Write an equation for the table below.

Y = [blank]

Y = MX

Answer:

He got an 80 percent.

Step-by-step explanation:

Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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Answer:

  8.5 cm

Step-by-step explanation:

You want to know the length of AB in rectangle ABCD with perimeter 26 cm if BC = PQ, QR = 10 cm, and the area of rectangle PQRS is 45 cm².

The area of rectangle PQRS is ...

  Area = PQ·QR

  45 cm² = PQ·(10 cm)

  PQ = (45 cm²)/(10 cm) = 4.5 cm

The perimeter of rectangle ABCD is ...

  Perimeter = 2(AB +BC)

  26 cm = 2(AB +4.5 cm) . . . . . . . . BC = PQ = 4.5 cm

  13 cm = AB +4.5 cm . . . . . divide by 2

  8.5 cm = AB . . . . . . . . subtract 4.5 cm

The length of AB is 8.5 cm.

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Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Answer:

5.94

Step-by-step explanation:

Multiply 2.75 by $0.76 to get $2.09

Multiply 2.75 by $1.40 to get $3.85

Add $3.85 and $2.09 to get $5.94

The money in dollars  is 5.94 and cents 594 did Charlie pay for the pears and grapes

We have given that,

2.75 pound of pears cost $ 0.76

Therefore,

2.75×0.76=2.09.....(1)

$2.75 pound of grapes cost $1.40

Then the cost of grapes is

2.75× 1.40=$3.85..........(2)

add value of equation 1 and equation 2 we will get

2.09+3.85=$5.94

So the charlie has to pay 5.94 in dollar

Next we have to find in cents

What is the value of 1 dollar in cents?

\($1=100\)cent

multiply both side by  5.94

\($1* 5.94=100 * 5.94\)

\(5.94 dollars=594 cents\)

Therefore,

The money in dollars  is 5.94 and cents 594 did Charlie pay for the pears and grapes.

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Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Answer:

48°

Step-by-step explanation:

Given that GK is the diameter of the circle ;

Then GK which is the half of the circle is 360/2 = 180 (Angle at a Point = 360°)

Diameter =half of the entire circle = 360 /2 = 180

GK = 180°

GK =GR + KR = 180

KR = 132°

180 = GR + 132

GR = 180 - 132

GR = 48°

Step-by-step explanation:

7 √(1/3) - 2 1/3 √(1/3) +3√147

→7(1/√3) - (7/3)(1/√3) +3√(3×7×7)

→ (7/√3) - (7/3√3) +3×7√3

→ (7/√3) - (7/3√3) + 21√3

On Rationalising the denominators then

→ [ 7√3/(√3×√3)]-[7√3/(3×√3×√3) +21√3

The Rationalising factor of√3 =√3

→ (7√3/3)-[7√3/(3×3)]+21√3

→ (7√3/3)-(7√3/9)+21√3

LCM of 3 and 9 = 9

→ [(3×7√3)-(7√3)+(9×21√3)]/9

→ (21√3-7√3+189√3)/9

→[(21-7+189)√3]/9

→ [(210-7)√3]/9

→ 203√3/9 Ans.

Hope this helps.

Answer:

x = -3/4

Step-by-step explanation:

Accοrding tο the prοvided statement, there will be 21 favοrable results.

A cοmpοsite number is a pοsitive integer that can be fοrmed by multiplying twο smaller pοsitive integers. Equivalently, it is a pοsitive integer that has at least οne divisοr οther than 1 and itself.

A prime integer οnly has twο factοrs: οne and itself. A cοmpοund integer is made up οf at least three cοmpοnents, and οccasiοnally much mοre.

A prime number (οr a prime) is a natural number greater than 1 that is nοt a prοduct οf twο smaller natural numbers. A natural number greater than 1 that is nοt prime is called a cοmpοsite number. Fοr example, 5 is prime because the οnly ways οf writing it as a prοduct, 1 × 5 οr 5 × 1, invοlve 5 itself. Hοwever, 4 is cοmpοsite because it is a prοduct (2 × 2) in which bοth numbers are smaller than 4.

Primes are central in number theοry because οf the fundamental theοrem οf arithmetic: every natural number greater than 1 is either a prime itself οr can be factοrized as a prοduct οf primes that is unique up tο their οrder.

4, 6, 8, 9, 10, 12 - these are the cοmpοsite numbers pοssible as sum.

Favοurable number οf οutcοmes = 21 ans.

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Step-by-step explanation:

\((460 - 349.60) \div 460 \times 100 = 24\)

Answer:

i got you the answer is .....

Step-by-step explanation:

there you go

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

44

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

This is quite simple, Are you sure you can't do it on your own?

Answer:

D is the answer

Step-by-step explanation:

Answer: A (5⁻²)² and D 5²*5⁻⁶.

Step-by-step explanation:

\(\displaystyle\\\frac{1}{5}*\frac{1}{5} *\frac{1}{5} *\frac{1}{5}=\\\\\frac{1*1*1*1}{5*5*5*5} = \\\\\frac{1^4}{5^4}=\\\\\frac{1}{5^4}=\\\\5^{-4}=\\\\5^{-2*2}=\\\\(5^{-2})^2.\)

\(5^{-4}=\\\\5^{2-6}=\\\\5^2*5^{-6}.\)

Answer:

a=25

Step-by-step explanation:

Answer:

a=25

Step-by-step explanation:

Solve for a by simplifying both sides of the equation, then isolating the variable

Answer:

the third one im pretty sure

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

forgotten sorry

Answer:

(4,5)

Step-by-step explanation:

Answer:

2x ( -3x + 14)

Step-by-step explanation:

Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.

3x ( 2x - 8 ) + 4x

Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.

-3x · 2x + (-3x) · (-8) +4x

Simplify by multiplication:

-6x² + 24x +4x

Finally, we add:

-6x² +28x

Now, to simplify further, we can look for terms that show up in numbers.

We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:

x ( -6x + 28)

We can look and see that 2 is also a common factor between the two terms, so we can take that out too.

2x ( -3x + 14)

This is the most simplified it can get.

The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

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The ordered triple (p, q, r) that satisfies the given system of linear equations is (7, 2, 2).

To solve the given system of equations:

Start with the first equation: p - 2q = 3.

Multiply this equation by 2 to eliminate the coefficient of q: 2p - 4q = 6.

Next, we'll combine this equation with the second equation: q - 2r = -2.

Add the two equations together: (2p - 4q) + (q - 2r) = 6 + (-2).

Simplifying, we get: 2p - 3q - 2r = 4.

Now, let's consider the third equation: p + r = 9.

Rearrange this equation: p = 9 - r.

We can substitute this value for p in the equation we obtained in step 3:

2(9 - r) - 3q - 2r = 4.

Simplify the equation: 18 - 2r - 3q - 2r = 4.

Combining like terms, we have: -4r - 3q = -14.

We now have a system of two equations with two variables:

-4r - 3q = -14, (Equation 1)

q - 2r = -2. (Equation 2)

To solve this system, we can use various methods such as substitution or elimination. Here, we'll use the substitution method.

From Equation 2, we can solve for q:

q = 2r - 2.Substituting this value for q in Equation 1, we have:

-4r - 3(2r - 2) = -14.

Simplify and solve for r:

-4r - 6r + 6 = -14,

-10r = -20,

r = 2.

Now, substitute the value of r back into Equation 2 to solve for q:

q - 2(2) = -2,

q - 4 = -2,

q = 2.

Finally, substitute the values of q and r into Equation 3 to solve for p:

p + 2 = 9,

p = 7.

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Answer:

There are 32 ferrets, 112 rabbits and 16 dogs at the shelter.

Step-by-step explanation:

There are 160 animals at the shelter. You know that of this amount of animals,\(\frac{1}{5}\) are ferrets. So, the number of ferrets can be calculated by:

\(\frac{1}{5}*160\)

To multiply a fraction by a whole number, any integer n can be written as the fraction \(\frac{n}{1}\). Then you multiply the numerators and denominators. In this case:

\(\frac{1}{5}*160=\frac{1}{5}*\frac{160}{1} =\frac{1*160}{5*1} =\frac{160}{5}\)

Now you must reduce to the simplest form. To get a simplified result, divide the numerator by the denominator. In this case:

\(\frac{160}{5}\) = 160 ÷ 5= 32

So, there are 32 ferrets at the shelter. Then, the number of animals remaining is calculated by the difference:

160 animals - 32 ferrets= 128 animals

\(\frac{7}{8}\) of the remaining animals are rabbits. Then:

\(\frac{7}{8}*128\)

Solving in the same way as in the previous case:

\(\frac{7}{8}*128=\frac{7}{8}*\frac{128}{1} =\frac{7*128}{8*1} =\frac{896}{8}\)

\(\frac{896}{8}\)= 896 ÷8= 112

So, there are 112 rabbits at the shelter.  Then the remaining animals will be dogs, which will be calculated by the difference:

128 animals - 112 rabbits= 16

Finally, there are 16 dogs at the shelter.

Using the length formula we know that the length of the given arc is 30.144 miles.

In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.

The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.

So, the formula to find the length of the arc is:

Length of an Arc = θ × r

Now, insert values and calculate as follows:

Length of an Arc = θ × r

Length of an Arc = 4π/5 × 12

Length of an Arc = 4π/5 × 12

Length of an Arc = 12.56/5 * 12

Length of an Arc = 2.512 * 12

Length of an Arc =  30.144

Therefore, using the length formula we know that the length of the given arc is 30.144 miles.

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el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52