Answer:
a) Area = 2x^2 + 3x - 2
b) Perimeter = 64x + 28
c) Length = 60 feet and Width = 50 feet
Step-by-step explanation:
The computation is shown below:
Given that
length = 12x + 24 feet
And, the width be 20x - 10 feet
Now as we know that
Area of the rectangle = length × width
= (12x + 24) × (20x - 10)
= 12x (20x -10) + 24(20x - 10)
= 240x^2 - 120x + 480x - 240
= 240x^2 + 360x - 240
= 2x^2 + 3x - 2
Now for perimeter
As we know that
Perimeter of the rectangle = 2(Length + width)
= 2(12x + 24 + 20x - 10)
= 2(32x + 14)
= 64x + 28
In the case when the perimeter is 220
So,
220 = 64x + 28
64x = 220 - 28
64x = 192
x = 3
Now length is 12(3) + 24
= 36 + 24
= 60 feet
And, the width is
= 20(3) - 10
= 60 - 10
= 50 feet
Which pairs of polygons are similar?
Select each correct answer
Answer:
Left side: Bottom
Right side: Top
Step-by-step explanation:
If the angles are congruent AND the sides are proportional, then the two polygons are similar.
The similar pairs of polygons are:-
Left side: Bottom
Right side: Top
What are polygons?A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.
If the angles are congruent AND the sides are proportional, then the two polygons are similar.
If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
The polygons left side bottom right side top are similar to each other in the given image.
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Which of the following inequalities represents the graph shown below on
the real number line?
Answer:
-3 < x ≤ 1
Step-by-step explanation:
To our left, we have an unshaded circle at -3. This means that -3 is included in the possible value of x. And as such, we can say -3 < x.
To our right, we have a shaded circle at 1. This means 1 is included in the possible values of x. And as such, we can say x ≤ 1.
Thus, we can represent the two statements as one, thus:
-3 < x ≤ 1
A trawler caught 2/3 ton of fish on Monday and 1/2 on Tuesday. What was the total amount of fish caught?
Answer:
1 1/6
Step-by-step explanation:
(1/2×3/3)+(2/3×2/2)=
3/6+4/6=
3+4/6=7/6 or 1 1/6
3+4 is the numerator over 6
how do i write the fraction 3/4 as a product of a whole number and a unit fraction
Answer:
3/1*1/4
Step-by-step explanation:
when you multiply 3/1 by 1/4
Answer:
3\4
Step-by-step explanation:
Write the percent as a fraction in simplest form.
5%
Answer:
To convert a percentage to fractions: Percent means per hundred so say 5% is the same as 5/100 58% is like saying 58/100 or simplified 29/50
Step-by-step explanation:
Answer:
Just remeber Percent means"per hundred" so the answer woud
be 1/20 :) Hope this helps!!!!!!!
because 5% is the same as 5/100.
Step-by-step explanation:
The difference of any two negative integers is a negative integer
Answer: look at the bottom
Step-by-step explanation:
Difference of two negative numbers may or may not be negative. It depends on the numbers taken as well as on the sequence in which they are taken. Then, a-b=b-a=0, (which is neither negative nor positive..!!!) So difference of two negative numbers may be positive, negative or even zero.
Answer:
False
It can be a negative or positive integer.
Step-by-step explanation:
-5 - (-3) = - 5 + 3 = -2
-5 - (-10) = -5 + 10 = 5
#teamtrees #WAP (Water And Plant)
Value of X makes equation true -75 = -50+ X
Answer:
x = -25
Step-by-step explanation:
Hi there!
In order to solve this, add 50 to both sides to isolate x.
x = -25
Hope this helps!
On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT of the polygon?
4 unit
6 units
7 units
11 units
Answer:
11 Units
Step-by-step explanation:
Hopin i helped! Have a good day mate
Please help, I will give brainliest, I am struggling badly.
Answer:
3rd option is the amswer
Factor the expression step by step : x^3 - x^2
Answer: x²(x-1)
Step-by-step explanation:
x³ - x²
= x²(x-1)
Hope it helps you
A cylinder has volume 727 and radius 3. What is its height?
Answer:
height = 25.71
Step-by-step explanation:
Write an equation of the line.
