The length of a rectangular garden is 12 ft longer than the width, w. If the garden has a perimeter of 76 ft. Determine the length and width of the garden.

Answers

Answer 1

Step-by-step explanation:

length = l

width = w

perimeter of garden = 76 ft

perimeter = 2l + 2w

2l + 2w = 76 (eqn 1)

l - w = 12 (eqn 2)

(eqn 1) ÷ 2

l + w = 38 (eqn 3)

(eqn 2) + (eqn 3)

2l = 50

2l/2 = 50/2

l = 25

The length of the garden is 25 ft.

Substitute l = 25 into (eqn 3)

l + w = 38

25 + w = 38

w = 38 - 25

w = 13

The width of the garden is 13 ft.


Related Questions

Bill launched a model rocket, and estimated its height h, in feet, after 1 seconds. His results are shown in the table.
Time to 1 2 3 4
Height, h 0 110 190 240 255
Bill's data can be modeled by the function h(t) = -16t2 + 128t.
Which value is the best prediction for the height of the rocket after 5.5 seconds?
A. 150 ft
B. 180 ft
C. 220 ft
D. 250 ft
E 260 ft

Answers

Answer:

22ft

Step-by-step explanation:

Given the height of Bills modeled by the function h(t) = -16t^2 + 128t.

To get his height after 5.5secs, we will replace t with 5.5 a shown;

h(t) = -16t^2 + 128t.

h(5.5) = -16(5.5)^2 + 128(5.5)

h(5.5) = =-484+704

h(5.5) = 220ft

Hence his height after 5.5secs is 22ft

In ΔGHI, the measure of ∠I=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of ∠G to the nearest tenth of a degree.

Answers

Answer:

8.3

Step-by-step explanation:

The equation of the line that passes through the point (0,5) and has a gradient of 4 is

Answers

I think its 2 Finding the gradient of a straight-line graph

The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 .

Please please help please

Answers

Answer:

3 times larger

Step-by-step explanation:

I'm not a hundred percent sure but I'm pretty sure it is.

hope this helped ;)

Tyson has two movie tickets and wants to randomly select one of six friends to go with him. He rolls a six-sided die to make his decision. He tested this model 60 times and recorded the results in this table.

Result of Roll Times Result Occurred
1 - 11
1 - 0.18
2 - 9
2 - 0.15
3 - 9
3 - 0.15
4 - 10
4 - 0.17
5 - 11
5 - 0.18
6 - 10
6 - 0.17
Do you think the relative frequency from the experiment is a good predictor of the theoretical probability? Why or why not?

Answers

Answer:

The relative frequency of rolling a particular number can be calculated using the formula

relative frequency , where f is the actual frequency of an event and n is the number of times the experiment is performed. This experiment had the following results:

The relative frequency of rolling a 1 is 0.2.

The relative frequency of rolling a 2 is about 0.23.

The relative frequency of rolling a 3 is about 0.13.

The relative frequency of rolling a 4 is 0.15.

The relative frequency of rolling a 5 is 0.15.

The relative frequency of rolling a 6 is about 0.13.

The relative frequencies of rolling 1, 2, 3, 4, 5, and 6 are quite similar. So, the relative frequency is a good predictor of the theoretical probability.

Step-by-step explanation:

this is exact answer from edmentum so change it up a bit

Ms. Clipner had 15 days to prepare her seventh
grade class for their next math exam. On the
first day. she gave the class 7 math problems to
complete. Each day following, Ms. Clipner gave
the class 5 more math problems to solve in prepa-
ration. How many problems did Ms. Clipner give
the class for review
26
G. 72
H.
J. 82
K. 156

Answers

Answer:

82

Step-by-step explanation:

add 7 to 5 fifthteen times

If Clipner had 15 days to prepare her seventh grade class for their next math exam. On the first day. she gave the class 7 math problems to

complete. Each day following, Ms. Clipner gave the class 5 more math problems to solve in preparation. Then 82 problems did Ms. Clipner give

the class for review

What is Equation?

Two or more expressions with an equal sign is called as Equation.

By given data, On the first day. she gave the class 7 math problems to complete. Each day following, Ms. Clipner gave the class 5 more math problems to solve in preparation.

We need to find how many problems did Ms. Clipner give

the class for review .

=7+15(5)

=7+75

After adding 75+7, we get

=82

Hence 82  problems did Ms. Clipner give the class for review.

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BRAINLIST!! WILL GIVE BRAINLIST PLEASE HELP ME QUICK!!!!

Answers

Answer: No

Step-by-step explanation: MAD(Mean Absolute Deviation is 5, and if the mean of data set c is 10, 10+5=15 at most and the mean of data set d is 30, 30-5=25 at most and there is no overlap

Answer:

Your answer is no

Step-by-step explanation:

There were 816 cars parked in the parking lot on Monday morning. At lunchtime 91 cars left the lot. After lunch, 135 cars came back to the parking lot. How many parking spots were left on Monday morning ?

Answers

Answer:

467

Step-by-step explanation:

There were a total 1327 parking lots.

Out of these 816 were taken in the morning, 91 cars left in the afternoon, while 135 came back after lunch.

So there are,

[tex]Cars left = 1327 - (816 - 91 + 135) \\\\ = 1327 - 860\\ = 467[/tex]

Thus, there are 467 parking spots left on Monday afternoon.  

The moon has a radius of 1738 km. Find the surface area to the nearest tenth. Use 3.14 for pie

Answers

Answer:

surface area = 4πr² = 4(3.14)(1738²) = ?   (something like 37, 939,290 km²)

My calculator will not go that high

Step-by-step explanation:

surface area = 4πr² = 4(3.14)(1738²) =

A hotel room costs $435.92 for 4 nights. At the same rate, how much would it cost to rent the hotel room for 7 nights?

Answers

Answer:

basBdiqdia

Step-by-step explanation:

Answer:

$762.86

Step-by-step explanation:

$435.92/4 = $108.98

$108.98 · 7 = $762.86

BRAINLIEST ACED AND EXPERT PLS HELP

Answers

Answer:

420

Step-by-step explanation:

What is the median for the following set of data?

5, 7, 9, 11, 13, 13

A. 10
B. 8
C. 9
D. 11

Answers

C. 9
There are 6 numbers and half of 6 is 3 so the third one is 9!!

Answer:

Answer is 9

Step-by-step explanation:

I did the quiz also used a median calculator I don't think this will help but hopefully it dose or something

Professors often attempt to determine if the submissions by the students are genuine or copied off the web sources. The program that performs this task is only 95 % accurate in correctly identifying a genuine submission and 80% accurate in correctly identifying copies. Based on the past statistics, 15% of the student turned in copied work. If a work is identified as a copy by the program, what is the probability that it is indeed a sample of copied work.

Answers

Answer:

0.7385 = 73.85% probability that it is indeed a sample of copied work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Identified as a copy

Event B: Is a copy

Probability of being identified as a copy:

80% of 15%(copy)

100 - 95 = 5% of 100 - 15 = 85%(not a copy). So

[tex]P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625[/tex]

Probability of being identified as a copy and being a copy.

80% of 15%. So

[tex]P(A \cap B) = 0.8*0.15 = 0.12[/tex]

What is the probability that it is indeed a sample of copied work?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.1625} = 0.7385[/tex]

0.7385 = 73.85% probability that it is indeed a sample of copied work.

A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per
year. To the nearest year, how long will it be until the value of the car is 7700 dollars?

Answers

Answer:I think 3 years

Step-by-step explanation:

sorry if im wrong

consider the line (d) with equation y = –2x+6
determine the coordinates of B, the intersection point of (d) andy'Oy.

Answers

Answer:

i dont know sry need points sry

Step-by-step explanation:

Help please question in picture

Answers

Answer:

10 units squared

Step-by-step explanation:

[tex]4(5)=20[/tex]

[tex]\frac{20}{2}=10[/tex]

17 units I think because if you add it all up it equals 17

Find the range for the data. 1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455

Answers

Answer:

The range of the data value is 695.

Step-by-step explanation:

Please mark me brainlliest!

Answer:

695

Step-by-step explanation:

Range is the difference between the largest and smallest value.

