are the units in words?
Answer:
gallons and cents
Step-by-step explanation:
These are the things you can basically measure.
Answer:
gallons and cents
Step-by-step explanation:
These are the things you can basically measure.
which of the following rational functions is graphed below
Answer:
D
Step-by-step explanation:
This graph shows two vertical asymptotes, one at x = +3, the other at x = 4. Thus, we omit the first two answer choices. Next, we substitute 0 for x and determine the y value in Answer Choice C: F(0) = 0. Does the graph go through (0, 0)? Yes, it does. Next, evaluate F at x = 3.5 (halfway between x = 3 and x = 4); that is, evaluate function D at x = 3.5. Does the y value come out to be -4 as shown in the graph? Yes, it does. So D is the correct function to match this graph.
Considering the vertical asymptotes of the function, and it's behavior, it is found that the rational function graphed below is given by:
D. [tex]f(x) = \frac{1}{(x - 3)(x - 4)}[/tex]
What are the vertical asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
In this problem:
There are vertical asymptotes at x = 3 and x = 4, hence the denominator of the function is (x - 3)(x - 4).At x = 3.5, we have that f(x) is approximately 4, hence the numerator is 1.Thus, the correct option is:
D. [tex]f(x) = \frac{1}{(x - 3)(x - 4)}[/tex]
More can be learned about vertical asymptotes at https://brainly.com/question/11598999
A rock weighing 15.0 g is
placed in a graduated cylinder,
displacing the volume from
25.0 mL to 36.2 mL. What is
the density of the rock in
grams/cubic centimeter?
Answer: [tex]1.38\frac{g}{cm^3}[/tex]
Step-by-step explanation:
You need to remember the formula for calculate the density:
[tex]density=\frac{mass}{volume}[/tex]
In this case:
[tex]density_{(rock)}=\frac{mass_{(rock)}}{Volume_{(rock)}}[/tex]
You know that:
[tex]mass_{(rock)}=15.5g[/tex]
And when it is placed in a graduated cylinder, the volume is displaced from 25.0 mL to 36.2 mL.
Then, the volume of the rock is:
[tex]Volume_{(rock)}=36.2mL-25.0mL=11.2mL[/tex]
Since [tex]1mL=1cm^3[/tex], you can rewrite the volume as:
[tex]Volume_{(rock)}=11.2cm^3[/tex]
Substituting values into the formula, you get that the density of the rock is:
[tex]density_{(rock)}=\frac{15.5g}{11.2cm^3}=1.38\frac{g}{cm^3}[/tex]
A quality assurance specialist makes $22 an hour for the first 40 hours she works during a week and $29 an hour for each hour worked over 40 hours. Which piecewise equation models her total week pay y in dollars as it relates to the number of hours x that she has worked during the week?
Answer:
hopes this helps
Step-by-step explanation:
this is a tricky one here
40x X 22= $880
second week
40x X 29=1,160
Answer: Our equation becomes,
[tex]y=22x\ ;\ x\leq 40\\\\and\\\\y=29(x+40)\ ;\ x>40[/tex]
Step-by-step explanation:
Let the number of hours she works for be 'x'.
Let the number of dollars she will be paid in week be 'y'.
Cost per hour for first 40 hours = $22
Cost per hour for over 40 hours = $29
We need to model the piece-wise equation for her total pay in week.
So, our equation becomes,
[tex]y=22x\ ;\ x\leq 40\\\\and\\\\y=29(x+40)\ ;\ x>40[/tex]
The resulting R'ST' is an example of what kind of transformation?
rotation
translation
reflecting across y-axis
reflecting across X-axis
Reflection across y-axis
Imagine folding the paper in half with the y-axis being the crease. the triangles would line up perfectly
The resulting transformation is a combination of rotation and translation.
The resulting R'ST' is an example of a Rotation and Translation.
In a rotation, an object is turned or twisted around a fixed point. In this case, R'ST' is rotated around a specific point.
A translation refers to the sliding of an object in a particular direction.
In this case, R'ST' is also shifted or translated in a specific direction.
Therefore, the resulting transformation is a combination of rotation and translation.
Learn more about Rotation and Translation here:
https://brainly.com/question/15577335
#SPJ3
How did Wilson believe conquered empires should be treated?
They should be stripped of their wealth.
They should remain occupied by their conquerors.
Their people deserved to determine their own political futures.
Answer:
Their people deserved to determine their own political futures.
Step-by-step explanation:
Answer:
Wilson believed that in conquered empires their people deserved to determine their own political futures
Step-by-step explanation:
Wilson was convinced that democracy was gaining ground allover the world so he declared that he believed "just government must rest upon the consent of the governed" during his taking over of office. he worked with the secretary of state Bryan to sign 22 bilateral treaties to agreed to cooling periods
conquered Latin American states were granted freedom to conduct there own affairs without American interference during this period
estimate each to the nearest integer. square root of 44
The square root of 44 is 6.633249581
If you were going to round to the nearest whole number, it would be seven.
Hope that helps!
The value square root of 44 is 6.63 thus nearest integer of the square root of 44 will be 7.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we keep it as it is.
As per the given,
The square root of 44 = √44
√44 = 6.633249581
Since 6 > 5 so it will round up to the nearest integer.
6.633249581 → 7
Hence "The value square root of 44 is 6.63 thus nearest integer of the square root of 44 will be 7".
To learn more about rounding a digit,
https://brainly.com/question/116595
#SPJ2
What's the surface area?
Answer:
2460 square units
Step-by-step explanation:
Calculate the surface area of the Rectangular Pyramid, calculate the surface area of the Square Prism [Cube], then you add them up.
∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.)
The value of x is , and the value of y is .
Answer:
x = 11, y = 8
Step-by-step explanation:
ΔABC and ΔFDE are congruent by the postulate SSS
Equate the congruent sides in the 2 triangles
BC = ED, that is
x + 3 = 14 ( subtract 3 from both sides )
x = 11
-------------------------------------
DF = AB, that is
x - y = 3 ← substitute x = 11
11 - y = 3 ( subtract 11 from both sides )
- y = 3 - 11 = - 8 ( multiply both sides by - 1 )
y = 8
Answer:
The value of x is 11 and the value of y is 8.
Step-by-step explanation:
It is given that ∆ABC and ∆FDE are congruent.
The corresponding parts of congruent triangle are congruent.
[tex]AB=FD[/tex] (CPCTC)
[tex]3=x-y[/tex] .... (1)
[tex]BC=DE[/tex] (CPCTC)
[tex]x+3=14[/tex]
Subtract 3 from both the sides.
[tex]x=14-3[/tex]
[tex]x=11[/tex]
The value of x is 11.
Put x=11 in equation (1).
[tex]3=11-y[/tex]
Add y on both the sides.
[tex]3+y=11[/tex]
Subtract 3 from both the sides.
[tex]y=11-3[/tex]
[tex]y=8[/tex]
The value of y is 8.
Determine the mode of the set of data in the stem and Leaf plot below.
The mode in a stem-and-leaf plot is determined by identifying which leaf (end digit of a data point) occurs most often for a particular stem (leading digit(s)). For example, in the data set 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10 the mode is 7 as it appears most frequently.
Explanation:The stem-and-leaf plot is a type of graph that provides a visual representation of data. It is a way of organizing data in which we can easily discover the mode, mean, median, and even the shape of the distribution (such as skewness). The mode in a data set is the value that appears the most often. In the context of a stem-and-leaf plot, identifying the mode involves finding which 'leaf' or end digit of a data point (the last digit in a number) occurs most frequently on a particular 'stem' or leading digit (all but the last digit of a number).
For example, in the stem-and-leaf plot of the data set given : 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10 the mode is 7 as the number '7' shows up the most often, which is 6 times. For identifying the mode, we closely look at the list of leaf values for each stem value and determine which leaf occurs more frequently than any other. Therefore, to answer the student's question about finding the mode from a stem-and-leaf plot, they simply need to identify which leaf value occurs most frequently in the data set presented in the plot.
Learn more about Mode in Stem-and-Leaf Plot here:https://brainly.com/question/31734073
#SPJ12
The mode of the set of data in the stem and Leaf plot is 51
Determine the mode of the set of dataFrom the question, we have the following parameters that can be used in our computation:
The stem and leaf plot
By identifying the stem with the most leaves, we have identified the stem represents the mode of the data set.
Using the above as a guide, we have the following:
The stem is 5 and the leaf is 1
So, the mode is 51
Read more about stem and Leaf plot at
https://brainly.com/question/26616705
#SPJ3
How much quarterly budget should be allocated for a facility that spends an average of $30,000 annually for each of its 611 inmates?
Answer:
4,582,500
Step-by-step explanation:
(30,000*611)/4=4,582,500
Answer:
Quarterly budget of $4582500 must be allocated.
Step-by-step explanation:
A facility spends on its inmates of an average = $30000 annually
Number of inmates = 611
Total amount to be spent = $30000×611
= $18330000
Since there are 4 quarters in a year so quarterly budget allocated
= [tex]\frac{18330000}{4}[/tex]
= $4582500
Therefore, quarterly budget of $4582500 should be allocated.
Solve the system of linear equations by graphing. y = –5/2x – 7 x + 2y = 4 What is the solution to the system of linear equations? A. (–4.5, 4.25) B. (–1.7, –2.8) C. (0, –7) D. (3, 0.5)
ANSWER
(–4.5, 4.25)
EXPLANATION
The first equation is
[tex]y = - \frac{5}{2}x - 7[/tex]
This function is in the slope-intercept form
The second equation is:
x + 2y = 4
2y =-x+ 4
[tex]y = - \frac{1}{2}x + 2[/tex]
The graph of the two functions are shown in the attachment.
The point of intersection represents the solution to the system of equations they represent.
The solution is
(–4.5, 4.25)
Let the function f be defined as f(x) = 5x² - 7(4x + 3).
What is the value of f(3) ?
Given : f(x) = 5x² - 7(4x + 3)
Now,
f(3) = 5 × 3² - 7(4 × 3 + 3)
= 5 × 9 - 7(12 + 3)
= 45 - 7 × 15
= 45 - 105
= - 60
Hence,
f(3) = - 60
To find f(3) for the function f(x) = 5x² - 7(4x + 3), we substitute 3 into the function and simplify to get f(3) = -60.
Explanation:To evaluate f(3) for the function f(x) = 5x² - 7(4x + 3), we need to substitute the value of 3 into the function:
f(3) = 5(3)² - 7(4(3) + 3)
Now we simplify the expression step by step:
Calculate the square of 3: (3)² = 9.Multiply this result by 5: 5 × 9 = 45.Multiply 4 by 3: 4 × 3 = 12.Add 3 to the result from the previous step: 12 + 3 = 15.Multiply this sum by -7: -7 × 15 = -105.Combine the results of the multiplications: 45 - 105.The final result is:
f(3) = 45 - 105 = -60.
asap
pls explain this question about a theater math
A theater can hold 160 giants or 240 elves. If 100 giants are inside, how many elves can also be admitted ?
The answer is 90 elves.
Here's how to find it
100 giants = 100/160 or 5/8
3/8 is left for the elves
3/8 x 240 = 90
a box without a top is made from a rectangular piece of cardboard, with dimensions 6 feet by 8 ft, by cutting out square corners with side length x. which expression can be used to determine the greatest possible volume of the cardboard box?
The answer is:
The second option:
[tex]Volumen_{max}=(8-2x)(6-2x)*x[/tex]
Why?From the statement, we know the dimensions of the box, and the length of the sides to be cut (x).
So,
Working with the length of the box:
Let be 8 the length of the cardboard for the length of the box, so, if we cut out the side of length "x", we have:
[tex]Length=(8-(x+x))=(8-2x)[/tex]
Now,
Working with the width of the box:
Let be 6 the length of the cardboard for the width of the box, so, if we cut out the side of length "x", we have:
[tex]Length=(6-(x+x))=(6-2x)[/tex]
Now that we already know the length and the width of the box, we must remember that the bottom of the box will have the same length "x", so, the greatest possible volume of the cardboard box will be:
[tex]Volumen_{max}=Length*Width*Bottom=(8-2x)(6-2x)*x[/tex]
Have a nice day!
Answer: The second option!
Step-by-step explanation:
Maryna spent 1/5 of her money on a book, If she had $80 left after she bought the book, how much money did she have originally
Answer:$400
Step-by-step explanation:
Because, if she spent ONLY 1/5 of her money, and she has $80 left, wouldn't you basically have to multiply 5 with 80 to get the original amount of money?
Answer:
$100
Step-by-step explanation:
If Maryna had $80 after spending 1/5, we know she has 4/5 left. Then, we divide 80 by 4/5. To divide a fraction, we multiply the number by rhe reciprocal. So, we multiply 80/1 by 5/4. 80 multiplied by 5 is 400, and divided by 4 is 100. This is how we get an original amount of $100.
Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour.
When will Ava and Kelly be 3/4 mile apart?
this is a challenge. please solve.
Answer:
The answer is 22.5
Step-by-step explanation:
The person who answered above me said it was 0.375, but that was in hours. 0.375 hours in min = 22.5.
The person who answered above me is not wrong, it is just that it was in hours.
Welcome! :)
Ava and Kelly will be 3/4 mile apart after 22.5 minutes of running at their respective speeds of 6 mph for Ava and 8 mph for Kelly.
To determine when Ava and Kelly will be 3/4 mile apart in a road race, we must calculate the difference in distance they cover over the same time frame. Ava runs at 6 miles per hour (mph) and Kelly runs at 8 miles per hour (mph). The difference in their speeds is 2 mph (8 mph - 6 mph).
We need to calculate the time it takes for this difference in speed to result in a gap of 3/4 miles. Since speed is distance divided by time, we can use the formula:
Time = Distance / Speed. Substituting the values we have, we get:
Time = (3/4) miles / 2 mph. When we calculate this, we find the time to be 3/8 hours, or 22.5 minutes.
Therefore, Ava and Kelly will be 3/4 mile apart after 22.5 minutes of running at their respective average speeds.
Helen determined she walks about 1,800 steps per 4/5 mile. How many steps did she take if she walked 2 miles?
Divide 1800 by 1/5 and then add the answer to 1800 (4/5) so you get a whole: then double.
39. The equation of a line in standard form is
4x – 2y = 20. Which of the following is the
equation of the same line in slope-intercept
form?
A. y = 2x – 10
B. y = -2x + 10
C. y = 2x – 5
D. y = –2x – 5
Answer:
Let's solve for x.
4x−2y=20
Step 1: Add 2y to both sides.
4x−2y+2y=20+2y
4x=2y+20
Step 2: Divide both sides by 4.
4x/4
= 2y+20/4
x= 1/2y+5
Answer: x= 1/2y+5
Write an expression to match the statement below. Divide the product of 4 and 5 by the sum of 2 and 8.
Answer: (4 x 5)÷(2 + 8)
Step-by-step explanation:
The product is multiplied so the product of 4 and 5 is 20
The sum is adding so the sum of 2 and 8 is 10
Then it wants you to divide them. The 4 * 5 and 2 + 8 are in parenthesis because they are done first.
PLEASE HELP Arlene claims that the kth root of x can be expressed as x 1/k. Which equation below justifies Arlene's claim?
(x1k)k=x
(x1k)k=1
(x1k)k=0
(x1k)k=k
The k-th root's inverse function is raising to the k-th power.
So, if we raise the k-th root of some number x to the k-th power, we have applied a function and its inverse to x, and we must get x itself as output:
[tex]f(f^{-1}(x))=f^{-1}(f(x))=x\quad\text{for every invertible function f}[/tex]
So, in our case, we have
[tex](\sqrt[k]{x})^k = \left(x^{\frac{1}{k}}\right)^k=x^{k\cdot \frac{1}{k}}=x^1=x[/tex]
The equation that Arlene claim should be [tex]x^{k.\frac{1}{k}} \ = x^1 = x[/tex]
Equation:The k-th root's inverse function should be raising with respect to the k-th power.
Thus, in the case if we raise the k-th root of some number x to the k-th power, so here we used the function and its inverse to x, and we must get x itself in an output:
So,
[tex](k \sqrt x)^k = (x\frac{1}{k})^k = x^{k.\frac{1}{k}} \ = x^1 = x[/tex]
learn more about the expression here: https://brainly.com/question/24686935
PLEASE HELP! What's the value of X?
Answer:
25
Step-by-step explanation:
Pythagorean theorem :
a² + b² = c²
Substitute the values:
24² + 7² = x² (c = x)
576 + 49 = x²
625 = x²
x = √625
x = 25