Barbara has x dollars to spend. Joe has 2x + 3
dollars to spend. Which of these expressions
represents the total amount of money Barbara and
Joe have to spend?

Answer:

$12

Step-by-step explanation:

$144 = 12 mangoes

Divide both sides by 12

$12 = 1 mango

Answer:

13

Step-by-step explanation:

If you were to plug the points into a graph you would have to go down 6 over 7 making it 13

Answer:

A box of 144 chocolate bars for 72 dollar.

Then each chocolate bar costs: 144/72 = 2 dollar

=> Price up to 50%: P = 2 x (1 + 50/100) = 2 x 3/2 = 3 dollar

Hope this helps!

:)

Answer:wow

Step-by-step explanation:sad

Answer:

D. y = -7

Step-by-step explanation:

Given:

x1 = 9

y1 = -7

slope (m) = 0

Solution:

y - y1 = m ( x - x1 )

y - (-7) = 0 ( x - 9 )

y + 7 = 0

y = -7

Answer:

a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour

Answer:

This is an example of task abstraction, which refers to identifying the fundamental goals and objectives of a data visualization task by abstracting it from the specific context and formulating it in general terms. In this case, the task abstraction is to visualize the correlation between two numeric variables.

Step-by-step explanation:

Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.

Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.

Here,

Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.

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The equation for the profit is 16.85N + 550

Production costs include all direct and indirect costs incurred by businesses when producing a product or providing a service. Labor, raw materials, consumable manufacturing supplies, and general overhead are all examples of production costs.

The total cost incurred by a business to produce a specific quantity of a product or provide a service is referred to as the cost of production. Labor, raw materials, and consumable supplies are examples of production costs

Given that the total production cost C (in dollars) is given by the function C = 15.95N + 550,

where N is the number of books.

The total revenue earned (in dollars) from selling the books is given by the function R = 32.80N.

Therefore, profit will be:

= Revenue - Cost

= 32.80N - 15.95N + 550,

= 16.85N + 550

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The smallest such whole number is 11 which is, Which is divided by 3, the remainder is 2, f it, divided by 4, the remainder is 3

Let the number be x

Here we have to find the whole number which is Divided by 3,4 the remainder is 2,3 respectively,

x+(3–2)= x +1 is multiple of 3

Div by 4 remainder is

3x+(4–3) = x+1 is multiple of 4

So LCM of 3,4 is 3×4 = 12

Hence,x=12 –1 =11

The smallest such whole number is 11 which is divided by 3, the remainder is 2, if it divided by 4, the remainder is 3.

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\(Answer: \large\boxed{Cos(\theta_{1} )=\frac{84}{85}}\)

Step-by-step explanation:

Thinking about a triangle in Quadrant IV, we can imagine sin as opposite/hypotenuse. Therefore, the hypotenuse is 85 and the opposite angle is -13. To find the adjacent angle, we use the pythagorean theorum,

\(a^2+b^2=c^2\)

\(-13^2+b^2=85^2\)

\(169+b^2=7225\)

\(b^2=7056\)

\(b=\sqrt{7056}\)

\(b=\pm84\)

Taking only the positive number, the adjacent angle is 84

Now that we have all 3 sides, we can find the cosine.

Cosine is adjacent/hypotenuse

Therefore,

\(Cos(\theta_{1} )=\frac{84}{85}\)

See the attached picture:

Answer:

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=25

Step-by-step explanation:

mafs

19+6

(19+1)+(6-1)    adding 1 to 1 number and subtracting 1 from the other

20+5             simplifying

25                 now it's just adding 20 + 0 + 5 = 25

This problem is a little abstract, but I hope it helped. Happy mathing!

Answer:

y=2x+b

Step-by-step explanation:

Step-by-step explanation:

\( \frac{3 {}^{6} }{3 {}^{4} } \)

3 from the numerator was multiplied six times, and 3 from the denominator is multiplied 4 times. The small number at the top right (which is the exponent) of the 3 is how much the number is repeated.

