• x represents the weight of each triangle.
• y represents the weight of each square.
Jamir changed the number of shapes on each side of Hanger A to make Hanger B.
Write an EQUATION that could represent a balanced Hanger B.
Press "Try It" to see if Hanger B is balanced.

Answer:

7/12

Step-by-step explanation:

i used lowest common denomator

Answer:

answer is 7/12

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

35 [tex]\frac{3}{4}[/tex] ≈ 36 ( to the nearest whole number

17 [tex]\frac{5}{6}[/tex] ≈ 18 ( to the nearest whole number )

then 36 in × 18 in

The expression log₃4 + log₃y + log₃8x can be written as [tex]log_{3}32xy[/tex] in  a single logarithm form.

Given that the expression is log₃4 + log₃y + log₃8 x.

We are told to write the expression as a single logarithm.

Change of base theorem is basically used when we have to find the log values having different bases from 10 as we have tables which tell the log values with base 10. We know that [tex]log_{a}b[/tex]=[tex]log_{x}b/log_{x}a[/tex] and

log mn=log m+log n.

The expression is log₃4 + log₃y + log₃8 x.

log₃4 + log₃y + log₃8x=[tex]log_{3}[/tex] (4*y)+  [tex]log_{3}[/tex] 8x

=[tex]log_{3}[/tex] (4*y*8x)

=[tex]log_{3}[/tex] 32xy

Hence the expression log₃4 + log₃y + log₃8x can be written as [tex]log_{3}32xy[/tex] in  a single logarithm form.

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We know that 6, 8, 10 and 5, 12, 13 are Pythagorean triples.

The formula to see if a set of three numbers is a pythagorean triple is:

[tex]a^{2} +b^{2} =c^{2}[/tex]

For the first one, we can do

6^2 + 8^2 = 10^2 and see if it is true.

36 + 64 = 100, so this works.

The next one, we can do

5^2 + 12^2 = 13^2

25 + 144 = 169

This also works.

So in conclusion, using the formula, we can prove that they are both Pythagorean triples.

I hope this is clear to you, have a great day! :)

a = y² - x²

b = 2xy

c = x² + y²

where x and y are positive integers y > x

→ In Pythagorean triple number set 6,8,10

→ In Pythagorean triple number set 5,12,13

Answer:

0.05 metrs = 5 cetimeters

Step-by-step explanation:

1 meter = 100 centimeters

0.05 meters = 0.05 * 100 = 5 centimeters

Answer:

Rebecca originally had 240 dollars.

Step-by-step explanation:

Let's set B as Rebecca's money and C as Rachel's.

Rebecca has twice as much money as Rachel

B = 2C

If Rebecca gives Rachel $60, then the two of them will have the same amount of money

B - $60 = C + $60

let's combine the 2 by subtracting the second from the first

B - (B - $60) = 2C - (C + $60)

$60 = C - $60

$120 = C

so Rachel had 120 dollars.

Rebecca had twice as much, so 240 dollars.

If Rebecca gives $60 to Rachel, they have $180 each. Everything checks out.

the value of the given equation 5x +3=12 Round to the nearest ten-thousandth =   1.8000

In a given base, a round number is a number that ends with one or more "0s." So, 590 is more round than 592, but less round than 600. A round number is frequently interpreted in both technical and casual language to stand for a value or values close to the nominal value represented.

given:- 5x +3=12

simplifying:

5x +3=12

5x = 12 - 3

5x  = 9

x = 9/5

x = 1.8000

the value of the given equation 5x +3=12 Round to the nearest ten-thousandth =   1.8000

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Answer:

Step-by-step explanation:

90 degree

The simplified form of the expression [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex] is [tex]\frac{3x^{3}-x^{2} -7x-3 }{(x-2)}[/tex]

As per the question statement, we are provided with an expression  [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex].

We are supposed to simplify the above mentioned expression.

To solve this question, let us simplify the expression, part by part, i.e., first, let us consider the numerator part which is

[2x² + 3x³ - 3x² -3x -4x - 3].

Here, it is clearly visible that the numerator expression consists of terms having same same variable but with different coefficients, such as

[2x², -(3x²)] and [-(3x), -(4x)]. Therefore, we can perform the mentioned operations on the like terms and thus simplify our numerator.

