Using elimination to solve the system of equations.

3x-5y=11
5(x+y)=5

Answer: unit of account

Step-by-step explanation:

I learned this in Macro Chapter 34.

Answer: 7/6

Step-by-step explanation:

1 3/4 can be written as 7/4

1 1/2 can be written as 3/2

7/4 divided by 3/2 equal 7/4 times 2/3 = 14/12 = 7/6

Answer:

The answer to this equation is x=-1

Answer:

x = -1

Step-by-step explanation:

[tex]2^{3x + 1}=\frac{1}{4}[/tex]

[tex]2^{3x+1} = \frac{1}{2^{2} }[/tex]

[tex]2^{3x+1} =2^{-2}[/tex]

[tex]3x+1 = -2\\3x = -2 -1\\3x = -3\\x =\frac{-3}{3} \\x = -1[/tex]

Yes , the confidence interval still valid because the sample size is large ( n = 100 is greater than 30 ).

Given :

Monica delivers pizza. She takes a simple random sample of 100 of her deliveries from the first 11 months of 2020 and finds that her tips average $3.66 with an SD of $2.19.The 90% confidence interval for Monica’s average tip size for these months has the form A + - B * C .

if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid .

Here

sample size n = 100

The sample size is a term used in market research for defining the number of subjects included in a sample size.

here

n > 30

Hence the confidence interval is still valid .

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Full question:

Monica delivers pizza. She takes a simple random sample of 100 of her deliveries from the first 11 months of 2020 and finds that her tips average $3.66 with an SD of $2.19.The 90% confidence interval for Monica’s average tip size for these months has the form A + - B * C .

if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid?

Answer: Ariana uses 85% drink mix, and Andres uses 90% drink mix. Therefore, Andres's drink will taste more lemony.

Step-by-step explanation:

Ariana uses 17 cups of mix out of the 20 total cups which is 85%

Andres uses 10 cups of mix out of the 11 total cups which is around 90%

Answer:

Step-by-step explanation:

You want the percent of powdered lemon mix in two recipes:

The desired percent can be found from ...

  (lemon mix)/(water + lemon mix) × 100%

For Ariana, this is ...

  17/(3 +17) × 100% = 17/20 × 100% = 85%

For Andres, this is ...

  10/(1 +10) × 100% = 10/11 × 100% ≈ 91%

__

Additional comment

There aren't many powders that will dissolve 10 cups of powder in 1 cup of water. Even if there were, the resulting combination would not have a volume of 11 cups. This might be a mildly interesting math problem, but it has little relevance to any real-world lemonade recipe.

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None of the option are correct for the solution to inequality.

For the given inequality:

4 > 102/z + 11

Subtract both side by 11

4 - 11 > 102/z + 11 - 11

-7 > 102/z

Divide both sides by 102

-7/102 > 1/z

Taking reciprocal of each;

z < -102/7

z < -14.5

Thus, none of the option are correct for the solution to the inequality.

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Answer: 6.1

Step-by-step explanation:

The sine rule states that the length of one side of a triangle divided by the sine of the angle opposing the side will be equal to the length of the other side divided by the sine of its opposing angle and the same for the last side.

This means [tex]\frac{14}{sin (90)}[/tex] = [tex]\frac{x}{sin(180-90-64)}[/tex]

14 = [tex]\frac{x}{sin(26)}[/tex]

x = 14sin(26) ≈ 6.1

Answer: 4t+109.99=347.95

Step-by-step explanation:

Answer: -20<12<=2

Step-by-step explanation:

First, you simplify the expression.

-20<2*6<=2

And then perform any multiplication or division, from left to right...

-20<2*6<=2

-20<12<=2

And there you have it!

I hope this helped!

Have a great rest of your day and Merry Christmas (and Happy New Year)!

The number of jars that are fully filled is 5 and one jar filled partially is 8 out of 23 parts.

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.

Song has 123 pounds of beans. She fills containers by placing 23 pounds of beans into each container.

⇒ 123 / 23

⇒ 5 ⁸/₂₃

The number of jars that are fully filled is 5 and one jar filled partially is 8 out of 23 parts.

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Answer: x ≤ -2

Option C is correct

Answer:

x ≤ -2 then it is C) -2

Step-by-step explanation:

7 ≤ −2x + 3

2x+7 ≤ + 3

2x ≤ 3-7

2x ≤ -4

x ≤ -4/2

x ≤ -2

The required expression will be 2/x+15 as the problem says "the sum of 2 divided by x and 15".

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

Here,

2 divided by x,

=2/x

sum of 2/x and 15,

2/x+15

The conclusion is "the sum of 2 divided by x and 15," hence the necessary equation will be "2/x+15."

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There are 135 complete revolutions each wheel of his bike will make.

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 track has two straight sides each of length 40m. Each end of the track is a semicircle of radius 27m. The diameter of each wheel of Ian’s bike is 590mm.

Now,

The circumference of the wheel of Lan's bike = π × 590 mm

                                                                       = 0.59 π m

And, The perimeter of the cycle track is;

⇒ 40 × 2 + 2π × 27 = 80 + 54π

So, The number of complete revolutions each wheel of his bike will make is ;

⇒ (80 + 54π) ÷ 0.59π

⇒ 135

Thus, There are 135 complete revolutions each wheel of his bike will make.

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Answer: 134

I got this question wrong in some work, the answer is 134.

The point-slope form with a slope of 5/2 and a point of (4,-7) is 5x-2y=34.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

The slope of line perpendicular to the line y +6=-2/5(x-1)

m1=5/2

point=(4,-7)

y-y1=m(x-x1)

y+7=5/2(x-4)

2y+14=5x-20

5x-2y=34

The point-slope form for slope given as 5/2 and point as (4,-7) will be 5x-2y=34.

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The number of floors of windows that the window cleaner cleans will be 10.

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.

A window cleaner has cleaned 467 windows of a high rise. He cleans some more. Presently there are 967 clean windows. Each floor of the high rise has 100 windows.

The number of floors of windows that the window cleaner cleans will be given as,

⇒ 967 / 100

⇒ 9.67

⇒ 10 floors

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The slope that needs to be programmed into the computer to accomplish the delivery is x=3441/100.

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras theorem in mathematics. It is believed that the area of the square with the hypotenuse equals the sum of the areas of the squares on the other two sides.

Pythagoras, a Greek philosopher who was born around 570 BC, is honored in the name of the theorem. Perhaps more than any other mathematical theorem, the theorem has been demonstrated several times using a variety of techniques. There are many different types of proofs, some of which go back thousands of years, including both geometric proofs and algebraic proofs.

By using Pythagorean theorem,

x²=20²+28²

x²=400+784

x²=1184

x=34.41

x=3441/100

Therefore, the slope that needs to be programmed into the computer to accomplish the delivery is x=3441/100.

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The Elimination equations: 3s = 33, s = 11.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

5s+3t=30

-1(2s+3t=-3)

which will eventually

5s+3t=30

-2s-3t=3

which then becomes

3s = 33, s=11

Hence, The Elimination equations: 3s = 33, s = 11.

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The fourth degree polynomial in factor form is p(x) = (x - 8) · (x + 8) · (x - i 8) · (x + i 8), whose standard form is p(x) = x⁴ - 4096.

In this problem we must determine the equation of a polynomial such that it contains the roots 8, - 8, i 8 and - i 8. This can be done by using the definition of a polynomial in factor form:

p(x) = a · Π (x - rₙ), for n = {1, 2, 3, ..., m - 1, m}

Where:

And modify the expression by algebra properties until standard form is found. First, substitute the roots:

p(x) = (x - 8) · (x + 8) · (x - i 8) · (x + i 8)

Second, expand the expression by algebra properties:

p(x) = (x² - 64) · (x² - i² 64)

p(x) = (x² - 64) · (x² + 64)

p(x) = (x² - 64) · x² + (x² - 64) · 64

p(x) = x⁴ - 64 · x² + 64 · x² - 4096

p(x) = x⁴ - 4096

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The line shows the solution of 3x−2<2x+1 by solving the inequality.

An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is done in an unfair manner. On the number line, it is most typically used to compare the sizes of two numbers. With one significant exception, inequalities can be resolved in the same manner as equations by applying the same steps to both sides until the variable has been identified. If you multiply or divide by a negative number, you must flip the inequality sign.

A and b are not equal in either situation. These interactions are recognized as robust inequalities.

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3 or x∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the line shows the solution of 3x−2<2x+1.

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Answer:

The answer is 45

Step-by-step explanation:

the way to find this answer is by, first, knowing that each angle of a triangle adds up to 180. So, we must first add the 85 and 50 which will give us 135. After, you subtract it all from 180, which gives you 45.

In the triangle, the value of x is,

⇒ x = 45°

We have to given that;

In triangle;

The angles are 85 degree, 50 degree and x.

Since, We know that;

Sum of all interior angle of a triangle are 180 degree.

Hence, We get;

⇒ x + 85 + 50 = 180

⇒ x + 135 = 180

⇒ x = 180 - 135

⇒ x = 45°

Thus, the value of x is,

⇒ x = 45°

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Since the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

Since the angles are formed by cutting the parallel line the angle formed as,

15x-6 = 114

15x=114+6

15x=120

x=120/15

x=8

Thus. if the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.

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The no: of packages Chelea wrapped is 24

The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.

a single state. This has an identity element in math, in an algebra. Whose inverse is equivalent to its adjoint (in mathematics, linear algebra, the mathematical study of a matrix or operator).

According to the given question

For every 8 packages the no: of roll used is 1/2

If the person used three 1/2 rolls

the no of packages he wrapped are 3*8

=24

The total no: of packages are are 24

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At 55 seconds , both the plane A and plane B will have same altitude.

According to the question,

The altitude of plane A = 1500m

The altitude of plane B = 1115m

Altitude plane A gained = 19m/s

Altitude plane B gained = 26m/s

Let "x" be the number of second

Let the equation of plan A and plane B is

a(x) = m₁ x + 1500

b(x) = m₂ x + 1115

We know how fast they are gaining altitude. The are the m values

m₁ = 19

m₂ = 26

So, now we have

a(x) = 19 x + 1500

b(x) = 26 x + 1115

So , to have same altitude ,

a(x) = b(x)

=> 19 x + 1500 = 26 x + 1115

Solving for x,

=> 26x-19x = 1500 - 1115

=> 17x = 385

=> x = 55 seconds

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The remaining zero of the polynomial 4x³ + 10x² - 6x - 20 is the quotient 4x² + 2x - 10 derived using synthetic division.

The polynomial p(x) = 4x³ + 10x² - 6x - 20 having a zero x = -2 implies that x + 2 is a factor and has another factor derived by dividing p(x) = 4x³ + 10x² - 6x - 20 by x + 2.

we shall derive the other factor using the synthetic division as follows;

divide the first term 4x³ of the polynomial by x (of x + 2) to give 4x²,

multiply x + 2 by 4x² to give 4x³ + 8x²

then subtract 4x³ + 8x² from 4x³ + 10x² - 6x - 20 to give 2x² - 6x - 20

divide 2x² (of 2x² - 6x - 20) by x (of x + 2) to give 2x

multiply x + 2 by 2x to give 2x² + 4x

then subtract 2x² + 4x from 2x² - 6x - 20 to give -10x - 20

divide 10x (of -10x - 20) by x (of x + 2) to give -10

multiply x + 2 by -10 to give -10x - 20

then subtract -10x - 20 from -10x - 20 to give a remainder of zero.

Hence, the results 4x², 2x, and -10 are the terms of the quotient 4x² + 2x - 10 and forms the remaining zeros of the polynomial p(x) = 4x³ + 10x² - 6x - 20.

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The speed represents the rate of the plane is 250 miles/ hour.

What is speed?

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

An object is considered to be moving at constant speed when it travels an equal distance in an equal amount of time.

When an object travels a different distance at equal intervals of time, it is said to be moving at variable speed.

Average speed is the constant speed determined by the ratio of the total distance travelled by an object to the total amount of time it took to travel that distance.

Immediately speed is When an object is travelling at a variable pace, its speed at every given moment

Speed =distance/ time taken

= 100/0.4

= 250 miles/ hour

Hence, the speed represents the rate of the plane is 250 miles/ hour.

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Answer:

y=-1

x=-5

Step-by-step explanation:

Subtract the two equations together to eliminate the 8x

1) -8x+6y=34

-8x-4y=44

2) -8x+6y=34

+8x+4y=-44

3) 10y = -10

4) y=-1

Substitute: -8x+6(-1)=34

-8x=40

x=-5

Answer: The cheetah travels 7499.25 further then the snail in 5 seconds

Step-by-step explanation:give brainliest