How many 3-digit natural numbers are there?

Answer:

Let's define the variables:

S = # of sweet pepper seeds in the mix pack.

H = # of hot pepper seeds in the mix pack.

Let's suppose that $3.30 is the mean price of the seeds in the mix pack.

Then we have two equations:

S + H = 16.

(S*$2.85 + H*$4.29)/16 = $3.30

Now let's solve this system.

The first step is isolating one variable in one of the equations, i will isolate S in the first equation.

S = 16 - H.

Now we can replace this in the second equation, and solve it for H.

( (16 - H)*$2.85 + H*$4.29)/16 = $3.30

( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80

$45.60 + H*$1.44 = $52.80

H*$1.44 = $52.80 - $45.60 = $7.20

H = $7.20/$1.44 = 5

Then in the mix pack there are 5 hot-pepper seeds.

And the other 11 must be sweet-pepper seeds

Algebraic equations are equations that contain unknown variables.

The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

Let's represent:is

The number of packets of sweet-pepper seeds = s

The number of packets of hot-pepper seeds = h

Based on this question, our system of equations are:

$2.85 x s + $4.29 x h = $3.30(16)

2.85s + 4.29h = 52.8...........Equation 1

s + h = 16...........Equation 2

s = 16 - h

We substitute 16 - h for s in Equation 1

2.85(16 - h) + 4.29h = 52.8

45.6 -2.85h + 4.29h = 52.8

Subtract 45.6 from both sides

45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6

1.44h = 7.2

h = 5

There are 5 hot-pepper seeds in the assortment.

Solving for the number of sweet-pepper seeds.

s = 16 - h

s = 16 - 5

s = 11

There are 11 sweet-pepper seeds in the assortment.

Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

To learn more, visit the link below:

brainly.com/question/12978834

Answer: 7 radios

Step-by-step explanation:

The following can be deduced from the question:

Number of radios tested = 125 radios

Percentage acceptable = 60%

Numbers acceptable:

= 60% × 125

= 0.6 × 125

= 75 radios

Numbers rejected = 125 - 75 = 50 radio

We are further told that the inspector tested 25 more radios, this will be:

Number of radios tested

= 125 + 25 = 150 radios

Percentage acceptable = 62%

Numbers acceptable

= 62% × 150

= 0.62 × 150

= 93 radios

Numbers rejected= 150 - 93 = 57 radios

The number of these 25 radios that were rejected will be:

= 57 - 50

= 7 radios

Answer:

Step-by-step explanation:

[tex]6 \:cups = 5\:batches\\x\:cups = 1\:batch\\\\Cross\:Multiply\\\\5x = 6\\\\Divide\:both\:sides\:of\:the\:equation\:by\:5\\\\\frac{5x}{5} =\frac{6}{5} \\\\x = 1\frac{1}{5}[/tex]

Answer:

root 85

decimal 9.21

slope 9/2

Step-by-step explanation:

didnt know which one you wanted fully

Answer:

Number of $10 bills = 2

Number of $5 bills = 3

Number of $1 bills  = 5

Step-by-step explanation:

Given:

Total amount = $40

Number of $10 bills = x

Number of $5 bills = x + 1

Number of $1 bills = x + 1 + 2 = x + 3

Find:

Number of each bills

Computation:

10(x) + 5(x+1) + 1(x+3) = 40

10x + 5x + 5 + x + 3 = 40

16x = 32

x = 2

Number of $10 bills = x = 2

Number of $5 bills = x + 1 = 3

Number of $1 bills  = x + 3 = 5

Answer:

# of $10 bills = 2

# of $5 bills = 3

# of $1 bills  = 5

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

equate the two equations

2/5=18/x

Answer:

45grams

Step-by-step explanation:

Answer:

I don’t know exactly what ur asking but I hope this helps

Step-by-step explanation:

6.33

NOT Answer:

i would be glad to answer this but whats a quotient

sory

Answer:

