What number is 21% more than 5/11?

To decide whether to write a as a fraction or b as a decimal in the expression ax+bx, consider the context of the problem. If dealing with measurements or real-life quantities, write a as a decimal. If dealing with parts of a whole or ratios, write b as a fraction.

In the expression ax+bx, a is a decimal and b is a fraction. To decide whether to write a as a fraction or b as a decimal, you can consider the context of the problem or the specific instructions. If the problem involves measurements or real-life quantities, it is more appropriate to write a as a decimal. On the other hand, if the problem deals with parts of a whole or ratios, it is more appropriate to write b as a fraction.

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Whether you write 'a' as a fraction or 'b' as a decimal in the expression ax+bx depends on the context of the problem you're solving. 'a' can be converted to a fraction by expressing the decimal in fractional terms, whereas 'b' can be turned into a decimal by dividing the numerator by the denominator.

In the expression ax+bx, where 'a' is a decimal and 'b' is a fraction, deciding whether to write 'a' as a fraction or 'b' as a decimal depends largely on the problem you're solving and what format is most convenient or understandable. To convert 'a' from a decimal to a fraction, you can write the decimal in fractional form. If the denominator is not 100, convert it to a fraction with a denominator of 100, which then allows you to present it as a percentage. On the other hand, to convert 'b' from a fraction to a decimal, you can simply divide the numerator of the fraction by the denominator.

A practical example could be if a=0.5 and b=3/4 in the expression. Here, you can write 'a' as 1/2 (a fraction) and 'b' as 0.75 (a decimal). Therefore, the expression becomes 1/2x + 0.75x.

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Answer: -8y-27

Step-by-step explanation: Simplify the expression.

Hope this helps you out.

Answer:

-8y-27.

Step-by-step explanation:

3(-2y-9)-2y

= 3*-2y+3*-9 -2y

= -6y-27-2y

= -8y-27.

Ahmed could have gained 61 rupees more, if had given had given in compound interest.

Solution:

Given that Ahmed lent amir Rs8000 at simple interest for 3 years at the rate of 5% per annum

Simple Interest calculation:

Principal = 8000

Rate of interest = 5%

Time = 3

Formula:

[tex]S.I=\frac{p\times n\times r}{100}[/tex]

Where , "p" is the principal and "n" is the number of years and "r" is the rate of interest

Substituting the values in formula,

[tex]S.I = \frac{8000 \times 3 \times 5}{100}\\\\S.I = 80 \times 3 \times 5 = 240 \times 5\\\\S.I = 1200[/tex]

Compound Interest calculation:

Principal = 8000

Rate of interest = 5% compounded annually

Time = 3

Formula:

[tex]C.I=P(1+\frac{R}{100})^n-P[/tex]

Substituting the values in formula,

[tex]\Rightarrow C.I=8000(1+\frac{5}{100})^3-8000\\\\\Rightarrow C.I=9261-8000\\\\\Rightarrow C.I=1261[/tex]

Therefore, the difference between the interests:

1261 - 1200 = 61

Thus he could have gained 61 rupees more, if had given had given in compound interest.

Answer:

[tex]3\frac{3}{4}\ \frac{yd^2}{h}[/tex]

or

[tex]3.75\ \frac{yd^2}{h}[/tex]

Step-by-step explanation:

we know that

To find out the unit rate, divide the total square yards by the total time in hours

so

[tex]\frac{(5/4)}{(1/3)}=\frac{15}{4}\ \frac{yd^2}{h}[/tex]

Convert to mixed number

[tex]\frac{15}{4}\ \frac{yd^2}{h}=\frac{12}{4}+\frac{3}{4}=3\frac{3}{4}\ \frac{yd^2}{h}[/tex]

or

[tex]3.75\ \frac{yd^2}{h}[/tex]

Answer:

-81

Step-by-step explanation:

Answer:

1/81

Step-by-step explanation:

Okay I will just keep it in terms of pi to make it more pretty.

area = 1/4π(8²) = 16π

answer: 16π

Answer : The area of the shape is, 50.24 unit square.

