The tile should Orchid choose, to minimize costs, is rectangular tiles. The total cost will be $8 less.
What is the area of square and rectangle?Area of square is the square of its sides length. Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length rectangle and (b) is the width of the rectangle.
Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tiles.
The square tile is One-half foot by One-half foot. Thus, the area of square tile is,
[tex]A=\left(\dfrac{1}{2}\right)^2\\A=\dfrac{1}{4}\rm ft^2[/tex]
Total square tiles required for 40 square feet area,
[tex]n=\dfrac{40}{\dfrac{1}{4}}\times\\n=160[/tex]
Square tile costs $0.45 per tile. Thus, the cost of 160 square tile is,
[tex]C_s=0.45\times160\\C_s=72[/tex]
The rectangular tile is 2 feet by One-fourth foot. Thus the area of thios tile is,
[tex]A_r=2\times\dfrac{1}{4}\\A_r=\dfrac{1}{2}\rm\;ft^2[/tex]
Number of rectangular tiles required for 40 square feet area,
[tex]n=\dfrac{40}{\dfrac{1}{2}}\\n=80[/tex]
The cost of this tile is $0.80 per tile. Thus, the cost of 80 rectangle tiles is,
[tex]C_s=0.8\times80\\C_s=64[/tex]
Hence, the cost of rectangular tile is $8 less than the square tile.
Thus, the tile should Orchid choose to minimize costs, is rectangular tiles. The total cost will be $8 less.
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Are the following equations perpendicular y=-1/3x+4 and y=1/3x+12?
Explanation:
Compare each equation to the form y = mx+b
m = slope
The first equation has slope -1/3 and the second equation has slope 1/3
The slopes do not multiply to -1, so the lines aren't perpendicular.
The slopes aren't equal, so the line aren't parallel either.
The area of a circle is 144pi m2. What is the diameter of the circle?
A. 6m
B. 12m
C. 24m
D. 144m
I spent $4.80 on groceries and $1.20 on vegetables. What is the ratio of:
a. Cost of groceries to cost of vegetables;
b. Cost of vegetables to cost of groceries;
c. Cost of vegetables to total cost;
d. Cost of groceries to total cost?
Help me plz
The required ratio is given as a) 4/1 b) 1/4 c) 1/5 and d) 4/5.
Given that,
Spent $4.80 on groceries and $1.20 on vegetables.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Total cost = 4.80 + 1.20
Total cost = $6.00
a. Cost of groceries to cost of vegetables;
Ratio = 4.80 / 1.20 = 4 / 1
b. Cost of vegetables to cost of groceries;
Ratio = 1.20 / 4.80 = 1 / 4
c. Cost of vegetables to total cost;
Ratio = 1.20 / 6 = 1 / 5
d. Cost of groceries to total cost
Ratio = 4.80 / 6 = 4 / 5
Thus, the required ratio is given as a) 4/1 b) 1/4 c) 1/5 and d) 4/5.
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Adnan pours out 18 servings of lemonade. Each serving contains 120 milliliters of lemonade.
How many liters of lemonade in all did Adnan pour out?
0.216 L
2.16 L
21.6 L
216 L
Sylvia’s cat weighs 12 pounds Michele’s cat weights 9 pounds.
How many more ounces does Sylvia’s cat weigh than Michele’s cat?
Answer:
Sylvia's cat weighs 3 pounds more than Michelle's cat
Sylvia’s cat weighs 48 ounces more than Michele’s cat.
What is weight?The downward force exerted by any object due to the effect of the earth's gravity is called weight.
Given that:-
Sylvia’s cat weighs 12 pounds Michele’s cat weighs 9 pounds.The difference between the weight = 12 - 9 = 3 pound
1 pound = 16 ounces
3 pounds = 16 x 3 ounces = 48 ounces
Therefore Sylvia’s cat weighs 48 ounces more than Michele’s cat.
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When Amira goes bowling, her scores are normally distributed with a mean of 160
and a standard deviation of 13. What percentage of the games that Amira bowls does
she score less than 192, to the nearest tenth?
Using the normal distribution, it is found that she scores less than 192 in 99.3% of games.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 160, \sigma = 13[/tex].
The proportion of games in which she scores less than 192 is the p-value of Z when X = 192, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{192 - 160}{13}[/tex]
[tex]Z = 2.46[/tex]
[tex]Z = 2.46[/tex] has a p-value of 0.993.
Hence, she scores less than 192 in 99.3% of games.
More can be learned about the normal distribution at https://brainly.com/question/24663213
i finished all of these but i wanted to make sure these were correct! i will be posting others and thank you for answering :)
Answer:
Step-by-step explanation:
Where are your answers?
If f(-4) for f(x)=-2x+7 is 15, then what is f^-1 (15)?
let's recall that for a function f(x) that has an inverse function f⁻¹(x), the domain of f(x) corresponds to the range of f⁻¹(x), what the heck does that all mean?
well, it means that for any coordinate pairs (a , b) in f(x), there's a corresponding pair of (b , a) on f⁻¹(x).
we know in this case that f(-4) = 15, or namely that f(x) has a pair of (-4 , 15), well, that means that f⁻¹(x) has a swapped pair of (15 , -4).
the above means that f⁻¹(15) = -4.
Bob bought some new boots that cost $67.34. He paid 7.5% tax. How much did he pay at the cash register?
A. $3.20
B. $24.78
C. $72.39
D. $33.40
Answer:
72.39
Step-by-step explanation:
Cost of boots: 67.34
Tax: 7.5%
Amount of tax he payed: 67.34 * 7.5/100 = 5.05
Total Amount = 67.34 + 5.05 = 72.39
Which number line shows the solutions to n > 3?
Answer:
The second one.
Step-by-step explanation:
The hollow dots represent > or < depending the direction of the arrow. The filled dots represent less than or equal to. So the second.
Answer: Your answer would be B
Step-by-step explanation: The open circle means it's not greater than or equal to! So therefore, answer is B! Let me know if I'm wrong. If not have a great day!
whoever answers first gets brainliest!!!!
Answer:
38%
Step-by-step explanation:
Answer:
C. 38%
Step-by-step explanation:
3 ÷ 8 = 0.375
Make it a percent
0.375 x 10 = 37.5
Since it isn't an option, round up. A good rounding rule is: Four or less, let is rest. Five or more, let it soar.
Since this number ends in 5, round up.
37.5 is now 38
38%
Please help me with this math problem!! Will give brainliest!! Please include a drawing in your answer. No links please!!
Answer:
Step-by-step explanation:
AC = 150 Feet
CB = 75 feet.
BD = 100 feet
You use the tangent here.
Tan(A) = opposite/ Adjacent
Opposite = BD = 100 feet
Adjacent = AB = AC + CB = 150 + 75 = 225 feet.
Tan(A) = 100 / 225
Tan(A) = 0.4444
A = Tan-1(0.4444)
A = 23.96 degrees, but the front row of trees cannot be more than 100 feet tall
67+90(56768*4387)-78÷3456
help
talk to me please
HELP QUICK PLSSSSSSSSS
Answer:
I believe the answer is 198
Answer:
791.68135 cubic metres
Step-by-step explanation:
V=πr2h=π·62·7≈791.68135
5 times what equals 53
Answer:
The answer is 10.6
Step-by-step explanation:
Divide 53 by 5 :)
Answer:
10.6
Step-by-step explanation:
53/5=10.6
or 10.6 multiplied by 5 equals 53
F
∝
a
If
F
=
48
when
a
=
3
find,
F
when
a
=
4
Answer:
F(4) = 36
Step-by-step explanation:
F = C/a, where C is a constant
Since 48 = C/3
C = 144
F(a) = 144/a
-----
F(3) = 144/3
F(3) = 48
----
F(4) = 144/4
F(4) = 36
what is 1/6 as a decimal (This question is worth 15 points)
Answer:
0.17
Step-by-step explanation:
divide one by six and you will get 0.16666 and so on, depending on the question but it will be best if you put it in two decimal place, which us 0.17
Help A costume designer needs to make 12 costumes for the school play.Each costume requires 2 2/3 yards of fabric.How many yards of fabric does the costume designer need to make all costume
Answer:
32
Step-by-step explanation:
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Hope this helps! :)
Have a blessed day and remember to keep smiling! :)
[tex][Hello,BrainlyUser][/tex]
Answer:
32 Yards
Step-by-step explanation:
Given;
Length of fabric required for each costume = 2 2/3
Total number of costumes to be made =12
Solve;
12 * 2 2/3
We can multiply mixed numbers by converting it to fractions.
⇒ 12 * 8/3
⇒ 32
Thus, you need 32 yards of fabric.
[CloudBreeze]
A sundae requires 333 ice-cream scoops and 444 strawberries, and a milkshake requires 222 ice-cream scoops and 666 strawberries. Ramses wants to make sundaes and milkshakes with at most 252525 ice-cream scoops and 373737 strawberries. Let SSS denote the number of sundaes he makes and MMM the number of milkshakes he makes.
Answer:
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Step-by-step explanation:
Sunday ice cream :
Ice cream scoops = 3
Strawberries = 4
Milkshake :
Ice cream scoops = 2
Strawberries = 6
Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.
Let x be the no. sundaes and y be the no. of milkshakes
So, Equations are :
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Now we are supposed to graph the solution
[tex]3x+2y\leq 25[/tex] --- Blue
[tex]4x+6y \leq 37[/tex] --- Green
Refer the attached figure
I need to know the answer to this and how to solve it .
Answer:
=> B.125
Step-by-step explanation:
=> 180°- 55°{ linear pair }
=> 125°
The measure of angle COE = 125
y=-3x^2-24x-42 in vertex form
Answer:
Step-by-step explanation:
y = - 3x² - 24x - 42
y = - 3( x² + 8x + 14 )
y = - 3( x² + 2·4·x + 16 - 16 + 14 )
y = - 3[ ( x + 4 )² - 2 ]
y = - 3( x + 4 )² + 6
help please ive been stuck on this for days ( the shapes need an answer )
Answer:
circle = 1/3
pls mark brainliest
please help asap it will help very much
Answer:
180 cm²
Step-by-step explanation:
From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.
Area of a square = x² (where x is the length of one side)
⇒ area of the square = 6² = 36 cm²
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²
Total surface area = 4 x area of one triangle + area of the square
= 4 x 36 + 36
= 144 + 36
= 180 cm²
Answer:
180 I was the first so could I have brainlyest
Step-by-step explanation:
we need the area of 4 triangles and one square triangle = base x height x 1/2 square = base x height 6 x 6 = 36 + ( 6 x 12 / 2 x 4 = 144) = 180
True or False. A function is increasing if its outputs get larger as the inputs
get larger.*
Answer:
True
Step-by-step explanation:
A function is increasing if its outputs get larger as the inputs is a "true statement" or the first option. If the inputs are getting larger for every input and the outputs are getting larger for every output, if you plot the data on a scatter plot or a coordinate plane of sorts you would see it take shape of a line that is moving from the left to the top right which means the function is indeed increasing when the outputs/inputs get larger.
Hope this helps.
Let R be the region in the first quadrant bounded by x2 − y2 = 16, the horizontal line y = 0, and the vertical line x = 5. What is the volume of the solid formed by revolving R about the x-axis?
Check the picture below.
so the region is the one bounded by a hyperbola and two straight lines, one of which is the x-axis, or namely y = 0, since the hyperbola has a vertex at x = 4, then our bounds are from 4 to 5.
[tex]x^2-y^2=16\implies x^2-16=y^2\implies \pm\sqrt{x^2-16}=y \\\\\\ \stackrel{I~Quadrant}{+\sqrt{x^2-16}=y}\qquad \qquad \implies \stackrel{\textit{using the disk method}~\hfill }{\displaystyle\int_{4}^{5}~\pi \left( \sqrt{x^2-16} \right)^2\cdot dx\implies \pi \int_{4}^{5}(x^2-16)dx} \\\\\\ \pi \left( \left. \cfrac{x^3}{3} \right]_{4}^{5} ~~ - ~~\left. 16x\cfrac{}{} \right]_{4}^{5}\right)\implies \pi \left[\cfrac{61}{3}~~ - ~~16 \right]\implies \cfrac{13\pi }{3}[/tex]
I need this answer asap... quickest answer
gets marked brainiest and hella points
PLEASE HURRY!!!
Answer: $2,728.40
Step-by-step explanation:
The starting value is: $17,000
the rate of deprecation is: 12.25%
time = 14 years
Lets plug this into the interest formula:
Cost after 14 years = Principle(1 - r)^t
Cost after 14 years = 17,000(1 - 0.1225)^14
Cost after 14 years ≅$2,728.40
Deprecation happens pretty quickly!
Solve the system of linear equations in two variables by elimination or substitution.
4x+ 3y=2
2x-3y=1
Answer:
( [tex]\frac{1}{2}[/tex], 0 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 2 → (1)
2x - 3y = 1 → (2)
Adding (1) and (2) term by term will eliminate the y- term, that is
6x = 3 ( divide both sides by 6 )
x = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and evaluate for y
Substituting into (1)
4([tex]\frac{1}{2}[/tex] ) + 3y = 2
2 + 3y = 2 ( subtract 2 from both sides )
3y = 0 ⇒ y = 0
Solution is ( [tex]\frac{1}{2}[/tex], 0 )
if a certain cannon is fired from a height of 8.5 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, In seconds, is found by the function h(t)=-4.9t^2+27.5t+8.5 Find the time it takes for the cannonball to strike the ground.
Answer: 2.88 seconds
Step-by-step explanation:
we need to find t in the formula, when h(t) = 0, (meaning it hits the ground).
0 = -4.9t² + 27.5t + 8.5
Using the quadratic formula:
x = (-b ± √b² - 4ac)/2a
x = (-27.5 ± √27.5² - 4(-4.9)(8.5))/2(27.5)
x = (-27.5 ± 30.38)/55
x = 2.88 OR x = -57.88
Since time cannot be negative, we will stick with the positive answer, 2.88 seconds.
Hope this helped :)
how do you find the center of a data set (statistic)
Step-by-step explanation:
The center of a data set is also called the middle. So, just arrange them in numerical order least to greatest and the middle number is your answer.
Farmer MacDonald has 72 cows and pigs on his farm. The ratio of cows to pigs is 5 to 3. How many cows and how many pigs does he have?
Answer: 45 and 27
Step-by-step explanation:
A lil trick Is that u add 5+3=8 then 72/8 = 9
So then 5x9 and 3x9 because each ratio "unit" Is equal to 9 so ya
gl