Answer:
5
Step-by-step explanation:
5 |35 | (5 is the divisor and 35 is the dividend)
= 7|
For 25;
5 |25|
=5
35 = 5 * 7
25 = 5 * 5
Now, common factor =5
If (2x+3y)∝(x+5y) or x∝y, then which of the following is true?
a. x/y = (5k-3/2-k) c. x = y(5k-3/2-k)
b. x:y = (5k-3):2-k d. all are correct
All the given options are correct
How to determine which of the equation is true?The variation expression is given as
(2x + 3y) ∝ (x + 5y)
Rewrite as an equation
So, we have
(2x + 3y) = k(x + 5y)
Remove the brackets
So, we have
2x + 3y = kx + 5ky
Collect the like terms
So, we have
kx - 2x = 3y - 5ky
This gives
x(k - 2) = y(3 - 5k)
Divide by both sides by y(k - 2)
x/y = (5k - 3)/(2 - k) --- option (a)
Multiply both sides by y
x = y(5k - 3)/(2 - k) --- option (b)
Express x/y = (5k - 3)/(2 - k) as ratio
x : y = (5k - 3) : (2 - k) --- option (c)
Hence, all the given options are correct
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Turn these into ratios, what is the simplest form?
Answer:
1. [tex] \frac{39}{59} = 39:59[/tex]
2. [tex]\frac{52}{120} = 13:30[/tex]
The above should be what you're looking for68=3(6r-1)-7(1-3r) please help i need directions how not just an answer
Answer:
r=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
68=3(6r−1)−7(1−3r)
68=(3)(6r)+(3)(−1)+(−7)(1)+(−7)(−3r)(Distribute)
68=18r+−3+−7+21r
68=(18r+21r)+(−3+−7)(Combine Like Terms)
68=39r+−10
68=39r−10
Step 2: Flip the equation.
39r−10=68
Step 3: Add 10 to both sides.
39r−10+10=68+10
39r=78
Step 4: Divide both sides by 39.
39r/39=78/39
r=2
i have four identical oranges. how many ways are there for me to divide these oranges into at most three groups? (by definition, a group must have at least one orange.)
Answer:
put 1 orange in each group and then cut the last in thirds and each group will have 1 and 1/3 oranges
Step-by-step explanation:
On a snow day, Jada created two snowmen in her yard. Snowman A was built to a height of 51 inches and Snowman B was built to a height of 36 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decreased by 6 inches per hour and Snowman B's height decreased by 3 inches per hour. Let AA represent the height of Snowman A tt hours after sunrise and let BB represent the height of Snowman B tt hours after sunrise. Graph each function to determine the number of hours after sunrise when both snowmen have an equal height.
From the graph of the linear functions, we have that both snowman's will have the same height of 21 inches after 5 hours.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The initial height is the intercept.The melting rate, as a negative, is the slope.Hence the functions are given as follows:
A(t) = 51 - 6t.B(t) = 36 - 3t.The functions are graphed at the end of the answer, with A(t) in red and B(t) in blue, and they intersect at (5,21), meaning that both snowman's will have the same height of 21 inches after 5 hours.
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the length of a new rectangular playing field is yards longer than the width. if the perimeter of the rectangular playing field is yards, what are its dimensions?
The width is 53 yards and the length is 108 yards.
What is the perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter. There are several practical applications for calculating the perimeter.To find the dimensions:
First, we'll turn the information we have into an equation, where x is our unknown dimension.For this problem, it would be preferable if x equaled width.Let's write the equation down:X is the width, 2x + 2 is the length, and we multiply both by two because the field has two sides. Because the perimeter is 322, it will all add up to 322.2 × x + 2(2x +2) = 322Now, solve as follows:
2 × x + 2(2x + 2) = 3222x + 4x + 4 = 3226x + 4 = 3226x = 318x = 318 ÷ 6x = 53The width measures 53 yards.
To calculate the length, multiply 53 by two and add two.
