The price per square foot is 0.55$
Step-by-step explanation:
We can solve this problem by applying the rule of three.
In fact, we know that:
- The price per 1 gallon is $55
- The area covered by 1 gallon is [tex]100 ft^2[/tex]
So this means that the price per [tex]100 ft^2[/tex] (1 gallon) is $55.
Here we want to find the price per square foot, so we can write:
[tex]\frac{x}{1}=\frac{55}{100}[/tex]
And solving for x, the price per square foot, we find:
[tex]x=\frac{55}{100}=0.55[/tex]
So, the price per square foot is 0.55$.
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Final answer:
The price per square foot for paint that costs $55 per gallon and covers 100 square feet is $0.55.
Explanation:
To calculate the price per square foot for paint that costs $55 per gallon and covers 100 square feet, we need to divide the total cost by the total coverage area. Here is the step-by-step calculation:
Determine the total cost of one gallon of paint: $55
Determine the total coverage of one gallon of paint: 100 square feet
Calculate the price per square foot: $55 ÷ 100 sqft = $0.55 per sqft
Therefore, the price per sqft of paint is $0.55.
8-inch boxes are stacked next to 6-inch boxes. What is the lowest height at which the two stacks will be the same height?
Answer:
The lowest height at which the two stacks will be the same height is 24 inches.
Step-by-step explanation:
For answering this problem, we have to find out the lowest common multiple of 6 and 8, listing its prime factors, this way:
6 = 3 * 2
8 = 2 * 2 * 2
Now, we multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Therefore, we have:
2 : 3 times as prime factor of 8
3: 1 time as prime factor of 6
The lowest common multiple is:
2 * 2 * 2 * 3 = 24
The lowest height at which the two stacks will be the same height is 24 inches.
The lowest height at which these stacks will be the same is 24 inches.
To find the lowest height at which an 8-inch box stack and a 6-inch box stack will be the same, we need to determine the least common multiple (LCM) of their heights. The method involves finding the smallest common multiple between the two heights.
List the multiples of each height:Multiples of 8: 8, 16, 24, 32, 40, 48...Multiples of 6: 6, 12, 18, 24, 30, 36...2.Identify the smallest common multiple:
Both lists have 24 as the first common multiple.Therefore, the lowest height at which the two stacks of boxes will be the same is 24 inches.
What is 125% of 88?
Answer:
110 is 125% of 88
Step-by-step explanation:
125% is the same as 125/100
Set this 125/100 equal to x/88
125/100 = x/88
Cross-Multiply (Numerator * Denominator = Numerator * Denominator)
125(88) = 100(x)
11,000 = 100x
Divide both sides of the equation by 100
110 = x
110 is 125% of 88
Hope this helps :)
Answer: x = 110
Step-by-step explanation: Well percent means over 100 so we can set up an equation for this problem by reading it from left to right.
What means x, is means equals, 125% is 125/100, of means times, 250.
So we have the equation [tex]x = \frac{125}{100} (88)[/tex].
Simplifying on the right side of the equation, notice that 125/100 reduces to 5/4 so we have x = 5/4 · 88.
Think of the 88 as 88/1.
So we can cross cancel the 88 and 4 to 22 and 1.
So we have x = 5 · 22 over 1 · 1 or x = 110.
A triangle has sides of 12 cm, 8cm and x cm. what are the possible values of x? express your answer as an inequality
Answer:
the possible values of x as an inequality → 4 < x < 20
Step-by-step explanation:
The triangular inequality tells us that :
12-8 < x < 12+8 ⇔ 4 < x < 20
If 5n = 0,then what does 6n equal
Answer:
0
Step-by-step explanation:
I would say this because n is most likely equal to 0 so 6 times 0 is 0
If 5n = 0, then 6n = 0.
Explanation:If 5n = 0, then substituting 0 for 5n gives 6n = 6(0) = 0. Therefore, 6n is equal to 0.
Kiyo and Steven are tiling the floors in an
office building. Kiyo tiled of the floor in
one office, and Steven tiled of the floor
in another office.
Write to explain how to use a benchmark
fraction to determine who tiled a greater
portion of a floor.
The complete question is given below.
Question:
Kiyo and Steven are tiling the floors in an office building. Kiyo tiled [tex]\frac{3}{6}[/tex] of the floor in one office, and Steven tiled [tex]\frac{5}{12}[/tex] of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor.
Answer:
Kiyo tiled a greater portion of a floor
Solution:
Kiyo tiled in one office = [tex]\frac{3}{6}[/tex]
Steven tiled in another office = [tex]\frac{5}{12}[/tex]
Bench mark fraction means comparing fractions with common fraction or number. Most probably we use [tex]\frac{1}{2}[/tex] as the common fraction.
Compare [tex]\frac{3}{6}[/tex] and [tex]\frac{5}{12}[/tex] using [tex]\frac{1}{2}[/tex]:
[tex]\frac{3}{6}[/tex] is equal to the fraction [tex]\frac{1}{2}[/tex].
[tex]$\frac{3}{6}=\frac{1}{2}[/tex]
[tex]$\frac{5}{12}<\frac{1}{2}[/tex]
[tex]$\Rightarrow\frac{5}{12}<\frac{3}{6}[/tex]
Steven tiled the floor < Kiyo tiled the floor.
Hence Kiyo tiled a greater portion of a floor.
Kiyo tiled a greater portion of the floor.
To determine who tiled a greater portion of the floor, we can use a benchmark fraction. A common benchmark fraction is 1/2. Let's compare each person's portion to this benchmark:
Kiyo tiled 3/6 of the floor. Simplifying this fraction, we get 1/2.
Steven tiled 5/12 of the floor. To compare this to 1/2, we check if 5/12 is more than or less than 6/12 (which is 1/2).
Since 5/12 is less than 6/12, Steven tiled less than half, and Kiyo tiled exactly half.
Therefore, Kiyo tiled a greater portion of the floor.
Complete question: Kiyo and Steven are tiling the floors in an office building. Kiyo tiled 3/6 of the floor in one office, and Steven tiled 5/12 of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor. You can compare hese fractions because the floors in each office are the same size. ∩ C
Which graph represents f(x)=6cos(4πx) ?
Answer:
The graph representing f(x)=6cos(4πx) is shown in the attached file.
Step-by-step explanation:
The graph representing f(x)=6cos(4πx) is shown in the attached file.
Answer:
Correct answer below
Step-by-step explanation:
K12 quiz :)
Suppose that 22 inches of wire costs 88 cents.
At the same rate, how much (in cents) will 41 inches of wire cost?
cents
Solve the system of equations using elimination.
4x - 7y = 5
9x – 7y = –15
Answer: (-4,-3)
Step-by-step explanation:
In USA test prep
What is the value of x to the nearest tenth?
Answer:
x=6*sqrt(5)
Step-by-step explanation:
We use Pythagoras' theorem:
x^2 =6^2+(24/2)^2
x^2 =6^2+12^2
x^2 =36+144
x^2=180
x=sqrt(180)
x=sqrt(9*4*5)
x=3*2*sqrt(5)
x=6*sqrt(5)
Joey calculated that the circumference of the steering wheel in his car is 43.96 inches what is the steering wheel’s diameter
Answer:
Therefore,
The steering wheel’s diameter is 14 inches.
Step-by-step explanation:
Given:
Circumference of Steering Wheel ,
C = 43.96 inches
pi = 3.14
To Find:
Diameter = d = ?
Solution:
The Formula for Circumference is given as,
[tex]Circumference = \pi\times Diameter[/tex]
Substituting the values we get
[tex]C=\pi\times d\\43.96=3.14\times d\\d=\dfrac{43.96}{3.14}=14\ inches[/tex]
Therefore,
The steering wheel’s diameter is 14 inches.
When you have the circumference of a circle and need to find the diameter, you can use the formula Diameter = Circumference / π. Using this formula, Joey's steering wheel, with a circumference of 43.96 inches, would have a diameter of approximately 14 inches.
Explanation:To find the diameter of a circle when you know the circumference, use the formula Circumference = π * Diameter. Circumference is the given 43.96 inches.
So, you can rearrange the formula to find the diameter: Diameter = Circumference / π.
Substituting the given values, we have Diameter = 43.96 inches / 3.14. This gives approximately 14 inches as the diameter of the steering wheel in Joey's car.
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How old is the 7th person that walked in?
Answer:
Step-by-step explanation: 70
35 + 45 = 70
Just add the Average of 6 people to 35
The ordered pair (a,b) satisfies the inequality y>x+10. Which statement is true?
The ordered pair (a, b) satisfies the inequality y > x + 10 if the point lies above the line y = x + 10.
Explanation:To determine which statement is true for the inequality y > x + 10, we need to understand the graph of this inequality. The graph of y > x + 10 represents all the points above the line y = x + 10. Since the inequality does not have an equals sign, the line itself is not included in the solution.
In this case, the line y = x + 10 has a slope of 1 and a y-intercept of 10. By comparing the equation of the line to the inequality, we can see that the line separates the coordinate plane into two regions: the region above the line and the region below the line.
The ordered pair (a, b) will satisfy the inequality y > x + 10 if the point lies above the line y = x + 10. Therefore, the correct statement is that The ordered pair (a, b) lies above the line y = x + 10.
The true statement based on the inequality b > a + 3 is:
C. b is greater than a .
Given that the ordered pair a, b satisfies the inequality y > x + 3, we can substitute a for x and b for y. This means that:
[ b > a + 3 ]
We need to determine which statement is true based on this inequality. Let's evaluate each option:
A. If you add 3 to b , it will equal a
This implies:
[ b + 3 = a ]
From b > a + 3 , it is clear that b is greater than a + 3 , so adding 3 to b will not equal a . Thus, this statement is false.
B. a is greater than b
This implies:
[ a > b ]
From b > a + 3 , it is clear that b is greater than a plus an additional 3, so a is not greater than b . Thus, this statement is false.
C. b is greater than a
This implies:
[ b > a ]
From b > a + 3 , it is clear that b is indeed greater than a by more than 3. Thus, this statement is true.
D. If you subtract 3 from b , it will equal a
This implies:
[ b - 3 = a ]
From b > a + 3 , subtracting 3 from b will still be greater than a , so this equation will not hold. Thus, this statement is false.
Conclusion:
The true statement based on the inequality b > a + 3 is:
C. b is greater than a .
Complete question
The ordered pair (a,b) satisfies the inequality y>x+3. Which statement is true?
A.if you add 3 to b , it will equal a
B. a is greater than b
C. b is greater than a
D. If you subtract 3 from b, it will equal a
Geno withdrew $50 from his savings account. If he now has no more than $425 in his savings account, how much money did Geno have originally?
solve the inequality
The money with Geno originally is not more than $ 475
Solution:
Given that,
Geno withdrew $50 from his savings account
If he now has no more than $425 in his savings account
To find: Money had by geno originally
Let "x" be the money with Geno originally
From given,
He withdrew $ 50 from "x"
Then we can say,
[tex]x - 50\leq 425[/tex]
Here, we used "less than or equal " because he now has no more than $425 in his savings account
Solve the inequality
Add 50 to both sides
[tex]x - 50 + 50 \leq 425 + 50\\\\x\leq 425 + 50\\\\x\leq 475[/tex]
Thus the money with Geno originally is not more than $ 475
On a science quiz Ivan earned 18 points.There are six problems worth 2 points each and two problems worth 4 points each.
Step-by-step explanation:
He missed one 2-point question and got everything else correct.
5 × 2 = 10
4 × 2 = 8
10 + 8 = 18
Hope this helps!
Last year Luis read 187 books. This year he read 224 books. Next year he wants to read 285 books. If Luis reaches his goal , how many books will Luis have read
Answer:
Luis would have read 696 books if he reaches his reading goal for the next year.
Step-by-step explanation:
we know that
If Luis reaches his goal, to find out how many books Luis will have read, add up the number of books he read last year plus the number of books he read this year plus the number of books he wants to read next year
so
[tex]187+224+285=696\ books[/tex]
Final answer:
When Luis reaches his goal next year, he will have read a total of 696 books.
Explanation:
Luis's book reading progression:
Last year: 187 booksThis year: 224 booksNext year (goal): 285 booksTo find out how many books Luis will have read if he meets his goal next year, add the total number of books read over the years:
187 (last year) + 224 (this year) + 285 (next year) = 696 books
Which expression is equivalent to Negative 6 (negative two-thirds + 2 x)? Negative 4 minus 12 x Negative 4 + 2 x 4 minus 12 x 4 + 12 x
The expression that is equivalent to -6 (-[tex]\frac{2}{3}[/tex] + 2x) is option C - 4 - 12x.
To simplify the expression -6 (-[tex]\frac{2}{3}[/tex] + 2x) distribute the -6 to each term inside the parentheses:
-6 (-[tex]\frac{2}{3}[/tex] + 2x) = (-6 × -[tex]\frac{2}{3}[/tex]) + (-6 × 2x)
Now multiply the terms inside each bracket and simplify:
(-6 × -[tex]\frac{2}{3}[/tex]) + (-6 × 2x) = (-6 × -[tex]\frac{2}{3}[/tex]) - 12x
= 4 - 12x
The question is:
Which expression is equivalent to -6 (-[tex]\frac{2}{3}[/tex] + 2x)?
A. -4 - 12x
B. -4 + 2x
C. 4 - 12x
D. 4 + 12x
-2(4 - 3x) + (5x - 2)
Answer:
= 11x-10
Step-by-step explanation:
here are the steps
Answer:
-6+11x
Step-by-step explanation:
distribute -2 to the parenthsis:
-2*4=-8, -2*-3x=6x
next simplify (5x-2) to 5x+2
-8+6x+5x+2
then combine x terms and non-x terms to get -6+11x
Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following:
(i) 31% of all Dalmatians have blue eyes.
(ii) 38% of all Dalmatians are deaf.
(iii) 42% of blue-eyed Dalmatians are deaf.
What is the probability that a randomly chosen Dalmatian is blue-eyed and deaf?
Answer:
0.1302 or 13.02%
Step-by-step explanation:
So we know that 31% of the Dalmatians are blue eyed so that is 0.31. We also know that 42% of blue eyed Dalmatians are deaf so that is 0.42.
To find the probability of a blue eyed deaf Dalmatian we need 42% of 31%, so we need to do:
0.42 × 0.31 = 0.1302 or 13.02%
Which of the following is the standard form of y= -2/3x + 6
A. 2/3x + y = 6
B. -6 = -2/3x - y
C. 2x + 3y = 18
D. -2x - 3y =18
Answer:
C) 2x+3y=18
Step-by-step explanation:
y=-2/3x+6
y-(-2/3x)=6
y+2/3x=6
2/3x+y=6
3(2/3x+y)=3(6)
6/3x+3y=18
2x+3y=18
Write an algebraic expression for the following word phrase the quotient of 38 and x
Answer:
38/x
Step-by-step explanation:
quotient is / (division)
just fill in the slots
__ / __
38 / __
38 / x
The algebraic expression for the phrase 'the quotient of 38 and x' is
38 ÷ x.
The word phrase "the quotient of 38 and x" can be translated into an algebraic expression as follows:
"The quotient" refers to division, so we will use the division symbol (÷).
"38" represents the numerator of the quotient, the number that is being divided.
"x" represents the denominator of the quotient, the number by which we are dividing.
Therefore, the algebraic expression for "the quotient of 38 and x" is:
38 ÷ x
In this expression, 38 is divided by x, and the result of this division is the value of the expression.
Depending on the value of x, the result will change accordingly.
If x were equal to 2, for example, then the expression would evaluate to 38 ÷ 2 = 19. If x were equal to 5, the expression would evaluate to 38 ÷ 5 = 7.6, and so on.
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What is the answer to 4x+6+3=17
Answer:
x=2
Step-by-step explanation:
17-3-6=8
8/4=2
4p2-p=0 how do you solve this
combine you like terms
4p and -p = 3p
3p+2=0
subtracts 2 from itself and 0
3p=-2
divide 3p from itself and -2
p=-2/3
Final answer: [tex]4p^2[/tex]- p = 0, factor out the greatest common factor (p) and solve for p by setting each factor equal to zero. The solutions are p = 0 and p = 1/4.
Explanation:
To solve the quadratic equation [tex]4p^2[/tex] - p = 0, we can use the factoring method or the quadratic formula. In this case, factoring is convenient:
First, factor out the greatest common factor, which is p:p(4p - 1) = 0Then, set each factor equal to zero and solve for p:p = 0 or 4p - 1 = 0When 4p - 1 = 0, solving for p gives us p = 1/4.Therefore, the solutions to the equation are p = 0 and p = 1/4.
write the time 1:49 in two ways
Answer:
1 hour and 45 mins or 1 hour, 40 mins, and 5 seconds
Step-by-step explanation:
The time 1:49 can be written as 1:49 AM or 1:49 PM in the 12-hour clock, and as 01:49 in the 24-hour clock.
Explanation:To write the time 1:49 in two ways, we can use both the 12-hour clock and the 24-hour clock.
In the 12-hour clock, 1:49 can be written as 1:49 AM in the morning or 1:49 PM in the afternoon.In the 24-hour clock, 1:49 can be written as 01:49.Learn more about writing time in different formats here:https://brainly.com/question/13749640
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PLEASE HELP!!! Which of the following are considered measures of center?
I. mean
II. median
III. interquartile range
A.
I only
B.
III only
C.
I and II only
D.
I, II, and III
Answer:
C. I and II only
Step-by-step explanation:
Measures of center are mean median and mode. IQR is a range and therefore would not bring you to one number near the "center" of the data.
What is the solution of 5y=-1x and 10y=-2x
Answer:
5y = -1x
Step-by-step explanation:
Those 2 expressions are equivalent, so they don't tell us anything. This means that the answer in simplest is the starting expression - 5y = -1x
Questions are on the paper please help!
Answer:
1: 110 degrees / Opposite angles theorem
2: 70 degrees / Supplementary angles -> 110 + ___ = 180 -> ___ = 70
3: 38 degrees / Supplementary angles -> 142 + ___ = 180 -> ___ = 38
4: 142 degrees / Opposite angles theorem
5: 38 degrees / Supplementary angles -> 142 + ___ = 180 -> ___ = 38
6: 142 degrees
7: 142 degrees / Opposite angles theorem
8: 38 degrees / Supplementary angles -> 142 + ___ = 180 -> ___ = 38
9: I cant see
10: 137 degrees / Opposite angles theorem
11: 43 degrees / Supplementary angles -> 137 + ___ = 180 -> ___ = 43
12: I cant see
13: 43 degrees / Supplementary angles -> 137 + ___ = 180 -> ___ = 43
14: 137 degrees
(-5 +x)(x+4)solve.
Is the product of -5 +x and x+4 equal to the product of 5+x and x-4? Explain your answer.
(2+5)(3²+4−3) solve.
Answer:
Yes , the products of both expressions are the same
Step-by-step explanation:
Given
(-5 + x)( x + 4)
Using the distributive property we have
-5xx -5x4 + xxx +xx4
Negative times positive becomes negative
-5x - 20 + x^2 + 4x
Also (5 + x)(x - 4)
Using the distributive property
5xx +5-4 + xxx +xx-4
5x^2 -20 + x^2 - 4x
The product of -5 + x and x + 4 is equal to the product of 5 + x and x - 4
Answer:
5-x and 4-x would be your answer
Step-by-step explanation:
Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.
Given = 8 cm
Answer:
[tex]x=4\sqrt{2}\ cm[/tex]
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides
Let
x ----> the length of the leg
Applying the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (the greater side)
a and b are the legs of the right triangle
In this problem we have
[tex]c=8\ cm[/tex]
[tex]a=b=x\ cm[/tex]
substitute
[tex]8^2=x^2+x^2\\\\64=2x^2\\\\x^2=32\\\\x=\sqrt{32}\ cm[/tex]
simplify
[tex]x=4\sqrt{2}\ cm[/tex]
Question 1
If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in
complete sentences to earn full credit.
If you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? Show work and answer in
complete sentences to earn full credit.
Which would you rather do?
Answer:
i) $500 at 5% simple interest for two years. Interest = 550 - 500 = $50
ii) $500 at 3% compounded monthly for 2 years.
Interest = 530.88 - 500 = $30.88
Step-by-step explanation:
i) $500 at 5% simple interest for two years.
Initial amount, P = $ 500
Rate of interest, r = 0.05
Time in years, t = 2
Therefore Final amount A = P(1 + rt) = 500(1 + (0.05 [tex]\times[/tex] 2) ) = $550
Therefore Interest = 550 - 500 = $50
ii) $500 at 3% compounded monthly for 2 years
Initial or Principal Amount, P = $500
Rate of interest, r =0.03
number of conversions, m = 12
Time in years, t = 3
Therefore final amount, [tex]A = P(1 + \frac{r}{m}) ^{mt} = 500( 1 + \frac{0.03}{12} )^{(12\times2)} = 500( 1 + \frac{0.03}{12} )^{24}[/tex] = $530.88
Therefore Interest = 530.88 - 500 = $30.88
A man purchased a magazine at the airport for $ 2.89 . The tax on the purchase was $ 0.18 .What is the tax rate at the airport? Round to the nearest percent.
The tax rate is __%. (Round to the nearest percent as needed.)
The tax rate is 6 %
Solution:
Given that, A man purchased a magazine at the airport for $ 2.89
The tax on the purchase was $ 0.18
To find: tax rate in percentage
From given,
Magazine price = 2.89
Tax amount = 0.18
Therefore, tax percent is given as:
Let "x" be the tax percent
x % of magazine price = tax amount
x % of 2.89 = 0.18
Solve the equation for "x"
[tex]x \% \times 2.89 = 0.18\\\\\frac{x}{100} \times 2.89 = 0.18\\\\2.89x = 0.18 \times 100\\\\2.89x = 18\\\\Divide\ both\ sides\ by\ 2.89\\\\x = 6.22 \approx 6[/tex]
Thus tax rate is 6 %