simplify the expression 5(2g + 3)

To graph a linear equation, including the function y + 4 = 5 · x, we needed to rewrite the equation into its explicit form, mark two distinct points on a Cartesian plane and pass a line through them. The result is presented in the image attached below.

Herein we find a linear equation in a non-canonical form and to which we are asked to graph. According to geometry, lines can be created by knowing the location of two distinct points on Cartesian plane. The detailed procedure is now shown.

First, clear the variable y to obtain the explicit form of the linear equation:

y = 5 · x + 4

Second, look up for two distinct points on Cartesian plane by evaluating the expression at distinct values of x:

x = 0

y = 5 · 0 + 4

y = 4

x = 1

y = 5 · 1 + 4

y = 9

The points (0, 4) and (1, 9) lie on the line.

Third, mark the coordinates of the two points and pass a line through them.

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try do to division, 14÷3800

I'm not sure about the round though

A=P e rt is known as the continual" growth formula.

What is a PE RT formula?

A = PRT, where "A" is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (represented as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate), is the equation for "continual" growth (or decay).

What is the purpose of a PE RT?

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[tex]8(x + 7) = 96 \\ 8x + 56 = 96 \\ 8x = 96 - 56 \\ 8x = 40 \\ x = \frac{40}{8} \: \: \: \: \: so \: \: \: \: x = 5[/tex]

Answer:

5

Step-by-step explanation:

If im seeing this correctly, its 8(?+7) =96

if you put 5 instead of the ?

It will equal 12.

12×8 =96

The simplified answer is 5p - 1.25p²

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

2.5p(2 - 0.5p)

Now solving further

2.5p * 2 - 2.5p (0.5p)

5p - 1.25p²

Hence, the simplified answer is 5p - 1.25p².

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The probability of grabbing a lemon-limbed or a fruit punch bottle from the cooler is 6/11.

'AND' represents multiplication and 'OR' represents addition.

The total number of bottles of sports drinks which is also our sample space

N(S) = 11.

The number of lemon-lime flavored bottles [tex]N(L_l)[/tex] = 3.

The Number of fruit punch flavored bottles [tex]N(F_p)[/tex] = 3.

So, the probability of grabbing a lemon-lime bottle [tex]P(L_l)[/tex] = [tex]\frac{N(L_l)}{N(S)}[/tex] = 3/11.

And, the probability of grabbing a fruit punch bottle [tex]P(F_p)[/tex] = [tex]\frac{N(F_p)}{N(S)}[/tex] = 3/11.

∴ The probability of grabbing a lemon-lime or a fruit punch bottle is the sum of the probability [tex]P(L_l) + P(F_p)[/tex].

= 3/11 + 3/11.

= 6/11.

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The equation model the situation is mathematically given as

(0.5x + 7.5) = 0.75(x + 6)

This is further explained below.

Generally, the  cost of the beads in a necklace is  mathematically given as

0.50x + 6*1.25 = 0.5x + 7.5 dollars

Therefore

There are a total of x + 6 beads. Due to the fact that 0.75 is the typical cost of the beads,

[tex]\frac{0.5 x+7.5}{x+6}=0.75[/tex]

0.5 x+7.5=0.75(x+6)

In conclusion, The solution for x may be obtained as follows:

0.5x + 7.5 = 0.75x + 4.5

-0.25x = -3

x = -3/-0.25

x= 12

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NOTE; This is a complete question, with no given option, even on the internet.

Answer: 1 1/2> 5/4> 100%> 7/10> 0.25

Step-by-step explanation:

1 1/2= 1.50

5/4= 1.25

0.25

7/10= 0.70

100%= 1

1.50>1.25>1>0.70>0.25

Answer:

The 4th Option

Step-by-step explanation:

For a graph to be a function, it must not be broken up at any point (as in Option 3) and there can be no points that overlap each other vertically (as in Options 1 and 2). So, the only option that is continuous and with no overlapping points is Option 4.

The equation for the number of 30 days periods until the value of both cards will be equal is 130 - 3x = 110 - 2.5x

let

Number of 30 days period = x

Gift card 1:

130 - 3x

Gift card 2:

110 - 2.5x

130 - 3x = 110 - 2.5x

130 - 110 = -2.5x + 3x

20 = 0.5x

x = 20/0.5

x = 40

So,

Gift card 1:

130 - 3x

= 130 - 3(40)

= 130 - 120

= $10

Gift card 2:

110 - 2.5x

= 110 - 2.5(40)

= 110 - 100

= $10

Therefore, the value of each card when they have equal value is $10

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Answer:

g-1(x)=-1/4x+3/2

Step-by-step explanation:

The number of persons that would be able to receive the chocolates based on the question is 19

The total number of chocolate = 6 1/2

This can be written to be 13 / 2 or 6.5

The number or amount that she has to give from what is contained in the box to each person is 1/3 = 0.33

Hence to get the number of people that would receive the chocolate we would have

6.5 / 0.33

= 19.5

This can be approximated to 19

Hence the total number that would receive the chocolate is 19

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We will use factorization for the given equation. The factors of the expression x²-6 x+8 are x = 2, x = 4

Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, the polynomial x2 - 4 and the number 15 may both be factored using the formula 3 × 5.

Given,

x²-6 x+8

Using factorization,

x² -4x - 2x + 8

⇒ x(x - 4) - 2(x - 4)

⇒ (x-2) (x-4)

⇒ x = 2, x = 4

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Answer:

A. M^3

Step-by-step explanation:

Answer:

[tex]m^3[/tex]

Step-by-step explanation:

We can subtract the exponent 4 from the exponent 7.

Therefore,

[tex]m^{7-4}[/tex] is the answer

Then we simplify:

[tex]m^3[/tex] is our final answer.

Hope this helped!

Answer:

Step-by-step explanation:

3 pounds

12 divided by 4= 3 pounds

Answer:

162.56 centimeters

Step-by-step explanation:

60 inches + 4 inches = 64 inches

1 inch =

2.54 centimeters

64 inches = 162.56 centimeters

Given congruent triangles ΔABC and ΔMNL, the corresponding parts or sides include the following:

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length (numerical value).

In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Given congruent triangles ΔABC and ΔMNL, the corresponding parts or sides include the following:

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Answer:

Step-by-step explanation:

Answer:

Let s =cost of skiing per day. Here's what we know:

450 + 20s = 64s + 20s (the season pass plus ski rentals equates to daily skiing plus ski rentals)

We have 20s on both sides, so those cancel out easily:

450 = 64s

Divide both sides by 64:

7.03 ≈ s

You can't pay for a partial day, so the skier will have to ski for at least 8 days to make the season pass cheaper than getting daily passes.

Step-by-step explanation:

Hope this helps :D

Answer:

3-y/3

The slope is -2/5

Step-by-step explanation:

The values of the function f and g are -1, -3, -5, -7, -9 and 15,10,5,0,-5.

According to the statement

We have to find that the values of the function.

So, For this purpose, we know that the

The function is an expression that defines a relationship between one variable and another variable.

From the given information:

The functions are:

f(x) = 2x - 7 and g is defined by g(x) = 5x.

And Find f(3), f(2), f(1), f(0), and f(-1) and Find g(3), g(2), g(1), g(0), and g(-1).

Then

f(x) = 2x - 7

f(3) = 2(3) - 7 = 6 - 7 = -1.

f(2) = 2(2) - 7 = 4 - 7 = -3.

f(1) = 2(1) - 7 = 2 - 7 = -5.

f(0) = 2(0) - 7 = 0 - 7 = -7.

f(-1) = 2(-1) - 7 = -2 - 7 = -9.

And then

g(x) = 5x

g(3) = 5(3) =  15.

g(2) = 5(2) = 10.

g(1) = 5(1 ) = 5.

g(0) = 5(0) = 0.

g(-1) = 5(-1) = -5.

So, The values of the function f and g are -1, -3, -5, -7, -9 and 15,10,5,0,-5.

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Answer:

Step-by-step explanation:

The sum of two numbers is 56 and the difference is 24. What are the numbers?

remove the difference from the sum and divide by two, you have the first number, add the difference to the first number and you will have the second number

(56 - 24) : 2 =

32 : 2 =

16  (1st number)

16 + 24 =

40 (2nd number)

Answer:

Step-by-step explanation:

64

Answer:  -2 (16x + 1)

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

on the left you have a ninety-degree angle.

5(x-12) = 90

5x-60=90

  +60 +60

5x=150

/       /

5      5

x=30

Answer:

133

Step-by-step explanation:

for that we need to sort the numbers :

124,126,128,132,132,134,134,134,142,146

the median is the number, for which half of the other numbers are smaller, and the other half of the other numbers is larger.

as we have 10 numbers, there is no such single middle number.

instead, we take the 2 middle numbers and calculate their mean value. that is then the median.

the 2 middle numbers are based on our sorted list above

132, 134

the mean value is

(132 + 134)/2 = 133

and that is then the median.

Answer:

2 years

Step-by-step explanation:

I= PRT/100

I=£30000 x 12 x 1 /100 =£3600

Since the interest for one year is £3600, the interest for two years is £3600x2 =£7200

The answer will be y =2

x and y graph also known as the x and y-axis are two important lines that make a graph. A graph consists of a horizontal axis and a vertical axis where data can be represented. A point can be described in a horizontal way or a vertical way, which can be easily understood using a graph. These horizontal and vertical lines or axis in a graph are the x-axis and y-axis respectively.

A x and y graph can be defined by the two axes i.e. x-axis and the y-axis that form a coordinate plane for a graph. The horizontal axis is represented by the x-axis and the vertical axis is represented by the y-axis. The point where the x and y-axis intersect is known as the origin and is used as the reference point for the plane.

y = 1/3x

when x =0

y = 0

when x =3

y = 1/3×3 = 1

when x=6

y=1/3×6= 2.

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abc is right angled triangle,

A triangle in which one of the interior angles is 90° is called a right angled triangle.

According to the diagram 'ab' is the height or perpendicular 'ac' is the base and 'bc' is the hypotenuse of the triangle.

Sin θ = [tex]\frac{perpendicular}{hypotenuse}[/tex]

Cos θ = [tex]\frac{base}{hypotenuse}[/tex]

Tan θ = [tex]\frac{perpendicular}{base}[/tex]

Cosine angle at b will be represented as Cos b = [tex]\frac{base}{hypotenuse}[/tex] = [tex]\frac{ab}{bc}[/tex]

the base considered for the angle at 'b' will be 'ab' since Cosine uses the base attached to the angle.

Sine angle at c will be represented as Sin c = [tex]\frac{perpendicular}{hypotenuse}[/tex] = [tex]\frac{ab}{bc}[/tex]

the perpendicular considered for the angle at 'c' will be 'ab' since Sine uses the perpendicular which lies opposite to the angle considered.

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2 is 4/6, 8/12

3 is 2/4, 4/8

4 is 8/10, 16/20

5 is =

6 is >

7 is >

8 is =

9 is =

10 is <

11 is =

12 is >

Answer:

Step-by-step explanation: the answer is D. because all of the oher choices don't make sense obviously.