45 g and 60 b will go on a field trip. What is the maximum number of groups we can form where each group has the same number of g and the same number of b? How many g and how many b will each group have? Thank you.

Answer:

------------------------

Three-digit integer in the form of abc.

Possible numbers for each digit

Let a = 5 or 7, then for a we have 2, for b and c 10 options:

Let b = 5 or 7, then for a we have 9 - 2 = 7, for b 2 and for c 10 options

Let c = 5 or 7, then for a we have 9 - 2 = 7, for b 10 - 2 = 8 and for c 2 options

Answer:

Part A The vertex domain and range of the function g(x) = \x-7\ is (7,0),(-∞,∞) and [0,∞)

Part B The function f(x) =lxl is vertically shifted by 2 units to get the function h (x) = lxl { 2. The y - coordinate of the vertex is shifted by 2

The monthly budget for rent is $1,627.33 ≤ m ≤ $2,441.00

An equation is an expression that shows the relationship between two or more numbers and variables.

Let m represent the monthly rent of the shop.

The average yearly revenue is $195,280. Hence:

Monthly revenue = $195,280 / 12 = $16273.33

If the monthly budget for rent is 10%, hence:

m = 10% of $16273.33 = 0.1 * $16273.33 = $1627.33

If the monthly budget for rent is 15%, hence:

m = 15% of $16273.33 = 0.15 * $16273.33 = $2441.00

$1,627.33 ≤ m ≤ $2,441.00

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The solutions for the equations in each of the questions given are as follows;

It follows from the task content that the solution for all of the given word problems are to be determined.

25. If a number, n, divided by 8 equals 2.5, what is n?

The algebraic representation is; n/8 = 2.5.

Hence, the value of n is; n = 8 × 2.5 = 20.

26. The sum of a number, n, and 6.05 is 12.4. What is n?

The algebraic representation is; n + 6.05 = 12.4.

Hence, the value of n is; n = 12.4 - 6.05 = 6.35.

27. Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?

The algebraic representation is; 36/4 = n.

Hence, Stacy's age, n is; n = 9.

28. One-third of a painting job takes 24 hours. How long will it take to finish the entire job?

The algebraic representation is; n/3 = 24.

Hence, the value of n is; n = 3 × 24 = 72 hours.

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Answer:

A base

Step-by-step explanation:

its not an acid bc a ph level of 14 means is has a strong base.

Answer:

Don't know if i did it right but i think it is:

a=14

b=6

c=5

Part 1: The total length of the rectangle; 20 + x (Expression).

Part 2: The total width of the rectangle; 16 + x (Expression).

Part 3: The total area of the pool along with walkway; (20 + x)(16 + x).

The data for the question is given as-

The expressions for the given cases are-

Part 1: The total length of the rectangle;

The total length of the rectangle = 10 + 10 + x

The total length of the rectangle = 20 + x (Expression)

Considering; 10 + 10 > 8 + 8

Part 2: The total width of the rectangle;

The total width of the rectangle = 8 + 8 + x

The total width of the rectangle = 16 + x (Expression)

Part 3: The total area of the pool along with walkway.

Area = length x breadth

Area = (20 + x)(16 + x).

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Step-by-step explanation:

In a candy box, there are 3 times as many candies with nuts as candies without nuts. There are 12 candies in the box. How many candies with nuts are in the box?

let:

without nuts = x

with nuts = 3x

so:

x + 3x = 12

4x = 12

x = 3, so there are 3 candies without nuts.

Because there are three times more candies with nuts than without:

3 * 3 = 9 candies with nuts

Answer:

9 candies with nuts

Step-by-step explanation:

Suppose the number of candies is x

there three times as many candies with nuts as candies without nuts, so 3x

there are 12 candies in total

3x+x=12

4x=12

x=3

3x=9

If Helen wants to find the value. the upper bound for Helen's value of TC is 3.123 and lower bound is 3.092.

Upper bound

405 = 405.999

130 =130.99

Lower bound

405 = 405.001

130 =130.01

Now let find the upper and lower bound

Upper bound = 405.999/130.01

Upper bound =3.123

Lower bound = 405.001 /130.99

Lower bound = 3.092

Therefore the upper bound is 3.123.

