I know how to do it but right now I'm cooking and have no time please say if the first part is right and the second part will be much appreciated!
Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.
------------------
Part B will have you replace x with 8 and simplify
length = x+15 = 8+15 = 23
width = x+3 = 8+3 = 11
the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards
Answer:
Below
Step-by-step explanation:
As we see the area is expressed as second degree polynomial
We have already a side wich is (x+15)
● x^2 +18x + 45 = w × (x+15)
● w = (x^2 +18x+45)/(x+15)
Using the eucledian division we get:
● w = x+3
Since x^2 +18x +45 = (x+15) × (x+3)
So your answer was right
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Let's calculate the dimensions if x= 8 yards
● the length
x+15 = 8+15 = 23 yards
● the width
x+3 = 8 + 3 = 11 yards
● the area
(x+15)×(x+3) = 23 × 11 = 253 yards^2
Please simplify. 2(y+6)-6y Thanks!
Answer:
-4(y-3)
Step-by-step explanation:
you need to factor out the 2 from the expression, add common like terms, factor out -2 from the expression, multiply a positive and a negative to get a negative, then multiply the numbers, and you'll get your answer
i’ll mark you brainliest, please show work!!
Answer:
width = 10
length = 2 (10) + 7 = 27
Step 1:
If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.
Step 2:
We can solve this by using this equation:
2w + 7 + w = 37
Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.
2w + w = 30
Add the w's together:
3w = 30
And then divide both sides by 3 to get:
w = 10
Step 3:
Now, we can plug in w into our equation to solve for the width and length.
width = 10
length = 2 (10) + 7 = 27
_____2w+7_____
| | w
--------------------------
In a certain freshman class, the number of girls is 83 less than twice the number of boys(b). The total number of students in that freshman class is 259. How many boys and girls are in that class.
Answer:
Boys = 114
Girls = 145
Step-by-step explanation:
Boys = b
Girls = 2b-83
b+2b-83=259
3b=259+83
3b=342
b=114
Boys = b = 114
Girls = 2b-83=228-83=145
The number of boys is 114 and the number of girls is 145
The given expression in algebraic form is written as:
let the number of boys = b
then, the number of girls, g = 2b - 83
given total number of students, t = 259
To find:
the number of boys and girls in the class.Set the following equations to find the number of boys and girls:
number of boys + number of girls = total number of students
[tex]b + g = 259\\\\b + 2b -83 = 259\\\\3b = 259+83\\\\3b = 342\\\\b = \frac{342}{3} \\\\b = 114\\\\The \ number \ of \ girls = 2(114) - 83 = 145[/tex]
Thus, the number of boys is 114 and the number of girls is 145
Learn more here: https://brainly.com/question/17765207
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.
Answer:
[tex]x > 1610[/tex]
Step-by-step explanation:
Given that the empire fell in 1610
Required
Represent years after the fall of the empire using inequality
From the question, we understand that
1. x represent years
2. The empire fell in 1610
This implies that, years before (and including) 1610 are invalid and we only have to consider years after 1610;
Years such as 1611, 1612, 1613.......
All the aforementioned years are greater than 1610;
The keyword is greater than 1610
And this can be represented as [tex]x > 1610[/tex]
PLEASE HELP! Will mark brainliest! Find the slope of each line:
Answer:
6/7
Step-by-step explanation:
First, find two points that fall on the line and are coordinates on the graph.
The two points I found were (3,5) and (10,11).
Use the slope formula to come up with the slope.
[tex]slope = \frac{change in y}{change in x}[/tex]
slope = [tex]\frac{11-5}{10-3}[/tex] = [tex]\frac{6}{7}[/tex]
Find an equation of the line with the slope m= 3/2 that passes through the point (8,-3). Write the equation in the form Ax+By = C.
Answer:
work is shown and pictured
If 0≤β<2π, find all values of β that satisfy the equation cos(2β)=√3/2
Answer:
π/12 rad and 23π/12 radStep-by-step explanation:
Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.
[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]
Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]
Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°
Converting to radians;
180° = πrad
15° = 15π/180 rad
15° = π/12 rad
345° = 345π/180
345° = 23π/12 rad
The values in radians are π/12 rad and 23π/12 rad
-31-4x=-5-5(1+5x) I need help i suck at math
Answer:
x = 1
Step-by-step explanation:
−31−4x=−5−5(1+5x)
First step is to simplify both sides
−31−4x=−5−5(1+5x)
−31+−4x=−5+(−5)(1)+(−5)(5x)
distribute
−31+−4x=−5+−5+−25x
−4x−31=(−25x)+(−5+−5)
and combine like terms
−4x−31=−25x+−10
−4x−31=−25x−10
Then add 25x to both sides
−4x−31+25x=−25x−10+25x
21x−31=−10
Add 31 to both sides
21x−31+31=−10+31
21x=21
And divide by 21!
21x/21 = 21/21
x=1
Answer:
X=1
Step-by-step explanation:
First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 665 milliliters of the drug, how many milliliters of compound B are needed?
375 milliliters of compound B
what is the domain of the function shown in the graph below?
answer type: Interval, all real numbers, all values except one, all values except two
interval:
Answer:
all values except one (-2)
Step-by-step explanation:
The function heads off toward infinity at x=-2, so it is not defined there. The function is defined for all values except one.
Hi. Please i need help with this question.
Find the operation used in determining each of the values in the diagram.
Workings Please.
Answer:
3*3+1=10
4*4+5=21
Step-by-step explanation:
You square the number in the first box
3*3=9
4*4=16
And add the number in the second box with the result.
3*3=9+1=10
4*4=16+5=21
Hope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
We must square the number on the left box, then add with the number in the right box to get the result in the boxes below.
3² + 1 = 9 + 1 = 10
4² + 5 = 16 + 5 = 21
Raj and Carlos are reading. Carlos reads a chapter in 444 minutes, which is 333 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?
Answer:
777 minutes
Step-by-step explanation:
Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj
444+ 333 = 777
Will give brainliest to first person Solve with determinants x+4y=5 , 5x-7y=-2
algebra 4 is hard because the answers aren’t on brainly
Answer:
5
Step-by-step explanation:
(p - q)(2)
= p(2) - q(2) ← use values corresponding to x = 2 from both tables
= 3 - (- 2)
= 3 + 2
= 5
Please help! Solve for p: -p + 8 - 9 = 9
Answer:
-10
Step-by-step explanation:
-p+8-9=9
-p-1=9
-p=10
p=-10
Help me please!!! This is the last day I can finish this ASAP PLEASE I will comment the solutions
Answer:
See below.
Step-by-step explanation:
1)
[tex]64=x^2\\x=\sqrt{64}\\x=8[/tex]
2)
[tex]64=x^3\\x=\sqrt[3]{64}\\ x=4[/tex]
[tex](4^3=64)[/tex]
3)
[tex]2^x=32\\2^x=2^5\\x=5[/tex]
4)
[tex]x=(\frac{2}{5})^3=\frac{2^3}{5^3}=8/125[/tex]
5)
[tex]\frac{16}{9} =x^2\\x=\sqrt{\frac{16}{9} }\\ x=\frac{\sqrt{16} }{\sqrt{9}} \\x=4/3[/tex]
6)
[tex]2\cdot2^5=2^x\\2^1\cdot2^5=2^x\\2^{(1+5)}=2^6=2^x\\x=6[/tex]
7)
[tex]2x=2^4\\2x=16\\x=8[/tex]
8)
[tex]4^3=8^x\\(2^2)^3=(2^3)^x\\2^6=2^{3x}\\3x=6\\x=2[/tex]
Answer:
1) 8
2) 4
3) 6
4) 6/15
5) 4/3
6) 6
7) 8
8) 2
Step-by-step explanation:
Im about to cook dinner just comment if you want work shown.
Type the correct answer in each box. If necessary, use / for the fraction bar.
Complete the statements about series A and B.
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
Series (a or b) has an r value of (blank) where 0<|r|<1. So, we can find the sum of the series. The sum of the series is (blank)
Answer:
Step-by-step explanation:
Given two series A and B;
Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
Both series are geometric series since they have the same common ratio. Given the geometric series T₁, T₂, T₃, T₄..., the common ratio r is expressed as [tex]\frac{T_2}{T_1} =\frac{T_3}{T_2} =\frac{T_4}{T_3} = r[/tex].
a) For series A, Given T₁ = 10, T₂ = 4, T₃ = 8/5 and T₄ = 13/125
Its common ratio is expressed as [tex]\frac{4}{10} =\frac{8/5}{4} =\frac{13/125}{8/5} = 2/5[/tex]
Hence the common ratio of series A is 2/5
The sum to infinity of the geometric series will be expressed as [tex]s_\infty = \dfrac{a}{1-r}[/tex]
Note that the sum to infifnity is used since the series is tending to infinity.
a is the first term if the series = 10
r - 2/5
On substituting this values into the formula;
[tex]s_\infty = \dfrac{10}{1-2/5} \\\\s_\infty = \dfrac{10}{3/5} \\\\s_\infty = 10* 5/3\\s_\infty = 50/3[/tex]
Hence the sum of the series is 50/3
b) For the series B;
Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...
The common ratio of the series is expressed as shown;
[tex]\frac{3/5}{1/5} =\frac{9/5}{3/5}= \frac{27/5}{9/5 } = r\\ r = (3/5 * 5/1) = 9/5*5/3 = 27/5*5/9 = 3[/tex]
Hence its common ratio is 3.
Sun of the series is expressed similarly as:
[tex]s_\infty = \frac{a}{1-r}\\ s_\infty = \frac{1/5}{1-3}\\\\s_\infty = \frac{1/5}{-2}\\\\[/tex]
[tex]s_\infty = 1/5 * -1/2\\s_\infty = -1/10[/tex]
Hence the sum of series B is -1/10
The price of one share of Disney stock declined $2.50 per days for 5 days in a row. What was the overall change in the price?
Think of a way you use Geometry or a way Geometry has improved your life. Write 2-3 sentences about the impact Geometry has on your life and why we should learn about it!
Answer:
Geometery is used everywhere you go. Construction blueprints, the design of assembly systems in manufacturing, nanotechnology, computer graphics, visual graphs, video game programming virtual reality creation, and etc. It has given us what we have today and why we have everything today. Without geometry to help us how would construction know how to build the bridge so it won't fall. It benefits us in ways people don't expect but everyone should learn it so we can recognize the importance of math to the real world. Stuff wasn't just created it was hard work and dedication which led to the great feeling of accomplishment!
Step-by-step explanation:
Not plagiarized so go ahead and use it.
The number of oranges that Joe has is a multiple of 6. When he sells one orange, the number of oranges is a multiple of n. If n is a positive integer less than 10, how many possible values are there for n?
Answer:
2
Step-by-step explanation:
The number of oranges he has is a multiple of 6, so the number can be
6, 12, 18, 24, 30, 36, 42, 48, 54, etc.
He sells one orange, so now he an have:
5, 11, 17, 23, 29, 35, 41, 47, 53, etc.
All numbers above up to 53 are multiples of 1, so n can be 1.
Also 5 and 35 are multiples of 5, so n can be 5.
All numbers other than 5 and 35 are prime.
Answer: 2
can somebody help me with this math problem
Answer:
D). 137
Step-by-step explanation:
1). 40 % of 50 = 20
50 + 20 = 70
2). 40 % 70 = 28
70 + 28 = 98
3). 40 % of 98 = 39.2, basically 39
98 + 39 = 137
137 is the right answer
Pls make my answer brainiest))))
Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?
Find the reference angle of the following angles:405°, 750°, ‒ 210°, 495° ‒660°, 480°
Answer:
Step-by-step explanation:
405÷180=2×180+45,45°
750=180×4+30,30°
-210+180=-30,30°
495÷180=2×180+135,180-135=45°
-660°+360=-300°+360=60,60°
480-360=120,180-120=60,60°
Perform the indicated operations. (2x+5y+z-6)+(6x-4y-z+7)+(-4x+y-3z-4)
Answer:
your anwser is 4 x + 2 y − 3 z − 3
Step-by-step explanation:
Simplify:4 x + 2 y − 3 z − 3
Answer:
4x + 2y - 3z -3.
Step-by-step explanation:
2x+5y+z-6)+(6x-4y-z+7)+(-4x+y-3z-4)
Removing the parentheses:
= 2x + 5y + z - 6 + 6x - 4y - z + 7 - 4x + y - 3z - 4
Bringing like terms together:
= 2x + 6x - 4x + 5y - 4y + y + z - z - 3z - 6 + 7 - 4
Simplifying like terms we have:
4x + 2y - 3z -3.
Faith owns an organic apple orchard. From her experience the last few seasons, she has developed the formula P=20x-0.01x^2 -240 to predict her profit P in dollars this season if her trees produce x bushels of apples. What is Faith’s predicted profit this season if her orchard produces 300 bushels of apples?
P=20x-0.01x^2-240
P=20(300)-0.01(300)^2-240
P=6000-0.01(90000)-240
P=6000-900-240
P=4860
Remember PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
EXPLANATION: first Is Parentheses, which would be 300, multiply that by 20, that would be 6000.
Next is Exponents, which would be the (^2) so you would Multiply the 300 by itself 2 times. which is 90000
Next is Multiplication, Multiply 0.01 by 90000, which would be 900.
There is nothing to divide or add so skip that.
Next is subtraction, subtract 6000-900-240 and the answer would be 4860.
so Faith's prediction profit for this season would be 4860 when her orchard produces 300 bushels of apples.
I hope that helped! Good Luck!
\(216^{\frac{2}{3}}=?\) A.36 B.6 C.108 D.12
Answer:
36
Step-by-step explanation:
(216) ^ (2/3)
Rewriting 216 as 6^3
(6^3) ^ (2/3)
We know that a^ b^c = a^ (b*c)
6 ^ (3*2/3)
6^2
36
Use a number line to approximate the value of :
Answer:
9 < [tex]\sqrt{88}[/tex] < 10
Step-by-step explanation:
[tex]\sqrt{88}[/tex] = 9.38083152
Answer:
Third option
Step-by-step explanation:
Notice that √88 is close to √81 wich is 9.
● √88 is greater than √81 so it is greater than 9.
● √88 is less than √100 wich is 10
● so √88 is between 9 and 10
Please help being timed!!! Given: △ABC AB=BC=AC Area of △ABC= 25 3 4 cm2 Find: The perimeter
Answer:
15 cm
Step-by-step explanation:
The area of an equilateral triangle is:
[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.
We can find the value of a (the length) by:
[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]
[tex]a^2 = 25[/tex]
a = 5, so the side length of this triangle is 5 cm.
The perimeter of an equilateral triangle will be 3 times the length.
[tex]3\cdot5=15[/tex]
Hope this helped!
What is the mode of the data represented in the dot plot shown in the image? A. 0 B. 1 C. 2 D. 3 Show all work!
Answer:
2
Step-by-step explanation:
The mode is the number that appear most often
The number with the most dots is 2
The mode is 2
The mode in any data set is the number that gets represented the most.
As you can see on the plot, the number that gets represented the most is 2.
Best of Luck!