Rhonda worked three more than twice as many hours as Chris did. How many hours did each work if together they worked 57 hours

Answers

Answer 1

Answer:

Rhonda: 39 hours; Chris: 18 hours.

Step-by-step explanation:

If you subtract the extra 3 hours from the total, you have Chris's hours plus twice Chris's hours adding to 54. That is, Chris worked 54/3 = 18 hours, and Rhonda worked 57-18 = 39 hours = 2·18 +3 hours.

_____

If you insist on equations, you can write two of them:

... r = 2c +3

... r + c = 57

Substitute for r in the second equation:

... (2c +3) +c = 57

... 3c +3 = 57 . . . . . from here down, the explanation above matches this math

... 3c = 54

... c = 54/3 = 18

... r + 18 = 57 . . . . . . substitute for c in the second equation

... r = 57 - 18 = 39


Related Questions

A tent costs $499.It is on sale for $75 off of the original price.Mentally subtract to find the sale price

Answers

The sale price is $425


hope this helps

the sale price is $424

|x|+5=18? Solve and Show your Work?

Answers

Answer:

X = 13 or X = -13

Step-by-step explanation:

Step 1: Add -5 to both sides.

|x| + 5 + − 5 = 18 + − 5

|x| = 13

Step 2: Solve Absolute Value.

|x| = 13

We know either x = 13 or x = -13


Hope this helps :-)


Answer:⇒⇒⇒⇒⇒⇒⇒[tex]x=-13[/tex] or [tex]x=13[/tex]


Step-by-step explanation:

Subtract by 5 from both sides of the equation.

[tex]|x|+5-5=18-5[/tex]

Simplify.

[tex]|x|=13[/tex]

[tex]x=-13 or x=13[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

If the graph of y = |x| is translated so that too. (1, 1) is moved to (4, 1) what is the equation of the new graph

Answers

Answer: y = |x-3|

The point (1,1) has been moved 3 spots to the right to get to (4,1). The entire equation of the V shaped curve will also move 3 spots to the right. So that's how we go from |x| to |x-3|. Note how plugging in x = 4 leads to y = |x-3| = |4-3| = |1| = 1

The total cost of 9 bracelets, including shipping was $72. The shipping charge was $9. Define your variable and write and equation that models the cost of each bracelet. ((THERE IS A SECOND PART TO THIS QUESTION WHICH WILL BE IN THE PICTURE PLEASE HELP WITH THAT AS WELL PLEASE))

Answers


[tex]Let \: x \: be \: the \: price \: of \: each \: bracelet. \\ We \: have \: an \: equation: \: 9x+9=72. \\ 9(x + 1) = 72 \\ x + 1 = 8 \\ x = 8 - 1 = 7 \\ So \: each \: bracelet \: worths \: \textdollar1[/tex]

X= cost of each bracelet

9x+9=72

9x+9-9=72-9

9x=63

9x/9=63/9

X=7

The answer to the first part is $7 / each bracelet.

what do the rates of change in the example represent?

Answers

Rate of change is another way of saying slope, so it's asking you what your slope is, and how many units you have to move to the right, and how many units you have to move up.
Example:
Everytime it moves 2 units to the right, I go 3 units up.

What is the slope of (-1,-11) and (-6,-7)?

Answers

(y-y)/(x-x)

slope = 4/-5

The slope is the change in Y over the change in X

Label each point (x1,y1) and (x2,y2)


Slope = y2 - y1 / x2-x1

Slope = -7 - (-11) / -6 - (-1)

Slope = -7 +11 / -6 +1

Slope = 4 / -5

Move the negative sign in front:

Slope = -4/5

If the selling price is $18 and the markup is 33% what is the dollar markup

Answers

There are two good ways to go about this,

You can either do

Regular Price + .33 * Regular Price

or

Regular Price * 1.33


So, i'll do the latter.

18 * 1.33 = 23.94


So, the markup price is $23.94

Answer:

$23.94

Step-by-step explanation:

how to factor 125x^3 - 64

Answers

Answer:

Step-by-step explanation:

Factor 125[tex]x^{3}[/tex]-64

STEP 1: Equation at the end of step 1

5³ₓ³ -  64

STEP 2:Trying to factor as a Difference of Cubes:

2.1      Factoring: 125[tex]x^{3}[/tex]-64

Theory : A difference of two perfect cubes [tex]a^3 - b^3[/tex] ,can be factored into

(a-b) • (a² +ab +b²)

Proof :  (a-b)•(a²+ab+b²) =

           [tex]a^3+a^2b+ab^2-ba^2-b^2a-b^3 =[/tex]

           [tex]a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =[/tex]

           [tex]a^3+0+0-b^3 =[/tex]

           [tex]a^3-b^3[/tex]

Check :  125  is the cube of  5

Check :  64  is the cube of   4

Check :  x³ is the cube of   x¹

Factorization is :

(5[tex]x[/tex] - 4)  •  (25[tex]x^{2}[/tex] + 20[tex]x[/tex] + 16)

Trying to factor by splitting the middle term

2.2     Factoring  25[tex]x^{2}[/tex] + 20[tex]x[/tex] + 16

The first term is,  25[tex]x^{2}[/tex]  its coefficient is  25 .

The middle term is,  +20[tex]x[/tex]  its coefficient is  20 .

The last term, "the constant", is  +16

Step-1 :

Multiply the coefficient of the first term by the constant   25 • 16 = 400

Step-2 :

Find two factors of  400  whose sum equals the coefficient of the middle term, which is 20 .

                       -400     +     -1    =     -401

                     -200     +     -2    =     -202

                     -100      +     -4    =      -104

                      -80      +     -5    =      -85

                      -50      +     -8    =      -58

                      -40      +    -10   =      -50

For tidiness, printing of 24 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

[tex](5x - 4) • (25x^2 + 20x + 16)[/tex]

I am confused on #7, can any smart people out there that understand math help me?

Answers

you are dividing the number with the x so 4 when you divide 4 on both sides 4x cancels out because it’s 0 and 8 divides by 4 is 4 so y=4

386 students went on a field trip 8 buses were filled in 10 students traveled in cars how many students were in each bus

Answers

386 total students - 10 riding in cars = 376 students riding in buses

376 students riding in buses/8 buses = 47 students on each bus

There were 47 students on each bus.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that 386 students went on a field trip, eight buses were filled in 10 students traveled in cars.

Therefore,

386 total students - 10 riding in cars

386-10= 376 students riding in buses

Now,

376 students riding in buses dividied by 8 buses

376/8 = 47 students on each bus

Hence, there were 47 students on each bus.

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Ryan runs 100 m two times. His times were 14.19 s and 13.78 s.

Daniel runs 100 m two times. His times were 15.77 s and 16.24 s.

How much greater was Daniel's total time than Ryan's total time?

Enter your answer in the box.

Answers

Answer is 4.04 by adding both of the time of each then subtracting then from each others time

Answer:

4.04

Step-by-step explanation:

take the number 14.19 and add that to 13.78, you get 27.97.

Now take 15.77 and add that to 16.24, you get 32.01.

Now take 32.01 and 27.97 and subtract them.

You get 4.04.

And thats your answer

whats 24 ÷ 3 ×5÷4×7[7÷6]

Answers

(24/3(5)/4(7))(7/6)

=245/3 (Decimal: 81.666667)

245/3

decimal 81.666667

Three times the sum of a number and 4 is the same as 18 more than the number what is the number

Answers

3(x + 4) = 18 + x
3x + 12 = 18 + x
3x - x = 18 - 12
2x = 6
x = 3

Answer:

number x = 3.

Step-by-step explanation:

Given : Three times the sum of a number and 4 is the same as 18 more than the number.

To find : what is the number.

Solution : We have given a statement

According to question :

Let the number= x

Sum of the number and 4 = x + 4

Three times the sum of the number and 4 = 3 ( x +4).

18 more than a number = 18 + x .

Three times the sum of a number and 4 is the same as 18 more than the number.

3 (x+4) = 18 + x

On distributing 3 over ( x+4)

3x + 12 = 18 + x

On subtracting both sides by 12

3x = 18 -12 +x

3x = 6+x

On On subtracting both sides by x

3x -x =6

2x = 6

On dividing both sides by 2

x = 3.

To verify plug x = 3 in 3x + 12 = 18 + x

3(3)+12 =18+3

9+12 = 18+ 3

21 =21

Therefore, number x = 3.

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)? a. g(x) = (x + 9)2 + 4 b.g(x) = (x + 9)2 − 4 c.g(x) = (x − 4)2 + 9 d.g(x) = (x + 4)2 + 9

Answers

It'd be c) g(x)=(x-4)2+9


Answer : C

The function [tex]f(x)= x^2[/tex] has been translated 9 units up and 4 units to the right to form the function g(x)

For 9 units up, we add 9 at the end of f(x)

f(x) + 9

so equation becomes [tex]f(x)= x^2 + 9[/tex]

For 4 units right , we subtract 4 from x  in f(x)

f(x-4)

So the equation becomes [tex]f(x) = (x-4)^2 + 9[/tex]

Hence [tex]g(x) = (x-4)^2 + 9[/tex]

#9 HEY YOU! HELP! Translate to an equation, then solve. The product of 2, and a number increased by 6, is -24. What is the number?

Answers

2x+6=-24
6÷-24
-4
2x=-4
2÷-4
-2
x=-2
the answer is -2.

a car can travel 300 miles using 15 gallons of gas. what is the unit rate?

Answers

20 Miles = 1 Gallon of gas

Choose a method then find the product 16 times 60

Answers

you can do 16×60, or 60×16 or 60(16)

Using the multiplication method, we find that 16 times 60 equals 960.

To find the product of 16 times 60, we can use the method of multiplication. The multiplication method is a straightforward way to find the product of two numbers by multiplying each digit separately and adding the results.

1. Write down the two numbers being multiplied: 16 and 60.

2. Start by multiplying the rightmost digit of the bottom number (60) with the top number (16). In this case, multiply 0 with 16, which equals 0.

3. Write down the result (0) below the line.

4. Now, multiply the next digit of the bottom number (6) with the top number (16). Multiply 6 with 16, which equals 96.

5. Write down the result (96) below the line, shifted one position to the left.

6. Finally, add the two results together: 0 + 96 = 96.

So, the product of 16 times 60 is 960.

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5 × ⅔???????????????

Answers

5 x 2/3 = 5.333 repeatedly

3 1/3 is the mixed answer

What is the opposite of 4

Answers

negative 4 or -4 is the answer

The opposite of 4 is -4 for additivity and 1/4 for multiplicity.

In mathematical language, opposite of a number means inverse of a number and 2 inverses of the number are possible. One is additive inverse, while the other is multiplicative inverse.

To calculate an additive inverse of 4:

Let x be an additive inverse of 4, then

4+x=0

On transposing,

x=-4

Let y be multiplicative inverse of 4, then

4 x y=1

On transposing,

y=1/4

Thus, additive opposite of 4 is -4 and multiplicative opposite of 4 is 1/4.

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GUYS!!!!!!!! HELP I I'M GOING INSANE IF I DON'T FIGURE IT OUT

Answers

Answer:

[tex] {2}^{0} = 1[/tex]

[tex] {2}^{1} = 2[/tex]

[tex] {2}^{5} = 32[/tex]

[tex] {2}^{6} = 64[/tex]

Can someone help me solve this problems

Answers

x = 4 and x = - 9

In both cases the angles inside the parallel lines are same sided interior angles

24x - 1 + 20x + 5 = 180

44x + 4 = 180 (subtract 4 from both sides )

44x = 176 ( divide both sides by 44 )

x = [tex]\frac{176}{44}[/tex] = 4

Similarly

x + 109 + x + 89 = 180

2x + 198 = 180 ( subtract 198 from both sides )

2x = - 18

x = [tex]\frac{-18}{2}[/tex] = - 9


the sum of two consecutive odd integers is 284 . write a equation and solve to find the two integers

Answers

Let the consecutive odd numbers be( x) and (x+2).

According to given condition.

(x)+(x+2) =284

solving  x+x+2 =284

2x+ 2 =284

subtracting 2 both sides

2x+ 2-2 =284-2

2x =282

dividing 2 both sides

x=141

as the second integer is (x+2) so

x+2 =141+2= 143

so integers are 141 and 143.

If |n| is a positive number, then n is a negative number. Which of the following would be a counterexample?
A. –10
B. –4
C. –1
D. 10

Answers

A counterexample for the following would be D, because it is the only positive number, which is opposite of a negative number.

The counter-example is 10. the correct option is D.

What is an absolute value?

Absolute value refers to the removal of any preceding minus sign and the treatment of all numbers as positive (or zero).

Given that If |n| is a positive number, then n is a negative number.

Take all the negative values of n for the function.

|n| = |-10| = 10

|n| = |-4| = 4

|n| = |-1| = 1

|n| = |10| = 10

In the above values, the counter-example is 10 because the value is positive. After putting value in the absolute function the value will remain the same.

Therefore, the counter-example is 10. the correct option is D.

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If you are a lawyer then you passed the bar exam

Answers

conditional (original): if you are a lawyer, then you passed the bar exam

converse: if you passed the bar exam, then you are a lawyer

inverse: if you are not a lawyer, then you did not pass the bar exam

contrapositive: if you did not pass the bar exam, then you are not a lawyer


You are thinking of using a t procedure to construct a 95% confidence interval for the mean of a population. You suspect the distribution of the population is not Normal and may be skewed. Which of the following statements is CORRECT? a. You should not use the t procedure because the population does not have a
Normal distribution.
b. You may use the t procedure, provided your sample size is large, say at least 40. c. You may use the t procedure because it is robust to nonNormality.

Answers

Final answer:

The t procedure can be used to construct a confidence interval for the mean of a population, even if the population is not normally distributed.

Explanation:

The correct statement is c. You may use the t procedure because it is robust to nonNormality.

The t procedure can be used to construct a confidence interval for the mean of a population, even if the population is not normally distributed. As long as the sample size is sufficiently large (usually considered to be at least 30), the t procedure provides reliable results. It is important to note that the t procedure assumes that the sample is random and that the observations are independent.

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Whats the answer? and how do you set the problem up

Answers

-1 = 3r + 2r

-1 = 5r          Combine like terms

[tex]\frac{-1}{5}[/tex] = [tex]\frac{5r}{5}[/tex]      Divide both sides.

Final answer: -0.2 = r

hope that helps :)

Don’t get #11and12 please help me

Answers

11.

Remember that dividing by a number is the same as multiplying by its reciprocal. To get a number's reciprocal, flip the numerator and denominator around.

In this case, 3/5's reciprocal is 5/3. With this information in mind, flip 3/5 to it's reciprocal, change the division sign to multiplication, then multiply as such:

[tex]\frac{7}{8} \times \frac{5}{3}=\frac{35}{24}[/tex]

Your final answer is 35/24.

12.

Now firstly, we want to convert these mixed fractions into improper fractions. To convert them, multiply the whole number by the denominator then add the numerator and that's your new numerator. In this case:

[tex]2\frac{1}{10}=\frac{2*10+1}{10}=\frac{21}{10}\\\\1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}\\\\\frac{21}{10}\div \frac{6}{5}[/tex]

Next, we want to convert this expression to multiplication. Similar to before, convert 6/5 to its reciprocal, change the multiplication sign to division, and multiply as such:

[tex]\frac{21}{10}\times \frac{5}{6}=\frac{105}{60}[/tex]

Now you may think that 105/60 is the right answer, however we can simplify it further. The numerator and the denominator have a GCF, or greatest common factor, of 15. With this, divide the fraction by 15/15 as such:

[tex]\frac{105}{60}\div \frac{15}{15}=\frac{7}{4}[/tex]

Your final answer is 7/4.

7/8 x 5/3=35/24
That’s your answer for 11

What’s the product of -1/8x5x2/3

Answers

The answer is 26.6. Follow P.E.M.D.A.S. Withxh stands for Parenthace Exponite. Mutiply. divided. Add.Subtract. That means do the miltiplication then the division.

Select from the drop-down menus to correctly complete the proof.
To prove that 3√5 is irrational, assume the product is rational and set it equal to a/b, where b is not equal to 0. Isolating the radical gives √5= a/3b (All one fraction). The right side of the equation is [Rational or Irational]. Because the left side of the equation is [Rational or Irational], this is a contradiction. Therefore, the assumption is wrong, and the number is [Rational or Irational].

Answers

Answer:

Rational; irrational; irrational.

Step-by-step explanation:

a/3b is a rational number, as it is represented by a fraction and b ≠ 0.  This means the first blank is "rational."

√5 is an irrational number.  This means the second blank is "irrational."

Since we have an irrational number set equal to a rational number, this is a contradiction.  This means our original assumption is wrong, and the number is irrational.  This is the third blank.

There are Rational, irrational, and irrational are the correct options respectively.

What is a rational number?

A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.

It can be a/b of two integers, a numerator a, and a non-zero denominator b.

Given Number = 3√5

We have to prove that 3√5 is an irrational number.  

Let us assume 3√5 is a rational number.

Because it is represented as a fraction and b ≠ 0, a/3b is a rational number. This implies that the first blank is "reasonable."

The number √5 is irrational. This indicates that the second blank is "irrational."

This is a contradiction since we have an irrational number set equal to a rational number. This signifies that our initial assumption was incorrect, and the number is irrational.

Therefore, the assumption is wrong, and the product is irrational.

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4.9 convert it fraction

Answers

4.9 convert it fraction = 49/10

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