Alone, Brenda can dig a ditch in 5 hours. If Jack helps her, the two of them can dig
the ditch in 3 hours. How long would it take Jack to dig the ditch himself?

Brainliest if answered first

Answer:

a) if x = 2, y = -1

b) y = 5

Step-by-step explanation:

12x - 4y = -20 Let's substitute x = 2

12(-2) - 4y = -20 Multiply

-24 - 4y = -20 Add 24 to each side

-4y = 4 Multiply each side by -1

4y = -4 Divide by 4

y = -1

now to solve for y in general:

12x - 4y = -20 Subtract 12x

-4y = -20 - 12x Divide by -4

y = 5 + 3x Sub 0

y = 5 + 3(0)

y = 5

Answer:

24?

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

i used calculator

Answer:  1.6

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)

The number is 18 . A ) The equation is 12 + 10 x  = 192 B ) x = 18 .

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.

B ) Solving above equation 12 + 10 x  = 192

10 x  = 192 -12

10 x = 180

x = 18

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Answer:

C

Step-by-step explanation:

8+q=17

17-8=9

The answer is 9

You would replace p in the equation with 8, then subtract 8 from 17 leaving you with 9

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

By answering the presented question, we may conclude that Therefore, 1  expressions cm on the map corresponds to a real distance of 3.2 km. 

In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Scale 1:

320000 means that 1 unit on the map represents his 320000 units in the real world.

To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.

1 kilometer = 100000 cm

So,

1 unit on the map = 320000 units in the real world

1 cm on the map = (1/100000) km in the real world

Multiplying both sides by 1 cm gives:

1 cm on the map = (1/100000) km * 320000

A simplification of this expression:

1 cm on the map = 3.2 km

Therefore, 1 cm on the map corresponds to a real distance of 3.2 km. 

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Answer:

Step-by-step explanation:

V = pi r^2 h

V = 187

pi = 3.14

r = 3

h = ?

187 = 3.14 * 3^2 * h

187 = 3.14 * 9 * h

187 = 28.26 * h

187 / 28.26 = h

h = 6.62

Answer:

The height of cylinder is 6.61 inches.

Step-by-step explanation:

Volume of cylinder = π × r ² × h

Where,

Using Formula

Volume of cylinder = π × r ² × h

Substitute the values

187 inches ³ = π × ( 3 inches ) ² × h

Using π = 3.14

187 inches ³ = 3.14 × 9 inches ² × h

multiply

187 inches ³ = 28.26 inches ² × h

Divide , we get

187 inches ³ / 28.26 = h

6.61 inches = h

Therefore, The height of cylinder is 6.61 inches.

Step-by-step explanation:

(-8-9)+23

-17+23

6.........

The value of algebraic expression [(-8) + ( -9)] + 23 is 6.

Here,

We have to simplify;  the sum of -8 and -9, increased by 23.

And, find an algebraic expression.

What is Algebraic expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Now,

The written expression is, the sum of -8 and -9, increased by 23.

It can be written as,

⇒ [(-8) + ( -9)] + 23

⇒ - 8 - 9 + 23

⇒ - 17 + 23

⇒ 6

Hence, The value of algebraic expression [(-8) + ( -9)] + 23 is 6.

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Since the perimeter of the painting and the frame is 82 inches we can write an expression to calculate it, considering that there is a part x over and below the painting.

Therefore the perimeter can be written:

(13+2x)+(13+2x)+(16+2x)+(16+2x)=82

26+4x+32+4x=82

58+8x=82

8x=82-58

8x=24

x=3

Given the fact that x is 3

Then the width of the frame is 16+ 2(3) = 22 inches

Answer:

I'm sorry, but there is no feature for this in this game.  But, there is a grid and a sizing tool.  You'll just have to make an educated guess based on the size of your character and your character's stage of life (baby, toddler, kid, teen, adult).  Hope I helped!  I once had the same question, but just did this.  I think each big grid square maybe is 3-5 ft?

Answer:

z(max) = 650 $

x₁ = 10 units

x₂ = 15 units

Step-by-step explanation:

That is a linear programming problem, we will use a simplex method to solve it

Formulation:

Let´s call  x₁  number of chairs   and x₂ number of tables then :

Item              (in hours)     cutting       assembly      finishing        Profit ($)

Chairs (x₁)                              1                   2                     1                      20

Tables (x₂)                              2                   1                      1                      30

Availability                           40                 42                   25

Objective Function

z  =  20*x₁   +  30x₂   ( to maximize) subject to:

x₁  +  2x₂   ≤  40

2x₁  + x₂    ≤  42

x₁ + x₂     ≤    25

x₁  ,   x₂  >= 0

Using excel or any other software we find:

z(max) = 650

x₁ = 10

x₂ = 15

The chairs and tables manufactured by the factory is an illustration of linear programming, where the maximum revenue is 674

Let x represent chairs, and y represent tables

So, the given parameters are:

Cutting:

So, the constraint is:

\(\mathbf{x + 2y \le 40}\)

Assembly:

So, the constraint is:

\(\mathbf{2x + y \le 42}\)

Finishing:

So, the constraint is:

\(\mathbf{x + y \le 25}\)

The unit profit on the items are:

So, the objective function to maximize is:

\(\mathbf{Max\ z = 20x + 30y}\)

And the constraints are:

\(\mathbf{x + 2y \le 40}\)

\(\mathbf{2x + y \le 42}\)

\(\mathbf{x + y \le 25}\)

\(\mathbf{x,y \ge 0}\)

Using graphical method (see attachment for graph), we have the following feasible points:

\(\mathbf{(x,y) = \{(10,15),\ (17,8),\ (14.67, 12.67)\}}\)

Calculate the objective function using the feasible points.