[tex][2x^{2} +(-3x^{2} )]=(2x^{2} -3x^{2} )=-(x^{2})\\[/tex]

And, [tex][(-3x) + (-4x)]=-(3x+4x)=-x(3+4)=-(7x)[/tex].

Hence, [tex](2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=[+3x^{3}+(2x^{2} -3x^{2})-(3x+4x)-3]\\or, (2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=[+3x^{3}+(-x^{2} )-7x-3]\\or, (2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=(+3x^{3}-x^{2}-7x-3)\\[/tex]

And our denominator is (x - 2). Since, [2x² + 3x³ - 3x² -3x -4x - 3] does not equate to Zero for (x = 2), there (x - 2) is not a factor of the numerator, i.e., the numerator cannot be exactly divided by the denominator.

Therefore, the simplest form of our expression  [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex] is [tex]\frac{3x^{3}-x^{2} -7x-3 }{(x-2)}[/tex].

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Answer:

The answer to the given question is 6

Logarithmic scale: A measurement scale in which the position is marked using the logarithm of a value rather than the actual value.

A logarithmic equation includes a logarithm in the variable x.

An exponential equation is one in which the variable is represented by an exponent. A logarithmic equation is one in which the logarithm of a variable-containing expression is used.

For logarithmic equations, log b (x) = y is equivalent to b^y = x such that x > 0, b > 0 and b is not equal to 1.

In the given problem, b = 6, x = 6 and y = 1

b = 6

x = 6

y = 1

Substituting the values of b, x and y into the equation b^y = x;

6^(1) = 6

therefore, the value of the given equation log₆6=1 is 6

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Answer: f(x)=4

f(x)=√3x−4

f(x)=4x−5

Step-by-step explanation:

The ordering of the numbers will be 1.25, 1 3/8, ✓2, 1 3/5 and 1.875.

It should be noted that ✓2 = 1.414

It should be noted that 1 3/8 = 1.375

It should be noted that 1 3/5 = 1.6

The other numbers given are 1.25 and 1.875

Therefore, the ordering of the numbers will be 1.25, 1 3/8, ✓2, 1 3/5 and 1.875.

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Step-by-step explanation:

3x² - 16x + 2 = 0

ax² + bx + c = 0

a = 3 , b = -16 , c = 2

= p + q.(1 + p)

= p + q + p.q

= -b/a + c/a

= -(-16)/3 + 2/3

= (16 + 2)/3

= 18/3

= 6

The amount of markup on a single rose is $2.96

Profit = Selling Price – Cost Price.

We have,

We can consider the cost price as:

Bought amount = $12.96

We can consider the selling price as:

Selling amount = $48.48

Now,

Markup price can be considered as the profit:

Profit = Sellin price - Cost price

Profit = $48.48 - $12.96

Profit = $35.52

Since in a dozen we have 12 roses the markup price for each rose is:

= $35.52 / 12

= $2.96

Thus the amount of markup on a single rose is $2.96

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Answer:

The exact conversion rates between Liters and Gallons is as follows...

1 Liter = 0.264 Gallons

and

1 Gallon = 3.785 Liters

Answer:

true,true,false,false

Step-by-step explanation:

true it's the amount of decimal places

true: same with this true

false: if it was 10^5 then yes but it's not

false: there is one too many 10s

Answer:

Step-by-step explanation:

56.6 tons.

Based on the slope of the demand curve and the new price of iron ore, the new quantity demanded at the new price of $211 is 49.60 tons

The equation given will allow us to find the new quantity demanded:

y = Mx + c

y = new quantity demanded

m = slope of the demand curve

x = change in price of iron ore

c = y intercept

Solving for the new quantity demanded at the new price gives:

= -3.2 x (211 - 104) + 392

= -342.40 + 392

= 49.60 tons

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Answer:

base of 3 --> 3^4 (three to the fourth); base of 9 --> 9^2 (nine squared)

Step-by-step explanation:

3 x 3 = 9 x 3 = 27 x 3 = 81 = 3^4

You multiply 3 by itself 4 times.

9 x 9 = 81 = 9^2

You multiply 9 by itself 2 times.

