Danielle and Tracy are building a rectangular sandbox. Danielle has two boards that are equal in length, and Tracy has two boards that are each 5 feet longer than Danielle’s. They use the four boards as the four sides of their sandbox. Use the variable x to write an algebraic expression to relate the perimeter of the sandbox to the length of one of Danielle’s boards.

you need to put the decimal somewhere but if it comes at the beginning then 203463is your answer.

Answer:

here is an actual answer

203463

Step-by-step explanation:

Answer:

it would be 0.2

Step-by-step explanation:

When you multiply 0.4*0.5 it would equal 0.2 since 4*5=20 then 4.0*0.5= 0.2 since 0.2 in fraction form is 2/10 or 20/100.

Answer:

x = -4 or 2

Step-by-step explanation:

-4x² + 10x − 40 = -9x²

First, move the x terms to one side and the constant to the other.

5x² + 10x = 40

Divide by the leading coefficient:

x² + 2x = 8

Take half of the b coefficient, square it, then add to both sides.

(2/2)² = 1

x² + 2x + 1 = 8 + 1

x² + 2x + 1 = 9

Factor the perfect square:

(x + 1)² = 9

Solve for x:

x + 1 = ±3

x = -1 ± 3

x = -4 or 2

Answer:x=2,-4

Step-by-step explanation:

Answer:

She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

Now, to find the rate in feet per second.

1 yard = 3 foot.

1 minute = 60 seconds.

So, first we find the rate of walking per second in yard = [tex]90\div 60[/tex]

Therefore by dividing we get = [tex]1.5 yard[/tex]

Now, we find the rate of walking per second in feet = [tex]1.5\times 3[/tex]

So, by multiplying we get = [tex]4.5 feet[/tex]

Therefore, she is going at the rate of 4.5 feet per second.

Answer:

Well isosceles triangle has two angle that are the same and one different

if one angle is 90 degrees that means the other two angles have to be 45 cause all three angles of a triangle equal 180.

Answer:

Paul Hastings checkbook balance be  $1753

Explanation:

We are given Paul Hastings

current checkbook balance is equal to $1345.00

and a deposit of $423.00  is said to be made in the bank

so the new balance will be addition of this deposit in the current balance also there's a deduction of $15 as service fee.

So the total checkbook balance will be after subtracting $15 from sum of current balance and deposit.

So his checkbook balance = $1345 + $423 - $15

                                             = $1753

which is the required value of checkbook.

Answer:

y-3=-1/2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

perpendicular means negative reciprocal of the current slope,

and the negative reciprocal of 2 is -1/2.

y-3=-1/2(x-4)

Answer:

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

5x+4=19

5x=19-4

5x=15

x=15/5

x=3

Answer:

x = 3

Step-by-step explanation:

Given

5x + 4 = 19 ( subtract 4 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Answer:

well if it is a square then 10ft by 10ft. Otherwise, since you haven't given me the scale drawing, just find the area through 5cm. Then multiply your answer by 2 and instead of cm have ft.

Step-by-step explanation:

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange y - 2x = 3 into this form by adding 2x to both sides

y = 2x + 3 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of line

There are 29 nickles in the pile.

Step-by-step explanation:

Let,

nickles = x

dimes = y

Total coins = 82

Total worth = $6.75 = 6.75*100 = 675 cents

1 nickle = 5 cents

1 dime = 10 cents

According to given statement;

x+y=82    Eqn 1

5x+10y=675   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=82)\\5x+5y=410\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](5x+10y)-(5x+5y)=675-410\\5x+10y-5x-5y=265\\5y=265[/tex]

Dividing both sides by 5;

[tex]\frac{5y}{5}=\frac{265}{5}\\y=53[/tex]

Putting y=53 in Eqn 1

[tex]x+53=82\\x=82-53\\x=29[/tex]

There are 29 nickles in the pile.

Keywords: linear equations, subtraction

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Answer:

The rule which allows us to change the sign of an exponent is called the negative exponent rule.

Step-by-step explanation:

Consider the provided information.

The negative exponent rule is the rule which allows to change the sign of an exponent.

[tex]x^{-1}=\frac{1}{x}[/tex]

According to negative exponent rule: A negative exponents in the numerator moved to the denominator and become positive exponents.

If A negative exponents in the denominator moved to the numerator and become positive exponents.

Hence, the required statement is: The rule which allows us to change the sign of an exponent is called the negative exponent rule.

The true statements are:

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true ⇒ 1st answer

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true ⇒ 2nd answer

The ordered pair (−4, 0) is a solution to the system because it makes both equations true ⇒ 4th answer

Step-by-step explanation:

To prove that point (a , b) is a solution of an equation

∵ The system of equations is:

2x + y = -8 ⇒ (1)

x - y = -4 ⇒ (2)

The ordered pair is (-4 , 0)

Substitute x by -4 and y by 0 in each equation

∵ x = -4 and y = 0

∵ The left hand side in equation (1) is 2x + y

∵ 2(-4) + 0 = -8 + 0 = -8

∴ The left hand side = -8

∵ The right hand side = -8

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (1)

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true

∵ The left hand side in equation (2) is x - y

∵ (-4) - 0 = -4 - 0 = -4

∴ The left hand side = -4

∵ The right hand side = -4

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (2)

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true

∵ The ordered pair (-4 , 0) makes the two equations true

∴ The ordered pair (-4 , 0) is the solution of the system of equations

The ordered pair (−4, 0) is a solution to the system because it makes both equations true

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Answer:

The volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.

Step-by-step explanation:

Let the volume of paint required to cover whole car be 'x'.

Given:

Volume of paint to cover one-fifth of a car = one-fourth of a gallon.

We use unitary method to determine the volume of paint required.

∵ One-fifth of a car requires paint = [tex]\frac{1}{4}\ gal[/tex]

∴ Whole volume of car requires paint = [tex]\frac{\frac{1}{4}}{\frac{1}{5}}[/tex]

[tex]=\frac{1}{4}\times \frac{5}{1}\\=\frac{5}{4}\\=1\frac{1}{4}\ gal[/tex]

Therefore, the volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.

Yes, you like AirPods due to zero wires, comfortable fit and long lasting 24 hours battery life.

Step-by-step explanation:

The current technology employed in Apple devices has attracted most users.For example in the AirPods technology, users can enjoy features such as instant connection to  other Apple devices, easy switching from Mac to Os devices, comfortable fit and long battery hours. Even with the current price of AirPods at $159 the advantages outweigh the cost.

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Keyword : AirPods

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Answer: Yeah you like airpods

Step-by-step explanation:

Answer:

C = 80pF

Step-by-step explanation:

The total capacitance of 4 capacitors connected in series is given by:

[tex]Ct = \frac{1}{1/C1 + /C2 + 1/C3 + 1/C4}[/tex]

[tex]Ct = \frac{1}{1/C + /C + 1/C + 1/C}[/tex]

[tex]Ct = \frac{1}{4/C}[/tex]

[tex]Ct = \frac{C}{4}=20pF[/tex]

Solving for C:

C = 4*20pF

C = 80pF

Answer:

salary based on how many sales are made

Step-by-step explanation:

(a) The explicit rule to model the sequence formed by the number of seats in each row is [tex]a_{n}=15+3n[/tex]

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

[tex]a_{n}=a+(n-1)d[/tex] , where

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ [tex]a_{n}=18+(n-1)3[/tex]

- Simplify the right hand side

∴ [tex]a_{n}=18+3n-3[/tex]

- Add like terms

∴ [tex]a_{n}=15+3n[/tex]

(a) The explicit rule to model the sequence formed by the number of seats in each row is [tex]a_{n}=15+3n[/tex]

∵ There are 120 seat in a row

- Substitute [tex]a_{n}[/tex] by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

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Answer:

In this problem and with any rational number, the zero product property will be applied. If ab = 0, then either a = 0 or b = 0, or both. A product of factors is zero if and only if one or more of the factors is zero.

And excuse me, but where's the other 75 points?

To determine the number of days you have read, an equation is set up as 150 - 3x = 60, where x represents the number of days. After solving, it reveals that you have read for 30 days.

To find the number of days, x, that you have read, given that there are 60 pages left and you read 3 pages per day in a 150-page book, we can set up the following equation:

150 - 3x = 60

This equation represents the total number of pages in the book (150) minus 3 pages for each day that you read (3x) equal to the number of pages left (60).

Now, solve for x to determine the number of days you have been reading:

150 - 60 = 3x

90 = 3x

x = 30 days

Therefore, you have been reading for 30 days.

Answer:

2

Step-by-step explanation:

(1/2)/4=(1/2)(4/1)=4/2=2

Answer:

1/8

Step-by-step explanation:

1/2 ÷ 4

= 1/2 x 1/4

= 1x1/2x4

= 1/8

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9

Answer:

4 times more

Step-by-step explanation:

80/20=4

Answer:

y=2x-1

Step-by-step explanation:

there are 784 different committees possible that consist of 2 women and 2 men.

To form a committee of 4 people consisting of 2 women and 2 men, we need to choose 2 women from the 8 available women and 2 men from the 8 available men.

We can calculate the number of ways to choose 2 women from 8 using combinations, denoted as ( C(n, k) \), which is calculated as:

[tex]\[ C(n, k) = \frac{n!}{k!(n-k)!} \][/tex]

Where:

- ( n ) is the total number of items (in this case, the number of women)

- ( k ) is the number of items to choose (in this case, 2)

- ( n! ) denotes the factorial of ( n ), which is the product of all positive integers up to ( n )

Similarly, we can calculate the number of ways to choose 2 men from 8.

Once we have chosen 2 women and 2 men, we multiply these numbers together to find the total number of possible committees.

Let's calculate it step by step:

1. Choose 2 women from 8:

[tex]\[ C(8, 2) = \frac{8!}{2!(8-2)!} = \frac{8!}{2!6!} = \frac{8 \times 7}{2 \times 1} = 28 \][/tex]

2. Choose 2 men from 8:

[tex]\[ C(8, 2) = \frac{8!}{2!(8-2)!} = \frac{8!}{2!6!} = \frac{8 \times 7}{2 \times 1} = 28 \][/tex]

3. Multiply the number of ways to choose women and men:

[tex]\[ \text{Total number of committees} = 28 \times 28 = 784 \][/tex]

So, there are 784 different committees possible that consist of 2 women and 2 men.

25t means "25 times t" where t is some unknown number. It is a placeholder for a number.

To find what the number is, we undo what is happening to t. So we divide both sides by 25 to undo the operation "multiply by 25"

----------

25*t = 1125

25*t/25 = 1125/25 divide both sides by 25

t = 45

---------

As a check, we can plug t = 45 into the equation and we should get the same value on both sides

25*t = 1125

25*45 = 1125 replace every t with 45

1125 = 1125 the answer is confirmed

Answer:

45

The drawings will help

Answer:

D, My original answer was A (-6,2) B (-6,5) but that's particular order is not an option but if you flip it you get answer D

Number of adults = 40

Number of children = 156

Step-by-step explanation:

Let x be the number of adults and

y be the number of children

Then according to given statements

[tex]x+y=196\ \ \ Eqn\ 1\\2.0x+1.50y = 314\ \ \ Eqn\ 2\\[/tex]

From equation 1:

[tex]x+y = 196\\x = 196-y[/tex]

Putting in equation 2

[tex]2(196-y) + 1.50y = 314\\392-2y+1.50y = 314\\392-0.5y = 314\\-0.5y=314-392\\-0.5y=-78[/tex]

Dividing both sides by -0.5

[tex]\frac{-0.5y}{-0.5} = \frac{-78}{-0.5}\\y = 156[/tex]

Putting y = 156 in equation 1

[tex]x+156 = 196\\x = 196 - 156\\x = 40[/tex]

Hence,

Number of adults = 40

Number of children = 156

Keywords: Linear equations, Variables

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Answer:

-12

Step-by-step explanation:

x - 8 = -20  (add 8 to both sides)

x = -20 + 8

x = -12

Answer:

-12

Step-by-step explanation:

-12 + -8 is -20.

x= -12 because if you added 28 or 12, the answer would be positive. If you subtracted -28 from -8 your answer would be -36.

So the only answer is -12.