If Damian is able to read 80 pages in 2 hours how long does it take for him to reach each page

Answer:

f = 1/8

Step-by-step explanation:

f x 4 = 1/2

f = 1/8  ( multiplying both sides by 1/4 )

The fraction f that gives 1/2 when multiplied by 4 is 1/8.

That is, f = 1/8

A fraction f multiplied by 4 equals 1/2

This can be written mathematically as:

[tex]f \times 4 = \frac{1}{2}[/tex]

This can be re-written as:

[tex]4f=\frac{1}{2}[/tex]

Divide both sides by 4

[tex]\frac{4f}{4} =\frac{1}{2} \div 4\\\\f= \frac{1}{2} \times \frac{1}{4}\\\\f=\frac{1}{8}[/tex]

The fraction f that gives 1/2 when multiplied by 4 is 1/8.

That is, f = 1/8

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The original price of jacket was $180

Step-by-step explanation:

Markdown is the money that is reduced on an item on sale.

Given

Markdown = $63

Percentage = 35%

Let x be the price of the jacket

Then the percentage formula will be sued to find the price of the jacket

[tex]Markdown= 35\%\ of\ x\\63 = 0.35 * x\\x = \frac{63}{0.35}\\x = 180[/tex]

Hence,

The original price of jacket was $180

Keywords: Percentage, Mark up, mark down

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Answer:

The average cost of each dinner at Dave's party is $5.79.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

[tex]4.75\times 3=14.25[/tex]

Two people ordered the $4.95 fish dinner.

[tex]4.95\times 2=9.90[/tex]

Five had the beef dinner at a cost of $6.75.

[tex]6.75\times 5=33.75[/tex]

Total amount of dinner = [tex]14.25+9.90+33.75=\$57.90.[/tex]

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

[tex]57.90\div 10[/tex]

[tex]=\$5.79.[/tex]

Therefore, the average cost of each dinner at Dave's party is $5.79.

Final answer:

To find the average cost per dinner at Dave's party, calculate the total cost of each type of dinner and sum them up to get the total cost. Then, divide the total cost by the number of guests to obtain the average cost. The average cost per dinner is $5.79.

Explanation:

To calculate the average cost of each dinner at Dave's party, first calculate the total cost of all dinners combined by multiplying the number of each type of dinner by its price and then adding up the totals:

Chicken dinner cost: 3 dinners × $4.75 = $14.25

Fish dinner cost: 2 dinners × $4.95 = $9.90

Beef dinner cost: 5 dinners × $6.75 = $33.75

Next, add all the costs together to get the total cost of the dinners:

Total cost = $14.25 + $9.90 + $33.75 = $57.90

Now, divide the total cost by the number of guests to find the average cost per dinner:

Average cost = Total cost ÷ number of guests

Average cost = $57.90 ÷ 10 = $5.79

So, the average cost per dinner at Dave's party is $5.79.

Answer:

[tex]y =\fracc{4}{3}x+5[/tex]

m=4/3 and b=5

Step-by-step explanation:

We want to find the equation of the line passing through (3,9) and (6,13).

We determine the slope using:

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

Let:

[tex](x_1=3,y_1=9), (x_2=6,y_2=13)[/tex]

We substitute the points to get:

[tex]m = \frac{13 - 9}{6 - 3} = \frac{4}{3} [/tex]

We now use the formula:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute to get:

[tex]y - 9 = \frac{4}{3} (x - 3)[/tex]

Multiply through by 3 to get;

[tex]3y - 27 = 4(x - 3)[/tex]

We expand further to get:

[tex]3y - 27 = 4x - 12[/tex]

This implies that:

[tex]4x - 3y = - 15[/tex]

We solve for y to get:

[tex]y =\fracc{4}{3}x+5[/tex]

Therefore m=4/3 and b=5

Answer:

A. Puritans

Remember, King James was Catholic (brought up presbyetirian) and later enforced Anglican

A) Puritans settled in America to escape religious persecution.

Emigration is the act of leaving one's country or region to live in another. It is a type of migration, which refers to the movement of people from one place to another. Emigration is different from immigration, which is the process of entering a new country or region to live there permanently.

The Puritans were a group of English Protestants in the 16th and 17th centuries who sought to "purify" the Church of England from what they saw as Roman Catholic practices.

They faced persecution and discrimination in England, which led many of them to emigrate to America in search of religious freedom.

The most well-known group of Puritan emigrants to America were the Pilgrims, who established the Plymouth Colony in Massachusetts in 1620.

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Complete question:

Which group settled in America to escape religious persecution?

A.) Puritans

B.) Quakers

C.) Baptists

D.) Methodists

Answer:

292

Step-by-step explanation:

2(12^2+2)

2(144+2)

2(146)

292

Answer:

292

Step-by-step explanation:

13-1=12

12×12=144

144+2=146

146×2= 292

Answer:

-1/4 x = 7

x4          x4

-x        = 28

x = -28

Step-by-step explanation:

Answer: -1/4*-28=7

x=-28

Step-by-step explanation:

First, do -1/4 and you should get-0.25 as your answer .

Next, do 7/-0.25

Last, check your answer and to do so simply multiply -1/4*-28 and you should get 7 as your final answer.  

Answer:

20

Step-by-step explanation:

we know that

In a parallelogram, opposite  angles are congruent and consecutive angles are supplementary

In this problem

M and N are consecutive angles so

[tex]m\angle M+m\angle N=180^o[/tex]

substitute the given values

[tex]3x^o+(8x-40)^o=180^o[/tex]

solve for x

[tex]11x-40=180\\11x=220\\x=20[/tex]

Answer:

20

Step-by-step explanation:

First, calculate the area of the rectangular yard.

A = L x W    where A equals area, L equals length, and W equals width.

According to your stated problem:

A = 31 x 49

A = 1519 square feet          <-------Area of Rectangular yard.

Answer:

if b = 8

and h = 6

and if im understanding correctly it is asking B*H/2 that would be 8*6 which is 48 then divided by 2 would be 24  

Step-by-step explanation:

Final answer:

Using the formula A = bh/2 for the area of a triangle, with b as 8 and h as 6, we find that the area A equals 24 square units.

Explanation:

To solve the given problem, we need to apply the formula for the area of a triangle, which is A = bh/2, where 'b' is the base of the triangle and 'h' is the height. Given that b equals 8 and h equals 6, we can substitute these values into the formula to find the area.

A = bh/2

A = (8)(6)/2

A = 48/2

A = 24

Therefore, the area of the triangle when b is 8 and h is 6 is 24 square units.

As the question is unable to be understood/incomplete hence let's discuss the complete question (most probable question) and the answer for that.

Updated Question:

"A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100"

Answer:

Correct answer for this question is first option because it satisfies the first inequality but not the second one.

Step by Step Explanation:

[tex]NO,\\4c+6a\leq 120\\ and\\4c+4a\leq 100[/tex]

First Inequality:

4(20)+6(6)≤120

80+36≤120

116≤120 ⇒ TRUE

Second Inequality:

4(20)+4(6)≤100

80+24≤100

104≤100 ⇒ FALSE

Answer:

(11,3)

Step-by-step explanation:

Using the Pythagorean Theorem with a hypotenuse of 26 cm and one side of 10 cm, the length of the other side is found to be 24 cm. Thus, the correct answer is (D) 24 cm.

In a right-angled triangle, you can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse c is equal to the sum of the squares of the lengths of the other two sides a and b:

[tex]\[c^2 = a^2 + b^2\][/tex]

Given that the hypotenuse c is 26 cm and one side a is 10 cm:

[tex]\[26^2 = 10^2 + b^2\]\[676 = 100 + b^2\]\[b^2 = 576\]\[b = 24\][/tex]

Therefore, the length of the other side is 24 cm, and the correct answer is (D) 24 cm.

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The complete question is:

The hypotenuse of a right triangle is 26 cm long. If one of the remaining two sides is 10 cm long. Find the length of the other side.

A. 18 cm

B. 20 cm

C. 22 cm

D. 24 cm

Answer:120 girls

Step-by-step explanation:

40% equals 80 boys, so 200 people less 80 is equal 120, therefore are 120 girls!

The number of girls is 120.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. It is used to measure frequency.

