Simplify 2/3 +9-1/24

Answer:

[tex]x=\frac{1}{r} +1[/tex]

Step-by-step explanation:

[tex]r=\frac{1}{x-1}[/tex]
[tex]r(x-1)=1[/tex]
[tex]x-1=\frac{1}{r}[/tex]
[tex]x=\frac{1}{r} +1[/tex]

Answer:

[tex]x=\dfrac{1+r}{r}[/tex]

Step-by-step explanation:

Given equation:

[tex]r=\dfrac{1}{(x-1)}[/tex]

Multiply both sides by (x - 1):

[tex]\implies r(x-1)=\dfrac{1}{(x-1)} \cdot (x-1)[/tex]

[tex]\implies r(x-1)=1[/tex]

Expand the brackets:

[tex]\implies rx-r=1[/tex]

Add r to both sides:

[tex]\implies rx-r+r=1+r[/tex]

[tex]\implies rx=1+r[/tex]

Divide both sides by r:

[tex]\implies \dfrac{rx}{r}=\dfrac{1+r}{r}[/tex]

[tex]\implies x=\dfrac{1+r}{r}[/tex]

The relation between the two angles ∠a and ∠b is that they are complementary angles. The correct option is B.

The angles when added give the sum of 90 degrees and are called complementary angles. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

In the given figure it is observed that the two angles ∠a and ∠b when added give 90 degrees.

Therefore, the relation between the two angles ∠a and ∠b is that they are complementary angles. The correct option is B.

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Answer:

[tex]20000.2600[/tex]

here's the verified answer

Step-by-step explanation:

please mark me brainliest

The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.

QSUWY which is a pentagon is regular that mean:

∠QYW = 108°

The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°

Thus, ∠QTW =

180 - 108

= 72°

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.

In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

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Full Question:

See the attached image for missing details.

Answer: #1) 3. The semicircle has twice the area of the circle

#2) 3. 28.26 cm

Step-by-step explanation:

#1) The formula for area of circle is A=πr².

First, plugging in the radius for the circle, A=π(5)², we get an area of about 78.54 inches².

Plugging in the radius for the semicircle, A=π(10)², which is equal to 314.159.... However, since it is a SEMI-circle, we will divide this value by 2 to give us an area of about 157.08 inches².

Comparing the two areas, we see the semicircle has twice the area of the circle as 78.54 x 2 = 157.08.

#2) Again use the area of circle formula, A=πr². The radius is half the diameter, so half of 6cm=3cm, meaning r=3. plug it in.

A= π(3)²

A= 28.27 cm²

Answer:

2(8x - 5) = 2(6x + 3)

Step-by-step explanation:

2(8x - 5) = 2(6x + 3)

16x - 10 = 12x + 6

16x - 12x = 6 + 10

4x = 16

x = 16 / 4

x = 4

Answer:

C

Step-by-step explanation:

windows arent that big compared to 2 cities, distance between the and moon, or a height of a mountain. so i think C is the only reasonable answer

Answer:

Step-by-step explanation:

(1, 9) and (1, -9) lie on the same like cuz y indicate the right side of the coordinates and both the right side of these coordinates r 9, its different just cuz positive lies on top, and negative lies on bottom

same thing for (0,-8) and (1, 8)

please mark me brainliest if it helped

Answer:

It will affect the mean and median in a decreasing matter

Step-by-step explanation:

toodles ;)

Answer:

decreasing matter

Step-by-step explanation:

Answer:

$0.66 per cup

Step-by-step explanation:

There are 8 cups in 2 quarts, so 5.28/8 is $0.66 per cup.

Answer:

0.66

Step-by-step explanation:

8 cups are in 2 quarts so you going to count 8 cups untill you get 5.28 and then you see how many cents that it is so its 0.66

Answer:

Step-by-step explanation:Yikes. Just so we’re all clear—this is not a real SAT question.

So far, Adam’s record is 6 wins/30 games. If he plays x more games, his record will be:

image

You find the minimum x such that the fraction is greater than ½, which would mean he won more than ½ of his games.

Let’s do some math!

image

So if he plays 54 more games, and wins 2/3 of them, he’ll have the same number of wins as losses. Check on that to make sure: He’ll have played 30 + 54 = 84 games, and won 6 + (2/3)54 = 42 of them. Yep, that works.

Now here is where it gets tricky (and why this question is not SAT-caliber). Remember that he’s losing 1/3 of his games. If his 52nd, 53rd, and 54th additional games were win, win, loss, then he would have had, very briefly, a winning record after his 53rd additional game.

His 55th additional game is another chance at a winning record. If he loses that game, then he’ll win the next two, and have a winning record for sure by the 57th additional game. From there, if he continues winning 2/3 of his games, he’ll have a winning record forever.

Answer: 0.5 < x < 16.5.

Step-by-step explanation: Two sides of triangle: 8.0 units and 8.5 units

Measure of third side = x

According to the triangle's inequality,

Sum of any two sides > third side.    (i)

Difference between the sides < third side.    (ii)

If x is the third side, then

x < 8+8.5   [Using (i)]

i.e. x< 16.5  

Also, x > 8.5-8   [Using (ii)]

i.e. x> 0.5

Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.

The range of possible sizes for side x is,

⇒ 0.5 < x < 16.5

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of the triangle are 8.5 and 8.

Now, The range of possible sizes for side x is,

⇒ x < 8.5 + 8

⇒ x < 16.5

⇒ x > 8.5 - 8

⇒ x > 0.5

Thus, The range of possible sizes for side x is,

⇒ 0.5 < x < 16.5

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We have: ∠APC + ∠BPC = 180⁰ (adjacent corner)

=> ∠APC + 133⁰ = 180⁰

=> ∠APC = 180⁰ - 133⁰ = 47⁰

Beside: x = ∠BPD = ∠APC = 47⁰ (opposite corner)

ANSWER: x = 47⁰

Ok done. Thank to me :3

The value of the angle x will be equal to 47⁰.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

It is given that ∠APC + ∠BPC = 180⁰ (adjacent corner)

The angle x will be calculated as below:-

=> ∠APC + 133⁰ = 180⁰

=> ∠APC = 180⁰ - 133⁰ = 47⁰

Beside: x = ∠BPD = ∠APC = 47⁰ (opposite corner)

Therefore, the value of the angle x will be equal to 47⁰.

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Answer:

tough one

Step-by-step explanation:

sorry goodluck

Answer:

1. Ratio

2. Unit Rate

3. Scale Drawing

4. Similar Figures

5. US Customary System

6. Rate

7. Scale

Step-by-step explanation:

Most of them are just definitions

Answer: Alligators

Step-by-step explanation: This entire paper is just about combining like terms.

I won't go too in depth about it since it's self-explanatory, but I'll explain it just a bit. Like terms are two terms that have the same variable. For example, 19 and 24 are like terms since they are both numbers. 15x and 18x are like terms since they are both the same variables. 2y and 5y are like terms since they are both the same variables. However, 3x and 4y are NOT like terms, they do not have the same variable.

Also, variables that have different exponential powers are also not like terms. For example, 5x^2 and 7x are not like terms as one is squares and one is to the 1st power. Similarly, 3x^3 is not the same variable as 2x^4.

When you have 5x and -2x, you subtract 5x and 2x. Thus, the combination would be 3x. When you have -4x - 2x, you would get -6x, and if you have -4x + 2x, you would get -2x.

What you were supposed to do is simplify the equations by combining like terms, and then crossing off the letters that correspond to what you have left in the expression. The remaining letters should spell out a joke.

Attached below I have provided the correct answer.

Hope this helped.

Answer:

1. 3x+5x+14x = 22x

2. 4x+7+11x = 15x+7

3. 10x+8-3x = 7x+8

4. 6x-5+x-11 = 7x-5-11 = 7x-16

5. -8x +19 + 2 - 2x = -10x+19+2 = -10x+21

6. -x+23+4x-34-x = 2x+23-34 = 2x-11

7. 105+27x-68-19x-27+x = 9x+105-68-27 = 9x+10

8. 7x+16-3x+3-2x-2x = 0x+19 = 19

9. -18 + 6 -4x+ 10 - 11x + 2 = -15x

10. 16+4x-12x-28-6x+17+x-1 = -13x +4

Answer:

firstly it is a four number combo with no repeating numbers so it has to include 5 but if you mean it like you said it  0

Step-by-step explanation:

sry i read it wrong the first time

Answer:

ZERO probability

Step-by-step explanation:

POSSIBLE combos   4 x 3 x 2 x1  = 24 possible combos

 if it starts with 371      then the only choice for the 4th digit is 5

     but no combo can have a 5 (per question)

so there are ZERO chances of this happening

o 16 30 one

as it forms a pattern

Answer:

a. The resulting product cannot be greater than-10. (False)

b. The resulting product must be greater than 0.      (True)

c. The resulting product cannot be less than 10.       (True)

Step-by-step explanation:

Explaining Statement (a):

The integer that is given is -10,

Let it will b multiplied with another negative integers let say (-1). Starting with the smallest one in order to clarify all statement.

