Solve for x. Show your work with proper statements and notation.

Given parameters:

 Rate;

          2 cans of paint for 7 dollars

Number of cans of paints  = 9 cans

Unknown:

Cost of 9 cans of paints = ?

This is rate - work problem. So therefore, we can simply solve them;

   Since;

              2 cans of paint  costs 7 dollars

              9 cans of paint will now cost [tex]\frac{9 cans x 7 dollars}{2 cans}[/tex]   = $31.5

The cost of 9 cans of paint is  $31.5

We are given the expression 6x - 5 + √x - 1 and need to evaluate it for two different values of x: (a) x = 9 and (b) x = 1.

For x = 9:

We substitute x = 9 into the expression: 6(9) - 5 + √(9) - 1.

Simplifying, we have: 54 - 5 + 3 - 1.

Combining like terms, we get: 51 + 2.

The expression evaluates to 53 when x = 9.

For x = 1:

We substitute x = 1 into the expression: 6(1) - 5 + √(1) - 1.

Simplifying, we have: 6 - 5 + 1 - 1.

Combining like terms, we get: 1 + 0.

The expression evaluates to 1 when x = 1.

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The expanded and simplified expression using the distributive property to multiply the terms is -27 - 8√2 - 23√6 - 6√3.

To expand and simplify the given expression, we can use the distributive property and perform the multiplication of each term.

(-5√2+3√3)(-6√2-2-√3)

= -5√2*(-6√2) -5√2*(-2) -5√2*(-√3) + 3√3*(-6√2) + 3√3*(-2) + 3√3*(-√3)

We can simplify each term separately.

-5√2*(-6√2) = 30√2√2 = 30√(22) = 30√4 = 30*2 = 60

-5√2*(-2) = 10√2

-5√2*(-√3) = 5√2√3 = 5√(23) = 5√6

3√3*(-6√2) = -18√3√2 = -18√(32) = -18√6

3√3*(-2) = -6√3

3√3*(-√3) = -3√3√3 = -3√(33) = -3√9 = -3*3 = -9

Putting all the simplified terms together, we get:

60 + 10√2 - 5√6 - 18√6 - 6√3 - 9

Finally, combining like terms, we have:

-27 - 8√2 - 23√6 - 6√3

Therefore, the expanded and simplified expression is -27 - 8√2 - 23√6 - 6√3.

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Answer:

20 cm

Step-by-step explanation:

We can use ratios to solve

We know x = 7 since they are of equal length

x          x+7

----- = -------

10         y

7          7+7

----- = -------

10         y

Using cross products

7y = 14*10

7y = 140

Divide by 7

7y/7 = 140/7

y = 20

The terminal point of the angle is located 3.5 cm to the right and 3.5 cm above the circle's center.

To determine the position of the terminal point of the angle, we need to consider its measurement in radians, the direction of the initial ray, and the properties of a circle with a radius of 3.5 cm.

Given that the angle measures 2.3 radians, we know that it spans 2.3 times the radius of the circle. Since the radius is 3.5 cm, the arc length of the angle is 2.3 * 3.5 = 8.05 cm.

Now, let's analyze the direction of the initial ray. The 3-o'clock direction is to the right on a standard clock face. In a circle, the positive x-axis is typically considered to be the 3-o'clock direction. Therefore, the initial ray of the angle is pointing directly to the right.

Since the terminal point of the angle lies on the circumference of the circle, we can determine its position relative to the circle's center using polar coordinates. The terminal point is located at a radial distance from the center, which is equal to the radius of the circle.

Hence, the terminal point is situated 3.5 cm to the right of the circle's center, as it lies on the positive x-axis.

Additionally, the terminal point is located on the circumference of the circle, so it is also 3.5 cm above the circle's center. Since the circle is centered at the angle's vertex, the vertical displacement of the terminal point is equal to the radius of the circle.

Therefore, the terminal point of the angle is located 3.5 cm to the right and 3.5 cm above the circle's center.

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Answer: A

Step-by-step explanation:

Answer:

2

-4

0

Step-by-step explanation:

i just did it on edge

The value of inverse functions  [tex]f^{-1}(4), f^{-1}(-5)[/tex], [tex]f^{-1}(0)[/tex] is 2, -4 and 0.

From the given graph, we need to determine the [tex]f^{-1}(4), f^{-1}(-5)[/tex], [tex]f^{-1}(0)[/tex] values.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input [tex]x[/tex]. Mapping or transformation is used to denote a function in math.

From the graph the values of the given inverse function are as follows:

Now, [tex]f^{-1}(4)=2[/tex]

[tex]f^{-1}(-5)=-4[/tex]

[tex]f^{-1}(0)=0[/tex]

Therefore, the value of inverse functions  [tex]f^{-1}(4), f^{-1}(-5)[/tex] [tex]f^{-1}(0)[/tex] is 2, -4 and 0.

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Answer:

64

Step-by-step explanation:

Given

4y + 8z ← substitute y = 8 and z = 4 into the expression

= 4(8) + 8(4)

= 32 + 32

= 64

Answer:

64

Step-by-step explanation:

y=8 and z=4

4y+8z Substitute the values for the variables

4(8)+8(4) simplify:

32+32 add:

 =64

Hope this helps :)

Answer:

Option A

Step-by-step explanation:

7x - y = 7

x + 2y = 6

Subtract 2y from both sides;

x = -2y + 6

Lets substitute x;

7(-2y + 6) - y = 7

Distribute;

-14y + 42 - y = 7

-15y + 42 = 7

Subtract 42 from both sides;

-15y  = -35

Divide both sides by -15

y = [tex]\frac{35}{15}=\frac{7}{3} = 2\frac{1}{3}[/tex]

Lets substitute y;

x + 2([tex]\frac{7}{3}[/tex]) = 6

x + [tex]\frac{14}{3}[/tex] = 6

Subtract [tex]\frac{14}{3}[/tex] from both sides;

x = [tex]-\frac{14}{3} +6=-\frac{14}{3}+\frac{6}{1}=\frac{-14+18}{3} =\frac{4}{3}=1\frac{1}{3}[/tex]

Answer:

(-1, -3) or (3, 13)

Step-by-step explanation:

Since both equations equal “y”, we can set them equal to each other

4x + 1 = x^2 + 2x - 2

0 = x^2 - 2x - 3

0 = (x + 1)(x - 3)

x = -1 or 3
Now, to find “y”, plug in both values of “x” into any one of the given equations:

y = 4(-1) + 1 = -4 + 1 = -3

y = 4(3) + 1 = 12 + 1 = 13

Thus the answers are x=-1 and y=-3, or x=3 and y=13

Answer: c = 1

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

Answer:

he gained over all

Step-by-step explanation:

if he earns $8 than loses $4 we would use this equation. 8-4 to find out that he still has $4.

Answer:

55

Step-by-step explanation:

165 / 3 = 55 therefore, one inch is equal to 55 miles. Hope this helps

Quantitative literacy can be used in a clinical setting to assess the patient's health status, determine the patient's progress, and make informed decisions.

Medical professionals must be competent in quantitative literacy to ensure that patients receive the best possible care. To ensure that patients receive the best possible care, quantitative literacy must be used. Quantitative literacy is critical in a clinical setting because of its ability to provide accurate information, facilitate decision-making, and improve patient outcomes.Quantitative literacy may be used in a clinical setting in a variety of ways. Some examples of how quantitative literacy may be used in a clinical setting include:Calculating dosages: When calculating dosages, quantitative literacy is critical to ensuring that the correct amount of medication is given to the patient. This is particularly important for medications that have a narrow therapeutic window, such as insulin or digoxin.Converting temperatures: Quantitative literacy is essential when converting temperatures from Celsius to Fahrenheit or vice versa. This is important when monitoring patient's body temperature for signs of fever or hypothermia.Calculating infusion rates: When administering intravenous fluids, quantitative literacy is essential to ensure that the correct infusion rate is used. This is important because fluids that are infused too quickly can cause fluid overload, while fluids that are infused too slowly may not provide adequate hydration

.Math Problem:

Convert 50°C to Fahrenheit

To convert Celsius to Fahrenheit, you use the following formula:

F = (C x 1.8) + 32

Substitute 50 for C in the formula:

F = (50 x 1.8) + 32F = 90 + 32F = 122°F

Therefore, 50°C is equal to 122°F.

In conclusion, quantitative literacy is critical to ensure that patients receive the best possible care. In the medical field, nurses, doctors, and other healthcare professionals must have excellent quantitative skills to interpret and use numerical data. They must understand how to calculate medication dosages, infusion rates, and vital signs accurately. They must also be able to interpret lab results, which are typically presented numerically. Without quantitative literacy, healthcare professionals would not be able to provide adequate care to their patients.

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Answer:

answer is c hope it helps

Answer: a

Step-by-step explanation:

Answer: x=50

Step-by-step explanation:

(3x+5)+(x-25)=180

Answer:

h = -9

2/3h - 1/3h + 11 = 8. Combine like terms

1/3h + 11 = 8. subtract from both sides

-11. -11

1/3h = -3

(3/1) 1/3h= -3 (3/1) multiply the reciprocal

h= -9

Step-by-step explanation:

2h/3 - h/3 + 11 = 8

h/3 = 8 - 11

h/3 = -3

h = -9

The calculated value of x in the similar triangles is 20

From the question, we have the following parameters that can be used in our computation:

The figure

The value of x can be calculated using

1/4x + 6 = 2x - 29

Collect the like terms

So, we have

2x - 1/4x = 29 + 6

When evaluated, we have

7/4x = 35

So, we have

x = 35 * 4/7

x = 20

Hence, the value of x is 20

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Answer:

it would take him 11 hours

Step-by-step explanation:

189/7 = 27 hours

297/27 = 11 hours

Answer: 5

Step-by-step explanation:

2w + 2L = perimeter

2w + 2(4) = 18

2w + 8 = 18

2w = 10

w = 5

Answer:

5

Step-by-step explanation:

Because the perimeter is the sum of all the sides. 4+4=8 and 18-8=10 so which one added to itself equals 10...5+5=10

Answer:

there are 4 different types of tranformations. these include translation, rotation, reflection, and dilation. in the function f(x)=(x−3)2+5 there are 3 transformations. these include a horizontal shift of 3 to the left, vertical shift of 5 up, and it is reflected over the x axis.

Step-by-step explanation:

Answer:

71 and 73

Step-by-step explanation:

hope this helps!

a logical argument that is presented in graphical form using boxes and arrows is called a flowchart proof

hope it helps ^-^

Using Delta y = f'(x) Delta x to find a decimal approximation of the radical expression, we get the value found using Delta y f' (x) Delta x is 124.176.

The Delta y = f’(x) Delta x is the linear approximation formula used in calculus to estimate the value of an unknown function based on its derivative at a particular point.

In order to solve the problem using Delta y = f’(x) Delta x, we first have to rewrite the radical expression in terms of a function.

Let the function f(x) = sqrt(x) represent the radical expression.

Then, we will find the value of f'(x) by differentiating the function f(x) using the Power Rule of differentiation.

f(x) = sqrt(x) f'(x) = 1/2x^(-1/2)

Next, we will substitute the given value of x in the function f(x) and f’(x) to solve for Delta y = f'(x) Delta x.

Given, x = 124

Delta x = 2 Δy = f’(x) Δx = 1/2 * 124^(-1/2) * 2 = 0.1762

Hence, the decimal approximation of the radical expression is 124.176.

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Answer:

2 8  +  1 2

Step-by-step explanation:

baku you left me alone in the comments without saying anything... :(

Answer:

C)10

Step-by-step explanation:

-4(-5)-10

＝20-10

=10

Please mark as brainliest!!

Answer:

B.

Step-by-step explanation:

When the number is positive and not inside the parentheses it means it gets translated up.