can someone pls help i don't think im gonna pass this at all
Farmer Bob has a small square garden that is x feet by x feet. What is the area of his garden?
He decides to add 2 feet to one side of the garden and 7 feet to the other side.
What are the lengths of the sides of the new garden?
What is the area of the new garden?
Answers
Answer:
The area of the original garden is x^2 square feet.
The lengths of the sides of the new garden are x + 2 feet and x + 7 feet.
The area of the new garden, in square feet, is
[tex](x + 2)(x + 7)[/tex]
[tex] {x}^{2} + 9x + 14[/tex]
1) the area of his garden is, x² feet²
2) the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
And, the area of the new garden is,
Area = x² + 9x + 14
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Farmer Bob has a small square garden that is x feet by x feet.
Now,
We know that;
Area of square = Side²
Here, Side = x feet
Hence, the area of his garden is,
Area = x × x
Area = x² feet²
Now, When He decides to add 2 feet to one side of the garden and 7 feet to the other side.
Then, the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
Hence, the area of the new garden is,
Area = (x + 2) (x + 7)
Area = x² + 2x + 7x + 14
Area = x² + 9x + 14
Thus, 1) the area of his garden is, x² feet²
2) the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
And, the area of the new garden is,
Area = x² + 9x + 14
Learn more about the multiplication visit:
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Related Questions
Johnathan has 30 chocolates.He gives some chocklage to his friend David. He then gives Sarah half the number of chocolates he gave David and gives Lily two thirds of what he gave David. After giving away the chocolates,Johnathan has 4 chocolates left. If the number of chocolates Johnathan gives David is x, which equation represents the situation? How many soultiona does this equation have?
Answers
Hope this helped:)
x+1/2x+2/3x+4=30, which has one solution
Describe how you would draw or construct a kite in geometric terms.
Answers
Step-by-step explanation:
following properties have been used in constructing the kite
1. diagonals at right angles
2. one of the diagonals bisect
3. pairs of consecutive sides are equal
Write an equation in slope-intercept form of the line.
Answers
Answer: mx+b=y
Step-by-step explanation:
Rise over run
3.
(a)
Expand and simplify 3(x - 3y) + 6y - 8x
SOME1 PLSS HELPP
Answers
Answer:
3(x - 3y) + 6y - 8x
Perform the distributive property;
3x - 9y + 6y - 8x ← Expanded form
Group like terms:
(3x - 8x) (-9y + 6y)
-5x - 3y ← Simplified form
Answer:
I believe it is -5x - 3y
which equation or function is linear?
A. 3xy=4
B. f(x)=2/3(1-x^2)
C. 2y=(2x-1)/4
D. y=3/x+1
Answers
9514 1404 393
Answer:
C. 2y = (2x-1)/4
Step-by-step explanation:
An equation is linear when the exponents of the variables are 1 and the sum of the exponents of the variables in any term is 1.
a) 3xy = 4 . . . . sum of exponents is 1+1=2
b) f(x) = 2/3(1 -x^2) . . . . exponent is 2
c) 2y = (2x -1)/4 . . . . all exponents are 1 (linear)
d) y = 3/(x+1) ⇒ xy +y = 3 . . . . sum of exponents is 1+1 = 2
What operation is this that’s all
Answers
Answer:
Word problem is the operation
Can you find the perimeter of each rectangle and type the correct code? Please remember to type in ALL CAPS with no spaces. *
Answers
Answer:
CEFA
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of the 4 sides. A rectangle has two lengths of equal size and two width of equal size. To find the perimeter, add the length and width and multiply by 2.
1. perimeter = 2(3x + 2 + 2x) = 2(5x + 2) = 10x + 4
2. perimeter = 2(4x + 1 + x) = 2(5x + 1) = 10x + 2
3. perimeter = 2(x + 5 + 7) = 2(x + 12) = 2x + 24
4. perimeter = 2(4x - 3 + 5) = 2(4x + 2) = 8x + 4
Codes:
1. C
2. E
3. F
4. A
A recylcying center was offering cash for different types of recylcables. For each pound of copper they paid $1.48. For each pound of aluminum they paid $1.55. And for each pound of plasic they paid $0.30. Jesse took in 50 pounds of copper, 15 pounds of aluminum, and 10 pounds of plastic. How mush money was he paid for his recyclables?
Answers
Answer:
$100.25
Step-by-step explanation:
To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make [tex]T[/tex] for total, [tex]c[/tex] for the amount of copper, [tex]a[/tex] for the amount of aluminum, and [tex]p[/tex] for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: [tex]T=1.48c+1.55a +.30p[/tex]
Now that we have an equation written out, we can plug in the amount of each material to get [tex]T=1.48(50)+1.55(15)+.30(10)[/tex]. We can then simplify this by following PEDMAS and multiplying to get [tex]T=74+23.25+3[/tex] and then all we have left is to add to get [tex]T=100.25[/tex]
write 5/10 in three equivialent forms.
Answers
Answer:
10/20
40/80
80/160
Step-by-step explanation:
5/10 x 2 = 10/20
5/10 x 8 = 40/80
5/10 x 16 = 80/160
Hope this helps!!
Have an amazing day!!
Please rate and mark brainliest!!
Which expression is equivalent to 3(v + 8)? (3 + v)8 8(v + 3), (v + 8)3, or 11v
Answers
Answer:
the answer is (v+8)3
(my answer needs to be longer so I'm writing this)
3 = 0.2m - 7
i need to show my work pls hurry!
Answers
[tex]3 = 0.2m - 7[/tex]
[tex]3 + 7 = 0.2m[/tex]
[tex]10 = 0.2m[/tex]
[tex] \frac{10}{0.2} = m[/tex]
plug it on your calculator or multiply 10 by 5
[tex]m = 50[/tex]
can you guys give me the correct answers to this
Answers
Answer:
ok so we know that all lights are either red, yellow or blue so first lets add up the red and yellow
26+37=63
ok so that means that 63 out of the 95 are red or yellow now lets see whats left for blue
95-63=32
32 blue
Hope This Helps!!!
Answer:
32
Step-by-step explanation:
95-26-37=32
use subtraction
a toy which was bought for rupees 100 was sold at rupees 90. what was the loss in percentage
Answers
Answer:
Step-by-step explanation:
Cost of toy =100
Selling price = 90
Loss = 100
Loss in percentage = 10/90*100
Loss in %= 11.11
If you are good at Math please HELP!! Brainliest!!
A conjecture and the paragraph proof used to prove the conjecture are shown.
GIVEN: ABCD is a parallelogram
DC bisects ∠BDE
PROVE: ∠1 ≅ ∠3
Drag an expression or phrase to each box to complete the proof.
Answers
Answer:
Please see below :)
Step-by-step explanation:
Angle 2 is congruent to angle 3 by definition of angle bisector.
Angle 1 is congruent to angle 3 by the transitive property of congruence.
Please let me know if something's wrong!
The missing values are:
<2 = 1/2 ∠BDE by Angle Bisector Theorem.
<3 = 1/2 ∠BDE by the transitive property
It is given that ABCD is a parallelogram, so AB || DC by the definition of parallelogram.
So, <1 and <2 are corresponding angles.
Therefore, <1 ≅ <2 by the Corresponding Angles Theorem.
It is also given that DC bisects ∠BDE,
So <2 is half the measure of ∠BDE by the Angle Bisector Theorem. Therefore, <2 = 1/2 ∠BDE.
Therefore, <3 is also half the measure of ∠BDE by the Transitive Property. Thus, <3 = 1/2 ∠BDE.
Therefore, <1 ≅ <3 by the transitive property of congruence.
Learn more about Angle Bisector here:
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Which of the following items would be considered an asset? Select all that apply.
gaming system
stereo equipment
camera
computer
cell phone
Answers
The slope of the line shown in the graph is
and the y-intercept of the line is
Answers
Answer:
y-intercept is 6, the slope is 2/3
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.
A gym charges $100 as the membership fee and $20 monthly fee. Use the explicit rule f(n)=20n+100 to construct and graph the sequence.
Answers
Answer:
Step-by-step explanation:
Answer:
the answers in the photo
Step-by-step explanation:
17 Mia wants to compare the 100-meter
dash times of 14.084 seconds and
14.102 seconds. Which is the correct
way to compare these two times?
A. 14.084 > 14.102
B. 14.084 < 14.102
C. 14.102 = 14.084
D. 14.102 < 14.084
Answers
B. 14.084 < 14.102
< means : less than - smaller than
What is the slope of the line whose equation is 12=4x-6y?
Answers
Answer:
4x-6y-12=0 than it passes through the origin so.distance equals /ax+by+c/all over a^2+ b^2= 4(0)+6(0)-12/4^2+6^2= -12/16+36=12/52=0.23077
Nisha did the work below to solve an equation.
Step 1
Step 2
Step 3
Step 4.
7b+3.2b-5-18.92
10.2b-5-18.92
5.2b- 18.92
D=3.64
In which step did Nisha make her first error?
O Step 1
O Step 2
O
Step 3
Step 4
Answers
Answer:step 3
Step-by-step explanation:
Answer:
Step 3.
Step-by-step explanation:
She subtracted the 5 from 10.2b even though 5 did not have the variable b.
Josie is playing a computer game where
she earns 5 points Bach time She answer
a Question correctly. She lose 0.5 point
when she answers a question incorrectly.
Josie had a score of 8 points before she-
answered 9 questions in a row incorrectly. What is Josie's score now?
A. 2.5 points
B.3.5 points
C.12 points
D.53 points
Explain answer
Answers
Answer:
b
Step-by-step explanation:
because u will subtract 0.5 from 8 nine times
8-0.5= 7.5
7.5-0.5=7.0
7.0-0.5= 6.5
6.5-0.5=6.0
6.0-0.5=5.5
5.5-0.5=5.0
5.0-0.5=4.5
4.5-0.5=4.0
4.0-0.5=3.5
© ? Jordan invests £2100 into his bank account. He receives 5.1% per year simple interest. How much will Jordan have after 2 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
£2314.20
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principal amountr = annual interest rate (as a decimal)t = time (in years)Given:
P = £2100r = 5.1% = 0.051t = 2 years⇒ A = 2100(1 + 0.051 · 2)
⇒ A = 2100(1.102)
⇒ A = £2314.20
Regular hours worked = 40; Overtime hours worked = 8; Regular rate of pay = $8.25 per hour*
O $330.00
O $99.00
O $429.00
O $276.00
Answers
Answer:
$396
Step-by-step explanation:
Rate of pay per hour = $8.25
Regular hours worked = 48
Overtime hours worked = 8
Total hours worked = 40 + 8
= 48
∴ Money earned in a day = 48 × $8.25
= $396
Hope this helps!
HELP ASAP!!
which is greater AC or 4 or neither or both are equal
Answers
HOW DO I SOLVE THIS HELP
Answers
Answer:
[tex]x=2\sqrt5[/tex]
Step-by-step explanation:
I'm assuming that 15 is the length of only part of the hypotenuse of the larger triangle.
The remaining part can be easily found by noticing that the red triangle is half an equilateral triangle of side x, so the missing part is x/2.
Now for a known theorem (easily proved with the fact that triangles AHC and ABC are similar) you can write the following equation containing x:
[tex]x^2 = \frac x2 ( \frac x2 +15) \rightarrowx^2 = \frac {x^2}4+15 \\\\3x^2=60 \rightarrow x^2 = 20 \\x=2\sqrt5[/tex]
(where we obviously took only the positive root since x is a lengtth measure.
