Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of
$1625. What was the rate charged per hour by each mechanic if the sum of the two rates was $160 per hour?
Note that the ALEKS graphing calculator can be used to make computations easier.
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Answer:

the marked down price is 56.95

Step-by-step explanation:

Câu A. Một sợi dây không giãn, khối lượng dây không đáng kể, được vắt qua một ròng rọc cố định. Hai đầu dây buộc hai vật có khối lượng tương ứng là m1 =500g và m2 <m1. Sau 2 (s) kể từ lúc bắt đầu chuyển động, hệ vật đi được 400 (cm). Tính m2 và sức căng của dây.

Answer: 15

Step-by-step explanation:

casue

Answer:

x = 1

Lemme know if you need the steps.

Please mark brainliest if possible :)

Answer:

C. y = | x – 5.5 |

Step-by-step explanation:

y = f(x) + n - moves the graph n units up

y = f(x) - n - moves the graph n units down

y = f(x + n) - moves the graph n units to the left

y = f(x - n) - moves the graph n units to the right

5.5 units to the right

y = f(x - 5.5) = |x - 5.5|

...................................................................................................................................................

Answer:

acd

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

Subtract 15 from 17 to find the increase -

17 - 15 = 2

Divide 2 by the original friend amount -

2/15 = 0.133

Multiply 0.133 by 100 to find the percent -

13.3

Round to the nearest percent:

13% increase

Answer:3.13/1

Step-by-step explanation:

Answer:

0.859493

0.859

Hope This Helps!!!

Answer:

7x+5x-5=-5+12x

18x+5x-12x=5-5

0=0

6y-30=20+6y

6y-6y=50

0=50??

i didn't understand what's the question. i guess equations but weird answers

[tex] \sf 3a. \quad \frak{7x + 5(x - 1) = - 5 + 12x} \\ \\ : \implies \frak{7x + 5x - 5 = - 5 + 12x} \\ \\ : \implies \frak{7x + 5x - 5 = - 5 + 12x} \\ \\ : \implies \frak{12x - \cancel5 + \cancel5=12x} \\ \\ : \implies \frak{ \cancel{12x} - \cancel{12x} = 0} \\ \\ \star \qquad \underline{ \blue{\frak{x = undefined}}}[/tex]

[tex] \sf3b. \quad \frak{6(y - 5) = 2(10 + 3y)} \\ \\ \dashrightarrow \frak{6(y - 5) = 2(10 + 3y)} \\ \\ \dashrightarrow \frak{6y - 30= 20 + 6y} \\ \\ \dashrightarrow \frak{0y = 50} \\ \\ \star \qquad \underline{ \blue{\frak{y = undefined}}}[/tex]

Answer:

Step-by-step explanation:

Answer:

D. y = | x + 10.5 |

Step-by-step explanation:

The + inside of an absolute value equation really means -.

So there will be a horizontal shift left by 10.5 units.

Answer:

D. y = | x + 10.5 |

Step-by-step explanation:

We are given that,

The parent function is .

Now, the parent function is shifted 10.5 units to the left.

Since, shift of a function f(x) by 'k' units to the left changes the function to f(x+k).

So, the new function is given by .

Hence, option D is correct.

The answer to this is C I think, I'm usually always correct so trust me k?

Answer:

A

Step-by-step explanation:

Answer:

[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]

Reflect over the y axis; dilate by a scale factor of 2.

==================================================

Explanation:

Let's focus on the bottom-most points of each rhombus. For rhombus A on the left, that point in question is (-3,1). For rhombus B, that corresponding lowest point is (6,2).

If we were to reflect rhombus A over the y axis, then (-3,1) would move to (3,1). Simply swap the sign of the x coordinate while keeping the y coordinate the same. Now compare (3,1) to (6,2). Notice that we can multiply each coordinate of (3,1) by the scale factor 2 so that we jump to (6,2)

[tex](3,1) \stackrel{\text{mult by 2}}{\longrightarrow} (6,2)[/tex]

This "multiply by 2" operation is done to each point of the reflected blue rhombus so that we end up with the green rhombus after all is said and done. Also, this trick of multiplying the coordinates by the scale factor only works if the center of dilation is the origin.

In short, we do two things:

which allows us to go from blue (rhombus A) to green (rhombus B)

Answer:

A

Step-by-step explanation:

3m+8=20

3m=20-8

3m=12

m=4

Step-by-step explanation:

Surface area of what shape or solid ?

Answer:

70% increase

Step-by-step explanation:

51-30 = 21

21/30 = 0.7

0.7 x 100

Answer:

No

Step-by-step explanation:

-7+12=5

Answer:

[tex]x=7[/tex]

-7 is not a solution for [tex]x+12=19[/tex]

Step-by-step explanation:

[tex]x +12 = 19[/tex]

Subtract 12 from both sides

[tex]x = 19-12[/tex]

Subtract 12 from 19 to get 7

[tex]x = 7[/tex]

It would be -7 if it was [tex]-x+12=19[/tex]

Answer:

9

Step-by-step explanation:

it just is

Step-by-step explanation:

Step 1 :Equation at the end of step 1

 (((x3) +  7x2) +  4x) -  12

Step 2 :Checking for a perfect cube

2.1    x3+7x2+4x-12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+7x2+4x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+7x2

Group 2:  4x-12

Pull out from each group separately :

Group 1:   (x+7) • (x2)

Group 2:   (x-3) • (4)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3+7x2+4x-12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -10.00    

     -2       1        -2.00        0.00      x+2

     -3       1        -3.00        12.00    

     -4       1        -4.00        20.00    

     -6       1        -6.00        0.00      x+6

     -12       1       -12.00        -780.00    

     1       1        1.00        0.00      x-1

     2       1        2.00        32.00    

     3       1        3.00        90.00    

     4       1        4.00        180.00    

     6       1        6.00        480.00    

     12       1        12.00        2772.00    

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3+7x2+4x-12

can be divided by 3 different polynomials,including by  x-1

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3+7x2+4x-12

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     x3  +  7x2  +  4x  -  12

- divisor  * x2     x3  -  x2        

remainder         8x2  +  4x  -  12

- divisor  * 8x1         8x2  -  8x    

remainder             12x  -  12

- divisor  * 12x0             12x  -  12

remainder                0

Quotient :  x2+8x+12  Remainder:  0

Trying to factor by splitting the middle term

2.5     Factoring  x2+8x+12

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +12

Step-1 : Multiply the coefficient of the first term by the constant   1 • 12 = 12

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   8 .

     -12    +    -1    =    -13

     -6    +    -2    =    -8

     -4    +    -3    =    -7

     -3    +    -4    =    -7

     -2    +    -6    =    -8

     -1    +    -12    =    -13

     1    +    12    =    13

     2    +    6    =    8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  6

                    x2 + 2x + 6x + 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+2)

             Add up the last 2 terms, pulling out common factors :

                   6 • (x+2)

Step-5 : Add up the four terms of step 4 :

                   (x+6)  •  (x+2)

            Which is the desired factorization

Final result :

 (x + 6) • (x + 2) • (x - 1)

Step-by-step explanation:

first, find a common denominator

3/7 = 9/21

3/21 stays the same.

then, add

9/21 + 3/21 = 12/21

and if possible, simplify

12 and 21 are both divisible by 3, so divide by 3.

12/3= 4, 21/3=7

so, 3/7 + 3/21 = 4/7

Answer:

4/7

Step-by-step explanation:

The fraction 3/21 can be simplified. The 3 divides 21 which 7, so the fraction can be written as 1 /7. Now, we just have:

3/7 + 1/7

We need to add the numerators to get one fraction:

4/7

Answer:

the correct answer is A.I can’t be confident at all; this is about as close to a random guess as you can get.

Step-by-step explanation:

hope this helps

Answer:

It is 19

Step-by-step explanation:

Step-by-step explanation:

x > -1

x = {0,1,2,...}

[tex] \lang -1,+\infty \rang[/tex]

Answer:

You're correct

Step-by-step explanation:

Have a good day :)

Answer:

uno=dose

Step-by-step explanation:

Answer:

Step-by-step explanation:

first such theorem is the side-angle-side (SAS) theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. Following this, there are corresponding angle-side-angle (ASA) and side-side-side (SSS) theorems.

Congruent shapes have equal corresponding sides and angles.

The congruence theorem that can be used to prove is SSS

[tex]\triangle MLQ \cong \triangle NPQ[/tex] means that, the triangles are congruent.

From the question, the following sides are congruent

The above highlights mean that the theorem can be used to prove that the triangles are congruent is SSS.

This is so, because all corresponding sides of both triangles are equal.

Read more about congruent triangles at:

https://brainly.com/question/11329400

Answer:

The process standard deviation is 0.14, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 10.664  

Step-by-step explanation:

^

Answer:234

Step-by-step explanation:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

72 is answer

as it got down by 4% every year

in 2011 it was 75 means in the next year it will be 75-(75*4/100) that is equal to 72

The robbery rate in year 2012 was 72.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that in a city that robbery rate was 75 in 2011 was 75, and then went down by 4% in 2012.

We need to find the robbery rate of the city in 2012.

So, here went down means it decreased by 4%,

That mean, now the robbery rate will be (100-4) = 96% of 75.

Therefore, the robbery rate in year 2012 was =

0.96 x 75 = 72

Hence the robbery rate in year 2012 was 72.

Learn more about percentages click;

https://brainly.com/question/29306119

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