\(\mathbf{z = 20 \times 10 + 30 \times 15}\)

\(\mathbf{z = 650}\)

\(\mathbf{z = 20 \times 17 + 30 \times 8}\)

\(\mathbf{z = 580}\)

\(\mathbf{z = 20 \times 14.67+ 30 \times 12.67}\)

\(\mathbf{z = 673.5}\)

Approximate

\(\mathbf{z = 674}\)

Hence, the maximum revenue is 674

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Answer:

I dont know

Step-by-step explanation:

The frame for the rectangular portrait will cost $180.00.

The rectangular portrait has a width of 1 yard and a height of 2 yards. To calculate the perimeter of the portrait, which represents the length of frame required, we can use the formula:

Perimeter = 2 * (Width + Height)

Substituting the values, we have:

Perimeter = 2 * (1 yard + 2 yards) = 2 * 3 yards = 6 yards

The cost of the frame is given as $30.00 per yard. To calculate the total cost of the frame, we multiply the length of the frame (in yards) by the cost per yard:

Frame Cost = Perimeter * Cost per yard = 6 yards * $30.00/yard = $180.00

Therefore, the frame for the rectangular portrait will cost $180.00.

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Answer:

1/x^9

Step-by-step explanation:

I don't actually understand this question, but if you are asking (x^(-9)), then its the answer above

Answer:

(a) \(Sequence: -1, 1, 3\)

(b) nth term: \(T_n = 4+ 5n\)

Step-by-step explanation:

Solving (a)

Given

\(T_n = 2n - 3\)

The first 3 terms.

When n = 1

\(T_1 = 2*1 - 3\)

\(T_1 = 2 - 3\)

\(T_1 = -1\)

When n = 2

\(T_2 = 2*2 - 3\)

\(T_2 = 4 - 3\)

\(T_2 = 1\)

When n = 3

\(T_3 = 3*2 - 3\)

\(T_3 = 6 - 3\)

\(T_3= 3\)

So, the first three terms are:

\(Sequence: -1, 1, 3\)

Solving (b)

Given

\(Sequence: 9,14,19,24\)

Required

The nth term

The sequence is arithmetic.

So, first calculate the common difference (d)

\(d = 14 - 9\)

\(d = 5\)

The nth term is then calculated as:

\(T_n = a + (n - 1) * d\)

Where

\(a =First\ term\)

So:

\(a = 9\) and \(d = 5\)

\(T_n = 9 + (n - 1) * 5\)

\(T_n = 9 + 5n - 5\)

Collect like terms

\(T_n = 9 - 5+ 5n\)

\(T_n = 4+ 5n\)

The triangle is obtuse because 11^2 + 21^2 does not equal 29^2.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

We can use this theorem to determine the type of triangle by calculating the square of the longest side (29^2), and then comparing it to the sum of the squares of the other two sides (11^2 + 21^2). Since 11^2 + 21^2 does not equal 29^2, the triangle is obtuse.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

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Answer:

19.6 in²

Step-by-step explanation:

area of circle = π r²

= π (3 1/2)²

= π (5/2)²

= π 25/4

= 22/7 x 25/4

= 275/14

=19.6 in²

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

\(\mu = 65 - 70 = -5\)

The standard deviation is the square root of the sum of the variances. So

\(\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81\)

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0 - (-5)}{7.81}\)

\(Z = 0.64\)

\(Z = 0.64\) has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

By using the given diagram, we can see that the ordered pair that represents point B is (-4, 0)

Any point on a coordinate plane has a ordered pair associated to it, that tells us the location of the point (x, y).

For example, the intersection between the two axes is the point (0, 0).

The first value, x, represents the horizontal displacement, the second variable, y, represents the vertical displacement.

Here we can see that B is 4 units to the left of the center, then the ordered pair that represents point B is (-4, 0)

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Commutativity justifies the statement, of If n is a multiple of 8, then n is even. However, n is not even. Therefore, n is not a multiple of 8.

Commutativity is used in Maths equations and describes sums that can be moved around and will still give the same answer.

'Commutative' comes from the word 'commute' which means to move and travel around, so equations that are commutative have numbers that can be moved within the equation.

commutative law, in mathematics, is either of two laws relating to number operations of addition and multiplication that are stated symbolically as a + b = b + a and ab = ba.

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Answer:

(-1,2)

Step-by-step explanation:

Write out the system in a matrix

3  5     7

2(6  -1    -8 ) Multiply row two by five and add to row one.

1  0  -1 Multiply row 1 by -6 and add it to row two.

6  -1  -8

1 0 -1

0 -1 -2 Multiply bottom row by -1

1 0 -1

0 1 2

x=-1, y=2

Answer:

y = 22

Step-by-step explanation:

One hundred five is equal to seventy-eight plus y.

Answer:

I think answer A

Step-by-step explanation:

Im very sorry if thats wrong

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Answer:

1541

Step-by-step explanation:

1. Find g(7).

Plug in 7 for x in the function g(x).

3(7)-5

= 21 -5 = 16

2. Plug 16 into x for f(x).

6(16)^2 +5

= (256 x 6)+5 = 1541

Answer:

C. 3, 1/3, .3, 3%

Step-by-step explanation:

3 is a whole number that makes it the greatest

1/3 in a decimal form is 0.33 repeating

.3 is .30 which is smaller than previous.

3% converted in decimal form is 0.03 which is the smallest