Answers
Answer:
£ 559.39
Step-by-step explanation:
To know the actual cost of replacing the flooring with new laminate, we must first obtain the total area of the floor. This can be obtained as follow:
1. Determination of the area of class room
Length (L) = 8.8 m
Breadth (B) = 220 cm
Area of class (A₁) =?
Next, we shall convert 220 cm to m. This can be obtained as follow:
100 cm = 1 m
Therefore,
220 cm = 220 cm × 1 m / 100 cm
220 cm = 2.2 m
Finally, we shall determine the area of the class as follow:
Length (L) = 8.8 m
Breadth (B) = 2.2 m
Area of class (A₁) =?
A₁ = L × B
A₁ = 8.8 × 2.2
A₁ = 19.36 m²
Therefore, the area of the class room is 19.36 m²
2. Determination of the area of storage cupboard
Length (L) = 2.3 m
Breadth (B) = 2.1 m
Area of cupboard (A₂) =?
A₂ = L × B
A₂ = 2.3 × 2.1
A₂ = 4.83 m²
Thus, the area of the cupboard is 4.83 m²
3. Determination of the total area of the floor.
Area of class (A₁) = 19.36 m²
Area of cupboard (A₂) = 4.83 m²
Total area (A) =?
A = A₁ + A₂
A = 19.36 + 4.83
A = 24.19 m²
The total area of the floor is 24.19 m²
4. Determination of the cost.
1.6 m² = £ 37
Therefore,
24.19 m² = 24.19 m² × £ 37 / 1.6 m²
24.19 m² = £ 559.39
Therefore, it will cost £ 559.39 to replace the flooring with new laminate.
Related Questions
Hello, I could use some help understanding this question please.
Answers
To determine the total number of employees, we need to determine first how many are men in the company.
To determine the number of men in the company, we can use the given ratio 7 men is to 5 women and apply direct proportion.
\(\frac{7men}{5women}=\frac{?}{135women}\)To solve for the number of men (?), let's apply cross multiplication in the equation above.
\(\begin{gathered} \frac{7men\times135women\text{ }}{5women\text{ }}=? \\ \frac{945}{5}=\text{?} \\ 189men=? \end{gathered}\)Hence, there are 189 men in the company.
In total, there are 189 men + 135 women = 324 employees in the company.
VI. In a class of 40 students, the marks obtained in Mathematics (out of 50) are as under: 44,50,44,49,42,47,45,42,44,48,49,48,47 49,47,41,45,48,41,48,41,42,47,49,49,48, 50.47.49.48.46.44.45.45.46.44.42.47.48.45 ow answer the following questions: a) b) c) d) e) Find the number of students getting more than 45 marks. Find the number of students getting less than 45 marks. Find the maximum number of students getting the same marks. Find the average marks obtained by the students in the class. Find the number of students getting more than average marks.
Answers
a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.
In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.
Counting these numbers, we find that there are 17 students who obtained more than 45 marks.
b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.
In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.
Counting these numbers, we find that there are 15 students who obtained less than 45 marks.
c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.
In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.
Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.
d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.
Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45
= 1912
Total number of students = 40
Average marks = Total marks / Total number of students
= 1912 / 40
= 47.8
Therefore, the average marks obtained by the students in the class is 47.8.
e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.
In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,
49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.
Counting these numbers, we find that there are 40 students who obtained more than the average marks.
27
Question
A hula hoop has a diameter of 44 inches. What is the circumference of the hula hoop? Use 3.14 for pi
Answers
Answer:
138.16 inches
Step-by-step explanation:
C=Circumference. r=radius. d=diameter
C=2πr
C=2π(d/2) ==> a radius is half of a diameter
C=2(d/2)π
C=dπ ==> simplify
C=44π
C=44*3.14
C=138.16 inches
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answers
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
Solve for w |w|=6 I have HW and I need help
Answers
\(w=\sqrt{6},\sqrt{-6}\)
What is modulus ?
A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the output is always favourable. The equation is y = |x|.
