In a geometric sequence, the difference between each pair of consecutive terms must be the same.

The question that can be answered by finding the quotient of 5/6 divided by 1/20 is C. Jared has 5/6 of an hour left to finish making bags. It takes him 1/20 of an hour's to make each bag. How many bags can he make?

It should be noted that the quotient is the value that is gotten when we divide the numbers given.

In this case, Jared has 5/6 of an hour left to finish making bags. It takes him 1/20 of an hour's to make each bag.

The number of bags will be:

= 5/6 ÷ 1/20

= 5/6 × 20

= 100 / 6

= 17 bags

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Answer:

17 bags

Step-by-step explanation:

The seal's new position relative to the surface of the ocean is 47 meters below.

It is important to note that that question has to do with elevation which is the change in position with regards to the sea or ocean level.

In this case, the harbour seal dives 35 metres below the ocean's surface and then it dives down an additional 12 metres

The new position will be;

= -35 - 12

= -47

This implies that it's 47 meters below the ocean surface.

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The statement that is not true about body mass index is B. measures the percentage of one's body fat directly

The Body Mass Index (BMI) calculates a person's weight in relation to their height. It is not a precise assessment of a person's total body fat, more of an indicative.

The majority of the time, total body fat and BMI are correlated.

The Body mass index (BMI) formula

= weight in kilograms / square of height in meters

BMI Categories values are classified below

Underweight  ≤ 18.5

Normal weight = 18.5–24.9

Overweight = 25–29.9

Obesity = BMI of 30 or greater

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Answer:B

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The change in Shamar's bank account after 7 months is

x - 98.

Where x is the amount in the account initially.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the account = x

Amount deducted every month = $14

The change in the account after 7 months.

= x - 7 x 14

= x - 98

Thus,

The change in Shamar's bank account after 7 months is

x - 98.

Where x is the amount in the account initially.

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A summation, also known as a sum, is the result of arithmetic addition of numbers or quantities.

The value of x = 6 and y = 6 then the number exists 6 and the sum of the digits is 9.

Any of the following algebraic expressions should be used: addition, subtraction, multiplication, and division. Bring the variable to the left and all the remaining values to the right to find the value of x.

From the given information, we get

x - y = 6 ...............(1)

"if five times the smaller number is two times the larger number"

from the above information, we get

5y = 4x + 2

5) To simplify the value of y:

y = (4x +2) / 5 ...............(2)

Substitute  y = (4x +2) / 5 in (1), then we get

x - (4x + 2) / 5 = 6

5x / 5 - (4x + 2) / 5 = 6

simplifying the above equation, we get

(5x - 4x - 2) / 5 = 6

x - 2 = 5 x 6

x -2 = 30

x = 32

Substitute the value of x in (2)

y = 4(32) + 2 / 5

simplifying the above equation, we get

y = 130 / 5

y = 26

From (1), we get

x - y = 6

substitute the value of x and y in the above equation,

32 - 26 = 6

6 = 6

6) T is the 10s digit

X is the one's digit

The two digit number is 10T + X

It is 7 times the sum of the digits, so the 2 digit number is 7 times as large as the sum of the digits

10T + X = 7(T+X)

By using distributive law

10T + X = 7T + 7X

10T + X - 7T - 7X = 0

simplifying the above equation, we get

3T - 6X = 0

3(T - 2X) = 0

T - 2X = 0

T = 2X

The tens digit is 3 more than the one's digits, so

T = X + 3

Then we have  

T = 2X = X  + 3

Subtracting X from both sides,

T - 3 = X  + 3 - 3

X = 3

The Tens digit is 6.

The number is 63.

The sum of the digits is 9.

9 × 7 = 63.

Therefore, the value of x = 6 and y = 6 then the number exists 6 and the sum of the digits is 9.

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Answer:

given point is (-3,-2)

The rule for a rotation by 270° about the origin is (x,y)→(y,−x).

So,

(-3,-2)==============(-2,3).

there fore,

(-2,3) is the image point of (-3,-2)after the transformation r(x-axis) and rotation 270°.

The value of WV is 9x - 10

A line segment can be defined as the part of a straight line which is bound by two distinct end points, and is known to be made up of every point on the line that between its endpoints.

From the information given, we can say that WY is a line with V as its midpoint with segments WV and VY.

We have;

This is represented as;

WV + VY = WY

Then;

WV = WY - VY

substitute the values

WV = 5x + 19 - (29 - 4x)

expand the bracket

WV = 5x + 19 - 29 + 4x

collect like terms

WV = 9x - 10

Hence, the value is  9x - 10

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Answer:7,800

Step-by-step explanation:

Answer:

Option B (3,510ft) would be correct.

Step-by-step explanation:

The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases. It has 6 faces (all are rectangular),12 sides, and 8 vertices. As the rectangular prism is a three-dimensional shape (3D shape), the unit that is used to express the volume of the rectangular prism is cm3, m3 and so on. In mathematics, any polyhedron, having all such characteristics can be referred to as a Cuboid.

The credit sale after state and local tax payable is 2562$.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The credit sale before sales taxes = 2800$,

The rate of state sale tax = 6%,

And rate of local sale tax = 2.5%

The sale after state tax = 2800-2800×6/100=2800-168=2632,

The sale after local tax=2800-2800×2.5/100=2800-70=2730

The credit sale after state and local tax= 2800-168-70=2562.

The required credit sale =2562$.

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The value of TU is 21

From the question, we have

ST=3x+3 and TU=2x+9

ST = TU

3x + 3 = 2x + 9

3x - 2x = 9 - 3

x = 6

substituting the value, we get

TU = 2x + 9

= 2 (6) + 9

= 12 + 9

TU = 21

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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Answer:

1.6 kg = $2.96

Step-by-step explanation:

The given statement is,

→ 1 kg of apple = $1.85

→ a = 1.85

Now the cost of 1.6 kg of apple is,

→ 1.6 × a

→ 1.6 × 1.85

→ $2.96

Hence, 1.6 kg of apple is $2.96.

Answer:

Joseph's present age=3 yrs

David's present age=9 yrs

Step-by-step explanation:

Let Joseph's present age be x.

David's present age=3x

__________________

Ater 3 yrs,

Joseph's age=x+3

David's age=2(x+3)

Also, we can add 3 to David's present age to get age After 3 yrs. So, David's age after 3 yrs would also be 3x+3.

Now, balance them.

3x+3=2(x+3)

3x+3=2x+6

x=3

D"s prsent age=9

J's present age=3

Answer: 7y = 38.11111111111   2y = 10.8888888889 the sum of these two equals to 49 so 11-49=-38 Hopefully you understood. But I didn't know what you wanted to know from this?

Step-by-step explanation: 11-(7y+2y)=-38

7y+2y=9y (basic math)

11-9y=-38  then you want to move -38 to the other side, and when you move it to the other side it changes its value then from -38 it becomes 38. Same for the -9y, we move it to the other side and it changes its value so now from -9y its 9y. So now are equation should look like this 11+38=9y.   11+38=49 => y=49÷9   y=5.44444444444   (49÷9) x 7 = 38.1111111111 and (49÷9) x 2 = 10.8888888889      

The equation that could be used to determine x, the number of purses Paula must sell to pay for the new equipment is;

A. 5.00x - 2.25x = 5000

We are told the materials costs $2.25 per purse.

She sells the materials for $5 each.

If the number of materials she purchased was x, it means that;

Selling price - Cost price = 5.00x - 2.25x

Now, we are told that she wants to invest $5000 for some new equipment. This means that she must realize at least $5000 in profit from the sales she is making of the materials.

Since the formula for profit is;

Profit = Selling Price - Cost Price

Then, we will have;

5.00x - 2.25x = 5000

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Answer:  5.00x - 2.25x = 5000

Step-by-step explanation:

Answer:

Step-by-step explanation:

ABC = the draw of the square means that the angle is right

We can now say that the other two angles are acute because the sum of the interior angles of a triangle is 180 degrees

BCA = acute

CAB = acute

Answer:

1-5+171

Step-by-step explanation:

The expression [tex](\frac{1}{4^{-3 } } )^{-2}[/tex] is less than 1.

The sign to change to make the expression greater than 1 is changing the sign of the exponential value which will make the new expression as

[tex](\frac{1}{4^{-3 } } )^{2}[/tex]

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).

In other words, an algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.)

Therefore, let's simplify the expression to know if it's equals to 1, greater than 1 or less than 1.

[tex](\frac{1}{4^{-3 } } )^{-2}[/tex]

using law of indices,

[tex](\frac{1}{4^{-3 } } )^{-2}[/tex] = 1 × [tex](4^{-3} )^{2}[/tex]

4⁻⁶  = 1 / 4⁶ = 1 / 4096

Hence,

1 / 4096 = 0.00024414062

Therefore,  the value is less than 1.

Let's change one sign to make the expression greater than 1.

Therefore, the expression will be [tex](\frac{1}{4^{-3 } } )^{2}[/tex]

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The volume of liquid contained by cone is 105 inches cube.

What is volume?

It can be defined as the total content which can be held inside a container.

Main body:

the volume of a cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]  , where r = radius and h = height of cone

diameter = 10 , so radius = d/2 = 5 inches

V = [tex]\frac{1}{3}\pi 5*5*4[/tex]

V = 3.14 *5*5*4*1/3

v≈105 inches cube

Hence the volume is 105 inches cube.

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The values of the variables as represented in the right triangle are; (8√15)/3 and s = (4√15)/3.

It follows from the task content that the values of the variables in the right triangle are to be determined.

It follows from trigonometric ratios that;

Sin (∆) = opposite / hypothenuse

Cos (∆) = adjacent / hypothenuse

Tan (∆) = opposite / adjacent

It therefore follows from the attached image that;

Sin (60) = 4√5 ÷ p

p = 4√5 ÷ √3/2

p = (8√15)/3.

Also;

Tan (60) = 4√5 ÷ s

s = 4√5 ÷ √3

s = (4√15)/3

Therefore, the value of the variables are; p = (8√15)/3 and s = (4√15)/3.

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Answer:

i can help but first what the questions and where are the options?

Step-by-step explanation:

Answer:

Step-by-step explanation:

She needs to sell 65 necklaces.

The probability that a single lottery has one correct number, using the hypergeometric distribution, is of:

0.4159 = 41.59%.

The probability mass function of the hypergeometric distribution is presented as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the function are listed as follows:

In the context of this problem, the values of these parameters are given as follows:

N = 40, k = 7, n = 7.

The probability that a single lottery has one correct number is P(X = 1), hence x = 1 and the calculation is as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 1) = h(1,40,7,7) = \frac{C_{7,1}C_{33,6}}{C_{40,7}} = 0.4159[/tex]

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The possible roots for the given equation are, -1,3, -1-2i, -1+2i.

What do you mean by the roots of an equation?

The values of the variable that fulfill the equation are known as the roots of a quadratic equation. In addition, they are referred to as the "solutions" or "zeroes" of the quadratic equation. For instance, x = 2 and x = 5 satisfy the quadratic equation x2 - 7x + 10 = 0 and are hence the roots of the equation.

F(x) = x4-2x2-16x-15 has a root (zero) that you should find.

Finding x values for which F(x)=0 is the goal of the Polynomial Roots Calculator method set.

A tool from the list above is the rational roots test. Only numbers x that can be represented as the quotient of two integers, or rational roots, would be found.

According to the Rational Root Theorem, P and Q are factors of the Leading Coefficient and the Trailing Constant, respectively, if a polynomial zeroes for a rational number P/Q.

The Leading Coefficient is 1 and the Trailing Constant is -15 in this instance.

The component(s) are:

1 is the Leading Coefficient, while 1 is the Trailing Constant.

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If [tex]n=25[/tex] and [tex]p=0.04[/tex], then the probability of [tex]P(X=4)[/tex] is found to be 0.001374.

What is Binomial Distribution?

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability, [tex]p[/tex]) or failure (with probability, [tex]q=1-p[/tex]).

How to Find the Probability of a Binomial Distribution?

From the given question, we have, [tex]n=25[/tex] and [tex]p=0.04[/tex]

Here, have to find the probability of [tex]P(X=4)[/tex], so [tex]k=4[/tex]

The binomial distribution formula is, [tex]P(X=k)={n \choose k}p^{k}(1-p)^{n-k}[/tex]

Substituting the given values in the above equation, we get

[tex]P(X=4)={25 \choose 4}0.04^{4}(1-0.04)^{25-4}[/tex]

[tex]\implies P(X=4)=12650 \times0.00000256\times0.4243\\\implies P(X=4)=0.001374[/tex]

Therefore, the value of [tex]P(X=4)=0.001374[/tex]

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A golf club costs $342 at retail. The markup rate is 71.4% if the golf store has increased the price by $42.

Given,

The difference in prices is  $342 - $42 = $300

So, we need to find what percentage of 42 is 300

We do this by dividing: 300/42 = 7.14

which is 71.4 %.

So, the markup is  71.4 %.

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The equation of a line u perpendicular to line t and passes through (3, -3) is  y = -2x + 3

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Line t has equation as y + 3 = 1 / 2 (x - 7).

Line u is perpendicular to line t and it passes through (3, -3).

The products of the slope of perpendicular lines is equals to negative 1.

Therefore,

m₁ m₂ = -1

1 / 2 m₂ = -1

m₂ = -2

Therefore,  the equation of the line have a slope of -2.

let's find the y-intercept using (3, -3)

-3 = -2(3) + b

b = -3 + 6

b = 3

Therefore, the equation in slope intercept form is y = -2x + 3.

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Answer:

X=-27

Step-by-step explanation:

X/-9 = 3

(-9) * X/-9  =(-9) * 3

X=(-9) * 3

X=-27

Answer:

x=-27

Step-by-step explanation:

x/-9=3

Multiply each side by -9

x=-27

That's it!

Stock used to sell for $105.81 ten years ago.

[tex]CAGR = ((\frac{EV}{BV} )^{\frac{1}{n}}-1)*100[/tex]

Here, CAGR = Compounded Annual Growth Rate = -2.3%

               EV = Ending Value = x

               BV = Beginning Value = $83.80

                  n = No. of years = 10

Putting the values in the equation,

[tex]-2.3 = ((\frac{83.80}{x} )^{\frac{1}{10}}-1)*100[/tex]

[tex]\frac{-2.3}{100} = ((\frac{83.80}{x} )^{\frac{1}{10}}-1)[/tex]

[tex]\frac{-2.3}{100}+1 = (\frac{83.80}{x} )^{\frac{1}{10}}[/tex]

[tex]\frac{100-2.3}{100}= (\frac{83.80}{x} )^{\frac{1}{10}}[/tex]

[tex]\frac{97.7}{100}= (\frac{83.80}{x} )^{\frac{1}{10}}[/tex]

[tex]0.977 = (\frac{83.80}{x} )^{\frac{1}{10}}[/tex]

[tex](0.9777)^{10} = \frac{83.80}{x}[/tex]

[tex]\frac{83.80}{x}=0.792[/tex]

[tex]x = \frac{83.80}{0.792}[/tex]

x = 105.81

Hence, the beginning value is $105.81.

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Answer:

3

Step-by-step explanation:

y-intercept = b

The slope-intercept = y=mx+b

y=-2/5x+3

m=-2/5

b=3

If the equation was something like y=-2x-3, then the b would be -3 because you are subtracting 3.