So, if the resultant product is represented by x, So:

                                             x = (-10)(-1)

             Using the sign Multiplication rule which is {(-)*(-)} = +

                                            x = 10

Polynomials are mathematical expressions made up of many terms.

To simplify a polynomial as much as possible, you must group all the like terms and rearrange them from higher to lower power.

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of axⁿ it's naxⁿ⁻¹.

Multiply 3 x 3.

Subtract 1 from 3.

Multiply 2 by −12.

Subtract 1 from 2 and subtract 1 from 1.

For any term t, t¹ = t.

For any term t except 0, t⁰=1.

Answer: The solution of the polynomial 3x³ - 12x² - 2x-8 is 9x² - 24x - 2.

The equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].

Given an expression [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex].

We are required to find the equivalent expression of the given expression.

Expression is combination of numbers, fraction,symbols, coefficients, determinants, indeterminants or algebraic operations.  It shows some relationship also. It is found without equal to form.

Expression is [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]

It is in fraction as we know that fraction is combination of two numbers one is numerator and denominator.

First we need to multiply the powers present in numerator and denominator.

=[tex](1.3)^{-18} /[{(1.2)^{2}}^{-24} ][/tex]

We have to invert the numerator and denominator because the powers in negative.

=[tex][(1.2)^{2}]^{24} /(1.3)^{18}[/tex]

Hence the equivalent expression for [tex][(1.3)^{3} /{(1.2)^{2}}^{4} ]^{-6}[/tex]is [tex][(1.2)^{2}] ^{24}/(1.3)^{18}[/tex].

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Step-by-step explanation:

a + b = 18cm

a = 18 - b

a² + b² = 212cm²

(18-b)² + b² = 212

324 - 36b + b² + b² = 212

2b² - 36b + 112 = 0

b² - 18b + 56 = 0

b² - 4b - 14b + 56 = 0

b(b-4) -14(b - 4) = 0

(b-4) (b-14) = 0

b-4 = 0 OR. b-14 = 0

b = 4 cm b = 14 cm

so 4cm < 14cm

so , length of a side of the smaller square is 4cm .......

And , large square's = 14cm .....

Answer:

square one sides = 14, 14

square 2 sides = 4, 4

14 + 4 = 18

14 x 14 + 4 x 4 = 212

Step-by-step explanation:

14 x 14 + 4 x 4

this is the area of the 2 being added

the sides lengths are 14 and 4

Answer:

96 Cherries

Step-by-step explanation:

This is a question on some unit conversions.

First we convert 3 pounds to ounces.

Given 16 ounces = 1 pound,

3 pounds = 3 x 16 ounces = 48 ounces

Next, we will find the number of cherries required.

Number of Cherries required = Total weight of cherries needed (in ounces) / Weight per cherry.

= [tex]\frac{48}{0.5}[/tex]

= 48 * 2

= 96 cherries

Answer:

[tex]w=\frac{420}{p}[/tex]

Step-by-step explanation:

So generally a direct proportion can be expressed as:

[tex]k=\frac{y}{x}[/tex]

essentially where the y/x is equal to some constant value.

Whenever you have an inverse proportion, you can generally express it as:

[tex]k=xy[/tex]

where the product of x and y is equal to some constant value.

So we can check for inverse proportion, by seeing if the xy product is constant

1 * 420 = 420

2 * 210 = 420

3 * 140 = 420

Since the xy (or technically wp, or in general the product of the independent variable and dependent variable) product is constant, this relationship can generally be expressed as: [tex]wp=420[/tex]

We can divide both sides by p, so we can isolate the dependent variable (p)

[tex]w=\frac{420}{p}[/tex]

Answer: 29 centimeters long

Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)

Answer:

  D.  1200 gallons

Step-by-step explanation:

Fractions of the total are given, as is the quantity the difference of those fractions represents. These can be used to write an equation to find the total.

Let g represent the total number of gallons of fuel sold. Then the number of gallons of 87-octane sold is 0.50g, and the number of gallons of 89-octane sold is 0.35g. The difference is said to be 180 gallons:

  0.50g -0.35g = 180

Collecting terms gives ...

  0.15g = 180

Dividing by the coefficient of g, we find ...

  g = 180/0.15 = 1200

The gas station sold 1200 gallons of fuel last weekend.

__

Additional comment

That's 600 gallons of 87-octane; 420 gallons of 89-octane; 120 gallons of 92-octane; and 60 gallons of 99-octane.