Answer the 2 questions in photo [ Brainliest + easy points ]

Answer:

140 doses

Step-by-step explanation:

1 gram = 1000 milligrams

1 gram = 10 doses

10*14 = 140

Answer:

x = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3x - y = 18

y = 27

Step 2: Solve for x

Answer:

15

Step-by-step explanation:

3x - y = 18

Insert the value of y in the equation.

3x - 27 = 18

Shift -27 to the other side of the equation.

3x = 18 + 27

3x = 45

x = 45 ÷ 3

x = 15

So please check if your options and the equation are correct.

To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.

First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:

Z = (X - μ) / (σ / √n)

Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)

Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.

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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.

The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.

To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.

Let's assume the sample standard deviation is $5,000.

First, we calculate the z-score:
    \(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5

Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.

Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.

In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.

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Answer:

737

Step-by-step explanation:

a) 20 acres of corn, b) 15 acres of cotton, and c) 5 acres of peanuts will be planted. The total profit will be $12,250.

To solve the linear programming problem, we use a simplex method. The optimal solution for this problem is: a) x1 = 20, x2 = 5, x3 = 15, b) x1 = 15, x2 = 15, x3 = 10, and c) x1 = 5, x2 = 20, x3 = 0. Thus, 20 acres of corn, 15 acres of cotton, and 5 acres of peanuts will be planted to maximize profit, which is $12,250.

To determine the binding constraints, we calculate the slack variables for each constraint. The slack variables for constraint 1, 2, 3, and 4 are 0, 0, 15, and 0, respectively. Therefore, the binding constraints are constraint 3 (insecticide tons) and constraint 1 (labor hours) with a slack of 15 hours.

The maximum profit is obtained by plugging in the optimal solution into the objective function. Profit = 550x1 + 350x2 + 450x3 = $12,250.

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The value of y for the given equation at x=81 is 87.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, given equation;

       y = x + 6

     Put x = 81, we get

       y = 81 + 6

      y = 87

Thus, the value of y for the given equation at x=81 is 87.

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Answer:

A

Step-by-step explanation:

since x=2 n y=1

this is proven correctly in A

g(2)=0.25(2)²

=0.25×4

=1

Answer:

A': (2, 8)

Step-by-step explanation:

I have attached the work to your problem below.

I hope this helps.

The voltage drop in the circuit running through resistor five is 45 volts

The voltage drop running through a resistor is the product of the current and the resistance of the resistor.

The voltage drop running through resistor five can therefore be found from the product of the current in the circuit and the magnitude of the resistor five as follows;

The combined resistor of the parallel resistors is found as follows;

Req = 1/((1/R₃) + (1/R₄))

Req = 1/((1/18) + (1/9)) = 6

The magnitude of the equivalent resistor of the circuit is therefore;

R = 3 ohms + 6 ohms + 6 ohms + 15 ohms = 30 ohms

The current in the circuit can be obtained from Ohms Law as follows;

The equation of Ohm's Law is; V = I·R

Where;

V = The voltage of the circuit = 90 volts

I = The current flowing in the circuit

R = The resistance of the circuit = 30 Ohms

Therefore; I = V/R

I = 90 V/(30 Ohms) = 3 Ampere

The voltage drop, V, running through resistor five which is 15 Ohms is therefore;

V = I × R

V = 3 Amp × 15 Ohms = 45 V

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The number of packs that should be bought should be considered as the 5.

Since

28 batteries for smoke alarm. Store sells them in 6 packs

So here we simply divide it

\(= 28 \div 6\)

= 5

hence, The number of packs that should be bought should be considered as the 5.

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Answer:

there are 8 nails in total, if that doesn't help please explain more

Step-by-step explanation:

Answer:

Incomplete question

...

Answer:

The answer is 5 because you will have to subtract 12 from 112 to get 100 and then divide 100 by 20 to get the answer 5.

The parametric equations for the line segment from (-3, 18, 31) to (11, -4, 48) can be expressed as follows:

x(t) = -3 + (11 - (-3))t

y(t) = 18 + (-4 - 18)t

z(t) = 31 + (48 - 31)t

In these equations, t represents the parameter that varies along the line segment. By plugging in different values of t, we can obtain corresponding points on the line segment.

The x(t) equation represents the x-coordinate of the line segment, where -3 is the initial x-coordinate and (11 - (-3)) represents the change in the x-coordinate over the segment. By multiplying this change by t, we can determine the specific x-coordinate at any point along the line segment.

Similarly, the y(t) equation represents the y-coordinate, where 18 is the initial y-coordinate and (-4 - 18) represents the change in the y-coordinate. Multiplying this change by t gives us the y-coordinate at any point.

Lastly, the z(t) equation represents the z-coordinate, where 31 is the initial z-coordinate and (48 - 31) represents the change in the z-coordinate. Multiplying this change by t allows us to determine the z-coordinate at any point along the line segment.

By using these parametric equations, we can generate points that lie on the line segment connecting the given two points and describe the entire line segment in three-dimensional space.

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Answer:

Non-proportional

y = \(\frac{2}{15}x+20\)

Step-by-step explanation:

If a line doesn't pass through the origin relationship represented by the line is non proportional.

In other words, any line having y-intercept is non-proportional.

From the graph attached,

Line has a y-intercept = 20

Therefore, relationship is non-proportional.

Slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\),

m = \(\frac{y_2-y_1}{x_2-x_1}\)

Since, the given line is passing through (0, 20) and (60, 28),

Slope of the line 'm' = \(\frac{28-20}{60-0}\)

m = \(\frac{8}{60}\)

   = \(\frac{2}{15}\)

y-intercept 'b' = 20

Slope-intercept form of the equation is,

y = mx + b

So the equation will be,

y = \(\frac{2}{15}x+20\)

Answer:

26 Cups can be put in the dispenser

Step-by-step explanation:

Given that:

height of cup = 10 cm

each cup adds = 0.8 cm to stack

Dispenser height = 30 cm

We have to find number of cups that can fit into dispenser:

When the first cup will be placed into the dispenser,

Available length will be = 30 - 10 = 20 cm

Now each next cup will add 0.8 cm so:

20 cm will have = 20/0.8 cups

20 cm will have = 25 cups

And the total (30 cm) will have = 26 cups

Thus, there are 208 positive integers less than 1000 that are divisible by exactly one of 7 and 11. The rules used to find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11 are:

a. The principle of inclusion-exclusion for sets: This rule is used to count the number of integers that are divisible by both 7 and 11, and subtract them from the total number of integers that are divisible by either 7 or 11. This gives us the number of integers that are divisible by exactly one of 7 and 11.

b. The division rule: This rule is used to find the number of integers that are divisible by a certain number within a given range. For example, we can use the division rule to find the number of integers less than 1000 that are divisible by 7.

c. The product rule: This rule is used to find the number of ways two or more events can occur together. In this case, we can use the product rule to find the number of integers that are divisible by both 7 and 11.

d. The sum rule: This rule is used to find the total number of ways two or more events can occur separately. In this case, we can use the sum rule to find the total number of integers that are divisible by either 7 or 11.

By using these rules, we can find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11.

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Answer:

There are 25 students in the class.

Step-by-step explanation:

Let the total number of students in the class= x

No. of students who passed the test = 18 = 72% of x = 72x/100

Therefore, 72x/100=18

=72x=18*100=1800

=x=1800/72= 25 students.

Hence, total number of students in the class= 25 students

Answer:

1850 * 0.7^3 = 634.55

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

Answer:

Step-by-step explanation:

4

As the temperature fell by 31 F, the temperature at 11 pm dropped to

-22 F.

Temperature tells us about the degree of hotness or coldness of a body. According to the thermodynamics, temperature is a measure of the average kinetic energy of the atoms or molecules in the system.

Given is at 3 pm the Temperature was 9F and by 11 pm it had dropped by 31 F.

Temperature at 3 pm = T[3] = 9 F

Since, the temperature fell by 31 F, the temperature at 11 pm would be =

Temperature at 3 pm T[3]  - 31 F = 9 - 31 = - 22 F.

Therefore, as the temperature fell by 31 F, the temperature at 11 pm dropped to -22 F.

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Answer:

\(10^{19}\)

\(10^{-6} * 10^{25} = 10^{19}\)

Step-by-step explanation:

10^46/ 10^-4 = \(10^{50}\)

\(\sqrt{10^{50} } = 10^{25}\)

The probability that a 2 or 3 is rolled at least once is 0.14.

when a six die is rolled once there is 11/12 probability of not rolling 2 or 3.

rolling a six sided die two times, p(2 or 3)' = 11/12

rolling a six sided die four times, p(2 or 3)'  = (11/12)² = 121/144

the probability that a 2 or 3 is rolled at least once is calculated as follows;

P = 1 - p(2 or 3)'

P = 1 - 121/144

P = 20/144

P = 0.14

Thus, the probability that a 2 or 3 is rolled at least once is 0.14.

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Answer:

0.80

Step-by-step explanation:

The volume of the figure is 1960π + 2800 cubic centimeters.

Given that the figure is a right prism-like figure, whose each base is a semicircle with a radius of 7 cm and the height is 20 cm. We need to find the volume of the figure in terms of pi. Volume of the figure is the product of the area of the base and the height of the figure. The radius of the semicircle = 7 cm, so the radius of the full circle = 2 x 7 = 14 cm Area of each base of the prism = area of the circle/2 + area of the rectangle Area of the circle of radius 14 cm = π(14)^2Area of the circle = 196π.

Thus, area of each semicircle (i.e., each base) = 1/2 of area of the circle of radius 14 cm + area of the rectangle= (1/2)(196π) + (7 x 20) cm² = 98π + 140 cm²The volume of the figure = area of the base x height= (98π + 140 cm²) x 20 cm = 1960π + 2800 cubic centimeters Therefore, the volume of the figure is 1960π + 2800 cubic centimeters.

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The average number of beads that the girls have is 63

Let's start by using algebra to represent the given information:

Let b be the number of beads that Sally has.

Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.

Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).

Putting these together, we can write the equation:

(3/4)b = b + 18

Solving for b, we get:

b = 72

So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.

The average number of beads that the girls have is (72 + 54)/2 = 63 beads

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Question 5

1) Given

2) Definition of congruent segments

3) Reflexive property of equality

4) Addition property of equality

5) Substitution

6) Commutative property of addition

7) Segment addition postulate

8) Substitution

9) Segments with equal measure are congruent

Question 6

1) Given

3) Segment addition postulate

4) Substitution

5) Subtraction property of equality

7) SSS

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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Answer:

32cm^3

Step-by-step explanation:

(4/3)*3*(2)^3=32