Is 5/8 greater than 6/16

The value of x is [tex]\frac{3a}{4b}[/tex] and [tex]-\frac{2b}{3a}[/tex]

Explanation:

The expression is [tex]12abx^{2} -(9a^{2} -8b^{2} )x-6ab=0[/tex]

Multiplying the term x withing the bracket, we get,

[tex]12abx^{2} -9a^{2} x+8b^{2} x-6ab=0[/tex]

Grouping the terms, we have,

[tex](12abx^{2} -9a^{2} x)+(8b^{2} x-6ab)=0[/tex]

Taking out the common terms in each bracket, we get,

[tex]3ax(4bx -3a)+2b(4bx-3a)=0[/tex]

Simplifying, we get,

[tex](3ax+2b)(4bx -3a)=0[/tex]

Equating each term to zero, we get,

[tex]\begin{aligned}3 a x+2 b &=0 \\3 a x &=-2 b \\x &=-\frac{2 b}{3 a}\end{aligned}[/tex]   and [tex]\begin{aligned}4 b x-3 a &=0 \\4 b x &=3 a \\x &=\frac{3 a}{4 b}\end{aligned}[/tex]

Hence, the values of x is [tex]\frac{3a}{4b}[/tex] and [tex]-\frac{2b}{3a}[/tex]

a) Consecutive sides must be congruent, for SAND to be in a rhombus

For the word "SAND" to form a rhombus, certain conditions must be met based on the properties of a rhombus:

a) Consecutive sides must be congruent: True. In a rhombus, all sides are congruent, so consecutive sides must also be congruent.

b) Diagonals do not bisect the angles: False. In a rhombus, the diagonals bisect the angles. This is a property of rhombuses.

c) All interior angles add up to 360: False. In a rhombus, all interior angles are equal, but their sum is not necessarily 360 degrees. However, the sum of all interior angles in any quadrilateral (including a rhombus) is indeed 360 degrees.

Therefore, the correct statement is:

a) Consecutive sides must be congruent

Answer:

seems like you need to learn how to do your own work.  

Step-by-step explanation:

Ask instructor for help or go back to the book

Answer:

Below is the step-by-step explanation.

Step-by-step explanation:

To determine:

Construct a triangle ABC

Information Fetching and Information Steps:

From the given data,

Procedure:

Thus, ∆ [tex]ABC[/tex] will be a required triangle.

Keywords: triangle, perpendicular bisector, angle

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Answer:

234 ft²

Step-by-step explanation:

Area of parallelogram =  base x height

in our case, base length = 26 feet  and height = 9 feet

hence,

Area of parallelogram =  26 x 9 = 234 ft²

Answer:

234 ft²

Step-by-step explanation:

I just finished the test and I got 100% correct.

Answer:19/2

Step-by-step explanation:

19/2=9.5

Other are not in its very simplest form

Answer:

19/2

Step-by-step explanation:

The other answers are not in the simplest form!

Answer:

C) a = 6, b = 4

Step-by-step explanation:

6 + 4 = 10

6 - 4 = 2

To solve the system, we first add both equations to find 'a = 6'. Then, substitute 'a' in one of the original equations to get 'b = 4'. The solution is 'a = 6' and 'b = 4', corresponding to answer choice C).

To solve the system of equations:

We can add the two equations to eliminate the variable b. By adding them, we get:

2a = 12

Divide both sides of the equation by 2:

a = 6

With the value of a known, substitute a = 6 into either of the original equations. For example, substituting it into the first equation:

a + b = 10

6 + b = 10

b = 10 - 6

b = 4

Therefore, the solution to the system of equations is a = 6 and b = 4, which corresponds to answer choice C).

Answer:

THE DIFFERENCE OF THE NUMBERS IS 6~ likely

THE SUM ON EACH DIE IS 5~ unlikely

THE NUMBER ON EACH DIE IS A WHOLE NUMBER~ Certain

THE NUMBER ON EACH DIE IS LESS THAN 6~ likely

THE SUM OF THE NUMBERS IS 14 OR GREATER~ impossible

Answer:

0.25

Step-by-step explanation:

2^-2=0.25

Answer: 3.5

Step-by-step explanation:

yes

Answer:

Therefore reminder = 2802

Step-by-step explanation:

f(x)=x³+6x²-20x+450

x-12)x³+6x²-20x+450(x²+18x+196

      x³-12x²

    ____________________

          +18x²-20x+450

           18x²-216x

          _______________

                  196x +450

                  196x-2352

                 _____________

                            2802

Therefore reminder = 2802

Answer:

x = 4, 6

Step-by-step explanation:

The line would go from 4 to 6 with closed circles at each point

(Add images of the lines provided if you need clarification)

Answer:

6

Step-by-step explanation:

2%=0.02

0.02*300=6

The number of parakeet is 21.

Let us assume the families had parakeet only be X

A survey of 260 families show that:

The families had a dog and a cat only it means

= 34 - 8

= 26

The families had a dog only is

= 99 - (26 + 8 )

= 65

The families had a cat only is

= 76 - (26 + 8)

= 42

So,

X = 260 - ( 98 + 8 + 26 + 65 + 42 )

= 260 - 239

= 21

Therefore, the families had a parakeet only is 21.

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The question pertains to the analysis of survey data relating to pet ownership among a set of families. It requires understanding of data analysis in mathematics.

The question is about finding the total number of families that have each specified type of pet (dogs, cats, both dogs and cats, or a dog, a cat, and a parakeet). The given data from the survey states that among the 260 families:

Using this data, you can compute and analyze the number of families owning each type of pet or combination of pets. It's important to understand that some families may fall into multiple categories - for example, families with a dog and a parakeet would count both towards the 'dog' total and the 'dog, cat, and parakeet' total.

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Answer:

The sum of their ages in 5 years will be 97 years

Step-by-step explanation:

The correct question is

Twelve years ago, Lester was twice as old as Hester. Lester is 21 years older than Hester. What will the sum of their ages be in 5 years?

Let

x ----> Lester's age

y ----> Hester's age

we know that

Twelve years ago, Lester was twice as old as Hester

so

[tex]x-12=2(y-12)[/tex]

[tex]x-12=2y-24[/tex]

[tex]x-2y=-12[/tex] ----> equation A

Lester is 21 years older than Hester

so

[tex]x=y+21[/tex] ----> equation B

substitute equation B in equation A

[tex]y+21-2y=-12[/tex]

solve for y

[tex]-y=-12-21\\-y=-33\\y=33[/tex]

Find the value of x

[tex]x=33+21=54[/tex]

therefore

Lester's age is 54 years and Hester's age is 33 years

The sum of their ages in 5 years will be

[tex](54+5)+(33+5)=97\ years[/tex]

A∩B = {2, 4}

Step-by-step explanation:

⇒ A∩B = {2, 4}

The least possible number of coins Pirate Jack has, is 81 coins.

Step-by-step explanation:

Given,

When the coins are divided into 7 equal piles, 4 coins are left.

When the coins are divided into 11 equal piles, 4 coins are left.

We will take LCM of both 7 and 11.

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, ....

11 = 11, 22, 33, 44, 55, 66, 77, 88, ...

The least common multiple of 7 and 11 is 77.

As 4 coins are left, therefore, we will add those coins.

Total possible coins = 77+4 = 81

The least possible number of coins Pirate Jack has, is 81 coins.

Keywords: LCM, addition

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Answer:

205

Step-by-step explanation:

Were gonna start by writing an equation (121+184+x)/3=170 because were adding a 3rd value to the average and x is going to be our value that were looking for. If you solve that, you get 205. Hope this helps.

For Ben to have an average of at least 170 in his third game, he must bowl a score of 205.

To find out what Ben must bowl in his third game to have an average of at least 170, we can use the formula for average: average = total score/number of games.

In this case, Ben has played two games and wants to have an average of 170. So we can set up the equation: 170 = (121 + 184 + x) / 3, where x represents his score in the third game.

To solve for x, we can multiply both sides of the equation by 3 to get rid of the fraction: 510 = 121 + 184 + x.

Then, we can combine the numbers on the right side: 510 = 305 + x.

Finally, subtracting 305 from both sides gives us: 205 = x.

Therefore, Ben must bowl a score of 205 in his third game to have an average of at least 170.

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Ramesh is not correct because as the exponents decrease, the previous value is divided by 7 .

Explanation:

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

Exponents are superscript numerals that let you know how many times you should multiply a number by itself. Some real world applications include understanding scientific scales like the pH scale or the Richter scale, using scientific notation to write very large or very small numbers and taking measurements.

Answer:

D. Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = StartFraction 1 Over 16,807 EndFractionStep-by-step explanation:

EDGE 2020

Answer:

Step-by-step explanation:

The answer is B) B :)

Answer:

The answer is B

Step-by-step explanation:

According to USA Test prep it says so, but i didn't quite get the explanation so bear with me. Thank you :)(:

Answer:

The number of 1/5 liter glasses that Lin can fill is [tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

we know that

To find out how many 1/5 liter glasses can Lin fill with a 1 1/2 liter bottle of water, divided 1 1/2 by 1/5

so

[tex]1\frac{1}{2} :\frac{1}{5}[/tex]

Convert mixed number to an improper fraction

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

substitute

[tex]\frac{3}{2} :\frac{1}{5}[/tex]

Multiply in cross

[tex]\frac{5*3}{2*1}=\frac{15}{2}=7.5[/tex]

Convert to mixed number

[tex]7.5=7+\frac{1}{2}=7\frac{1}{2}[/tex]

Lin can fill 7.5 glasses of water from a 1 1/2 liter bottle. However, if only full glasses are counted, Lin can fill 7 full glasses.

The question asks how many 1/5 liter glasses can be filled with a 1 1/2 liter bottle of water. To answer this, we need to perform a division of the total volume of the water by the volume of each glass.

First, express both quantities in the same units, in liters. The bottle has 1 1/2 liters, which is the same as 1.5 liters. Now, divide the total volume of the water by the volume of one glass:

1.5 liters / (1/5 liter per glass) = 1.5 * 5 = 7.5 glasses.

Therefore, Lin can fill 7.5 glasses of water from a 1 1/2 liter bottle, if we consider that partial glasses can be filled. If only full glasses can be filled, Lin can fill 7 full glasses.

The expression -1 × 2 × -3 × 4 × -5 has a negative value ⇒ C

Step-by-step explanation:

Let us revise the products of negative and positive

A. -1 × -2

∵ There are two negative signs

∵ 2 is an even number

∴ -1 × -2 has a positive value

B. 1 × -2 × -3 × -4 × -5

∵ There are four negative signs (-2 , -3 , -4 , -5)

∵ 4 is an even number

∴ 1 × -2 × -3 × -4 × -5 has a positive value

C. -1 × 2 × -3 × 4 × -5

∵ There are three negative signs (-1 , -3 , -5)

∵ 3 is an odd number

∴ -1 × 2 × -3 × 4 × -5 has a negative value

D. 1 × -2 × 3 × -4 × 5

∵ There are two negative signs (-2 , -4)

∵ 2 is an even number

∴ 1 × -2 × 3 × -4 × 5 has a positive value

The expression -1 × 2 × -3 × 4 × -5 has a negative value

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Answer:

Therefore the correct answer is the fourth one d.) dilation with scale factor 1/3

Step-by-step explanation:

i) the pre-image co-ordinates is  Y(6, -12)

ii) the coordinates of the image is Y' (2, -4)

iii) therefore we can clearly see that if we divide the coordinates of the pre-image (6,-12) by 3 then we get the coordinates of the image(2,4).

Therefore this is a dilation with scale factor of 1/3.

Therefore the correct answer is the fourth one d.) dilation with scale factor 1/3

Final answer:

The transformation from the pre-image point Y(6, -12) to the image point Y'(2, -4) is a dilation with a scale factor of 1/3.

Explanation:

Given an image point Y'(2, -4) of a transformation and the pre-image point Y(6, -12), we can determine the type of transformation and the scale factor. The transformation is a type of change that affects the position, size, or shape of a figure. To find out the type of transformation and the scale factor, we compare coordinates.

Since the x-coordinate changed from 6 to 2, it has been reduced by a factor of 3 (6 divided by 3 equals 2). The y-coordinate changed from -12 to -4, which also has been reduced by a factor of 3 (-12 divided by 3 equals -4). This consistent reduction indicates that the transformation is a dilation. The objects are shrunk uniformly in both dimensions by the scale factor.

The correct answer is therefore dilation with scale factor 1/3.

Answer:

look at the picture shown

Answer: -17 and 3

Step-by-step explanation:

First try and find numbers that are divisible by -51 and see if they work. Then you'll find -17, leading to you multiplying -17 with 3, then you get -51, and if you add them, then you get -14.