Solve for 3/(5w) - 2/(7w) = 1 If there is more than one solution , separate them with commas . If there is no solution , click on "No solution ".

Answer:

A. 1/8 of the semester

B. 3/20 of the semester

Step-by-step explanation:

A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units. A. What fraction of the semester should be spent on each unit?

B. The professor drops one unit. What fraction of the semester should be spent on each unit?

Solution

A.

A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units

Total semester=3/4

Total units=6 units

Fraction of the semester that will be spent on each units = 3/4 ÷ 6

=3/4 × 1/6

=3/24

=1/8

1/8 of the semester will be spent on each units

B. If the professor drops one unit

That is 6 units - 1 unit = 5 units

Fraction of the semester that will be spent on each units=3/4 ÷ 5

=3/4 × 1/5

=3/20

Answer:

Line of course! So its B

Answer:

Equation A doesn't have a rational solution

Step-by-step explanation:

Notice that the solutions for equation A is:

[tex]x^2=2\\x=+/- \sqrt{2}[/tex]

and [tex]\sqrt{2}[/tex] is an irrational number

The other equations have rational solutions:

Equation B:  x = 1 and x = -1 are solutions (both rational numbers)

Equation C:  x = 0 is the solution (rational number)

Equation D : x = 0 is the solution. (rational number)

Answer:

$0.75 per candy bar

Step-by-step explanation:

For this problem, we simply need to set up a system of equations to find the value of a drink, and the value of a candy bar.

Let x represent the cost of a candy bar, and y represent the cost of a drink.

60x + 110y = 265

120x + 90y = 270

Now let's use the elimination method to solve for one of the variables:

60x + 110y = 265 --> -2 ( 60x + 110y = 265 ) --> -120x + -220y = -530

-120x + -220y = -530

120x + 90y = 270

-130y = -260

y = 2

Now plug the value of y into one of the equations to find the value for x:

60x + 110y = 265

60x + 110 (2) = 265

60x + 220 = 265

60x = 45

x = 45 / 60

x = 0.75

With this, we know that the cost of a candy bar is $0.75 and the cost of drink is $2.00.

Cheers.

Answer:

A, B, D, and E

Step-by-step explanation: Hope it helps ^w^

Step-by-step explanation: I hope this helps.

Answer:

Answer:

X^2 +4y-2

Step-by-step explanation:

Substraction gives the difference between two points or two positions.

We were told to substraction 4x2 - 3y + 4, from (3x2 - 7y + 6)

Then we can say

(4x2 - 3y + 4) -(3x2 - 7y + 6)

If we open the bracket we have

4x2 - 3y + 4 - 3x2 + 7y - 6

Then if we collect like terms we have

4x2 - 3x2 -3y +7y +4 -6

Then we have

X^2 +4y-2

Hence the substraction between 4x2 - 3y + 4, and (3x2 - 7y + 6)

gives us X^2 +4y-2

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]

[tex] \frac{sin(B)}{24} = \frac{sin(82)}{29} [/tex]

[tex] sin(B)*29 = sin(82)*24 [/tex]

[tex] \frac{sin(B)*29}{29} = \frac{sin(82)*24}{29} [/tex]

[tex] sin(B) = \frac{sin(82)*24}{29} [/tex]

[tex] sin(B) = 0.8195 [/tex]

[tex] B = sin^{-1}(0.8195) [/tex]

[tex] B = 55.0 [/tex]

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]

[tex] \frac{a}{sin(43)43} = \frac{24}{sin(55)} [/tex]

Cross multiply

[tex] a*sin(55) = 25*sin(43) [/tex]

[tex] a = \frac{25*sin(43)}{sin(53)} [/tex]

[tex] a = 20 [/tex] (approximated)

Answer:

20.0

Step-by-step explanation:

I got it correct on founders edtell

Work Shown:

T = C(3 + AB)

T = 3C + ABC .... distribute

3C + ABC = T

ABC = T - 3C ... subtract 3C from both sides

(AC)*B = T - 3C

B = (T - 3C)/(AC) .... divide both sides by AC

Answer:

T-AB-3=0

Step-by-step explanation:

Answer:

trinomial

Step-by-step explanation:

-x² - 1/2 + x

if you are asking for the specific name, it is a trinomial because there are 3 terms.

Answer:  The x intercepts are -1 and -5  or  (-1,0)   and ( -5,0)

Step-by-step explanation:

Finding the x intercepts of  a parabola is the same as finding the roots of a parabola because the x intercept is when y or g(x) is equal to zero. So set the equation equal zero.

[tex]-x^{2} -6x -5 = 0[/tex]          First  divide each term by 0 to get the largest degree coefficient to equal 0.

x^2 + 6x +5 = 0         Now find two numbers that their product is 5 and their sum is 6.  The numbers 5 and 1 works out because the 5 times 1 is 5 and 5 plus 1 is 6.

Rewrite the whole equation as

x^2 + 1x+5x +5 = 0     Now factor the left side by grouping

x(x+1) 5(x+1) = 0         Factor out x+1

(x+1) (x+5) = 0       Now use the zero product by setting each of them equal zero.

x+ 1 = 0    or    x+5 = 0

    -1    -1               -5  -5

x = -1      or  x = -5

Answer:

                [tex]\bold{x=\dfrac3{7k}}[/tex]

Step-by-step explanation:

1kx + 13kx  =  6

   14kx  =  6

÷(14k)      ÷(14k)

x = 6/(14k)

x = 3/(7k)

Answer:

Step-by-step explanation:

Given  the following angles ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21, the expression is true about the angles;

∠AOC = ∠BOC+∠AOB

Substituting the given values into the expression, we will have;

21 = x+3+4x-7

collect the like terms

21 = x+4x+3-7

21 = 5x-4

Add 4 to both sides

21+4 = 5x-4+4

25 = 5x

Divide both sides by 5

5x/5 = 25/5

x = 5

Hence the value of x is 5

Answer:

Its 11

Step-by-step explanation:

put 2 ones together and u get 11

-Big Brain Moment-

IT TOOK SO LONG FOR ME TO GET THE ANSWER TO THIS QUESTION

4(4)+2(6)-(-2)  

16+2(6)-(-2)

multiply 2 by 6

16+12-(-2)

multiply -1 by -2

16+12+2

add 16 and 12

28+2

add 28 and 2

30

so your answer is 30

Answer:

Step-by-step explanation:

[tex] ({64 {x}^{3} })^{ \frac{1}{3} } [/tex]

To solve the expression convert 64 to exponential form

That's

64 = 4³

So we have

[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } [/tex]

Using the rules of indices

That's

[tex]( { {a}^{x} {b}^{y} })^{z} = {a}^{x \times z} . {b}^{y \times z} [/tex]

So for the above expression we have

[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } . {x}^{3 \times \frac{1}{3} } [/tex]

Simplify the expression

We have the final answer as

Hope this helps you

Answer:

D. h(x) = 4(x - 5)² - 18

Step-by-step explanation:

Answer:

The other number is 4/3

Step-by-step explanation:

Let the unknown number be x

Translate the equation :

[tex] - \frac{4}{3} \times x = - \frac{16}{9} \\ - \frac{4}{3} x = - \frac{16}{9} \\ [/tex]

Cross multiply

[tex] - 4x \times 9 = 3 \times - 16 \\ - 36x = - 48[/tex]

Divide both sides by -36

[tex] \frac{ - 36x}{ - 36} = \frac{ - 48}{ - 36x} \\ x = \frac{4}{3} [/tex]

Answer:

$490 is the retail price

Step-by-step explanation:

75% = [tex]\frac{3}{4}[/tex]

[tex]\frac{280}{4} = 70[/tex]

[tex]70(3)=210[/tex]

[tex]280+210=490[/tex]

The retail price will be; 490 dollar.

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

We are given that Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce.

The mark-up rate = 75% of the cost to produce.

Retail price = cost price + 75 % of cost price

Therefore,

Retail price = 280 + 75 % of 280

Retail price = 280 + 0.75 x 280

Retail price = 280 + 210

Retail price = 490

Thus, retail price is $ 490

Learn more about markup and markdown here:

https://brainly.com/question/27215448

#SPJ6

Answer:

1)3x+3

2)x+1

Step-by-step explanation:

1)consecutive integer = x and x+1 and x+2

x+x+1+x+2= 3x+3

2)average= total sum/number of numbers involved.

average = 3x+3

3

= x+1

Answer:

4p+3

Step-by-step explanation:

4p+6+-3

[4p]+[6+-3]

4p+3

Answer:

  $57,700

Step-by-step explanation:

The deductions are ...

  for pension and employment insurance, (5+2.4)% of $70,000

     = 0.074 × $70,000 = $5,180

  for income tax, ...

     8% of the 14,000 between $11,000 and $25,000 = $1,120

     12% of the 25,000 between $25,000 and $50,000 = $3,000

     15% of the 20,000 between $50,000 and $70,000 = $3,000

Then the total of deductions is ...

  $5,180 +1,120 +3,000 +3,000 = $12,300

Net salary after these deductions is ...

  $70,000 -12,300 = $57,700

Answer:

7

Step-by-step explanation:

a = 3, b=2 and c = -3

● -a^2 - 3b^3 + c^2 + 2b^3 -c^2

● -a^2 - b^3

● -(3)^2 + 2×2^3

● -9 + 16

● 7

Answer:

-35

Step-by-step explanation:

-3^2-3(2^3)-3^2 + 2(2^3)-3^2

Answer:

31

Step-by-step explanation:

=3^2+(8-2)x4-6/3​

=9+6 x 4 - 2

=9+24-2

=31

Answer:

31

Step-by-step explanation:

9+6*4-6/3

9+6*4-2

9+24-2

31

Answer:

(1) The sum of the lengths of the edges of the cube is 36.

A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3

Volume = 3*3*3 = 27

(2) The surface area of the cube is 54.

A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)

6s^2 = 54

s = 3

Volume = 3*3*3 = 27

Step-by-step explanation:

All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.

To show how,

(1) The sum of the lengths of the edges of the cube is 36.

A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3

Volume = 3*3*3 = 27

(2) The surface area of the cube is 54.

A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)

6s^2 = 54

s = 3

Volume = 3*3*3 = 27

Answer:

   11

  ----  

   4

Step-by-step explanation:

11       1

---  ÷ ----

12     3

just flip the 1/3 = 3/1 then multiply.

11       3         33        

---  x  ----  =  -----   just simplify if needed

12      1          12      

                     11

therefore    -----  

                     4

Answer:

66%

Step-by-step explanation:

50 - 17 = 33, so that is the difference between the two numbers. Percent change is the change over the original, so 33/50. 33/50 equals 66/100, so the percent change is 66%

Answer:

the answer is 516

Step-by-step explanation: