the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they charged a total of $1300. what was the rate charged per hour by each mechanic if the sum of the two rates was $105 per hour?

Answer:

Its B

Step-by-step explanation:

Try and read throught it slowly and everytime you hit a variable go down the the answer and find where it is. That helped me a lot

Answer:

b

Step-by-step explanation:

the french bread is f. the whole grain is double the price of f so it would be f(2) OR 2f. the cinnamon rasin is f + 2.50.

Answer: Dominant. The answer is dominant.

Final answer:

To find two consecutive odd integers, we can set up an equation based on the information given and solve for the variables. In this case, the lesser integer is 15 and the greater integer is 17.

Explanation:

To find two consecutive odd integers, let's represent the lesser integer as 'x' and the greater integer as 'x+2'. According to the given information, 87 more than the lesser integer is six times the greater integer. Mathematically, we can represent this as: x + 87 = 6(x+2).

To solve this equation, we can simplify and solve for 'x': x + 87 = 6x + 12. Simplifying further, we get 5x = 75, which leads to x = 15. Therefore, the lesser integer is 15 and the greater integer is 17.

Answer: Like terms

Example: 7x+9x are like terms because they both have an x with the same exponent of 1. We can combine them to get 7x+9x = 16x. This is like saying you have 7 boxes and you add on 9 boxes to get a total of 16 boxes.

Like terms are terms that have the identical variables and exponents. They can be combined or simplified in an expression. An example of like terms is 3x2 and 2x2 in the expression 3x2 + 2x2.

Terms that have the same variables with the same exponents on the variables are called like terms. In other words, like terms can be combined together because they have identical variable parts. For instance, in the expression 3x2 + 2x2, 3x2 and 2x2 are like terms because they both contain the variable x raised to the power of 2. Therefore, they can be simplified or added together, resulting in 5x2.

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height:length

1:2

x feet: 5 feet

You know the length and the ratio of the dimensions. From the ratio you know that the length is twice the height. So height = 5/2 = 2.5 ft.

Answer:

It is not a function because there is a maximum.

Step-by-step explanation:

With 12 as the maximum it will not go on forever and functions do.

The amount of time a car is parked is not a function of parking cost since the cost of parking cannot exceed the maximum amount of  $12 no matter how long the car is parked in the lot.

Given:

the rate of cost of parking in a lot, R = $3 per hour

maximum cost of parking in a lot, C = $12

To explain:

The cost of parking in a lot can be calculated as;

Cost = cost rate x time

let the time = t

Cost = 3t

        Cost = 3 x 1 = $3

        Cost = 3 x 2 = $6

        Cost = 3 x 3 = $9

        Cost = 3 x 4 = $12

        Cost = 3 x 5 = $15  

(notice, $15 has exceeded $12, but the maximum cost has to be $12)

Thus, time is not a function of cost of parking since the maximum cost cannot exceed $12 no matter how long the car is parked in the lot.

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Answer:

she used 3 on each

Step-by-step explanation:

255/85=3

(9 + 2i)(9 − 2i)=85

The square of an imaginary number i is always -1. i.e. i²=-1

So according to asked question,

(9+2i)(9-2i)

using the algebric identity (a+b)(a-b)=a²-b²

where a=9 , b=2i

=(9)²-(2i)²

=9²-(4*i²)    

=81-4i²

if we want to simplify the following expression    

=81-(4(-1))                  where i²=-1

=81+4

=85

Therefore (9 + 2i)(9 − 2i)=85

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Answer:

All the zeroes of f(x) are x = 1, x = -1 + 4i and x = -1 - 4i.

Step-by-step explanation:

Given that f(x) = x³ + x² + 15x - 17

Now, we have to find all the zeroes of the function.

Given that x = - 1 + 4i is a zero of the function.

So, x = - 1 - 4i must be another zero of the function.

Therefore, (x + 1 - 4i)(x + 1 + 4i) will be factor of the function.

Hence,  (x + 1 - 4i)(x + 1 + 4i)

= x² + 2x + (1 - 4i)(1 + 4i)  

= x² + 2x + [1² - (4i)²]

= x² + 2x + 17

Assume that (x + a) is another factor of f(x).

Therefore, we can write f(x) = x³ + x² + 15x - 17 = (x + a)(x² + 2x + 17)

⇒ x³ + x² + 15x - 17 = x³ + (a + 2)x² + (2a + 17)x + 17a

Hence, comparing the coefficients we can write  

a + 2 = 1  

⇒ a = -1  

Therefore, f(x) =x³ + x² + 15x - 17 = (x - 1)(x² + 2x + 17)

So, all the zeroes of f(x) are x = 1, x = -1 + 4i and x = -1 - 4i (Answer)

Answer:

  7n +5

Step-by-step explanation:

For each person, the bread required is ...

  1 club + 2 regular sandwiches = 1(3 slices) + 2(2 slices) = 7 slices

Then for n people, 7n slices of bread are required.

In addition, there is one Dagwood sandwich requiring 5 slices of bread. The total is then ...

  7n +5 . . . . slices of bread required to fill the order.

Answer:

15n+5

Step-by-step explanation:

To determine the number of slices of bread needed to fulfill the deli's order for the company picnic, we need to calculate the total number of sandwiches required and then multiply it by the number of slices each type of sandwich contains.

Let's break it down step by step:

1. For each person attending the picnic, the company wants three sandwiches: one club sandwich and two regular sandwiches. So, for $n$ people, we have $3n$ sandwiches in total.

2. A club sandwich has 3 slices of bread, and a regular sandwich has 2 slices. Therefore, the number of bread slices required for $3n$ sandwiches can be calculated as follows:

- For the $3n$ club sandwiches, we need $3 \times 3n$ slices of bread, which is $9n$ slices.

- For the $3n$ regular sandwiches, we need $2 \times 2 \times 3n$ slices of bread, which is $6n$ slices.

3. In addition to the club and regular sandwiches, the company wants just one Dagwood sandwich, which has 5 slices of bread.

4. To find the total number of slices of bread needed, we add up the slices needed for each type of sandwich:

- $9n$ slices for the club sandwiches

- $6n$ slices for the regular sandwiches

- 5 slices for the Dagwood sandwich

Therefore, the total number of slices of bread required is $9n + 6n + 5$, which can be simplified to $15n + 5$.

So, the fully simplified expression for the number of slices of bread needed by the deli to fulfill the order for the company picnic is $15n + 5$.

The percent error in estimating the tree's height is 22%.

To find the percent error, follow these steps:

Calculate the absolute error: Absolute error = |actual value - estimated value|

In this case, absolute error = |58 ft - 45 ft| = 13 ft.

Calculate the percent error: Percent error = (absolute error / actual value) * 100%

Percent error = (13 ft / 58 ft) * 100% ≈ 22.41%

Round to the nearest percent: Round 22.41% to the nearest integer, resulting in 22%.

Therefore, the percent error in estimating the tree's height is 22%.

Complete question:

Find the percent error in each estimation. Round to the nearest percent.

You estimate that a tree is 45 ft tall. It is actually 58 ft tall.

Answer:

81

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

Parallel lines have equal slopes.

Clearly the lines are not parallel.

The product of the slopes of perpendicular lines equals - 1

2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1

Thus the lines are not perpendicular.

Lines with Slope 1 = 2 and Slope 2 = 1/2 are neither parallel nor perpendicular.

To determine whether the two lines represented by Slope 1 = 2 and Slope 2 = 1/2 are parallel, perpendicular, or neither, we must consider the relationship between their slopes. Two lines are parallel if they have the same slope. In contrast, two lines are perpendicular if their slopes are negative reciprocals of each other (the product of their slopes is -1). In this case, since the slopes are different and their product (2 * 1/2) equals 1, not -1, the lines are neither parallel nor perpendicular.

Answer:

one avocado cost 2 dollars

Step-by-step explanation:

16 divided by 8 is 2 so therefor one cost $2

Divide 16 by 8.

16 ÷ 8 = 2.

So, one avocado costs $2.

Answer:

He has won 28 games.

Step-by-step explanation:

Since he wins 80% of the games he pitched, we need to find 80% of 35.

80% as a decimal is 0.8.

[tex]0.8 * 35 = 2.8[/tex]

Now we need to convert the product to a whole number.

[tex]2.8 * 10= 28[/tex]

80% of 35 is 28.

The baseball player won 28 games he pitched in.

The baseball pitcher won 28 games out of the 35 games he pitched by calculating 80% of the total games pitched.

To calculate how many games a baseball pitcher won after knowing he won 80% of the 35 games he pitched, you can use a simple percentage calculation. First, convert 80% to a decimal by dividing 80 by 100, which equals 0.80. Then, multiply the total number of games (35) by 0.80 to find out the number of games won:

Number of games won = Total games pitched imes Win percentage

Number of games won = 35 imes 0.80 = 28

So, the pitcher won 28 games out of the 35 games he pitched.

Answer:

Step-by-step explanation:

2x -2+5=13

2x +3 =13

2x = 13-3

2x = 10

x = 10/2

x = 5

Answer:

7 )

x =  [tex]\frac{3\sqrt{2} }{2}[/tex]

[tex]y= 3[/tex]

8 )

[tex]x=6\sqrt{6}[/tex]

[tex]y= 9\sqrt{2}[/tex]

Step-by-step explanation:

7  )                                 8)

In Δ ABC                                      In Δ XYZ            

∠ C = 45°                                          ∠ X = 60°

∠ A = 90°                                           ∠ Y = 90°

[tex]AC= \frac{3\sqrt{2} }{2}[/tex]             [tex]XY= 3\sqrt{6}[/tex]

To Find :

x = ?

y = ?

Solution:

We Know

In Δ ABC

∠ C = 45°

∠ A = 90°

∴ ∠ B = 45°  ......Angle sum property of a triangle i.e 180°

∴  Δ ABC is an Isosceles Triangle

∴ AC = AB = x =  [tex]\frac{3\sqrt{2} }{2}[/tex]

Now appplying Trignometry identity we get

[tex]\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\sin 45 = \frac{AC}{BC}\\\\\frac{1}{\sqrt{2} } =\frac{\frac{3\sqrt{2} }{2}}{y}\\\\y=\frac{3\times \sqrt{2}\times \sqrt{2}  }{2}\\\\y= 3[/tex]

Now In Δ XYZ

∠ X = 60°

∠ Y = 90°

∴∠ Z = 30°  . .....Angle sum property of a triangle i.e 180°

Now appplying Trignometry identity we get

[tex]\tan X = \frac{\textrm{side opposite to angle X}}{\textrm{side adjacent to angle X}}[/tex]

[tex]\tan 60 = \frac{YZ}{XY}\\\\\sqrt{3} =\frac{y}{3\sqrt{6} }\\  y= 3\sqrt{3} \sqrt{6} \\y= 9\sqrt{2}[/tex]

Now,

[tex]\sin X = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\\\sin 60 = \frac{YZ}{XZ}\\ \\\frac{\sqrt{3} }{2} =\frac{9\sqrt{2} }{x} \\\\x=\frac{18\sqrt{2} }{\sqrt{3} } \\\textrm{after fationalizing the denominator root 3 we get}\\\\x=6\sqrt{6}[/tex]

Step-by-step explanation:

Your equation is:

[tex] \frac{x}{8} + 3 = 7[/tex]

[tex] \frac{x}{8} = 4[/tex]

[tex]x = 32[/tex]

The student's question involves solving the algebraic equation x/8 + 3 = 7 to find the value of the unknown variable x. The solution to the equation is x = 32.

The question asks us to solve an equation involving the unknown variable, which is a common type of problem in algebra. According to the question, 'Three more than the quotient of a number and 8 is equal to 7'. This can be translated into the equation x/8 + 3 = 7, where x is the number we are trying to find.

To solve for x, we need to isolate it on one side of the equation. We start by subtracting 3 from both sides of the equation:

Next, we multiply both sides of the equation by 8 to solve for x:

Therefore, the unknown number is 32.

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Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = [tex] \pi r^{2}[/tex]

[tex]\frac{1}{4} \pi ^{2}[/tex] = [tex] \pi r^{2}[/tex]

dividing π by both sides:

[tex]\frac{1}{4}\pi[/tex][tex]=r^{2}[/tex]

using square root on both the sides:

[tex]\frac{1}{2}\sqrt{\pi } = r[/tex]

So, the radius is [tex]\frac{1}{2}\sqrt{\pi } [/tex]

Now, putting the formula of circumference:

[tex]circumference=2\pi r[/tex]

                              =[tex]2\pi\frac{1}{2} \sqrt{\pi}[/tex]

                              =[tex]\pi \sqrt{\pi}[/tex]

putting the value of π =3.14

                              =[tex]3.14\times\sqrt{3.14}[/tex]

                              =[tex]3.14\times1.77[/tex]

                              =[tex]5.56[/tex]

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

Answer:

yes

Step-by-step explanation:

In order to be a function, x values should not be repeated.

For example. (0,2) and (2, 2) would work.

(0,2) and (0,8) would not because there are two values for 0.

In this case, each x-value (0, 2, 7, and 9) are only used once so it is a function

Answer:

yes

Step-by-step explanation:

For this relation to be a function

Each value of x from the domain ( values on left ) must map to exactly one value of y in the range ( values on right )

Here

0 → 11

2 → 9

7 → 4

9 → 2

This is the case here thus represents a function

Answer:

m=-48.6

Step-by-step explanation:

-27.5-m=21.1

m=-27.5-21.1

m=-48.6

Answer:

48.6 Is your correct answer :)

Step-by-step explanation:Please mark brainlies :)

Answer:

20% peanuts are there in the mixture of nuts.

Step-by-step explanation:

Total weight of the mixture =25 lbs(10+15)

In the 25 lbs mixture of nuts, 68 % is peanuts, therefore finding the total weight of peanuts.

68 % of 25 lbs= 17 lbs.

There is a total 17 lbs of peanuts in the mixture .

15 lbs of peanuts was exclusively added, therefore the rest 2 lbs must have come from the mixture of nuts.

Therefore, there is a total of 2 lbs of peanuts in 10 lbs of mixture of nuts.

[tex]\frac{2}{10} *100[/tex] =20 %

20% peanuts are there in the mixture of nuts.

First add the two fractions inside parenthesis:

5/7 - 6/14

Rewrite 5/7 to have a common denominator:

5/7 = 10/14

Now you have 10/14 - 6/14

10-6 = 4

The answer is 4/14, which can be reduced to 2/7

Answer:

(a)

Step-by-step explanation:

2/7 hope it helps

For 4 copies, the total cost for preparing and printing will be the same.

Step-by-step explanation:

Let,

p be the number of pages

Company A;

Charges of preparing = $6

Charges of per page print = $2.50

A(p)= 2.50p + 6   Eqn 1

Company B;

Charges of preparing = $4

Charges of per page print = $3

B(p)= 3p + 4    Eqn 2

For equaling the cost;

A(p) = B(p)

[tex]2.50p+6=3p+4\\2.50p-3p=4-6\\-0.50p=-2[/tex]

Dividing both sides by -0.50

[tex]\frac{-0.50p}{-0.50}=\frac{-2}{-0.50}\\p=4[/tex]

For 4 copies, the total cost for preparing and printing will be the same.

Keywords: Addition, division

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Answer:

Slope: 2y- int: −6

Explanation:

We can easily find the slope and

y -intercept of this line by converting it to slope intercept form

y=mx + b, with slope m and a

y- intercept of b.

Let's subtract

8x

from both sides to get

−4y=−8x+24

Next, we divide all terms by

−4 to get y=2x−6

Now that our equation is in this form, we see that our slope is

2, and our y -intercept is −6.

-Hope this helps you

Paul caught 3 pike and 1 salmon

The total number of fish the three boys caught is 16

Solution:

According to question,

Mike caught 1 pike and 4 salmon

Charlie caught 5 pike and 2 salmon

Paul caught half the number of pike that both Charlie and Mike caught combined, and 1 less salmon than Charlie caught

Pike caught by Paul = half of number of pike that both charlie and mike caught combined = [tex]\frac{1}{2} (5 + 1) = 3[/tex]

Salmon caught by Paul = 1 less salmon than Charlie caught = 2 - 1 = 1

Thus, Paul caught 3 pike and 1 salmon

Total of numbers Pike caught by three boys are  

5 + 1 + 3 = 9 pikes

Total of numbers salmon caught by three boys are  

4 + 2 + 1 = 7 salmons

Hence , the total number of fish caught are

9 + 7 = 16 fishes  

Answer: 90 millimeters

Step-by-step explanation: To convert centimeters to millimeters, multiply centimeters by 10. 9x10=90.

Answer:

The vertex of the function is (2, -3).

Step-by-step explanation:

Given:

[tex]y=x^{2}-4x+1[/tex]

So, to find the vertex of the function we will get the equation in the form:

[tex]y=ax^{2} +bx+c[/tex]

[tex]y=1x^{2}+(-4)x+1[/tex]

So, [tex]a=1,b=-4,c=1[/tex]

Then, we calculate the x-coordinate of the vertex:

[tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-(-4)}{2\times1}\\x=\frac{4}{2}[/tex]

[tex]x=2[/tex]

And now, we get the [tex]y[/tex] value of vertex of the function:

[tex]y=1x^{2}-4x+1[/tex]

[tex]y=1\times 2^{2}+(-4)\times (2)+1[/tex]

[tex]y=1\times 4-8+1[/tex] (when the opposite signs multiply the result is negative)

[tex]y=4-8+1[/tex]

[tex]y=-3[/tex]

Therefore, the vertex is at [tex](x,y)=(2,-3)[/tex].

The acceleration rounded off to the nearest 100th is: -2.14 m/s^2

Step-by-step explanation:

Acceleration can be defined as the change in velocity over time.

The acceleration is negative in case of slowing down as the velocity goes from a higher value to lower value.

The formula for acceleration is:

[tex]a=\frac{Change\ in\ velocity}{time}\\a=\frac{v_f-v_i}{t}\\Here,\\v_f\ is\ final\ velocity\\v_1\ is\ initial\ velocity\\t\ is\ time[/tex]

Given

v_f = 230 m\s

v_i = 245 m\s

t = 7

Putting the values

[tex]a=\frac{230-245}{7}\\=\frac{-15}{7}\\=-2.14\ ms^{-2}[/tex]

Hence,

The acceleration rounded off to the nearest 100th is: -2.14 m/s^2

Keywords: Velocity, Acceleration

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