=================================================
Explanation:
1/5 of the tiles are indian red
3/10 of the tiles are Tuscan blue
1/6 of the tiles are eucalyptus
x of the tiles are sand, where x is some fraction
The four fractions listed above add to 1. The "1" refers to a whole back splash, in which you can think of "1" as "100%"
-----------
We have the fractions 1/5, 3/10 and 1/6
To combine these fractions, we need a common denominator. In this case, the lowest common denominator (LCD) is 30 as this is the LCM of the denominators 5, 10, and 6.
Let's get each fraction to have a denominator of 30
1/5 = (6/6)*(1/5) = 6/30
3/10 = (3/3)*(3/10) = 9/30
1/6 = (5/5)*(1/6) = 5/30
-----------
So effectively we have these fractions: 6/30, 9/30, and 5/30
They add to the unknown fraction x to get 1
Let's solve for x.
-----------
(1/5) + (3/10) + (1/6) + x = 1
(6/30) + (9/30) + (5/30) + x = 1
(6/30 + 9/30 + 5/30) + x = 1
(6 + 9 + 5)/30 + x = 1
20/30 + x = 1
2/3 + x = 1
x + 2/3 = 1
x+2/3-2/3=1-2/3 ... subtract 2/3 from both sides
x = 1 - 2/3
x = 3/3 - 2/3
x = (3 - 2)/3
x = 1/3
------------
1/3 of the tiles are the color of sand
Final answer:
One third of the tiles will be the color of sand. This is found by adding the fractions of the other colors, simplifying, and subtracting from one whole set of tiles.
Explanation:
To find the fraction of the tiles that will be the color of sand, we first need to calculate the total fraction of tiles that have already been assigned colors: Indian red, Tuscan blue, and eucalyptus. Then we subtract this total from 1, which represents the whole set of tiles, to find the remaining fraction for the sand-colored tiles.
Indian red: ⅓ of the tilesTuscan blue: ⅗ of the tilesEucalyptus: ⅙ of the tilesAdding these fractions:
⅓ + ⅗ + ⅙ = ⅓ + (⅗ × 2/2) + (⅙ × 5/5)= ⅓ + ⅖ + ⅓= 10/15Now, we convert 10/15 to a simplified fraction:
10/15 = 2/3 (dividing both numerator and denominator by 5)To find the fraction for sand-colored tiles, subtract the total colored fraction from 1:
1 - 2/3 = 3/3 - 2/3= 1/3Therefore, one third of the tiles will be the color of sand.
the local pet store receives a shipment of tropical fish 75% of the tropical fish were clownfish if the shipment includes 60 clownfish how many total tropical fish were in the shipment
Answer:
105
Tropical fish:75%
60 clownfish included in shipment
Step 1 :Multiply 75%×60
Step 2:Simplify 60×75÷100=6×75/10=450/10=45
Step 3:Add 60+45=105
Mindy is saving money she started with $0 after six weeks she had $90 saved mindy is not sure exactly how much money she saved each week she assumes that she saved money at a constant rate from when she started saving money through week 6 what is the proportional relationship
The amount saved per week is $15 assuming a constant saving rate per week.
Initial amount = $0Final amount = $90Number of week, n = 6Assume she has saved at a constant rate ;
The amount saved per week will be : (Final amount - initial amount) / number of weeks ($90 - $0) ÷ 6$90 ÷ 6 = $15The amount saved per week is $15
Learn more : https://brainly.com/question/13218948
Final answer:
Mindy saved $90 over 6 weeks, suggesting a constant rate of saving $15 per week. The proportional relationship between her total savings (y) and the number of weeks (x) is y = 15x.
Explanation:
Mindy started with $0 and after six weeks had $90. To find the proportional relationship between the money saved and the number of weeks, we assume that she saves the same amount every week. Since we know the total savings and the total time, we can divide the total savings by the number of weeks to find the constant rate.
Mindy's weekly saving rate would be:
Calculate the total amount saved: $90.
Divide the total amount by the number of weeks: $90 ÷ 6 weeks.
The result is $15 per week.
Therefore, the constant rate of saving is $15 per week. The proportional relationship can be represented as y = 15x, where y represents the total amount saved and x represents the number of weeks.
slope = –8, (1,4) in slope intercept form
Answer:
y= -8x-12
Step-by-step explanation:
y-4= -8(x-1)
-8x+8
+4= +4
y= -8x+12
Answer:
The correct answer on E2020 Is y=-8x(1,4)+y+8x+(1,4)
Hope this helps you!
(p.s:Please mark me as brainlyest!)
Step-by-step explanation:
I just took the test
A freight train travels 1445 miles in 25 hours. What is the train's average rate of speed?
Final answer:
The average speed of the freight train is found by dividing the distance traveled, 1445 miles, by the time taken, 25 hours, resulting in an average speed of 57.8 mph.
Explanation:
To calculate the average speed of the freight train, we divide the total distance traveled by the time it took to cover that distance. The train travels 1445 miles in 25 hours.
The formula for average speed is:
average speed = total distance / total time
Therefore, the average speed of the train is:
average speed = 1445 miles / 25 hours = 57.8 miles per hour (mph)
prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1
Step-by-step explanation:
sin(x−y) / (cos x sin y)
Use angle sum/difference formula:
(sin x cos y − sin y cos x) / (cos x sin y)
Divide:
(sin x cos y) / (cos x sin y) − 1
Rearrange:
(sin x / cos x) (cos y / sin y) − 1
Simplify:
tan x cot y − 1
hello! could anyone help me on this one khan acadamy question. it is soooooooo hard for me to understand this lesson.
-1 / 4 = -0.25
1 / 3 = .3
-0.25 / .3 = -0.833333333.
Answer:
-3/4
Step-by-step explanation:
1/2 / 3 equals x / 4
Answer:
x=2/3
Step-by-step explanation:
(1/2)/3=x/4
(1/2)(1/3)=x/4
1/6=x/4
cross product,
6*x=1*4
6x=4
x=4/6=2/3
x=2/3
find c in the pic below
Answer:
A
Step-by-step explanation:
To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).
Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).
So that angle is 122.
The inside triangle angle (what we want) is adjacent to 122, so we can write:
Angle + 122 = 180 [straight angle/straight line is 180 degrees]
Solving for that angle, we have:
Angle = 180 - 122 = 58
Now, looking at the triangle, Side C is "opposite" of 58° and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).
Which trig ratio relates "opposite" and "hypotenuse"??
Yes, it is SIN. Thus we can write:
[tex]Sin(58)=\frac{Opposite}{Hypotenuse}=\frac{C}{20}[/tex]
We can now solve for C:
[tex]Sin(58)=\frac{C}{20}\\C=20*Sin(58)\\C=16.96[/tex]
Correct answer is A
A student answered three questions on a 40-percent test incorrectly. What percent did the student answer correctly
Answer:
The percentage of questions correctly answered by the student was 92.5%
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Number of questions incorrectly answered by the student = 3
Number of questions on the test = 40
2. What percentage did the student answer correctly?
Number of questions correctly answered by the student = Number of questions on the test - Number of questions incorrectly answered by the student
Replacing with the real values:
Number of questions correctly answered by the student = 40 - 3
Number of questions correctly answered by the student = 37
Now, let's calculate the percentage:
Percentage = Number of questions correctly answered by the student /Number of questions on the test * 100
Percentage = 37 /40 * 100
Percentage = 0.925 * 100
Percentage = 92.5%
there are about 9 billion devices(9×10 to the ninth power) connected to the Internet. If a wireless router can support 300 devices how many wireless routers are necessary to connect oh 9 billion devices wirelessly? Write in scientific notation.
3*10^7 routers will be needed for 9 billion devices
Step-by-step explanation:
Given
[tex]Total Devices = 9\ billion = 9*10^9\ devices\\[/tex]
1 router supports 300 devices
So we have to divide the total number of devices by the devices supported by 1 router to find the number of routers
So,
[tex]Total\ number\ of\ routers= \frac{Devices}{Devices\ with\ one router}\\=\frac{9*10^9}{300}\\=\frac{900*10^7}{300}\\=3*10^7\ routers[/tex]
Hence,
3*10^7 routers will be needed for 9 billion devices
Keywords: Routers, devices
Learn more about routers at:
brainly.com/question/10364988brainly.com/question/10435816#LearnwithBrainly
what method can you use to calculate 40÷7 fast?
Answer:
Usally the fastest method to calculating a problem is to do it in your head. With enough practice your brain will be faster then most tools, ganing efficiency with practice.
Answer:
Step-by-step explanation:
In your head:
5 * 7 = 35 so its 5 point something with remainder 5.
7*7 = 49 so its 5.7 approximately.
BIG IDEAS MATH
Writing Expressions > Section Exercises 3.2 > Exercise 27
Write the phrase as an expression. Then evaluate when y = 20.
3 less than the quotient of a number y and 4
Expression:
When y=20, the value of the expression is
Basic
Write the phrase an expression. The evaluate when y=20
3 less than the quotient of a number y and 4.
Answer:
The required expression is [tex]\frac{y}{4}-3[/tex].
The value of the expression when y=20 is 2.
Step-by-step explanation:
Consider the provided phase.
3 less than the quotient of a number y and 4
The quotient of a number y and 4 can be written as: [tex]\frac{y}{4}[/tex]
Now 3 less than the quotient of a number y and 4 can be written as:
[tex]\frac{y}{4}-3[/tex]
Hence, the required expression is [tex]\frac{y}{4}-3[/tex].
Now evaluate when y=20.
Substitute y=20 in above expression.
[tex]\frac{20}{4}-3[/tex]
[tex]5-3[/tex]
[tex]2[/tex]
Hence, the value of the expression when y=20 is 2.
michael mixes 60 ounces of red paint with 15 ounces of blue paint to get a shade of purple.what is the ratio of red paint to blue paint expressed in lowest terms?
Answer: 4:1
Step-by-step explanation:
Red paint = 60 ounces
Blue paint = 15 ounces
Ratio = 60/15 = 4/1 = 4:1 to the lowest term.
Julie has 42 sheets of paper. She gives 17 sheets of paper to karo. How many sheets of paper does julie have now explained please help me
Answer:
25
Step-by-step explanation:
Subtract 17 from 42.
Answer:
42-17=25
Step-by-step explanation:
just subtract 17 from 42
A triangle has two angles measuring 69 and 77. Determine the measure of the third angle b
Answer:
[tex]m\angle B=34\°[/tex]
Step-by-step explanation:
Given measures of 2 angles of a triangle :
m∠A = 69°
m∠C = 79°
Find m∠B.
We know that sum of angles of a triangle =180°
So, we have
[tex]m\angle A+m\angle B+m\angle C=180\°[/tex]
Substituting the vales of m∠A = 69° and m∠C = 79°
[tex]69\°+m\angle B+77\°=180\°[/tex]
Adding like terms.
[tex]m\angle B+146\°=180\°[/tex]
Subtracting both sides by 146°.
[tex]m\angle B+146\°-146\°=180\°-146\°[/tex]
∴ [tex]m\angle B=34\°[/tex] (Answer)
Create a 3rd degree
polynomial and divide it by x-2. Show all steps. WILL MARK BRAINLEST!
Step-by-step explanation:
Monomial = x^2, 1 term
Binomial = x^2 + x, 2 terms
Trinomial = x^2 + x + 3, three terms
Binomial is more than 3 terms
Let's do a 3rd degree polynomial like:
[tex] {x}^{3} + 2x^{2} + 4x + 8[/tex]
Now let's put parenthesis around (x^3 + 2x^2) and (4x + 8)Let's treat both of these as seperate for now. In the first part, you can see an x^2 can be factored out of itFor example:[tex] {x}^{2} (x + 2)[/tex]
As you can see, if you do the distributive property, it equals the original.Now let's factor the second part, the 4x + 8. This can be factored by a 4.
[tex]4(x + 2)[/tex]
Your new equation is:
[tex] \frac{( {x}^{2} + 4)(x + 2)}{x - 2} [/tex]
x^2 + 4 can be factored again down to (x + 2)(x + 2)
YOUR FINAL EQUATION IS:
[tex] \frac{(x + 2)(x + 2)(x + 2)}{x - 2} [/tex]
What is the solution to the equation
2/3x+1/6=1
Answer:
x = 5/4
Step-by-step explanation:
We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.
[tex]\frac{2}{3}x + \frac{1}{6} = 1[/tex]
[tex]\frac{4}{6}x + \frac{1}{6} = 1[/tex] Give the fractions common denominators
[tex]\frac{4}{6}x + \frac{1}{6} - \frac{1}{6} = 1 - \frac{1}{6}[/tex] Subtract 1/6 from both sides
[tex]\frac{4}{6}x = 1 - \frac{1}{6}[/tex] 1/6 is cancelled out on the left side
[tex]\frac{4}{6}x = \frac{5}{6}[/tex] Simplify the right side
[tex]\frac{\frac{4}{6}x}{4/6} = \frac{\frac{5}{6}}{4/6}[/tex] Divide both sides by 4/6
[tex]\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}[/tex] Dividing is like multiplying by the flipped second fraction on both sides
[tex]\frac{24}{24}x = \frac{30}{24} [/tex] Simplify. 24/24 = 1 and reduce 30/24
[tex]x = \frac{5}{4} [/tex] Final answer
HELP!! ILL MARK BRANLIEST!!
Determine the approximate ordered pair for f(x) = g(x).
the graph of two linear functions negative 4 times x plus 15 times y equals negative 300 and 20 times x plus 4 times y equals negative 20
(−3, 9)
(−3, 8)
(3, −19)
(3, −8)
Answer:
3, -19 is the answer
Step-by-step explanation:
solved it
Answer:
Its D
Step-by-step explanation:
look above
Duke went to the convenience store to buy a frozen pizza and some
toothpaste, and while he was in the checkout line, he also threw a ballpoint
pen and a banana into his shopping basket. Which two products were
impulse purchases?
A. The frozen pizza and the banana
O
O
B. The ballpoint pen and the toothpaste
C. The ballpoint pen and the banana
O
O
D. The frozen pizza and the toothpaste
Answer:
ballpoint pen and banana
Step-by-step explanation:
What is the product of 4.23 and 1.2
Answer:
its 5.08
Step-by-step explanation:
1. What is 15% of 60?
15%×60=
=15×60/100
=900/100
=9
Answer:
9
Step-by-step explanation:
15/100 = 60/x
Cross Multiply...
100x = 15*60
100x = 900
x = 900/100
x = 9
Susie wants to write equations in the form y=mx + b for the lines passing through
point R that are parallel and perpendicular to line s. First she finds the slope of lines
and line v to be and the slope of line t to be 3. Point R is located at (2, 2). Which
step could be used to find the y-intercepts?
Answer:
Substitute the slope and the coordinates of point R (2,2) in y=mx+b and then solve for b for each equation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Substitute the slope and the coordinates of point R (2,2) in y=mx+b and then solve for b for each equation.
if john can buy 8 liters of soft drinks at the store for $6.40 how much does it cost to buy 12 liters
Answer:
$9.60
Step-by-step explanation:
first figure out cost for 1 liter.
6.40 / 8 = 0.80
1 liter = $0.80
12 * 0.80 = 9.60
12 liter = $9.60
Which is the simplified version of 7x+12+3x=-6(x-7)+9x ?
Answer:
x=30/7
Step-by-step explanation:
7x+12+3x=-6(x-7)+9x
10x+12=-6x+42+9x
10x+12=3x+42
10x-3x+12=42
7x+12=42
7x=42-12
7x=30
x=30/7
Jonah plants flower in garden. He plants 2 flowers in each row and 5 rows. DrAw an array to figure out how many flowers he has planted
change 5.25 to mixed number
Answer:
Step-by-step explanation:
5 1/4 or 525
Reduce each fraction:
144 over 168
144/168
reduce the fraction by dividing by 4
144/4= 36
168/4= 42
36/42 - reduce by dividing by 6
36/6= 6
42/6= 7
answer:
6/7
Find the square root of (3√5-3)³
Answer: 76.36753237
Step-by-step explanation:
If you have trouble, you can always use Desmos Scientific calculator and get your answer straight away.
Two customers went to a post office to buy postcards and large envelopes. Each postcard
costs the same amount, and each large envelope costs the same amount.
The first customer paid $12 for 14 postcards and 5 large envelopes.
The second customer paid $24.80 for 10 postcards and 15 large envelopes.
•
What was the cost in dollars of each large envelope?
A $1.42 c $1.15
B $0.35 D $0.63
The right answer is Option A.
Step-by-step explanation:
Let,
x be the postcards
y be the large envelops
According to given statement;
14x+5y=12 Eqn 1
10x+15y=24.80 Eqn 2
Multiplying Eqn 1 by 3;
[tex]3(14x+5y=12)\\42x+15y=36\ \ \ Eqn \ 3[/tex]
Subtracting Eqn 2 from Eqn 3;
[tex](42x+15y)-(10x+15y)=36-24.80\\42x+15y-10x-15y=11.20\\32x=11.20\\[/tex]
Dividing both sides by 32
[tex]\frac{32x}{32}=\frac{11.20}{32}\\x=0.35[/tex]
Putting x=0.35 in Eqn 1;
[tex]14(0.35)+5y=12\\4.90+5y=12\\5y=12-4.90\\5y=7.10[/tex]
Dividing both sides by 5
[tex]\frac{5y}{5}=\frac{7.10}{5}\\y=1.42[/tex]
Therefore, one large envelope costs $1.42
The right answer is Option A.
Keywords: linear equations, subtraction
Learn more about linear equations at:
brainly.com/question/9738996brainly.com/question/10015690#LearnwithBrainly
Answer: A. $1.42
Step-by-step explanation: I did it on the test and got it right!
Please answer this correctly is the answer
2:29am
3:29am
1:35am
6:29am
Answer:
2:29 AM
Step-by-step explanation:
By the time the planes reaches California, the time, in Mountain time, is 14:89 AM or 3:29 AM. From the mountains to the Pacific, the time goes back by 1 hour. 3:29 - 1 hour is 2:29 AM.