Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross multiplied to get 240 = 240. why is this? because the cross sums of the proportion are equal because the cross differences of the proportion are equal because the cross products of the proportion are equal because the cross quotients of the proportion are equal

Answers

Answer 1

Sonny get 240=240 because  the cross products of the proportion are equal.

Proportion : Two ratios are said to be in proportion when the two ratios are equal.

For Example , If Smith walks 5 km in 1 hour then he will walk 25 km in 5 hours. denoted by

[tex]\frac{5}{1} =\frac{25}{5} \\ \\ 5=5[/tex].

According to the given question the equation can be written as

[tex]\frac{16}{x} =\frac{48}{15}[/tex]

Sonny substituted 5 for x in the proportion , the equation can be written as

[tex]\frac{16}{5} =\frac{48}{15} \\ \\ Doing .the .cross.product\\ \\ 16*15=48*5\\ \\ 240=240[/tex]

Therefore , Sonny get 240=240 because  the cross products of the proportion are equal.

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Related Questions

Predict whether atoms of chlorine or atoms of sulfur would be more likely to attract electrons and, therefore, be more reactive. Explain your reasoning.

Answers

Chlorine will be more reactive.

Reactivity of elements

From the question, we are to predict whether the atoms of chlorine or atoms of sulfur would be more likely to attract electrons

The electronic configuration of chlorine (Cl) is

2,8,7

This means Cl needs only one electron to complete its octet configuration

and

The electronic configuration of sulfur (S) is

2,8,6

This means sulfur needs two more electrons to complete its octet configuration

Since chlorine needs fewer electrons to complete its octet configuration, then it will be more likely to attract electrons.

Thus, chlorine will be more reactive.

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[tex]\left[\begin{array}{ccc}1&&10\\2&&15\\3&&20\end{array}\right][/tex]Whats the verbal rule and the tenth term?

Answers

Answer:

أنا بصراحة لا أعرف

Step-by-step explanation:

أنا بصراحة لا أعرف

أنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرف

If f(x) = 4x12, what is f(2)?

Answers

The value of function comes out to be - 4

In the question x is the independent variable and f ( x ) = y is the dependent variable , which is dependent on x .

Given : f ( x ) = 4 x - 12

To find : f ( 2 )

Substituting value of x as 2 in function , we get

f ( 2 ) = ( 4 * 2 ) - 12

          = - 4

Hence , value of function comes out to be - 4 .

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A bee flies at 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 ​minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total of 18 minutes. Whats the distance?

Answers

Answer:

The distance between hive and flower bed is 2250 feet

Step-by-step explanation:

Find the value of UV
X=15 I think

Answers

Answer:

UV = 12

Step-by-step explanation:

SV = ST + TU + UV ( substitute values )

4x - 29 = 13 + 6 + 2x - 18

4x - 29 = 1 + 2x ( subtract 2x from both sides )

2x - 29 = 1 ( add 29 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Then

UV = 2x - 18 = 2(15) - 18 = 30 - 18 = 12

Proof diagram (50 points)!

Use the proof diagram to complete the question. State the missing reason in this proof for the letter given

Answers

The converse of corresponding angles theorem that proves that p║r is stated in the proof explained below (see proof below).

What is the Converse of Corresponding Angles Theorem?

If two corresponding angles are congruent to each other, the converse of the corresponding angles theorem states that the lines on which both corresponding angles lie are parallel to each other.

What is the Vertical Angles Theorem?

The vertical angles theorem is the theorem that justifies that when two angles are vertically opposite to each other, then they are congruent angles.

Given that, angle 1 is congruent to angle 5, to prove that lines p and r are parallel to each other, the statements and reasons stated below explains why they are parallel lines:

Statement                               Reason                                          

1. <1 ≅ <5                                 Given

2. <4 ≅ <1                              a. vertical angles theorem

3. <4 ≅ <5                             b. transitive property

4. p║r                                    c. converse of corresponding angles                        

                                                 theorem

Therefore, the converse of corresponding angles theorem that proves that p║r is stated in the proof explained above.

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Evaluate. 7+2^2⋅6+2^3−6
A.31

B.33

C.68

D.I don't know.

Answers

Answer:

B.33

Step-by-step explanation:

Searched it up.

I need help asap!!!! Thanks

Answers

Answer:

Your answer would be y= 1716-143x

Step-by-step explanation:

This is because you are starting with the initial price of $1716 and want to find out how many months (x) it will take to pay off the computer if he pays $143 per month.

Answer:

B y = 1716-143x

Step-by-step explanation:

cuz its right

a block of pine wood, 4.0cm on each side, has a mass of 27g. What is the density of this block show your work

Answers

Step-by-step explanation:

The block of wood is 3cm on each side so it is a cube.

The volume of a cube is given by s^3. So the volume of this block is 3cm x 3cm x3 cm = 27 cm^3.

density = mass/volume =27 g / 27 cm^3 = 1 g/cm^3.

the answer is 1 g/cm^3. I hope this helps!

2x-9=5x what is the value of x

Answers

The value of 'x' of the given equation 2x - 9 = 5x is -3.

What exactly is an equation?In its most basic form, an equation is a mathematical statement that proves two mathematical expressions seem to be equal.3x + 5 = 14 is an equation in which the expressions 3x + 5 and 14 are kept separate by an equal sign.

So,

2x - 9 = 5x2x - 5x = 9- 3x = 9x = -9/3x = -3/1x = -3

Therefore, the value of x of the given equation is -3.

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5,526,572,333 lottery tickets were sold last year. this year 4,223,526,869 lottery tickets were sold. about how many more tickets were sold last year than this year?

Answers

1303045464 more tickets were sold last year than this year.

According to the given question.

Number of lottery tickets were sold last year = 5,526,572,333

And, the total number of tickets sold this year = 4,223,526,869

To find the how many more tickets were sold last year than this year, we will subtract the number of of tickets sold this year from the number of lottery tickets were sold last year.

Therefore, the numebr of more tickets were sold last year

= 5,526,572,333 - 4,223,526,869

= 1303045464

Hence, 1303045464 more tickets were sold last year than this year.

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10 / 243.16 pls help me

Answers

Answer: hope it helps!!

0.0411251850633

Desmos graphing calculator is very helpful for these types of problems...

Answer:

Step-by-step explanation:

Expand    [tex]\frac{10}{243.16}[/tex]

 by multiplying both numerator and the denominator by 100.

[tex]\frac{1000}{24316}[/tex]

Reduce the fraction  

[tex]\frac{1000}{24316}[/tex]

 to lowest terms by extracting and canceling out 4.

[tex]\frac{250}{6079}[/tex]

What is 943,158,670.3491 rounded to the 10 millions? PLEASE ANSWER ASAP!

Answers

Answer:

I believe the answer is 943,158,670.349

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

940,000,000

Step-by-step explanation:

943,158,670.3491

The leftmost 4 is the 10,000,000 place.

943,158,670.3491 rounded to the 10 million is:

940,000,000

Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.

3.5 x 10 8
0.35 x 10 9
3.5 x 10 9
0.35 x 10 25

Answers

The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity written in scientific notation is 0.35 x 10^9. option B

Scientific notation

(3.185 × 10^17) ÷ (9.1 × 10^8)

= (3.185 ÷ 9.1) × 10^(17-8)

= (0.35 × 10^9)

Therefore, the quantity (3.185 × 10^17) ÷ (9.1 × 10^8) written in scientific notation is (0.35 × 10^9).

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Help me with this please

Answers

Answer:

5555

Step-by-step explanation:

because it was the highest in there

I think this is the answer but i can't confirm because your theory and my theory can be different

a 5-letter password is to be constructed from the following letters: {a, b, c, d, e}. the password must contain exactly 3 of the letters. (obviously at least one of them will need to be used more than once to create a 5-letter password.)

Answers

If A,B, and C are the letters selected and we use A twice, B twice, and C once. The number of ways different passwords exist in this scenario are 30.

What is a password?

A password, sometimes known as a passcode (in devices made by Apple, for instance), is a hidden piece of information that is typically a long string of characters and is used to verify a user's identity. Passwords were always thought to be memorized, but today's average person has access to a huge number of password-protected services, making it difficult to remember a different password for each one. The secret is kept by a party known as the claimant, and the person confirming the claimant's identity is known as the verifier, according to the nomenclature of the NIST Digital Identity Guidelines. The verifier can determine the identity of the claimant when the claimant successfully uses a recognized authentication technique to show the verifier that they know the password.

A, B and C are selected

A is used twice B is used twice and C is once

Total ways = 5!/2!.2! = 30

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show work needed with this question!

Answers

Answer:

The final value is 8750

Step-by-step explanation:

First step is to find the increase

3500 * 150%

3500 * 1.5

5250

Now we need to add the increase to the starting value

3500 + 5250

8750

The final value is 8750

11 1/2 + 9 1/4 =????????​

Answers

Mixed number- 20 3/4
Decimal form-20.75
Improper fraction- 83/4

Have a good day :)
11 1/2 + 9 1/4 = 20 3/4
11 2/4 + 9 1/4= 20 3/4

since 1/2 is equal to 2/4

When a patient with hypertension takes a particular type of blood pressure medication, the effects on the systolic pressure, S(t), can be measured by the following piecewise defined function: S of t is equal to the piecewise function of 140 minus 6 times t if 0 is less than or equal to t is less than or equal to 4 and 116 if 4 is less than t is less than 8 and 96 plus 8 times t if 8 is less than or equal to t is less than or equal to 12 where t is the time, in hours, since taking the medication. Based on the graph of the piecewise function, if the patient takes the blood pressure medication at 8 a.m., in which interval will their systolic pressure be lowest?

Answers

The interval where the systolic pressure will be lowest is from 12 PM to 2 PM.

What are the domain and ranges of a function ?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

A function S(t) is defined for systolic pressure.

S(t) = { 140 - 6t , for 0 ≤ t ≤ 4 }

S(t) = { 116 , for 4 < t < 8 }

S(t) = {96 + 8t , for 8 ≤ t ≤ 12 }

Let's find the values of systolic pressure [tex]S(t)_{min}[/tex] for each cases.

When , 0 ≤ t ≤ 4

[tex]S(t)_{min}[/tex] = 140 - ( 6 × 4 )

[tex]S(t)_{min}[/tex] = 140 - 24

[tex]S(t)_{min}[/tex] =  116

When , 4 < t < 8

[tex]S(t)_{min}[/tex] =  116

When , 8 ≤ t ≤ 12

[tex]S(t)_{min}[/tex] = 96 + ( 8 × 8)

[tex]S(t)_{min}[/tex] =  96 + 64

[tex]S(t)_{min}[/tex] =  160

So , the lowest value of S(t) will be 116 for for 4 < t < 8  and interval will be from 12 PM to 2 PM.

Therefore , the interval where the systolic pressure will be lowest is from 12 PM to 2 PM.

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10 is at most the quotient of 5 and a number n? What the number form

Answers

The number form for the question you are asking is 789.363626273838484848

Which of the following is equivalent to the expression 6z - 9?

A. The quotient of 6 times a number z and 9

B. 6 times the difference of a number z and 9

C. 6 less than the product of 9 and a number z

D. 9 less than 6 times a number z

Answers

Answer:

c is the correct answer!

You have $100 in your bank account. If it doubles every month and you started back in Jarwary.
how much money will you have by May?

Answers

Answer:

I think 1,600

Step-by-step explanation:

A triangle contains vertices A (-3, 2), B (1, 2), and C (-4,-2).
If AABC is rotated 90° counterclockwise around the origin, what are the coordinates of the transformed figure AA'B'C'?

Answers

The coordinates of the triangle A'B'C' which is rotated 90° counterclockwise is  A' (-2,-3) ,  B' (-2,1) , and C' (2,-4).

When the points are rotated 90° counterclockwise then the new coordinates will be transformed to

      (x , y ) = (-y , x)

According to the question we have been the coordinates of the ΔABC which are :

  A = (-3,2)  ,  B = (1,2) and  C = (-4,-2)

When the triangle is rotated 90° counterclockwise the new coordinates will become

        A' = (-2,-3)

        B' = (-2,1)

        C' = (2,-4)

Hence the coordinates of the triangle A'B'C' which is rotated 90° counterclockwise is  A' (-2,-3) ,  B' (-2,1) , and C' (2,-4).

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h(x) = ³√x - 3 write the inverse given the function

Answers

The inverse of the function h(x) = ³√x - 3 is h⁻¹(x) = (x + 3)³.

What is termed as the inverse of the function?An inverse function is one that reverses the action of another function. A function g has become the inverse of a function f when and only when y=f(x) and x=g (y). In other words, using f and then g is equivalent to doing nothing. This can be written as g(f(x))=x in terms of the combination of f and g.

The given function is-

h(x) = ³√x - 3

Put y = h(x);

h(x) = y =  ³√x - 3

Make x the subject;

x = (y + 3)³

Replace x with h⁻¹(y) = (y + 3)³

Restate with x instead of y.

h⁻¹(x) = (x + 3)³

Thus, the inverse of the function h(x) = ³√x - 3 is h⁻¹(x) = (x + 3)³.

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Determine the y-intercept for the equation 3x + 2y = 12.
Group of answer choices

Answers

Step-by-step explanation:

Hope this helps with the problem

A repair company's charge for repairing a certain type of copy machine fits the model where y is the number of dollars charged and x is the number of minutes the repair person is on the job. how many minutes would it take for the cost of repair to reach $140? (round to the nearest minute.)

Answers

It will take 138 minutes for the repair cost to reach $140

Although part of your question is missing, you might be referring to this full question: A repair company's charge for repairing a certain type of copy machine fits the model y = 47.38 +0.617x. Where y is the number of dollars charged and x is the number of minutes the repair person is on the job. how many minutes would it take for the cost of repair to reach $140? (round to the nearest minute.)

As per the question:

Number of dollars charged by the company = y dollars

Number of minutes the repair person is on the job = x minutes

The cost that needs to be achieved = 140 dollars

Equation:

y = 47.38 + 0.617x------(1)

For the cost of repair to reach $140, substituting $140 in y in equation (1)

140 = 47.38 + 0.617x

Solving further and finding the value of x

140 - 47.38 = 0.617x

92.62 = 0.617x

x = 138 minutes (rounded to the nearest minute)

So, it will take 138 minutes for the repair cost to reach $140

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When 18 is subtracted from six times a certain number, the result is − 42. What is the number?

Answers

Answer: the unknown number is -4.

Step-by-step explanation:

Hope this helps!

Answer:

-4

Step-by-step explanation:

6x-18=-42

6x=-42+18

6x=-24

x=-24/6

x=-4

is there an ordered pair that is in the solution to both of these linear equations


Answers

Answer:

(- 4, 2 )

Step-by-step explanation:

y = 3x + 14 → (1)

2x - 3y = - 14 → (2)

substitute y = 3x + 14 into (2)

2x - 3(3x + 14) = - 14 ← distribute parenthesis on left side and simplify

2x - 9x - 42 = - 14

- 7x - 42 = - 14 ( add 42 to both sides )

- 7x = 28 ( divide both sides by - 7 )

x = - 4

substitute x = - 4 into (1)

y = 3(- 4) + 14 = - 12 + 14 = 2

solution is (- 4, 2 )

for the data in the excel file grade point averages, find 90%, 95%, and 99% confidence intervals for the mean gpa. compute the confidence intervals using the appropriate formulas and verify your results using the excel confidence intervals template.

Answers

The labels in the spreadsheet are in column B, while the score values are in column A. Column C's cells are where the command operations take place. The test results are distributed between 82.516 and 87.85 by adding and subtracting the test score confidence value of 2.667 from the mean of 85.183. Excel instantly translates the formula to the result when you enter the command functions and press "Enter," giving the confidence level of 97% given the alpha value of 0.03, or 3%.

What is excel confidence interval function ?

The Excel Statistical Functions section contains the CONFIDENCE Function. The confidence interval for a population mean will be calculated using the normal distribution, and it will then be returned. For financial analysis, Excel's confidence interval tool is quite helpful. That enhances financial decision-making by enabling financial analysts to anticipate and adjust for a variety of financial goals. To do this, financial data is graphically represented together with a set of distribution parameters. Based on the statistical data offered by the normal distribution, analysts can make better financial decisions. For example, they can determine the relationship between revenue made and income spent on luxuries.

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A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size.

What is the original size of the bottle?
Round your answer to the nearest tenth.

Answers

5% of 18.4 is .9. subtract 18.4 and .9 and you get 17.5. hope this helps.
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