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Answer:

Step-by-step explanation:

Sᴏ ᴛʜᴇ value of x= -4

x = -4

Step-by-step explanation:

Solution:-

[tex]{ \blue{ \sf{f(x) = - 4x + 8}}}[/tex]

In order to find the value of x, put 24 in the place of f(x) (given) then,

[tex]{ \blue{ \sf{24 = - 4x + 8}}}[/tex]

[tex]{ \blue{ \sf{24 - 8 = - 4x}}}[/tex]

[tex]{ \blue{ \sf{16 = - 4x}}}[/tex]

We should find the value of x. So divide bith the sides by -4. then,

[tex]{ \blue{ \sf{ - \frac{16}{4} = \frac{ - 4}{ - 4} x}}}[/tex]

[tex]{ \bold{ \boxed{ \red{ \sf{ -4 = x}}}}} \: (or) \: { \bold{ \boxed{ \red{ \sf{x = - 4}}}}}[/tex]

For a single game, the mean and the standard deviation of the number of hits is given as follows:

For 25 games, the mean and the standard deviation are:

For 50 games, the mean and the standard deviation are:

This shows that as the number of trials increase, the standard error reduces.

The mean is given by the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 0 x 0.1666 + 1 x 0.3275 + 2 x 0.2875 + 3 x 0.1489 + 4 x 0.0382 + 5 x 0.0313 = 1.659 hits.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values, hence:

S(X) = sqrt((0-1.659)² x 0.1666 + (1-1.659)² x 0.3275 + (2-1.659)² x 0.2875 + (3-1.659)² x 0.1489 + (4-1.659)² x 0.0382 + (5-1.659)² x 0.0313) = 1.209.

For the repetition of n experiments, we have that the mean remains constant, while the standard deviation is given as follows:

s = S(X)/sqrt(n).

Meaning that it is divided by the square root of the sample size.

Hence, for 25 games, the standard deviation is:

S(X) = 1.209/sqrt(25) = 0.242.

For 50 games, the standard deviation is:

S(X) = 1.209/sqrt(50) = 0.171.

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Check answer below in the image.

Answer:

WITDTH=7

Step-by-step explanation:

width = w

length = w + 2.

w(w + 2) = 63 (area)

quadratic equation in w:

w2 + 2w = 63

w2 + 2w - 63 = 0

FACTOR:

(w + 9)(w - 7) = 0

  9-7=2

   9x(-7) = -63

Two possible solutions:

w + 9 = 0 (solution w = -9) or

w - 7 = 0 (solution w = 7)

The width must be positive, the answer is 7 units.

length = w+2

length  = 9

Estimated Answer=1/2 hour

Exact Answer= 49/101 hour

Step-by-step explanation:

Steady speed of the object =10 and one tenth km​/h = 10 1/10 km

Distance to be Covered=4 and nine tenths km = 4 9/10 km

To the nearest integer,

Steady speed of the object = 10 km/hr

Distance=5km

= 5/10 =1/2 hr

The estimated answer is 1/2 hr.

The exact time taken is 49/101 hours

The solution of x ≤ 3 depicts that all the value of x is either less than 3 or equal to 3, so option C is correct.

In mathematics, numbers are shown visually as a straight line on a number line. The numerals on a number line are positioned in a specific order and spaced out equally throughout its length. Since it can go on forever in any direction, it is frequently presented horizontally.

The expression x ≤ 3 depicts that the value of x is less than 3 or equal to 3, this can be represented in the image attached below.

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In order to a breakpoint or the total cost = total investment company must need to sell 100 grams of links.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's suppose the number of links that are needed to solve for a breakpoint is x.

Cost of x number of links with the rate of $2/gram = 2x

Total cost = total selling

100 + 2x = 3x

3x - 2x = 100

x = $100

Hence "In order to break even point or the total cost = total investment company must need to sell 100 grams of links".

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The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).

Given that:

Enrique predicts that he can make additional money from sales of accessories and services for computer products sold by his store.

The store makes x dollars selling computer products, Enrique predicts the store will make 0.05x dollars ($0.05) from selling accessories.

The following steps can be used in order to determine the equation that represents the predicted amount y:

Step 1 - According to the given data, the store makes x dollars selling computer products.

Step 2 - It is also given that, in January and February of this year, the store made $2,500 from sales of accessories and services.

Step 3 - So, the linear equation that represents the given situation is:

y = 0.05x + 2500

Hence the answer is The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).

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The distance from one corner of the field to the opposite corner, using the Pythagorean Theorem, is of:

125 meters.

The Pythagorean Theorem is a geometry axiom relating the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the equation presented as follows:

[tex]h^2 = l_1^2 + l_2^2[/tex]

From the situation described in this problem, we have that:

Hence the distance from one corner of the field to the opposite corner is obtained as follows:

d² = 68² + 105²

d = sqrt(68² + 105²)

d = 125 meters.

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Answer:

Step-by-step explanation:

 mu = 35,420 sigma = 2,050 n = 256 s...

The missing values that completes the table is shown in the attachment below.

To complete the table that is given in the table above, plug in the value of x into the equation and solve accordingly.

For x = 1, substitute the value of x into y = 3x² and y = 3^x:

y = 3(1)²

y = 3(1)

y = 3

y = 3^(1)

y = 3

For x = 2, substitute the value of x into y = 3x² and y = 3^x:

y = 3(2)²

y = 3(4)

y = 12

y = 3^(2)

y = 9

The complete table is shown below.

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The solution of quadratic equation 8x² = 6 + 22x is x = 3 and x = -1/4

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

Given expression is,

8x² = 6 + 22x

Rewrite this expression as,

8x² - 6 - 22x = 0

8x² - 22x - 6 = 0

Now, we get the form quadratic equation i.e, ax² + bx + c = 0

Solve the equation and find roots

8x² - 22x - 6 = 0

2(4x² - 11x - 3) = 0

4x² - 11x  - 3 = 0

4x² - 12x + x - 3 = 0

Take common terms out,

4x(x - 3) + 1(x - 3) = 0

we get the brackets same that means we're on right way,

(4x + 1) (x - 3) = 0

split the values into two,

4x + 1 = 0      and  x - 3 = 0

4x = -1                    x = 3

x = -1/4

Therefore, the solution of quadratic equation 8x² = 6 + 22x is x = 3 and   x = -1/4

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The coordinates for H are (9,2)

What are the coordinates?

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

Here, we have

D(0, 0), E(3, 1), and F(3, 0) is similar to triangle EGH.

coordinates are (x,y) = (x+6,y+2)

F's coordinate is (3,0)

using the coordinates we get (9,2)

Hence, the coordinates of H are (9,2)

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Answer:

140

Step-by-step explanation:

140

Answer:

it's b extra words. extra words. extra words. extra words

Step-by-step explanation:

I took the test

Answer:6, 6, 12

Step-by-step explanation

2 sides must be equal which means 6 and 6 points  are moving towards each other and 12 is the length

Part a: ΔABC≈ΔAPQ

Part b: The line segment PQ corresponds to the line segment BC.

Part c: Angle P in APQ triangle angle equates to angle B.

Part a: line segment PQ parallel to BC; PQ||BC

Thus, ∠ABC =∠APQ  AND,   ∠ACB=∠AQP

So, by (AA similarity rule)

ΔABC≈ΔAPQ

Part b: The line segment APQ on the triangle corresponds to the line segment BC:

By CPST, line segment PQ on triangle APQ equates to line segment BC (corresponding parts of similar triangle).

Part c: APQ triangle angle equates to angle B:

Angle P on triangle APQ equals angle B via CPST (corresponding parts of similar triangle).

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Cost will be $180 and so will be the revenue.

 Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.

Cost: C=72+6s, where s is the number of shirts sold

Revenue: R=10s

Break-even is where they are equal

72 + 6s = 10s

72/4 = s

s = 18 shirt s

Cost will be $180 and so will be the revenue.

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Out of 60 donuts there are 36 chocolate-glazed donuts.

What is donuts?

A leavened, fried dough product is known as a doughnut or donut. It is a common sweet snack that can be made at home or bought in bakeries, supermarkets, food stands, and franchised specialty retailers. It is produced in a variety of ways.

Given: Megan bought 60 donuts for study club.

She told the worker at the donut shop that she wanted 60% of the donuts to be chocolate glazed.

Let the total donuts are 60.

And the 60% of 60 are,

60 x 0.6 = 36

Therefore, 36 donuts are chocolate - glazed.

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The equation of a line parallel to x - 4y = 36 is x - 4y = 16.

If the two lines are parallel then their slope must be equal. Two parallels lines have different intercepts but same slope. The slope intercept form of a line is y = mx + c. Where m is the slope and c is the intercept.

Now, writing the given equation in slope-intercept form,

x - 4y = 36

4y = x - 36

[tex]y=\frac{1}{4}x-9[/tex]

By comparing it with slope-intercept form, we get

[tex]m=\frac{1}{4}[/tex]

c = -9

Now, Finding the equation of line passing through (-4,-5) with slope as [tex]\frac{1}{4}[/tex],

[tex]m=\frac{y-y_1}{x-x_1} \\\\\frac{1}{4}=\frac{y-(-5)}{x-(-4)}\\\\ \frac{1}{4}=\frac{y+5}{x+4}\\x+4=4y+20\\x-4y=16[/tex]

The equation of parallel line is x - 4y = 16.

Hence, the equation of a line parallel to x - 4y = 36 is x - 4y = 16.

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The width is 5 units.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

length = width + 1

let the width be x

length= x+ 1

So, area of rectangle= l x w

30 = x( x+ 1)

x² + x - 30=0

x² + 6x - 5x - 30=0

x( x+ 6) - 5(x +6)= 0

(x+ 6)( x- 5)= 0

x= -6 or 5

Hence, the width is 5 units.

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