The Combined weight of 5 student back packs is 39.9 pounds. What is the approximate weight of 1 back pack?​

Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

Answer:

35 more preferred white

Step-by-step explanation:

Black 18% * 250 = 18/100 * 250 = 45

White 32%*250 = 32/100 * 250 = 80

The  difference is 80 - 45 = 35

Answer: 24

Step-by-step explanation:

Given that m=5 and n=3, we can plug our values into the given expression to evaluate.

(5)(3)+9                  [multiply]

15+9                        [add]

24

The reason we multiplied before we added was due to the order of operations. Order of operations tells us to always multiply or divide first before we add or subtract. In this case, the multiplication happens to come first so we multiply, then add.

The required number of cup of milk required to make 87 cookies.

While you're discussing a recipe, you can make sense of what fixings are required by talking about that the recipe "calls for ___". For instance: It calls for olive oil.

A recipe calls for of a cup of milk for 29 cookies.

It means we need 29 cookies for one cup of milk,

To find number of cup need to make 87 cookies.

Then,

29 cookies = one cup

one cookie = one cup/29

87 cookies = 87/29 cup of milk

3 cup of milk

Thus, there are 3 cup of milk required.

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The length of c is c = 13.3, and the angle measures are A = 17.7 and B = 97.3

From the question, we have the given parameters to be:

b = 10 inches

a = 14 inches

<C = 65 degrees

To calculate the length of c, we use the following equation of law of cosine

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

Substitute the known values in the above equation

c^2 = 14^2 + 10^2 - 2 * 10 * 14 * cos(65 degrees)

Evaluate cos(65 degrees)

c^2 = 14^2 + 10^2 - 2 * 10 * 14 * 0.4226

Evaluate the exponent

c^2 = 196 + 100 - 2 * 10 * 14 * 0.4226

Evaluate the product

c^2 = 196 + 100 - 118.328

Evaluate the sum and the difference

c^2 = 177.672

Take the square root of both sides

c = 13.3

To calculate the angle measure of A, we use the following equation of law of sine

a/sin(A) = c/sin(C)

This gives

14/sin(A) = 13.3/sin(65)

This gives

14/sin(A) = 14.7

Rewrite as:

sin(A)  = 14/14.7

Evaluate the quotient

sin(A)  = 0.9524

Take the arc sin of both sides

A = 17.7

Lastly, we have

B = 180 - A - C

This gives

B = 180 - 17.7 - 65

Evaluate

B = 97.3

Hence, the length of c is c = 13.3, and the angle measures are A = 17.7 and B = 97.3

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Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7

Answer:

B is correct

Step-by-step explanation:

60y-5=18y+16

42y=21

y=1/2

9514 1404 393

Answer:

Step-by-step explanation:

  dividend ÷ divisor = quotient . . . . . names of parts of a division expression

In the expression A ÷ B, the dividend is A and the divisor is B.

__

The multiplication fact A·B = C gives rise to two division facts:

  A = C/B

  B = C/A

So, the multiplication fact (2/5)·5 = 2 gives rise to the two division facts:

  (2/5) = 2/5

  5 = 2/(2/5) . . . . . . . this is the one this problem is trying to illustrate

The slash and the "divided by" symbol mean the same thing, so this can also be written as ...

  5 = 2 ÷ 2/5

or

  2 ÷ 2/5 = 5 . . . . 2 is the dividend; 2/5 is the divisor

__

To see how many times 2/5 goes into 2, we can draw the given diagram and see how many groups of 2/5 we can make out of the equivalent fractions. We find there are 5 such groups. This means "2/5 goes into 2 five times" or "2 divided by 2/5 is 5."

Answer:

0

Step-by-step explanation:

Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Total fat in mixture is 8x+15y100 pints.

Explanation:

In a mixture of x pints of 8% butterfat, we have 8x100 pints of butter

and in y pints of 15% butterfat, we have 15y100 of butterfat.

Hence total fat in mixture is 8x+15y100 pints.

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

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

\(P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\lambda\) is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\(\lambda = \frac{29742}{365} = 81.485\)

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

\(P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0\)

0% probability that on a given day, 50 radioactive atoms decayed.

The product of the two linear functions is:

(fg)(x) =  8x^2 + 10x  - 3

A general linear funuction can be written as:

f(x)= a*x  +b

Let's say that our functions are:

f(x) = ax + b

g(x) = cx + d

The sum is:

(f + g)(x) = ax + b + cx + d = (a + c)x + (b + d)

(f - g)(x) = ax + b - cx - d  =(a - c)x + (b - d)

And we know that:

(f+g)(x)=-6x-2 and (f-g)(x)=-2x+4.

Then we can write:

(a + c)x + (b + d) = -6x - 2

(a - c)x + (b - d) = -2x + 4

Then we have 4 equations:

a + c = -6

b + d = -2

a  - c= -2

b - d = 4

Solving these we can get:

a = -4

c = -2

b = 1

d = -3

(you can check these values)

The two linear functions are:

f(x) = -4x + 1

g(x) = -2x - 3

The product is:

(fg)(x) = (-4x + 1)*(-2x - 3) = 8x^2 + 12x - 2x - 3

                                       = 8x^2 + 10x  - 3

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Answer:

$42.00

Step-by-step explanation:

We can represent the given information as a ratio:

% of original price : price

                          5% : $2.00

Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.

5%      :  $2.00

↓ × 20   ↓ × 20

100%  :  $40.00

Now that we know the original price, we can add $2.00 to get the new price.

$40.00 + $2.00 = $42.00

Answer:

its c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I think it's d because the end of the table is on 12 so its less and more than 12.

It's important to notice that downstream indicates that the river goes in the same direction that the boat crew, so we add; while upstream they have opposite directions so we subtract.

First, we find the ratio in each case.

Then, we form the following system

The first equation is with the current and the second one is against. Let's combine the equations and solve for x

Step-by-step explanation:

each department has 3 options for their representative.

and each of these options can be associated with the 3 options of the next department. and so on.

so, we have

3×3×3×3 = 3⁴ = 81

possibilities to firm that committee overall.

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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alright so first ur trying to find adjacent so use cos which is adjacent/hypotenuse you know the angle of c is 90 because it is a right angle

so it gonna be

cos(90)= AC/5

5*cos(90)= AC

5*0=AC

side AC = 0

The total cost of the new outfits for all the members is $264. So, the correct answer is option A.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.

Here, the cost of outfits for a person is

(21+26+6+13)=66

The cost of outfits for the four members is

66×4=$264

Therefore, option A is the correct answer.

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The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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Answer:

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C. n/90 rad/sec.

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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To calculate the final amount of the acount that compounds quarterly you have to use the following formula:

Where

A is the accrued amount

P is the principal amount

r is the interest rate, expressed as a decimal value

t is the time period

n is the number of compound periods per time unit. This savings account compounds quarterly, this means, 4 times per year

P=$400.00

r=4/100=0.04

t= 4 years

n=4*4=16

The amount at the end of the 4 year period will be $469.31

Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Step 1

Given; Line m has a y-intercept of cand a slope of 2, where p>0, q> 0, and p* q. What is the slope of a line that is parallel to line m?

Answer:

distance moved by kayaker is 54m

Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.

According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.

Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.

The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.

by the segment addition postulate,

AC + CE = AE so AC = AE - CE

AC = (x+50) - (x+32)

AC = x+50-x-32

AC = 18

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