1480, 1375, 1285, 1740, 1195, 1785, 1710, 1725, 1355, 1890, 1455

1890 - 1195

695

I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math

Answers

Answer:

8 quarts and 1 pint

Step-by-step explanation:

there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over

what is 6/3 + (- 1/6)

Answers

Answer:

The answer to your problem is 1 5/6

Answer:

11/6

Step-by-step explanation:

First you need to get a common denomintor in order to add fractions.  Here you can multiply 6/3 by two to get 12/6.  Then you can just do 12/6-1/6 since adding a negative number is the same as subtracting, leaving you with 11/6, which cannot be reduced so that is your final answer.

Suppose that sand is falling to form a circular cone whose radius and height are the same, as in the picture. Suppose that twenty cubic meters of sand falls every minute, so that the volume of the cone of sand is increasing at the rate of 20 m3/min. When the cone of sand is ten meters high, what is the at which the height of the cone is increasing (in meters per minute)

Answers

20-20=0 and 1+2 = 3 sooo my home would be nice thx for the points

Write an equation in slope-intercept form for the line with slope -8 and y-intercept 8. The. Graph is he line.

Answers

Answer:

y=-8x+8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=-8x+8

Helppppppp plZ I’ll mark you brainlist

Answers

Answer:

the picture isnt loading. it says error.

Step-by-step explanation:

Answer:

Ummm Don't know

Step-by-step explanation:

write the equation of the line that has the indicated slope and contains the indicated point. express the final equation in standard form. m= 1/2, (6,8)

Answers

Answer:

[tex]x - 2y = -10[/tex]  

Step-by-step explanation:

1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:

[tex]y-8 = \frac{1}{2} (x-6)[/tex]

2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.

[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]

So, the answer is [tex]x - 2y = -10[/tex].

Simone asked her classmates, "How many days do you floss your teeth in a
typical week?" The table shows Simone's data.
Days of Flossing per Week
6
3
1
4
3
3
5
6
6
7
7
6
5
3
2.
4
0
4.
5
7
1
2
6
7
How many observations did she record?

Answers

Answer:

24

Step-by-step explanation:

Count the amount of answers she got.

A thermos held 2,500 milliliters of water. How many liters of water did it hold? A 250.0 liters B 25.0 liters C 0.25 liters D 2.5 liters

Answers

Answer:

2.5 liters

Step-by-step explanation:

Each cube has 2-inch-long edges. What is the volume of the figure?

Answers

Answer:

8 inches (to the third power)

Step-by-step explanation:

The formula for the volume of a cube is V = s^3 (side to the third power)

So if we plug in '2' then we get our volume

2 * 2 * 2 = 8

I hope this helps !

A clothing retailer is gathering data on the amount of time each customer spends shopping in its stores. Each location collected 20 pieces of data and will compile that data to determine a population mean. One location has a sample mean of 32.5.

Which statement must be true about this situation?

A.
The population mean is also 32.5.
B.
There is not enough information to make a conclusion about the population mean.
C.
The population mean must be greater than 32.5.
D.
The population mean must be less than 32.5.

Answers

Answer:

B

Step-by-step explanation:

How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.

Answers

Answer:

Average rate of car: x+3

Walking rate: x

The equation is  

10/15 = x/x+3

So

x = 6

So

Average rate of car: 9 mph

Walking rate: 6 mph

Step-by-step explanation:

Answer:

Average rate of car: 9 mph  

Walking rate: 6 mph

Step-by-step explanation:

3(6x-5)-7(3x+10)=0. solve for x

Answers

Answer:

x = -85/3

Step-by-step explanation:

The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given expression is:

3(6x-5)-7(3x+10)=0

now, we have to simplify the expression to solve for x

we get,

3(6x-5)-7(3x+10)=0

or, 18x - 30 - 21x - 70 = 0

or, 18x - 21x -30 - 70 = 0

or, - 3x - 100 = 0

or, 3x = -100

or, x = -100/3

or, x = - 33.33

Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

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A set of data is Normally distributed with a mean of 25 and a standard deviation of 5. What percent of values are between the z-values –0.4 and 0.6? Round to the nearest whole percent.

Use the z-table to answer the question.

9%
19%
38%
49%

Answers

Answer:

38%

Step-by-step explanation:

Answer:

38% is correct

ED2021

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