The simplest form of the ratio 35:30 is 7/6.
Given, the ratio is 35:30
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organizations is shown by the part-to-part ratio.
We can refer to a fraction as being in its simplest form when it cannot be further spelled out or reduced. Divide the denominator and numerator by their respective least common multiples to reduce a fraction.
divide the numbers by 5
35/30
= 7/6
therefore the simplest fraction is 7/6.
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which expression is equivalent to -40+(-20)+(-60)?
(A. 40+20+60
(B. -40-(20-60)
(C. -20+(-40)+(-60)
(D. -(40-20)+(-60)
Answer:
c
Step-by-step explanation:
estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the u.s., per year. suppose that there are about 3 × 108 people in the united states, approximately half of the them have cars, each car drives an average of 12,000 mi per year, and consumes a gallon of gasoline for each 20 mi .
The total amount of gallons of gasoline expended by all the automobile drivers in the United States is 9 × (10)10 gallons. It is obtained using the basic concepts of word problems based on multiplication and division.
What are word problems?
Word problems are defined as mathematical problems that are completely expressed in the notation of words or language rather than numbers. Word problems can simply be based on addition, subtraction, multiplication, division, percentage, etc.
Calculation of the total amount of gasoline consumed in the US in units of gallon
According to the word problem, the total number of people in the US is 3 × (10)8
Number of people having cars = ½ × 3 × (10)8
= 1.5 × (10)8
Each car drives an average of 12000 miles per hour, so the total distance travelled by one car is 12000 miles
The distance covered by all the cars = 1.5 × (10)8 × 12000
= 1.8 × (10)12 miles
20 miles is covered in 1 gallon of gasoline
1 mile is covered in 1/20 gallon of gasoline
So, 1.8 × (10)12 miles will be covered in 1.8 × (10)12 × (1/20)
= 9 × (10)10 gallons
Hence, the gallons of gasoline required is 9 × (10)10 gallons.
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Joshua purchased a game card for the arcade for a total of $18. he played two basketball hoop games for $3.25 each and four rounds of air hockey for $1.75 each. how much did he have left on the game card?
Joshua has $4.5 left in the game card.
How to calculate the amount left in the game card ?Joshua purchased a game card for $18
He played two basketball games for $3.25 each
= 2 × 3.25
= 6.5
He played four rounds of air hockey for $1.75
= 1.75 × 4
= 7
The first step is to calculate the total money spent on games
= 7 + 6.5
= 13.5
The amount left in the game card can be calculated as follows
= 18 - 13.5
= 4.5
Hence $4.5 is left in the game card.
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Please tell me what order these go in
The missing reasons in the prof are:
1. Given
2. Vertical angles are congruent
3. Substitution
4. Subtraction
5. Addition
6. Division
What is the Vertical Angles Theorem?According to the vertical angles theorem, if two angles are vertical angles, then they would be congruent to each other.
The following are the missing reasons in the given proof;
1. <PAR and <TAS are vertical angles [given]
2. <PAR ≅ <TAS [vertical angles are congruent]
3. 3x + 14 = 50 - x [substitution]
4. 3x = 36 - x [subtraction]
5. 4x = 36 [addition]
6. x = 9 [division]
Therefore, the missing reasons in the prof are:
1. Given
2. Vertical angles are congruent
3. Substitution
4. Subtraction
5. Addition
6. Division
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Molli purchased 9 apples for $3.96. While looking at her receipt, Molli divided $3.96 by 9.
Why might Molli perform this calculation?
Answer:
To find out how much each apple cost
Step-by-step explanation:
If Molli bought 9 apples for a total of $3.96, she could divide her total by 9 to figure out how much each individual apple cost.
Select all of the terms that are "like."
x 2
2x 2 y
-xy
xy
xy 2
2xy
Answer:
x2,2x2y,xy2,-xy,xy,2xy
Find the 8th term of the arithmetic sequence 3x+13x+1, -2x+7−2x+7, -7x+13,
pls help me I will give brainlist
Answer: =38x+16.
a_{\color{red}{8}}=(\color{blue}{3x-5}) + (\color{red}{8}-1)(\color{green}{5x+3})
a
8
=(3x−5)+(8−1)(5x+3)
a_{8}=3x-5+ 7(5x+3)
a
8
=3x−5+7(5x+3)
a_{8}=3x-5+35x+21
a
8
=3x−5+35x+21
8. Karen earned $81.00 at her job last week. Kimberly earned 33% as much money as Karen. How much money did Kimberly earn?
Answer:
$26.73
Step-by-step explanation:
Karen: $81
Kimberly: 33% of $81
33% of $81 = 0.33 × $81 = $26.73
What am I supposed to do here? I’m really confused. May i please get the answers for the students.
