11. The rectangle has a width of 8 in, a length of x-5 in, and an area of 16 in). Solve for x.
Hint: label the figure.
x-sin
sin
Answers
Use the area of rectangle formula which is:
[tex] \displaystyle \large \tt{A = width \times length}[/tex]
Given that:
area of rectangle = 16width = 8length = x-5Substitute in the formula:
[tex] \displaystyle \large{16 = 8 \times (x - 5)} \\ \displaystyle \large{16 = 8(x - 5)}[/tex]
Distribute 8 in the expression:
[tex] \displaystyle \large{16 = (8 \times x) + (8 \times ( - 5))} \\ \displaystyle \large{16 = 8x - 40}[/tex]
Move -40 to another side and change from -40 to 40.
[tex] \displaystyle \large{16 + 40 = 8x} \\ \displaystyle \large{56= 8x} \\ [/tex]
Then move 8 to divide 56, leaving only x.
[tex] \displaystyle \large{ \frac{56}{8} = x} \\ \displaystyle \large{7 = x} \\ [/tex]
Hence, the answer is:
[tex] \displaystyle \large \boxed{x = 7} \\ [/tex]
Related Questions
Given f(x) = x ^ 2 + 2x and g(x) = x - 1 , find (fg)(x)
A) x^3 + 2x^2
B) x^3 + x^2 + 2x
C) x^3 - x^2 - 2x
D) x^3 + x^2 - 2x
Answers
Heya !! here's your solution :
[tex] \hookrightarrow \: ( {x}^{2} + 2x) \times (x - 1)[/tex]
[tex] \hookrightarrow \: \: {x}^{3} - {x}^{2} + 2 {x}^{2} - 2x[/tex]
[tex] \hookrightarrow \: {x}^{3} + {x}^{2} - 2x[/tex]
therefore , the correct Option is D
Tính nhanh : a) 35-7*(5-18) ; b) 217-(-83)+99-(93+99) ; c) [4*(-5)^2-(31-17)]:2
Answers
This is my answer......
Given function g(x)=-x² + 2x, determine value of the function for g(-3).
Answers
Answer:
g(-3) = -15
Step-by-step explanation:
g(-3) = -(-3²) + 2(-3)
g(-3) = -9 + -6
g(-3) = -15
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Prove that an equilateral triangle must have 60 degrees angles
Answers
Step-by-step explanation:
Since all the sides in equilateral triangle are equal ,Angles are also equal
Let it be x
The Angle sum property of triangle is 180
x+x+x=180
3x=180
x= 180/3
=60°
A piece of string is 28 cm long. It is used to from a square. (a) what is the length of each side of square? (b) what is the area of the square.?
Answers
Answer:
7 cm and 49 cm²
Step-by-step explanation:
(a)
A square has 4 equal sides , then
28 cm ÷ 4 = 7 cm
The length of each side of the square is 7 cm
(b)
The area (A) of a square is
A = s² ( s is the side length ) , then
A = 7² = 49 cm²
Answer:
Step-by-step explanation:
Perimeter of square will be equal to the length of the string
Perimeter of square = 28 cm
4*side = 28
Divide both sides by 4
Side = 28/4
Side = 7 cm
b) Area of square = side * side
= 7 * 7
=49 cm²
Find the perimeter and area of figures 1-20
Answers
Answer:
figure 1
3 + 3 + 3 + 1 + 1 + 1= 12 units
area is 3x1 + 1x1 + 3x1 = 7 sq units
figure 2
perimeter do the same as figure 1 and youll get
32 units i assume
area do the same as figure
then bueno
????????????????????????
Answers
Step-by-step explanation:
This is the required answer.
Keep smiling and hope u r satisfied with my answer.Have a nice day :)
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answers
Help me solve this pleasee
Answers
First before replacing the variable let us rephrase the equation.
s = 1/2(v + u)t, can also be written as,
t/2(u + v)
Now replacing the variables,
5/2(6 + 20) = s
2.5 * 26 = s
hence,
s = 65m
Answer:
B. 65 mStep-by-step explanation:
[tex]s = \frac{1}{2} (u + v)t \\ s = \frac{1}{2} (6 + 20)5 \\ s = \frac{1}{2} \times 26 \times 5 \\ s = 13 \times 5 \\ s = 65 \\ [/tex]
PLEASE HELP ME, I WILL FAIL IF I DON'T GET THIS
The number of writing instruments in some teachers' desks is displayed in the dot plot. Which is greater the mean or the median? Explain your reasoning using the shape of the distribution.
Answers
Answer:
the median is greater.
Step-by-step explanation:
the median would be 2 when you take the average of the middle two numbers. the mean would be 1.75 when you average all of them. 2 is greater.
Answer:
Median is greater than the mean
median = 9.5
mean = 9
Step-by-step explanation:
The shape of the distribution is skewed right, so the median will most likely have a higher value than the mean
Scils Practice convert the following factions into decimals. You must show your work.
How can I turn the fraction 3/12 into a decimal?
Answers
0.25
work shown
Expand (2x-1)(x-3)
please answer quick
Answers
Step-by-step explanation:
(2x-1)(x-3)
= 2x (x-3) - 1(x-3)
[tex] = 2 {x}^{2} - 6x - x + 3[/tex]
[tex] = 2 {x}^{2} - 7x + 3(ans)[/tex]
Answer:
2x^2-7x+3
Step-by-step explanation:
(2x-1)(x-3)
multiply 2x by (x-3) - 1(x-3)
= 2x (x-3) - 1(x-3)
multiply by 2x and by one
=2x^2-6x-x+3
simplify -6x-x= -7x
answer
=2x^2-7x+3
c(d+c)+d when c=9 and d=3
Answers
111
Step-by-step explanation:
c(d + c) + d where c = 9 and d = 3
Step 1. Substitute c for 9 and d for 3
(9)((3) + (9)) + (3)
Step 2. Add
(9)(12) + 3
Step 3. Multiply
108 + 3
Step 4. Add
111
Answer:
111
Step-by-step explanation:
[tex]c(d+c)+d=\\9(3+9)+3=\\9(12)+3=\\108+3=\\111[/tex]
I’m on Acellus and I have to combine like terms. I already got 12x but I can’t seem to get the next number. Can anyone help?
Answers
Answer:
-9
Step-by-step explanation:
9x - 4 + 3x - 5 = 9x + 3x + (-4) + (-5)
12x + (-9)
please help me :/ you will get 20 points and i will mark brainliest this is for math ;-; again
the picture is attached below but please look at the picture
just in case you cant read what my writing says it says this
The greatest integar function shown below is defined to be the greatest _______ less than or equal to x.
Answers
Answer:
equal to x
Step-by-step explanation:
write the equation of the line passing through point 2, 5 and parallel to y=-1/2x-2
Answers
Answer:
option b
Step-by-step explanation:
explaination is in picture
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x - 2 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Parallel lines have equal slopes , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 5) into the partial equation
5 = - 1 + c ⇒ c = 5 + 1 = 6
y = - [tex]\frac{1}{2}[/tex] x + 6 ← equation of line
in a School the monthly fee of a child is ₹ 497 . If there are 2983 students in a school ,find the total fee collected in a month.
Answers
Answer:
1482551 is correct answer
Ankit's father is five years older than three times of Ankit's age. 50 years old, then calculate the present age of Ankit
Answers
Step-by-step explanation:
Let,
Ankit's age = x
So, ankit's father's age = 3x + 5
Given,
Age of Ankit's father's age = 50
Therefore,
By the problem,
=> 3x + 5 = 50
=> 3x = 50 - 5
=> 3x = 45
[tex] = > x = \frac{45}{3} [/tex]
=> x = 15
Hence,
Present age of Ankit is 15 years (Ans)
Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.
What will your final grade be if your homework average is 60, you quiz average is 70, and your test average is 95?
Answers
Answer:
Your final grade will be 77%
Step-by-step explanation:
40% will be from your test average which is 95
30% will be from your homework average which is 60
30% will be from your quiz average which is 70
Calculating based on these weights:
(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%
(b) Eric removed 72 fish from his pond over a period of 9 days. He removed the same number of
fish each day, What was the change in the number of fish in the pond each day?
fish
FASTEST WIL BE THE BRAINLIEST
Answers
Answer:
-8
Step-by-step explanation:
72 ÷ 9 = 8
The fish are being taken out, so negative.
I hope this helps!
pls ❤ and mark brainliest pls!
what is 30% of 175? Plz give info on how to solve, don't just say the answer.
Answers
Answer: 52.5
Step-by-step explanation: 175 x .3
Answer:
30 × 175 / 100
52.5
step by step explanation
Are the following proportional? Explain or show
your reasoning
3/5 and 18/25
Answers
Answer:
No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!
Step-by-step explanation:
Hope this helps :)
Which table shows a linear function?
O
-3
-3.
1
2
-2
2
5
X
3
0
O
-3
-2
1
2
-3
-5
x х
y
-3
-1
0
2
0
2
3
5
Answers
Answer:
Its the 3rd one,
Step-by-step explanation:
Because the X (Multiplier) is 1 and the Y (Initial starting point) is 3 so if you plug the numbers in, you'll get linear answers. :)
What is the solution to the system of equations below?
4x + 2y = 2
3x – 4y = 18
Answers
Answer:
here your answer
hope it help
PLEASE HELP MARK BRAINLIESTS!!!!
Answers
Answer:
x=15 y=3
Both (4x+10y) and (6x) equal 90 degrees, as angle 4x+10y is vertical to a 90 degree right angle, and angle 6x is directly beneath the right angle, making it equivalent. To find x, you simply do 90/6, which is 15, meaning x=15. Now plug in that into 4x+10y=90, which will make it 60+10y=90. Subtract 60 from 90, and divide the difference, 30, by 10, giving you 3, thus showing that y=3. You can double check by plugging in the x and y values.
I don't want the answer I just want to know how to do it
Answers
Answer:
1st- thorn forest - forest which have many thorns it is in rajasthan
2nd- evergreen forest - a forest whose trees are rest green in any season
3rd- Amazon forest - in Amazon forests there are many poisonous snake, frogs etc. like anacondas and wild animals.
Step-by-step explanation:
What is meant by the term formula in mathematics? Give an
example.
Answers
Angle sum theorem. y=?
Answers
So 48+ 90 + x = 180
x = 42 degrees
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
3 + 5y = –20
Answer:
Submit Answer
PLS HELP ASAP
Answers
Answer: y = -23/5
Step-by-step explanation:
Decimal Form : -4.6
Mixed Number : -4 3/5
can someone explain how my teacher got this answer?
Answers
Answer:
cause shes smart?
Step-by-step explanation: