The distance between New York and Philadelphia by railroad is 90 miles; the distance between them by river and ocean is 240 miles. What fraction of the second distance is the first one?

Answer:

The amount of water to be added is ¹/₄ gallon

Step-by-step explanation:

Given;

amount of pure antifreeze at 100% = 1 gallon

let the amount of water to be added with 0% antifreeze = (x) gallon

then, the amount of mixture at 80% antifreeze = (x + 1) gallon

For conservation of mass, we will have the following equation;

(1 x 1) + (0)(x) = 0.8(x +1)

1 = 0.8x + 0.8

0.8x = 1 - 0.8

0.8x = 0.2

x = 0.2 / 0.8

x = ²/₈

x = ¹/₄ gallon

Therefore, the amount of water to be added is ¹/₄ gallon

Answer:

2 significants choes the least significant digets which is 19.35

result is 221,267.25

The new square is smaller.

Answer:

the answer would be 4

Step-by-step explanation:

because 120 divided by 30 is 4

Answer:4 apples fall per second/ in one second

Step-by-step explanation:

4 x 30 = 120

120 / 30 = 4

Answer:

1470 seconds

Step-by-step explanation:

56=8 seconds

1 second= 56÷8=7

Ans=7×210=1470

Answer:

What is the scale factor? 1/10

What is the length of A? 1

What is the length of B? 8.5

Step-by-step explanation:

The scale factor and missing measures are 1/10, A = 1, B = 8.5

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given are measurements of two triangles, we need to find the missing sides and the scale factors,

So, the scale factor = new measurement / original measurement = 6.2/62 = 1/10

Now, using the definition of the similar triangles, the ratio of the corresponding sides are equal,

62/6.2 = 85/B

10 = 85 / B

B = 8.5

Now,

62/6.2 = 10/A

10 = 10/A

A = 1

Hence, the scale factor and missing measures are 1/10, A = 1, B = 8.5

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Answer: A

Step-by-step explanation:

The coefficient of determination is a number between 0 and 1 used to measure the level of precision with which the regression model created fits the data. A measure of means that the model explains the entire variation between the two variables without error.

Therefore, in this case, if  means that the 9 points are on the line

Answer:

Therefore, in this case, it means that the 9 points are on the line

Step-by-step explanation:

Answer:

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

STEP  

2

:

Equation at the end of step

2

:

STEP

3

:

           10x3 - 3x2 - 7x + 3

Simplify   ———————————————————

                 2x - 1        

Checking for a perfect cube :

3.1    10x3 - 3x2 - 7x + 3  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  10x3 - 3x2 - 7x + 3  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x + 3  

Group 2:  10x3 - 3x2  

Pull out from each group separately :

Group 1:   (-7x + 3) • (1) = (7x - 3) • (-1)

Group 2:   (10x - 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(x) = 10x3 - 3x2 - 7x + 3

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  10  and the Trailing Constant is  3.

The factor(s) are:

of the Leading Coefficient :  1,2 ,5 ,10

of the Trailing Constant :  1 ,3

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -3.00      

     -1       2        -0.50        4.50      

     -1       5        -0.20        4.20      

     -1       10        -0.10        3.66      

     -3       1        -3.00        -273.00      

     -3       2        -1.50        -27.00      

     -3       5        -0.60        3.96      

     -3       10        -0.30        4.56      

     1       1        1.00        3.00      

     1       2        0.50        0.00      2x - 1  

     1       5        0.20        1.56      

     1       10        0.10        2.28      

     3       1        3.00        225.00      

     3       2        1.50        19.50      

     3       5        0.60        -0.12      

     3       10        0.30        0.90      

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  10x3 - 3x2 - 7x + 3  

can be divided with  2x - 1  

Polynomial Long Division :

3.4    Polynomial Long Division

Dividing :  10x3 - 3x2 - 7x + 3  

                             ("Dividend")

By         :    2x - 1    ("Divisor")

dividend     10x3  -  3x2  -  7x  +  3  

- divisor  * 5x2     10x3  -  5x2          

remainder         2x2  -  7x  +  3  

- divisor  * x1         2x2  -  x      

remainder          -  6x  +  3  

- divisor  * -3x0          -  6x  +  3  

remainder                0

Quotient :  5x2+x-3  Remainder:  0  

Trying to factor by splitting the middle term

3.5     Factoring  5x2+x-3  

The first term is,  5x2  its coefficient is  5 .

The middle term is,  +x  its coefficient is  1 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   5 • -3 = -15  

Step-2 : Find two factors of  -15  whose sum equals the coefficient of the middle term, which is   1 .

     -15    +    1    =    -14  

     -5    +    3    =    -2  

     -3    +    5    =    2  

     -1    +    15    =    14  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

3.6    Cancel out  (2x-1)  which appears on both sides of the fraction line.

Final result :

 5x2 + x - 3

The quotient when 10x³-3x²-7x+3 divided by 2x-1 is -21/8.

To calculate the quotient of the equation 10x³-3x²-7x+3 when it is divided by 2x-1, we use the quotient theorem.

Remainder theorem

The quotient theorem states that if f(x) is divided by x-a, then the remainder is f(a).

From the question,

Given:

The quotient is f(1/2), we substitute the value of x as 1/2 into equation 1

Hence, The quotient when 10x³-3x²-7x+3 divided by 2x-1 is -21/8.

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Answer:

If your doing 4 thousand and some hundreds then the answer is 19 hundred, But if your doing just hundreds the answer is 59 hundreds.

Step-by-step explanation

5900/100 = 59

Answer:

0.502

Step-by-step explanation:

There are 327 members of a professional organization, of which 164 are over the age of 50.

The probability that a randomly selected member of the organization is over the age of 50 is calculated as:

Probabilty = 164 members/327 members

= 0.501529052

Approximately = 0.502

Therefore, the probability of the randomly selected member is over the age of 50 is 0.502.

Answer:

Step-by-step explanation:

Answer:

1.18

Step-by-step explanation:

First we have established that 9.44 is the total, and we know that there are 8 batteries in each pack. This is a problem of division.

By first identifying key words like each and total, you can safely assume it will be a division problem.

First step: Dividing the total with the number of batteries in the singular pack gives you a valid answer

9.44÷8=1.18

Second step: To make sure you didn't miscalculate, you can use: 1.18×8, which is equal to the total.

Answer:

Algebraic expression for 75 less than twice Mabel's score is 2m-75

Step-by-step explanation:

We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.

Translating into algebraic expression

Let m represent Mabel's score

Twice Mabel's score = 2m

75 less than Twice Mabel's score = 2m-75

So, algebraic expression for 75 less than twice Mabel's score is 2m-75

Answer:

70.574

Step-by-step explanation:

7.1 × 9.94= A

9.94

7.1

-------

70.574

A= 70.574

(when multiplying decimals do not line up the dot and solve it as if there was no decimals point. when you get your answer count the amount of digits on the right side of the number going to the left on your answer.

in this case there are three digits on the right side of the decimals you count three spaces to the left of your answer wich is 574. put the decimal point infront of the 5 and you get you answer. 70.574

Answer:

Graph the line of y=11.06x+4

Step-by-step explanation:

First write the equation of the line you want to graph. In this case the values are 11.06 as m, and 4 as the y-intercept (b). If you substitute the values into y=mx+b. Then you need to graph it. Plot the y-intercept, then use rise/run to complete the rest of the points and the line.

Answer:

The third angle is 128 degrees

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees, therefore we can set up the equation x+34+18=180 to find the missing angle. Solving the equation gets us x=128

Answer:

Angles of a triangle add up to 180 degrees. The third angle would be 128 degrees.

Step-by-step explanation:

34 + 18 = 52

180 - 52 = 128

Answer:

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

0.7x-1.4=-3.5

Add 1.4 to both sides:

0.7x=-2.1

Divide 0.7 from both sides:

x=-3

Answer:

All x-values larger than or equal to 5 ([tex]x\geq 5[/tex])

Step-by-step explanation:

Notice that the graph of

[tex]f(x)=-\sqrt{x}[/tex]

is defined for all real x-values larger than or equal to zero, since the square root is defined only for such values.

When we shift the graph to the right 5 units, the function becomes:

[tex]f(x)=-\sqrt{x-5}[/tex]

then the radicand x-5 must be larger than or equal to 0 in order to render real values. Then we have:

[tex]x-5\geq 0\\x\geq 5[/tex]

which means that now the Domain becomes the following set (in set builder notation):

[tex]Domain=\left \{ x\,|\,x\geq 5 \right \}[/tex]

Answer:

The answer is A :)

Step-by-step explanation:

Answer:

$59768.28

Step-by-step explanation:

5.5*36=198

3.25*36=117

117*198=23166

23166*2.58= thats a big room, let alone a lot of money

Answer: None

Step-by-step explanation:  You need more info to answer that question so I would just put that you don’t know much about the question.

Answer:

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

Step-by-step explanation:

Scaling

The scale factor established to represent a desk 2 meters long and 1 meter wide is:

1 centimeter = 0.5 meter

We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:

[tex]\displaystyle \frac{1\ cm}{0.5\ m}[/tex]

to get the scaled dimensions.

The length of 2 meters is scaled to:

[tex]\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm[/tex]

And the width of 1 meter is scaled to:

\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

Answer:

-2 or -3 or even -4

Any number from -9 to -1 would be greater than -10

Answer:

each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya

Step-by-step explanation: