Jessica is asked to solve this problem on her math quiz −29+14=? She remembered that she needed to watch for the signs on the numbers, but she is still confused on how the rules work for addition of integers. In complete sentences, explain to Jessica what rule she would use to solve this problem and how she can tell what the sign on her final answer should be in order to get the question correct on her quiz.

Answers

Answer 1

Answer:

Step-by-step explanation:

-29 +14 =-15

The biggest number "29" has minus "-" in front, so in the final the sigh will be minus. The final sigh on the answer dibents on the biggest number.

If you have this exercise :

-14 +29 =15

The biggest number has "+" in front of it

Answer 2

Answer:

Final answer:

To solve the problem −29+14, you subtract the smaller number from the larger number and give the answer the sign of the larger number, resulting in −15. The rules of addition for integers require attention to the sign and magnitude of the numbers involved.

Explanation:

Jessica, to solve the problem −29+14, we need to apply the rule for addition when dealing with integers that have different signs. Since −29 is negative and 14 is positive, you subtract the smaller number from the larger number and the answer will have the sign of the larger number. In this case, 29 is larger than 14, so we do 29 − 14, which equals 15. Because the larger number (29) was negative, the result will also be negative, so the final answer is −15.

Remember the rules of addition for different signs: when adding two numbers with opposite signs, the answer will have the sign of the larger absolute value. We subtract the smaller absolute value from the larger one to determine the numerical part of the answer. If you're ever unsure about the sign, just remember that the answer will take the sign of the number with the larger absolute value. This is also true when performing subtraction, except you change the sign of the number being subtracted first, then proceed with addition based on the rules for integers.

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Hello, please I bed urgent help with this math problem please

14.4% of what number is 10.4

Answers

First, convert "of" to x and put this info into an equation:

Let n represent the unknown number.

14.4 % x n= 10.4
n = 10.4 / 14.4%
n = 72.22222
n = ~72

Hope this helps!

A Jewelry store makes necklaces and bracelets from gold and platinum. vThe store has 18 ounces of gold and 20 ounces of platinum. vEach necklace requires 3 ounces of gold and 2 ounces of platinum, whereas each bracelet requires 2 ounces of gold and 4 ounces of platinum. vThe demand for bracelets is no more than four. vA necklace earns $300 in profit and a bracelet $400. vThe store wants to determine the number of necklaces and bracelets to produce in order to maximize profit.a. Formulate a linear programming model for this problem.b. Solve this model using graphical analysis.

Answers

Answer:

maximum profit is$2400 when 4 necklace and 3 brackets are made.

Step-by-step explanation:

Total gold = 18 ounces

Total platinum = 20 ounces.

let X₁ represents the necklace and X₂ represents the bracelets.

A. Linear Programming Model

maximize:

$300x_(1) + 400x_(2)$

with constraints:

for gold:

$3x_(1) + 2x_(2) \leq 18$ ---(1)

for platinum:

$2x_(1) + 4x_(2) \leq 20$ ---(2)

The demand for bracelets is no more than four i.e.

$x_(2)\leq 4$ ---(3)

$x_(1),x_(2)\geq 0$

B. Graphical Analysis

Final answer:

To maximize profit, formulate a linear programming model with constraints for the number of necklaces and bracelets to produce. Solve the model using graphical analysis to find the optimal solution.

Explanation:

To formulate a linear programming model for this problem, let x be the number of necklaces to produce and y be the number of bracelets to produce. The objective is to maximize profit, which can be expressed as: Profit = 300x + 400y. The constraints are: 3x + 2y ≤ 18 (gold constraint), 2x + 4y ≤ 20 (platinum constraint), 0 ≤ x ≤ infinity (non-negativity constraint), and y ≤ 4 (demand constraint).

To solve this model using graphical analysis, graph the feasible region determined by the constraints. The feasible region is the region in which all constraints are satisfied. The optimal solution will be at one of the corner points of the feasible region. Calculate the objective function at each corner point and select the one that maximizes profit.

Learn more about Linear Programming here:

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If f(x) = 2 - x and g(x) = x^2+ x, find each value.. g(3)

. F(m)

. F (1)+g(2)

. F(11)

Answers

Answer:

Step-by-step explanation:

3x + 5y = 7

Since that is our original form, let's convert it so that we can find the slope:

5y = -3x + 7

y = -3/5 x + y

To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:

m = 5/3

From here, we use the point-slope equation and then convert that into slope-intercept form:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 0)

y - 6 = 5/3x

Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 25% bring a laptop with them, 23% both check work email and use a cell phone to stay connected, and 50% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 84 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop. (a) What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected? (b) What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected? (c) If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected? (Round your answer to four decimal places.)

Answers

The probability that a randomly selected traveller who checks work email also uses a cell phone to stay connected is 57.5%.

The probability that someone who brings a laptop on vacation also uses a cell phone to stay connected is 70%.

If the randomly selected traveller checked their work email and brought a laptop, the probability that he/she uses a cell phone to stay connected is 58.8%.

We have,

Let:

C = Check work email

P = Use a cell phone to stay connected

L = Bring a laptop

Given information:

P(C) = 0.40 (Probability of checking work email)

P(P) = 0.30 (Probability of using a cell phone to stay connected)

P(L) = 0.25 (Probability of bringing a laptop)

P(C ∩ P) = 0.23 (Probability of both checking work email and using a cell phone to stay connected)

P(Neither) = 0.50 (Probability of neither checking work email, using a cell phone to stay connected, nor bringing a laptop)

Additional information:

P(C | L) = 0.84 (Probability of checking work email given that a laptop is brought)

P(P | L) = 0.70 (Probability of using a cell phone to stay connected given that a laptop is brought)

a. For the value of P(P | C), use the conditional probability formula:

P(P | C) = P(C ∩ P) / P(C)

P(P | C) = 0.23 / 0.40

P(P | C) = 0.575

b. For the value of P(P | L), use the conditional probability formula:

P(P | L) = P(P ∩ L) / P(L)

P (P | L) = 0.70

c. For the value of P(P | C ∩ L), use the conditional probability formula:

P(P | C ∩ L) = P(C ∩ P ∩ L) / P(C ∩ L)

Since we don't have the direct probability of P(C ∩ P ∩ L), we can use the information provided:

P(C | L) = 0.84

P(P | C ∩ L) = P(C | L) × P(P | L)

P(P | C ∩ L) = 0.84 × 0.70

P(P | C ∩ L) = 0.588

Thus, The probability that a randomly selected traveller who checks work email also uses a cell phone to stay connected is 57.5%.

The probability that someone who brings a laptop on vacation also uses a cell phone to stay connected is 70%.

If the randomly selected traveller checked their work email and brought a laptop, the probability that he/she uses a cell phone to stay connected is 58.8%.

Learn more about probability here:

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Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows.