a=3,k=12,z=6,h=4 Evaluate the algebraic expression z+15=?

The number of hour (time) for which workout plan A would last is 0.75 hour. Also, the number of hour (time) for which workout plan B would last is 0.5 hour.

In order to solve this word problem, we would assign variables to the number of hours (time) each plan and then translate the word problem into algebraic equation as follows:

Translating the word problem into an algebraic equation, we have;

On Friday  ⇒     6x + 5y = 7    ....equation 1.

On Saturday  ⇒ 2x + 3y = 3     ....equation 2.

Next, we would solve the simultaneous equation by using elimination method:

3 × (2x + 3y = 3) = 6x + 9y = 9    ........equation 3.

Subtracting equation 1 from equation 3, we have:

6x + 9y = 9

6x + 5y = 7

4y = 2

y = 2/4

y = 1/2

y = 0.5 hour.

For the value of x, we have:

6x + 5y = 7

6x + 5(0.5) = 7

6x + 2.5 = 7

6x = 7 - 2.5

6x = 4.5

x = 4.5/6

x = 0.75 hour.

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Complete Question:

Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 6 clients who did Plan A and 5 clients who did Plan B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B Charmaine trained her Friday clients for a total of 7 hours and her Saturday clients for a total of 3 hours. How long does each of the workout plans last?

Answer:

The solution to the given system is:

x = 3

y = -3

Explanation:

Given the following system of equation:

The solution to these is the point where the lines intersect.

The graph is shown below:

The solution is x = 3, y = -3

Answer:

(-13, - 6)

Step-by-step explanation:

Midpoint =(x₁ + x₂)/2, (y₁ + y₂)/2

(-4,-6) = (9+x)/2, (1+y)/2

9+x= - 4

X= - 13

1+y= - 6

Y= - 7

Ans=

(-13, - 6)

The measurement of the largest square tiles she can use is 6 feet.

Finding all common factors between two numbers and choosing the biggest one yields the highest common factor (HCF). For instance, the numbers 8 and 12 share the elements 1, 2, and 4. Four is the greatest common factor.

Steps for calculating HCF:

Step 1: Write each integer as the sum of its prime factors in step one.

Step 2: List the shared factors between the two numbers.

Step 3: The HCF is the sum of all the common prime factors ( use the lower power of each common factor)

Given,

Measurement of the rectangular floor:

length = 150 feet

breadth = 132 feet

The measurement of the largest square can be calculated by finding the HCF of 132 and 150.

132 = 2*2*3*11

150 = 2*3*5*5

So, HCF (132, 150) = 2*3 = 6.

Hence, the measurement of the largest square tiles she can use is 6 feet.

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Answer:  Emma > Amelia > Brandon > Celesle > Damian

Step-by-step explanation:

We convert all the fractions to decimals (2 decimals).

Amelia      4.35 lbs

Brandon   [tex]4\frac{1}{3}= \frac{12}{3} +\frac{1}{3} =\frac{13}{3}[/tex] ≈ 4.33 lbs

Celesle     4.2 lbs

Damian    √15 ≈ 3.87 lbs

Emma       [tex]4\frac{2}{3} =\frac{12}{3} +\frac{2}{3} =\frac{14}{3}[/tex] ≈ 4.67 lbs

4.47 lbs > 4.35 lbs > 4.33 lbs > 4.2 lbs > 3.87 lbs

Emma  > Amelia > Brandon > Celesle > Damian

Only B is not true, because the vertical line test is to know if a graph is from a function.

EXPLANATION:

1.The first thing we must do is use a suitable method that allows us to find the value of y for the two equations of the line

2. The correct and most appropriate method is the matching method.

The exercise is as follows:

Answer: 4.5

Step-by-step explanation:

We need to find the amount of time until Calire paints a total of 9 more square feet.

Since the difference in their rates is 2 square feet per hour, it will take 9/2 = 4.5 more hours.

Answer:

The three numbers are:

4.62,

23.1, and

462.2

Step-by-step explanation:

Let X be the "first number."

B = What number is five times the first number:  5X

C = third number is 100 more than the first number:  100X

The sum of all three is 490:  X + B + C = 490

----

X + B + C = 490

X + 5X + 100X = 490

106X = 490

X = 4.622

Check:

X = 4.622

B = 5X = 23.11

C = 100X = 462.2

Check:

Sum (4.622 + 23.11 + 462.2) = 490

Answer: y = -1x + 3

Step-by-step explanation:

Point-Slope form: y - y1 = m(x-x1)

Replace the form with the values provided:

y - 15 = -1(x+12)

Once you get this, you need to get y by itself in order to get it in slope intercept form.

Distribute:

y -15 = -1x - 12

Add -15 to the right side:

y = -1x + 3

The sphere has a surface area of 482.8064 square meters

From the question, the given parameters are:

Diameter, D = 12.4 meters

π = 3.14

The surface area of the sphere is calculated using the following formula

S = 4π(D/2)²

Substitute the given parameters in the above formula

So, we have

S = 4 * 3.14 * (12.4/2)²

Evaluate the exponent

This is represented as

S = 4 * 3.14 * 38.44

Evaluate the product

This is represented as

S = 482.8064

Hence, the surface area of the sphere is 482.8064 square meters

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Answer:

Step-by-step explanation:

so the time needed is 3.1 years

The equation of a line in the slope intercept form is expressed as

y = mx + c

The given equation is

9x + 3y = 18

We would rearrange it so that it takes the form of the slope intercept equation shown above.

We would divide both sides of the equation by 3, we have

9x/3 + 3y/3 = 18/3

3x + y = 6

Subtracting 3x from both sides of the equation, we have

3x - 3x + y = 6 - 3x

y = 6 - 3x

The slope intercept form is

y = - 3x + 6

To plot the graph, we would substitute values of x into the equation to get corresponding y values. These x and y values would be plotted on the x and y coordinates of the graph. We have

For x = - 2, y = 6 - 3(- 2) = 6 + 6 = 12

For x = - 1, y = 6 - 3(-1) = 6 + 3 = 9

For x = 0, y = 6 - 3(0) = 6 - 0 = 6

For x = 1, y = 6 - 3(1) = 6 - 3 = 3

For x = 2, y = 6 - 3(2) = 6 -6 = 0

The graph is shown below

The function; g(x)=f(x+ 2)+2, it follows that the vertex of the function is;

(5, 3+2) +2 = (5, 5) + 2

Given,

A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 3)(5,3).

To find the what is the vertex of the function defined as g(x)=f(x+2)+2g(x)=f(x+2)+2

Now,

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (5, 3).

Hence, if the function; g(x)=f(x+ 2)+2, it follows that the vertex of the function is; (5, 3+2) +2 = (5, 5) + 2.

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The required values for a 95 percent confidence interval for population standard deviation are CI₈² = [1.1894, 5.221]

                                         CI₈ = [1.0906, 2.2849]

n = 16, Standard Deviation = 1.4764, Var = 2.1796

X²₀.₀₂₅,₁₅ = 6.26, X²₀.₉₇₅,₁₅ = 27.49

CI₈² = [(15ₓ2.1796/27.48),(15ₓ2.1796/6.26)] = [1.1894, 5.221]

CI₈ = [[tex]\sqrt{15*2.1796/27.48} , \sqrt{15*2.1796/6.26}[/tex]] = [1.0906, 2.2849]

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To solve graphically this set of equations, we should first draw both lines and see the value of x at which the lines crosses

Both graphs can be drawn as follows

We can see that both graphs intersect at a negative value of x. With a more accurate graph, we can determine that both lines intersect at x=-2.

So the solution for this system of equation is x=-2.

The location of √ 7 on a number line between 2 and 3.

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number and every real number to a number line point.

A number line is a long straight line with numbers marked at equal intervals. On a number line, we can argue that as we move to the right, the value of numbers increases. This signifies that the numbers on the right are more than those on the left.

A number line shows how numbers are related. It's a line with check marks next to each number. The numerals get smaller as you move left on the number line. The numbers grow larger as you move closer to the number line.

In this case, ✓7 is 2.65. This number can be found between 2 and 3. This should be the true statement since the options aren't given.

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Answer: The points (9,-) and (9,3) Both have the same (y) coordinate.

Step-by-step explanation:

[tex]-4x-1=-y\\y[/tex]

Flip the equation:

[tex]-y=-4x-1[/tex]

Divide both sides by -1:

[tex]\frac{-y}{-1} =\frac{-4x-1}{-1}[/tex]

[tex]y=4x+1[/tex]

__________________________________________________________

[tex]-4y+20+3x=0\\y[/tex]

Add -3x to both sides of the equation:

[tex]3x-4y+20+-3x=0+-3x\\-4y+20=-3x[/tex]

Add -20 to both sides of the equation:

[tex]-4y+20+-20=-3x+-20\\-4y=-3x-20[/tex]

Divide both sides by -4:

[tex]\frac{-4y}{-4} =\frac{-3x-20}{-4}[/tex]

[tex]y=\frac{3}{4} x+5[/tex]

We will have the following:

From the polynomial we will have that:

*It falls to the left and rises to the right.

This can be seeing as follows:

In Close Encounters of a Bear Kind, the statement that represents the author's primary attitude towards John's work is that C. John's work is dangerous.

According to the author, he stated that people don't usually realize that bears

can be very dangerous.

He further stated that they will reap people apart of they e the chance. The narrator gave an example about how he walked out at night and had to run back home for his dear life. This was why he stated that the job of John whom was a photographer was a dangerous one.

In conclusion, the correct option is C.

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There are 52 cards in a deck.

There are 12 face cards in the deck, that is 3 face cards per suit.

The probability of getting at least from two draws is given to be:

Therefore, the probability is calculated using the formula:

Using the combination formula, we have the solution to be:

The LAST OPTION is correct.

You have the following expression:

39 + (-20.4)

In order to simplify the previous expression, you first eliminate the parenthesis. To do that, you take into account that the sign before the parenthesis must multiply the sign inisde. In this case, you have a positive sign + before the parenthesis, and inside you have a minus -. When the parenthesis is eliminated, these signs are multiplied (here you use the multiplication rule for signs). Thus, you have that - x + = - (positive multiplied by negative is equal to negative). And the expression becomes:

39 + (-20.4)

= 39 - 20.4

= 18.6

Hence, the simplified expression is 18.6

Answer:

The answer is D

Step-by-step explanation:

Check to see when the graph is increasing and decreasing from left to right.

It is decreasing from x = -5 to x = -3 or (-5,-3) These look like a points but are not. They are intervals.

Then, it increases from x = -3 to x = 0 or (-3,0)

Then, it stays constant from x = 0 to x = 2 or (0,2)

Lastly, it decreases from x - 2 to x = 5 or (2,5)

To summarize, the graph is increasing from (-3,0). Decreasing on (-5,-3) and (2,5). and constant on (0,2)

The only option that fits these conditions is D.

Answer:

1.2

Step-by-step explanation: