A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Write an equation that represents the AREA of the garden
Find the value of x using the square root method
What is the length of the side of the garden?
Answers
Answer:
400 = (x - 10)²
x² -20x -300 = 0
x = 30 and x = -10
Length side of the garden = 20 feet
Step-by-step explanation:
Given:
Area of square garden = 400 square feet
Length side of the garden = (x - 10) feet
Find:
Length side of the garden
Computation:
Area of square = side²
Area of square garden = Length side of the garden²
400 = (x - 10)²
400 = x² -20x + 100
x² -20x -300 = 0
x² -30x + 10x -300 = 0
x(x - 30) + 10(x - 30) = 0
(x - 30)(x + 10) = 0
So,
x = 30 and x = -10
Use x = 30 positive number
Length side of the garden = (x - 10) feet
Length side of the garden = (30 - 10) feet
Length side of the garden = 20 feet
Related Questions
The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?
an obtuse triangle
a right triangle
an acute triangle
an equilateral triangle
Answers
Answer:
acute triangle
Step-by-step explanation:
acute triangle
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?
Answers
Answer: There are 177100 possible groups.
Step-by-step explanation:
Given: Total employees = 25
Number of employees wants to choose = 6
The combination of n things taken r at a time is given by:-
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Put n = 25 and r= 6, we get
[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]
Hence, there are 177100 possible groups.
Each of 100 people receives a random item from a grocery store and assigns it a value between 1 (low) and 10 (high). They trade those items among themselves for items they prefer rather than those they randomly received and then assign a second value (again, 1 to 10) to the item that they end up with after the trading concludes. How would the sum of those values before trading compare with the sum after trading
Answers
Answer:
The answer is "After trading, the value would be higher because preferences are diverse".
Step-by-step explanation:
Every person receives a resulting in the possibility from either a grocery shop and gives a value of from 1 to 10. (high). Participants trade these goods with each other for items that prefer to receive randomly but instead assign a second value to the object that finishes after the trade is concluded (1 to 10 again). Its value would've been higher after trading because the total of those before trading choices is unique compared to an exchange sum.
Please do this for me I’m having a very hard time and failing math because of this!
Answers
Answer:
Which answer do you need
Step-by-step explanation:
Find the next 3 terms of the following sequence -4,-9,-14
Find the next 3 terms of the following sequence 3,12,48
Answers
Answer:
-19,-24,-29
192,768,3072
Step-by-step explanation:
for the first equation its going down by 5
for the second its multiplying by 4 everytime
Solve the expression for a=12, b=6 and c=3
Look at the picture will give Brainlist !
Answers
Answer:
a=1 c=3 b=3
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{ {a}^{2} - bc}{b} = \frac{ {12}^{2} - 6 \times 3}{6} = \frac{144 - 18}{6} = \frac{126}{6} = 21[/tex]
Help please it would do me much help if you do
Answers
Answer: 1056 in.³
Step-by-step explanation: The formula for finding the volume of a rectangular prism is V = L × W × H. (Volume equals Length times width times height.) 11 × 4 × 4 = 176. To find the volume of all the rectangular prisms, you multiply the volume of one of the prisms by 6 because there are 6 prisms shown. The total volume of the shape is 1056 in³.
I hope this helps, have a nice day.
18 * 3 represents one way that some cans are placed in equal groups on shelves
Answers
Answer:okay I think you might have to multiply
Step-by-step explanation:
It says cans are places in equal groups so if you do 18 x 3 you get 54
What is the area of the shape
Answers
FOR TRAN HERE YOU GO
Answers
Step-by-step explanation:
(B) L = 182.9 cm +- 0.1 cm
W = 152.4 cm +- 0.1 cm
(C)
Smallest dimensions possible:
L = 182.9 cm - 0.1 cm = 182.8 cm
W = 152.4 cm - 0.1 cm = 152.3 cm
A = (182.9 cm)(152.3 cm)
= 27840.44 cm^2
To find the uncertainty for the area ∆A, we use the formula
[tex] \frac{da}{a} = \frac{dl}{l} + \frac{dw}{w} [/tex]
where da = ∆A, dl = ∆L, dw = ∆W
[tex] \frac{da}{27840.44 {cm}^{2} } = \frac{0.1cm}{182.8cm} + \frac{0.1cm}{152.3cm} [/tex]
[tex] = 0.000547 + 0.000657[/tex]
[tex] = 0.001204[/tex]
Therefore
∆A = 0.001204 × 27840.44 cm^2
= 33.52 cm^2
Rounding off the numbers to their significant figures,
A = 27840 cm^2 +- 33 cm^2
(D)
For the largest possible area,
L = 183.0 cm
W = 152.5 cm
A = 27905.5 cn^2
[tex] \frac{da}{27907.5 {cm}^{2} } = \frac{0.1cm}{183.0cm} + \frac{0.1cm}{152.5cm} [/tex]
[tex] = 0.001202[/tex]
∆A = 0.001202 × 27907.5 cm^2
= 33.55 cm^2
Therefore, the largest possible area is
A = 27910 cm^2 +- 33 cm^2
Which of the following is most likely the next step in the series?
Answers
Answer:
what is the topic
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Find the indicated side. Round to the nearest tenth if necessary.
Answers
PLS HELP 6TH GRADE PLEASE
Answers
Answer:
6 x 5 x 1/2(divide by 2) = 15, 15 x 2(two triangles) = 30
27 x 6 = 162 (area of base)
27(width) x 6(height) x 2(two rectangles on both slanted sides) = 324
Add given areas:
30 + 162 + 324 = 516 ft2 is your answer.
Students took a typing test. The number of words per minute students could type are listed below. 40, 47, 25, 32, 48, 55, 33, 56, 32, 47, 32 What is the median number of words per minute the students could type?
Answers
Answer:
50
Step-by-step explanation:
The median number is known as the middles number
The first step is to rearrange the set of numbers starting from the lowest
25, 32, 32, 32, 33, 40, 47, 47, 48, 55, 56
Hence the middle number is 50
please help quickly pls D:
Answers
Find the distance between ( – 5,2) and (7, – 7).
Answers
Answer:
15 bc its when you subtract both numbers than dived
Step-by-step explanation:
Here's the revenue and expenses for the month. Calculate whenever Mia had a profit or loss.
Answers
Answer:$450 i think?
Step-by-step explanation:
Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?) She mixes 8 cups of water with 2 cups of vinegar. If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add? (**There are 16 cups in a gallon)
Answers
Answer:
To make a gallons,
Ms. O'Brien needs
12 8/10 cups of water or 12.8 cups of water
3 1/5 cups of water or 3.2 cups of vinegar
Step-by-step explanation:
Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?)
She mixes 8 cups of water with 2 cups of vinegar.
Hence: The total number of cups for the cleaning mixture = 8 cups of water + 2 cups of vinegar = 10 cups
If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add?
Note that: There are 16 cups in a gallon
Hence:
For number of cups of water:
10 cups of cleaning mixture = 8 cups of water
16 cups of cleaning mixture = x
Cross Multiply
10x = 16 × 8
x = 16 × 8/10
x = 12 8/10 cups of water or 12.8 cups of water
For the number of cups of vinegar
10 cups of cleaning mixture = 2 cups of water
16 cups of cleaning mixture = x
Cross Multiply
10x = 16 × 2
x = 16 × 2/10
x = 3 1/5 cups of water or 3.2 cups of vinegar
Therefore, to make a gallon
Ms. O'Brien needs
12 8/10 cups of water or 12.8 cups of water
3 1/5 cups of water or 3.2 cups of vinegar
Find the sum of the first 40 terms of the arithmetic sequence: 16,24,32,40
Answers
Answer:
320 is the answer
Step-by-step explanation:
8x40=320
Esther is getting balloons for her father's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Esther wants to get 65 balloons, how many yards of string will she need? 1 foot = 1 3 yard
Answers
Answer: She needs 130 of string .
Step-by-step explanation:
Given: Length of each ballon string = 6 feet
Total number of ballons = 65
Total string required = ( Length of each ballon string) x (Total number of ballons)
= 6 x 65
= 390 feet
Since 1 foot = [tex]\frac 13[/tex] yard
So, [tex]390\ feet = 390\times\frac13\ yards[/tex]
= 130 yards
Hence, She needs 130 of string .
is .8x+1.5y=-6 a linear function?
Answers
Answer:
Yes, it is a linear function
Step-by-step explanation:
The given equation, .8x + 1.5y = -6, is a linear function.
It is in the format of the linear equation Ax + By = C.
In this equation, 0.8 is A, 1.5 is B, and -6 is C.
So, it is a linear function.
