Gary says that 3 - 1 1/3 will be more than 2, since 3 – 1 is 2. Draw a picture to prove that Gary is wrong.

Final answer:

The simplified form of the expression  [tex]3 \sqrt(4x/5) \ is\ 6 \sqrt(5x) / 5[/tex]after performing the square root separately on the numerator and denominator, and then rationalizing the denominator.

Explanation:

The expression given is [tex]3 \sqrt(4x/5)[/tex]. To simplify this expression, we observe that the square root of 4 is a perfect square and equals 2. The square root of the fraction can be taken by applying the square root to the numerator and the denominator separately. Therefore, we have:

[tex]3 \times \sqrt(4) \times \sqrt(x) / \sqrt(5)[/tex]

Upon simplifying, we get:

[tex]3 \times 2 \times \sqrt(x) / \sqrt(5)[/tex]

This simplifies further to:

[tex]6 \sqrt(x) / \sqrt(5)[/tex]

However, it's not common to leave a square root in the denominator, so we can multiply both the numerator and the denominator by sqrt(5) to rationalize the denominator.

The final simplified form is:

[tex]6 \sqrt(5x) / 5[/tex]

Answer:

The area of the parallelogram is [tex]3\frac{1}{8}ft^{2}[/tex]

Step-by-step explanation:

Remember that a mixed fractions are composed for a whole number, a numerator and a denominator. For example in the mixed fraction [tex]2\frac{1}{3}[/tex]: 2 is the whole number, 1 is the numerator and 3 is the denominator.

If you want to convert to a improper fraction you need to multiply the whole number by the denominator and add to the numerator. The result will be the numerator of the improper fraction. The denominator remains the same.

[tex]2\frac{1}{3}=\frac{(2*3)+1}{3} =\frac{7}{3}[/tex]

1. Convert the mixed fractions in the improper fraction type, as follows:

[tex]Base= 2\frac{1}{2}=\frac{5}{2} \\ \\Height= 1\frac{1}{4}=\frac{5}{4}[/tex]

2. Replace the data in the equation of a parallelogram

[tex]Area= Base*Height[/tex]

[tex]Area= Base*Height\\Area=\frac{5}{2}ft *\frac{5}{4}ft\\Solve...\\Area=\frac{25}{8}ft^{2}[/tex]

3. Convert the improper fraction in a mixed fraction

[tex]Area=\frac{25}{8}ft^{2}=3\frac{1}{8}ft^{2}[/tex]

The area of the parallelogram is [tex]3\frac{1}{8}ft^{2}[/tex]

Answer:

The simplest form of the expression is 16 a²b²

Step-by-step explanation:

* Lets explain how to solve the problem

- To simplify any fraction with exponent you must put it with positive

 exponent

- Ex: the fraction [tex](\frac{2}{3})^{-1}[/tex] not in the simplest form

 because it has negative exponent

- To change the negative exponent to positive exponent reciprocal the

 fraction, [tex](\frac{3}{2})^{1}[/tex] and this is the simplest form of the fraction

* Now lets solve the problem

∵ The expression is [tex](\frac{1}{4ab})^{-2}[/tex], where a and b ≠ 0

- At first reciprocal the fraction

∴ [tex](\frac{1}{4ab})^{-2}=(\frac{4ab}{1})^{2}[/tex]

- Then solve the power

∵ 4² = 16

∵ (ab)² = a²b²

∴ (4ab)² = 16 a²b²

* The simplest form of the expression is 16 a²b²

Answer:

16 a²b² is option D on e2020

Step-by-step explanation:

100% on test

Answer:

8.6

Step-by-step explanation:

because 27.95 divided by 3.25=8.6

Final answer:

An author's claim is a specific statement that represents the main argument, supported by evidence and reasoning, and serves as the backbone of the thesis structure in academic writing.

Explanation:

An author's claim contains an opinion about a topic that is presented as a specific statement or assertion for which the author will provide support throughout their work. The claim is often a summation of the author's main argument or thesis statement and is supported by evidence, including facts, statistics, anecdotes, and quotations. In addition to presenting the argument, the claim is backed by reasoning, and the author must use analysis to show how the evidence relates to and supports the claim.

The effective use of a claim involves stating it clearly and supporting it with credible evidence, thereby forming the backbone of the thesis-first or thesis-last structure in an academic paper. It's critical for the claim to be directly connected to evidence through logical reasoning, such as cause and effect or comparison and contrast, to ensure that the argument is coherent and compelling.

Answer:

7%

Step-by-step explanation:

Answer:

7% is the correct answer

Final answer:

With $180 and each pack costing $12, you can buy 15 packs of DVDs.

Explanation:

Calculating the Number of DVD Packs

To determine how many packs of DVDs you can buy with $180 when one pack costs $12, you need to perform a simple division operation. You divide the total amount of money you have by the cost of one pack of DVDs:

$180 ÷ $12 per pack = 15 packs.

Therefore, with $180, you can buy 15 packs of DVDs.

Answer:

The answer is He and She.

Step-by-step explanation:

The answer is he and she. Him and her are object pronouns, meaning they are used as the direct or indirect object of a verb. He and She are used because these are subject pronouns, subject of the verb. For example:

He bought lunch for her: He is used as the subject, and her is used as the object of a verb.

Julia sent 401 text messages in the month of September.

To find the number of text messages Julia sent, we can set up an equation using the given information.

Let's assume she sent x additional messages.

The cost of the additional messages would be 20x.

Since her total cost is $24, we can write the equation:

8 + 20x = 24

Subtracting 8 from both sides gives:

20x = 16

Dividing both sides by 20 gives:

x = 0.8

Since x represents the additional messages sent, we can round it to the nearest whole number.

Therefore, Julia sent 1 additional text message.

In order to find the total number of messages sent, we can add the initial allowance of 400 messages to the additional message:

Total messages sent = 400 + 1 = 401 text messages.

Final answer:

Julia sent a total of 401 text messages in September.

Explanation:

Julia's text messaging plan costs $8 for the first 400 messages and $20 for each additional text message. To find out how many text messages she sent in September, we need to determine the number of additional text messages she sent beyond the first 400. Let's assume she sent x additional text messages. The additional cost for these text messages would be 20 * x. We can set up an equation to solve for x:

$8 + 20x = $24

Subtracting $8 from both sides gives:

20x = $16

Dividing both sides by 20, we get:

x = $16 / 20 = 0.8

Since we cannot have a fraction of a text message, Julia must have sent 1 additional text message beyond the first 400. Therefore, she sent a total of 401 text messages in September.

Answer:

Option C. 67

Step-by-step explanation:

Elizabeth is selling jam at a farmers market, and she earns $5.00 for each jar of jam that she sells.

She has already made $95.00 from jam sales and $24.00 from leading a demonstration.

She has made money = 95 + 24 = $119.00

Her goal for the weekend is to earn at least $450.00

Now She is away from her goal = 450 - 119 = $331

To achieve the goal she has to sell the number of jar of jam = [tex]\frac{331}{5}[/tex]

                                                 = $66.2

To make at least $450 she must sell 67 jars of jam.

The required minimum number of jars must sell by Elizabeth at this point of time to reach her goal is given by option b. 66.

To find out how many jars Elizabeth needs to sell to reach her goal,

Need to subtract the amount she has already earned from her goal.

Goal earnings: $450.00

Already earned from jam sales: $95.00

Earned from demonstration: $24.00

Total earnings so far: $95.00 + $24.00 = $119.00

Remaining earnings needed to reach the goal:

$450.00 - $119.00 = $331.00

Since Elizabeth earns $5.00 for each jar of jam sold,

determine the minimum number of jars she needs to sell by dividing the remaining earnings needed by the earnings per jar:

Number of jars needed = Remaining earnings / Earnings per jar

Number of jars needed = $331.00 / $5.00 ≈ 66.2

Nearest integer value to 66.2 is 66.

Therefore, as Elizabeth can't sell a fraction of a jar she needs to sell minimum number of 66 jars to reach her goal , the correct answer is option b. 66

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Each birdhouse uses 12 sq ft of wood.

He has enough to build 10 birdhouses, so he has 120 sq ft of wood.

The function has an input of the number of birdhouses, b, and has an output of the amount of wood needed, W. b is the input or the domain, and W is the output or the range. The domain is 0 to 10. The range is 0 to 120.

Answer:  B. D: 0 ≤ b ≤ 10 R: 0 ≤ W(b) ≤ 120 

Enjoy! Hope this helped you! :)

Answer:

Currently the U.S. is on a downwards spiral and will fall soon.

Step-by-step explanation:

The resulting money multiplier is 8

The money multiplier represents the greatest amount the supply of money increase on the bases of an increase in reserves within the banking system.

So, rate = 12.5/100 = 0.125

∴ (M) = 1/0.125 = 8

The resulting money multiplier is 8

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Answer:they dont

Step-by-step explanation:

Answer:

x = 10/19

Step-by-step explanation:

[tex]log(x)-log(2x-1) = 1\\log\frac{x}{2x-1}=log(10)\\\frac{x}{2x-1}=10\\x = \frac{10}{19}[/tex]

The solution to the equation log x - log(2x-1) = 1 is x = 10/19.

We have,

To solve the equation log x - log(2x-1) = 1, we can use logarithmic properties to simplify the equation.

First, we can apply the quotient rule of logarithms, which states that

log a - log b = log(a/b).

Applying this rule to the equation, we get:

log(x / (2x-1)) = 1

Next, we can rewrite the equation in exponential form, using the definition that log base a of b is equivalent to a raised to the power of the logarithm equals b.

In this case, the base is 10 since we are using common logarithms (log base 10):

[tex]10^1[/tex] = x / (2x-1)

Simplifying the left side, we have:

10 = x / (2x-1)

To eliminate the denominator, we can multiply both sides of the equation by (2x-1):

10(2x-1) = x

Expanding the left side:

20x - 10 = x

Now, we can isolate the variable x:

20x - x = 10

19x = 10

Dividing both sides by 19:

x = 10/19

Therefore,

The solution to the equation log x - log(2x-1) = 1 is x = 10/19.

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[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{a^{-4}}{a^{-6}}\implies a^{-4}\cdot a^6\implies a^{-4+6}\implies a^2[/tex]

Answer:

86/15 hours/day or 5.73333333333 hours/day

Step-by-step explanation:

divide 86 by 15 to get your answer

don't forget units

Answer: 86 hours divided into 15 days would approximately be 6 hours per day (or 5.733 if you aren't rounding the amount).

Answer:

The answer is many solutions

Answer:

infinite

Step-by-step explanation:

3 x 41 = 132 so

3y +132 =3y +132

Answer:

1/7

Step-by-step explanation:

Divide each number by 5.

5/5=1

35/5=7

Answer:

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 5 and 35 is 5

Divide both the numerator and denominator by the GCD

5 ÷ 5

35 ÷ 5

Reduced fraction:  

1

7

Answer:

$3

Step-by-step explanation:

4/$6 = 2/$3

Answer:

3

Step-by-step explanation:

ywwwwww

Answer:

The coefficient of b is 1

Step-by-step explanation:

we know that

In a mathematical equation, a coefficient is a constant by which a variable is multiplied

so

A coefficient is a constant multiplied by a variable.

In this problem we have

b+10

Rewrite'

b+10=(1)b+10

therefore

The coefficient of b is 1

Answer:

129 hundreds

Step-by-step explanation:

The cost per tomato is $0.63.

Answer:

The cost of each tomato is $0.62

Step-by-step explanation:

Consider the provided information.

5 tomatoes for $3.10.

We need to determine the cost per tomato.

To find this divide the number of tomatoes from the cost of tomatoes.

[tex]\frac{3.10}{5}=0.62[/tex]

Hence, the cost of each tomato is $0.62

Answer: 12 is the CCF

Step-by-step explanation:

The factors of 24 are: 1,2,3,4,6,8,12,24

The factors of 36 are: 1,2,3,4,6,9,12,19,36

the greatest common factor (or common number) is therefore 12.

24=2x12

36=3x12

Answer:

Step-by-step explanation:

Use the Prime Factorization:

24 = 2 · 2 · 2 · 3

36 = 2 · 2 · 3 · 3

GCF(24, 36) = 2 · 2 · 3 = 12

Answer:

x=0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x+5=−2x+5

Step 2: Add 2x to both sides.

2x+5+2x=−2x+5+2x

Step 3: Subtract 5 from both sides.

4x+5−5=5−5

4x=0

Step 4: Divide both sides by 4.

4x/4=0/4

X=0

Answer:

C.14¾

3 9⁄10

Step-by-step explanation:

[tex] \frac{4}{5} + 3 \frac{1}{10} = \frac{8}{10} + 3 \frac{1}{10} = 3 \frac{9}{10} [/tex]

[tex]4 \frac{7}{12} + 2 + \frac{3}{4} + 7 \frac{5}{12} = 13 \frac{12}{12} + \frac{3}{4} = 14 + \frac{3}{4} = 14 \frac{3}{4} [/tex]

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Answer: 525 ft

Step-by-step explanation:

350 = 1 hour

350 / 2 = 175 in half an hour

350 + 175 = 525 ft

Answer:

[tex]f(x) = \frac{3}{7}x - 5[/tex]

Step-by-step explanation:

Starting from the y-intercept of [0, -5], you can do rise\run by either moving three blocks south over seven blocks west, or three blocks north over seven blocks east, over to where the graph touches its first endpoint [west and south are negatives].

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Answer:

The list of angle of rotation is zero

Step-by-step explanation:

* Lets revise some definitions about isosceles trapezoid

- An isosceles trapezoid is a trapezoid with congruent base angles

- An isosceles trapezoid has congruent legs

- An isosceles trapezoid has 1 axis of symmetry

- An isosceles trapezoid has no rotational symmetry

* Lets solve the problem

- From the attached figure:

∵ The figure is quadrilateral

∵ The quadrilateral has only a pair of parallel sides

∵ The parallel side not equal in length

∵ The other two sides of the quadrilateral are equal in length

∴ The quadrilateral is an isosceles trapezoid

∵ The isosceles trapezoid has no rotational symmetry

∴ There is no angle of rotation

∴ The list of angle of rotation is zero

Answer:

the answer is 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

To compare 3,176 and 3,472 using the number line, remember how numbers appear on a number line:

Smaller numbers are to the left, and larger numbers are to the right.

but since both is in the 3,000 just make sure one is on the left and find out where the bigger one goes on the right

Answer:

The hundreds place

Step-by-step explanation:

To compare numbers we start from the left of each number. Both of these numbers have 4 digits. The leftmost digit is the thousands place.

3,176 & 3,472

The thousands places both show 3. Both numbers are 3 thousand and something. The thousands places are equal and are not enough to compare the numbers.

3,176 & 3,472

The hundreds places show a 1 and a 4. The digit 1 in the hundreds place means 100. The digit 4 in the hundreds place means 400. Since 4 is greater than 1, by comparing the digits in the hundreds place, we can already tell which number is greater.

Answer: The hundreds place.

Here is HOW to do it.....:

Input Data :

Coordinates  

(

x

A

,

y

A

)

(xA,yA)

= (5, 4)

Slope (m) = 8

Objective :

Find slope of a straight line?

Formula :

y

−

y

A

=

m

(

x

−

x

A

)

y-yA=m(x-xA)

Solution :

y - 4 = 8 (x - 5)

y - 4 = 8x - 40

y = 8x - 40 + 4

y = 8x - 36

8x - y - 36 = 0

Answer:

the answer is B

Step-by-step explanation: