Answer:
The width is 22.5 feet and the length 45 feet.
Step-by-step explanation:
Let l represent the length of the rectangle and w represent the width of the rectangle. The cost of the fence (C) is:
C = 2l + 2w + 2l + 6w
C = 4l + 8w
360 = 4l + 8w
360 = 4(l + 2w)
90 = l + 2w
l = 90 - 2w
Area (A) of rectangle = length * width
A = l * w
Put l = 90 - 2w
A = (90 - 2w)w
A = 90w - 2w²
The maximum area is at A' = 0, hence:
Differentiating gives:
A' = 90 - 4w
Put A' = 0
0 = 90 - 4w
4w = 90
w = 22.5 feet
l = 90 - 2w = 90 - 2(22.5) = 45 feet
Hence the width is 22.5 feet and the length 45 feet.
Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
(4,5)
(5,6)
(6,7)
(7,8)
(8,9)
(9,10)
(10,11)
(11,12)
If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?
This equation was solved incorrectly.
6x – 2(4x – 6) = 16
6x + 8x – 12 = 16
14x – 12 = 16
Step 1:
Step 2:
Step 3:
Step 4:
14x = 28
x=2
Which step contains the first error? Explain the error.
Describe 3 types of maps
Answer:
population-amount of people per sq ft
climate- the average climate in that are
physical- elevation, landmarks,
Step-by-step explanation:
Please help me with all, I will mark brainliest as long as u tell me how u got those answers
What is the answer for Expanding
2t(6t-3)
Answer:
Step-by-step explanation:
12t2 - 6t
Look at this coordinate plane
Which equation can be used to find the y-coordinate of point B?
y/1=23
y/2=56
y−1/2=4/6
y−1/2=y−5/4
Answer:
Hrmm
Step-by-step explanation:
Find the midpoint of the line segment from (0,4) to (-1,3)
MIDPOINT=
Answer:
Midpoint = (-0.5, 3.5)
Step-by-step explanation:
Solve x2 – 8x + 15 < 0.
Select the critical points for the inequality shown.
Answer:
x=3,5
Explanation:
x2−8x+15=0
Try to express the terms of the equation in square form.
Adding 16 both sides of the equation,
(x2−2⋅x⋅4+42)+15=16
or,(x−4)2+15−16=0
or,(x−4)2−1=0
or,(x−4)2−12=0
This is the a2−b2=(a+b)(a−b)form.
(x−4+1)(x−4−1)=0
or,(x−3)(x−5)=0
Now, equate both the terms to zero since both of them when multiplied, give zero.
Either,
x−3=0
∴x=3
Or,
x−5=0
∴x=5
Ans:x=3,5 Hope this helpsXD...!!
Answer:
3<x<5
Step-by-step explanation:
an Univariate quadratic polynomial can be divided into the product of two first order equations
In this example, x2 - 8x + 15 = (x-3) * (x-5) <0
as a result. the answer is 3< x <5
A fast-food restaurant sold 54 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 9: 5, how many burgers did they sell total?
Answer:
Step-by-step explanation:
We can write an relationship for this as:
3
:
2
→
24
:
b
Where
b
is the number of burgers sold without cheese.
We can rewrite the relationship as an equation and solve for
b
:
3
2
=
24
b
2
3
=
b
24
24
×
2
3
=
24
×
b
24
48
3
=
24
×
b
24
16
=
b
b
=
16
The restaurant would of sold
16
burgers without cheese with the information provided in the problem.
What is the value of 6a + 2b if a = 1 and b = 2?
Answer:
3a + 2b ; a=1, b =-2
3
(
1
)
+
2
(
−
2
)
(substitute the values of the variables)
From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).
3
+
(
−
4
)
(simplify)
3
−
4
=
−
1
So here, what we've proven is that in our given equation, if
a
=
1
and
b
=
−
2
, then it would yield us a product of
−
1
.
Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.
Try another:
6
a
2
−
b
+
8
with a = 1 and b = 3
6
(
1
)
2
−
(
3
)
+
8
6 - 3 + 8
= 11
Just as a sidenote here, make sure you're aware of the difference between
(
6
x
)
2
and
6
x
2
. The former refers to both the 6 and the
x
being squared, whereas the latter shows only the
x
being squared. Just be careful not to mix the two.
Try one more:
2
c
−
5
3
b
+
4
with b = 2 and c = 4
2
(
4
)
−
5
3
(
2
)
+
4
=
8
−
5
6
+
4
=
3
10
(or 0.3)
Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.
Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
6a + 2b
6(1)+2(2)
6+4
=10
In the equation
2
3
x
=
10
, what is the value of x?
Answer:
23/10 or 15
Step-by-step explanation:
what is tan 11pie divided by 6?
Answer:
1/6 tan(11 π) = 0
Alternate representations:
1/6 tan(11 π) = -1/6 cot((21 π)/2)
1/6 tan(11 π) = -1/6 cot((23 π)/2)
1/6 tan(11 π) = 1/(6 cot(11 π))
Step-by-step explanation:
Solve eight and four eighths minus five and five sixths.
(Giving extra points on this one)
A) two and twelve forty eighths
B) two and thirty forty eighths
C) three and one fourteenth
D) three and twelve fourteenths
(Here is an image if needed) :
Answer:
B: 2 32/48
Step-by-step explanation:
8 4/8 - 5 5/6
Turn to fractions:
8 4/8 = 68/8
5 5/6 = 35/6
Common denominator: 24
68 x 3 = 204
8 x 3 = 24
35 x 4 = 140
6 x 4 = 24
Set-up:
204/24 - 140/24
Solve:
64/ 24
Simplifying to Mixed Number:
64/24 = 8/3 = 2 2/3 = 2 32/48
Answer:
b
Step-by-step explanation:
say periodt as many times as you can will give brainly
Answer:
periodtperiodtperiodtperiodtperiodtperiodtperiodtperiodt
Step-by-step explanation:
periodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodteriodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperdtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodtperiodttperioodtperiodtperiodtperi
Answer:
anna oooppppddpkddkjdjdfhjndjd-
Step-by-step explanation:
Mr. Grove cut down in tree in his yard. He gave 1/3 of the tree to his neighbor and 1/6 of the tree to his brother. Mr. Grove kept the remaining portion. How much tree did he keep?
A. 1/3
B. 2/3
C. 1/2
D. 5/6
Answer:
1/2 or C
Step-by-step explanation:
1/3 = 2/6. 2/6 + 1/6 = 3/6. that leaves 1/2 left over
hey, I wanted to know if anybody was kind enough to help me solve this! I'm super confused and I just don't know what to do. please help me, it'll mean a lot to me. actually
Answer:
The answer should be B
You can run 10 miles in 80 minutes. How far can you run in 2.5 hours?
Answer:
18.75 miles
Step-by-step explanation:
1 hour = 60 minutes
2.5 Hours = 150 minutes
10 miles _____> 80 minutes
x_______> 150 minutes
x= ( 150 * 10) / 80
= 1500/80
x= 18.75 miles
easy
Answer:
Step-by-step explanation:
10 miles- 80 minutes
?- 150 minutes
1500+80x
X= 10.75 miles
¿De qué forma calcularía Luisa la medida de la tira bordada?
the 200th term of the arithmetic progression 10 97,94,91,.............is
Answer:
-500
Step-by-step explanation:
Given sequence;
97, 94, 91 ......
Unknown;
The 200th term of the sequence;
Solution:
Since we were given an arithmetic progression, we need to first find the common difference;
Common difference = second term - first term
= 94 - 97
= -3
To find the 200th term, we use the expression below;
Sn = a + (n-1)d
a is the first term
n is the nth term
d is the common difference
S₂₀₀ = 97 + (200 - 1 ) x -3 = -500
2 3/9+3/7
fraction please answer fast
Answer:
2 16/21
Step-by-step explanation:
need someone’s help with this please!!!
Answer:
Option 3
Step-by-step explanation:
Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.
x+5=2x-5
2x-x=5+5
x=10
what is 5+5 and then divided by 8
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?
PLEASE HELP ASAP!!!!
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
19) slope=2 y-intercept is 1 equation is y=2x+1
20) slope=-4 y-intercept is 4 equation is y=-4x+4
21) slope=-1/3 y-intercept is -5 equation is y=-1/3x-5
22) slope=-2/3 y-intercept is -5 equation is y=-2/3x-5
23) slope=-8 y-intercept is is -4 equation is y=-8x-4
24) slope=5 y-intercept is -3 equation is y=5x-3
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
2.1-?=1 1/2
Please answer this I don’t want to fail
Susie has 26 baskets of apples. Each basket can hold 12 apples. Can Susie fit all her apples in her baskets?
Answer: Yes, Susie can fit all her apples in her baskets.
Step-by-step explanation: If she has 26 baskets filled of apples and can hold 12 apples each, then she can fill 2 baskets with apples and have a remainder of 2 apples left.
Find the balance of an account after 7 years if &700 is deposited into an account paying 4.3% interest compounded monthly.
The required balance is $939.9
Given,
Time=7 years
Principal=700
Rate=4.3%
Compound Intrest:
Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
The formula of the compound interest is,
[tex]A=P(1+\frac{r}{100})^T[/tex]
Now, substituting the given values into the above formula we get,
[tex]A=P(1+\frac{r}{100})^T \\A=700(1+\frac{4.3}{100})^7\\ A=939.9[/tex]
Learn More about Compound Intrest:
https://brainly.com/question/21072972
4. The binomial 12x+15 is equivalent to
(1) 2(6x +15)
(3) 6(6x+9)
(2) 5(12x+3)
(4) 3(4x+5)
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46