The perimeter of a rectangular garden is 110ft. The length is 5 ft greater than the width. Find the length and width.

Answer:

It would round down to 103 liters.

Step-by-step explanation:

Answer:0.434

Step-by-step explanation:

Answer:20+8+.9+.03

Step-by-step explanation:

Final answer:

The number 28.93 in expanded form is written as 20 + 8 + 0.9 + 0.03.

Explanation:

The number 28.93 in expanded form is written as 20 + 8 + 0.9 + 0.03. To expand a decimal number, we break it down into its place values, where each digit is represented by its value in terms of tens, ones, tenths, hundredths, and so forth. In the case of 28.93, the '2' is in the tens place and represents 20, the '8' is in the ones place and represents 8, the '9' is in the tenths place and represents 0.9, and the '3' is in the hundredths place and represents 0.03.

Answer:

312016 is your correct answer

Step-by-step explanation:

Answer:

[tex]y\geq -1[/tex]

see the explanation

Step-by-step explanation:

we know that

'The algebraic expression of the given problem is equal to

[tex]7y+1\geq y-5[/tex]

solve for y

subtract y both sides

[tex]7y+1-y\geq y-5-y[/tex]

[tex]6y+1\geq -5[/tex]

subtract 1 both sides

[tex]6y+1-1\geq -5-1[/tex]

[tex]6y\geq -6[/tex]

Divide by 6 both sides

[tex]y\geq -1[/tex]

The solution is the interval [-1,∞)

All real numbers greater than or equal to -1

Answer:

  [tex]\dfrac{p^2+9p+2}{p^2-49}[/tex]

Step-by-step explanation:

Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

  [tex]\dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}[/tex]

Answer:

Step-by-step explanation:

y = 3x - 4  (1)

4x + 3y = 1 (2)

if we substitute y by 3x - 4 in the second equation we get

4x + 3(3x-4) = 1 ⇒ 4x + 9x - 12 = 1 ⇒ 13x = 13 ⇒ x = 1

now ,we substitute x by 1 in the first equation

y = 3(1) - 4 = 3 - 4 = -1

Answer:

h= 9

Step-by-step explanation:

you divide both sides by 32

and 288 divided by 32 is 9

Sylvia has completed 9 laps.

Step-by-step explanation:

Step 1; Sylvia runs for a total of 2000 meters. Each lap is 200 meters long.   To find the number of laps remaining we need to know the total distance, the distance already covered and the distance on each lap. The distance left to run is equal to the total distance to be run - the distance already ran = 2000 - 1800 meters = 200 meters.

Step 2; The number of laps remaining = The distance left to run/distance on each lap.

The number Number of laps remaining = 200 meters/200 meters

The number of laps remaining = 1 lap.

Final answer:

To determine the number of laps a runner has completed when given the remaining distance to run and the length of each lap, multiply the number of laps by the length of one lap. Answer is 9 laps.

Explanation:

To convert the number of track laps to a distance in meters:

Answer: 1.8x

Step-by-step explanation:

Let's convert them to decimals:

1/25 = 0.04

4% = 0.04

0.04 = 0.04

0.4 = 0.40.

So 0.4 is NOT equivalent to the other values.

The values 1/25, 0.04, and 4% are all equivalent to each other. The value that does not match with these is 0.4.

The values given in the question are 1/25, 0.04, 4%, and 0.4. These values can be converted into the same format to compare them more easily.

Firstly, you can convert 1/25 into a decimal, which equals 0.04. Secondly, we can convert 4% into a decimal by dividing the number 4 by 100, which also equals 0.04. Lastly, when comparing these to 0.4, it becomes clear that 0.4 is not equivalent to the other numbers (0.04).

So, the value which is not equivalent to the others is 0.4.

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Answer: 2

Step-by-step explanation:

4/5 x 2 1/2 = ?

Convert 2 1/2 to 5/2

4/5 x 5/2 = ?

Do 4 x 5, and then 5 x 2.

4 x 5 = 20

5 x 2 = 10

The new fraction is now 20/10.

You can simplify the fraction to 2.

20/10=2

Answer:

2

Step-by-step explanation

4     x       5   =  20    20/10= 2

5      x      2   = 10

i'm sorry for the bad explanation. i'm still testing the stuff.  :P

hope this helps you though! :3

Answer:10,349

Step-by-step explanation:

Option A:

Midpoint of LN = (2, 3)  

Solution:

In the given graph we can find the coordinates of L and N.  

Coordinates of L = (–2, 3)

Coordinates of N = (6, 3)

Here, [tex]x_{1}=-2, x_{2}=6, y_{1}=3, y_{2}=3[/tex]

Let us find the midpoint of the segment LN.

Midpoint formula:

[tex]$\text { Midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]

                [tex]\begin{aligned}&=\left(\frac{-2+6}{2}, \frac{3+3}{2}\right)\\&=\left(\frac{4}{2}, \frac{6}{2}\right)\\&=(2,3)\end{aligned}[/tex]

Midpoint of LN = (2, 3)  

Option A is the correct answer.  

Hence the coordinates of the midpoint of the line segment LN is (2, 3).

Answer:

0.4, 2/5

Step-by-step explanation:

The probability that Juan has to wait more than 15 minutes is 0.4 and the probability that Juan doesn't have to wait for more than 15 minutes is 0.6

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here, there is a 40% chance that he will have to wait more than 15 minutes. Thus the probability of him waiting for more than 15 minutes is 0.4 and the probability that he has to wait less than 15 minutes is 1-0.4=0.6

Hence, P(<15)=0.6 or 3/5 and P(>15) = 0.4 or 2/5 are the  probabilites for Juan

Learn more about probability here:

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Final answer:

The value of 4x when x=4 is 16, and for proportions like 1:2=4:x, you'd get x=8 by cross multiplying.

Explanation:

The value of 4x when x=4 is simply 4 multiplied by 4, which equals 16. This calculation is a basic algebraic operation, and it should not be confused with more complex problems. For example, if you're trying to solve a proportion like 1:2=4:x, you'd set up a proportion to figure out the value of x. To solve for x you can use the cross multiplication method, resulting in 1x = 8, hence x = 8.

Final answer:

The value of 4x^3 + 4x when x=4 is found by substituting 4 into the expression and simplifying step by step, resulting in a final answer of 272.

Explanation:

When answering a question such as "What is the value of 4x3 + 4x when x=4," we need to substitute the value of x into the expression and simplify.

Let's break it down step-by-step:

Substitute x with 4 into the expression: 4(4)3 + 4(4).

Calculate the exponent: (4)3 = 4 x 4 x 4 = 64.

Multiply by 4: 4 x 64 = 256.

Add the second term: 256 + 4(4).

Perform the second multiplication: 4 x 4 = 16.

Add the two results together: 256 + 16.

Get the final answer: 272.

The value of 4x3 + 4x when x=4 is 272.

To find out how much Tina needs to run each day, divide the total miles she wants to run by the number of days. The result is that Tina needs to run 1.8 miles each day.

To find out how far Tina must run each day, we need to divide the total distance she plans to run by the number of days she plans to run. Tina wants to run 12 3/5 miles over 7 days. As a first step, convert her mixed number to an improper fraction. 12 3/5 is equivalent to 63/5.

Now, to find the distance she must run each day, simply divide 63/5 miles by 7 days. Carrying out this division gives us distance of 9/5 miles per day, or in decimal form, 1.8 miles per day.

So, Tina should run 1.8 miles each day to reach her goal.

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Answer:

[tex]C=12.75n+12.00\\[/tex]

[tex]C= 15.75 n[/tex]

Step-by-step explanation:

When buying tickets to a play online, they cost $12.75 per ticket plus a $12.00 fee per order. When buying tickets at the box office, they cost $15.75 per ticket. The total cost, c, of going to the play, for n people can by represented by a system of equations.  

    . Write a system of equations that could be used to find how many tickets you have to buy for the cost to be the same.

