There are white, green and blue beads
in a bag.
The ratio of white beads to green beads
is 2:5
The ratio of green beads to blue beads
is 1:3
Work out the ratio of white beads to blue
beads

The algebraic expression that corresponds to the sentence "I think of a number, subtract 4, then divide by three" is given as follows:

(n - 4)/3.

The sentence for this problem is given as follows:

"I think of a number, subtract 4, then divide by three".

The number is unknown, hence the variable used to represent the number is given by n.

Then the subtraction of the number n by 4 is represented by the expression presented as follows:

n - 4.

The division of the entire expression by 3 means that the parenthesis has to be applied to (n - 4), due to the precedence of operators, hence:

(n - 4)/3.

The problem asks for the algebraic expression that represents the sentence.

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The given statement is untrue about Pat. Therefore, it is invalid.

If each of the premises must be true in order for the conclusion to be true, the argument can only be validated if it does so. The term "valid" refers to a statement that is true, whereas the term "invalid" refers to a statement that is untrue.

The given situation is an invalid one. Because it's still feasible for Pat to be a woman, even if the premise is accurate. She could be a single woman. Because of this, the premise cannot be used to prove that she is a woman.

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The height of the helium tank is; Option D: 36 inches

The formula for the volume of a cylinder is;

V = πr²h

Where;

V is volume

r is radius

h is height

We are given;

Radius(r) = diameter/2 = 12/2

r = 6 inches

Volume; V = 1296π in³

1296π = π * 6² * h

h = 1296/36

h = 36 inches

We conclude that is the height if the helium tank

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Answer:

its height is 36 inches

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

if we set the total race of win and lose is 1

then we use 1-0.3=0.7

Using the table your total monthly fixed expenses is 977.43.

Rent payment $953. 20/month

Auto payment $165. 87/month

Telephone $56. 98/month

Auto insurance $714. 36/six months

Once-a-week outing $35. 00/week

= 953.20 + 165.87 + 56.98 + 714.36/6 + (35*4)

= 1435.11

= 2412.54 - 1435.11

=977.43.

An expense is something that calls for the transfer of funds, or fortune in general, from one person or organization to another as payment for a good, service, or other type of cost. Rent is a cost to a tenant. Tuition is a cost to parents or students. Purchasing anything like food, clothing, furniture, or a car is frequently referred to as a cost.

A cost that is "paid" or "remitted" usually in exchange for anything of value is referred to as an expense. "Expensive" refers to something that appears to be very expensive. "Inexpensive" refers to something that appears to be inexpensive. "Expenses of the table" include costs associated with eating, drinking, a feast, etc.

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El número natural 169 tiene como raíz cuadrada igual a 13.

Los números naturales comprenden a un conjunto discreto conformado por los números {1, 2, 3, 4, 5, ..., n, ...}, n ∈ N, donde N es el conjunto de los números naturales.

Los números naturales pueden ser números primos o números compuestos, los números compuestos pueden ser definidos como un producto de números primos. El número natural 169 es equivalente al siguiente producto de números primos:

169 = 13 × 13 = 13²

En consecuecia, la raíz cuadrada del número natural 169 es la siguiente: (nótese que la potencia al cuadrado es el opuesto a la raíz cuadrada)

x = √169

x = √(13²)

x = (13²)^(1 / 2)

x = 13

La raíz cuadrada del número natural 169 es igual a 13.

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The measurements of all the angles, if one angle is a right angle (90 degrees), and the second angle's measurement is six times smaller than the third angle's measurement of 180 degrees.

As per the data given in the above question are as bellow,

The data provided are as bellow.

The known angle (90) a pronumeral of r.

give the second angle (the one with all the subtraction) a pronumeral or x.

The third angle the pronumeral of y

x = 7y - 6

90 + x + y = 180

90 + 7y - 6 + y = 180

90 + 8y - 6 = 180

90 + 8y =186

8y = 96

y = 12.  

the third angle is 12

so 12 + 90 = 102

the second angle must equal 88 to make it to 180

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Note the correct question is as bellow,

Given a right triangle, find the measures of all of the angles, if one angle is a right angle (90 degrees) and the measure of the second angle is six less than seven times the measure of the third angle. This is represented by the equation x=7y - 6

Answer:

real number, in mathematics, a quantity that can be expressed as an infinite decimal expansion. Real numbers are used in measurements of continuously varying quantities such as size and time, in contrast to the natural numbers 1, 2, 3, …, arising from counting

Step-by-step explanation:

The quotient of any two integers is an integer.

A real number is a number that can be measured and represented on a number line; this includes fractions, decimals, irrational numbers, rational numbers, and basically every number you encounter. With that in mind, the quotient of 2 real numbers is not necessary an interger as 2.01/ 1 is not an integer

The value of Double integral will be [tex]\mathrm{I}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}[/tex]

A two-dimensional region can be integrated using double integrals. They enable us to, among other things, calculate the volume beneath a surface.

The integrals of a function in two variables over a region in R2, or the real number plane, are referred to as double integrals in mathematics. It is possible to write the double integral of a function of two variables, such as f(x, y), over a rectangular region as: R f (x, y) d A = R f (x, y) d x d y.

We know that by the property of integral [tex]$\int u \mathrm{udv}=u v-v \int d u$[/tex]

[tex]$$\begin{aligned}& \mathrm{I}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}=\left[\mathrm{x} \ln (1+\mathrm{x})-\int \mathrm{x} \frac{.1}{1+\mathrm{x}} \mathrm{dx}\right]_0^4 \\& \mathrm{I}=4\left[\mathrm{x} \ln (1+\mathrm{x})-\int\left(1-\frac{1}{1+\mathrm{x}}\right) \mathrm{dx}\right]_0^4 \\& \mathrm{I}=4[\mathrm{x} \ln (1+\mathrm{x})-\mathrm{x}+\ln |1+\mathrm{x}|]_0^4 \\& \mathrm{I}=[4 \ln (5)-4+\ln (5)]-[0-0+0] \\& \mathrm{I}=4[5 \ln 5-4] \\& \mathrm{I}=20 \ln 5-16\end{aligned}$$[/tex]

We have to evaluate the given double integral

[tex]$$\iint_{\mathrm{R}} \frac{4 \mathrm{x}}{1+\mathrm{xy}} \mathrm{dA} \text { where } \mathrm{R}=[0,4] \times[0,1]$$[/tex]

[tex]$$\begin{aligned}& \mathrm{I}=\int_0^4 \int_0^1 \frac{4 \mathrm{x}}{1+\mathrm{xy}} \mathrm{dydx}=\int_0^4 4 \mathrm{x}\left[\frac{|1+\mathrm{xy}|}{\mathrm{x}}\right]_0^1 \mathrm{dx} \\& \mathrm{I}=\int_0^{44}[\ln |1+\mathrm{x}|-0] \mathrm{dx}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}\end{aligned}$$[/tex]

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The length of the arc of the sector watered is 0.89π.

In the given question, a lawn sprinkler located at the corner of a yard rotates through 80 degrees and sprays water of 20 ft.

We have to find the length of the arc of the sector watered.

From the given question,

r = 20 ft, θ = 80 degree

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends.

The formula for the length of the arc of the sector watered is

L = [tex]\frac{\theta}{360^{o}}\times 2\pi r[/tex]

Now putting the value

L = [tex]\frac{80^{o}}{360^{o}}\times 2\times\pi \times20[/tex]

Now simplifying the length

L = [tex]\frac{320^{o}}{360^{o}}\pi[/tex]

L = 0.89π

Hence, the length of the arc of the sector watered is 0.89π.

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The exact value of cos I in simplest radical form is 5 /√29

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

The exact value of cos I in simplest radical form can be found by using trigonometric ratios.

cos I = adjacent / hypotenuse

The opposite is where the angle I is facing. That is opposite = 2

The hypotenuse is where the right angle is facing. That is hypotenuse = √29

The adjacent is the side left after picking opposite and hypotenuse. That is adjacent = 5

cos I = 5 /√29

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Answer: 60in²

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

So to solve this, you need to know how to find the area of a trapezoid.

In case you don't know this equation, I'll explain it briefly.

The area of a trapezoid = (a+b)*h/2, where a and b are the base lengths and h is the height of the trapezoid.

We can solve this problem using this equation, which would look like:

Area = (9+11)*6/2

= 20*6/2

= 60

On solving the provided question, we can say that by equation 15+4 = total minutes, they can talk 19 minute

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x= total minutes -4    the 1st 4 minutes are included in the .30

total cost = .3 + .18 x  

[tex]3 = .3 +.18 x\\2.7 = .18x\\2.7/.18 = x\\15 = x[/tex]

x = total minutes -4

15+4 = total minutes

they can talk 19 minute

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Answer:

Step-by-step explanation:

120 degrees per angle - It says that it's a *regular* hexagon

Answer:

Step-by-step explanation:

Since the line segment RST is perpendicular to OM, the length of RT can be determined by using the Pythagorean Theorem.

Let RT = x

We know that:

OS = OM - OS = 7 cm

Using the Pythagorean Theorem, we can solve for x:

x^2 = OS^2 + RT^2

x^2 = (7 cm)^2 + x^2

2x^2 = 49 cm^2

x^2 = 24.5 cm^2

x = √24.5 cm = 4.94 cm

Therefore, the length of RT = 4.94 cm

Big boxes have 1/4 of 20 gigabytes of ram will be 5 gigabytes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Big boxes have 1/4 of 20 gigabytes of ram.

Then the multiplication of the numbers 1/4 and 20 will be given by putting a cross sign between them. Then we have

⇒ (1/4) x 20

⇒ 20 / 4

⇒ 5 gigabytes

Big boxes have 1/4 of 20 gigabytes of ram will be 5 gigabytes.

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Answer:

a = 8

Step-by-step explanation:

The following inequalities will form a rectangle. Hence, the area of a rectangle is [tex]\displaystyle{A=\Delta x \cdot \Delta y}[/tex]

In this case, [tex]\Delta x[/tex] = 5-1 which is 4, and [tex]\Delta y[/tex] = a - 2. Substitute in:

[tex]\displaystyle{24 = 4\cdot (a-2)}[/tex]

Now solve the equation for a-term:

[tex]\displaystyle{24=4a-8}\\\\\displaystyle{24+8=4a}\\\\\displaystyle{32=4a}\\\\\displaystyle{8=a}[/tex]

Therefore, the value of a is 8 to make the region have an area of 24 square units.

Answer: 33 - g = 56

less than means -

is means =

Answer:

32

Step-by-step explanation:

[tex]8\sqrt{3}[/tex] is opposite to the 60 degree angle

The side opposite to the 60 degree angle = [tex]\sqrt{3}[/tex] times the side opposite to the 30 degree angle.

Side opposite to the 30 degree angle = 8

Leg opposite to the 30 degree angle theorem states that the side opposite to the 30 degree angle is half of the hypotenuse.

Hypotenuse = 16

In the big triangle, 16 is the side opposite to the 30 degree angle, which means it is half of the hypotenuse (big triangle).

Hypotenuse of the big triangle = x = 32

Hope this helps :)

Have a great day!

The total cost of the bridge will be (200/2) × 8 × 1000 + 50 × 10 + 500 = $90,000.

The formula for calculating the cost of a bridge is Cost = (Area of Bridge/2) × Unit Weight of Steel × Unit Price of Steel + Cost of Labor + Cost of Other Materials. By using this formula, we can determine the total cost of the bridge by considering the area of the bridge, the weight of the steel used, the price per unit of steel, the cost of labor, and the cost of other materials. For example, if the area of the bridge is 200m^2, the unit weight of steel is 8 tonnes/m^3, the unit price of steel is $1000/tonne, the cost of labor is $50 per hour, and the cost of other materials is $500, then the total cost of the bridge will be (200/2) × 8 × 1000 + 50 × 10 + 500 = $90,000. Thus, by using this formula, we can easily calculate the cost of the bridge and understand why local politicians are dragging their feet in building a new bridge.

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Answer: Editorial is data is the correct answer.

Step-by-step explanation: I took test and it is confirmed correct.

Answer:

(5, 0)

Step-by-step explanation:

The slope of the first line is -(-1 / 1) = 1.

The slope of the second line is -(3 / 5) = -3/5.

Since the lines have different slopes, they intersect at a single point. Therefore, there is only one solution. To find it, solve the system of equations.

Using elimination, multiply the first equation by 3 and add it to the second.

-3x + 3y = -15

3x + 5y = 15

-------------------

8y = 0

y = 0

Using substitution, find x:

-x + 0 = -5

x = 5

The solution is (5, 0).

Answer:

To solve this problem, we will use the following steps:

Step 1: Convert the amount of roast beef used in each sandwich to a decimal by dividing the numerator by the denominator: 3/8 pound = 0.375 pound

Step 2: Subtract the amount of roast beef that Marisa has left from the amount of roast beef that she started with to find the amount of roast beef used: 5 - 2.75 = 2.25 pounds

Step 3: Divide the amount of roast beef used by the amount of roast beef used in each sandwich: 2.25 pounds / 0.375 pounds = 6

Final Answer: Marisa made 6 deli sandwiches.

The negative exponents in the denominator change it into positive exponents are 1/(2⁻³) = 8, 1/(2x⁻³) = (1/2)x³  and 4/(2(3⁻³)) = (4/2)×3³ = 54

If you have a fraction with a negative exponent in the denominator, you can change it into a positive exponent by reversing the fraction and taking the reciprocal.

For example, if you have the fraction 1/(x⁻²) you can change it to x² by flipping the fraction and taking reciprocal: 1/(x⁻²) = 1/(1/x²) = x²

Note that when you have a negative exponent in the denominator, it means that the variable is in the denominator and the reciprocal can be taken to move the variable to the numerator, as shown above.

Thus, we can solve the given questions as follow:

1/(2⁻³) = 2³ = 8

1/(2x⁻³) = (1/2)x³

4/(2(3⁻³)) = (4/2)×3³ = (2)×3³ = 2 × 27 = 54

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The statistic that would not change if 50 points were added to each score in the SAT tests is the Standard Deviation.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance.

The bigger the deviation within the data collection, the further the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.

Since they are used to determine standard deviation, sample size, mean, and data values all have an impact on standard deviation. By removing outliers, the sample size, mean, and standard deviation may all change.

Because 50 points was added to each score, they are still the same distance from each other which means the standard deviation will not change.

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The information shows that f(4)=f(30) tells us that the weight of a particular female panda at 4 years old is the same as her weight at 30 years old.

It is a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

In this case, Dr. Coleman is a zoologist who studies giant pandas. Giant pandas are very tiny when they are born but grow to be quite large. The function f(x) gives the weight, in pounds, of a particular female panda when she was x years old.

The function illustrated shows that the weights are the same.

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The inequality that satisfies the number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Different types of inequalities are represented by a variety of notations, including:

The symbol a <  b indicates that a is smaller than b.

When a > b is used, it indicates that an is bigger than b.

Given,

Hours Saul plans to volunteer in the 9-month period = 225 hours

Also,

Hours of volunteering he has already completed = 36 hours

=> Number of hours left = 225 - 36 =189 hours

Number of months= 9

=> Minimum number of hours he has to volunteer per month

=> [tex]\frac{Number of hours left}{Number of months}[/tex]

=>[tex]\frac{189}{9}\\ 21 hours[/tex]

=>Minimum number of hours saul has to volunteer per month ≥ 21 hours

Therefore, The number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

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Answer:

[tex]\textsf{1)} \quad 10000(1.06)^t[/tex]

2)   €17,908.48

3)  0.5%

4)  120

[tex]\textsf{5)} \quad 10000(1.005)^{120}[/tex]

6)  €18,193.97

7)  More money.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

Substitute the given values into the compound interest formula to write an expression that describes the given scenario over t years:

[tex]\implies A=10000(1+0.06)^t[/tex]

[tex]\implies A=10000(1.06)^t[/tex]

To calculate how much money will be in the fund after 10 years, substitute t = 10 into the equation from question 1:

[tex]\implies A=10000(1.06)^{10}[/tex]

[tex]\implies A=10000(1.79084769...)[/tex]

[tex]\implies A=17908.4769...[/tex]

Therefore, there will be €17,908.48 in the emergency fund after 10 years.

If the annual rate is 6%, the monthly interest rate is the annual rate divided by 12 (since there are 12 months in a year):

[tex]\implies \dfrac{6\%}{12}=0.5\%[/tex]

Given that are 10 years in the scenario, the exponent will be the number of months in 10 years:

[tex]\implies 10 \times 12 = 120[/tex]

0.5% = 0.005

Therefore, the complete expression that describes the scenario, given an annual interest rate of 6% that compounds monthly over 10 years is:

[tex]\implies 10000(1 + 0.005)^{120}[/tex]

[tex]\implies 10000(1.005)^{120}[/tex]

To calculate how much money will be in the emergency fund after 10 years if the interest compounds monthly, calculate the expression from question 5:

[tex]\implies 10000(1.005)^{120}[/tex]

[tex]\implies 10000(1.81939673...)[/tex]

[tex]\implies 18193.9673...[/tex]

Therefore, there will be €18,193.97 in the emergency fund after 10 years.

Amount in fund when compounded annually = €17,908.48

Amount in fund when compounded monthly = €18,193.97

Therefore, there is more money in the emergency fund when it is compounded monthly as the compounding frequency is greater (interest is earned on both the principal and the interest, so the more frequent the compounding periods are, the more interest is earned).

The general rule about compounding in exponential functions is the higher the number of compounding periods, the greater the amount of compound interest.  

In terms of compounding interest in investment:

The largest number that divides two or more numbers evenly is greatest common divisor (GCD).

The biggest positive number that divides any non-zero integer by two or more is known as the greatest common divisor.

The greatest common divisor is the biggest number that divides two or more numbers proportionally (GCD).

Using the LCM method, the steps to calculate the GCD of (a, b) are as follows:

Find the result of a and b in step 1.

Find a and b's least common multiple (LCM) in step two.

Step 3: Dividing the results of Steps 1 and 2.

Step 4: The value that results from division is the most significant common divisor of (a, b).

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