Algebraically solve for x: 7/2x-2/x+1=1/4

Answer:

5°C

Step-by-step explanation:

hope this helps, i used your formula :D

Triangle xyz, z=61 degree, its nearest length If leg an is the missing side and xz=17.3 cm and xy=15.2 cm,

then change the equation to its original form when an is on one side and calculate the square root: a = √(c² - b²)

Leg b is undetermined if. For a missing hypotenuse c, the formula is b = (c2 - a2). c = √(a² + b²)

How do you calculate a triangle's third side?

Different Methods to Determine a Triangle's Third Side?

Use the Pythagorean Theorem while forming a right triangle. Use the isosceles triangle area formula to determine the area of a triangle. Use the law of cosines or the law of sines if you are familiar with some of the angles and other side lengths.

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Answer:

8.5 cm

Step-by-step explanation:

See attached worksheet.

Opposite 63 is ML (we are not after that)

Adjacent is MN

Hypotenuse is 18.8

Choose adjacent + Hypotenuse to find MN

AH - CAH, cos

Cos63 = A/18.8

x18. 8

18.8 x Cos63 = A

8.535.... = A

So, MN = 8.5cm

Ans: C

Hope this helps!

May's total profit given the revenue, fixed cost and variable cost is $250.

Profit is when the difference between revenue and total cost is positive. A loss is earned when the difference between revenue and total cost is negative.

Total cost is the sum of fixed cost and variable cost. Fixed cost is the cost that remains constant regardless of the level of output. Variable cost changes based on the level of output.

Total cost = variable cost + fixed cost

$9,000 + $300 = $9,300

Profit = revenue - total cost

$9,950 - $9,300 = $250

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The unit rate of gallon to mile is calculated as: 5/6 gallon per mile.

The unit rate between two variables is simply the ratio of the quantity of one variable to the quantity of the other variable, such that the the denominator of the will be equal to exactly 1.

We are given the variables gallons and miles, where 1/4 of a gallon is to 3/10 mile.

The unit rate between these two variables would be an amount of gallons per mile.

Thus, find the unit rate by dividing 1/4 by 3/10:

1/4 ÷ 3/10

= 1/4 × 10/3

= 10/12

= 5/6

The unit rate is therefore, 5/6 gallon per mile.

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The solution of the equation is as follows;

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The expression can be solved as follows:

b / 27 = - 3

cross multiply

b = -3 × 27

b = - 81

42 = v + 35

subtract 35 from both sides of the equations.

42  - 35 = v + 35 - 35

v = 42 - 35

v = 7

- 128 = 4x

divide both sides of the equations by 4

4x / 4 = - 128 / 4

x = - 32

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Answer:

Step-by-step explanation:

1) b/27 = -3, then b = ?

→ b/27 = -3

→ b = -3 × 27

→ [ b = -81 ]

Thus, value of b is -81.

2) 42 = v + 35, then v = ?

→ v + 35 = 42

→ v = 42 - 35

→ [ v = 7 ]

Thus, value of v is 7.

3) -128 = 4x, then x = ?

→ 4x = -128

→ x = -128/4

→ [ x = -32 ]

Thus, value of x is -32.

Answer:

The slope is 2

Step-by-step explanation:

Take any two points on the line.  I am going to use the points (0,-8) and (4,0)  Points are in the form (x,y)  The y values form the two points is 0 and -8.  The x values are 4 and 0.

The slope is the change in y over the change in x.

[tex]\frac{0- -8}{4-0}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Using complementary angles, the numerical value of the given expression is as follows:

2.

Complementary angles are angles whose sum of the measures is of 90º.

The relevance of complementary angles in the context of this problem is that if a and b are complementary angles, then the sine of one angle is the cosine of the other angle, as follows:

sin(a) = cos(b).

Considering the angles of 40º and 50º in this problem, we have that:

Hence these following simplifications are applied:

Then the numerical value of the expression is given as follows:

1/1 + sin²(40º) + cos²(40º) = 1 + 1 = 2.

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Y'=33.67+0.54*X' .

For married couples in their early 20s, the regression equation and the prediction of a husband's height. In statistics, a regression equation is used to determine whether or not there is a link between two sets of data.

In statistics, a regression equation is used to determine whether or not there is a link between two sets of data. For instance, you might discover that a child grows roughly 3 inches a year if you measure their height each year. A regression equation can be used to model the three-inch growth tendency.

Detailed explanation:

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Answer:

they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B

4x ^ 2

2

- 6 it is not known because it is poorly written.

Step-by-step explanation:

Which of the following is NOT an expression?

A   3x + 1  (expression)

B  4x^2 2- 6 (unknow)

C) 5b (expeession)

D) 6y + 1z = 7x - 3w    (Equation)

Answer: 11

Step-by-step explanation:

[tex]A-B=\{2\}[/tex].

Since there is 1 element in this set, the answer is 1.

The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

or

Put the values in the equation to get the value of 'a'.

or

hence, the value of a is 1/2.

Length =9 , second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

L= 4 + W

Area is 45, so

L times W = 45

substituting the value of L, we get (4+W)*W=45, after simplifying this we get

4W+W2=45

W2+4W-45=0, this is a quadratic equation and after solving this we get the factors 9 and -5

( W+9) and (W-5) = 0

we get W=-9 or W=5, since width cannot be negative, so width = 5

substituting the value of W=5 in L = 4 +5, we get length = 9

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Second-order polynomial equation in one variable, length = 9. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

A quadratic equation, or second-order polynomial equation with a single variable, is x ax2 + bx + c = 0. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution. The solution might be straightforward or difficult.

L= 4 + W

Since the area is 45, L times W = 45. Substituting the value of L, we get (4+W)*W=45. Simplifying this, we get 4W+W2=45. W2+4W-45. = 0. This is a quadratic equation, and after solving it, we get the factors 9 and -5. Since width cannot be negative, we get W=-9 or W=5. Substituting the value of W=5 in L = 4 + 5,

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Analyze each plan according to the given specifications.

Plan A:

The basic fee must be added to the product of 0.13 and the average messages sent.

Plan B:

It already includes the cost for unlimited messages.

Plan C:

The plan costs the product of 0.28 and the average messages sent.

When comparing these plans, the cheapest one is Plan B, which only costs $53.00.

Answer:

Step-by-step explanation:

The common ratio of the following sequence is:

If the common ratio is less than 1 or greater than -1 but not 0, we can use the following expression to determine the sum of the infinite geometric series:

Therefore, if we have a common ratio of 3/8 or 0.375 and the first term of the series is 3/2.

The sum would be:

Trenton’s scouting group make 15 purple T-shirts.

Suppose a number is 'a'. Suppose another number is 'b'. We want to know how much percent of 'b' is 'a'. Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

We have been given that Trenton’s scouting group made 100 T-shirts for a charity fundraiser.

Also the angle measure of the section for purple is 54°, then;

54 / 360 = percent /100

percent = 15

Therefore, 15 percent of 100 T shirt would be;

15/100 x 100

15

Hence, Trenton’s scouting group make 15 purple T-shirts.

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Let's call X the cost of one bunch of roses and Y the cost of one palm.

Then, the first order was for 13 bunches of roses and 4 palms, totaling $487, so:

13X + 4Y = 487

Additionally, the second order was for 6 bunches of roses and 2 palms, totaling $232, so:

6X + 2Y = 232

Then, solving for Y on the first equation, we get:

Replacing on the second and solving for X, we get:

Then, we can replace the value of X and calculated the value of Y as:

Answer: The cost of one bunch of roses is $23 and the cost of one palm is $47

Same age

See explanation below

Let the age of Jasmine = y

Multiplying Jasmine age by 3 and adding 6:

= (y × 3) + 6

= 3y + 6

Multiplyng the sum by 2:

2 × the sum = 2 × (3y + 6)

= 6y + 12

Let James age = z

Multiplying the age by 2 and adding 4:

James age × 2 = z × 2 = 2z

adding 4 = 2z + 4

Multiplying the sum y 3:

3 × the sum = 3 × (2z + 4)

= 6z + 12

Now since they are twins, they ae most likely same age

This means:

6y + 12 = 6z + 12

subtracting 12 from both sides:

6y = 6z

dividing both sides by 6:

y = z

Hence, Jasmine age is the same as James age

B) The expression for Jasmine = 2(3y + 6) = 6y + 12

The expression for James = 3(2z + 4) = 6z + 12

let the twin's age = 2, 3, 4, 5

when twin's age = 2

6y + 12 = 6(2) + 12 = 12 + 12 = 24

6z + 12 = 6(2) + 12 = 12 + 12 = 24

when twin's age = 3

6y + 12 = 6(3) + 12 = 18 + 12 = 30

6z + 12 = 6(3) + 12 = 18 + 12 = 30

when twin's age = 4

6y + 12 = 6(4) + 12 = 24 + 12 = 36

6z + 12 = 6(4) + 12 = 24 + 12 = 36

when twin's age = 5

6y + 12 = 6(5) + 12 = 30 + 12 = 42

6z + 12 = 6(5) + 12 = 30 + 12 = 42

Plotting the table:

Answer:

y = -4

Explanation:

Given the equation:

Thus, the number is -4.

A figure that shows line z intersecting plane R at point M could be like:

The plane is black, the line is red and the point is blue.

The shaded amount can be express as a single fraction and mixed fraction below

Answer:

[tex]x = 2 \pm \frac12\sqrt7[/tex]

Step-by-step explanation:

Hello!

Expand the left-hand side of the equation:

Create the Equation:

The roots of the equation are [tex]x = 2 \pm \frac12\sqrt7[/tex]

Answer: [tex]50^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle FDE=25^{\circ}+25^{\circ}=50^{\circ}[/tex]

1st , 3rd & 5th choices

Step-by-step explanation:

perpendicular line would have a slope that is a

negative reciprocal

so if the slope is 3 then a perpendicular line would have a slope of -1/3

y - 1 = 1/3 (x + 2)

make the line look like y = mx + b

y = 1/3 (x + 2) + 1

y = 1/3 (x + 2) + 3/3

y = 1/3x + 2/3 + 3/3

y = 1/3x + 5/3

m = 1/3

perpendicular line has a slope of

m = -3

Answer:

6+4,8-6, 4x2,8-2

Step-by-step explanation:

16 bit strings of length five either start with two zeros or end with two zeros are there; 32 bit strings of length six either do not start with two zeros or do not end with two zeros are there; 16 bit strings of length seven either start with four ones or end with four ones are there and 256

bit strings of length eight do not start with a one or do not end with a one are there.

A string is a combination which is made up of only two characters, either 1 or 0.

So, the combinations of the string can be found,

If the length of the bit string is 5, it means it will have 5 characters.

If this string either start with two zeroes or end with two zeroes. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2)

= 16

16 such bit strings are possible.

If the length of the bit string is 6, it means it will have 6 characters.

If this string either do not start with two zeroes or do not end with two zeroes. It mean there are only four positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2×2)

= 32

So, 32 such strings are possible.

Now, If the length of the bit string is 7, it means it will have 7 characters.

If this string either start with four ones or end with four ones. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×1×1×2×2×2)

= 16

So, 16 such strings are possible.

If the length of the bit string is 8, it means it will have 8 characters.

If this string either do not start with one and do not end with one. It mean there are only seven positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×2×2×2×2×2×2×2)

= 256

So, 256 such strings are possible.

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