Sierra has a bucket that originally contained 340 fl oz of water and is being filled at a rate of 5 fl oz per
minute. Brian has a bucket that originally contained 650 fl oz of water and is being drained at a rate of 8 fl oz
per minute. What is x, the number of minutes that need to pass in order for the two buckets to contain the
same amount of water?

Answer:Tenths

Step-by-step explanation:Hope it helps

Answer:

is 7 more than 4 or 4 more than 7?

Step-by-step explanation:

JUST USE YOUR BRAIN!

Answer:

no

Step-by-step explanation:

of course not. since the denominators are the same, the numerators have to be equal. since the numerators aren't equal, the answer is no

Answer:

Step-by-step explanation:

30 and 20

Answer:

5 and -5

This is because these 2 spots are exactly 5 spaces from 0.

Answer: 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

codec log 8x + y =15

Step-by-step explanation:

have a good day!

Answer:

75 degree

Step-by-step explanation:

35+70+75=180 degree

Solution of this polynomial equation is x = 4

In mathematics, polynomial equation can be defined as the equation which consist of coefficient, variables and exponents. A polynomial equation has positive numbers as their exponent which is also known as its degree. All the equations such as quadratic equation, cubic equation which has non  negative number as their powers are part of polynomial equation.

Types of polynomial equations :

Some examples of polynomial equation are :

According to question,

2x = 8

=> 2x / 2 = 8 /2

=> x = 4

Thus solution for given equation is x = 4.

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The product of two factors is 1. One of the factors is 1. B. Yes; the other factor is 1 since 1 × 1 = 1.

From the information given, the product of two factors is 1 and one of the factors is 1.

Let the other number = y

The other number will be:

1 × y = 1

y = 1

Therefore, the other number is 1

In conclusion, the correct option is B.

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The correct option is (b) square root 112 units

By using Pythagoras theorem,

where a & b = legs of triangle and c = hypotenuse

Hence:

Answer:

The weight of the popcorn is off but the potato chips are safe. Simply determine whether each value is within the limit of deviation from eachother.

We need to know about linear and proportional relationship to solve this problem. Statement 2 is true, the description shows a linear relationship and a proportional relationship.

Linear relationship is a relationship between two variables where if one increases the other increases or if one decreases the other decreases. The varibales in a linear relationship form a straight line on graph. Proportional relationship is the relationship between two variables where the ratio between pairs of different data always remains constant. In the given question, a 12 ounce cup costs $1.97, a 16 ounce cup costs $2.62 and a 20 ounce cup costs $3.27. The price of each cup increases with increase in capacity of the cup, so we can say that the cup capacity and price have a linear relationship. The ratio between each pair can be given by

12/1.97=6.10

16/2.62=6.10

20/3.27=6.10

The ratios between every pair is same, so it is a proportional relationship.

Thus we found that the description shows a linear relationship and a proportional relationship between the cup capacity and it's price, statement 2 is the right option.

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The sidewalk around a lake is 9/10 mile long. You walk 3 laps Around the lake in the morning and 2 laps in the evening. Your friend walks the same total distance as you on a 3/2 mile track.

Given that

To find

So, according to the question

we have,

                                                     = (9 ×5)/10

                                                     = 4.5 miles.

Now, from question

So, Total laps walk by your friend

             = ( Total distance walk by you)/(Total length of your friends track)

             = [tex]\frac{4.5}{(\frac{3}{2}) }[/tex]

             = [tex]\frac{4.5\times 2}{3}[/tex]

             = 9/3 = 3

Answer:

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The actual area of the care park in hectares is 18.75

As per the known fact, ratio of measurement on scale is equal to the ratio of measurement in real. So, writing the equation first -

Area of car park = 3 cm²

Keep the value of 1 cm in the above mentioned equation.

Area of car park = 3 × (250)²

Taking square

Area of car park = 3 × 62,500

Performing multiplication

Area of car park = 1,87,500 m²

Converting the area in hectares

10,000 m² = 1 hectare

1,87,500 m² = (1 ÷ 10,000) × 1,87,500

1,87,500 m² = 18.75 hectares.

Therefore, the actual area of the care park is 18.75 hectares.

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Considering the definition of an equation and the way to solve it, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns.

The members of an equation are each of the expressions that appear on both sides of the equal sign.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

Being "x" the number of cupcakes baked by Cadence on Monday, and knowing that:

the equation in this case is:

3 + 2x= 45

Solving:

2x= 45 -3

2x= 42

x= 42 ÷ 2

x= 21

Finally, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.

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Answer:

p = - 12

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] p - 11 = [tex]\frac{1}{3}[/tex] p - 15

multiply through by 3 to clear the fractions

2p - 33 = p - 45 ( subtract p from both sides )

p - 33 = - 45 ( add 33 to both sides )

p = - 12

Answer:

-12

Step-by-step explanation:

(sorry its a bit messy - hope it helps though!)

Answer:

f(x) = x - 8

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

[tex]\sqrt{8} * \sqrt{18} =12[/tex]

Answer:x=6 x=-3

Step-by-step explanation:

3x(x^2-3x-18)=0

   (X-6)(x+3)=0

X-6=0.      X+3=0

 +6=+6.       -3=-3

X=6.             X= -3

For logarithmic equation 1/2 log x + log 4 = 2, the value of x is 34,040.25

Step 1: Using exponentiation principles, isolate a logarithmic expression (with the same base) on both sides of the equation.

Step 2: balance the arguments.

Step 3: Solve the resultant equation.

Step 4: Double-check your answers.

Given,

1/2 log x + log 4 = 2

log x^(1/2) + log 4 = 2

using logₐ(m.n) = logₐ(m) + logₐ(n)

log e (4 (x^1/2)) = 2

e² = 4x^(1/2)

7.38 = 4√x

Squaring on both sides -

54.4644 = 16x

x = 54.4644 / 16

x = 34,040.25

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Answer:

see explanation

Step-by-step explanation:

a rational number has the form

[tex]\frac{a}{b}[/tex] , where a and b are integers

given

0.3596 ← with 6 in the [tex]\frac{1}{10000}[/tex] place

= [tex]\frac{3596}{10000}[/tex] = [tex]\frac{899}{2500}[/tex] ← a rational number

The value of the expression log₃9 is 2.

The logarithmic function is the inverse of the exponential function. This means that the logarithm of a given number, say x, is the exponent to which another fixed number that is the base b, must be raised, so as to produce that number x.

Log a to the base b can be written as- log a/ log b.

Moreover, log [tex]a^{k}[/tex]= k log a, for all non negative values of a

Here, we are given a logarithmic expression- log₃9

We can expand this as-

log₃9 = log 9/ log 3

= log [tex]3^{2}[/tex]/ log 3

= 2 log 3/ log 3

= 2

Thus, the value of log₃9 is 2.

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The value of the x is 1 in the linear equation. Thus, option C is correct.

According to the statement

We have to find that the value of the x.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equation is:

4x−3=−12x+13

Then

we have to solve it

4x−3=−12x+13

4x+12x = 3+13

16x = 16

x = 16/16

x =1.

When we put x =1 in the given equation and then i satisfy the equation and give same values after calculation.

So, The value of the x is 1 in the linear equation. Thus, option C is correct.

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De acuerdo a la información se puede inferir que su hijo nació en el año 22 antes de Cristo.

Una recta numérica es una herramienta gráfica de las matemáticas que nos sirve para ubicar números positivos y negativos en un gráfico con el objetivo de organizarlos con respecto al número cero.

Las líneas de tiempo con fechas Antes y Después de Cristo se pueden asociar a una recta numérica debido a que los años Antes de Cristo se ubican en la parte negativa de la gráfica (a la izquierda del cero) y los número Después de Cristo se ubican en la parte positiva (a la derecha del cero).

Para identificar el año de nacimiento del hijo debemos tener en cuenta que las fechas que se ubican en la zona negativa de la recta numérica aumentan de forma invertida, es decir que si su hijo nació 28 años después de ella se debe restar este número a su fecha de nacimiento como se muestra a continuación:

50 - 28 = 22

Entonces, el año de nacimiento de su hijo sería el año 22 Antes de Cristo.

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Answer:

Step-by-step explanation:

1/2÷4 = 1/8 = 0.125.

[tex]\cfrac{1}{2}\div -4\implies \cfrac{1}{2}\div \cfrac{-4}{1}\implies \cfrac{1}{2}\cdot \cfrac{1}{-4}\implies {\LARGE \begin{array}{llll} -\cfrac{1}{8} \end{array}}[/tex]

We have expression ln a-2 ln b+1/3 ln c as a single natural logarithm

㏑ [tex](\frac{ac^{\frac{1}{3} }}{b^2} )[/tex]

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.

The power to which e would need to be raised in order to equal x is the natural logarithm of x.

For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.

Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.

We have been asked to express ln a-2 ln b+1/3 ln c as a single natural logarithm.

⇒ ln a-2 ln b+1/3

⇒ ㏑ (a) - ㏑ (b²) + ㏑ [tex]c^{\frac{1}{3} }[/tex]

Use the quotient property of logarithms for ln a-2 ln b

⇒ ㏑ [tex](\frac{a}{b^2} )[/tex] + ㏑ [tex]c^{\frac{1}{3} }[/tex]

Use the quotient property of logarithms for ㏑ [tex](\frac{a}{b^2} )[/tex] + ㏑ [tex]c^{\frac{1}{3} }[/tex]

⇒ ㏑ [tex](\frac{ac^{\frac{1}{3} }}{b^2} )[/tex]

Finally, we have expressed ln a-2 ln b+1/3 ln c as a single natural logarithm ㏑ [tex](\frac{ac^{\frac{1}{3} }}{b^2} )[/tex]

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The missing numbers are 17,66,13, 9 3 and 15 respectively .

The rules given to us are-

first row consist of a number which is the sum of two numbers of middle row

Third row consist of a number which is the product of two numbers of middle row

The first part

The sum of 6 and 11 is 17 and the product of 6 and 11 is 66

       17

6                11

       66

The second part

To find the second number of middle row we need to divide 36 by 4 and we get 9 and the sum of 4 and 9 is 13

       13

4               9

       36

The third part

To find the numbers of middle row we need to find the factors of 45 that sum up to 18

The factors of 45 are 3*3*5

The factor 15 and 3 satisfy both the requirements

       18

3                15

       45

Hence, The missing numbers are 17,66,13, 9 3 and 15 respectively

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Answer: The problem asks to solve for x. Equation B gives you the value of y, y = 2, so you can substitute 2 into Equation A for y.

Step-by-step explanation: