the sum of the 2 numbers is 92 the the product of the 2 nrumbers is 2107 what is the age of audras oldest parent is the youngest dugters age

Arianys broke a cell sample into 99 batches each weighing 6.6 x 10⁻⁶, the weight of the original cell sample is  653.4 x 10⁻⁶ grams which when expressed in scientific notation is 6.534 x 10⁻⁴ grams

Arianys broke a cell sample into 99 batches each weighing 6.6 x 10⁻⁶

If the weight of each batch of the original cell sample is 6.6 x 10⁻⁶

The weight of 99 batches = 6.6 x 10⁻⁶ x 99 grams

The weight of 99 batches = 653.4 x 10⁻⁶ grams

The weight of the original cell sample is  653.4 x 10⁻⁶ grams

Scientific notation is a way of expressing numbers in decimal form that are too large or too small. The absolute value of the coefficient of any number is greater than or equal to 1 but it should be less than 10

As per scientific notation it can be written as  6.534 x 10⁻⁴ grams

Therefore, if Arianys broke a cell sample into 99 batches each weighing 6.6 x 10⁻⁶, the weight of the original cell sample is  653.4 x 10⁻⁶ grams which when expressed in scientific notation is 6.534 x 10⁻⁴ grams

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Answer:

2+0.8+0.03

Step-by-step explanation:

Percentages can be expressed as decimals.

7% = 1 x 0.07

Decimals can be expressed as fractions.

7% = 1 x 7/100
7% = 7/100

Answer:

7/100

Step-by-step explanation:

Percentage is out of 100 - Denominator

7% of 100  7-Numerator

7/100

Answer: He bought y tarps

Step-by-step explanation: this confusing

Answer: B. −8x − 12y − 18q − 42p

The answer is b

In this image is the explanation, just click on it

∠SQU ≅ ∠VQT by the Vertical angles theorem.

From the figure, lines UV and WZ are parallel.

We need to arrive at the conclusion that angle VQT is congruent to angle WRS. i.e., ∠WRS ≅ ∠VQT.

So first we have the angles ∠SQU and ∠VQT. Both are vertical angles or opposite angles at Q.

The Vertical Angles Theorem states that two vertical angles are congruent to each other.

Thus, ∠SQU ≅ ∠VQT by the Vertical angles theorem.

Then we have the angles ∠SQU and ∠WRS. They are corresponding angles from the figure.

The Corresponding Angles Theorem states that two corresponding angles are congruent to each other.

Thus, ∠SQU ≅ ∠WRS by The Corresponding Angles Theorem.

Finally, ∠VQT ≅ ∠WRS by the Transitive property of Equality .

The transitivity property can be defined as if a ≅ b and b ≅ c, then a ≅ c.

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The amount Lisa has in the account after 3 years is; 488.28.

The amount Xavier has in the account after 3 years is; 492.08.

The positive difference in their account after 3 years is; 4.20.

It follows from the task content that Lisa savings as described is modelled by the function;

F (x) = 250(1.25)^x

1. It therefore follows that the amount Lisa would have in the account after 3 years would be;

F(3) = 250 (1.25)³

F(3) = 250 × 1.953125

F(3) = 488.28125.

Hence, when rounded to the nearest hundredth; we have; F(3) = 488.28.

2. Also, the amount Xavier has after 3 years can be determined from the table as; 492.08.

3. The positive difference can therefore be determined as; | 492.08 - 488.28 | = 4.20.

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[tex]y = 1 - 2x.....(3) \\ \\ 3x + 2(1 - 2x) = 10 \\ 3x + 2 - 4x = 10 \\ 3x - 4x = 10 - 2 \\ - x = 8 \\ \frac{ - x}{ - 1} = \frac{8}{ - 1} \\ x = - 8 \\ \\ \\ y = 1 - 2( - 8) \\ y = 1 + 16 \\ y = 17[/tex]

NOTE I FIRST DERIVED THE THIRD EQUATION FROM THE SECOND EQUATION BY MAKING Y THE SUBJECT OF THE EQUATION AND SUBSTITUTED THE DERIVED EQUATION TO THE FIRST EQUATION BY PLUGGING IN 1-2x IN THE PLACE OF Y AND SOLVED SO ON.

(-8,17)

OPTION A IS THE ANSWER.

GOODLUCK

Answer:

A

Step-by-step explanation:

3x + 2y = 10 → (1)

2x + y = 1 ( subtract 2x from both sides )

y = 1 - 2x → (2)

substitute y = 1 - 2x into (1)

3x + 2(1 - 2x) = 10

3x + 2 - 4x = 10

- x + 2 = 10 ( subtract 2 from both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

substitute y = - 8 into (2)

y = 1 - 2(- 8) = 1 + 16 = 17

solution is (- 8, 17 )

The number of phones sold and the number of accessories sold will be 6 and 13 respectively.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that Abigail earns a $14 commission for every phone she sells and a $3.50 commission for every accessory she sells. on a given day, Abigail made a total of $129.50 in commission and sold 7 more accessories than phones

Suppose the number of accessories and phone be a p respectively.

If he sold 7 more accessories than phones the obtained equation is,

a = p+7

If Abigail receives a commission of $14 for each phone sold and a commission of $3.50 for each accessory sold. Abigail earned a total of $129.50 in commission on a certain day; the resulting calculation is

⇒3.5a + 14p = 129.50

⇒3.5(p+7) + 14p = 129.5

⇒3.5p + 24.50 + 14p = 129.5

⇒17.5p = 105.0

⇒p = 6

Substituting the value of p in the equation we get, a = 13

Thus, the number of phones sold and the number of accessories sold will be 6 and 13 respectively.

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Answer:

I'm not sure if this is right but I'm gonna say no, the tip of each triangle seems off by just a bit

In the triangle ABE

step 1

Find out the measure of angle AEB

m by form a linear pair

mm

step 2

Find out the measure of angle ABE

m by alternate interior angles

step 3

Find out the measure of angle x

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

msubstitute given values

x+100+30=180

x=180-130

Answer: 90

Step-by-step explanation:

The width of the planter box will be 2 meter.

What is mean by Rectangle?

A quadrilateral with four right angles is called a Rectangle.

The area of a rectangle is defined as length times width.

Given that;

The area of a rectangular planter box = [tex]15\frac{1}{2}[/tex] m²

The length of cover to cover a rectangular garden = [tex]7 \frac{3}{4}[/tex] meter

Since, The area of a rectangle = Length x Width

Let the width of planter box = x meter.

Then, We can substitute all the values we get;

The area of a rectangular planter box = Length x Width

⇒ [tex]15 \frac{1}{2} = 7 \frac{3}{4} * x[/tex]

Change into improper fraction as;

⇒ 31/2 = 31/4 × x

Solve for x as;

⇒ 31/2 = 31/4 × x

Divide by 31/4;

⇒ x = 31/2 × 4/31

⇒ x = 4/2

⇒ x = 2 meter

Thus, The width of the planter box will be 2 meter.

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The probability of a student scoring higher than 52 is 0.0021.

When the data are normally distributed and the mean and standard deviation are known. Calculate the percentage of data that is greater than or less than a certain number. The standard normal distribution and the Z-score or the standard normal distribution for this.

In the question, the mean and standard deviation are provided as μ = 72 and σ = 7

It has also been said that the data is typically dispersed.

Determine the proportion or percentage of data that is greater than 52. The Z-Score, also known as the standard normal variate, is defined as:

Z = (x - μ) ÷ σ

Calculate the requisite Z-score by substituting the values of μ, σ, and x:

Z = (72 - 52) ÷ 7

Z = 2.857

The area under the curve is approximately 0.0021 on the right side of the Z value.

As a result, the probability of a student scoring more than 52 is 0.0021.

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The probability that exactly 5 of them favor the building of the police substation is 0.0258.

What is probability?

Probability theory is the mathematical underpinning that makes it possible to analyze random events in a way that makes sense.

The probability of an occurrence is a quantitative measure of how probable it is that a given event will transpire.

This number is always between 0 and 1, where 0 indicates impossible and 1 indicates confidence.

Given that,

n=14, p=0.63

P(x=5) = [tex]^{14}C_5(0.63)^5(0.37)^9[/tex]

=0.0258

The probability that exactly 5 of them favor the building of the police substation is 0.0258.

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Answer: x = 8

Step-by-step explanation:

This is a very, very, very simple algebra problem. I assume you know the basics of algebra.

First, move 8 to the other side:

3x = 24

divide by 3 on both sides

x = 8

There! Would it kill you to give me a quartic question to spice my life up?

The most appropriate choice for exponent will be given by-

Mass of jupiter = 1.898 [tex]\times[/tex] [tex]10^{27}[/tex] kg

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]

Here, 2 is multiplied by itself 4 times.

If [tex]a^m = a\times a \times a\times....\times a[/tex] (m times), a is the base and m is the index.

The laws of index are

[tex]a^m \times a^n = a^{m+n}\\\\\frac{a^m}{a^n} = a^{m - n}\\\\a^0=1\\\\(a^m)^n = a^{mn}\\\\(\frac{a}{b})^m =\frac{a^m}{b^m}\\\\a^{-m} = \frac{1}{a^m}[/tex]

Here,

Mass of jupiter = 1.898 [tex]\times[/tex] [tex]10^{27}[/tex] kg

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using properties of log (a/b) = log (a) - log (b)

in this case log 2 - log 8 = log (2/8) = log (1/4)

first option

The true statements are:

The greatest common factor of 20 and 30 is 10.

The least common multiple of 20 and 30 is 60.

The common factor is 2.

Consider the numbers 20 and 30,

The factors of 20 are 1, 2, 3, 4, 5, 10, and 20.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The common factors are 1, 2, 3, 5, 6, 10 and hence the greatest common factors are 10.

And, 2 is a common factor.

The multiples of 20 are 20, 40, 60, 80, 100, ....

The multiples of 30 are 30, 60, 90, 120, ...

Therefore, the least common multiple is 60.

The GCF and LCM of 20 and 30 are 10 and 60 respectively. The common factor is 2.

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In the expression in order to least to greatest is,

[tex](\frac{1}{6} )^{6}[/tex] <   [tex]6^{-3}[/tex] <  [tex]\frac{6^{6} }{6^{2} }[/tex] < [tex]\frac{6^{12} }{6^{6} }[/tex] by using [tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex] formula.

Based on the given condition,

⇒ [tex]\frac{6^{12} }{6^{6} }[/tex] [tex]\frac{6^{6} }{6^{2} }[/tex] [tex]6^{-3}[/tex] [tex](\frac{1}{6})^{6}[/tex]

Negative numbers grow as they get closer to 0 and positive numbers grow as they distance from 0

First classify numbers as positive and negative

We can use formula,

[tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex]

We can write,

⇒ [tex]\frac{6^{12} }{6^{6} }[/tex] = [tex]6^{12-6}[/tex]

[tex]\frac{6^{12} }{6^{6} }[/tex] = [tex]6^{6}[/tex]

⇒ [tex]\frac{6^{6} }{6^{2} }[/tex]= [tex]6^{6-2}[/tex]

[tex]\frac{6^{6} }{6^{2} }[/tex] = [tex]6^{4}[/tex]

⇒ [tex]6^{-3}[/tex] = [tex]6^{-3}[/tex]

⇒ [tex](\frac{1}{6} )^{6}[/tex] = [tex]\frac{1}{6^{6} }[/tex] = [tex]6^{-6}[/tex]

So,

[tex]\frac{6^{12} }{6^{6} }[/tex] = [tex]6^{6}[/tex]

[tex]\frac{6^{6} }{6^{2} }[/tex] = [tex]6^{4}[/tex]

[tex]6^{-3}[/tex] = [tex]6^{-3}[/tex]

[tex](\frac{1}{6} )^{6}[/tex] = [tex]6^{-6}[/tex]

We can write,

[tex]6^{-6}[/tex] <  [tex]6^{-3}[/tex] <  [tex]6^{4}[/tex] <  [tex]6^{6}[/tex]

Then,

[tex](\frac{1}{6} )^{6}[/tex] <   [tex]6^{-3}[/tex] <  [tex]\frac{6^{6} }{6^{2} }[/tex] < [tex]\frac{6^{12} }{6^{6} }[/tex]

Therefore,

In the expression in order to least to greatest is,

[tex](\frac{1}{6} )^{6}[/tex] <   [tex]6^{-3}[/tex] <  [tex]\frac{6^{6} }{6^{2} }[/tex] < [tex]\frac{6^{12} }{6^{6} }[/tex] by using [tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex] formula.

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Part a: 4 = 4

Thus, 4 = 4 is a Reflexive property of equality.

Part b: -3 = x and x = -3

Thus, -3 = x and x = -3 is the symmetric property of equality.

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Answer:

Step-by-step explanation:

3/4 first is correct

third one and 4th one

The slope–intercept form of the equation, 6•x - 2•y = 12, is y = 3•x - 6, the completed table is therefore;

x; -2, -1, 0, 1, 2

y; -12, -9, -6, -3, 0

The slope of the equation is 3

The y–intercept of the graph of the equation is (0, -6)

The x–intercept is (2, 0)

The slope–intercept form of a straight line equation is the form; y = m•x + c, which shows (indicates) the slope, m and the y–intercept, c

The given equation is; 6•x - 2•y = 12

Required;

To rewrite the equation in the slope–intercept form of a straight line equation, y = m•x + c

Solution;

6•x - 2•y = 12

Rearranging the above equation gives;

6•x - 12 = 2•y

From the symmetric property of equality, we have;

2•y = 6•x - 12

Dividing both sides of the equation by 2 gives;

y = (6•x - 12) ÷ 2 = 3•x - 6

Therefore;

y = 3•x - 6

The above equation is in the slope–intercept form, y = m•x + c

Where;

Which gives the y–intercept as the point (0, -6)

The table of values can therefore be completed as follows;

x; -2, -1, 0, 1, 2

When x = -2, y = 3×(-2) - 6 = -12

When x = -1, y = 3×(-1) - 6 = -9

At the point, x = 0, y = 3×(0) - 6 = -6

The point where x = 1, gives; y = 3×(1) - 6 = -3

At the point where x = 2, y = 3×(2) - 6 = 0

Which gives the completed table as follows;

x; -2, -1, 0, 1, 2

y; -12, -9, -6, -3, 0

The x–intercept is the point where the y–value is 0, which from the completed table gives the x–intercept as the point (2, 0)

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Answer:

-5 and 5

Step-by-step explanation:

5 + 5 = 10 and 5 and -5 are 10 spaces away from each other, hope this helps! :)

Answer:

5, -5

Step-by-step explanation:

5 = 5 units away from 0

-5 = 5 units away from zero

5 units + 5 units = 10 units

-5 to 5 = 10 units apart 5 and -5 are opposites of each other because positive is the opposite of negative and vice versa

hope this helped :) ^^

Answer:

A.004

Step-by-step explanation:

I been Doing this for some Years And I knw it cuz I go on it EvenyDay