The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the smaller number? x + (x + 9) = 47 x − (x + 9) = 47 x(x + 9) = 47 x(x − 9) = 47

Answer:

z (min) = 105

x₁ = 3

x₂ = 2

Step-by-step explanation:

Let´s call  x₁   (number of tables) and  x₂ ( number of capsules)

assuming it is only possible to get a whole table or capsule we have:

Table  x₁         8 u myra X      1 u of myra Y  and  2 u of myra Z

Capsule x₂     2       "              1         "             and  7 u       "

Objective function

z  =  15* x₁  +  30* x₂    to minimize

First constraint  ( Myra X )

8*x₁ + 2*x₂  ≥  16

Second constraint ( Myra Y )

x₁   +  x₂    ≥  5

Third constraint  ( Myra Z )

2*x₁  +  7*x₂  ≥  20

General constraints  x₁ ≥ 0     x₂  ≥ 0  both integers

Then the model is:

z  =  15 * x₁   +  30 * x₂       to minimize

Subject to

8*x₁ + 2*x₂  ≥  16

x₁   +  x₂    ≥  5

2*x₁  +  7*x₂  ≥  20

x₁ ≥ 0     x₂  ≥ 0  both integers

As the constraints, all are of the form  ≥ we have to subtract surplus variables sₐ and add artificial variables Aₐ

sₐ   ≥  0     Aₐ  ≥ 0

The first table is

z         x₁      x₂      s₁     s₂    s₃    A₁     A₂    A₃    =  Cte

1       - 15    - 30     0     0     0      M     M     M    =    16

0         8         2      -1    0     0      1        0     0    =     5

0         1          1       0   -1      0      0      1       0   =   20

0         2         7       0    0    -1       0      0      1    =   20

Using AtoZmax and after 6 iterations we find

z (min) = 105

x₁ = 3

x₂ = 2

Answer:

306

Step-by-step explanation:

Greatest common factor of 51 and 18

51=3×17

18=2×3×3

So 2×3×3×17

Greatest common factor =306

Answer: See explanation

Step-by-step explanation:

Your question isn't clear but let me help out by reframing the question .

Let's say that Mr. Jones bought 5kilograms of flour for $825. To get the price of a kilogram of flour, we will need to divide $825 by 5. This will be:

= $825 / 5

= $165

Therefore, the price of a kilogram of flour will be $165

Answer:

81 7/12

Step-by-step explanation:

75 5/12 - (-6 1/6)= 81 7/12

Answer:

Arrange similar algebra given there ... which is 'p' here , Now ;

10p -5= - 6+2p

or, 10p -2p = -6+5

( NOTE : Moving to opposite side , + becomes - and - becomes + )

10p -2p = -6+5

8p = - 1

p = - 1 / 8

Answer:

[tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

You balance the equation by getting rid of the variable on one side and then you get rid of the constant on the other then solve from there

10-5=-6+2p

10p-5-2p=-6+2p-2p

8p-5+5-6+5

8p=-1

[tex]\frac{8p}{8}=\frac{-1}{8}[/tex]

p=[tex]\frac{-1}{8}[/tex]

To solve the equation we put -1/8 in the p spot:

10x-1/8-5=-6+2x-1/8

-1.25-5=-6+-0.25

-6.25=-6.25

The equation = -6.25

Answer:

the answer is 15

Step-by-step explanation:

3x = 45

divide 45 by 3

x = 15

Answer:

bro there shld be a picture because you said in the figure. Without figure we can't know how will we do

Step-by-step explanation:

i think the ans is 57°

Answer:

[tex]4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30[/tex]

Answer:

0.418878 I think thats the answer look in the explanation if you need.

Step-by-step explanation:

Compute answer to nearest "whole" number: A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between 100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams." Calculate the standard deviation. Do NOT format answer: No $, Commas, %. Question 48 5 pts Compute answer to nearest "whole" number: A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of items produced weigh between 100 grams and the mean" weight 49.18% weigh between the "mean and 190 grams." Calculate the mean weight. Do NOT format answer: No $. Commas, %.

Answer:

C

Step-by-step explanation:

By moving point B 1.5 units to the right, you create an icoselles triangle, which has just one line of symmetry

Answer: Each friend will get 2 packs of Pokemon cards.

Answer:

2.33333333333

Step-by-step explanation:

7÷3=2.33333333333

Answer:

B

Step-by-step explanation:

The 20th term of the sequence that begins as -4,8,-16,32,...is 2097152.

It is a type of sequence in which all the elements have common ratio. To calculate the common ratio we apply the following formula:

Ratio=a n/ a n-1

If we carefully watch our sequence we will be able to find that it is a geometric progression because all the terms have common ratio of -2.

To calculate the 20th term we will apply the formula:

20th term =[tex]ar^{20-1}[/tex]

=-4* [tex](-2)^{19}[/tex]

=-4*-524288

=2097152

Hence the 20 th term is 2097152.

Learn more about geometric progression at https://brainly.com/question/12006112

#SPJ2

Answer:

no

Step-by-step explanation:

80-225*1/3=80-75=5

Answer:

6/3=22/x would be 11

Step-by-step explanation:

hope this is helpful

Answer:

Answer is 11

Step-by-step explanation:

3x22=66

6×X=6X

66/6X=11

Answer:

Parallelogram

Step-by-step explanation:

Observation 1:

the sides do not have the same measure √53≠√68 so is NOT a square and NOT a rhombus

Observation 2:

the opposite sides are congruent

AB=CD=√53, and  BC=DA=√68

Observation 3:

lines that have the same slope are parallel so opposite sides are also parallel

slope of AB =slope of CD =-2/7, and slope of BC=slope of DA=8/2

so we have 2 pair of sides congruent and parallel but to decide if is a parallelogram or rectangle we need to see if the adjacent sides form 90° or not

Observation 4:

lines that are perpendicular form 90° and their slope is negative reciprocal.

AB slope =-2/7 and slope of BC =8/2 so are NOT perendicular therefore is a parallelogram

Answer:

El monto total a devolver por parte de Josean Hernández será de $40,227.2, y lo devolverá en 36 cuotas de $1,117.42 cada una.

Step-by-step explanation:

En tanto Josean Hernández solicitó un préstamo de $38,400, y acordó con la financiera devolverlo durante 36 meses a un interés del 5.8%, para determinar la cantidad total a pagar y el monto de cada cuota, es necesario realizar el siguiente cálculo:

(38,400 x 5.6 / 100) + 38,000 = X

2,227.2 + 38,000 = X

40,227.2 = X

40,227.2 / 36 = 1,117.42

Así, el monto total a devolver por parte de Josean Hernández será de $40,227.2, y lo devolverá en 36 cuotas de $1,117.42 cada una.

Answer:

1/3

Step-by-step explanation:

divide each part by 11

Answer:

1/3 is the simplified fraction for 11/33 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 11/33 by using the prime factorization method.

Step-by-step explanation:

Answer:

To solve this question, we first have to know that we are trying to assemble

and solve equations with two variables: x

and y.

Assuming x

is the number of dimes and y

is the number of quarters, we

can assemble the equations.

since the number of dimes is 3 more than three times the number of quarters,

we get x=3y+3.

Additionally, multiplying the number of dimes by 0.1 and the number of

quarters by 0.25,

we get the total value of x

and y

which appears by this

equation 0.1x+0.25y=11.30

.

Substituting the value of x

in the second equation, we get 0.1(3y+3)+

0.25y=11.30

.

Solving this equation, we get that the value of x,

we get x=3×20+3=

Using the first equation to get the value of x,

we get x=3×20+3=

60+3=63

dimes.

Chapter 9

Math Models and Geometry

Section 2

Solve Money Applications

Prealgebra

Step-by-step explanation:

Answer:

The answer would be 29.7

Step-by-step explanation:

The reason is would be 29.7 is when you are rounding to the nearest tenth, you take the first number to the right after the decimal and if it is 4 or below it stays the same and 5 above and it goes up one.

I hope this is right. Let me know if this helped!!

Answer:

C: 29.7

Step-by-step explanation:

You'd start by looking at the hundreths, which is 0.04. Since that is less than 0.05, it wont round up, but instead down. Hence, 29.7 is the answer.

Answer:hmm I don’t fully understand what you mean because there is no bottom of the number line it started at zero so all you have to do is fill the line in.

Step-by-step explanation:

9514 1404 393

Answer:

  get a clue from the problem statement, figure out what you need to help you solve the problem

Step-by-step explanation:

You need to read and understand the entire problem. Different parts of it give you different clues as to how to arrive at appropriate number lines.

Here are some of them:

The double number line is a tool, just as any diagram is a tool to help you solve a problem. You choose the way you draw it so that it is of help to you in answering the questions asked.

Answer:

I think its 1

Step-by-step explanation:

Incomplete question.

Answer:

Dont climb it

Step-by-step explanation:

Answer:

1760

Step-by-step explanation:

12 inches in a foot so 5280x12 is how much inches in a mile

63360 inches in a mile

63360 divided by 36 inches

1760

Answer:

25) 16

27) 12

29) 648

31) -243

Step-by-step explanation:

25) -4^2 = 16

27) -4 x 3 = -12

29) (-6 x -4) x (3 x 3 x 3) = 25 x 27 = 648

31) -(3) x 9^2 = -3 x 81 = -243

Please mark as brainliest, thank you.

Step 1: Determine b by using the point (-6,-2), the given slope, and the slope intercept formula, y = mx + b.

[tex]y = mx + b\\\\-2 = \frac{1}{6}(-6) + b\\\\-2 = -1 + b\\\\-1 = b[/tex]

Step 2: Now that we have b, we can determine the equation of the line.

[tex]y = \frac{1}{6}x -1[/tex]

I didn't use + (-1) because b is negative. Therefore you need to change the equation from y = 1/6x + (-1) to y = 1/6x - 1.