Answer:

\(3^2\)

Step-by-step explanation:

The numerator can be simplified to \(3^6\)

The denominator can be simplified to \(3^4\)

\(\frac{3^6}{3^4}\) using the exponents rule, \(\frac{a^5}{a^3}=a^{5-3}=a^2\)

\(3^6/3^4=3^{6-4}=3^2\)

Hope this helps :)

Answer:

=2

Step-by-step explanation:

Answer:

ridiculous

Step-by-step explanation:

tssssk *extra characters*

Answer:

53912878951978360832q4918

Step-by-step explanation:

9257289357218q4918(5823829.943259)

=53912878951978360832q4918

The initial (artificial) basic solution is:
\(A₁ = 300\\A₂ = 300\\x₁ = 150\\x₂ = 0\\x₃ = 0\\x₄ = 0\)

To construct the first simplex tableau using the Big M method, we need to introduce artificial variables and create an augmented matrix.

The given problem has two constraints, so we introduce two artificial variables, A₁ and A₂.

The augmented matrix for the problem is:
\([2   3   4   2   |  300]\\[8   1   1   5   |  300]\\[1   0   0   0   |   0]\\[0   1   0   0   |   0]\)

Next, we rewrite the objective function with the artificial variables:
\(Z = 4x₁ + 2x₂ + 3x₃ + 5x₄ - MA₁ - MA₂\)

To find the initial (artificial) basic solution, we set the artificial variables as the basic variables. In this case, A₁ and A₂ are the basic variables, and their values are set to 300 (from the constraints).

The initial entering basic variable is determined by selecting the most negative coefficient in the objective row.

Here, the most negative coefficient is -M.

Therefore, the initial entering basic variable is A₁.

The initial leaving basic variable is determined by selecting the minimum ratio of the constants to the entering variable's coefficients in each constraint.

For A₁, the minimum ratio is 300/2 = 150.

Thus, the initial leaving basic variable is x₁.

So, the initial (artificial) basic solution is:
\(A₁ = 300\\A₂ = 300\\x₁ = 150\\x₂ = 0\\x₃ = 0\\x₄ = 0\)

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Using the Big M method, the complete first simplex tableau for the given linear programming problem is constructed as follows:

┌─────────────┬──────┬───────┬───────┬───────┬─────┬─────┬─────────────┐

│     BV      │  x₁  │   x₂  │   x₃  │   x₄  │  s₁ │  s₂ │      RHS    │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────┼─────────────┤

│      Z      │  4   │   2   │   3   │   5   │  0  │  0  │      0      │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────┼─────────────┤

│  2x₁ + 3x₂  │  2   │   3   │   4   │   2   │ -1  │  0  │     300     │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────┼─────────────┤

│   8x₁ + x₂  │  8   │   1   │   1   │   5   │  0  │ -1  │     300     │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────┼─────────────┤

│     x₁      │  1   │   0   │   0   │   0   │  0  │  0  │      0      │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────┼─────────────┤

│     x₂      │  0   │   1   │   0   │   0   │  0  │  0  │      0      │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────┼─────────────┤

│     x₃      │  0   │   0   │   1   │   0   │  0  │  0  │      0      │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────┼─────────────┤

│     x₄      │  0   │   0   │   0   │   1   │  0  │  0  │      0      │

└─────────────┴──────┴───────┴───────┴───────┴─────┴─────┴─────────────┘

The initial (artificial) basic solution is x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 0, s₁ = 300, s₂ = 300. The initial entering basic variable is x₁, which has the most positive coefficient in the objective row. The leaving basic variable is s₁, determined by selecting the row with the smallest positive ratio of the right-hand side (RHS) to the entering column's coefficient. In this case, the ratio for the second row (300/2) is the smallest, so s₁ leaves the basis.

To construct the complete first simplex tableau using the Big M method, we first convert the given problem into standard form by introducing slack variables (s₁ and s₂) for the equations. Since there are no nonnegativity constraints for the decision variables, we don't include additional artificial variables in the objective function.

The first row represents the objective function, where the coefficients of the decision variables x₁, x₂, x₃, and x₄ are taken directly from the given problem. The slack variables and the artificial variables (if any) have coefficients of 0 since they don't appear in the objective function.

The subsequent rows represent the equations. Each row corresponds to one equation, where the coefficients of the decision variables and the slack variables are taken from the original problem. The right-hand side (RHS) values are also copied accordingly.

The initial (artificial) basic solution is obtained by setting the decision variables and slack variables to 0, and the artificial variables to the right-hand side values. In this case, x₁ = 0, x₂ = 0, x₃ = 0, x₄ = 0, s₁ = 300, and s₂ = 300.

The initial entering basic variable is determined by selecting the most positive coefficient in the objective row, which is x₁ in this case. The leaving basic variable is determined by finding the smallest positive ratio of the RHS to the entering column's coefficient. Since the ratio for the second row (300/2) is the smallest, s₁ leaves the basis.

The resulting tableau serves as the starting point for applying the simplex method to solve the linear programming problem iteratively.

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Answer:

So I am assuming that you are wanting what a single t is. Well, here you go.

t=(s-5)/8

Step-by-step explanation:

8t=s-5

t=(s-5)/8

Hope this helps! ;)

Answer:

The midpoint is halfway between two end points.

The x value is halfway between the two x values and

the y value is also halfway between the two y values.

Add both the x and y coordinates and divide by 2.

Step-by-step explanation:

To find the x-coordinate of the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2.

To find the y-coordinate of the midpoint of a segment, add the y-coordinates of the endpoints and divide by 2.

Example:

Find the midpoint of the segment with endpoints (2, 8) and (-5, 12).

x-coordinate of the midpoint: (2 + (-5))/2 = -3/2

y-coordinate: (8 + 12)/2 = 30/2 = 15

Midpoint: (-3/2, 15)

Answer: To solve this system of equations, we need to find two points that satisfy both equations. We can then use these two points to graph the equations and find their point of intersection, which will be the solution to the system.

Let's start by finding some points that satisfy the second equation, y = |2x^2 - 5|:

When 2x^2 - 5 is positive, y = 2x^2 - 5

If we set x = 0, then y = |-5| = 5, so one point is (0, 5).

If we set x = 1, then y = |2 - 5| = 3, so another point is (1, 3).

When 2x^2 - 5 is negative, y = -(2x^2 - 5) = 5 - 2x^2

If we set x = 0, then y = 5, so another point is (0, 5).

If we set x = -1, then y = 5 - 2 = 3, so another point is (-1, 3).

Now we have four points that satisfy the second equation: (0, 5), (1, 3), (-1, 3), and (0, 5). We can use these points to graph the equation y = |2x^2 - 5|, as shown below:

   |    

5 -+    +------------*------+------------*------+--

  |                         |                       |

4 -+                                                +--

  |                                                   |

3 -+    +------------*------+------------*------+     |

  |                         |                       |

2 -+                                                +--

  |                                                   |

1 -+                                                   +--

  |                                                      |

  +------------------------------------------------------+

    -1    -0.5    0    0.5     1     1.5    2      2.5    3

Next, we need to find the points that satisfy the first equation, 3x + y = 0. One way to do this is to plug in values of x and solve for y:

If x = 0, then y = 0, so one point is (0, 0).

If x = 1, then y = -3, so another point is (1, -3).

Now we have two points that satisfy both equations: (0, 5) and (1, -3). We can use these points to graph the equations and find their point of intersection:

   |    

5 -+    +------------*------+------------*------+--

  |                         |                       |

4 -+                                                +--

  |                                                   |

3 -+    +------------*------+------------*------+     |

  |                         |                       |

2 -+                                                +--

  |                                                   |

1 -+                                                   +--

  |                                                      |

  +------------------------------------------------------+

    -1    -0.5    0    0.5     1     1.5    2      2.5    3

                (0, 5)

                /

             __/_____

            /   /    \

          /   /        \

(-1.5, 0) /   / (0,0)   \ (1.5, 0)

         \  /            \ /

          \/--------------*---------------> x

                       (-3/4, -9/4)

From the graph, we can see that the two equations intersect at approximately (-0.75, -2.25). Therefore, the solution to the

Step-by-step explanation:

The probability that he at least misses one is equal to 61/125.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given in the question

basketball player makes 80% of his free throw attempts i.e.

P(Success) = 4/5 or 0.8

P(Miss the attempt) = 1 - 0.8 = 0.2 or 1/5

Number of sample (n) = 3

We need to calculate probability that he at least misses one i.e.

P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0)

Here we will use binomial probability distribution which can be calculated as

P(X = n |N, p)= NCn x (p^n) x (1-p)^(N-n)

P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 3C0 x (1/5)^0 x (1 - 1/5)^(3-0)

=  1 - (1 x 1 x 64/125) = 1 - 64/125 = 61/125

Hence, the probability that he at least misses one is equal to 61/125.

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X= 8.93

Y=12.9

Or it could be

X as a fraction which is 134/15

Y as a fraction which is 64/5

Step-by-step explanation:

please mark brainiest

No, it is not a correct way to write the equation. To write the equation of a line it is necessary to pick 2 points that pass through the line, and as it's said on the statement none of the data points passed through it.

Answer:

Step-by-step explanation:

The given points (6,4), (12,6), and (16,-6) do not form the vertices of a right triangle.

To determine if the given points form a right triangle, we can calculate the distances between the points and check if the squares of the distances satisfy the Pythagorean theorem. Let's calculate the distances between the points:

Distance between (6,4) and (12,6):

d₁ = √((12-6)² + (6-4)²) = √(36 + 4) = √40 ≈ 6.32

Distance between (12,6) and (16,-6):

d₂ = √((16-12)² + (-6-6)²) = √(16 + 144) = √160 ≈ 12.65

Distance between (16,-6) and (6,4):

d₃ = √((6-16)² + (4-(-6))²) = √((-10)² + (4+6)²) = √(100 + 100) = √200 ≈ 14.14

According to the Pythagorean theorem, if the points form a right triangle, then one of the distances squared should be equal to the sum of the squares of the other two distances. However, in this case, d₁² + d₂² ≠ d₃², d₁² + d₃² ≠ d₂², and d₂² + d₃² ≠ d₁². Therefore, the given points (6,4), (12,6), and (16,-6) do not form the vertices of a right triangle.

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Answer:

"Let the smaller value a = 10 and the larger value b = 100. Than a^2 + 2ab + b^2 is 10^2 + 2 * 10 * 100 + 100^2. This can be simplified to 12100. So, 110^2 is equal to 12100."

Hope this helped!

The smaller value is 10

The larger value is 100

So the square of 110 should be 12100

Since here we assume the smaller value be 10

So, the larger value be 100

Now

\(a^2 + 2ab + b^2 = 10^2 + 2 \times 10 \times 100 + 100^2.\)

This can be simplified to 12100.

So, \(110^2\) is equal to 12100.

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The Cotton count of the plied yarn is 2093.37.

Given,

Core: 24/1Sheath: 2 × 20/1

Length of the plied yarn = 2 m

The cotton count is the measure of the fineness of yarn which is the number of hanks of yarn required to form 1 lb of yarn.

Length of the core yarn = 2 m

Length of each sheath yarn = 2.12 m

Total length of sheath yarns = 2 × 2.12 m = 4.24 m

Total length of yarn in 2 m of plied yarn = Length of core yarn + Total length of sheath yarns

= 2 m + 4.24 m = 6.24 m

The cotton count of the plied yarn is given by,

Cotton Count = (Length of yarn in hanks × Ply)/Weight of the yarn in lbs

One hank is equal to 840 yards.

Length of yarn in hanks = Length of yarn in meters/0.9144

Length of yarn in hanks = (6.24/0.9144) = 6.819 hanks

The weight of the yarn in lbs is equal to the weight in grams/453.59

Weight of 6.24 m of yarn in grams = Length of yarn in meters × Weight per unit length× Density

= 6.24 × 1 × (1/1.4) g = 4.457 g

Weight of the yarn in lbs = 4.457/453.59 lbs

Cotton Count = (Length of yarn in hanks × Ply)/Weight of the yarn in lbs= (6.819 × 3)/0.0098= 2093.37

Therefore, the Cotton count of the plied yarn is 2093.37.

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We have that the tangents which meet at the same point outside the circle have the same length:

Then, in this case:

Now that we have all the measures, we find the perimeter just by adding them:

6 + 6 + 9 + 9 + 12+ 12 = 54

Answer: the perimeter of the figure is 54