Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?

Answer: The results ARE NOT significantly HIGH so there IS NOT sufficient evidence to support the claim that most adults would erase all their personal information online if they could.

Step-by-step explanation:

To find 49.5% of 604-

49.5 ÷ 100 = 0.495

0.495 x 604 = 298.98 = 299 (I have rounded to make the estimate easier)

When someone say MOST, it usually means more than half of the total. If I divide 604 by 2 (basically halving it) it gives me 302.

299 is close enough to 302, but even if got 302 as my first result instead of 299, it is still too less to be called MOST. Therefore,

The results ARE NOT significantly HIGH so there IS NOT sufficient evidence to support the claim that most adults would erase all their personal information online if they could.

Hope this helps :)

Answer:

y = 2x - 1

Step-by-step explanation:

(3, 5) (5, 9)

slope = (9-5)/(5-3) = 4/2 = 2

y = mx + b

5 = 2(3) + b

-1 = b

y = 2x -1

Answer:

f(x)=2x-1; y=2x-1

Step-by-step explanation:

First we need to find the slope and to do so you use the equation [tex]\frac{y_{1} -y_{2}}{x_{1}-x_{2}}[/tex] .

Plugging in for the values we get (9-5)/(5-3)=4/2=2, which means we have a slope of 2.

Now we just have to find the y-intercept, and to do this we multiply the x-value by the slope (2) and see what we have to add to that to get the y-value.

For example, 5*2=10, 10-1=9, so -1 is our y-intercept.

This means our equation in slope-intercept form is y=2x-1 and in function form is f(x)=2x-1

Answer:

a) Economic order or production quantity = 2,500 tires.

Number of production runs in a year = 50 runs

Hence, 2,500 tires should be produced in each of the 50 runs in a year to minimize total cost.

b) Minimum total inventory cost = Tsh 30,000

Step-by-step explanation:

The total cost for the tire production firm will be a sum of the total production cost and total inventory cost.

Total cost = Total Production cost + Total inventory cost

Total Production Cost = (Number of production runs in a year) × (Setup Cost of one production run)

Number of production runs in a year = (Annual demand)/(Number of units produced per production run)

Let the annual demand = D

Number of units produced per production run = Q

Setup Cost of one production run = S

Number of production runs in a year = (D/Q)

Total Production Cost = (DS/Q)

Total inventory Cost = (Average inventory level) × (Cost of holding 1 unit in inventory)

Average inventory level is usually assumed to be half of the number of units in a production run = (Q/2)

Cost of Holding a unit of product in inventory = H

Total inventory Cost = (QH/2)

Total cost = TC = (DS/Q) + (QH/2)

At minimum cost, (dTC/dQ) = 0

(dTC/dQ) = -(DS/Q²) + (H/2) = 0

(DS/Q²) = (H/2)

Q² = (2DS/H)

Hence,

Economic order/production quantity = Q = √(2DS/H)

For this question

D = Annual demand = 125,000 tires

S = Setup cost for one production run = Tsh 600

H = Holding cost for one unit in inventory = Tsh 24

Q = √(2×125000×600/24) = 2,500 units

Number of production runs in a year = (D/Q) = (125000/2500) = 50 production runs.

b) Total Inventory Cost = (QH/2)

At minimum total inventory cost, Q = 2,500

Minimum total inventory cost = (2500×24/2) = Tsh 30,000

Hope this Helps!!!

Answer:

The first table. (By that, I am referring to the table directly under the question)

Step-by-step explanation:

A function has only one y value for every x value. Thus, for example the coordinates (-5, -5) and (-5, 5) could not be a function.

Answer:

cD /100

Step-by-step explanation:

Change the percent to a fraction

c% = c/100

Multiply by the sale

D * c/100

cD /100

Answer:

52.02 ft

Step-by-step explanation:

We can use equation tan θ = opposite/adjacent   to solve for the opposite side x.

tan40° = x / 62

62tan40° = x

x = 52.02 ft

The solution is Option A.

The height of the tree is given by x = 52.02 ft

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔABC

Let the height of the triangle ABC be = x

Now , the base of the triangle ABC is BC = 62 feet

The angle of elevation is θ = 40°

Now , the height of the tree is the height of the triangle ABC and is given by the trigonometric relation ,

tan θ = opposite / adjacent

Substituting the values in the equation , we get

tan θ = x / 62

tan 40° = x / 62

Multiply by 62 on both sides of the equation , we get

x = tan 40° × 62

x = 0.83909963117 × 62

The value of x = 52.024 feet

Therefore , the value of x is 52.02 feet

Hence , The height of the tree is given by x = 52.02 ft

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Answer: The factorization of  [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]

The factors of [tex]28+56t+28w[/tex] are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : [tex]28+56t+28w[/tex]

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

[tex]28+2\times28t+28w[/tex]

Now, taking 28 as common from all the terms, we will get

[tex]28(1+2t+w)[/tex]

Thus, the factorization of  [tex]28+56t+28w[/tex] [tex]=28(1+2t+w)[/tex]

And the factors of  [tex]28+56t+28w[/tex] are 28 and 1+2t+w.

Answer:

b&d

Step-by-step explanation:

i did khan on it and got it right

Answer:D

Step-by-step explanation:

they are going up in a steady pace so they are proportional, hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

Geometric Sequence

Step-by-step explanation:

Since we are multiplying each successive term by common ratio r of -2, we have our sequence:

[tex]a_n = 2.4(2)^{n-1}[/tex]

Answer:

They're multiplied by -2.

Step-by-step explanation:

If we analyze the terms in the sequence, we can see that the numbers are alternating between positive and negative values. So, the terms in the sequence have to do with multiplication and division instead of addition and subtraction.

In order to find out how much each value was multiplied, we need to divide.

-4.8 / 2.4 = -48 / 24 = -2

9.6 / -4.8 = 96 / -48 = -2

-19.2 / 9.6 = -192 / 96 = -2

All of the terms appear to be multiplied by the same term: -2. So, the relationship between the successive terms in the sequence shown is that they are all multiplied by -2.

Hope this helps!

A) Relative frequency is number of times an event happened over total number of events:

Answer is 21/50 = 0.42

B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50

C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.

Answer:

[tex]-4x^3 - 32x[/tex]

Step-by-step explanation:

We can multiply -4x by both terms inside the parentheses.

[tex]-4x \cdot x^2 = -4x^3[/tex]

[tex]-4x \cdot 8 = -32x[/tex]

Hope this helped!

Answer:

-4x^3-32x

Step-by-step explanation:

-4x(x^2+8)=

-4x^3-32x

Hey there! :)

Answer:

First part: 2 miles.

Second part: 45 minutes

Third part: 8 mph.

Step-by-step explanation:

We can divide this question into 3 parts.

Begin by solving for the distance traveled after 15 minutes by creating a ratio:

[tex]\frac{20 mi}{150min} = \frac{x}{15 min}[/tex]

Cross multiply:

20 · 15 = 150 · x

300 = 150x

300/150 = 150x/150

x = 2 miles.

2nd part: How long it took her to ride 6 miles.

Set up another ratio similar to the one used before:

[tex]\frac{20 mi}{150min} = \frac{6mi}{x min}[/tex]

Cross multiply:

20 · x = 6 · 150

20x = 900

20x/20 = 900/20

x = 45 minutes.

3rd part:

For this part, we will need to convert from minutes to hours.

[tex]\frac{20 mi}{150 min}* \frac{60 min}{1 hr} = \frac{1200mi}{150hr} = 8 mi/h[/tex]

Therefore, her speed is 8 mph.

Answer:

a. $4.00

b. $20.00

c. $ 5000

Step-by-step explanation:

a. The given information are;

The number of tickets sold = 2000

The price of tickets sold = $24

The number extra tickets sold per decrease in price = 125

Let the number of tickets sold = y

The price of each ticket = x

Therefore, given that the fund-raising coordinator estimates that the number of tickets sold vary proportionately with the price of the ticket, we have a linear relationship of the form;

y = mx + c

Where:

m = The slope which is change in y divided by change in x

Change in y = 125

Change in x = -1

m = 125/(-1) = -125

Where the change in y = y - 2000 and change in x = x - 24

we have for a linear straight line relation;

(y - 2000)/(x - 24) = m

Which gives

y - 2000 = -125(x - 24)

y - 2000 = -125·x + 3000

y  = -125·x + 3000 + 2000 = -125·x + 5000

The revenue = Price × Quantity sold = x × y

Where y = -125·x + 5000, we have

Revenue = x×(-125·x + 5000) = -125·x² + 5000·x

The maximum revenue occur at the point where the slope of the revenue = 0, which is d(yx)/dx =d(-125·x² + 5000·x)/dx = -250·x +5000 = 0

x = -5000/(-250) = 20

Therefore, the price that gives maximum revenue = $20 which is a decrease of $24 - $20 = $4.00

b. The price that will maximize the revenue = $20

c. The quantity sold at maximum revenue = -125 × 20 + 5000 = 2500

The maximum revenue = 2500 × 20 = $5000.00

Answer:

B. (3,-1)

Step-by-step explanation:

Well we have to find the ordered pair that is in the blue.

So let’s look at all the choices.

A. (-4,2) this is on the point where both lines connect but it is not a solution.

B. (3,-1) this is in the blue so it is correct.

C. (-3,4) it is in the white so it is not correct.

D. (-2,-1) This is completely out of the blue so it it wrong.

So B. (3,-1) is the correct answer.

Hey there! :)

Answer:

x = 4, y = -18 or (4, -18).

Step-by-step explanation:

Given:

5x + y = 2

2x - 3y = 62

We can use substitution to solve this problem. Rearrange the first equation in terms of y:

5x + y = 2 ---> y = -5x + 2

Substitute in this equation for y into the second equation:

2x - 3(-5x + 2) = 62

Distribute -3:

2x + 15x  - 6 = 62

Combine like terms:

17x - 6 = 62

Add 6 to both sides:

17x = 68

Divide both sides by 17:

x = 4.

Plug in this value for x into an equation to solve for y:

5(4) + y = 2

20 + y = 2

y = -18.

Therefore, the solutions to this system of equations are:

x = 4, y = -18 or (4, -18).

Answer:

a = - 13, b = - 10

Step-by-step explanation:

Given that x = - 1 and x = - 2 are zeros then

f(- 1) = 0 and f(- 2) = 0, that is substituting value into the polynomial

f(- 1) = (- 1)³ - 2(- 1)² - a + b = 0 , that is

- 1 - 2 - a + b = 0

- a + b = 3 → (1)

f(- 2) = (- 2)³ - 2(- 2)² - 2a + b = 0, that is

- 8 - 8 - 2a + b = 0

- 2a + b = 16 → (2)

Multiply (1) by - 2

2a - 2b = - 6 → (3)

Add (2) and (3) term by term to eliminate a

- b = 10 ( multiply both sides by - 1 )

b = - 10

Substitute b = - 10 into (1) and evaluate for a

- a - 10 = 3 ( add 10 to both sides )

- a = 13 ( multiply both sides by - 1 )

a = - 13

Answer:

32

Step-by-step explanation:

The additive inverse means, the opposite sign,

for example the additive inverse means -2 turns into 2.

So -32 would be 32.

Answer:

[tex]\boxed{x=32}[/tex]

Step-by-step explanation:

The additive inverse of a number is the opposite of that number.

-32 opposite is 32.

Answer:

Step-by-step explanation:

4x+8=6x-1

-4x .  =-4x .

   8  = 2x-1

  -1+8=2x-1+1

    7=2x

7/2= 2x/2

3.5=x

The value of x will be;

⇒ x = 9/2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4x + 8 = 6x - 1

Now,

Solve the expression for x as;

⇒ 4x + 8 = 6x - 1

Subtract 6x both side, we get;

⇒ 4x + 8 - 6x = 6x - 1 - 6x

⇒ - 2x + 8 = - 1

Subtract 8 both side,

⇒ - 2x = - 1 - 8

⇒ - 2x = - 9

Divide by - 2 as;

⇒ x = 9/2

Thus, The value of x will be;

⇒ x = 9/2

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I totally typed the right answer for the wrong question sorry

Answer:

1. 29.44 feet.

2. 2/3.

3. 10/9.

4. 39/5.

Step-by-step explanation:

1. 34-foot ladder makes a 60 degree angle with the ground. If you visualize a 30-60-90 triangle with the ladder and the building and the ground, you can see that the hypotenuse of the triangle is 34 feet.

With 30-60-90 triangles, the short side is x, the hypotenuse is 2x, and the long side is x and the square root of 3.

If the hypotenuse is 34 feet, that must mean that the short side is 34 / 2 = 17 feet. The long side will be 17 * sqrt(3) = 17 * 1.732050808 = 29.44486373. So, the height above the ground will be about 29.44 feet.