Given:
\(w|w|=6\\w(-w)=6\)
or
\(w(w)=6\)
solving both one by one,
\(w(-w)=6\\-w^{2} =6\\w=\sqrt{-6}\)
and,
\(w(w)=6\\w^{2} =6\\w=\sqrt{6}\)
\(w=\sqrt{6},\sqrt{-6}\)
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Create an expression that has the same value as (6x-4) + (x + 5).
Write the correct numbers from the list in the blank boxes. Each number
may be used once, more than once, or not at all.
Answers
Answer: 7x + 1
Step-by-step explanation:
(6x-4)+(x+5)
Step 1: Remove Parentheses:
6x-4+x+5
Step 2: Combine Like Terms:
7x +1
PLSSSSSSSSSSS!!! HELP ASAPPPPPP!!!! I NEED HELP RN!
Answers
Answer:
a. ⅛
b. ⅜
c. -⅜
Step-by-step explanation:
a. There are 8 units from 0 to -1, and also 8 units from 0 to 1.
Given that the numberline is divided I to equal segments, therefore, each segment will be of the following equal length:
¹/8 * 1 = ¹/8
Therefore, a segment = ⅛
b. Point N is 3 units from 0.
Each unit = 1 segment = ⅛
Point N would represent:
3 * ⅛ = ⅜
c. The opposite of point N, ³/8, is the same distance that would be covered to our left from 0.
-³/8 is the opposite of point N, ⅜
help please will give brainliest
Answers
Find AB.
MN=22
DC=29
Answers
Answer:
AB=15
Step-by-step explanation:
Since DM =MA and CN=NB, then DC || MN || AB
29-22=7
22-7=15
AB=15
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answers
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answers
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Answers
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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In a right triangle, the side opposite angle has length 4.84 meters and the hypotenuse has length 7.01 meters. What is the sine of the angle?
Answers
Answer:
0.69
Step-by-step explanation:
Let θ be the angle.
The following data were obtained from the question:
Opposite = 4.84 m
Hypothenus = 7.01 m
Sine θ =?
The sine of the angle θ can be obtained as follow:
Sine θ = Opposite /Hypothenus
Sine θ = 4.84/7.01
Sine θ = 0.69
Therefore, the sine of the angle is 0.69
How do I solve this question
Answers
3y+1+56=180
3y+57-57=180-57
3y/3=123/3
Y=41
Tina is ordering pizza for a party.Peats pizza is offering a special of 4 pizza for $26. Pizza palace is selling 10 pizza for $75. If Tina need to order 40 pizza, should she order 10 orders of the 4-pizza deal or 4 orders of the 10-pizza deal?
Answers
Answer:
Peat's Pizza is is the one Tina should order from.
Step-by-step explanation:
If 4-pizzas from Peat's Pizza is 26 dollars, and she wants to order the 4 pizza special, Multiply 26 and 10 to get $260. Now if she wanted to order 4 times from Pizza Palace, which costs 75 dollars for 10 pizzas, Multiply the cost, 75, and the amount of times you want to order, to get the total cost. (Please tell me if I'm wrong! I'm trying to identify what I can.)
Find the area of the shape
Answers
Hello!
area
= 2*25 + (20 - 2)*(25-8)
= 50cm² + 306cm²
= 356cm²
-2x + 4y = 16a. y = 2x + 4b. y = -2x + 4C. y = 1/2x + 4 D. y = 1/2x - 4
Answers
Given the following equation:
\(-2x+4y=16\)You can follow the steps shown below in order to solve for "y":
Step 1. You must apply the Addition property of equality by adding 2x to both sides of the equation:
\(\begin{gathered} -2x+4y+(2x)=16+(2x) \\ 4y=2x+16 \end{gathered}\)Step 2. Finally, you must apply the Division property of equality by dividing both sides of the equation by "4", as following:
\(\begin{gathered} \frac{4y}{4}=\frac{2x+16}{4} \\ \\ y=\frac{2x}{4}+\frac{16}{4} \end{gathered}\)Step 3. Simplifying the right side of the equation, you get:
\(y=\frac{1}{2}x+4\)The answer is: Option C.
