John sent 45 text messages in 9 minuites what's the unit rate?

Answer:

Day 6

Step-by-step explanation:

Every 3 days 1 pound of hay is used every day 1 pound of grain is used. There are 10 pounds of grain and 8 pounds of hay. On the 6th day there are 6 pounds of hay left and 6 pounds of grain left.

The number of days after which the amount of hay and the grain will be the same is 12 days.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Hay = 8 pounds

1 pound = 3 days

From the graph,

Grain = 10 pounds

5 pounds left after 10 days

1 pound = 2 days

Now,

The number of days x after which the pounds left will be the same.

(-1/3)x + 8 = 10 - (1/2)x

(-1/3)x + (1/2)x = 10 - 8

(-2x + 3x)/6 = 2

x/6 = 2

x = 12

Thus,

After 12 days the hay and the grain left over will be the same.

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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hi <3

we need to form an equation

lets call our unknown number 'x'

so now we have:

2x + 5 = 15

subtract 5 from both sides

2x = 10

divide both sides by 2 to get your answer of:

x = 5

hope this helps :)

Answer:

abcdefghlijklmnopqrstuvwxyz

9514 1404 393

Answer:

  24 m

Step-by-step explanation:

The area formula tells us ...

  22 = xy . . . . . square meters

Adding twice this to the quadratic constraint gives ...

  (x^2 +y^2) +2(xy) = (100) +2(22)

  (x +y)^2 = 144

  x +y = √144 = 12

The perimeter is double this amount, so is ...

  P = 2(x +y) = 2(12) = 24 . . . . meters

The Distance between Amanda and the rope is approximately 2317.9 ft.

Let's denote the distance between Amanda and the rope by x. Then, the distance between Jeremiah and the rope is 4000 - x (since they are separated by a horizontal distance of 4000 ft). We can use trigonometry to find the value of x.

First, let's consider Amanda's angle of elevation. We can see that the triangle formed by Amanda, the rope, and the helicopter is a right triangle with angle 60°. Therefore, we have:

tan(60°) = x/h

where h is the height of the helicopter above the ground. Solving for h, we get:

h = x/tan(60°)

Next, let's consider Jeremiah's angle of elevation. We can see that the triangle formed by Jeremiah, the rope, and the helicopter is also a right triangle, but with angle 30°. Therefore, we have:

tan(30°) = (4000 - x)/h

Substituting the expression for h that we obtained earlier, we get:

tan(30°) = (4000 - x)/(x/tan(60°))

Simplifying this expression, we get:

tan(30°) = (4000tan(60°) - x)/x

Solving for x, we get:

x = 4000tan(60°)/(tan(60°) + √3)

Using a calculator, we can evaluate this expression to get:

x ≈ 2317.9 ft

Therefore, the distance between Amanda and the rope is approximately 2317.9 ft.

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Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled....(B)

Step-by-step explanation:

hope this helps

Gunther  could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.

Solubility of a substance refers to the amount of the substance that dissolves in a given amount of water. The most important factor that affects solubility is the temperature of the system. When the temperature is increased, more solute can be dissolved in the solvent.

Since Gunther needs to add 40 g of a solute to 100 g of water but only 34 grams were added before the solute settled out at room temperature. He could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.

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Answer:

725.623

Step-by-step explanation:

547.40:?

43 :57

?=547.40×57÷43

Answer:

(a) The probability of the company becoming a successfully approved supplier to Ford Motor Company is 0.2048.

(b) The probability of the company becoming a successfully approved supplier to General Motors Company is 0.2448.

Step-by-step explanation:

A local startup company working on a smart dashboard camera system is bidding to be a supplier for both Ford Motor company and General Motors.

Both the companies have a two-tier system where suppliers are approved in two separate phases.

It is provided that a company can move on to Phase II if they have passed the Phase I phase.

(a)

The chances of landing with a supplier contract with Ford Motor Company is 32% in Phase I while it is 64% in Phase II.

That is:

P (Phase I) = 0.32

P (Phase II | Phase I) = 0.64

Consider the tree diagram below.

Compute the probability of the company becoming a successfully approved supplier to Ford Motor Company as follows:

P (Supplier to Ford Motor Company) = P (Phase II | Phase I) × P (Phase I)

                                                             \(=0.64\times 0.32\\=0.2048\)

Thus, the probability of the company becoming a successfully approved supplier to Ford Motor Company is 0.2048.

(b)

The chances of landing with a supplier contract with General Motors is 68% for Phase I and 36% for Phase II.

That is:

P (Phase I) = 0.68

P (Phase II | Phase I) = 0.36

Consider the tree diagram below.

Compute the probability of the company becoming a successfully approved supplier to General Motors as follows:

P (Supplier to General Motors Company) = P (Phase II | Phase I) × P (Phase I)

                                                                    \(=0.36\times 0.68\\=0.2448\)

Thus, the probability of the company becoming a successfully approved supplier to General Motors Company is 0.2448.

The ages of Sari and her mother is 15 and 36 respectively

It is important to note that linear equations are defined as equations having the greatest degree of x as 1.

From the information given, we have that;

Let Sari's age be x

Let her mother's age be y

Then, we have that;

2x + 1/2y = 48

3x = y + 9

Make 'y' the subject from equation 2, we have;

y = 3x - 9

Substitute the value in equation 1

2x + 3x - 9/2 = 48

Find the LCM

4x + 3x - 9/2 = 48

cross multiply

7x - 9 = 96

collect like terms

7x = 105

Sari's age, x = 15 years

Her mother's age = 45 - 9 = 36 years

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The age of Sari and her mother is 15 and 36 years respectively.

The sum of twice Sari's age and half her mother's age is 48. Triple sari's age is 9 years more than her mother's age.

Therefore, the age of Sari and her mother are as follows:

let

x = Sari's age

y = mother's age

Hence,

2x + 1 / 2y = 48

3x = y + 9

Therefore,

4x + y = 96

3x - y = 9

add the equations

7x = 105

x = 105 / 7

x = 15

Therefore, let's find y

y = 96 - 4(15)

y = 96 - 60

y = 36

Hence,

Sari's age = 15 years

Mother's age = 36 years

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Answer: 3

Step-by-step explanation:

2/3 4/6

Answer:

What are the measurements to begin with?

Step-by-step explanation:

Answer:

21 and 28

Step-by-step explanation:

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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The solution to the inequality \(w - 0.9 >-2.1\) is \(w >-1.2\)

Inequalities are used to represent expressions of unequal values

The inequality is given as:

\(w - 0.9 >-2.1\)

Add 0.9 to both sides of the inequality

\(w - 0.9+ 0.9 >-2.1 + 0.9\)

Simplify the inequality

\(w >-1.2\)

The above inequality means that:

See attachment for the inequality that represents \(w >-1.2\)

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The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

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Answer:

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

Let's simplify left sides of each statement and compare with right sides:

The probability that the sample mean would be less than 40.6 dollars will be 0.534.

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is given as

z = (x – μ) / σ

The mean cost of a five pound bag of shrimp is 40 dollars, with a standard deviation of 7 dollars.

If a sample of 51 bags of shrimp is randomly selected.

Then the probability that the sample mean would be less than 40.6 dollars will be

z = (40.6 – 40) / 7

z = 0.0857

Then the p-value will be

P(x < 40.6) = P(z < 0.0857)

P(x < 40.6) = 0.534

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The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

The result of 1/11 in the base 10 system is given as is 0.09.

To visualize the long division of 1 ÷ 11 in a base ten system:

Set up the long division: 11 outside and 1.00 inside the division bracket.

Place the decimal point in the quotient above the dividend's decimal point.

Bring down the first digit (0) and divide 11 into 10; it goes 0 times.

Subtract the product (0) from 10, leaving 10.

Bring down the next digit (0) and divide 11 into 100; it goes 9 times.

Subtract 99 from 100, leaving a remainder of 1.

The result is 0.09.

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Answer: Multiplying a large number can be easier if you break it up into its place values and perform the multiplication separately for each place value.

Step-by-step explanation:

Take the following multiplication issue, for instance:

43 x 32

The issue arises if place value is used to divide the numbers:

(4 x 3) + (3 x 2) + (3 x 3) (3 x 3)

This can be stated simply as:

12 + 6 + 9 = 27

Thus, the final response is 27.

Breaking up the multiplication problem by place value can also help you avoid making mistakes because you can check each place value separately to make sure that the calculations are correct before adding them together to get the final answer.

The range of the function f(x)= IxI+5 is x+5 for x>=0 and -x+5 for x<0.

Given that the function is f(x)=IxI+5.

We are required to find the range of the function.

Function is relationship between two or more variables expressed in equal to form. In a function each value of x must have a corresponding value of y. The value of x is known as domain of the function and the value of y is known as codomain of the function. Range of a function is a limit of values in which the values of function lies.

Function is f(x)= IxI+5

We know that IxI=x for x>=0 and -x<0.

We have to just put the value of IxI in f(x) to get the range of function.

f(x)=x+5 for x>=0 and -x+5 for x<0.

Hence the range of the function f(x)= IxI+5 is x+5 for x>=0 and -x+5 for x<0.

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A number of 80 student would be expected to attend after school programs.

Respondents refers to an individuals who complete a survey or interview for the researcher, or who provide data to be analyzed for the research study.

Out of 140 respondents, 28 attend after school programs. This give us a fraction of 28/140 = 0.2. So, 20% of students attend after school programs.

Now, out of 400 seventh-graders, the number of student expected to attend after school programs is:

= 20% * 400

= 80. Therefore, 80 student would be expected to attend after school programs.

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Answer:

B is the answer

Step-by-step explanation:

A = πr²

24π = πr²

24 = r²

24 = r²

\(\sqrt{24}\) = r

r = \(\sqrt{4}\)\(\sqrt{6}\) = 2\(\sqrt{6}\)

C = 2πr

C = 2π(2\(\sqrt{6}\))

C = 4\(\sqrt{6}\)π

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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