Find the total amount of an investment of $413.99 compounded at 4.25% for 8.5 years
Answers
Answer:
Present Value = $413.99
Interest rate = 4.25%
Years = 8.5 years
Future value = P(1+I)^n
Future value = $413.99*(1+0.425)^8.5
Future value = $413.99*(1.0425)^8.5
Future value = $413.99*1.4244478
Future value = $589.707144722
Future value = $589.71
The total amount to be earned as a result of the investment for 8.5 years is $589.71.
If you deposit $4500 into an account that pays 5% annual interest compounded quarterly, how money wil you have after 10 years?
Answers
Answer:
Step-by-step explanation:
hope this help
Please help I will give brainliest
Answers
Answer:
30ft
Step-by-step explanation:
i think by common sense as an high schooler
8 times 5 equals 40ft and 6 times 5 equals 30 ft
What is the inverse of the given coordinates: (-2, 2) (3, 0) (7,7) *
Answers
Answer:
[tex]2. - 2 \\ - 3.0 \\ - 7. - 7[/tex]
An isosceles triangle has a perimeter of 28cm and sides of integer length.
How many different such triangles can be made?
Answers
Answer:
over 18716271717161626cm
To solve this question, we have to:
Understand the concept of an isosceles triangle.Understand the perimeter concept.Understand the constraint needed to represent a triangle.Doing this, we get that: 6 different such triangles can be made.
Isosceles triangle:
In an isosceles triangle, two sides have the same measure. An example is given by the picture at the end of this answer.
Perimeter:
The perimeter of a polygon, in this case a triangle, is the sum of all it's sides.
Constraint:
The sum of the lengths of the two smaller sides of a triangle has to be greater than the length of the greater side.
This triangle:
Perimeter of 28.Two sides of x.One side yThus, the perimeter is:
[tex]P = 2x + y = 28[/tex]
Now, for the values of x, we find if the values of y generate a triangle, respecting the constraint.
x = 1
[tex]2 + y = 28 \rigtharrow y = 26[/tex]
1 + 1 < 26, thus, the constraint is not respected.
x = 2
[tex]4 + y = 28 \rightarrow y = 24[/tex]
2 + 2 < 24, thus, the constraint is not respected.
x = 3
[tex]6 + y = 28 \rightarrow y = 22[/tex]
3 + 3 < 22, thus, the constraint is not respected.
x = 4
[tex]8 + y = 28 \rightarrow y = 20[/tex]
4 + 4 < 20, thus, the constraint is not respected.
x = 5
[tex]10 + y = 28 \rightarrow y = 18[/tex]
5 + 5 < 18, thus, the constraint is not respected.
x = 6
[tex]12 + y = 28 \rightarrow y = 16[/tex]
6 + 6 < 16, thus, the constraint is not respected.
x = 7
[tex]14 + y = 28 \rightarrow y = 14[/tex]
7 + 7 = 14, thus, the constraint is not respected.
x = 8
[tex]16 + y = 28 \rightarrow y = 12[/tex]
8 + 8 > 12, thus, the constraint is respected, and this is the first possible triangle.
x = 9
[tex]18 + y = 28 \rightarrow y = 10[/tex]
9 + 9 > 10, thus, the constraint is respected, and this is the second possible triangle.
x = 10
[tex]20 + y = 28 \rightarrow y = 8[/tex]
8 + 10 > 10, the constraint is respected, and this is the third possible triangle.
x = 11
[tex]22 + y = 28 \rightarrow y = 6[/tex]
11 + 6 > 11, the constraint is respected, and this is the fourth possible triangle.
x = 12
[tex]24 + y = 28 \rightarrow y = 4[/tex]
4 + 12 > 12, the constraint is respected, and this is the fifth possible triangle.
x = 13
[tex]26 + y = 28 \rightarrow y = 2[/tex]
13 + 2 > 13, the constraint is respected, and this is the sixth possible triangle.
x = 14
[tex]28 + y = 28 \rightarrow y = 0[/tex]
Cannot have a triangle with a side of 0, so this is not possible.
After the tests, we have that 6 different such triangles can be made.
A similar question is given at https://brainly.com/question/6139098