Solve the system of linear equations in two variables by elimination or substitution.
y=1 + x
2x+y=-2

Answer:

Nikki is 16, Travis is 8

Step-by-step explanation:

We need to set up an equation

If x is Nikki's age, then Travis' would x-8 since Nikki is 8 years older.

x+(x-8)=24

2x-8=24

2x=32

x=16

Nikki is 16, Travis is 8

Answer:

the oldest is 16 and the other sibling Travis =8

Step-by-step explanation:

x+y=24

x-y=8  ⇒ x=8+y

solve by substitute

8+y+y=24

2y=24-8

2y=16

y=16/2=8

x=8+y

x=8+8=16

x=16

y=8

Answer:

$135

Step-by-step explanation:

Answer:

3ml

Step-by-step explanation:

while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.

Given that On her drawing,

2 cm represent 0.5ml.

The piers are 12cm apart on tasha's drawing.

To calculate the actual distance, in miles between the two piers, first divide the 12cm by 2 cm

12/2 = 6 cm

Multiply the answer by 0.5

6 × 0.5 = 3ml

Therefore, the actual distance, in miles between the two piers is 3ml.

Answer:

C(x) = 5700 + 500x

Step-by-step explanation:

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.

Variable cost are cost that changes with production such as cost of raw material, cost of labor.

From the question:

Fixed cost= $5,700

Cost per unit of computer = $500

If x number of computers are produced in a month

Variable cost = 500x

Total cost = fixed cost + variable cost

C(x) = 5700 + 500x

Where,

C(x) = total cost

5700= fixed cost

500x= variable cost

Answer:

C(x)=500x+5700.

Step-by-step explanation:

he general Cost function formula is given by

C(x)=cost per unit⋅x+fixed costs.

The manufacturer has fixed costs of $5700 no matter how many computers it produces. In addition to the fixed costs, the manufacturer also spends $500 to produce each computer. If we substitute these values into the general cost function, we find that the cost function when x computers are manufactured is given by

C(x)=500x+5700.

Answer:

20 chickens, 10 rabbits and 20 ducks

Step-by-step explanation:

Let chickens be c, rabbits be r, ducks be d

As per given  we get below equations:

Substitute d:

Subtract the second equation from the first one:

Then:

So animals bought:

Answer:

  3×1/10 +5×1/100 +6×1/1000

Step-by-step explanation:

You have not shown Armando's work, but we know there are several ways that expanded form can be written:

  0.356 = 0.3 + 0.05 + 0.006

  = 3×0.1 + 5×0.01 + 6×0.001

  = 3×10^-1 + 5×10^-2 + 6×10^-3

When the place values are expressed as fractions, this is ...

  = 3×1/10 + 5×1/100 + 6×1/1000

Answer:

o=p+12

Step-by-step explanation:

height of the oak tree is equal to the height of the pine tree plus 12 feet.

Answer:

            equation:          (91 + 89 + x):3 = 95

            score needed:        x = 105

Step-by-step explanation:

x - the third test score

average of three it's a sum of the three divided by 3:

(91 + 89 + x):3 = 95

                ×3         ×3

    180 + x  = 285

         -180       - 180

            x = 105

Answer:

-10,6

Step-by-step explanation:

f(x) = (x + 2)^2 - 64

Set equal to zero

0 = (x + 2)^2 - 64

Add 64 to each side

64  = (x + 2)^2

Take the square root of each side

±sqrt(64) = sqrt((x + 2)^2 )

±8 = x+2

Subtract 2 from each side

±8-2 = x

-8-2 =x

8-2 = x

-10,6

Answer:

[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2x² + 5 = -x

The quadratic equation is in the form :

ax² + bx + c = 0

Rewriting the equation by adding x to both sides :

2x² + 1x + 5 = 0

The value of a is 2.

The value of b is 1.

The value of c is 5.

[tex]\rule[225]{225}{2}[/tex]

Answer:

36

Step-by-step explanation:

(4+2)²

4+2=6

6²=36

Answer:

36

Step-by-step explanation:

So we have the expression:

[tex](4+2)^2[/tex]

Order of operations says: 1) Parentheses, 2) Exponents, 3) Multiplication/Division and 4) Addition/Subtraction.

So, add within the parentheses first:

[tex](4+2)^2\\=(6)^2[/tex]

Now square:

[tex]=36[/tex]

So our answer is 36.

Also, note that you apparently used the distribute property. The distribute property does not work with addition and exponents:

[tex](4+2)^2\neq4^2+2^2[/tex]

You cannot do this. This isn't correct. Instead, you must first add and then square.

Answer:

21

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...

We see that the first number that is a multiple of both 3 and 7 is 21.

Greetings from Brasil...

The expression that allows you to calculate the distance between two points is:

Bringing to our problem:

d(A; B) = √[(0 - 3)² + (- 3 - 1)²]

d(A; B) = √[(- 3)² + (- 4)²]

d(A; B) = √[9 + 16]

d(A; B) = √[25]

Answer:

Hey there!

Circumfrence = 3.14d

Circumfrence = 3.14(14), or 43.96

Hope this helps :)

Answer:

60m²

Step-by-step explanation:

my dude you need to know this. A=bh. A=10(6).

60m good luck </3 hghjghghhujg

Answer:

[tex]Rate = 8640 fl\ oz/hour[/tex]

Step-by-step explanation:

Given

Rate: 9 gallon in every 8 minutes

Required

Express in fluid ounces per hour

Express rate as follows;

[tex]Rate = \frac{9\ gallon}{8\ minutes}[/tex]

1 gallon = 128 fluid ounces;

So:

[tex]Rate = \frac{9 * 128 fl\ oz}{8\ minutes}[/tex]

1 minutes = 1/60 hour;

So:

[tex]Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}[/tex]

[tex]Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}[/tex]

[tex]Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour[/tex]

[tex]Rate = 1152* \frac{60}{8}\ fl\ oz/hour[/tex]

[tex]Rate = \frac{1152*60}{8}\ fl\ oz/hour[/tex]

[tex]Rate = \frac{69120}{8}\ fl\ oz/hour[/tex]

[tex]Rate = 8640 fl\ oz/hour[/tex]

Answer:

251

Step-by-step explanation:

Answer:

-2s

Step-by-step explanation:

2s+(-4s)

2s-4s

-2s

Hope this helps ;) ❤❤❤

Answer:

A model for the basal metabolic rate in kcal h of a young man is

A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85 -0.18 cos(πt/12), where t is the time in hours measured from 5:00 AM.

Answer & Step-by-step explanation:

definition of coordinate pair

A system and method is provided for converting an input signal from a sequence of rectangular coordinate pairs to a sequence of polar coordinate pairs.

solving by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system

solving by substitution

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.

solving by elimination

The elimination method of solving systems of equations is also called the addition method. To solve a system of equations by elimination we transform the system such that one variable "cancels out". ... In order to solve for y, take the value for x and substitute it back into either one of the original equations.

slope-intercept form

the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept

standard form

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

term

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Terms are separated by + or − signs, or sometimes by divide.

constant

A fixed value.

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

variables

A symbol for a value we don't know yet. It is usually a letter like x or y.

Example: in x + 2 = 6, x is the variable.

Why "variable" when it may have just one value? In the case of x + 2 = 6 we can solve it to find that x = 4. But in something like y = x + 2 (a linear equation) x can have many values. In general it is much easier to always call it a variable even though in some cases it is a single value.

multiplicative combination

Any of the ways we can combine things, when the order does not matter.

Example: For a fruit salad, how many different combinations of 2 ingredients can you make with apple, banana and cherry?

Answer: {apple, banana}, {apple, cherry} or {banana, cherry}

When the order does matter, such as a secret code, it is a Permutation.

Step-by-step explanation:

Check the above photos....

Answer:

x=15

Step-by-step explanation:

i just know its right

Answer:

B

Step-by-step explanation:

V26 is closer to 5 because it's only one number away.

The number among the option that is closest to 5 is √26.

The number closest to 5 is the number that is almost 5.

The option are express in surd form, therefore, lets express in real numbers(decimal form) Real numbers are rational or irrational numbers. Therefore,

√23 = 4.79583152331

√26 = 5.09901951359

√22 = 4.69041575982

√28 = 5.29150262213

Therefore, using the decimal form, the closest number to 5 is √26

learn more on numbers here:https://brainly.com/question/21094079

#SPJ2

Answer:

0.4 represents the height of the base.

0.6 represents the height of each block.

Step-by-step explanation:

In this expression the x is the number of blocks  which is multiplied with the height of the block and added to  the height of the base to get the total height of the wall.

Suppose we have ten blocks so

0.6x+ 0.4 = 0.6(10)+ 0.4= 6+0.4= 6.4

The height of the wall would be 6.4 if there are ten blocks.

The height of the wall depends on the number of blocks used.

The height of the base is constant irrespective of the number of blocks used.

Answer:

0.4 represents the height of the base.

0.6 represents the height of each block.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

because yes i solved it

Answer:

6/8

Step-by-step explanation:

If we simply 12/16, we need to divide both numerator and demonstrator by 2:

12/2 = 6

16/2 = 8

6/8

Answer:

12/16 = 6/8

Step-by-step explanation:

divide both by 2

Answer:

x=3/5

Step-by-step explanation:

3x+5=0

3x=-5

x=-5/3

Answer:

x = 5/3

Step-by-step explanation:

Given equation: 3x-5 = 0

Add both sides by 5, we get

= 3x - 5 + 5 = 0 + 5

= 3x = 5

Divide both sides by 3, we get

3x/3 = 5/3

or, 3x = 5

so, x = 5/3

Answer:

65%

Step-by-step explanation:

We're looking for how big a part of the original price the reduced price is.

This can be done using division.

E.g., if the reduced price was $1, and the original price was $10, we can find how big of a part $1 is of $10 by dividing them.

[tex]\frac{1}{10} = 0.1 = 10\%[/tex]

The reduced price is 10% of the original price. Remember that 0.1 in decimal is 10%, same as how 1.0 is 100%, and 0.3 is 30%.

Let's try this using our dresses. The reduced price was $39, and the original price was $60.

[tex]\frac{39}{60} = 0.65 = 65\%[/tex]

The dresses were sold at 65% of the original price.

Note, this does NOT mean that they were sold at a 65% discount. To find that, we'd have to find out how big the discount was. Then, we'd divide it by the original price.

For example, if the original price was $10, and the reduced price is $9, then the reduced price is 90% of the original price, but it's at a 10% discount.

[tex]\frac{9}{10} = 0.9 = 90\%[/tex]

[tex]10-9=1[/tex]

[tex]\frac{1}{10}=0.1=10\%[/tex]

Answer:

dimensions of the phone are 7 inches x 12.44 inches

Step-by-step explanation:

The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.

That is;

Aspect ratio = height/width

Now, we are given;

Aspect ratio = 16:9 or 16/9

Width = 7" = 177.8 mm

Thus;

16/9 = height/177.8

Multiply both sides by 177.8 to give;

Height = (16 × 177.8)/9

Height = 316.089 mm

Converting 316.089 mm to inches gives us 12.44 inches.

Thus, dimensions of the phone are 7 inches x 12.44 inches