Step-by-step explanation :

To calculate the the area of shaded sector in the circle in degree, the formula used as:

[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]

where,

A = area of sector

[tex]\theta[/tex] = angle = 90°

r = radius of circle = 8 unit

Now put all the given values in the above formula, we get:

[tex]A=\frac{90}{360}\times 3.14\times (8)^2[/tex]

[tex]A=50.24[/tex]

Therefore, the area of the shape is, 50.24 unit square.

Answer:

Part 1: 100

Part 2: 29.19 (Rounded)

Part 3: 20.96 (Rounded)

Step-by-step explanation:

Part 1: Triangle Sum Theorem (All angles of a triangle add up to 180 degrees)

45 + 35 + A = 180

80 + A = 180

Move the constant to the other side

80 + A = 180

-80          -80

A = 80°

Part 2: Law of sines

[tex]\frac{a}{sin(100)} = \frac{17}{sin(35)}[/tex]

Cross multiplication

sin(35)a = 16.7417318

Divide both sides by sin(35)

a = 29.18831866

Part 3: Law of cosines

[tex]b=29.19^{2}+17^{2}-2*29.19*17*cos(45)[/tex] = 439.2809039

Square root the answer

[tex]\sqrt{439.2809039}[/tex] =20.95902917

The value of angle A is 100 degrees and the measure of side a is 29.2 and b is 20.96.

A triangle is a polygon with three sides, angles, and vertices.

The triangle ABC, has AB = 17, angle ABC = 45 degree, angle ACB = 35 degree.

The measure of angle A can be determined by using the angle sum property.

45 + 35 + A = 180

80 + A = 180

A = 180-80

A = 100 degree.

Using the law of sines to find the length of side a,

a/ sin A = b/ sin B = c/sin C

a/ sin100 = 17/ sin 35

a = 17 * sin 100 / sin35

a = 29.2

Use the law of cosines to find the length of side b.

b² = c² +a² -2ac cos B

b² = (17)² + (29.2)² - 2* 17* 29.2 cos 45

b² = 439.23

b = 20.96

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Answer:

ax^2+bx+c=0

Step-by-step explanation:

hope this helps

Answer:

[see picture]

Step-by-step explanation:

The formula shown in the picture is the quadratic formula.

When:

[tex]ax^2+bx+c=0[/tex]

a, b, c ≠ 0

x = unknown

According to Newton's Third Law of Motion, the force exerted by the door on the person who kicks it, is equal and opposite to the force the person exerts on the door, i.e., 48 Newtons.

The question asks about the force exerted by a door on a person if the person kicks the door with a certain force. This scenario illustrates Newton's Third Law of Motion, which states: 'For every action, there is an equal and opposite reaction.' So, if the person exerts a force of 48 Newtons on the door, then the door will exert an equal and opposite force of 48 Newtons on the person. Therefore, the answer is A. 48 N.

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Answer:

C. 2/3

Step-by-step explanation:

12 female / 18 male

Dividing by 6 we get:

2 female / 3 male

or 2/3

Answer:

C.2/3

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

Answer:

All numbers are divisible by 1

Step-by-step explanation:

There are no illustrations, so it is impossible to answer this question. I apologise.

Answer:

The Area of square pyramid is 36 + 36[tex]\sqrt{5}[/tex] .

Step-by-step explanation:

Given as :

For A square pyramid

The measure of each base side = b = 6 feet

The height of the pyramid = h = 6 feet

Let The Total area of pyramid = A square feet

Now, According to question

The area of square pyramid

Area = b² + 2 × b [tex]\sqrt{\frac{b^{2} }{4}+h^{2}  }[/tex]

Where b is the square base edge

And h is the pyramid height

I.e A = 6² + 2 × 6 [tex]\sqrt{\frac{6^{2} }{4}+6^{2}  }[/tex]

Or, A = 36 + 12 × [tex]\sqrt{\frac{36 }{4}+36  }[/tex]

Or, A = 36 + 12 × [tex]\sqrt{9+36}[/tex]

Or, A = 36 + 12 × [tex]\sqrt{45}[/tex]

Or, A = 36 + 12 × 3[tex]\sqrt{5}[/tex]

Or, A = 36 + 36[tex]\sqrt{5}[/tex]

So,The Area of square pyramid = A = 36 + 36[tex]\sqrt{5}[/tex]

Hence, The Area of square pyramid is 36 + 36[tex]\sqrt{5}[/tex] . Answer

Answer: C

Step-by-step explanation:

The molecule modeled is [tex]CH_3-CH_3-C-CH_3-CH_2-COOH[/tex] or [tex]{\text} C_6H_{12}O_6[/tex].

Thus, option (C) is correct.

A chemical formula is a concise representation of the composition of a chemical compound. It uses symbols and subscripts to denote the types and numbers of atoms present in the compound.

Chemical formulas are used to describe the ratio of elements in a compound and give valuable information about its constituents.

In the given compound,

Number of Hydrogen = 12

Number of Carbon= 6

Number of Oxygen = 2

Also, there is Carboxylic function group in chain "COOH".

Therefore, the compound name is [tex]CH_3-CH_3-C-CH_3-CH_2-COOH[/tex] or [tex]{\text} C_6H_{12}O_6[/tex].

Thus, option (C) is correct.

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Answer:

Two intersecting lines that form right angles (90 degree angles). All perpendicular line intersections will form .

Step-by-step explanation:

Answer: 90° angle

Step-by-step explanation: In the image provided, you can see that the 2 lines cross at a point so they're intersecting lines. However, notice the box that is used at the point where the lines meet. This box means that the lines meet at a 90° angle or a right angle and 2 lines that intersect at a right angle are called perpendicular lines which means that the lines are perpendicular.

Answer:

Step-by-step explanation:

construct the graph with the following points.

x=0

y= -2(0)+4

y= 4

(0,4)

x=2

y=-2(2)+4

y=0

(2,0)

join these two points with a straight line.

feel free to ask any questions

Answer:

D) Implement better procedures at the security gate.

Step-by-step explanation:

Answers:

x = 6

y = 6*sqrt(2)

=======================

Explanation:

To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios

tan(45) = 1

tan(angle) = opposite/adjacent

tan(45) = x/6

1 = x/6

6*1 = x

x = 6

-------

sin(45) = 1/sqrt(2)

sin(angle) = opposite/hypotenuse

sin(45) = 6/y

1/sqrt(2) = 6/y

1*y = sqrt(2)*6

y = 6*sqrt(2)

Answer:

-2x+8

Step-by-step explanation:

Answer:

y=-19.2

Step-by-step explanation:

6.4(-3)=-19.2

For this case we have that by definition, the equation of a line in its standard form is given by:

[tex]ax + by = c[/tex]

We have the following equation in the slope-intersection form:

[tex]y = -3x + 2[/tex]

Where:

-3: It's the slope

2: It is the cut-off point with the y axis.

We manipulate algebraically:

Adding 3x to both sides of the equation we have:

[tex]y + 3x = 2\\3x + y = 2[/tex]

Thus, the correct option is option B.

Answer:

Option B

Answer:

$32.50

Step-by-step explanation:

Just divide $65 by 2 and you get $32.5(0).

Juan spent $32.50 on the 2 tires.

You are very welcome!

The cost of two tires = 65 - cots of tuned up.

And we need the cost of two tires.

Subtraction is a mathematic operation. Which is used to remove terms or objects in an expression.

Given:

Juan bought two new tires for his bike.

He also had the bike tuned up.

The total bill was $65.

To find the cost of two tires:

The cost of two tires = 65 - cots of tuned up.