Answer: Answe about what ??
Step-by-step explanation:
you didnt put in a any question
5) {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)}
does this represent a function or no?
These set of figures: {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} does not represent a function. Instead, it represents a set.
We are supposed to answer whether {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} represents a function or not.
The answer is NO. This is not a representation of a function instead it is a representation of set.
Function: In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). For example [tex]F(x) = 2x-4[/tex] and at [tex]x=0[/tex] the value of function will be zero.Set: In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form.Typically, sets are denoted by curly brackets; for instance, A = {1, 2, 3, 4} is a set.
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..., -39, ______, ______, -45,....
Find the missing term
Evaluate |a| - |b|, given a = 5, b = -3, and c = -2.
1. 8
2. 7
3. 3
4. 2
2×8 im in elementary dont judges guys its not nice
Answer:
Step-by-step explanation:
8 + 8 = 16, so 8 x 2 = 16. :)
Answer:
16
Step-by-step explanation:
Add 8 + 8 = 16
This is 8 two times or 8 * 2
1 Latisha and Maisha are twins. They have a brother who is eleven years younger than
them and an older sister who is four years older. The sum of the ages of all four siblings
is 73. Find Latisha's age.
Sum = 73
Answer: 20 years old
Step-by-step explanation:
L=Latisha's age. M=Maisha's age.
O=older sister's age. Y=Younger Brother's age
L=M since both Latisha and Maisha are twins.
Y=L-11
O=L+4
L+M+O+Y=73
L+L+L+4+L-11=73
L+L+L+L+4-11=73
4L-7=73
4L=80
L=20 years old
Please help due today
Answer:
Bars Express is less expensive and will save you one cent on shipping costs for 5 candy bars.
Step-by-step explanation:
Plug in 5 into the x values of both equations and see how much they both cost.
Uber Bars -> 3 + 1.59(5) = 10.95
Bars Express -> 0.99 + 1.99(5) = 10.94
7(3 + x) - 4(x + 1)
distributive property
Answer: 17+3x
Step-by-step explanation:
7(3 + x) - 4(x + 1)=
21+7*x-4x+(-4*1)= ==> Distribution Property
21+7x-4x+(-4)=
21+3x-4=
21-4+3x=17+3x
Solve the given differential equation by separation of variables dn/dt n = nte^t 8
The answer of the given question will be - [tex]ln |n| + c = e^{8+t} t - e^{8+t} - t + c[/tex]
What is integration?In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.
We are given the equation as -
[tex]\int\limits^_ {}[/tex]dn/dt + n = [tex]\int\limits^_ {}[/tex][tex]nte^{t+8}[/tex]
⇒ dn/dt = [tex]nte^{t+8} - n[/tex]
[tex]dn/dt = n(te^{t+8} - 1)\\dn/n = (te^{t+8} - 1)dt[/tex]
Integrating on both sides,
⇒ ln |n| + c =[tex]\int\limits^[/tex][tex]nte^{t+8} - n[/tex]
⇒ ln |n| + c = [tex]e^{8+t} t - e^{8+t} - t + c[/tex]
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Find the (a) mean, (b) median, (c) mode.
Listed below are the highest amounts of net worth (in millions
of dollars) of all celebrities. What do the results tell us about
the population of all celebrities? Based on the nature of the
amounts, what can be inferred about their precision?
240 190 175 155 150 150 130 130 130 130
The mean is $ type your answer...
million. The median is $
type your answer...
million and the mode is $
type your answer...
million.
Answer: Mean = 158 - Median = 158 - Mode = 130
Answer: (a) mean is $158 (b) median is $150 (c) mode is $130
Step-by-step explanation:
Arrange the series:
130 130 130 130 150 150 155 175 190 240
[tex]\displaystyle\\Mean=\frac{130*4+150+2+155+175+190+240}{10} \\\\Mean=\frac{1580}{10} \\\\Mean=158\\\\Median=\frac{150+150}{2} \\\\Median=\frac{300}{2} \\\\Median=150\\\\Mode=130[/tex]
Jane got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 14 cents per yard. If after that purchase there was $27.62 left on the card, how many yards of ribbon did Jane buy?
Answer: 17 yards
Step-by-step explanation:
well first you do $30 - $27.62 and you get $2.38 then you take the decimal out then divide it like this 238/14 you get 17 and that is how many yards you have !!! Hope that helps!!
following the finite difference process we used in lecture, use a second order difference scheme to approximate x′′(t) and rewrite this initial value problem as a linear system of equations ax
Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.
What is a difference equation?The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.
The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.
Calculations:
syms y(t) z(t)
eqns = [diff(y,t)==z, diff(z,t)==-y];
[ySol(t),zSol(t)] = dsolve(eqns)
ySol(t) = C
cos(t)+C
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The cost per ounce of a drink, c, in cents, varies inversely as the number of ounces, n. Six ounces of the drink costs 60 cents
per ounce. Find the equation that represents this relationship.
Note: Enter your answer in cents
C=
Answer:9
Step-by-step explanation:
Answer: c= 360/n
Step-by-step explanation:
c=k/n, for c=60 and n=6 so equation would be 360/n
Whoever can answer for me i’ll give brainliest
Answer:
It's 25
Step-by-step explanation:
It's asking for distance between the two numbers
Answer:25
Step-by-step explanation:
Pls HELP ME
Solve each of the following equations for the given values. Show ALL solution steps.
1. A = bh for h, if b = 4 and A = 28
2. A = πr2 for A, if r = 5.
3. A = bh for h if b = 15 and A = 45. h=?
4. A = bh for h if b = 10 and A = 80. h=?
5.P = 2l + 2w for l if w = 4 and P = 18. l=?
Answer:
1.h=7; 2. A=78.5; 3. h=3; 4. h=8; 5. I=5.
Step-by-step explanation:
1. A = bh for h, if b = 4 and A = 28
So 28=4h then we divided both side by 4 to get the value of h , h=7.
2. A = πr2 for A, if r = 5.
So A=3.14×25=78.5.
3. A = bh for h if b = 15 and A = 45. h=?
So 45=15h then we divided both side by 15 to get the value of h , h=3.
4. A = bh for h if b = 10 and A = 80. h=?
So 80=10h then we divided both side by 10 to get the value of h , h=8.
5.P = 2l + 2w for l if w = 4 and P = 18. l=?
So 18=2I + 2(4) =18-8=2I 10=2l then to get the value of I divided both side by 2, I=5.
Find the perimeter of a rectangle whose width is 16 and whose length is 12 square feet
Answer:
56 square feet
Step-by-step explanation:
a rectangle has 4 sides, and two of each are the same;
12 is the length
16 is the width
12 + 12 + 16 + 16 = 56
final answer is 56 square feet
hope this helped xx
3 QUESTIONS LEFT!! WILL GIVE BRAINLIEST TO PROPER ANSWER ONLY, NO SPAM
options for second drop down menu: P, K
Answer: Easy, T = VP/K
Step-by-step explanation:
1. Since you need to multiply P, making it VP = KT
2. Then, you need to divide the K, making it VP/K = T
3. So the first one is VP, the second one is K
What is 943,158,670.3491 rounded to the ten millions? PLEASE ANSWER ASAP!!
Answer:
I believe the answer is 943,158,670.349
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
HELP PLS.
A line segment has an endpoint at (4, 5). If the
midpoint of the line segment is (-1,4), what is the
location of the line segment's other endpoint?
=========================================================
Explanation:
A = (4,5) is one endpoint
B = (-1, 4) is the midpoint
C = (x,y) is the other endpoint
For now, focus on the x coordinates of each point
A and C have x coordinates of 4 and x respectively
Add them up and divide in half. Set this equal to the x coordinate of B
(4+x)/2 = -1
4+x = 2*(-1)
4+x = -2
x = -2-4
x = -6 which is the x coordinate of point C
Repeat this same idea for the y coordinates
(5+y)/2 = 4
5+y = 2*4
5+y = 8
y = 8-5
y = 3 which is the y coordinate of point C
Therefore, point C is located at (-6, 3)
--------------------------
To verify the answer, you can use the distance formula to calculate the following segment lengths: AB and BC
You should find that AB = BC. This is because the midpoint splits segment AC into two smaller equal pieces.
Another way to verify the answer is to use the midpoint formula on points A(4,5) and C(-6,3). The result of using this formula should be B(-1,4) mentioned earlier.
What is the domain of f(x)=2?
Answer:
All real numbers
Step-by-step explanation:
Domain means the valid x values. If you graph this it is a horizontal line extending to negative infinity and positive infinity where y = 2.
FIRST ANSWER GETS BRAINLIEST
Answer:
The answer is 22 2/3
Step-by-step explanation:
If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
The true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
How to determine the valueGiven the function;
f(a) = 3a – a2
For f(-5), we substitute the value of a as -5, we have
f(-5) = 3(-5) - (-5)²
f(-5) = -15 - 25
f(-5) = -40
For f(4), we have
f(4) = 3(4) = 3(16)
f(4) = 12 - 48
f(4) = -36
For f(-1), we have
f(-1) = 3(-1) - (-1)²
f(-1) = -3 - 1
f(-1) = -4
For f(0), we have
f(0) = 3(0) -(0)
f(0) = 0
For f(3), we have
f(3) = 3(3) - 3²
f(3) = 0
Thus, the true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
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