Select the correct answer

if Georgia and Farrah work together, it takes them 8 minutes to clean the espresso machine at their coffee shop Alone, Farrah takes 12 minutes
less than Georgia to clean the machine if x is the number of minutes it takes Georgia to clean the machine by herself, the situation can be
represented by this equation
How long does it take Georgia to clean the espresso machine by herself?

4 minutes
10 minutes
20 minutes
24 minute

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

Answer:

What the other guy said

Step-by-step explanation:

Answer:

w ≥ 1

Step-by-step explanation:

Given

5w ≥ - 6w + 11 ( add 6w to both sides )

11w ≥ 11 ( divide both sides by 11 )

w ≥ 1

Answer:

0.9844

Step-by-step explanation:

This is a binomial probability problem.

Probability of getting a correct answer: p = 1/4

Probability of getting an incorrect answer: q = 3/4

Number of questions; n = 3

Thus;

probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)

From binomial probability the formula is;

P(X = x) = C(n, x) × p^(x) × q^(n - x)

P(X = 2) = C(3, 2) × (¼)² × (¾)¹

P(X = 2) = 3 × 0.0625 × 0.75

P(X = 2) = 0.1406

P(X = 1) = C(3, 1) × (¼)¹ × (¾)²

P(X = 1) = 3 × 0.25 × 0.5625

P(X = 1) = 0.4219

P(X = 0) = C(3, 0) × (¼)^(0) × (¾)³

P(X = 0) = 0.4219

P(x ≤ 2) = 0.1406 + 0.4219 + 0.4219

P(x ≤ 2) = 0.9844

Answer:

the measurement of x is 30 degrees

Answer:

Because he has to send one more parcel than the estimation.

Step-by-step explanation:

Answer:

um with what plz tell for I can help you

The Answer is:  x = 3

Answer: A. x = 3 is the right one!

Answer:

7 / 1/3

Step-by-step explanation:

Answer:

BD = 22, DC = 11√3

Step-by-step explanation:

In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 45 + 90 = 180

∠A + 135 = 180

∠A = 45°

Using sine rule to find BC:

[tex]\frac{BC}{sinA}=\frac{AB}{sinC} \\\\\frac{BC}{sin45}=\frac{11\sqrt{2} }{sin90} \\\\BC=\frac{11\sqrt{2}*sin45 }{sin90} \\BC=11[/tex]

In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:

∠D + ∠B + ∠C = 180° (sum of angles in a triangle)

∠B + 30 + 90 = 180

∠B + 120 = 180

∠B = 60°

Using sine rule to find BD:

[tex]\frac{BD}{sinC}=\frac{BC}{sinD} \\\\\frac{BD}{sin90} =\frac{11}{sin30} \\\\BD=\frac{11*sin90}{sin30}\\\\BD=22[/tex]

Using sin rule to find DC:

[tex]\frac{DC}{sinB}=\frac{BC}{sinD} \\\\\frac{DC}{sin60} =\frac{11}{sin30} \\\\DC=\frac{11*sin60}{sin30}\\\\DC=11\sqrt{3}[/tex]

Answer:

105

Step-by-step explanation:

Hello There!

(Let x = angle T)

if you didn't know an exterior angle of a triangle is equal to its two opposite interior angles

So basically

155 (being the exterior angle) is equal to 50 + x (being the opposite interior angles)

so x = 155 - 50

155 - 50 = 105

so we can conclude that x (angle T) equals 105

Answer:

105 degrees

Step-by-step explanation:

The angle measure of the exterior angle is equal to the sum of the two nonadjacent interior angles (angle V and angle T).

155 - 50 = 105

Answer:

it is D hope this helps

Step-by-step explanation:

Answer:

x^2 - 4x - 3 + 28/x+4

Step-by-step explanation:

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

Answer:

D) 22

Step-by-step explanation:

Since it gives you two rays just set them equal and solve for X.

6x - 14 = 3x +4

      +14        +14

6x = 3x + 18

-3x   -3x

3x = 18

/3    /3

x = 6

Then plug x into either one of the equations

6(6) - 14

36 - 14

22

Answer:

D. 22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average salary = ($65,000 + $72,000 + ... + 88,500 )/5 = $77,100

5% of $77,100 = $3,855

15 years * $3,855/year = $57,825

Answer:

37.3

Step-by-step explanation:

Answer:

37.29

Step-by-step explanation:

Answer:

25.1327412287

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/5 = 0.6

1 - 0.6 = 0.4 students left

Multiply the amount of students remaining by the fractional amount that take German

0.4  x  1/4   =   0.1

1 - 0.6 - 0.1 = 0.3

0.3 x 100 = 30%

Therefore 30% of students take French

Answer:

181 1/4 square feet

Step-by-step explanation:

The square feet of carpet is needed to cover the floor would b equal to the area of the floor

area of a rectangle = length x breadth

12 1/2‘ x 14 1/2 = 181 1/4 square feet

Answer:

x₂ = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)

m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is

[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(x₂ - 9) = - 60 ( divide both sides by 5 )

x₂ - 9 = - 12 ( add 9 to both sides )

x₂ = - 3

Answer:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

Answer:

d

Step-by-step explanation:

IT is d bc Some Bollywood films are popular with non Indian audiences.

Answer:

19

Step-by-step explanation:

straight line=180°

180-123=57

57/3=19

19*3=57