19. Thomas has a recipe for punch that calls for 2 quarts of juice and 3 quarts of soda.

He wants to

modify this recipe to make more punch but wants the same ratio of juice to soda. He has 5

quarts of juice. How much soda should he use in his punch?

NO

in icbaring

tor marked 100% off The original nrica of the cioater is on

Answer:

2⁻²

Step-by-step explanation:

(2⁴x 2³ )/ (2⁵x 2⁴)

2⁴ cancels itself up and down

2³/2⁵

Using Law of Indices

2³⁻⁵= 2⁻²

Answer:

[tex] {4}^{8} {4}^{2} = {4}^{10} [/tex]

[tex]( { {2}^{4} )}^{5} = {2}^{20} [/tex]

[tex] \frac{ {5}^{6} }{ {5}^{2} } = {5}^{4} [/tex]

a = 10, b = 20, c = 4

Answer:

1/42,042 or 2.38×10^-5

Step-by-step explanation:

Please kindly check the attached files for explanation

Answer:

[tex](x^2+3)(x^2-3)[/tex]

Step-by-step explanation:

Since both are perfect squares use the difference of squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex] with a = [tex]x^{2}[/tex] and b = 3

=[tex](x^2 +3)(x^2-3)[/tex]

Answer:

x = 5

Step-by-step explanation:

By remote exterior angle theorem:

[tex](6 + 25x) \degree = (18x - 3)\degree + 44\degree \\ 6 + 25x = 18x - 3 + 44 \\ 25x - 18x = 41 - 6 \\ 7x = 35 \\ x = \frac{35}{7} \\ \huge \red{ \boxed{ x = 5}}[/tex]

Answer:

6.8 units

Step-by-step explanation:

Formula for Area of a Pyramid:

V = 1/3 bh (b = area of triangular base)

147.97 = 1/3b(9.6)

Solve for b by dividing 147.97 by (1/3)(9.6)

b = 46.2

b is the area of the base so take the square root to find the length of one edge

√46.2 = 6.8 units

Answer:

Walt has 37 quarters.  Hank has 33.

Step-by-step explanation:

Solve the given equation for q:

0.25q + 0.25q - 1.00 = 17.50

Simplify this, obtaining:

0.50q = 18.50

Simplifying this by multiplying both terms of this result by 100:

50 q = 1850

Thus, q = 1850/50 = 37

Walt has 37 quarters.  Hank has 33.

Note that 37 + 33 = 70, and that 70($0.25) = $17.50.  So our results are correct.

Answer:

[tex]29\left(x+8\right)<26.19\\[/tex]

[tex]\frac{29\left(x+8\right)}{29}<\frac{26.19}{29}\\x+8<0.90310\dots \\x<-7.09689\dots[/tex]

I can't draw the graph but the notation is: [tex]x\in\mathbb{R}|x<-7.09689\dots[/tex]

x equals to all the region in the left from -7.09689...

The statement that's is true is B. A population includes all of the elements from a set of data.

It's should be noted that a population of a given set of numbers consists of all the numbers. During research, a sample is gotten from the entire population and everyone has a chance of being picked.

It should be noted that there are several samples that can be gotten from the population. Also, a measurable characteristic of a population is not referred to as a statistic.

In conclusion, the correct option is B.

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The correct statement is B) A population includes all of the elements from a set of data. This is because a population refers to the totality of subjects we wish to study, whereas a sample is a subset from which we collect data. A statistic is a measure of a sample, and a parameter is a measure of a population.

The question pertains to statistical terminology, specifically the definitions of sample, statistic, population, and parameter. B) A population includes all of the elements from a set of data. This statement is TRUE. A population refers to the entire set of subjects or elements that we are interested in studying. The definition can be applied across various contexts, such as all students in a school, all the birds in a forest, or all the cars produced by a factory.

Conversely, a sample is a subset of the population from which data is actually collected. This is because it is often impractical or impossible to collect data from the entire population. A statistic is a characteristic of a sample, such as the mean or standard deviation, which provides an estimate of the corresponding population parameter. A parameter, therefore, is a characteristic that describes the entire population. For instance, if we calculate the average height of a sample of students from a school, that average is a statistic that estimates the average height of the entire school population—an example of a parameter.

Statement A is incorrect because a measurable characteristic of a population is called a parameter, not a statistic. Statement C is incorrect because multiple samples can be drawn from the same population. Statement D is incorrect because a measurable characteristic of a sample is called a statistic, not a parameter.

Answer:

Step-by-step explanation:

Given that Lindsay is 5 years younger than Mark.

Seven years ago, the sum of their ages was 31.

Let l be Lindsay's age and let m be Mark's age.

From the given Lindsay is 5 years younger than Mark.

We can write it as

l=m-5

From given "Seven years ago, the sum of their ages was 31".

It can be written as

( l - 7 ) + (m- 7) = 31

Answer:

a=3

Step-by-step explanation:

Intersecting Secants Theorem

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Applying the theorem of Intersecting Secants in the diagram

[tex]TV\cdot UV=SV\cdot RV[/tex]

[tex]a*12=4X9\\12a=36\\a=36\div12\\a=3[/tex]

Therefore, the value of a=3

Answer:

The answer to this question is 3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

C. 6

Step-by-step explanation:

Answer:

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?

= 196,25 cm

Step-by-step explanation:

diameter = 5 cm

radius = 1/2 × diameter

radius = 1/2 × 5 = 2,5

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?

= π × r × r × high

= 3,14 × 2,5 × 2,5 × 10

= 196,25 cm

The amount of water in an empty glass is 196.43 cubic centimetre.

Given diameter of glass is 5 cm.

So its radius is [tex]\frac{5}{2}[/tex] cm or 2.5 cm.

Height of glass is 10 cm.

Now we know that normal shape of glass is cylindrical,

So volume of glass = volume of cylinder= [tex]\pi r^{2} h[/tex]

= [tex]\frac{22}{7} \times2.5^{2} \times10[/tex]

[tex]= \frac{22}{7} \times6.25\times10[/tex]

[tex]=196.43 cm^{3}[/tex]

Hence the amount of water in an empty glass is 196.43 cubic centimetre.

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Answer:

  A.) the SSS Postulate

Step-by-step explanation:

Two sides of each triangle are marked congruent, and the third side is shared by the triangles. Hence, all three sides are congruent, and the SSS Postulate applies.

Answer:

16.67%

Step-by-step explanation:

No. of options: 6

Correct option: 1

P(correct) = 1/6 × 100

16.67%

Answer:

22.5% hope this helps!

Step-by-step explanation:

1) 18 over 80

2) 18 divided by 80 = .225

3) move the decimal to the right twice

4) answer is 22.5%

Answer: Ex. Prob. Is 23 % becuase it’s 22.5 % you round the five up and get 23%

Step-by-step explanation:

18/20

divide 18 by 20

then you get .225

move the decimal point twice

you get 22.5%

round that up and get 23%

Answer:0,-1,5,-2.5,two

Step-by-step explanation:

Just did it

Answer:

D

Step-by-step explanation:

Answer: A

Step-by-step explanation:

8x2=16

5x3=15

16-15=1

Also, 5+8=13

Answer:

12 hats

Step-by-step explanation:

Answer:

x=-4 and x=6

Step-by-step explanation:

Factor the denominator of the equation and then set them equal to zero and you will get these answers.

The vertical asymptotes of the function f(x) = 7/(x² - 2x - 24) are found at x = 6 and x = -4, which are the values that make the denominator of the function equate to zero.

The function provided is a rational function, namely f (x) = 7/(x² - 2x - 24). To find the asymptotes for this function, we must identify the values of x that will make the denominator equate to zero, as these points result in undefined values within the function.

These points define the vertical asymptotes. To find these, we set the equation x² - 2x - 24 = 0 and solve for x. The solutions to this equation are the x-values of the vertical asymptotes.

By factoring the equation x² - 2x - 24 = 0, we get (x - 6)(x + 4) = 0. Therefore, the function will have vertical asymptotes at x = 6 and x = -4.

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Answer:

3/8

Step-by-step explanation:

There is 3/4 of pile and if half is eaten you are left with 3/8.

In Mathematics, when half of a pie (or '1/2') is eaten, the remaining fraction is the other half, which is also '1/2'. This is because a whole pie is considered '2/2', or 'one whole'.

The question is asking about a simple fraction operation in the realm of Mathematics. When you eat half of a pie, it essentially means you've consumed '1 out of 2' parts of the pie, or '1/2'. If this is the case, then the fraction that remains would naturally be the other half, or '1/2' as well.

This is because a whole pie is considered '2 out of 2' parts or '2/2', which equals 1, or 'one whole'. So if you eat half of it ('1/2'), the fraction that remains is the uneaten half, which is also '1/2'.

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Answer:

Certain

Step-by-step explanation:

The term probability describes the number chance that an event will happen.

The value of probability is 1 when an event is certain to happen.

An event that cannot possibly happen has a probability of 0.

The probability is between 0 and 1. If there is a chance that an event will happen.

The two angles on the bottom form a right angle so they need to equal 90 degrees.

X = 90 - 35

X = 55 degrees.

Answer:

x=55

Step-by-step explanation:

The angles x and 35 are complementary, or add to 90 degrees

x+35=90

Subtract 35 from both sides

x=55

Answer:

I'd say your answer should be (B.) A and B

Step-by-step explanation:

point B on your graph is in quadrant one.

also, your point is at (5,4) so both numbers of your point are positive.

therefore, your answer should be (B.) A and B

Hope this helps!

Answer:

-117

Step-by-step explanation:

Plug -10 in every time you see "x". Then, I used a calculator to evaluate the function (find the answer). Then, I got -117.

Hope this helped :)

Answer:

It's 15

Step-by-step explanation:

Got it right

The measure of B'C' after the dilation of 3 is given by the equation BC = 15

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be represented as ABC

Now , the dilated triangle is represented as A'B'C'

The dilation factor d = 3

The measure of side AB = 4 units

The measure of side BC = 5 units

The measure of side AC = 3 units

Now , after the dilation of 3 , we get

The measure of side A'B' = 12 units

The measure of side B'C' = 15 units

The measure of side A'C' = 9 units

Hence , the measure of side B'C' is 15 units

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Answer:

437,500

Step-by-step explanation:

The percentage value of amount of money spent on radio advertising is given by R = $ 437,500

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage value of amount of money spent on radio advertising be represented as R

Now , the total amount of revenue money = $ 50,00,000

The percentage of money spent on traditional media = 25 %

So , the amount of money spent on traditional media = percentage of money spent on traditional media x total amount of revenue money

On simplifying , we get

The amount of money spent on traditional media = ( 25/100 ) x 5000000

The amount of money spent on traditional media = $ 12,50,000

Now , the percentage of amount spent on radio advertising = 35 %

So , the amount of money spent on radio advertising = ( 35/100 ) x amount of money spent on traditional media

On simplifying , we get

The amount of money spent on radio advertising = ( 35/100 ) x 12,50,000

The amount of money spent on radio advertising = $ 4,37,500

Hence , the amount of money on radio advertising is $ 4,37,500

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