2. Tangent of A! For this, we will use SOH CAH TOA... TOA stands for tangent: opposite over adjacent.

According to the diagram, angle A has an adjacent side of 15 units and an opposite side of 10 units. That means that tanA = 10 / 15 = 2/3.

If you want to find the measure of angle A, you can easily find the cotangent of 2/3. That is 33.69006753, or about 34 degrees.

3. The ratio should be 5 feet to 54 inches. There are 12 inches in 1 foot, so 5 feet is the same thing as 60 inches. 60 / 54 = 30 / 27 = 10/9.

4. (p + 9) / 7 = 12 / 5

5(p + 9) = 12 * 7

5p + 45 = 84

5p = 39

p = 7.8

That is the same thing as 7 and 4/5, or (35 + 4)/5 = 39/5

Really hope this helps!!

Answer to #4:a=−p2+84/p (note:the p2 is p to the exponent of 2, not p times 2)

Explanation:

Step 1:Multiply both sides by p

1/7ap+1/7p2=12

Step 2:Step 2: Add (-1)/7p^2 to both sides.

1/7ap+1/7p2+(−1/7p2)=12+(−1/7p2)1/7ap=−1/7p2+12

1/7ap=−1/7p2+12

Step 3: Divide both sides by p/7. and you get..

a=−p2+84/p

note:the p2 is p to the exponent of 2, not p times 2

Answer:

28x^2

Step-by-step explanation:

Set variables:

Width = w

Length = x

Height = h

Set Equation:

w = 2h = 4x

h = 2x

x=x

Now that we have the terms in terms of x, we can find surface area.

We find the first three then multiply answer by 2, because there are 6 sides.

w*h -> first side

w*x -> second side

h*x -> third side

Set them in terms of x:

4x*2x = 8x^2

4x*x = 4x^2

2x*x = 2x^2

Add them and get: 14x^2

Wait, you need to multiply them by 2 and get: 28x^2

Answer: The answer is in the photo I really hope it’s right

Step-by-step explanation: I don’t need a brainly(I’m joking)

Hahahaha I know it’s not the best

Answer:

335.5. Is there not a symbol that goes in the middle of the two brackets?

Step-by-step explanation:

Answer:

Hello!

_____________________

(3.5+2)(345-4)= 1875.5

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

The correct answer is Yes, because there is enough water in the cooler for about 81 cups total which is C.

Step-by-step explanation:

The water available, (approximately 81 cups) is more than the number of cups required (76 cups). Therefore, option C is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a cylindrical cooler that has a radius of 6 inches and a height of 20 inches.

Here, volume of cylindrical cooler =πr²h

= 3.14×6²×20

= 3.14×36×20

= 2260.8 cubic inches

A cone has a dimensions diameter 4.4 inches and height 5.5 inches.

Here, volume of cup = 1/3 πr²h

= 1/3× 3.14×(4.4/2)²×5.5

= 28 cubic inches

So, number of cups = 2260.8/28

= 80.74

≈ 81

The number of cups required for each of the 38 player to have two full cups is, Cups = 38 × 2 = 76 cups

Therefore, option C is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

During practice, the Northwood football team drinks water from a cylindrical cooler that has a radius of 6 inches and a height of 20 inches. Players use conical paper cups, as shown below. A cone has a dimensions diameter 4.4 inches and height 5.5 inches.

If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain 4.4 in.

A) No, because there is enough water in the cooler for about 3 cups total.

B) No, because there is enough water in the cooler for about 59 cups total 5.5 in.

C) Yes, because there is enough water in the cooler for about 81 cups total.

D) Yes, because there is enough water in the cooler for about 2,261 cups total.

Answer:

[tex]\boxed{\red{ \frac{11}{5} = 2 \frac{1}{5} }}[/tex]

Answer B is correct.

Step-by-step explanation:

[tex]2 \frac{3}{4} \times \frac{4}{5} \\ \frac{11}{4} \times \frac{4}{5} \\ \frac{44}{20} \\ = \frac{11}{5} = 2 \frac{1}{5} [/tex]

Answer:

Hello!

_____________________

Exact Form: [tex]\frac{11}{5}[/tex]

Decimal Form: 2.2

Mixed Number Form: [tex]2\frac{1}{5}[/tex]

Step-by-step explanation: Simplify the expression.

So your anwser woould be ( B ) 2 1/5

Hope this helped you!

:D

Answer: C) 5

Step-by-step explanation:

First let's distribute the left side of the equation.

2/3a - 9 1/3 = -3(a-3)

Then let's distribute the right side of the equation.

2/3a - 9 1/3 = -3a + 9

Then let's move all the a's to one side, and all the constants to the other.

3 2/3a = 18 1/3

Then divide both sides of the equation by 3 2/3.

a = 5

Hope it helps <3

Answer:

Segment EH and segment E prime H prime both pass through the center of dilation (A)

The complete question related to this found on brainly (ID:16812154) is stated below:

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?

E(0,5) F(1,1) G(-2,1) H(0,1)

a) segment EH and segment E prime H prime both pass through the center of dilation.

b)The slope of segment EF is the same as the slope of segment E prime H prime.

c) segment E prime G prime will overlap segment EG. segment

d) EH ≅ segment E prime H prime.

Step-by-step explanation:

∆EFG = Original image

∆EFG is dilated to give ∆E'F'G'

∆E'F'G' = New image

Scale factor = 3

Center of dilation = (0,1) = H(0,1)

Coordinates ∆EFG : E(0,5) F(1,1) G(-2,1)

To determine the statement that is true about the dilation from the options,

First we would make a diagram on the coordinates of ∆EFG and center of dilation (H).

Find attached the diagram.

Length GF = 3unit

Length G'F' = 3×scale factor = 9unit

Length EH = 4unit

Length E'H' = 4×scale factor = 12unit

Then we would move 3units to the left on same line from G to get the coordinate of G'(mark the point).

Also move 3units to the right on same line from F to get the coordinate of F'(mark the point).

Both of these give length of G'F' = 9unit

Now move 8units to the top from E to get the coordinate of E'(mark the point).

From this you get length E'H' = 12unit

Draw lines connecting the three points to get ∆E'F'G'

See diagram for better understanding

From the diagram, EH and E'H' both pass through (0,1). The other options are wrong.

Therefore, Segment EH and segment E prime H prime both pass through the center of dilation (A)

Answer: Segment EH and segment E prime H prime both pass through the center of dilation.

Step-by-step explanation:

Took the test!

Hey there! :)

Answer:

g(x) = (x + 9)²

Step-by-step explanation:

If we look at the graph g(x), we can see that its vertex is at (-9, 0).

Recall the transformation form of a parabola is f(x) = ±a(b(x-h))+k where (h , k) are the coordinates of the vertex. In this instance it is (-9, 0), therefore:

g(x) = (x + 9)²

Answer:

$64222.22

Step-by-step explanation:

If we call the original value as x, we can write:

1445 = x * (0.15)²   (Note: We write 1 - 0.85 = 0.15 and not 0.85 because 0.85 is the decay factor)

1445 = 0.0225x

x ≈ 64222.22

Answer:

Step-by-step explanation:

Let the original value be $ X

Decay factor = 0.85

Time = 2 years

Reduced value = $ 1445

Now,

Reduced value = original value * (decay)[tex] {}^{number \: of \: years} [/tex]

Plug the values

[tex]1445 = x \times {(0.85)}^{2} [/tex]

Evaluate the power

[tex]1445 = x \times 0.7225[/tex]

[tex]x = \frac{1445}{0.7225} [/tex]

Calculate

[tex]x = 2000[/tex]

Hope this helps...

Best regards!!

Answer:

Correct answer is option D) drawing the 6 of clubs or the 6 of spades

Step-by-step explanation:

Given that:

A standard deck of 52 playing cards with 4 suits.

A be the event of drawing a card with 6 from the deck.

B be the event of drawing a black card from the deck.

So, event A will have 4 possibilities i.e. {6 of club, 6 of spade, 6 of diamond, 6 of heart}

And event B will have 26 possibilities {Any card (including 6) from club or spade}

Intersection of two sets is defined as the common elements in the two sets.

As per the explanation of the sets and elements in the sets given above:

If we take intersection it will be:

{6 of club or 6 of spade}

Hence, Correct answer is option D) drawing the 6 of clubs or the 6 of spades

Answer:

drawing the 6 of clubs or the 6 of spades is the right answer

Step-by-step explanation:

Hi

I am new here

Answer: 1.25

Step-by-step explanation: This symbol is multiplication (*) so Multiply 5 by 0.25 you will get 1.25

Hope it helps you

Answer:

Hello!

________________________

5 x 0.25 = 1 .25

Step-by-step explanation: Multiply 5 by 0.25 and you'll 1.25.

Hope this helped you!

:D