Equation with one solution 8x-3x+2-x=

Equation:

5 x (2/12 + 7/12 + 7/12) = f                    f = amount of fabric needed

Solve:

10/12 + 35/12 + 35/12 = f

80/12 = f

Simplify:

6 8/12

Answer:

Tamara needs 6 ft and 8 inches of fabric to make five of each item.

The mean of the given sample data is 210, and the standard deviation is 7.937.

Given size 'n' = 300

The population proportion 'p' = 0.7

Let 'x' be the random variable of the binomial distribution

a)  mean of the binomial distribution  = n p = 300 × 0.7

                                                              μ  = 210

b)  variance of the binomial distribution

⇒ n p q

⇒ 300 × 0.7 ×0.3

⇒ σ² = 63

The standard deviation of the binomial distribution:

⇒ √n p q = √63 = 7.937

Thus, the mean of the given sample data is 210, and the standard deviation is 7.937.

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The question seems to be incomplete the correct question would be:

describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7 a) Determine the mean of the sampling distributionb) Dtermine the standard deviation of the sampling distribution

[tex]\displaystyle n=\frac{25}{2}[/tex]

A proportion is a set of equal ratios.

Cross Multiplication

The most common (and easiest) way to solve a proportion is cross multiplication. To cross-multiply, multiply the numerators by the opposite denominators. So, you are multiplying across the proportion.

After cross multiplying you get 10*10 = 8n.

Solving For n

Now, we can use algebra to find n.

Just, divide both sides by 8.

Then, simplify.

Checking The Answer

To check your answer all you have to do is plug n back into the equation.

This can be rewritten as

Then, the right side can be solved.

The solution to the inequality is m < −1 13/15 . m is less than negative 1 and 7 over 15

In this question we have to solve for the inequality that is given as m + 1/5 < -1 2/3

We would have to rewrite the equation using the math tool

[tex]m +\frac{1}{5}\leq 1\frac{2}{3}[/tex]

The mixed fraction can be properly rewritten  as improper fraction

[tex]m +\frac{1}{5}\leq \frac{5}{3}[/tex]

subtract 1/5 from 5/3

[tex]m\leq -\frac{5}{3} -\frac{1}{5}[/tex]

we have to carry out the subtraction of the fraction

[tex]m < \frac{-25-3}{15}[/tex]

[tex]m < \frac{-28}{15}[/tex]

This can be written in mixed fraction as

[tex]m < -1\frac{13}{15}[/tex]

Hence the solution of m is D. m < −1 13/15

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Complete question

m + 1/5 < -1 2/3

Responses

A. m > −1 13/15

m is greater than negative 1 and 13 over 15

B. m > −1 7/15

m is greater than negative 1 and 7 over 15

C. m < −1 7/15

m is less than negative 1 and 7 over 15

D. m < −1 13/15

m is less than negative 1 and 7 over 15

Answer: 6 years old.

Step-by-step explanation:

Chris: 5+4a

c + a<40

5 + 4a + a < 40

5a<35

a<7

For the oldest, let's assume Arin is 6, because it is the highest number that is less than 7.

Arin can be maximum of 6 years old.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Let the Arin's age be x.

So, Chris age is 4x + 5

Now, the sum of their ages is less than 40.

x+ 4x+ 5 < 40

5x < 35

x < 7

Hence, Arin can be maximum of 6 years old.

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Answer:

32 oz

Step-by-step explanation:

Given the ratio 8 ounces to 1 cup, how many ounces are in 4 cups?

4 * 8 oz = 32 oz

Answer:

try socratic

Step-by-step explanation:

Find the area of a Shaded portion.

D. 68

The slope of the given line, 3x - 5y = 15, is 3/5 and the y-intercept is -3

From the question, we are to determine the slope and y-intercept of the given line.

The given line is

3x - 5y = 15

To determine the slope, we will write the equation in the slope-intercept form of a line.

The slope-intercept form of a line is given as

y = mx + b

Where m is the slope

and b is the y-intercept

Now, we will express the given equation in this form

3x - 5y = 15

-5y = 15 - 3x

Divide through by - 5

y = -3 + 3/5x

y = 3/5x - 3

By comparing to the slope-intercept form of a line,

m = 3/5

and b = -3

Hence, the slope is 3/5 and the y-intercept is -3

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The two possible ways to find the area are -

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

We have a trapezoid.

Now, we can find the area in two ways -

[1] -

A = (1/2) × {a + b} × {h}

[2] -

A = {b x h} - (1/2) x {(b - a} x h}

Therefore, the two possible ways to find the area are -

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Answer:

Step-by-step explanation:

For the triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters is the right triangle.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that, A triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters.

We have to verify whether it is a right-angle triangle or not.

A right-angle triangle must follow the Pythagoras theorem.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

If the longest side is the hypotenuse.

h²=p²+b²

LHS

68² = 1424

RHS

60²+25²

3600+625

4225

L.H.S=R.H.S

Thus, the triangle has sides with lengths of 25 centimeters, 60 centimeters, and 68 centimeters in the right triangle.

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Answer:

4 ft

Step-by-step explanation

the combined length of the other three sides can be found with 54-6 is 48 inches

48 inches can be turned into feet by dividing by 12.

48in / 12=4ft

Answer:

y = 2(x-3)^2-2

Step-by-step explanation:

We can find the quadratic equation by using the vertex form.  The vertex form of a quadratic equation is:

[tex]y=a(x-h)^2+k[/tex], where x and y are any point on the parabola, a is the constant (indicating whether the parabola opens up or down), and h and k are the coordinates of the vertex.

Since we already have the y-int (an x and y coordinate lying on the parabola) and the vertex, we can plug in both to find a:

[tex]16=a(0-3)^2-2\\16=a(-3)^2-2\\16=9a-2\\18=9a\\2=a[/tex]

Thus, the equation is:

[tex]y=2(x-3)^2-2[/tex]

Answer:

-7-63a

Step-by-step explanation:

-7(1 + 9a)

(use the distributive property of multiplication to simplify)

-7-63a

Wdym by definition Answer:

Step-by-step explanation:

Answer:

c) Propability of rolling doubles=6

Propability of rolling a sum grrater then or equal to 8 = 15

(Together add up to 21)

d)6 ->(1,1)(1,2)(1,3)(2,1)(2,2)(3,1)

e)9 ->(1,6)(3,4)(5,2)(3,5)(5,3)(3,6)(5,4)(5,5)(5,6)

Step-by-step explanation:

xy/5

.........

....................

Answer:

The combined amount of chocolate and regular milk sold was 52 cartons.

Step-by-step explanation:

1. Divide

36 ÷ 9 = 4

(This means that the ratio has a unit rate of 4. That means):

2. Second ratio rate

4 x 4 = 16

(Because the unit rate is 4).

3. Add

(Now, we add the original 36 cartons with the 16 cartons we found because the first step was just for finding the unit rate).

36 + 16 = 52 cartons.

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The range of a function f(x)=3ˣ⁻¹-2 is (-2, ∞)

A function from a set X to a set Y in mathematics assigns to each element of X exactly one element of Y. The domain of the function is the set X, and the codomain of the function is the set Y.

The first known attempt to define function can be found in the writings of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. The concept of a function was codified in terms of set theory at the end of the nineteenth century, which substantially expanded its realms of applicability. The range of possibilities for variation or the distances between them: pricing for various grades of steel; a variety of designs. a thing's operation or action's reach or extent: accessible to the eye. a projectile's range is how far a weapon can or will shoot it.

Given,

f(x)=3ˣ⁻¹-2

Range=(-2, ∞)

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Notice that the order the numbers are written on both sides is the same:

   n, then 2.9, then 0.3

Because the order is the same and all that changed were the parentheses (the way the numbers were grouped), this is the associative property of addition.

The associative property is about the groupings.  You can remember this by thinking about that fact that associations are groups.

-3^2+(-4+7)(2)

answer = 15

Answer:

15

Step-by-step explanation:

a negative number squared is positive, so its 9 + (-4 + 7)*2. 7-4 is 3, which we then multiply by 2 to get 6. Now add that to 9 to get 15.

Hope this helps!

Answer:

Step-by-step explanation:

is times 43

The inequality for which the order pair (-5, -7) is a solution will be x + y ≤ 3. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Let's check all the options, then

A)  y ≤ (1/4)x - 1

At (-5, -7), we have

-7 ≤ (1/4)(-5) - 1

-7 ≤ -2.25

This is incorrect.

B)  x + y ≤ 3

At (-5, -7), we have

-5 + (-7) ≤ 3

-12 ≤ 3

This is correct.

The inequality for which the order pair (-5, -7) is a solution will be x + y ≤ 3. Then the correct option is B.

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The estimated salary for an employee with 7 years of experience will be;

⇒ Estimated Salary = 41,842.71

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The estimated regression equation was determined to predict salary based on years of experience is,

⇒ Estimated Salary = 22,717.59 + 2732.16(Years of Experience)

Now,

Since, The equation is,

⇒ Estimated Salary = 22,717.59 + 2732.16(Years of Experience)

Hence, The estimated salary for an employee with 7 years of experience will be;

⇒ Estimated Salary = 22,717.59 + 2732.16 × 7

⇒ Estimated Salary = 22,717.59 + 19,125.12

⇒ Estimated Salary = 41,842.71

Thus, The estimated salary for an employee with 7 years of experience will be;

⇒ Estimated Salary = 41,842.71

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Answer: The cost will be a total of $142.05. That is $125.80 for a Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.

Step-by-step explanation:

Given: Watermelons are 0.68 / lb and tomatoes are 3.25 / lb.

Let w = watermelon weight

Let t = tomato weight.

An equation would be:

.68w + 3.25t = Total cost

For 185 lb of Watermelon and 5 lbs of tomatoes:

.68(185) + 3.25(5) =

$125.80 + $16.25 = $142.05

Answer:

15:25 or 15 brownies

Step-by-step explanation:

25 / 5 = 5 (scale factor)

3 * 5 = 15

Answer: Yeah

Step-by-step explanation: Multiplication can be done in any order, so using parenthesis to denote which numbers to multiply first should not matter.

The value of the inequality equation is x ≤ 7

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

4x ≤ 28   be equation (1)

Now , on simplifying the equation , we get

Divide by 4 on both sides of the inequality equation , we get

x ≤ 7

Therefore , the value of x is less than or equal to 7

All the numbers less than or equal to 7 satisfies the condition for x

The value of the equation x ≤ 7 is shown in the graph below

Hence , The value of the inequality equation is x ≤ 7

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