The simplest form of the quotient √72x⁵y³z⁸/√3xy²z² is (B) 2x²z³√6y.

So,

Then,

Therefore, the simplest form of the quotient √72x⁵y³z⁸/√3xy²z² is (B) 2x²z³√6y.

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Answer:

inductive

Step-by-step explanation:

vbkugu stottlxd5xlhlhclxylyyldydpdyxyo

Answer:

i guess X=5 because 3+5=8?

Step-by-step explanation:

If the inverse of f exists, it is represented by f⁻¹ and exists only if f is a bijective function.

If x = -3 then (f ⁰ g⁻¹)(x) is 23.

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.

An inverse in mathematics is a function that serves to "undo" another function. That is, if f(x) produces y, then putting y into the inverse of f yields x. Invertible functions are those that have an inverse, which is denoted by f1.

Let the two functions be f(x) = 3x² - 4 and g(x) = x - 2

(g⁻¹)(x) = 1 - 2

(g⁻¹)(x) = -1

substitute (g⁻¹)(x) value in (f ⁰ g⁻¹)(x)

(f ⁰ g⁻¹)(x) = (f ⁰ ) (-1)

then f(x) equation is 3 x² - 4 substitute -1 in x

f(-1) = 3(-1)² - 4

f(-1) = -1

Now when x = -3 the (f ⁰ g⁻¹)(x) value is

f(-3) = 3(-3)² - 4

f(-3) = 23

Therefore, the value of (f ⁰ g⁻¹)(x) for x = -3 is 23.

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Answer:

15.5

Step-by-step explanation:

We are trying to find out:

38.7% of what number is 6?

38.7% as a decimal is .387

.387x = 6  Divide both sides by .387

x = 15.503875969

Round 15.5

If something is priced at 30$,then 70% off would make it 9.00$!

After expanding logarithm equation is : [tex]\frac{3log_{10}(m)p^2}{n^4}[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   [tex]log_ax=N[/tex]

where, a is the base of function or equation

           x define expression

Mathematically, if  [tex]a^N=x[/tex]  is an exponential function then, this can be converted to logarithmic function as  [tex]log_ax=N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression can be written as,

[tex]\frac{log_{10} m^3}{n^4 \\ p^-2} \\[/tex]

apply formula log a^x = x log a

[tex]= > \frac{3 log_{10} (m)}{\frac{n^4}{p^2} }\\ \\= > \frac{3 log_{10} (m) p^2}{{n^4} }[/tex]

Thus, after expanding the logarithm equation is :  [tex]\frac{3log_{10}(m)p^2}{n^4}[/tex]

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Yes the students have a party is mrs. Morton reward them 313131 additional times.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most of the time, size comparisons between two numbers on the number line are to be made.  Different types of inequalities are represented by a variety of notations, including: The symbol a b indicates that an is smaller than b. When a > b is used, it indicates that an is bigger than b. A is not equivalent to b in any scenario. Since a is apparently less than or solely greater than b, these relationships are known as stringent inequalities. Equivalence is not considered.

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Answer: 53.2 meters

Step-by-step explanation:

Since 15 seconds is 1/4 of 1 minute, multiply 13.3 by 4 to get 53.2.

Answer:

1300

Step-by-step explanation:

455 divided by 35%

= 455 x 100/35

= 455 x 20/7

= 65 x 20

= 1300

The total number of people attending the game is 2100.

Given that, at a baseball game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of people attending the game be x.

Given, 735 people attending the game supported the home team.

Now, 35% of x=735

⇒ 35/100 × x=735

⇒ 35x=73500

⇒ x=73500/35

⇒ x=2100

Therefore, the total number of people attending the game is 2100.

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The correct interpretation for the given expression is the sum of x and y raised to the power of half n

The expression is given as

(x + y)^n/2

To interpret the expression, we start by evaluating the expression in the bracket and the exponent

So, we have

Hence, the correct interpretation for the given expression is the sum of x and y raised to the power of half n

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Answer: d3 = - 17/2

correction:  This is an explicit formula

All we have to do is plug n = 3 in the formula to find the 3rd term.

2. d(3)=-5(1/2)3-1

= -5/4

Step-by-step explanation: