Eric takes a train to his parent’s house 320 miles away. If the trip takes 4 hours, what is the unit rate of the train?

One equivalent ratio is 1:6

To get this ratio, you divide both parts of 2:12 by 2

2/2 = 1

12/2 = 6

So that's why 2:12 is equivalent to 1:6

From here we could multiply both parts by say 3

1*3 = 3

6*3 = 18

Meaning that 1:6 and 2:12 are equivalent to 3:18

==============================================

Two possible answers are 1:6 and 3:18

There are infinitely possible answers

Answer: p(-4)=0

Step-by-step explanation:

100% correct

If x + 4 is factor of polynomial p than p(-4) = 0. Hence, option C. is correct.

(x + 4) is a factor of polynomial p

Factors can be define splitting the value in multipliable values.

If x + 4 is factor of the polynomial p
This can be true only if,
x + 4 = 0
x = -4, satisfy the polynomial equation i.e.
p(-4) = 0

Thus, x + 4 will be the factor of polynomial p only if p(-4) = 0.

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Answer:

87 cans left

Step-by-step explanation:

multiply.16 x 6 =96 then you subtract 9 and you get 87 cans

There are 87 cans of cola left.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If there are 6 cans in a pack, and you bought 16 packs.

Total cans.

= 6 x 16

= 96 cans

If you drank 9 cans, then the number of cans left.

=  96 - 9

= 87 cans.

Therefore,

There are 87 cans of cola left.

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Answer:

answer is 7.9 will 2 by 2 9 routing reading swimming on a rope and length to 1188 answer is land to hoga tomato hoga to answer to yahi hai gana

Answer:

12

Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]

Answer:

36

Step-by-step explanation:

Answer:

[tex] \sqrt{ \frac{c}{2} } = r[/tex]

Step-by-step explanation:

c=2rr

c = 2r×r

c= 2r²

c/2= r²

[tex] \sqrt{ \frac{c}{2} } = \sqrt{ {r}^{2} } \\ \\ \sqrt{ \frac{c}{2} } = r[/tex]

Given problems;

Interpret mathematically;

5. X to the fourth power plus the product of six and the square root of nine.

          X⁴  + (6 x [tex]\sqrt{9}[/tex])

X to the fourth power  X⁴

Plus    +

product of six   6 x

square root of nine    [tex]\sqrt{9}[/tex]

6. Fifteen plus eight cubed minus the sum of fourteen and six squared.

Fifteen                                   15

plus eight cubed                 + 8³

minus                                      -

the sum of fourteen and six squared  (14 + 6²)

                15 + 8³   -    (14 + 6²)

7. The product of three and fifteen minus nine plus the quotient of fifteen and three.

product of three and fifteen                         (3 x 15)

 minus nine                                                          - 9

plus the quotient of fifteen and three          + ([tex]\frac{15}{3}[/tex])

            (3 x 15) - 9 +  ( [tex]\frac{15}{3}[/tex])

8. The product of seventeen and y, plus the square root of eighty-one minus the product of six and x minus four.

The product of seventeen and y                              (17 x y)          

plus the square root of eighty-one                         + [tex]\sqrt{81}[/tex]

minus the product of six and x minus four            - (6 x X)

minus four                                                                       -4

(17 x y)   + [tex]\sqrt{81}[/tex] - (6X)  - 4

Answer:

a: copper wire is the largest

b: he will have both 32 if he cuts the copper shorter

Step-by-step explanation:

Answer:

48.668 ≤ μ ≤ 63.332

Step-by-step explanation:

Given the data:

Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50

Number of samples (n) = 10

α = 95% = 0.05

Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence

True mean = μ

Confidence interval :

m ± t(α/2 ; df) * s/√n

m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n

m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9

Calculating the sample mean and standard deviation using calculator to save computation time :

71, 45, 54, 75, 50, 49, 63, 55, 48, 50

m = 56 ; s = 10.25

m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n

From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262

56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)

48.668 ≤ μ ≤ 63.332

Answer:

Find the exact value using trigonometric identities.

100

Step-by-step explanation:

The exact value of 2 divided by (0.01) 2 is 20000.

We are given that;

2 divided (0.01)2

Now,

To find the exact value of 2 divided by (0.01) 2, we can use the following steps:

Rewrite 0.01 as a fraction: 0.01 = 1/100

Square both the numerator and the denominator: (0.01) 2 = (1/100) 2 = 1/10000

Flip the fraction and multiply by 2: 2 / (0.01) 2 = 2 x 10000/1 = 20000

Therefore, by algebra the answer will be 20000.

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Answer:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180

Step-by-step explanation:

Let the price of one Balcony seat = $[tex]x[/tex]

Let the price of one Ground level seat = $[tex]y[/tex]

Let the price of one VIP seat = $[tex]z[/tex]

As per the given table:

[tex]135x+280y+29z=37170 ....... (1)\\150x+270y+58z=42240 ....... (2)\\130x+265y+29z=35570 ....... (3)[/tex]

Multiplying (1) with 2 and subtracting (2) from it:

[tex]120x+290y=32100 \\12x+29y=3210..... (4)[/tex]

Subtracting (3) from (1):

[tex]5x+15y=1600\\x+3y=320 ....... (5)[/tex]

Multiply equation (5) with 12 and subtracting (4) from it:

[tex]7y=630\\\Rightarrow y =\bold{90}[/tex]

By equation (5), putting value of [tex]y[/tex]:

[tex]x=\bold{50}[/tex]

By equation (1), putting the values of [tex]x, y:[/tex]

[tex]135\times 50+280\times 90+29z=37170\\\Rightarrow 29z=37170-31950\\\Rightarrow 29z=5220\\\Rightarrow z =\bold{180}[/tex]

Therefore, the answers are:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180

Answer:

D

Step-by-step explanation:

Just came from the quiz

Answer:

22-9=16

so,

22-9

is 16

then you would take

16=16

so, you would have to divide the 2 numbers

then 1 is your answer

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

Step-by-step explanation:

Find a common denominator (12)

For 3/4, multiply the numerator and denominator by 3 to get 9/12

For 1/6, multiply by 2 to get 2/12 and then add the fractions to get 11/12

Answer: 11/12

Answer:

66.34

Step-by-step explanation:

if my calculations are correct it should be 66.34

The answer should be 66.34

Answer:

14 hours

Step-by-step explanation:

Jason get 12 dollars and hour so if you do 12×14 you get 168. the awnser wouldn't be 13 because 12×13 equals 157 which isn't enough.

hope this helps

Answer:

2 1/6 hours

Step-by-step explanation:

2 1/3 + 1 1/2 + x = 6

convert all mixed numbers to improper fractions

7/3 + 3/2 + x = 6/1

change all numbers to have a common denominator

14/6 + 9/6 + x = 36/6

combine like terms

23/6 + x = 36/6

subtract 23/6 from both sides

x = 13/6

convert improper fraction to mixed number

2 1/6

Answer:

x = No Real Solutions

Step-by-step explanation:

[tex]-10x^2+7x+1=37[/tex]

37-1=36; [tex]-10x^2+7x+(-36)=0[/tex]

[tex]x=\frac {-7(+/-)\sqrt{7^2-4(-10)(-36)}} {2^-10}[/tex]

[tex]x=\frac {-7(+/-)\sqrt{-1391}} {-20}[/tex]

x = No Real Solutions

Answer:

n = -2

Step-by-step explanation:

n − 8 = −10

n = -2

Answer:

n = -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

                Length = 9 in

                Width = 12 in

The dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

Let l be the length and w  be the width of the rectangle.

Length l = 3 + w

Perimeter P = 42 in

Perimeter = 2l + 2w

42 = 2(3 + w) + 2w

w = 36/4

w = 9 in

solve for l by substituting the value of w = 9 into the equation:

l = 3 + w

l = 3 + 9

l = 12 in

Thus, the dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

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Answer:

Step-by-step explanation:

7 - (6x + 3)

7 - 6x - 3 = 4 - 6x

Answer:

i think you do 175 x 1. 175 x 2. 175 x 3, and 175 x 4

Step-by-step explanation:

Answer:

perimeter is 76

area is 330

hope this helps if you can brainliest plz

Answer:

98

Step-by-step explanation:

Answer:

It's actually D (2x - 1)(x+1)

Step-by-step explanation:

The required factor of the polynomial 2x³ - 3x² - 3x + 2 is (2x - 1)(x + 1).

Given that,
One factor of the polynomial 2x3 -3x2 – 3x + 2 is (x - 2), which expression represents the other factor, or factors, of the polynomial is to be determined.

factors can be defined by splitting the value into multipliable values.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
x - 2 is one factor of 2x³ - 3x² - 3x + 2 than
( 2x³ - 3x² - 3x + 2 ) / x - 2 = 2x² + x -1 = (2x - 1)(x + 1)

Thus,  the required factor of the polynomial 2x³ - 3x² - 3x + 2 is (2x - 1)(x + 1).

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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The  97% confidence interval is  [tex]1528  <  \mu <  1612 [/tex]

b

Option A and  Option D  are correct

Step-by-step explanation:

From the question we are told that

     The sample size is n =  119

     The  sample  mean is [tex]\$ 1570[/tex]

    The  population standard deviation is  [tex]\sigma  =  \$ 211[/tex]

    Generally given that the confidence level is  97% then the level of significance is mathematically represented as

      [tex]\alpha = (100 - 97 )\%[/tex]

=>    [tex]\alpha = 0.03[/tex]

From the normal  distribution table  the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

     [tex]Z_{\frac{\alpha }{2} } =  2.17[/tex]

Generally the margin of error is mathematically represented as

     [tex]E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }[/tex]

    [tex]E =  2.17*  \frac{211}{\sqrt{ 119 } }[/tex]

=>   [tex]E =   41.98 [/tex]

Generally the 97% confidence interval is mathematically represented as

     [tex]\= x  - E  <  \mu <  \= x  + E[/tex]

=>    [tex]1570  - 41.98  <  \mu <  1570  + 41.98 [/tex]

=>    [tex]1528  <  \mu <  1612 [/tex]

Generally looking at confidence interval we see that the width is dependent on the size of the margin of error.

Generally the margin error is directly proportional to the  critical value of  [tex]\frac{\alpha }{2}[/tex] which increases when the confidence level increases and vise versa

Also the margin error is inversely proportional to the square root of  sample size

Hence to reduce the width of the confidence interval we need to lower the confidence level  and increase the sample size

Answer: A

Step-by-step explanation:

The |13| means absolute value. Absolute value tells you that the value inside is always positive. Even if you have a negative number in the absolute value bars, it automatically becomes positive.

|13|-|-7|           [rewrite without absolute value]

13-7                [subtract]

6

Now, we know that the answer is 6.

Answer:

i think 6

beacase 13-71 is 6