Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
Answer:
$80.48
Attached is the image of the entry way
Step-by-step explanation:
Given that each unit length represents 1 foot.
To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.
The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft
Area of a Trapezium = 1/2 × (a+b)h
a = 4ft, b= 7ft, h = 5ft
Substituting the values;
Area of trapezoid = 1/2 × (7 + 4)x 5
Area of trapezoid = 27.5 ft^2
Area of a parallelogram = length × height
Length = 4 ft, height = 4 ft
Substituting the values;
Area of parallelogram = 4 x 4
Area of parallelogram = 16 ft^2
Total area = area of trapezium + parallelogram
Total area = 27.5 + 16 = 43.5 ft^2
Cost per square foot = $ 1.85
Total cost = cost per square foot × area
Total cost = $1.85 per square foot × 43.5ft^2
Total Cost = $80.48
Answer:
Sal will pay $ 80.48 to tile his entryway.
Step-by-step explanation:
Separate the entryway into simpler shapes: a trapezoid and a parallelogram.
Find the area of the simpler figures. Count units to find the dimensions.
Trapezoid
A = 1/ 2
h(b₁ + b₂)
A = 1/ 2
(5)(4 + 7)
A = 1/ 2
(5)(11)
A = 27.5
The area of the trapezoid is 27.5 ft
2 .
Parallelogram
A = bh
A = 4 · 4
A = 16
The area of the parallelogram is 16 ft
2 .
Find the area of the entryway.
A = 27.5 + 16
A = 43.5
The area of the entryway is 43.5 ft
2 .
Calculate how much Sal will pay to tile his entryway.
Area · Cost per foot = Total Cost
43.5 · $1.95 = $84.83
Sal will pay $84.83 to tile his entryway.
A person purchases items marked $2.95, $12.99, $6.97, and $4.19. What is the total cost of these purchases including 6% sales tax
HELP ASAP 10 POINTS AND BRAINLIST!!!!
Use the tape diagram to find the ratio.
Mr. Morris' art class used blue paint and purple paint for a school mural. Find the part-to-whole ratio of purple paint to the total. Write the ratio using a colon and no spaces.
a0
Answer:
I believe the ratio would be 5:6
Step-by-step explanation:
Since 5 blue paint is used for every 6 purple paint, the ratio would be 5:6
Answer:
5:6
Step-by-step explanation:
The cost of a shirt is $56. There is a markup of 18%
for the store. Wha t will be the cost of the shirt in the
store?
Answer:
66.08
Step-by-step explanation:
First find the markup
56 * 18%
56*.18 =10.08
Add this to the original price
56+10.08
66.08
This is the cost in the store
Answer:
$66.08
Step-by-step explanation:
18% of 56= 10.08
56+10.08=66.08
hope this helps :)
Simplify the expression.
( 6x + 1/2) + ( 5x - 3 1/2 )
Answer:
(11x-3)
Step-by-step explanation:
This is because the two parenthesis are adding together, we can simply combine the like terms 6x and 5x to get 11x.
Then, combine 1/2 + a -3 1/2, which is equal to -3.
(Oh, i didn't see the minus sorry! It's fixed now!)
Answer:
11x -3
Step-by-step explanation:
(6x + 1/2) + (5x - 3 1/2) Add like terms
6x + 5x = 11x
1/2 - 3 - 1/2 = -3
11x - 3
What type of graph does not show the mean?
The misleading one or the one that miss out information.
"Mean" Means the middle number of the total number. Like add all the number in the graph and divide by 2
Answer:
A bar graph.
Step-by-step explanation:
Because a bar graph is a chart used to represent data visually using bars of different heights or lengths.
Use conversions to solve the problem. Yesenia buys juice to make punch for all her friends. She buys 1 quart of juice and one eighth gallon of juice. How many cups of juice does she buy?
Answer:
The cups of juice that Yesenia buys are:
6 cups.Step-by-step explanation:
To solve this, you need to know the conversión below:
1 gallon = 16 cups.Now the paragraph mentions that Yesenia buys 1 quart of juice (that refers to a quart of gallon), then, having the conversion above we can operate with a rule of three:
1 gallon = 16 cups1/4 gallon = XSolving this we have:
(1/4 * 16)/1 = 4 cupsIn the first purchase, Yesenia actually buys 4 cups (that is the same to 1 quart of gallon), next she buys one eighth, then we operate again with the first conversion but using this new quantity:
1 gallon = 16 cups1/8 gallon = XSolving this we have:
(1/8 * 16)/1 = 2 cupsBy last, we add every purchase:
Number cups of juice purchased by Yesenia = 4 cups + 2 cups = 6 cups.
The data below show the numbers of hours Mrs. Diaz volunteered at the library each month
for eight months.
20, 12, 27, 23, 18, 20, 30, 26
The mean of the data set is 22 hours. What is the mean absolute deviation of the data?
4.5
2
4
2.2
Answer:
A. 4.5
Step-by-step explanation:
Given:
20, 12, 27, 23, 18, 20, 30, 26
Mean = 22
Required:
Calculate the Mean Absolute Deviation (M.A.D)
Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data
20 - 22 = -2
12 - 22 = -10
27 - 22 = 5
23 - 22 = 1
18 - 22 = -4
20 -22 = -2
30 - 22 = 8
26 - 22 = 4
The we find absolute value of the result above
|-2| = 2
|-10| = 10
|5| = 5
|1| = 1
|-4| = 4
|-2| = 2
|8| = 8
|4| = 4
Lastly, we calculate the mean of the above to give M.A.D
[tex]M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}[/tex]
[tex]M.A.D = \frac{36}{8}[/tex]
[tex]M.A.D = 4.5[/tex]
Option A is correct.
The value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours, option first is correct.
What is the mean absolute deviation?It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.
We have data:
20, 12, 27, 23, 18, 20, 30, 26
Mean of the data X = 22 hours
∑(x - X) = 36
MAD = 36/8 = 4.5 hours
Thus, the value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours.
Learn more about the mean absolute deviation here:
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pls help will mark as brainliest
Answer:
1/3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
It would have to be 3, because it says that 1/3 is wrong.
The triangle shown below has an area of
40
4040 units
2
2
squared.
Find the missing side.
Answer:
x = 10 units
Step-by-step explanation:
The formula for the area of a triangle of base x and height h is A = (1/2)(x)(h).
Here A = (1/2)(x)(8) = 40, so 8x = 80 and x = 10 units
If we look at this triangle we can see the straight line (the height). We want to use the height to figure out the side? Well divide 40 with the height (8). And now you get 5(cause 5*8 is 40. duh)
help please!!!!!!!!!!!!!
Answer:
4: <5= 115°
5: <2= 115°
6: <6= 115°
10: <1= 30°
11: <4= 30°
12: <6= 150°
Step-by-step explanation: Hope this helped
Help help help me me me
Step-by-step explanation:
...
the answer is 49/40
Plz answer i will mark u brainiest
Answer:
1st is in II quadrant
2nd one is in IV quadrant
3rd one is on y axis as x = 0
This recipe will serve 12 pancakes.
Find out how much of each ingredient you would need for 24 pancakes.
Find out how much of each ingredient you would need for 6 pancakes.
Ingredient
12 pancakes
24 pancakes
6 pancakes
4
Eggs
11 tsp
Flour
tsp
Baking Powder
help! Check the picture Please!
Answer:
Individuals, Corporations, Federal grants
Step-by-step explanation:
If we look at the percentages, we can see:
Individuals- 25%
Corporations- 30%
Federal grants- 45%
If we order them from smallest to largest, we need to rearrange them from smallest percentage to largest percentage. We get:
Individuals, Corporations then Federal Grants
Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work
A. 2
B. 18
C. 40
D. 80
Answer:
the answer is 40
Step-by-step explanation:
you have to multiply 8x10=80 divied by 20 which equal 40
Answer:
c
Step-by-step explanation:
What is the interquartile range (IQR) of this data set?
3, 7, 8, 11, 13, 15, 16
25th Percentile: 7
50th Percentile: 11
75th Percentile: 15
Answer:
Interquartile Range: 8
what does this net represent?
Answer: triangular pyramid
Step-by-step explanation: The net shown here is composed of 3 triangular faces and 1 triangular base. The triangular faces tell us that the figure is a pyramid and the triangular base tells us that it's a triangular pyramid. You can always check your answer by tracing the net, cutting it out, and folding it to see what kind of a figure is formed.
NEED HELP WITH THIS ASAP
Answer:
D; y= 2.52x
Step-by-step explanation:
You half $5.04 (the cost of two lbs of cranberries) and get $2.52 then multiply by x (the lbs.) equals y the cost of all the lbs. of cranberries.
Therefore getting the equation of y= 2.52x
Answer: y=2.52x
Step-by-step explanation:
if you take any of the statements you can calculate it.
Let "x" be pounds, and "y" the total cost of x pounds.
2x=5.04
Divide by 2
x=5.04/2
x=2.52
Given: m∠ABC = 50°,
AC = 30
Find: OA
Answer:
OA = 19.58
Step-by-step explanation:
If we draw the segments OA and OC, we will have an isosceles triangle OAC.