4

Step-by-step explanation:

y intercept is always the value without a coeffiecent

Answer:

ITS 4

Step-by-step explanation:

Answer: $70

Step-by-step explanation:

Given that:

Toy with defect is produced once every 4 hours

Cost of labor and supplies incurred for producing a defective toy = $7

Number of defective toys that is expected to be produced in a 40 hour work week :

Number of hours / average hour for producing 1 defective toy

= 40/ 4

= 10 defective toys

Cost incurred for producing 10 defective toys :

($7 * 10) = $70

Answer:

Step-by-step explanation:

Ok

Answer:

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than  11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.

What is the test statistic ?

What is the -value?

Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of

Answer:

25/100 *64

0.25*64

Step-by-step explanation:

Answer:

25/100 times 64 and 0.25 times 64

Step-by-step explanation:

Answer:

The number: x

Step-by-step explanation:

15+3x = 6x-10

3x = 25

Answer:

40

Step-by-step explanation:

15 + 3x = 6x - 10

15 + 10 = 6x - 3x

25 = 3x

25/3 = x

To check

15 + 3(25/3) = 6(25/3) - 10

15 + 25 = 50 - 10

40 = 40

Answer:

24 frames per second

Step-by-step explanation:

Answer:

x= -82+1

x= -81

Step-by-step explanation:

i hope it is help full

Answer:

604

Step-by-step explanation:

just simple division pls giv 5 out ogf 5 and thanks

Answer:

634

Step-by-step explanation:

Answer:

[tex]P(X = 5) = 0.166[/tex]

Step-by-step explanation:

Given

[tex]Mean = 4.3[/tex]

[tex]x = 5[/tex]

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

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

Where

[tex]\alpha[/tex] is used to represent the mean

and

[tex]\alpha = 4.3[/tex]

[tex]x = 5[/tex]

[tex]e = 2.71828[/tex] ---- Euler's constant

So, we have:

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

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}[/tex]

[tex]P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}[/tex]

[tex]P(X = 5) = \frac{19.9469850243}{120}[/tex]

[tex]P(X = 5) = 0.1662248752[/tex]

[tex]P(X = 5) = 0.166[/tex] Approximated

9514 1404 393

Answer:

  If x-y is a natural number, then x and y are natural numbers.

Step-by-step explanation:

The converse of ...

  If P, then Q.

is ...

  If Q, then P.

__

Here, we have ...

  P = "x and y are natural numbers"

  Q = "x-y is a natural number"

So, the converse is ...

  If x-y is a natural number, then x and y are natural numbers.

_____

In this case, the converse is false.

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

:)

Answer:

ewhyfreu62

Step-by-step explanation:

Answer:

Commutative property of multiplication.

Explanation:

Commutative property is when you switch the order of the numbers around yet the answer still remains the same.

Ex: ab=ba or a+b=b+a

Answer:

just guess

Step-by-step explanation:

dude believe in yourself

Answer:

7   5/6

Step-by-step explanation:

Trust Me Bro

Answer:

3 9/20

Step-by-step explanation:

first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

You can work this several ways.

1) Consider the factor that gets you from the y-value of the known pair to the y-value of the unknown pair. Here, that factor is -6/12 = -1/2.

Then the unknown value of x is the known value multiplied by that same factor:

  x = (-1/2)(-2)

  x = 1

__

2) You can write the equation for a "varies directly" relationship and solve for the constant of proportionality. Then you can use that equation to find the unknown value of x.

  y = kx . . . . . . . . . . . . . . y varies directly with x

  k = y/x = 12/-2 = -6

Now we know ...

  y = -6x

Filling in the new value for y, we have ...

  -6 = -6x

  1 = x . . . . . . divide by -6

__

3) You can write a proportion. Since we want to find a value for x, it is convenient to put that in the numerator.

  -2/12 = x/-6

Multiplying by -6, we get ...

  (-6)(-2)/12 = x = 1