A mechanic charges $45 per hour for labor plus $55 for a computer diagnostic test. The mechanic charges a customer $595 to repair a vehicle. How many hours did the mechanic spend on the repair?

On solving the provided question, we can say that - the range [tex]|x + 1| = 0[/tex] [tex]x + 1 = 0 = > x = -1[/tex] and [tex]y = 3[/tex]

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

[tex]|x + 1| = 0\\x + 1 = 0\\x = -1[/tex]

[tex]y = |-1 + 1| + 3\\y= 0 + 3\\y = 3[/tex]

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By drawing the line x + y = 2, one of the solution to the given system of equations is (0, 2).

Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

From the information provided, we have the following system of equations:

x² + y² = 9             ......equation 1.

x + y = 2              .............equation 2.

Next, we would use an online graphing calculator to plot the given system of equations and then highlight (read) the point of intersection, which is the ordered pair (0, 2).

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Answer:

The first one is 1/2, 0.5, and 50%

The second one is 1/4, 0.25, and 25%

Step-by-step explanation:

so, we can say that therefore, the sample of 20 cheerleaders used for the study provides the solution to the issue.

A sample is a controlled, abridged version of a bigger group. It is a demographic subset containing characteristics from a larger population. Samples are used in statistical testing when population sizes are too large to accommodate all prospective participants or observers in the experiment.

The 20 cheerleaders that are used as a sample for this study are.

Explanation: Because only 20 cheerleaders were chosen from high schools in California for the research of the banana influence on speed and endurance, the sample available was limited to those 20 cheerleaders. As a result, the sample's results were based on those 20 cheerleaders.

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Answer: A total of 8 1/3 yards of fabric is needed for both pieces.

Step-by-step explanation: First, you must subtract 1/6 from 4 1/4 to figure out how many yards of fabric is needed for the matching jacket. To do this, you have to find common denominators for each fraction. Since the fractions have a least common denominator of 12, change each fraction to satisfy this new denominator: 1/6 changes to 2/12 and 4 1/4 changes to 4 3/12. Now, you must subtract: 4 3/12 - 2/12 = 4 1/12. Therefore, the matching jacket requires 4 1/12 yards of fabric. Next, add the amount of fabric for the dress (4 3/12) to the amount of fabric for the matching jacket (4 1/12): 4 3/12 + 4 1/12 = 8 4/12. Simplify 8 4/12 to get a final answer of 8 1/3 yards of fabric in total.

A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.

Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities.

According to the question

A particular dress requires 4 1/4 yards of fabric for manufacturing.

If the matching jacket requires 1/6 yards less fabric.

Jacket need = [tex]4\frac{1}{4} -\frac{1}{6}[/tex]

= [tex]\frac{17}{4} -\frac{1}{6}[/tex]

= [tex]\frac{49}{12}[/tex]

Add the Jacket fabric and dress fabric

Together we need = [tex]\frac{17}{4} +\frac{49}{12}[/tex]

= [tex]\frac{100}{12}[/tex]

= [tex]\frac{25}{3}[/tex]

A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.

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Answer:

Correct answer is B

Answer:

B.

Step-by-step explanation:

comment if u need explanation :))

Answer:

[tex]A=9\pi cm^{2}[/tex][tex]=28.27cm^{2}[/tex]

Step-by-step explanation:

If  BC= 6

then r = BC/2 = 6/2 = 3cm

[tex]A=\pi r^{2} =\pi (3)^{2} =9\pi[/tex]

[tex]A=28.27cm^{2}[/tex]

Hope this helps

Answer:

1) 113.0 m^2

2) 12.6 ft^2

3) 50.2 in^2

4) 153.9 m^2

5) 254.3 yd^2

Step-by-step explanation:

pi (3.14) times radius squared

1) 3.14 times 6^2 (36)

113.04

2) diameter is given, divide by 2 to find radius

3.14 times 4^2

12.56

There is a 2/17 difference between 16/17 and 14/17 as 17 is the shared denominator of both fractions.

A whole can be represented by any number of equal parts, or fractions. The number of units of a particular size is expressed as a fraction in standard English. 8, 3/4. Fractions are included in wholes. Numbers are expressed in mathematics as the ratio of the numerator to the denominator. In simple fractions, each of these is an integer. A complicated fraction contains a fraction in either the numerator or denominator. There is a difference between the numerators and denominators of true fractions. A sum that is a fraction of a whole is referred to as a fraction. You can evaluate it by dissecting the whole into smaller pieces. For example, 12 is used to represent one-half of a full number or item.

Given,

To get the difference between 16/17 and 14/17, discover their common denominator first.

17 is the shared denominator of both fractions.

To solve, multiply the result by the numerator of the fractions, then divide the sum by the common denominator:

16 - 14/17 (16 - 14) = 2/17 is the solution.

Therefore, there is a 2/17 difference between 16/17 and 14/17.

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The value of x on the line segment and the triangle is 17.3 units

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

A triangle (see attachment for the triangle)

Also from the question, we understand that:

BD bisects ∠ABC

Using the bisector theorem, we have

x/13 = 20/15

Multiply both sides of the equation by 13

So, we have the following representation

13 * x/13 = 20/15 * 13

Evaluate the products

So, we have the following representation

x = 20/15 * 13

Evaluate the other products

So, we have the following representation

x = 52/3

This gives

x = 17.3

Hence, the length x is 17.3 units

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Answer:

Slope of the line would be [tex]\frac{4}{5}[/tex]

Hope this helps!

Answer:

Marita had a $10-off coupon, so she paid $50 - $10 = $40 for the item

Step-by-step explanation:

To find the original price of the item, we need to work backwards through the discounts and find the price of the item before any discounts were applied.

We'll call the original price of the item "x."

First, we know that Marita received a 25% discount on the item, which means she paid 100% - 25% = 75% of the original price.

Then, Marita received an additional 20% discount on the sale price, which means she paid 100% - 20% = 80% of the 75% discounted price.

So, Marita paid 80% of the original price, which was reduced by a 25% discount. That means she paid 0.8 * 0.75 = 0.6 * original price = $30.

Therefore, the original price of the item was $30 / 0.6 = $<<30/0.6=50>>50.

Finally, Marita had a $10-off coupon, so she paid $50 - $10 = $40 for the item.

The Value for x and y as follow:

A) x=2 and y=-8

B) x = -2 and y = 5

C) x = -9/4 and y= -5/2

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Given:

A) 9x- 2y = 34...............(1)

5x+ 2y = -6..............(2)

Adding equation (1) and (2) we get

9x -2y = 34

5x + 2y = -6

_____________

14x = 28

x= 28/14

x= 2

and, 5x +2y= -6

5(2) + 2y= -6

2y = -6 -10

y = -8

B) x+ 6y = 28.....................(3)

2x -3y = -19................(4)

Multiply equation (2) by 2 we get

4x - 6y = -38.......................(5)

Adding equation (3) and (5), we get

x + 6y = 28

4x- 6y = -38

___________

5x = -10

x= -2

and, x+ 6y= 28

-2 +6y= 28

6y= 30

y=5

C) 8x -6y = -3................(6)

6x -5y = -1......................(7)

Multiply equation (6) by 5 and equation by (6), we get

40x - 30 y = -15

36 x - 30y = -6

-       +           +

____________

4x = -9

x= -9/4

and, 8x - 6y = -3

8(-9/4) - 6y = -3

-18 - 6y= -3

-6y = 15

y = -5/2

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According to the table, the average number of pools sold per month during this period is 14 (to the nearest tenth)

It is defined as the ratio of summation of all the data to the number of units present in the list. It can also be the middle value, calculated by dividing the total of all the values by the number of values.

The average can also be defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is represented mathematically as;

Average = Sum of Values/Number of Values

Average = total swimming pools sold in six months / number of months

Average = (11 + 10 + 12 + 16 + 15 + 18) / 6

Average = 82/6

Average = 13.7

Average = 14 (to the nearest tenth)

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Answer:

Step-by-step explanation:

Midpoint formula is x3 = (x1+x2)/2, y3=(y1+y2)/2

so x3=(9-5)/2=2, y3=(-5/2-3/2)/2=-2.

the coordinates is (2, -2).

Answer:

d7-dx=(20x|x-3|+40)x  x-3 (|x-3+2)x| x-3|

Step-by-step explanation:

Hope this helps :D

4.8

Divide 250 by 2 which is 125 then do 600 divided by 125. Then your answer should be 4.8.

Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).

The mathematical field of trigonometry investigates relationships between triangle sides and angles. Because every straight-sided form may be reduced to a collection of triangles, trigonometry is a fundamental concept in all of geometry. The relationships between trigonometry and other branches of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly intricate.

Here,

[tex]e^{x}[/tex] is a function that increases across all of space  (d[[tex]e^{x}[/tex] ]/dx = [tex]e^{x}[/tex]  which is never negative), it must be that so it must be that [tex]e^{u}[/tex] crosses y=1 just once, or at u = 0. To demonstrate this:

In[tex]e^{sinx}[/tex]= In 1

sin x = 0

And when x = "0, 0", "2", we would have that sin x = 0 in [0, 2"]. In general, we would then have that x = n, where n Z, because of the periodicity of sin (where n is an integer).

Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).

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Answer: 8

Step-by-step explanation:

Im guessing this is your question

Noah's family bought some fruit bars to put in the gift bags. They bought one box each of four flavors: apple, strawberry, blueberry, and peach. The boxes all had the same number of bars. Noah wanted to taste the flavors and ate one bar from each box. There were 28 bars left for the gift bags. Use the tape diagrams to determine how many fruit bars were originally in each box.

Answer:

Step-by-step explanation:

x-5

me bye u see okay later

Answer: 140

Step-by-step explanation: N/7=20, so we have to isolate N. Hence, we multiply 7x7 because we are dividing by 7. We must multiply the other side too, so it is 140.

Answer:

N/7 = 20.

Cross multiply.

N x 1 = 20 x 7

N = 140.

Answer:

Variable form: x=24 and x=1

Point form: (24,0) and (1,0)

Step-by-step explanation:

f(x) = x² - 25x + 24

0 = x² - 25x + 24

0 = (x-24)(x-1)

0 = x - 24 and x - 1 = 0

24 = x and x = 1

Therefore, the zeroes of the function are (24,0) and (1,0)

Answer:

B

Step-by-step explanation:

1.5 x 1.5 x 3.6 = 8.1

8.1/2 = 4.05 cm^3

Answer: 10

Step-by-step explanation:

The interquartile range is the whole box but not the whiskers, so lowest number to highest number you take these two and subtract thus the answer is 10

20 - 30 = 10

The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.

Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.

When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.

1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.

2. (x -a)(x +a)  = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.

3.  (x -a)(x³ +x) =  x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms

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Use Pythagorean theorem,   C^2 = A^2 + B^2

Where c is the hypotenuse, and b and a are the sides.

Substitute and solve:

[tex]C^2 = 6^2 + 8^2[/tex]

[tex]C^2 = 36 + 64[/tex]

[tex]C^2 = 100[/tex]

[tex]\sqrt{C^2} = \sqrt{100}[/tex]

[tex]C = 10[/tex]

The distance between points E(-8, 7) and L(-1, 4) on the coordinate plane is √58 units

An equation shows how two or more numbers and variables are related to each other.

The distance between two points in the coordinate plane is given as:

[tex]Distance=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The distance between points E(-8, 7) and L(-1, 4) is:

[tex]EL = \sqrt{(4-7)^2+(-1-(-8))^2}=\sqrt{58}[/tex]

The distance is √58 units

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