Let n be the number of people and C be the total cost

Play online

[tex]C=12.75n+12.00\\[/tex]

For Box office

[tex]C= 15.75 n[/tex]

These are the system of equations

To find the cost to be same , make both equations equal to each other and solve for n

The number of tickets bought which will make the online order and box office order equal is 4 tickets

Cost of online order:

C = 12.75n + 12

Cost of box office order:

C = 15.75n

12.75n + 12 = 15.75n

12 = 15.75n - 12.75n

12 = 3n

n = 12/3

n = 4

Learn more about equation:

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Answer:

Step-by-step explanation:

A) 12x+10=2(6x+5)

B) -x+8=-(x-8)

Answer:

y = (4/3)x - 4

Step-by-step explanation:

(3,0) & (0,-4)

m = (-4-0)/(0-3) = -4/-3 = 4/3

y = (4/3)x + c

c is the y-intercept which is -4

y = (4/3)x - 4

Answer:y=42000-2000x

Step-by-step explanation:

Y is price so that’s be 42000 minus 2000 every year

Answer:

[tex]y=42,000 - 2000x[/tex]

Step-by-step explanation:

The y is the total value of the car after everything that needs to be taken account of has been accounted to. You're finding the y and what the price is after x amount of years. The initial amount is 42,000 so whatever the cost of the car has depreciated would be subtracted from it. 2,000 dollars per year means what ever x is for year, let's say 5. The amount of money that the car has depreciated over the course of 5 years would be 5 multiply by 2,000. Hopes this help!

Answer:

B =

Step-by-step explanation:B + C would be 8 because B=2 and C=5. 5 + 8 is 8

Answer:

$200

Step-by-step explanation:

1. 3000 divided by 12 = 250

2. 250 x 0.80 = 200

i hope i helped

answer:

99.43

Step-by-step explanation:

because there is a 0.57 chance something will not happen, we will fill the rest of the equation in with 100 percent subtracted by 0.57 to get 99.43. Therefore, 99.43 is the correct answer.

Final answer:

To find the probability of an event happening when the probability of it not happening is 0.57, subtract 0.57 from 1, resulting in 0.43.

Explanation:

The probability that an event will not happen is given as P(E) = 0.57. To find the probability that the event will happen, we use the formula P(A) + P(~A) = 1, where P(A) is the probability of the event happening and P(~A) is the probability of the event not happening. The probability of the event happening, therefore, is 1 - P(E) = 1 - 0.57 = 0.43.

Answer:

a : b = 19 : 7

Step-by-step explanation:

Given

4a - 5b  : 5a + 4b = 1 : 3

Expressing in fractional form, that is

[tex]\frac{4a-5b}{5a+4b}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3(4a - 5b) = 5a + 4b ← distribute left side

12a - 15b = 5a + 4b ( subtract 5a from both sides )

7a - 15b = 4b ( add 15b to both sides )

7a = 19b ( divide both sides by 7 )

a = [tex]\frac{19}{7}[/tex] b ( divide both sides by b )

[tex]\frac{a}{b}[/tex] = [tex]\frac{19}{7}[/tex]

That is a : b = 19 : 7

Answer:

Step-by-step explanation:

4a-5b:5a+4b=1:3

4a-5b/5a+4b=1:3cross multiply

3(4a-5b)=1(5a+4b)

12a-15b=5a+4b

Collect like terms

12a-5a=4b+15b

7a=19b

a:b=7:19

Carol needs to pay a 10% deposit for a house priced at £234900. Calculating the deposit involves applying a percentage formula, concluding that the deposit will amount to £23490.

The subject here is mathematics, and we are dealing with a problem related to percentages. Carol is buying a house for £234900 and needs to pay a 10% deposit. To calculate a percentage, we multiply the total amount by the percentage (in this case, 10%) and divide by 100.

Using this method, we find that 10% of £234900 equals £23490. Therefore, Carol must pay a deposit of £23490 for the house she buys.

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Answer:

(-4,-8) is the answer

on ed 2021 :)

hope this helps!!!!!

Answer:

n=0

Step-by-step explanation:

We want to solve for n in the equation

-4(3n+3)=5(-2-6n)-2

We expand using the distributive property to obtain:

-12n-12=-10-30n-2

We group similar terms to get:

-12n+30n=-10+12-2

We simplify to get:

18n=0

Divide through by 18 to get:

n=0

Width of the miniature model = [tex]3\frac{3}{4}[/tex] inches

Length of the miniature model = [tex]5\frac{1}{2}[/tex] inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

[tex]$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x[/tex]

[tex]$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x[/tex]

[tex]$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}[/tex]

Do cross multiplication.

[tex]$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}[/tex]

[tex]$\Rightarrow{\frac{15}{4}x =\frac{165}{2}[/tex]

[tex]$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}[/tex]

⇒ x = 22

Hence the actual length of the boat is 22 feet.