Tamala’s school day is 7 1/2 hours. She has six classes that are 7/6 of an hour long each. How many hours is Tamala not in class while she is at school?

9514 1404 393

Answer:

  C

Step-by-step explanation:

Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).

That means we're looking for a pair of inequalities with the symbols ...

  y ≥ 2/5x ...

  y ≤ 7/3x ...

This combination is found in choice C.

Answer:

y=3

Step-by-step explanation:

you just need to do 2 divided by 6

Answer:   y = -3/2x + 3

Step-by-step explanation:

3x + 2y = 6        First Isolate y by subtracting 3x from both sides  

-3x          -3x

   2y = -3x + 6       Now divide both sides by 2

  y = -3/2x + 3

Answer:

Step-by-step explanation:

Answer:

  0.63 or 5.37 seconds

Step-by-step explanation:

You want to know how long a ball was in the air when its height is 54 feet, and its height is described by -16s^2 +96s, for time (s) in seconds.

A graph shows the value of the height function is 54 when s = 0.63 or 5.37.

These solutions mean the ball was in the air 0.63 seconds when it passed 54 feet going up, and it was in the air 5.37 seconds when it was 54 feet in the air on the way down.

Find parallelogram ABCD attached

Answer:

x = 3

Step-by-step explanation:

In parallelograms, the diagonals typically divide each other into 2 equal parts.

This means that from the attached parallelogram, we can say that;

4x - 6 = 2x or 6x - 15 = x

Thus;

4x - 2x = 6

2x = 6

x = 6/2

x = 3

Let's confirm with the second equation;

6x - x = 15

5x = 15

x = 15/5

x = 3

Answer:

the x intercept is (3/5,0)

and the y intercept is (0,-3)

Step-by-step explanation:

The expression that represents the area of the cement walkway is   11 ( 12 + 32x)

The formula for area of a rectangular prism is given as;

Area = 2 ( wl + hw + h )

Where;

Now, let's substitute into the formula for area;

Area = 2 {3(22) + 5x(3) + 22(5x) }

expand the bracket

Area = 2 { 66 + 15x + 110x }

collect like terms

Area = 2{66 + 176x}

Area = 132 + 352x

Area = 11 ( 12 + 32x)

Thus, the expression that represents the area of the cement walkway is   11 ( 12 + 32x)

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Answer:

The answer is 2/8.

Step-by-step explanation:

First, we must add within the parentheses,

Therefore, our answer is 2/8.

The length of a person’s forearm if the length of their foot is 8 inches.

A linear equation is an equation that describes a straight line on a graph. It is an algebraic equation that involves two variables, usually x and y, and can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope of a line is the measure of the steepness of the line, or how much it rises or falls for a given change in x. It can be calculated as the change in y divided by the change in x between any two points on the line.

The y-intercept is the point where the line crosses the y-axis, or the value of y when x is zero.

Let

x ----> Length of Foot in inches

y ----> Length of Forearm in inches

we have

y=1.11x-0.83

For x=8 in

To find y, change the value of x in the linear equation.

y=1.11(8)-0.83=8.05in

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The complete question is :

The data on the graph show the foot lengths and forearm lengths for a group of people. The line of best fit for the data is shown. Use the equation of the line of best fit to predict the length of a person’s forearm if the length of their foot is 8 inches.

A graph is labeled as Foot Length versus Forearm Length. The horizontal axis is labeled as Length of Foot left parenthesis inches right parenthesis and the vertical axis is labeled as Length of Forearm left parenthesis inches right parenthesis. The values on the horizontal axis range from 0 to 15 in increments of 1 and the values on the vertical axis range from 0 to 15 in increments of 1. Several points are scattered throughout the graph and a line is shown which passes between these points and the equation of the line is labeled as y equals 1 decimal point 1 1 x minus 0 decimal point 8 3.

A.8.88 inches

B.6.94 inches

C.9.16 inches

D.8.05 inches

Answer:

20.3 < 35 - 9.8t < 30.1

Step-by-step explanation:

Given the Velocity model:

V = 35 – 9.8t ; t = time in seconds

V when t is between 0.5 and 1.5

V when t = 0.5

V = 35 - 9.8(0.5)

V = 35 - 4.9 = 30.1

Vt=0.5 = 30.1

V when t = 1.5 ;

V = 35 - 9.8(1.5)

V = 35 - 14.7 = 20.3

Vt= 1.5 = 20.3

Hence V, between, t = 0.5 and t = 1.5

Vt=1.5 < V < Vt=1.5

20.3 < V < 30.1

V = 35 - 9.8t

20.3 < 35 - 9.8t < 30.1

Answer:

Stephen earns $96,000.

Step-by-step explanation:

We have to figure out how to get 80% of 120,000 to find Stephen's salary. So, we convert 80% to a decimal. 80% as a decimal is 0.80. So, we multiply 120,000 by 0.80 to get 96,000 :)

Answer:

\(\frac{72}{74}\) or \(\frac{36}{37}\)

Hope that this helps!

Answer:

12/35

Step-by-step explanation:

if you cross multiply the two numbers you will get your answer

Answer:

.583

Step-by-step explanation:

Answer:

Answer C

Step-by-step explanation:

Notice that 5 can be written as 1 + 1 + 1 + 1 + 1

and - 3x  can be written as -x -x -x

and on the other side of the equal sign, you have 2x which is the same as: x + x

So answer C is the correct answer.

Answer:

The unit price is $.25 per ounce.

Step-by-step explanation:

To find the unit price per ounce, take the total cost and divide by the number of ounces

12 dollars/ 48 ounces

.25

The unit price is $.25 per ounce.

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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Answer:

4 a

Step-by-step explanation:

trust

U7 L1 Exploring Periodic Data: Multiple Choice:

1. Use the given graph. Determine the period of the function. (1 point)

2. Determine whether the function is periodic. If it is, find the period. (1 point)

3. Determine whether the function is periodic. If it is, find the period. (1 point)

4. Find the period and the amplitude of the periodic function. (1 point)

5. The screen below shows the graph of a sound recorded on an oscilloscope. What are the period and the amplitude? (Each unit on the t-axis equals 0.01 seconds.) (1 point)

I just took the test, 5/5 (100%)

Answer:

x ≤ 5

Step-by-step explanation:

20 ≥ 5 + 3x

20 - 5 ≥ 3x

3x ≤ 15

x ≤ 5

The correct simplification of x^12z^11/x^2z^4 is \(x^{10}z^{7\)

The expression is given as:

x^12z^11/x^2z^4

Rewrite properly as

\(\frac{x^{12}z^{11}}{x^2z^4}\)

Apply the quotient law of indices

\(x^{12-2}z^{11-4}\)

Evaluate the difference

\(x^{10}z^{7\)

Hence, the correct simplification of x^12z^11/x^2z^4 is \(x^{10}z^{7\)

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Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

To find the formula for (g∘f)(x), we need to first evaluate g(f(x)):

g(f(x)) = g(x+3) = (3(x+3)+5)/3 = (3x+14)/3

So, (g∘f)(x) = (3x+14)/3

To find the domain for (g∘f)(x), we need to consider any restrictions on x that would make the function undefined. The only possible restriction is if the denominator of (3x+14)/3 is zero, which occurs when 3x+14=0. Solving for x, we get x=-14/3. Therefore, the domain of (g∘f)(x) is all real numbers except -14/3, or (-∞, -14/3) U (-14/3, ∞).

The solution of linear programming problem is the maximum value is 2, x_1 = 1, x _2 =0.

What is linear programming problem?

The goal of the Linear Programming Problems (LPP) is to determine the best value for a given linear function. The ideal value may be either the highest or lowest value. The specified linear function is regarded as an objective function in this situation. The objective function may have a number of variables that must meet a set of linear inequalities known as linear constraints. These variables may also be subject to conditions. The following scenarios, such as manufacturing difficulties, diet problems, transportation challenges, allocation problems, and so on, can be solved optimally using the linear programming problems.

After first iteration,

Negative minimum Z_j-C_j is -2 and its column index is 1. So, the entering variable is x_1.

Minimum ratio is 1 and its row index is 2. So, the leaving basis variable is S_2.

∴ The pivot element is 2.

Entering =x_1, Departing =S_2, Key Element =2

After second iteration:

Since all Z_j-C_j≥0

Hence, optimal solution is arrived with value of variables as :

x_1=1,x_2=0

Max Z=2

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Saha current position is 696.58m from his starting position.

Data;

To solve this question, we can use sine or cosine rule.

But since his current position is North of his starting point, we can use sine rule here

\(\frac{a}{sinA} = \frac{b}{sin B}\\\)

where b represents the distance from his current position to his starting position.

\(\frac{a}{sinA} = \frac{b}{sin B} \\\frac{600}{sin53} = \frac{b}{sin 68} \\\)

Let's cross multiply and solve b

\(b= \frac{600sin68}{sin53} \\b = 696.58m\)

Saha current position is 696.58m from his starting position.

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The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.

An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.

Here,

This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.

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Consider that function increases when the value of the dependent variable increases as values of the independent variable increases. Furthermore, function decreases when the values of the dependent value decreases as the values of the independent variable increases.

Then, by considering the previous description you have:

Interval where the graph increases:

(1,∞)

Interval where the graph decreases:

(-∞,1)

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.

The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.

Therefore;

The ratio of the number of people per unit area = 13/(5 × 5) = 13/25

The area A occupied by the crowd = 5 feet × 2.7 mile × 2

2.7 miles = 14,256 feet

∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²

We then have:

\(\frac{number\ of\ people}{1,42,560} = \frac{13}{25}\)

∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people

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The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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Sum of all three angles inside a triangle = 180°

Total number of parts = 3 + 10 + 7 = 20

Each part = 180 ÷ 20 = 9

Let us name the three angles of this triangle as ∠1 , ∠2 and ∠3 respectively .

Number of parts for ∠1 = 3 parts

∠1 = 3 × 9 = 27°

Number of parts for ∠2 = 10 parts

∠2 = 10 × 9 = 90°

Number of parts for ∠3 = 7 parts

∠3 = 7 × 9 = 63°

The three angles of this triangle measure 27° , 90° and 63° respectively

Measure of the smallest angle = 27°

Therefore , the measure of the smallest angle = 27° .