It was reported that approximately 15.5 million telephone votes were cast. Each vote was for
either Laine or Alejandro. If the ratio of "Laine votes" to "Alejandro votes” was 29:21, how
many votes did Alejandro receive? What percent of the votes did Laine receive?

Answer:

90

Step-by-step explanation:

Divide the larger number by the smaller number

If the remainder is zero then the larger number is the LCM

If not repeat with multiples of larger number

90 ÷ 15 = 6 remainder 0

Since remainder is 0 then 90 is the LCM of 15 and 90

Answer:

129 hundreds

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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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:

152

Step-by-step explanation:

4(3x + 5)

4(3(11) + 5)

4(33 + 5)

4(38)

152

Answer:

7%

Step-by-step explanation:

Answer:

7% is the correct answer

Answer:

Yes

Step-by-step explanation:

If you divide 12 by 9, you get 1.33... and if you divide 20 by 16, you get 1.25 so Barry can eat more hot dogs in less amount of time than Lou can.

Answer:

yes

Step-by-step explanation:

Answer:

I cant answer it because it blocked the equation can you show the details on text?

Step-by-step explanation:

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:

= -46

Step-by-step explanation:

Since, it is below zero, it is in the negatives. Therefore, it is -46.

Answer:

-46

Step-by-step explanation:

Anything below zero is going to be a negative integer. Your problem asks to write an integer to represent 46 degrees below zero. So, we would write the number 46 with the negative symbol, which is ( - ). There for the correct answer would be -46.

Here are some other examples:

54 degrees below zero  →  -54

negative 120  →  -120

16 degrees below zero  →  -16

Answer:they dont

Step-by-step explanation:

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:

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]

I am joyous to assist you anytime.

Answer:

5 12/25

Step-by-step explanation:

The first step is to separate the whole number number from the decimal.

that would be 5

Next would to see in which place the decimal number is in. .48 is in the hundredths place so we put 48 over 100 like this 48/100

So now we have the whole number 5 and the fraction 48/100

Lastly we simplify the fraction. 48 divided by 2 and 100 divided by 2

This equals 24/50

This can be simplified even more

24 divided by 2 and 50 divided by 2

This equals 12/25

Then we put the whole number in front and your final answer is

5 12/25

Let's go through the steps.

d/5 +12 = -15

1. Multiply both sides by 5.

Doing this we get:

d + 60 = - 75

2. Subtract 60 from both sides.

d = - 75 - 60

d = -135

Step 2 above is the final step taken to find the value of d.

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3(3)+2(11)=31

Answer:

8.6

Step-by-step explanation:

because 27.95 divided by 3.25=8.6

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:

[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]

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:

$3

Step-by-step explanation:

4/$6 = 2/$3

Answer:

3

Step-by-step explanation:

ywwwwww

Answer:

First number 2

Second number 1

Step-by-step explanation:

Let the first number = x

Let the second number = 3x - 5

Equation

x + 3x - 5 = 3                    

Solution

x + 3x- 5 = 3                   Combine

4x - 5 = 3                        Add 5 to both sides

4x - 5 + 5 = 3 + 5           Combine

4x = 8                              Divide by 4

4x/4 = 8/4                       Combine

x = 2

3x -5 = 3(2)- 5 = 1

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 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

The specified expression simplifies to -r² + r - 44. Steps to find equivalent expressions include gathering like terms and utilizing the distributive property.

The expression (2r²+r-1) – (3r²+48-5) can be rewritten as 2r²+r-1 - 3r² - 48 +5. For the r² terms, combine 2r² and -3r² to get -r². For the constant terms, combine -1, -48 and +5 to get -44. And there's only one r term which is r. Together, these give the equivalent expression as -r² + r - 44.

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The expression equivalent to (2r2 + r - 1) - (3r2 + 48 - 5) is -r2 + r - 44.

To find the equivalent expression, we need to distribute the negative sign into the second set of parentheses.

Then, combine like terms.

The expression becomes: (2r2 + r - 1) - 3r2 - 48 + 5.

Combining like terms further, we have: 2r2 + r - 1 - 3r2 - 48 + 5

Now, combine the like terms again: (2r2 - 3r2) + r + (-1 - 48 + 5). Simplifying this gives us: -r2 + r - 44

Therefore, the expression equivalent to (2r2 + r - 1) - (3r2 + 48 - 5) is -r2 + r - 44.

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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

Final answer:

The range for the relation 3x - y = 3 with the domain (-2,2,4) is calculated by substituting each domain value into the equation, resulting in the range (-9, 3, 9).

Explanation:

To find the range for the relation 3x - y = 3 given the domain (-2,2,4), we need to substitute each value from the domain into the equation and solve for y. Here's how you do it step by step:

The range for the given domain is (-9, 3, 9).

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:

$91.75

Step-by-step explanation:

Jessica is paid:

1st day:

Jessica picked 65 baskets of oranges (less than 100)

Jessica is paid [tex]65\cdot \$0.45=\$29.25[/tex]

2nd day:

Jessica picked 135 baskets of oranges (35 more than 100)

Jessica is paid [tex]100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50[/tex]

Altogether Jessica is paid

[tex]\$29.25+\$62.50=\$91.75[/tex]

Answer:

161.5 degrees

c- 4, 140

Answer: C

Step-by-step explanation: Subtract 2 from 25 to get 23. Then, multiply by 180. This equals 414p

As for the 19-gon, the sum is 360