With the property of inscribed angles and central angles that are related to the same arc of the circunference, we have:
mAOC = 2 * mABC
mAOC = 2 * 50 = 100°
As the triangle OAC is isosceles, we have that mOAC = mACO.
Knowing that the sum of internal angles of a triangle is 180°, we have:
mACO + mOAC + 100 = 180
2 * mACO = 80
mACO = 40°
Now, using the law of sines, we have:
OA / sin(ACO) = AC / sin(AOC)
OA / 0.6428 = 30 / 0.9848
OA = 30.463 * 0.6428 = 19.58
15 ÷ 3 = Δ
Find the value of Δ.
A)
5
B)
12
C)
18
D)
45
Answer:
A)5 is the answer
Step-by-step explanation:
this is the answer
Answer:
A- 5
Step-by-step explanation:
15/3 = 5
What is the surface area of this rectangular prism?
Answer:
Step-by-step explanation:
l = 5 in
w = 5 in
h = 12 in
Surface area of rectangular prism = 2*(lw +wh + hl)
= 2*(5*5 + 5*12 + 12*5)
= 2*(25 +60 +60)
= 2*145
= 290 in²
Use the table to determine the appropriate model of the function,
x 0 1 2 3 4
f(x) 1 4 11 22 37
linear
quadratic
cubic
exponential
Answer:
Quadratic
Step-by-step explanation:
What number should both sides of the following equation be multiplied by to solve for x?
x/7.25 = 4
4
7.25
7
29
Answer:
[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]
You have a jar of marbles with 7 red, 12 blue, 6 yellow, and 9 white. What is the probability of selecting a marble that is not red, replacing it and then one that
is white?
Answer:
The probability of selecting a marble that is not red, replacing it and then one that is white is 0.2102
Step-by-step explanation:
Number of red marbles = 7
Number of blue marbles = 12
Number of yellow marbles = 6
Number of white marbles = 9
Total marbles = 7+12+6+9=34
Probability of selecting red marble =[tex]\frac{7}{34}[/tex]
Probability of selecting no red marble = [tex]1-\frac{7}{34}=\frac{27}{34}[/tex]
Now replacing it one marble is drawn again
So, Probability of getting white marble [tex]=\frac{9}{34}[/tex]
So,the probability of selecting a marble that is not red, replacing it and then one that is white =[tex]\frac{27}{34} \times \frac{9}{34}=0.2102[/tex]
Hence the probability of selecting a marble that is not red, replacing it and then one that is white is 0.2102
What is the inverse function of f(x) = z/z-2
Answer:
f^-1(z) = 2z/z-1
Answer:
Step-by-step explanation:
The function declaration
f
(
x
)
f
(
x
)
varies according to
x
x
, but the input function
z
2
z
2
only contains the variable
z
z
. Assume
f
(
z
)
=
z
2
f
(
z
)
=
z
2
.
f
(
z
)
=
z
2
f
(
z
)
=
z
2
Merek adds 260 and 347. She writes the sum as 7+10+500. What is Merek's mistake?
Merek got the correct sum, but her decomposition of 347 is incorrect.
What is arithmetic?Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division.
Here,
Merek's mistake is that she incorrectly decomposed the two-digit numbers 47 into 40 and 7 instead of 30 and 17.
To add 260 and 347, we can align the digits vertically:
260
+ 347
-----
607
So, the sum is 607.
Merek decomposed 347 as 300 + 40 + 7, which gives:
260
+ 300
+ 40
+ 7
-----
607
So, Merek got the correct sum, but her decomposition of 347 is incorrect. She should have decomposed 347 as 300 + 40 + 7, or as 300 + 30 + 17, instead of 300 + 40 + 7.
Learn more about arithmetic here:
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the figure below shows a graph of the function of f(x) in the coordinate plane
Part A: Identify the following key features of the graph:
A. Vertex: ___________________
B. Axis of symmetry: ___________________
C. Y −intercept: ___________________
D. X −intercept(s): ___________________
Part B: Provide a real-world example that would be represented by this function and
tell what the key features above represent.
Answer:I think one is x
Step-by-step explanation:
Simplify 5(x – 7) + 6x.
Answer:
11x -35
Step-by-step explanation:
5(x – 7) + 6x.
Distribute
5x - 35 +6x
Combine like terms
11x -35
Answer:
11x-35
is the answer
Find the area to the nearest hundredth
Answer:
9.0586 OR
9.06
Step-by-step explanation:
IDK, used fusion 360
