Answer:
7.5 % increase
Step-by-step explanation:
So,first we know that Square is also a special type of Rectangle,
so consider a Square with side 100 unit ,
Initially, After increament in side
Length = 100 unit -(increases by 10% ,So 110% of 100) NEW length = 110 unit
width = 100 unit (increases by 5% ,So 105% of 100) NEW width = 105
initially, Perimeter of Rectangle = 2 x (L + B) = 2 x (100 +100)
= 400 unit
After increment in length and width
Perimeter of New Rectangle = 2 x (L + B) = 2 x (110 +105)
= 430 unit
So we can clearly see that there is an increase of 30 unit in perimeter from initial.
Therefore ,% increase in perimeter will be
(final perimeter - initial perimeter)/initial perimeter x 100
= (430 - 400)/400 x 100
= 7.5 % increase
Answer:
increased by 8%
Step-by-step explanation:
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Write your answer in the space below.
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
Write your answer in the space below.
3. Write the system of equations using your answers from questions 1 and 2.
Write your answer in the space below.
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.
Write your answer in the space below.
5. Solve the system of equations. Show your work.
Write your answer in the space below.
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?
Write your answer in the space below.
9514 1404 393
Answer:
6 days210 pagesStep-by-step explanation:
1. The number of pages (y) Amir reads in x days is ...
y = 35x
__
2. Jessie has been reading 1 more day than Amir, so an expression for the number of days Jessie has been reading is ...
x +1
The number of pages Jessie has read is ...
y = 30(x +1)
__
3. The system of equations is the two of these equations written together:
y = 35xy = 30(x +1)__
4. Using substitution to solve this, we find it convenient to substitute for y. Either equation provides an expression for y that can be substituted into the other equation. After substitution, the equation looks like ...
35x = 30(x +1)
__
5. We can subtract 30x from both sides and divide by 5 to solve.
35x -30x = 30(x +1) -30x
5x = 30x +30 -30x
5x = 30 . . . . simplified form after subtracting 30
x = 6 . . . . . . .result of dividing both sides by 5
y = 35x = 35·6 = 210
(x, y) = (6, 210)
__
6. It takes Amir 6 days to catch Jessie. At that time, both will have read 210 pages.
HELP PLEASE ! Factor the polynomial completely.
18x^2y-2y
Answer:
2y( 3x-1)(3x+1)
Step-by-step explanation:
18x^2y-2y
Factor out the greatest common factor 2y
2y( 9x^2 -1)
The term in the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
2y( 3x-1)(3x+1)
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
-8/3
Step-by-step explanation:
find slope
(-1,5) ( 2,-3 )
(-3 -5)/( 2-(-1)) = -8/3
I'm just so lost...
Help!
Answer:
Step-by-step explanation:
In training for a swim meet, Kelly swam 600 meters in 1/3 hour. Her swimming partner Eva swan 2/3 of Kelly’s distance in 1/5 hour. How many meters did Eva swim in 1/5 hour and what was her average swimming speed?
Answer:
Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.
Step-by-step explanation:
Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in 1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.
Who knows this, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =
Answer:
144
Step-by-step explanation:
b2 – 4ac =
(–8)^2 – (4)(2)(–10) =
64 + 80
144
PLEASE GIMMI ANSWER ASAP
Sharon wants to buy a shirt that cost 40$. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt.
100% + 5% = 105 %
105/100 x 40$ = 42$
Answer:
hi the answer is 2$
Step-by-step explanation:
40 divided by 10 is 4 divided by 2 is 2
tell me if you need any more help please mark as brainliest
Samuel is x year old and
two years older than
his wife. What will be
the sum
Sum of their age
ton
years time
Answer:
Samuel : x
wife : y
sum of their age : 2+ x : 10
The revenue from selling xshirts is r(x) = 12x.
The cost of buying x shirts is c(x) = 5x + 20
The profit from selling x shirts is p(x) = r(x)-c(x).
What is P(x)?
A. p(x)=7x+20
B. p(x)=17x-20
C. p(x)=17x+20
D. p(x)=7x-20
Answer:
D. [tex]p(x)=7x-20[/tex]
Step-by-step explanation:
[tex]r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20[/tex]
Simply subtract the two functions from each other and simplify to get the result.
A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a constant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.
Answer:
Step-by-step explanation:
A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds
V = U + at
1.2u = u + a*10
=> a = 0.02u
S= ut + (1/2)at²
Distance in 1st 10 secs
S = u(10) + (1/2)(0.02)(10)²
=> S = 10u + u
=> S = 11u m
Constant speed 1.2u for 15 secs
S = 1.2u * 15
=> S = 18u m
Total Distance Covered d = 11u + 18u = 29u m
What is the volume in cubic units of a cube with a side length of 1/2 unit?
Answer:
1/8
Step-by-step explanation:
[tex]\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}[/tex]
What is the diameter of a circle with a radius of 9.5 cm ?
Answer:
9.5(2) = 19 is the diameter
Step-by-step explanation:
Answer:
19 cm
Step-by-step explanation:
Diameter is twice the radius, thus 2 x 9.5 cm = 19 cm
Helena lost her marbles. But then she found them and put them in 4 bags with mmm marbles in each bag. She had 3 marbles left over that didn't fit in the bags. How many marbles does Helena have in all? Write your answer as an expression.
Answer:
She had four marbles in four bags. 4m. She had three more marbles.
Step-by-step explanation:
4y+3
Answer:
4m+3
Step-by-step explanation:
I had this same answer in Kahn and got it right
The formulae for kinetic energy is E =-mv2.
Find the value of E when m= 900 and v=1.3,
Answer: ΔKE = 760.5 Joules
Step-by-step explanation:
Isnt the formula for ΔKE = 0.5m*v^2???
Im not going to use that formula you gave me, its wrong.
900/2 = 450
1.3^2 = 1.69
450 x 1.69 = 760.5 Jules
This is also the wrong subject btw
Halp please with this question
Answer:
Yes
Step-by-step explanation:
This is a function, There is a one to one correspondence between the input and the output and it would pass the vertical line test.
6+
Зу + 4 < 6
helppppppppp
Step-by-step explanation:
6 + 3y + 4 < 6
10 + 3y < 6
3y < -4
y < -4/3
Answer:
y < -4/3
Step-by-step explanation:
6+ Зу + 4 < 6
Combine like terms
10 +3y < 6
Subtract 10 from each side
10 +3y - 10 < 6-10
3y < -4
Divide each side by 3
3y/3 < -4/3
y < -4/3
A rectangular prism has a volume of 5x2 + 45x-180.
Its base has a length of x-3 and a width of 5.
Which expression represents the height of the prism?
1) x-3
2) x² + 9x-36
3) X-9
4) x+12
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.
[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]
Therefore, the correct answer is choice B. Hope this helps!
Answer:
I believe it is b
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smallest number yuri could be thinking of?
Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
write 10 examples of cuboid in our daily life
Answer:
Ten examples of cuboids in our daily lives are:
1.Shoeboxes
2.Bricks
3.Matchbox
4.Books
5.Mattresses
6. Juice box
8. Fridge
9.Bathroom cubicle
10.Cabinet
Step-by-step explanation:
I really hope this helps
Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.
Complete Question:
Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.
Answer:
Extra amount needed by Jenny to buy the tiles = £8
Step-by-step explanation:
Floor area = 30.0 m^2
Area covered by a pack of tiles = 2.0 m^2
Number of packs needed = 30/2
Number of packs needed = 15
Price of a pack of tiles = £9.60
Discount = 25%
Jenny will pay 75% of the marked price
Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60
Amount Jenny will pay for a pack of tiles = £7.20
Amount Jenny will pay for 15 packs of tiles = 7.20 x 15
Amount Jenny will pay for 15 packs of tiles = £108
The amount of money Jenny currently has = £100
Extra amount needed by Jenny to buy the tiles = £108 - £100
Extra amount needed by Jenny to buy the tiles = £8
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x
Answer:
5< 10x -3
add like terms first
make sure X's are on one side and numbers on the other
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3?
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x - 3
The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up
the time daniel spent gradually slowing down.
Daniel's fastest rate of speed during his ride.
The time Daniel spent at the ballpark.
the slope of the line between c and d are a constant meaning that he must have been riding at the same speed or something
d
Answer:
On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.
FAST ANSWER PLEASE THANKS
Answer: D
Step-by-step explanation:
When you are asked what is the domain, you are basically asked what x values work for the function.
Multiply the function to get [tex]xe^x + 6e^x[/tex]
[tex]e^n[/tex], n being any real number, is defined for every value you input for n. So its domain is all real numbers
Its range is also all real numbers because the domain is continous for every single value you plug in
Which pair of terms are not both true for the number 3? Mark Brainliest!
A. Integer and rational number
B. whole number and integer
C. Natural number and integer
D. whole number and irrational number
Answer:
D
Step-by-step explanation:
3 is not irrational, it can be converted into a fraction (ratio) 3/1 quite easily
evaluated 5x - (x + 3)2 for x = 2,
Answer:
0
Step-by-step explanation:
5x - (x+3)2
5x - (2x+6)
5x - 2x -6
3x - 6
3(2) - 6
6 - 6
0
An ordinary dice is thrown once write down the probability that the dice lands on a number less that 3
Answer:
Probability = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Ordinary dive have sides = 6
Numbers less than 3 on it are = 2
Probability = [tex]\frac{No. OFPossibeOutcomes}{Total NumberOfOutcomes}[/tex]
Probability = [tex]\frac{2}{6}[/tex]
Probability = [tex]\frac{1}{3}[/tex]
Answer:
= 1/3
Step-by-step explanation:
There are two numbers less than 3= 1 and 2
there are total 6 numbers in a dice. So,
= 2/6 = 1/3
Sean began jogging to live a healthier lifestyle. In his first run he ran one half mile he increased his workouts by adding two miles a month to his run he wrote the equation f(x)=0.5+2x to model his progress the variable x represents the number of___?
Answer:
Step-by-step explanation:
The words "two iles a month" tells us that the expression represened by those words is the "2x" part of the equation. x represents the number of months. The .5 part tells us that he began this process with a half mile.
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?
x + y = 26 and x + y = 12
x + y = 26 and x – y = 12
x + y = 26 and –x + y = 12
x – y = 26 and x + y = 12
Answer:
x + y = 26 and x – y = 12
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just did it