Express the given trigonometric functions in terms of the same function of a positive acute angle.sec 948 degrees, cos(-948) degrees
Answers
Given the Trigonometric Functions:
\(\begin{gathered} sec(948\text{\degree}) \\ \\ cos(-948\text{\degree}) \end{gathered}\)Using your calculator you get:
\(sec(948\text{\degree})\approx-1.49\)By definition, Secant is negative in Quadrant III.
Finds its Reference Angle as follows:
\(948\text{\degree}-5\cdot180\text{\degree}=48\text{\degree}\)Because:
\(\frac{948}{180}\approx5\)Then, you get:
\(=-sec\left(48\text{\degree}\right)\)Notice that:
\(cos(-948\text{\degree})\approx-0.67\)Then, you can conclude that it is in Quadrant II.
Therefore its Reference Angle is:
\(5\cdot180\text{\degree}-948\text{\degree}=-48\)So you can set up:
\(=-cos\lparen-48)\)By definition:
\(cos(-\theta)=cos\theta\)Therefore, you can rewrite it in this form:
\(=-cos(48\text{\degree})\)Hence, the answer is:
\(\begin{gathered} sec(48\text{\degree}) \\ \\ -cos(48\text{\degree}) \end{gathered}\)Question is on the picture
Answers
By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\) states that the word \("2x + 3"\) Corresponds to the number "9".
The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.
For example, in the equations \("x2 + 2x - 3 = 0\) ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.
Abby, according to the picture, spent:
She spends 25% of her time in school.
She spends 40% of her time at work and 15% of her time on other hobbies.
Therefore, Furthermore, she spends \(20\) of her time napping.
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Last year, Joe had $20,000 to invest. He invested some of it in an account that paid 5% simple interest per year, and he invested the rest in an account that
paid 8% simple interest per year. After one year, he received a total of $1450 in interest. How much did he invest in each account?
Answers
Answer:
5% - 5000
8% - 15000
Step-by-step explanation:
trial and error or use pv formula either way works
what are the assymptotes of this equation
Answers
how many different choices of car does a person have if a particular model comes in 11 colors and 4 styles
Answers
Answer:
44 options
Step-by-step explanation:
In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from, meaning that all 4 styles also have 11 colors to choose from and vice versa.
11 * 4 = 44
Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.
U = {a, b, c, d, e, f, g}
A = {a, c, e, g)
B = {a, b, c, d]
Find A U B'
Answers
Answer:
A U B' will be {f} i think so
please help if you can answer any it’s helpful thanks so much
Answers
Answer:quantom physics x=y
Step-by-step explanation:
need to get oxygen
In a standardized IQ test scores are normally distributed, with a mean score of 100 and a standard deviation of 15 what is the highest score that would still plays a person in the bottom 10% of the scores
Answers
The 68-95-99.7 Rule Example
Figure 1 illustrates how to apply the 68-95-99.7 Rule to the distribution of IQ scores. In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.
Mariah's car gets 18 miles per gallon of gas.
a) If Salt Lake City is 189 miles away, how many gallons of gas are needed to get there and then home? (b) If gas is $3.26 per gallon, what is the total cost of the gas for the trip?
Answers
Answer:
a) 10.5 gallons
b) $34.23
Step-by-step explanation:
a) 189 ÷ 18 = 10.5
b) $3.26 * 10.5 =
A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
Answers
AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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Find the measure of BC
Answers
Using central angle theorem,
The measure of the arc BC = 110°.
Define central angle?An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.
Here in the question,
As per the central angle theorem:
(2x -30) ° + x° = 180°
⇒ 2x - 30 + x = 180
⇒ 3x - 30 = 180
Adding 30 on both sides:
⇒ 3x = 180 + 30
⇒ 3x = 210
Dividing both sides by 3.
⇒ x = 70°
Now BC = 2x-30
= 2 × 70 -30
= 140 - 30
= 110°
Therefore, the measure of BC = 110°.
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Calculate the standard deviation of the following data set:
0000000000
0000000000
Answers
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answers
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2