Therefore, we need the value of missing information.

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The complete question:

Draw a Conclusion: Juan bought two new tires for his bike. He also had the bikec tuned up. The total bill was $65. How much did Juan spend on the 2 tires?

Answer:Its C

Step-by-step explanation:

ED 2023

The correct answer is provided by the third system.

To determine which system of linear inequalities includes the point (2, 1), we need to substitute this point into each inequality and check if the inequalities hold true. Let's evaluate each system step-by-step:

System 1

Evaluating at (2, 1):

The point (2, 1) does not satisfy the first inequality, so it is not in the solution set for the first system.

System 2

Evaluating at (2, 1):

The point (2, 1) does not satisfy the second inequality, so it is not in the solution set for this system either.

System 3

Evaluating at (2, 1):

The point (2, 1) satisfies both inequalities, so it is in the solution set for the third system.

System 4

Evaluating at (2, 1):

The point (2, 1) does not satisfy the first inequality, so it is not in the solution set for the fourth system.

The system of linear inequalities that includes the point (2, 1) is the third one: y [tex]\leq[/tex] -x + 3, and y [tex]\leq[/tex] 0.5x + 2.

Answer:

The value of x in terms of b is (-3/b)

The value of x when b is 3 is -1

===============================

Step-by-step explanation:

The given function is :

-2 (bx - 5) = 16

Divide both sides by 2

bx - 5 = 16/(-2) = -8

Add 5 to both sides

bx = -8 + 5 = -3

Divide both sides by (b)

∴ x = -3/b

∴ The value of x in terms of b is (-3/b)

When b = 3 ⇒ ∴ x = -3/b = -3/3 = -1

Answer:

Total number of milkshakes sold on Monday = 300

Number of milkshakes without whipped cream = 90

Step-by-step explanation:

Given:

Adrienne adds whipped cream to 210 milk shakes which is 70% of the total milk shakes sold.

To find the total milkshakes sold.

Solution:

Let the total number of milkshakes sold on Monday be = [tex]x[/tex]

Percentage of milkshakes with whipped cream added to them = 70%

Number of milk shakes with added whipped cream can be given as:

⇒ [tex]70\% \textrm{ of the total number of milkshakes}[/tex]

⇒ [tex]70\% x[/tex]

⇒ [tex]\frac{70}{100}x[/tex]  [Representing percent in fraction form]

⇒ [tex]0.7x[/tex]  [evaluating in decimals]

We know that the number of milkshakes with whipped cream added to them = 210.

So, we have:

[tex]0.7x=210[/tex]

Solving for [tex]x[/tex]

Dividing both sides by  0.7

[tex]\frac{0.7x}{0.7}=\frac{210}{0.7}[/tex]

∴ [tex]x=300[/tex]

Thus, total number of milkshakes sold on Monday = 300

Number of milkshakes without whipped cream = [tex]300-210[/tex]= 90

Answer:

To persuade, inform and entertain.

Step-by-step explanation:

You can remember it as PIE, if that helps!

Answer:

See explanation

Step-by-step explanation:

Consider triangles ABC and DEC. In these triangles,

Thus, by AAS postulate, triangles ABC and DEC are congruent. Congruent triangles have congeruent corresponding sides.

So,

[tex]BC\cong EC[/tex]

The Angle Angle Side postulate (AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

Answer:

Jaime drove for 6.127 miles.

Step-by-step explanation:

See the attached diagram.

The length from All Groceries Food store to Get Rich Savings bank along Flower street is x miles (say) and the length from Get Rich Savings bank to AAA hardware along the Broad street is 4 miles.

Since, the Flower street and Broad street are perpendicular to each other, hence,  

[tex]\tan 28 = \frac{x}{4}[/tex]

⇒ x = 4 tan 28 = 2.127 miles.

Therefore, Jaime drove for (4 + 2.127) = 6.127 miles ≈ 6.1 miles. (Answer)