Answer:
yes
Step-by-step explanation:
[tex]0.8 x= 1.5y = -6\\0.8x + 6 = 1.5y\\\frac{0.8}{1.5}x + \frac{6}{1.5} = y\\\\y = \frac{8}{15}x + \frac{60}{15}\\\\y = \frac{8}{15}x + 4[/tex]
Therefore y is an equation of a line with slope 8/15 and y - intercept = 4
By the end of February, Rachel's family had used 7,800 kilowatt hours (kWh) of electricity since they had moved in. On average, her family uses 900 kWh of electricity every month. Let x represent the number of months since the end of February and let y represent the electric meter reading, in kWh.
Answers
hey! i’ll give brainliest please help
Answers
Answer:
It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.
Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.
Choice B would work, as it follows the definition of a Compound Sentence.
Choice C wouldn't work, that would be a Complex Sentence
Choice D wouldn't, that would be a Simple Sentence.
Also, note that this question is something for the Language Arts section.
Answer:
B. A sentence that includes two independent clauses connected by a conjunction.
Step-by-step explanation:
Compound sentences can make your writing very rich as you can connect two distinct independent clauses (no dependent clauses) using coordinating conjunctions such as for, and, nor etc (FANBOYS).
Example would be:
Juan likes to hunt, and he is going hunting on Sunday.
"Juan likes to hunt" is an independent clause where "Juan" is the subject, "likes" is the action, and a complete thought is expressed because we know what he likes to do now.
"He is going hunting on Sunday" is an independent clause where "He" is the subject, "is going" is the action, and a complete thought is expressed as we now know where he is going Sunday and what action he is doing.
The conjunction "and" is used, and a comma is correctly placed before "and."
if f(x)=4x+5 what is the value of f(-3)
Answers
Answer:
-7
Step-by-step explanation:
f(x)=4x+5
Let x =-3
f(-3)=4*-3+5
Multiply
f(-3)=-12+5
Add
f(-3) = -7
How to do this???? Pls
Answers
Answer:
a: 7
b:80
c: x-1^2-9=y
The distribution of the values of a population is shown below, and a simple Random sample is drawn from the population. Based on this information alone, can the same will be used to make inferences about the population?
Answers
Answer: C
Step-by-step explanation:
Yes, because the population values appear to be normally distributed
A package 35 pencils costs $7.00. At this rate, what is the cost of 1 pencil?
Answers
.......................
Answer:
$0.20
Step-by-step explanation:
We need to find the unit rate in order to find the price of 1 pencil.
Divide the price by the amount.
7/35=1/5
A dollar is 100 cents, so the price is 1/5 of 100, or 20 cents.
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hope it helps
What’s the answer of B? Help me please. It’s due in 28 mins :((
Answers
Answer:
43.9
Step-by-step explanation:
So this is as long as ____ so I'm not going to write the steps.
If it requires them, then I will.
Add everything together:
Gives you 1317.
Divide it by the number of objects:
30
1317/30=43.9
Cherry pies cost $12 each. Apple pies cost $9 each. You sold 20 pies and brought in $198. How many apple pies did you sell? How many cherry pies did you sell?
Answers
Answer:
You sold 6 cherry pies and 14 apple pies.
Step-by-step explanation:
It's a system of equations problem.
12C + 9A = 198
A + C = 20
A = 20 - C
12C + 9(20 - C) = 198
12C + 180 - 9C = 198
3C + 180 = 198
3C = 18
C = 6
A + 6 = 20
A = 14
Answer:
Cherry Pie=$12 per 1
Apple pie= $9 per 1
Let x represent number of Cherry Pies sold.
let y represent number of Apple pie sold
x + y = 20---------------1
12x + 9y = 198---------2
From eqn 1
x=20-y
Substitute into eqn 2
12x + 9y = 198
12(20-y) + 9y=198
240 - 12y + 9y = 198
240 - 3y =198
3y = 240 - 198
3y=42
y=14.
x + y =20
x + 14=20
x=20-14
x=6.
So...
Its means that I SOLD 6 CHERRY PIES AND 14 APPLE PIES
pliss answer and give evidence
Answers
Answer:
8(4m + 1) --> 32m + 8
5(5 + x) --> 25 + 5x
Step-by-step explanation:
8(4m + 1)
8 x 4m = 32m
8 x 1 = 8
32m + 8
5(5 + x)
5 x 5 = 25
5(x) = 5x
25 + 5x