53 × 2 + 2 = 106 + 2 = 108 yardsTherefore, the width is 53 yards and the length is 108 yards.
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The correct question is given below:
The length of a new rectangular playing field is 2 yards longer then double the width. If the perimeter of the rectangular playing field is 322 yards, what are its dimensions?
The table below shows that the number of miles driven by Cooper is directly proportional to the number of gallons he used.
\text{Gallons Used}Gallons Used \text{Miles Driven}Miles Driven
3333 663.3663.3
4444 884.4884.4
4646 924.6924.6
How many gallons of gas would he need to travel 874.35874.35 miles?
Number of gallons of gas would need to travel 874.35 miles 174.034
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given:
Gallons Used Miles Driven
3333 663.3
4444 884.4
4646 924.6
From table we can write
3333/663.3 = 5.024
4444/884.4= 5.024
4646/ 924.6 = 5.024
So, number of gallons of gas would need to travel 874.35 miles
=874.35/5.024
=174.034
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In 2005 tokyo had an estimated population of 34,450,000 people while mexico city had an estimated population of 18,066,000 people. about how many more people resided in tokyo?
16,384,000 more people resided in Tokyo
Tokyo population = 34,450,000
Mexico Population = 18,066,000
To find how many more people resided in Tokyo, we subtract =
34,450,000 - 18,066,000 = 16,384,000
What is a good budget for an apartment?
One popular rule of thumb is the 30% rule, which says to spend around 30% of your gross income on rent. So if you earn $2,800 per month before taxes, you should spend about $840 per month on rent.
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Is it fine if I cancel out the minus sign from both the numerator and the denominator and change the plus-minus sign into a plus sign? If not, pls tell me why :D (Be as detailed as u can :D)
Answer:
unfortunately no
Step-by-step explanation:
with ± (plus-minus) sign, you have to work out the two cases.Therefore there're two solutions for this question i.e
[tex]x = \dfrac{ \pm4i}{-2} \implies x _{1} = \dfrac{4i}{-2} \: \: \text{and} \: \: x _{2} = \dfrac{ - 4i}{-2}[/tex]
and this simplifies to [tex]x_1=-2i,x_2=2i[/tex]
g= 4a+4/ 5ca solve for A
The solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)
How to solve for in the equation?The equation is given as
g = 4a +4/5
Multiply through the equation by 5
So, we have
5 * (g = 4a +4/5)
Evaluate the products
So, we have
5g = 20a + 4
Subtract 4 from both sides of the equation
So, we have
20a = 5g - 4
Divide through the equation by 20
So, we have
a = 1/20(5g - 4)
Hence, the solution of the equation given as g = 4a +4/5 for a is a = 1/20(5g - 4)
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Jake eat 1 1/2 cups of almonds over a 6-days period. How many cups did he eat per day? Find the solution and what it means in the context of the problem.
Answer: 1/3
Step-by-step explanation:
It is
◄) Which lists contain only irrational
numbers? Select all that apply.
-11.8, -7.3, -9.7, -3, 61.4
√20
I
25
100
50,
21 3 1 2 1
22' 11' 9'
5' 17
I
35, 65 70
I
-
81,√36
I
144,
2/2,5/5,3/3, 6√6,7√7
(
Answer:
the 2 nd and 5 th box contain irrational number
Step-by-step explanation:
1 St and 3 Rd are clearly rational and 4 th can be converted into rational like root 25 is 5.
Write an integer expression using absolute value symbols to represent the verbal expression.
the opposite of the absolute value of eight
The absolute value of the given integer(i.e. -7) is 7
Absolute value:
The absolute value (or modulus) | x | of a real number x is its non-negative value regardless of its sign.
A number's absolute value can be assumed as its distance from the origin along the real number line. Furthermore, the distance between two real numbers is the absolute value of their difference.
Let's assume the given integer=-7 and need to find the absolute value of the given integer.
Then the absolute value of the given integer(i.e. -7) is 7
Therefore, The absolute value of the given integer(i.e. -7) is 7
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suppose you need of grade 70 tow chain, which has a diameter of and weighs , to tow a car. how would you calculate the mass of this much chain? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
The mass of 7m chain = 7 x 2.16 kg = 15.12 kg
It says that 7m of grade 70 tow chain which has a diameter of 3/8'' is required to tow a car.
So length of the chain = 7m
Now given that the weight of the chain = 2.16kg/m
That is weight of 1m of chain = 2.16 kg = mass of 1m of chain
Here, weight corresponds to the mass itself, since both has the same unit 'kilograms(kg)'.
So to find the mass of 7m chain, we need to multiply mass of 1m chain to the length of the chain.
Thus, the mass of 7m chain = 7 x 2.16 kg = 15.12 kg
The question is incomplete. Find the complete question here:
Suppose you need 7m of grade 70 tow chain, which has a diameter of 3/8'' and weighs 2.16kg/m, to tow a car. How would you calculate the mass of this much chain? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
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Triangle ABC is reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ. Which statement is true?
The two triangles are congruent because each transformation is a rigid motion. Therefore, option B is the correct answer.
Given that, triangle ABC is reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ.
What are reflection, rotation and translation?Reflection is flipping an object across a line without changing its size or shape. Rotation is rotating an object about a fixed point without changing its size or shape. The translation is sliding a figure in any direction without changing its size, shape or orientation.
We know that reflection, rotation and translation in the vertical or horizontal direction are rigid motions.
Rigid motions do not change the size of a polygon so that the two polygons are congruent.
The two triangles are congruent because each transformation is a rigid motion. Therefore, option B is the correct answer.
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como se puede usar la multiplicacion por 1 para encontrar fracciones equivalentes
Answer:
pamachino ala iscola iyo kapito binisimo bambena ilina
The function f(x)=x^2 times the graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for g(x)?
The function rule for g(x) is (x₊6)² ₋ 5. According to the given data we apply the translations onto the graph and from the graph we determine the function of g(x).
Given, the function of f(x) = x²
The base graph is moved up or down in the y-axis direction when a graph is vertically translated. Each point on a graph is moved k units up the graph to translate it vertically. Shifting the f (x) k units vertically will allow you to sketch the equation g (x) = f (x) + k.
The graph of g(x) is f(x) translated to 6 units left and down 5 unit.
Draw the translations onto the graph. In the given graph provided, the yellow curve indicates the function g(x).
therefore g(x) = (x₊6)² ₋ 5 is the function from the graph.
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Describe the solution to the system of equations graphed below.
3x+y=-6
9x+3y=-18
27
OA The system has the unique solution (3, 4)
OB. The system has infinitely many solutions of the form y=-3x-6 where x is any real number
OC. The system has no solution
OD. The system has the unique solution (3, 18)
Answer:
A.
The system has infinitely many solutions of the form y = -3x - 6 where x is any real number.
Step-by-step explanation:
I WILL GIVE BRAINIEST TO WHO ANSWERS RIGHT AND MORE POINTS
Answer:
x = 22 y = 113
Step-by-step explanation:
3x-15 = 2x+7
-2x -2x
x-15 = 7
+15 +15
x = 22
180-51 = 129
y+16 = 129
-16 -16
y = 113
Answer:
x = 22
y = 113
Step-by-step explanation:
The angles marked as (2x+7) and (3x-15) are vertical angles, and therefore are equal to each other.
2x + 7 = 3x - 15 simplifying:
7 = x - 15
22 = x
Angles marked as (3x-15) and (y+16) form a linear pair and are therefore supplimetery. Now that we know the value of x, we can set up the following equation.
3(22) - 15 + y + 16 = 180 simplifying:
66 - 15 + y + 16 = 180
66 + y + 16 = 195
y = 113
Please help my I ready is due today !!!
Answer:
calculate the number of terms of the series 5;8;11;...173
PLEASE HELP WITH THIS MATH
Answer:
Without being able to measure it, it looks like the first on is 45 degrees and the second one is 90 degrees.
Step-by-step explanation:
Do you have a protractor that you can measure them with?
City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 35 times in traveling the length of the street.
How long is the street?
Use the value 3.14 for 1. Round your answer to the nearest tenth. Do not round any Intermediate steps.
351.7 ft is the length of the street
City workers are using a snowplow to clear a street. A tire on the snowplow is 3.2 ft in diameter and has to turn 35 times in traveling the length of the street.
The total distance of the street is the number of times the wheel turns multiplied by its circumference. Thus:
C = πD
L = nπD
L = 35 x 3.14 x 3.2
Use the value 3.14 for pi. Round your answer to the nearest tenth. Do not round any Intermediate steps
L = 351.7 ft
Hence 351.7 ft is the length of the street
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Find the value of x.
Answer:that a accute angle
Step-by-step explanation:
how many license plates consist of letters followed by digits, if one of the digits must be odd and the other must be even?
There are six slots; first three for letters and the next three for numerals. Each of the slots for letters can be filled in 26 ways; and, each of the slots for numerals can be filled in 9 ways.
Therefore, possible number of license plates = (26 * 26 * 26 * 9 * 9 * 9) = (26^3) * (9^3) = 17576 * 729 = 12812904.
In order to calculate the probability of a compound event A, we use a technique we refer to as "The Slot Method," in which we first calculate the total number of outcomes, n(S), and the total number of successful outcomes, n(A), and then use slots for each of the independent or dependent events that make up the compound event.
In every game you play at a casino, the odds are stacked against you. The chances of winning the top prize when using the maximum coin play range from one in 5,000 to one in approximately 34 million, making slot machine odds some of the worst.
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if a line passed through (0,0),(1,8),(3,24) and (x,44) what is x?
Answer: x=5.5
Step-by-step explanation:
First you need to find the slope using the formula [tex]\frac{y2-y1}{x2-x1}[/tex]. Thankfully, we have (0, 0) and (1, 8) as points, which makes it easy to find that the slope is 8.
Once we have the slope, we divide 44 by 8 to get 5.5
A metade dos objetos de uma caixa mais a terça parte desses objetos é igual a 25. Quantos objetos há na caixa?
Answer:
Explicação passo-a-passo:
Podemos atribuir a incógnita x ao número de objetos que há na caixa. Assim, teremos as seguintes relações:
Metade dos objetos da caixa = 1/2x
Terça parte dos objetos da caixa = 1/3x
Portanto, o número de objetos que há na caixa será dado resolvendo a equação:
1/2x + 1/3x = 25
3/6x + 2/6x = 25
5/6x = 25
x = 25/(5/6)
x = 25 . (6/5)
x = 150/5
x = 30
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ytzinhawww
ytzinhawww
há 5 minutos
Matemática
Ensino fundamental (básico)
1.Na portaria de um prédio chegaram, certo dia, 65 cartas. Desse total,1/5 foi entregue no 1°andar. Qual é o número de cartas distribuídas nos outros andares? (tem que fazer a conta)
a. 20
b. 35
C. 48
d. 52
2.foram entrevistados 420 candidatos a determinada vaga de um emprego. sabe-se que 5/7 desse número de candidatos foram rejeitados. Então, foram aceitos:
a. 300 candidatos
b. 210 candidatos
C. 380 candidatos
d. 120 candidatos
3.a figura está dividida em cinco partes iguais. a parte pintada representa:
⬜⬜⬜⬜
a. 10%
b. 12%
C. 20%
d. 25%
4.numa caixa 100 bolas, 45 são vermelhas, 20 são azuis, e o restantes são amarelas. em relação ao total a porcentagem de bolas amarelas é:
a. 55/100
b. 25/100
c. 45/100
d. 35/100
5.um dia tem 24 horas, uma hora tem 60 minutos e 1 minuto tem 60 segundos. a fração da hora que corresponde a 35 minutos é:
a. 7/4
b. 7/12
C.35/24
d. 60/35
6.dois terços da população de um município correspondem a 36000 habitantes. pode-se afirmar que esse município tem:
a) 18000 habitantes
b) 36000 habitantes
C) 48000 habitantes
d) 54000 habitantes
7.uma plantação foi feita de modo a ocupar 2/5
da terça parte da área de um sítio, como mostra a figura em relação à área total do sítio, a fraçao que representa a área ocupa por essa plantação é:
⬜⬜
⬜⬜
⬜⬜
⬜⬜
⬜⬜
bem por favor alguém me ajude preciso até amanhã pq é muito importante e se for me ajuda n esquece a conta pq a prof é bem exigente.tchau
please find x to this. 5/9x -11 = -51
5/9x -11 = -51
5/9x = 11 - 51
5/9x = -40
5x = -360
x = -72
separate the coefficient from the variable in each expression and write the variable with a negative exponent if it was originally in the denominator.
The result of the given expression is-
[tex]2^3\left(x-\frac{3}{2}\right)^6[/tex]
What is exponents?The amount of times a quantity is multiplied is referred to as its exponent. Power is defined as a number multiplied by itself a certain number of times.
The number that a number is raised in order to define its power as an entire expression is known as its exponent.
Now, consider the following exponent rule;
[tex](x y)^m=x^m y^n, x^{m+n}=x^m x^n, \text { and } \frac{1}{x^n}=x^{-n}[/tex]
Now, according to the question, the given expression is;
[tex]\frac{(2 x-3)^6}{8}[/tex]
Taking 2 common from the numerator;
[tex]\frac{\left[2\left(x-\frac{3}{2}\right)\right]^6}{8}[/tex]
Now, apply the given exponent rule [tex](a b)^m=a^m b^m[/tex] in the above equation.
[tex]\frac{\left[2\left(x-\frac{3}{2}\right)\right]^6}{8}=\frac{2^6\left(x-\frac{3}{2}\right)^6}{8}[/tex]
Apply [tex]a^{m+n}=a^m a^n[/tex] in the above result.
[tex]\begin{aligned}\frac{2^6\left(x-\frac{3}{2}\right)^6}{8} &=\frac{2^{(3+3)}\left(x-\frac{3}{2}\right)^6}{8} \\&=\frac{2^3 \cdot 2^3\left(x-\frac{3}{2}\right)^6}{8} \\&=\frac{8 \cdot 2^3\left(x-\frac{3}{2}\right)^6}{8} \\&=2^3\left(x-\frac{3}{2}\right)^6\end{aligned}[/tex]
Therefore, the simplified form of the given expression is [tex]2^3\left(x-\frac{3}{2}\right)^6[/tex].
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-
The complete question is-
Separate the coefficient from the variable in each expression and write the variable with a negative exponent if it was originally in the denominator.
[tex]\frac{(2 x-3)^6}{8}[/tex]
Write the slope intercept form of the equation for each line.
Answer: y=-4/5x-1.5
Step-by-step explanation: Both values are negative because your line is angled downwards from left to right and your y-intercept is below the x-intercept line.
Your 'b' or y-int is a little wonky, but I'm confident with what answer I'm handing to you.
use the drop downs to determine which symbols would complete the inequality for the domain. −4 (a) x (b) 4 (a) (b) ✔ less than
The gathering of x-values determines domain the symbols so one can entire the inequality for the desired area.
All x-values for which the characteristic f(x) exists or is described are in the area of an inequality.The complete inequality may be summarised as follows:-4 ≤ x ≤ 4, (this feature consists of each -four and four within the set of x values)-four < x < 4, (this selection excludes -4 and 4 in the set of x values)-4 ≤ x < 4, (this selection consists of -4 and excludes four inside the set of x values)-four < x ≤ 4, (this selection excludes -4 and consists of four within the set of x values)As a result, the gathering of x-values determines the image that will entire the inequality for the specified domain.To learn more about domain, visit :
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