Peter wants to put 2 coats of paint on both the inside and outside of the walls. There are 5 walls, each side having 45 ft2 of paintable surface. A gallon of paint covers x ft2. Explain how to write an expression to represent the number of gallons of paint Peter needs.
To calculate the number of gallons Peter needs, multiply the surface area of one side of the wall (225 ft2) by 2 for both sides, and then by 2 again for two coats, totaling 900 ft2. Then divide 900 ft2 by the coverage per gallon x to get the expression 900 / x.
To determine the number of gallons of paint Peter needs, we must first calculate the total paintable surface for both the inside and outside of the walls and then factor in the two coats of paint. Peter has 5 walls, with each side having 45 ft2 of paintable surface, so the total paintable surface for one side is 5 walls imes 45 ft2/wall = 225 ft2. Since he wants to paint both sides, we double this to get 450 ft2. For two coats, we need to double this again, resulting in 900 ft2. Now, if a gallon of paint covers x ft2, the number of gallons needed is total square footage divided by coverage per gallon, which is 900 ft2 / x ft2/gallon.
Therefore, the expression to represent the number of gallons Peter needs is 900 / x.
A coin is tossed 6 times. what is the probability of getting at least one head? express your answer as a fraction or a decimal number rounded to four decimal places.
Final answer:
The probability of getting at least one head in six coin tosses is 1 minus the probability of getting tails on all tosses, resulting in a probability of 98.44% when rounded to four decimal places.
Explanation:
The question is about calculating the probability of getting at least one head when a coin is tossed six times. Rather than calculating the probability of at least one head directly, it's simpler to calculate the probability of the opposite event—getting no heads—which is the same as getting tails on all six tosses. Since the probability of flipping a tail on each toss is 0.5, the probability of flipping six tails in a row is (0.5)⁶, which equals 0.015625. Therefore, the probability of getting at least one head is 1 minus the probability of getting no heads, which is 1 - 0.015625, resulting in 0.984375 or 98.44% when rounded to four decimal places.
Please help :)))) ( attachment )
How many different combinations of a 4-member debating team can be formed from a group of 10 qualified students?
Which property justifies that 4.37.25=4.25.37?
A=12h(a+b)
Solve for h.
A. h=2Aa+b
B.h=a+b2A
C.h=A2(a+b)
D.h=2(a+b)A
Answer:
h = 2A/a+b
or 1st answer
Step-by-step explanation:
How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year, compounded quarterly?
Compound interest formula
[tex]A=P(1+ \frac{r}{n} )^{nt} [/tex]
Where
A= Future value
P =
the Principal (the initial amount of money)
r = annual interest rate
t = time
n= number of times compounded in one tA= 30 000
P =20 000
r = 15%=0.15
time = t = ?
n= 4Maria says that 6.25 os 1/100 the value od 625.Wriye an explanation to support Maria's statement.You can use equations or models in your explanation.
A segment has endpoints F and H . What are two names for the segment?
what are rational numbers
A movie theater sold a total of 390 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost $7 and each child ticket cost $3. How much revenue did the theater generate in ticket sales that day?
The Revenue generated by theater is $2,250.
What is simplification?Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.
It is possible to simplify mathematical formulas by merging and grouping related terms. This makes it easy to understand and decipher the puzzle.
Given total ticket sold = 390
adult ticket + child ticket = 390
and 2.25 times as many adult tickets as child tickets
so adult ticket = 2.25 child tickets
Let child ticket be x
adult ticket = 2.25x
equation will be
2.25x + x = 390
3.25x = 390
x = 120
adult ticket = 390 - 120 = 270
cost of 1 adult ticket = $7
cost of 270 adult ticket = 7 x 270 = $1890
cost of 1 child ticket = $3
cost of 120 child ticket = 3 x 120 = $360
Total revenue = $1890 + $360
Total revenue = $2,250
Hence the total collection of theater is $2,250.
Learn more about simplification;
https://brainly.com/question/28996879
#SPJ5
If p(x) = 2x2 – 4x and q(x) = x – 3, what is (poq)(x)
Which correctly applies the distributive property to show an equivalent expression to (–2.1)(3.4)?
Answer:
(–2.1)(3) + (–2.1)(0.4)
Step-by-step explanation
It's D
Which of the following is irrational?
A. 7.51... x -4
B. root 16 + 3/4
C. root 3 + 8.486
D. 8 2/3 x 17.75
Option (C) √3 + 8.486 is an irrational number.
What is an irrational number?An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. Those real numbers that are not rational numbers are known as irrational numbers.
For the given situation,
We need to check the options, that is irrational.
Option A: 7.51... x -4
⇒ [tex](7.51 ) (-4)[/tex]
We can express this as fraction. So it is not an irrational number.
Option B: root 16 + 3/4
⇒ [tex]\sqrt{16} +\frac{3}{4}[/tex]
⇒ [tex]4+\frac{3}{4}[/tex]
We can express this as fraction. So it is not an irrational number.
Option C: root 3 + 8.486
⇒ [tex]\sqrt{3} +8.486[/tex]
⇒ [tex]\sqrt{3}[/tex] is an irrational number, so the sum is also an irrational number.
Option D: 8 2/3 × 17.75
⇒ [tex](8\frac{2}{3})(17.75)[/tex]
We can express this as fraction. So it is not an irrational number.
Hence we can conclude that option (C) √3 + 8.486 an irrational number.
Learn more about irrational number here
https://brainly.com/question/3386568
#SPJ2
The area of this parallelogram is 24 square units the base is 8 units what is the height of the figure
Et f(x) = 9x − 2 and g(x) = −x + 3. find f(g(x)). −9x − 2 −9x + 5 −9x + 25 −9x + 27
Answer:
its a on edg
Step-by-step explanation:
im 100%
Sophia used the digits 6, 3, and 8 to write a number less than 6 and greater than 5. Her number has three digits, and the digit in the tenths place is odd. She used each digit only once in the number. What is Sophia's number?
One day a store sold 17 sweatshirts. white ones cost $10.95 and yellow ones cost $ 11.50. in all, $192.75 worth of sweatshirts were sold. how many of each color were sold?
What is the solution of 7<5-2x<17
Determine if the statement is always, sometimes, or never true:
An equilateral triangle is a right triangle.
always
sometimes
never
Answer:
never
Step-by-step explanation:
To Find :An equilateral triangle is a right triangle.
1. always
2.sometimes
3.never
Solution :
Definition of equilateral triangles: a triangle having all sides equal in length
Since all sides are equal so by property of triangle (angle opposite to equal sides are equal ) so, all angles are equal .
If equilateral triangle is right angle then one of its angle is of 90°
And in equilatera triangle all angles are equal so all angles must be of 90°
We know that triangle sum property is : Sum of all angles of triangle is equal to 180°
So, 90°+90°+ 90° =180°
⇒270°≠180°
since this violates the angle sum property of triangle .
Thus an equilateral triangle can never be a right triangle
Answer:
NEVER
Step-by-step explanation:
Planes X and Y are perpendicular. Points A, E, F, and G are points only in plane X. Points R and S are points in both planes X and Y. Lines EA and FG are parallel.
Based on this information, which lines could be perpendicular to RS? Check all that apply.
EA,ER,EF,FG,FS
Answer:
Step-by-step explanation:
KL = 4x+7 and LM= 5x-4
5q + 3 = 3h solve for q (literal equations)
If AB is parallel to CD and the slope of CD is -8, what is the slope of AB
What is the equation of the line that passes through (5, -2) and (-3, 4)?
Answer: [tex]4y=-3x-7[/tex]
Step-by-step explanation:
The equation of a line passing through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
The equation of a line passing through (5, -2) and (-3, 4) is given by :-
[tex](y-(-2))=\dfrac{4-(-2)}{-3-5}(x-5)\\\\\Rightarrow\ y+2=\dfrac{6}{-8}(x-5)\\\\\Rightarrow\ y+2=\dfrac{-3}{4}(x-5)\\\\\Rightarrow\ 4(y+2)=-3(x-5)\\\\\Rightarrow\ 4y+8=-3x+15\\\\\Rightarrow\ 4y=-3x-7[/tex]
To make the bowling team. Jacques needs a three-game average of 160. If he bowled 141 and 162 for the first two games, what score S must be obtained in the third game so that his average is at least 160?
Simply x squared over Y plus Y squared over X all over Y squared minus XY plus X squared
A class has 11 boys and 9 girls in it. what percent of the class are boys
Answer: the answer is C 55%
Hope this helps you
Can anybody help me with this? It's geometry
The measure of a supplement of angle is 12 more than three times the measure of a complement. find the measure of the angle.