Answer:
Htjeghsjsvwuwvwhwvshvshsvshsvshs
You are running a consention stand at a concersion stand at a basketball game. you are selling hot dogs and sodas. Each soda is $0.50 and each hotdog is $1.50. At the end of the night you sold $78.50. How many hot dogs and soda each did you sell?
Answer:
38
Step-by-step explanation:
Why is 16 the answer to 10. x / 2 - 5 = 3? I need an answer today.
Hi there!
[tex]\large\boxed{x = 16}[/tex]
x / 2 - 5 = 3
Begin by adding 5 to both sides to isolate for x:
x / 2 - 5 + 5 = 3 + 5
x / 2 = 8
Multiply both sides by 2 to have "x" alone on the left-hand side:
(x / 2) × 2 = 8 × 2
x = 16
Answer:
because if x is 16
16/2 = 8 and so on 8 - 5= 3 so that is the answer
Step-by-step explanation:
C is the circle with equation x^2+y^2=1 , Q(1/2,square root of 3/2) is a point on C. The equation of the tangent to C at the point Q can be written in the form y=ax+b, find the value of a and the value of b
Answer:
a = -√3/3
b = 2√3/3
Step-by-step explanation:
x² + y² = 1
This is a unit circle.
Find the solution of the system of equations.
- 2x - 5y=-12
10x - 4y = 2
Answer:
[tex]x=1, y=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-2x-5y=-12\\ 10x-4y=2\end{bmatrix}[/tex]
Isolate x for [tex]-\:2x\:-\:5y=-12[/tex]
[tex]-\:2x\:-\:5y=-12[/tex]
Add 5y to both sides.
[tex]-2x-5y+5y=-12+5y[/tex]
Simplify.
[tex]-2x=-12+5y[/tex]
Divide both sides by 2.
[tex]x=-\frac{-12+5y}{2}[/tex]
Substitute x for [tex]-\frac{-12+5y}{2}[/tex].
[tex]\begin{bmatrix}10\left(-\frac{-12+5y}{2}\right)-4y=2\end{bmatrix}[/tex]
Simplify.
[tex]\begin{bmatrix}-29y+60=2\end{bmatrix}[/tex]
Isolate y for [tex]-29y+60=2[/tex]
[tex]y=2[/tex]
Substitute y in [tex]-\frac{-12+5y}{2}[/tex] for 2.
[tex]x=-\frac{-12+5\cdot \:2}{2}[/tex]
Simplify.
[tex]x=1,\:y=2[/tex]
Please vote me Brainliest if this helped!
The number of chairs increased by 7
A.cx7
B.c+7
C.c/7
D.c-7
Regina is buying a new car. She sees two advertisements in the paper for the same car at two different prices from two different dealerships. Both dealers are offering a simple-interest loan for the price of the car. A photo of car includes two ads. Ad A shows the vehicle priced at twenty-four thousand two hundred dollars at six point five percent interest and an unknown number of years. Ad B shows an unknown price, at a five point three percent interest over nine years. Question 1 Part A Regina calculates that to buy the car in Ad A, the loan would ultimately cost her $41,503. Over how many years is the loan in Ad A to be paid back?
Answer:
11 years
Step-by-step explanation:
Given that:
Advert A:
Principal, p = $24,200
Interest rate, r = 6.5% = 6.5/100 = 0.065
Time, t =?
Total Repayment, A = $41,503
Using the relation :
A = p(1 + rt)
Plugging our values
41503 = 24200(1 + 0.065t)
41503 / 24200 = 1 + 0.065t
1.715 = 1 + 0.065t
1.715 - 1 = 0.065t
0.715 = 0.065t
t = 0.715 / 0.065
t = 11 years
Loan in Advert A will be paid back in 11 years
Answer:
11 years
Step-by-step explanation:
Given that:
Advert A:
Principal, p = $24,200
Interest rate, r = 6.5% = 6.5/100 = 0.065
Time, t =?
Total Repayment, A = $41,503
Using the relation :
A = p(1 + rt)
Plugging our values
41503 = 24200(1 + 0.065t)
41503 / 24200 = 1 + 0.065t
1.715 = 1 + 0.065t
1.715 - 1 = 0.065t
0.715 = 0.065t
t = 0.715 / 0.065
t = 11 years
Loan in Advert A will be paid back in 11 years
Noah stood 55 2/3 inches tall on his tenth birthday. If he stood 58 1/2 inches on his 11th birthday, how much taller has Noah grown in the past year?
Answer:
2 5/6 inches
Step-by-step explanation:
58 1/2 to 58 3/6
55 2/3 to 55 3/6
add 6/6 to 3/6 and change 58 to 57
subtract
=2 5/6
The growth of Noah in the past year is 2 5/6 inches.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Noah stood 55 2/3 inches tall on his tenth birthday and he stood
58 1/2 inches on his 11th birthday.
Therefore, The growth of Noah is the difference between the heights on his tenth birthday and eleventh birthday which is,
= (58 1/2 - 55 2/3) inches.
= (117/2 - 167/3).
= (117×3 - 167×2)/6 inches.
= (351 - 334)/6 inches.
= 17/6 inches.
= 2 5/6 inches.
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Help please ASAP
In Problems 41-52, the graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to
the x-axis, the y-axis, the origin or none of these.
41. A
42. A
43. B
44. B
45. A
46. A
47. B
48. A
49. A
50. A
51. B
52. B
Lin’s family has completed 30% of a trip. They have traveled 60 miles. How far is the trip?
Answer:
50 miles
Step-by-step explanation:
Please Brainiest It will help me get to my quest!!??!?!
Answer:
200 miles
Step-by-step explanation:
30%=60
60x3=180
180=90
60/3= 20
20=10%
180+20=200
A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began
with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth
function f(t) = ger and give your answer to the nearest whole number. Show your work.
Need the answer ASAP
Answer: 2430 bacteria.
Step-by-step explanation:
When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:
A + (X%/100%)*A
In this case, we have A = 10 bacteria.
And X% = 200%.
Then if we start with 10 bacteria.
After one day, we will have:
10 bacteria + (200%/100%)*10 bacteria
= 10 bacteria + 2*10 bacteria = 3*10 bacteria.
After another day, we will have:
3*10 bacteria + (200%/100%)*(3*10 bacteria)
3*10 bacteria + 2*(3*10 bacteria)
3*(3*10 bacteria)
10 bacteria*(3)^2
We already can see the pattern here.
After t days, we will have:
10 bacteria*(3)^t.
This is the equation f(t) we wanted:
f(t) =10 bacteria*(3)^t
after 5 days, we will have:
f(5) = 10 bacteria*(3)^5 = 2430 bacteria.
mary ann spent $26.85 total on two new toys. She had a coupon for 1.00 off her total purchase and spend 1.75 on sales tax. Each toy cost the same amount how much did each toy cost?
Answer: $13.80
Step-by-step explanation:
Mary ann spent $26.85 total on two new toys but had a coupon for $1.00 off her total purchase. Therefore, we subtract $1.00 from $26.85. This will be:
= $26.85 - $1.00
= $25.85
Shw then spend $1.75 on sales tax. Total coat will now be:
= $25.85 + $1.75
= $27.60
Since each toy coat same amount, therefore each toy will cost:
= $27.60 / 2
= $13.80
Help please thank you
rewrite v (f) -2 = e so that you are solving For v
Answer:
dy/dx = y - 4x/x - y = x (y/x - 4)/x (1 - y/x) = phi (y/x) therefore dy/dx = y/x - 4/1 - y/x - (A)
Step-by-step explanation:
−46x−23=46x+23 how many solutions
find the missing value in the ration table
If there was 8 men in the shop not including the shop keeper and they all go shot how many people were left in the shop?
Answer:
1
Step-by-step explanation:
Because it's not including the shop keeper.
Answer:
1
Step-by-step explanation:
The questions says 8 men not including the shop keeper. The shop keeper is left
The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to carpet the shape?
| 3.5 m
8.1 m
It will cost $ type your answer...
to carpet the shape
Answer:
It will cost $79.38 to carpet the shape
Explanation:
Find the diagram of the parallelogram attached
Area of a parallelogram = Base * Height
Given
Base = 8.1m
Height = 3.5m
Area of the parallelogram = 8.1*3.5
Area of a parallelogram = 28.35m²
Since 1m² = $2.80
28.35m² = x
Cross multiply
x = 28.35 * 2.80
Hence it will cost $79.38 to carpet the shape
13. There were 120 books on shelf last month, and there are currently 250 books on shelf this month.
What is the percent of change in number of books on shelf from last month to this month?
Answer:
the answer should be 108.5%