Answers
8. 11/12 gallons of paint
10. 23/24 gallons of drink mix
Step-by-step explanation:
Note: When denominators are different, you must find a common denominator between the two fractions by multiplying both values
Ex: 1/3 and 1/4 = 4/12 and 3/12 common denominator is 12
8. Find the common denominator, 3/4 and 1/6, multiple the first denominator, 4, with three to get 12. Now multiply the numerator by the same number. 9/12 is our new fraction. Since the new denominator is 12, we have to get the other denominator to be 12 as well. Multiply 6 from 1/6 by 2 to get 12. Now do the same with the numerator. 2/12 is our new fraction, and all that's left is to add them together to find how much paint Damon has in total, which is 11/12 gallons.
10. Same concept as the above, 1/12 and 7/8 have a common denominator of 24, multiply 1 and 12 by two to get 2 and 24. Multiply 7 and 8 by 3 to get 21 and 24. 2/24 and 21/24 are our new fractions to add together. 23/24 is our answer.
Enjoy
Related Questions
witch ratio is equivalent to 1:2 A. 9:18 B.24:12 C.7:14
Answers
Answer:
C
Step-by-step explanation:
13/x = 2/2-x
enter the value of x that makes the equation true
Answers
Answer:
26/15
Step-by-step explanation:
13/x= 2/2-x
the next step from here is to cross multiply and when we do that it's looks like this
13(2-x)=2*x
then we multiply
26-13x=2x
we then collect like terms
26=15x
therefore x= 26/15
we can leave our answer in this format or convert it to mixed fraction or decimal but its best to leave it in this format
Two or more expressions with an Equal sign is called as Equation. Value of x is 26/15 for equation 13/x=2/(2-x)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is
13/x=2/(2-x)
Apply cross multiplication
13(2-x)=2x
Apply Distributive property on LHS side
13(2)-13x=2x
26-13x=2x
Add 13x on both sides
26-13x+13x=2x+13x
26=15x
x=26/15
Hence value of x is 26/15 for equation 13/x=2/(2-x)
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What is the slope-intercept form of this equation? Show all your work. 6x + 2y = 12
Answers
from converting the linear equation 6x - 2y = 12 and slope intercept form we have to transpose terms to get the value of y hence equation and slope intercept form is y = 3x - 6.
A 50 inch board is to be cut into three pieces so that the second piece is 4 times as long as the first piece and the third piece is 5 tumes as long as the first piece. If x represents the length of the first piece, find the length of all three pieces.
Answers
Answer:
x = 5
Step-by-step explanation:
Piece 1 has length 5 inches
Piece 2 has length 20 inches
Piece 3 has length 25 inches
total length:50 inches
Middletown University charges $29,000 for tuition. If they raise their tuition by 5% each year,
how much will tuition be in 3 years?
Answers
Answer:
$33,350
Step-by-step explanation:
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$29000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=29000\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=29000(1.05)^3\implies A\approx 33571.13[/tex]
The length of two sides of the triangle measure 8.3 inches and 9 inches. What is a possible length of the third side in inches?
Answers
Explanation: using Pythagorean theorem plug in your sides
a^2+b^2=c^2
8.3^2+9^2=c^2
_/68.89+81= 12.243
Kiara sets up a passcode on her smart phone, which allows only eight-digit codes. A spy sneaks a look at Kiara's smart phone and sees her fingerprints on the screen over
eight numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded
to the nearest millionth.
Answers
Probabilities are used to determine the chances of events
The probability the spy is able to unlock the smart phone on his first try is 0.00000001
How to determine the probabilityThe length of the password is given as:
L = 8
Each of the digit in the password can take any of digits 0 - 9 (i.e. 10 digits)
So, the number of possible password is:
[tex]n = 10^8[/tex]
The probability that the spy unlocks the phone is:
[tex]p =\frac 1n[/tex]
So, we have:
[tex]p = \frac 1{10^8}[/tex]
Simplify
[tex]p = 0.00000001[/tex]
Hence, the probability the spy is able to unlock the smart phone on his first try is 0.00000001
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Which set of ordered pairs represents a
function?
{(6,8),(-4,2), (-7,4), (-7,8)}
{(0,9), (3,5), (0, -4), (6,2)}
{(6,0), (-7,2), (4, 8), (9,2)}
o {(-5,5), (0, -3), (-5, -2), (6,8)}
Submit Answer
help me please
Answers
keeping in mind that a function is a set that has no X-repeats, namely the x-coordinate on every pair is never repeated, let's check these ones.
Check the picture below.
given the information in the picture which trigonomic identity can be used to solve for the height of the blue ladder that is leaning against the building
Answers
Answer:
cosine rule - cos = [tex]\frac{a}{h}[/tex]
Step-by-step explanation:
Here the ladder is acting as hypotenuse and base as adjacent.
Formula: cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex]
And we know
[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \tt\hookrightarrow tan47=\dfrac{P}{30}[/tex]
Snow fell from 6:30 a.m. to 11:00 a.m, accumulating at a constant rate. At 8:00 a.m., the snow was 8 inches deep. By 11:00 a.m., it was 20 inches deep.
How much snow fell each hour?
inches
How much snow was already on the ground at 6:30 a.m.?
inches
Complete the equation that describes the relationship between the depth of the snow in inches, S, and the elapsed time in hours, t.
Write your answer using whole numbers or decimals rounded to the nearest tenth
Answers
The first question answer is 4
can some one please help me on this and make it quick im leeving for a long trip here soon.
Answers
Answer:
364.46
Step-by-step explanation:
First we need the height of the cone
so we divide the cone to two equal parts that means the adjacent 5 inches will be divided into two to give 2.5
then we use get a triangle from the cone and that's how we find our height using pythagoras theorem
hypotenuse Square = opposite Square + adjacent Square
7^2 = x^2 + 2.5^2
therefore our height is 6.53
now to get the surface area of the cone we use the formula
pi×r( r + Square root of r^2 + h^2
Fill in the missing numbers
1,2,3,5,_,_,_
Answers
1,2,3,5,8,13,21
Solve the proportion 4/5 = y/7 y=?
Answers
Hi!
I can help you with joy!
In order to solve a proportion, all you should do is cross-multiply:
Cross-multiplying is exactly what it sounds like.
In this case, we Multiply
4 times 7
5 times y
28=5y
Divide both sides by 5:
5.6
Hope it helps!
-Nature
Given in the question, [tex]\frac{4}{5} =\frac{y}{7} \\[/tex], using the concept of direct proportion, y = 5.6
Direct proportion is the concept of proportionality where one variable increases/decreases when another increases/decreases and vice versa. The rate of increase/decrease can be measured through the constant ratio. The two quantities which are directly proportional are related by a Direct Proportion symbol '∝'.
Given in the question,
[tex]\frac{4}{5} =\frac{y}{7} \\[/tex]
multiplying 7 on both sides,
[tex]\frac{4}{5}*7 = \frac{y}{7} *7\\ \\ \frac{28}{5} = y \\\\y = 5.6[/tex]
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1. In a concert hall, the number of seats in each row increases as you move farther from the stage. There are
the first row, 38 seats in the second row, and 45 seats in the third row.
a) If this pattern continues, determine what type of sequence this represents. Then write a function rule in simplified
form that can be used to find the number of seats in the nth row. Be sure to use the correct notation you have
learned this unit. Show ALL work.
b) Use the rule to determine which row has 290 seats. Show ALL work.
Answers
According to the situation described, we have that:
a) The arithmetic sequence that gives the number of seats in the nth row is given by:
[tex]a_n = 24 + 7n[/tex]
b) The 38th row has 290 seats.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Item a:
The first row has 31 seats, the second has 38, the third has 45 and so on, hence:
It is an arithmetic sequence.The common difference is d = 7.The first term is [tex]a_1 = 31[/tex].Then, the rule is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = 31 + 7(n - 1)[/tex]
[tex]a_n = 24 + 7n[/tex]
Item b:
This is the nth row, for which [tex]a_n = 290[/tex], hence:
[tex]a_n = 24 + 7n[/tex]
[tex]290 = 24 + 7n[/tex]
[tex]7n = 266[/tex]
[tex]n = \frac{266}{7}[/tex]
[tex]n = 38[/tex]
The 38th row has 290 seats.
You can learn more about arithmetic sequences at https://brainly.com/question/26366645
PLEASE HELP WITH THIS MATH QUESTION
Answers
Answer:
4
Step-by-step explanation:
the amplitude is the distance from the crest to the trough of one wave
in this case, from 2 to -2
If two cards are randomly drawn from a deck of ordinary playing cards, one at a time, with replacement, what is the probability of obtaining no aces
Answers
Answer:
144/169
Step-by-step explanation:
There are 52 cards, 4 are aces, so the probability of not getting ace is 48/52, so we square it, or multiply it by itself to get 144/169
PLS HELP Answer this question for me pls its for math 6th grade
Answers
Answer:
it shows that customer A's account balance has changed the most.Step-by-step explanation:
look at the file customer A is your answer-6 + 3m + 2 - M + 8 simplified
Answers
Answer:
2(m+2)
Step-by-step explanation:
[tex]=-6 + 3m + 2 - m + 8\\\\=4+2m\\\\=2m+4\\\\=2(m+2)[/tex]
[tex] \sf \dashrightarrow \: - 6 + 3m + 2 - m + 8[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: - 4 + 3m - m + 8[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: 3m - m + 4[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: 2m + 4[/tex]
[tex] \\ [/tex]
[tex] \sf \dashrightarrow \: 2(m + 2)[/tex]
144ab – 108b2
Question 12 options:
36(4ab – 3b2)
36b(4a – 3b)
12b(12a – 9b)
36a(4b – 3b2)
Answers
Answer:
114ab-108b2=
collect like terms
114-108=6
divide by the coefficient of the number
b÷2=b
=6÷2=3
b=3
solve for x,y, and 15
Answers
Answer:
27
Step-by-step explanation:
x + y = 15 (gallons) (1)
0.25*x + 0.10 * y = 0.15 * 15 (2)
Multiply 100 on (2):
25x + 10y = 15
Divede by 5
5x + 2y = 3 (3)
From (1) y = 15 - x
so 5x + 10*(15 - x) = 15
5x + 150 - 10x = 15
-5x = 15 - 150 = -135
x = 135/5 = 27 (gallons)
3/4 -2 1/2 please show step by step process
Answers
Answer:
-7/4 or -1 3/4
Step-by-step explanation:
Step 1. Convert into improper fraction.
2 1/2 = 5/2
Step 2. Convert the fractions into common denominator.
5/2 = 10/4
Step 3. Subtract.
3/4 - 10/4 = -7/4
To visit the manila Zoo, 11 adults and 5 Children have to pay 270 whereas 14 adults and 9 children have to pay 370? Find the total amount a family of 2 adults and 3 children has to pay to visit the zoo.
Answers
Step-by-step explanation:
let adults be x and childrens be y
a/q
11x + 5y = 270
14x + 9y = 370
→ x = -5/11y + 270/11 ; 14x + 9y = 370
→ 14(-5/11y + 270/11) + 9y = 370
→ y = 10
→ x = -5/11 × 10 + 270/11
→ x = -50/11 + 270/11
→ x = 20
therefore, we got
x = 20, y = 10
each adult have to pay 20 and each children have to pay 10
so,
2 × 20 = 40
3 × 10 = 30
40 + 30 = 70
for a family of 2 adults and 3 children they have to pay 70.
hope this helps you dear.
What is the value of the expression 9 + (1/2) with a power of 4 • 48? A. 12 B. 15 C. 17 D. 18
Answers
Answer:
Option A
Step-by-step explanation:
Given the following question:
[tex]9+(\frac{1}{2})^4\times48[/tex]
In order to find this, answer we use order of operations and solve.
[tex]9+(\frac{1}{2})^4\times48[/tex]
[tex]\frac{1}{2} ^4=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}[/tex]
[tex]9+\frac{1}{16} \times48[/tex]
[tex]\frac{1}{16} \times48=\frac{1}{16}\times\frac{48}{1} =\frac{3}{1} =3[/tex]
[tex]9+3[/tex]
[tex]9+3=12[/tex]
[tex]=12[/tex]
Which means your answer is option A or "12."
Hope this helps.
Find the value of x for which PQ II RS
Answers
Answer:
x=3/2
Step-by-step explanation:
[tex]\cfrac{3x-1}{21} =\cfrac{2x-2}{12}[/tex]
[tex]36x-12=42x-21[/tex]
[tex]6x=9[/tex]
[tex]x=\cfrac{3}{2}[/tex]
Hope it helps! :)
Select the correct answer from the drop-down menu.
Answers
C and D
because root(4) = 2
C = 2 1
1 2
2 1
BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
A fire department's longest ladder is 110 feet long, and the safety regulation states
that they can use it for rescues up to 100 feet off the ground. What is the maximum
safe angle of elevation for the rescue ladder?
Also can you guys draw a picture of the right triangle and show work
Answers
See the attached picture for the answer:
Answer:
The maximum angle they can use the ladder is 65.38º
Step-by-step explanation:
Sine law allows sinA/a = sin B/b = sin C/c
Reference the drawing attached
sin 90/110m = sinB/100m
1/110m = sinB/100
multiply both sides by 100
100/110 = sinB
divide each side by 10
10/11 = sinB
find inverse sin of both sides
sin^-1(10/11) = B
65.38º = B
Solve for x.
−5x−8>22
Enter your answer in the boxes to correctly state the solution.
Answers
Answer:
x < -6
Step-by-step explanation:
-5x - 8 > 22
Add 8 to both sides: -5x > 30
Divide both sides by 5: -x > 6
Divide both sides by -1 (reverse sign): x < -6
Answer:
x < -6
Step-by-step explanation:
First we want to move all terms not containing x to the right side
-5x > 22 + 8
-5x > 30
Then we want to divide
-5x/5 < 30/-5
30/-5
x < - 6
100 points, put nonsense, get reported. Susan wants to build a floor to put at the bottom of her tree house. She made the scale drawing below using a scale of 2.5 in = 3 ft. Enter the length Susan must use for the floor.
Answers
Divide the length of the scale drawing by the scale (2.5) then multiply that by the scale feet (3)
11 inches / 2.5 = 4.4
4.4 x 3 = 13.2 feet
Answer: 13.2 feet
Total 2.5in pairs
[tex]\\ \tt\hookrightarrow \dfrac{11}{2.5}[/tex]
[tex]\\ \tt\hookrightarrow 4.4[/tex]
Now it is equal to 3ftSo length=4.4(3)=13.2ft
An infinitely large table is covered by circular disk of equal radii. Find the maximum proportion of the table that is covered.
Answers
Answer:
see below
Step-by-step explanation:
HELP ME ASAP
Question is below!!
Answers
Answer:
E
Step-by-step explanation:
because its going up by 1's and so it would be 5x6/2 =15