Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how much of the job could janice and caren do in 1 day

Answer:

Hello! answer: 432

Step-by-step explanation:

12 × 8 = 96

12 × 8 = 96

12 × 6 = 72

12 × 6 = 72

8 × 6 = 48

8 × 6 = 48

Then you add them all up so...

96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!

Answer:

x ≥5  or  5 ≤x

Step-by-step explanation:

2x ≤ 5x - 15

Subtract 5x from each side

2x-5x ≤ -15

-3x ≤-15

Divide each side by -3, remembering to flip the inequality

-3x/-3 ≥ -15/-3

x ≥5

Check x=10

2*10 ≤5*10 -15

20 ≤50 -15

20 ≤35

True

Answer:

y = 3x + 1.

Step-by-step explanation:

The slope is 3 and the y-intercept is at y = 1.

Answer:

y = 3x + b

Step-by-step explanation:

Essentially the question is asking us to find the equation of the line in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and y = y intercept

First let's find the slope

Slope = change in y over change in x

Looking at the line as y goes up 3 x goes up 1

hence slope (m) = 3/1 or just 3

Now let's find the y intercept

The y intercept is equal to the y value of the point where the line passes the y axis

The line passes the y axis at ( 0 , 1 ) and the y value of that point is 1

Hence, y intercept (.b ) = 1

Finally we substitute 3 for m and 1.for b in y = mx + b to get the equation of the line

We get y = 3x + 1.

Answer:

x = 2, P = 22 cm, A = 21 cm²

Step-by-step explanation:

The 2 legs of the triangle are congruent , then

6x - 4 = 8 ( add 4 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

perimeter = 8 + 8 + 6 = 22 cm

Area = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 7 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 7 = 3 × 7 = 21 cm²

Answer:

x = 2

Perimeter = 22 cm

Area = 21 cm²

Step-by-step explanation:

=> We know that the 2 side lengths of the given triangle are congruent, because of the congruency mark theorems, therefore to solve for x first, we can say;

6x - 4 = 8

6x = 8 + 4

6x = 12

x = 12/6

x = 2

Now that we know the side lengths of the triangles are 8, 8 and 6, we can find the perimeter;

Side 1 + Side 2 + Side 3 = Perimeter

8 + 8 + 6 = Perimeter

22 = Perimeter

Lastly to find the Area of the triangle, follow the formula of;

A = 1/2 (b * h)

A = 1/2 (6 * 7)

A = 1/2 (42)

Area = 21

Hope this helps!

Answer:

3.4 × 10^6

Step-by-step explanation:

Answer:

Two Complementary

Step-by-step explanation:

Answer:

it would be 17 if you round the answer or 17.69.

Answer:

6.3 is closest to the square root of 48

I bet you!

Answer:

6.9

Step-by-step explanation:

[tex]\sqrt{48}[/tex] =6.92820323

So, the closest is 6.9

Answer:

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Step-by-step explanation:

[tex]2x^{2} + x^{3}(\frac{6x}{10} )[/tex]

[tex]2x^{2} + x^{3}(\frac{3x}{5} )[/tex]

[tex]2x^{2} + \frac{3xx^{3}}{5}[/tex]

[tex]\\ 2x^{2} + \frac{3x^{4}}{5}[/tex]

[tex]\frac{5(2x^{2} )}{5} + \frac{3x^{4}}{5}[/tex]

[tex]\frac{5(2x^{2} )+3x^{4}}{5}[/tex]

[tex]\frac{10x^{2} +3x^{4}}{5}[/tex]

[tex]\frac{3x^{4}+10x^{2} }{5}[/tex]

Answer:

400 pages- 60 pages

340 pages

number of nights=340/34

=10 nights

answer is third option

3)34n+60=400

34n=400-60

34n=340

n=10

Answer:

x = -2 or x=-5

Step-by-step explanation:

sqrt(x+6)-4 = x

sqrt(x+6) = x+4

square both sides

x+6 = x²+8x+16

x²+7x+10 = 0

(x+2)(x+5) = 0

x = -2 or x=-5

Substitute in original equation

x=-2 +/- sqrt(-2+6)-4 = 2-4 = -2  checks

x=-5 +/- sqrt(-5+6)-4 = -1-4 = -5 checks

Answer:

The answer is 36. Say 42 + 42 is 84. Since one of the number is 6 more than the other, add 6 the first 42 and subtract 6 from the other number which will be 48 + 36 = 84. So the smaller of the two is 36.

Step-by-step explanation:

Answer:

Answer:

21

Step-by-step explanation:

Given that :

Number of rooms = 3

Variants of paint available = 7

Since the rooms will be painted with different colors :

Hence,

Number of possible paintings for kitchen = 7 (7 different paints)

This also applies to the other 2 rooms

Hence,

We have 3 * 7 = 21 color arrangements possible.

Answer:

the following is a proper fraction

4/5

Answer:

4/5 is correct answer as numerator is smaller than denominator

Answer:

Cost Price = $1800

Step-by-step explanation:

Let cost price (CP) be x

Selling price(SP) = 1998

Profit = Selling price - cost price = 1998 - x

  [tex]profit \% = \frac{SP - CP}{CP}[/tex]

       [tex]\frac{11}{100} = \frac{1998-x}{x}[/tex]

     [tex]0.11 = \frac{1998}{x} - 1\\\\1 + 0.11 = \frac{1988}{x}\\\\1.11 = \frac{1998}{x}\\\\x = \frac{1998}{1.11} = 1800[/tex]

Answer:

11

Step-by-step explanation:

Answer:

11 cm

Step-by-step explanation:

Length of the diagonal

[tex] = \sqrt{ {8}^{2} + {6}^{2} + {5}^{2} } \\ = \sqrt{64 + 36 + 25} \\ = \sqrt{125} \\ = 11.1803399 \\ \approx \: 11 \: cm[/tex]

Answer:

x = 12.1532°

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 4

Hypotenuse = 19

Step 2: Solve for x

Answer:

38

Step-by-step explanation:

Answer:

x = 18  y = 5

Step-by-step explanation:

x  + 5 = 2x - 13

x - 2x = -13 - 5

-x = -18

x = 18

2y - 2 = 4y - 12

2y - 4y = -12 + 2

-2y = -10|:(-2)

y = 5

Answer:

x = 18, y = 5, AB = 23, BC = 8

Step-by-step explanation:

The opposite sides of a parallelogram are equal, so

DC = AB , that is

2x - 13 = x + 5 ( subtract x from both sides )

x - 13 = 5 ( add 13 to both sides )

x = 18

and

BC = AD , that is

4y - 12 = 2y - 2 ( subtract 2y from both sides )

2y - 12 = - 2 ( add 12 to both sides )

2y = 10 ( divide both sides by 2 )

y = 5

Then

AB = x + 5 = 18 + 5 = 23

BC = 4y - 12 = 4(5) - 12 = 20 - 12 = 8

Answer:

32 $

Step-by-step explanation:

Answer:

15. A. Communtative

18. A. (n . 60) + (n . 5)

Step-by-step explanation:

15. Commutative property states that, if the order of positions of number is changed while performing addition or multiplication, the result remains unchanged.

18. n.65 = (n.60) + (n.5)

Answer:

Er you just multiply by 9.

Step-by-step explanation:

1*9 = 9

3*9=27

1*9=9

27*9=243

The answer:

x: 9

y: 81, 3

x*3

y/3

Answer:

Option "D" is the correct answer to the following question.

Step-by-step explanation:

Given:

Length of painting = 25 inch

Height of painting = 16 inch

Width of frame = w inch

Find:

Area of Picture with frame

Computation:

New length of painting = 25 + w + w

New length of painting = 25 + 2w inch

New height of painting = 16 + w + w

New height of painting = 16 + 2w

Area = l x b

So,

Area of Picture with frame = [25 + 2w][16 + 2w]

Area of Picture with frame = 400 + 50w + 32w + 4w²

Area of Picture with frame = 4w² + 82w + 400

Answer:

0.6858 meters

Step-by-step explanation:

Answer:

x = log 7

Step-by-step explanation:

10^x=7

Take the log base 10 on each side

log10 (10^x)=log10 (7)

We dont need to write the 10, it is implied

log(10^x)=log (7)

The exponent  goes out front since log a^b = b log a

x log 10 = log 7

log 10 = 1 since the base is 10 log10(10) =1

x = log 7

Answer:

Step-by-step explanation:

Hope this helps u!!