The length of a rectangle is 6 more than its width. The perimeter of the rectangle is 60 feet. If w is the width of the rectangle, which expression represents the length?

w+5

w−5

5w

1/5w

If  the number lies between 60 and 70 then the number is 63

The given parameters are

LCM = 126

Second number = 42

The initial number is said to be between 60 and 70

The only number between 60 and 70 that has the same common factor as 126 and 42 is 63

Hence, if the number lies between 60 and 70 then the number is 63

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Answer:

The way I would best say is listing all the multiples then circle all the ones that are alike then find the lowest one they all have.

Example

Find the common multiples of 12,15,20

Multiples of 12:12, 24, 36, 48, 60, 72, 84, 96, 120……….

Multiples of 15:15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405,……..

Multiples of 20:20, 40, 60, 80, 100, 120, 140, 160, 180, and 200.

Step-by-step explanation:

They all have 60 so your lcm is 60

If the speed limit in Canada is 100km/hr than it's limit in mi/hr will be 62.15 mi/hr.

It is given in the question that 1.609 km = 1 mi

So , 1km= 1/1.609 mi

1km = 0.6215 mi

So if a car travels 1 km in 1 hr then it will travel 0.6215 miles in hr.

that means 1km/hr = 0.6215mi/hr

Now ,

to convert 100km/hr to mi/hr

we have  ,

100km/hr = 100*0.6215 mi/hr

=62.15 mi/hr

Therefore , If the speed limit in Canada is 100km/hr than it's limit in mi/hr will be 62.15 mi/hr.

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Given that

To find

So, according to the question

We have,

∵ From figure m∠1 and m∠2 divided 90° into two parts

∴       m∠1 + m∠2  = 90° ----------------------(1)

Now putting the values of m∠1 and m∠2 in equation (1)

        m∠1 + m∠2  = 90° ----------------------(1)

       (x+38)° + 3x° =  90°

       x°+38° + 3x° =  90°

                     4x° =  90° - 38°

                     4x° =  52°

                     x° =  (52/4)°

                     x° =  13°

So,

                m∠1 = (x+38)°

                        = (13+38)°

               m∠1 = 51°  

And

                m∠2 = 3x°

                        = (3 × 13)°

                m∠2 = 39°

The angles are

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

Work Shown:

1 cm = 0.01 yards

66.75*(1 cm) = 66.75*(0.01 yards)

66.75 cm = 0.6675 yards

1 yard = 3 feet

0.6675*(1 yard) = 0.6675*(3 feet)

0.6675 yards = 2.0025 feet

1 foot = 12 inches

2.0025*(1 foot) = 2.0025*(12 inches)

2.0025 feet = 24.03 inches

Answer:

2 because the unit rate is not the same for all the others it is consistant

Step-by-step explanation:

Answer:

b= √2ca /a

Step-by-step explanation:

it was a question on my test yesterday

Using Distributive Property, we have;

13) 5(m - 2) = ((5*m) + (5 * -2))

14) 8(y + 2) = ((8*y) + (8 * 2))

15) -3(m + 4) = ((-3*m) + (-3 * 4))

16) a(a + 3) = ((a*a) + (a * 3))

17) h(h - 2) = ((h*h) + (h * -2))

18) 2m(m + 4) = ((2m*m) + (2m * 4))

19) -2(z - 8) = ((-2*z) + (-2 * -8))

20) -4x(x - 10) = ((-4x*x) + (-4x * -10))

The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC

13) 5(m - 2) expressed using distributive property is;

((5*m) + (5 * -2))

14) 8(y + 2) expressed using distributive property is;

((8*y) + (8 * 2))

15) -3(m + 4) expressed using distributive property is;

((-3*m) + (-3 * 4))

16) a(a + 3) expressed using distributive property is;

((a*a) + (a * 3))

17) h(h - 2) expressed using distributive property is;

((h*h) + (h * -2))

18) 2m(m + 4) expressed using distributive property is;

((2m*m) + (2m * 4))

19) -2(z - 8) expressed using distributive property is;

((-2*z) + (-2 * -8))

20) -4x(x - 10) expressed using distributive property is;

((-4x*x) + (-4x * -10))

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Answer:

for the plug-in settings to determine

Step-by-step explanation:

GG from Shahs of sunset Blvd suite is the best way to the answer to the answer to the answer to the plug-in the plug-in the whole thing is I don't have a email the e I m not sure if you have any questions or concerns please visit the plug-in settings to determine

Mean = 0.5545, Median =0.57, Mode = 0.79  of the following data.

What is mean median and mode?

For the given data 0.29, 0.3, 0.34, 0.35, 0.37, 0.46, 0.51, 0.51, 0.52, 0.57, 0.57, 0.58, 0.62, 0.63, 0.65, 0.68, 0.77, 0.79, 0.79, 0.79.

The mean is calculated as:

Mean = (0.29 + 0.3 + 0.34 + 0.35 + 0.37 + 0.46 + 0.51 + 0.51 + 0.52 + 0.57 + 0.57 + 0.58 + 0.62 + 0.63 + 0.65 + 0.68 + 0.77 + 0.79 + 0.79 + 0.79)/20

= 11.09/20

Mean = 0.5545

Median is the middle value of the data set and since the sample size is even which is 20 hence the median is found between n/2 and n/2 +1 which is 10th value and 11th value when the data set is arrange in ascending order.

so, the 10th value is 0.57 and 11th value is also 0.57 so, the median is (0.57 + 0.57)/2 = 0.57

Median:

The median is the most occuring value in the dataset and as we can see that 0.79 appeared 3 times hence 0.79 is Mode.

So, finally:

Mean = 0.5545

Median =0.57

Mode = 0.79

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Answer:

I think is higher

Step-by-step explanation:

Answer: 64t^2

Step-by-step explanation:

everything in the parenthesis has to get the exponent so it first becomes 8^2t^2 and then you simplify

Answer:

64t^2

Step-by-step explanation:

First, you need to distribute the exponent

8^2*t^2

Then you need to simplify

64t^2

And thats the answer

Answer:

the answer is D

Step-by-step explanation:

because it has two straight lines

70? Is this a trick question?

Answer:

It will be 70

Step-by-step explanation:

Because poor number from 0 to 4

The meaning of |-36| is  the absolute value of negative 36.

We know that, the absolute value of any real number m is the positive value of m.

For any ±m ∈ R,

| ±m | = m

The absolute value of a number is also know as modulus of number.

In this question we have been given an absolute value |-36|

|-36| = 36

So, the meaning of |-36| would be,

- the absolute value of negative 36

Therefore, the meaning of |-36| is  the absolute value of negative 36.

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Answer:

43 10/19

Step-by-step explanation:

The time taken to  fill the tank using a pump that pumps 25L per minute

is 30.4 minutes

Given that A 1000L tank now contains 240L of water and asked the time taken to  fill the tank using a pump that pumps 25L per minute.

The amount of water that can be filled in tank=760L

Given that a pump that pumps 25L per minute ,

The time required to fill 760L {if a pump that pumps 25L per minute }=[tex]\frac{760}{25}[/tex]

The time required to fill 760L {if a pump that pumps 25L per minute }=30.4 minutes

Therefore,The time taken to  fill the tank using a pump that pumps 25L per minute is 30.4 minutes

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Answer:

24

Step-by-step explanation:

8. 6

16. 12

24. ✔️ 18

32. 24✔️

40. 30

48. 36

56. 42

64. 48

72. 54

80. 60

Answer: The answer is 16.62

4(4+7) is the equivalent expression uses GCF and Distributive Property to find the sum of to 16+28.

The greatest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x and y. As a result, the greatest common factor is also referred to as the Highest Common Divisor (HCD), the Highest Common Factor (HCF), or the Greatest Common Divisor (GCD).

According to the distributive property, an expression in the form A (B + C) can be solved as A (B + C) = AB + AC. This distributive law also applies to subtraction and is denoted by A (B - C) = AB - AC. This means that the other two operands share operand A.

The given expression is 16 + 28.

The greatest common factor is 4.

So taking the greatest common factor from the both the numbers.

We get, 4 (4+7)

So the resultant expression is 4 (4+7).

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The length of each side of the tank is 9 feet.

Height = 8

Volume = 648

Let y be the cross sectional area

Therefore, 648 = 8y

y² = 648/8

y² = 81

Therefore, y = ✓81

y = 9

The length of each side of the tank is 9 feet.

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1. Euphoria's opportunity cost of producing a a bushel of rye is 4 pairs of jeans.

Contentes opportunity cost of producing a bushel of rye is 2 pairs of jeans.

2. Contente has comparative advantage in producing rye

Euphoria has comparative advantage in jeans production

For Euphoria:

The opportunity cost of producing a unit of rye in terms of jeans is;

Opportunity Cost = 20/5 = 4

For contente:

The opportunity cost of producing a unit of rye in terms of jeans is;

Opportunity Cost = 16/8 = 2

The opportunity cost of producing 1 unit of jean in terms of unit of rye:

For euphoria = 5/20 = 1/4

For contente = 8/16 = 1/2

1. Euphoria's opportunity cost of producing a a bushel of rye is 4 pairs of jeans.

Contentes opportunity cost of producing a bushel of rye is 2 pairs of jeans.

2. Contente has comparative advantage in producing rye

Euphoria has comparative advantage in jeans production

3. Contente produces 8 bushels of rye so with 4 million hours of labor = 8x4 = 32 million bushels in a week.

Euphoria 20 pairs of jean in a week, using 4 million hours of labor. 20x4 = 80 pairs of jean a week

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Answer:

(-4, 0); x = -4, y = 0

Step-by-step explanation:

The solution is the point that satisfies both equations. It is the point of intersection of the two lines.

Answer: (-4, 0)

880 oz

Step-by-step explanation:

Using the Poisson and the normal distributions, the probabilities are given as follows:

a) 0.0895 = 8.95%.

b)

Without correction, P(X < 8) = 0.1251 = 12.51%.

With continuity correction, P(X < 8) = 0.0968 = 9.68%.

c)

Without correction, P(16 < X < 24) = 0.1248.

With correction, P(16 < X < 24) = 0.1558 = 15.58%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is given by:

[tex]\mu = 12[/tex]

Hence the probability that X is less than 8 is given by:

P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7).

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-12}12^{0}}{(0)!} = 0.00001[/tex]

...

[tex]P(X = 7) = \frac{e^{-12}12^{7}}{(7)!} = 0.04368[/tex]

The middle values are found applying the same formula, and adding them, the probability is given by:

P(X < 8) = 0.0895 = 8.95%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Without continuity correction, the probability that X is less than 8 is the p-value of Z when X = 8, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8 - 12}{\sqrt{12}}[/tex]

Z = -1.15

Z = -1.15 has a p-value of 0.1251.

Hence:

Without correction, P(X < 8) = 0.1251 = 12.51%.

With continuity correction, as the Poisson distribution is discrete and the normal is continuous, the probability is P(X < 7.5), which is the p-value of Z when X = 7.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.5 - 12}{\sqrt{12}}[/tex]

Z = -1.3

Z = -1.3 has a p-value of 0.0968.

Hence:

With continuity correction, P(X < 8) = 0.0968 = 9.68%.

For item c, without correction, the probability is the p-value of Z when X = 24 subtracted by the p-value of Z when X = 16, hence:

X = 24:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 12}{\sqrt{12}}[/tex]

Z = 3.46

Z = 3.46 has a p-value of 0.9997.

X = 16:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 12}{\sqrt{12}}[/tex]

Z = 1.15

Z = 1.15 has a p-value of 0.8749.

0.9997 - 0.8749 = 0.1248.

Hence:

Without correction, P(16 < X < 24) = 0.1248.

With correction, the probability is the p-value of Z when X = 23.5 subtracted by the p-value of Z when X = 15.5, hence:

X = 23.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{23.5 - 12}{\sqrt{12}}[/tex]

Z = 3.32

Z = 3.32 has a p-value of 0.9996.

X = 15.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.5 - 12}{\sqrt{12}}[/tex]

Z = 1.01

Z = 1.01 has a p-value of 0.8438.

0.9996 - 0.8438 = 0.1558.

Hence:

With correction, P(16 < X < 24) = 0.1558 = 15.58%.

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There will be 5 cases and 10 additional units.

Here, we are given that 60 units are needed with 14 units per case.

The total number of units required = 60

Units required for 1 case = 14

Let the total number of cases = n

Thus, total number of units required for n cases = 14n

⇒ 60 = 14n

14n = 60

n = 60/ 14

n = 4.285

Thus, we get that the number of cases = 4.285

But, since cases cannot be in decimals, we need to round off n to 5 ( as 4 cases won't add up to 60).

Thus, the total number of cases are 5.

Additional units = 14 × 5 - 60

= 70 - 60

= 10

Thus, the number of additional units are 10.

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When x = 0 in the given equation, the value of y = 8.

The value is 'x' is not given then we will consider x = 0.

Now, substitute x = 0 in the equation.

Therefore, the value of y = 8 when x = 0 is in the given equation.

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