Percentage of girls = 100 = 40 = 60%

Number of girls = 60% x 200

= 120

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Step-by-step explanation:

x+y=29...because x and y means how many tickets they have

and if normal 1 ticket is 70...then x number of tickets are $70x.

and

1 VIP ticket is 80...then y number of tickets are $80y..got that?...sum of all earned by selling tickets equal to $2130

so...

70x+80y=2130

so...equations are

x+y=29

70x+80y=2130

solve these equations.i did the hard part...you will get the answer...if u dont know hot to solve this comment me...

Expression that shows distance Kurt can drive on a tank of gasoline is 23g miles

Solution:

Given that, Kurt's car gets 23 miles to a gallon of gasoline

He filled up his car's gas tank with g gallons

To find: Expression that shows distance Kurt can drive on a tank of gasoline

From given,

1 gallon of gasoline = 23 miles

Kurt fills up his car with "g" gallons

Therefore, for "g" gallons,

[tex]1 \times g \text{ gallons of gasoline } = 23 \times g \text{ miles }\\\\g \text{ gallons of gasoline } = 23g \text{ miles }[/tex]

Thus the distance Kurt can cover with "g" gallons is:

[tex]distance = 23g\ miles[/tex]

Thus with "g" gallons of gasoline, Kurt can drive 23g miles

I'm assuming the equation is:

v = -2000t + 20,000     because the value of a car decreases with time

v = worth of the car

t = number of years

Since you know the value of v = 10,000, substitute or plug in 10,000 for v in order to find t

v = -2000t + 20,000  Substitute 10,000 into v  [To find t, you need to get the variable by itself to one side of the equation.]

10,000 = -2000t + 20,000     Subtract 20,000 on both sides

-10,000 = -2000t    Divide -2000 on both sides to get t by itself [negative divided by a negative results in a positive]

5 = t

Answer:

False

Step-by-step explanation:

lets find out..

x - 3y < 1.....check (2,-1)....x = 2 and y = -1

now we sub

2 - 3(-1) < 1

2 + 3 < 1

5 < 1.......so is 5 less then 1 ? NO, it is not...so (2,-1) IS NOT a solution

Answer:false

Step-by-step explanation:

Answer:

it's 312

Step-by-step explanation:

1/6 is the total number of outcomes from the cube

1/52 is the total number of outcomes from the deck

multiply them and get 1/312

312 outcomes!

The question is an illustration of arrangement and selection.

The total number of outcomes is 312

The given parameters are:

Cube and Standard deck

A cube has 6 faces

A standard deck has 52 cards

So, the total number of outcome is:

[tex]\mathbf{Total = Cube \times Standard\ deck}[/tex]

Substitute known values

[tex]\mathbf{Total = 6 \times 52}[/tex]

[tex]\mathbf{Total = 312}[/tex]

Hence, the total number of outcomes is 312

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The speed of slower car is 45 mph and faster car is 50 mph.

Step-by-step explanation:

Given,

Distance covered by both cars = 190 miles

Time taken by both of them = 2 hours

Let,

x be the speed of slower car.

Speed of faster car = x+5

Combined speed = x+x+5 = 2x+5

We know that;

Distance = Speed * Time

[tex]190=(2x+5)*2\\190=4x+10\\4x=190-10\\4x=180\\[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{180}{4}\\x=45[/tex]

Speed of slower car = 45 miles per hour

Speed of faster car = 45+5 = 50 miles per hour

The speed of slower car is 45 mph and faster car is 50 mph.

Keywords: speed, distance

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The problem given is a relative speed problem in mathematics. By solving the equation, we find that the slower car travels at 45 mph and the faster car travels at 50 mph.

This is a

problem of relative speed

in

mathematics

. Let's consider the speed of the slower car as 'x' miles per hour. The faster car is travelling 'x+5' miles per hour. Since they are moving towards each other, the sum of their speeds equals the total distance divided by the total time, that is (x + (x + 5)) = 190/2. Simplifying the equation, we get 2x + 5 = 95. Solving further, we get x = 45 miles per hour. Therefore, the slower car is travelling at 45 mph and the faster car is travelling at 50 mph.

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Answer: What exactly are you asking??

Step-by-step explanation:

Problem 1 Answer: x = -1 + 0.25y

Show Work:

1) Solving

-4x + y = 4

2) Solving for variable 'x'.

3) Move all terms containing x to the left, all other terms to the right.

4) Add '-1y' to each side of the equation.

-4x + y + -1y = 4 + -1y

5) Combine like terms: y + -1y = 0

-4x + 0 = 4 + -1y

-4x = 4 + -1y

6) Divide each side by '-4'.

x = -1 + 0.25y

7) Simplifying

x = -1 + 0.25y

Problem 2 Answer: x = 6.5 + -1y

Show Work:

1) Solving

2x + 2y = 13

2) Solving for variable 'x'.

3) Move all terms containing x to the left, all other terms to the right.

4) Add '-2y' to each side of the equation.

2x + 2y + -2y = 13 + -2y

5) Combine like terms: 2y + -2y = 0

2x + 0 = 13 + -2y

2x = 13 + -2y

6) Divide each side by '2'.

x = 6.5 + -1y

7) Simplifying

x = 6.5 + -1y

Answer:

20%.

Step-by-step explanation:

That is  (60 - 50) / 50

= 10/50

= 1/5

To convert to a percent we multiply by 100:

= 20%.

I think it will be 10% because you invited 50 right? And 60 atended or was it 60 and 50 atended? Well either way I think it’s 10%

Answer:

i don't see no number line

Step-by-step explanation:

Answer:

no pic

Step-by-step explanation:

Final answer:

To the nearest year, it will take about 6 years for the value of the car to reach $15,500.

Explanation:

To find how long it will take for the value of a car to depreciate to $15,500, we can set up an equation using the formula for exponential decay: V = P[tex](1 - r)^t[/tex], where V is the final value, P is the initial value, r is the depreciation rate, and t is the time in years.

Plugging in the given values, we have 15500 = 24000[tex](1 - 0.0675)^t[/tex]. To solve for t, we can take the logarithm of both sides:

log(15500) = log(24000[tex](1 - 0.0675)^t)[/tex]

t * log(1 - 0.0675) = log(15500/24000)

t = log(15500/24000) / log(1 - 0.0675)

Using a calculator, we find that t is approximately 5.54 years. Rounding to the nearest year, it will take about 6 years for the value of the car to reach $15,500.

Answer:f=−

​7

​

​x

​2

​​ +1−2g−x

​​  

Step-by-step explanation:

1 Subtract {x}^{2}x

​2

​​  from both sides.

2{x}^{2}+1-g-x-{x}^{2}=-7f+g2x

​2

​​ +1−g−x−x

​2

​​ =−7f+g

2 Simplify  2{x}^{2}+1-g-x-{x}^{2}2x

​2

​​ +1−g−x−x

​2

​​   to  {x}^{2}+1-g-xx

​2

​​ +1−g−x.

{x}^{2}+1-g-x=-7f+gx

​2

​​ +1−g−x=−7f+g

3 Subtract gg from both sides.

{x}^{2}+1-g-x-g=-7fx

​2

​​ +1−g−x−g=−7f

4 Simplify  {x}^{2}+1-g-x-gx

​2

​​ +1−g−x−g  to  {x}^{2}+1-2g-xx

​2

​​ +1−2g−x.

{x}^{2}+1-2g-x=-7fx

​2

​​ +1−2g−x=−7f

5 Divide both sides by -7−7.

-\frac{{x}^{2}+1-2g-x}{7}=f−

​7

​

​x

​2

​​ +1−2g−x

​​ =f

6 Switch sides.

f=-\frac{{x}^{2}+1-2g-x}{7}f=−

​7

​

​x

​2

​​ +1−2g−x

​​  

Final answer:

The expressions 4x and 15 + x are not equivalent as they yield different results for the same value of x.

Explanation:

The expressions 4x and 15 + x are not equivalent. Equivalence between two expressions means that for any value of the variable(s) involved, the expressions yield the same result. To determine if these expressions are equivalent, you can compare them for different values of x. For instance, if x is 1, 4x yields 4, whereas 15 + x yields 16, which are not the same. Thus, we can say that the expressions 4x and 15 + x are not equivalent as they produce different results for the same values of x.

Answer:

B 10.4

Step-by-step explanation:

Answer:

(-2,10)

Step-by-step explanation:

6x-2= -12

3y = 3×10 =30

30+(-12)=18

Answer: I believe the answer to this question is: X= 1/5.