Answers
Answer:
7.4% increase (approximated)
Step-by-step explanation:
✔️Dimension of the original rectangle:
Length = 30 cm
Width = 20 cm
Perimeter = 2(L + W) = 2(20 + 30) = 2(50) = 100 cm
✔️Dimension of new rectangle:
Length is increased by 10% = 10/100 × 30cm = 3 cm
New length = 30 + 3 = 33 cm
Width is increased by 5% = 5/100 × 20cm = 1 cm
New width = 20 + 1 = 21 cm
✔️Perimeter of New rectangle = 2(L + W) = 2(33 + 21) = 2(54) = 108 cm
✔️Percentage increase in the perimeter of the rectangle = (perimeter of New rectangle - perimeter of original rectangle)/perimeter of original rectangle × 100
= (108 - 100)/108 × 100
= 8/108 × 100
≈ 7.4% increase
Related Questions
Find angle x, giving your answer to 1 decimal place.
38°
x
11 cm
8 cm
Answers
A system of linear equations is shown x-4y=1, 3x+2y=-11 what is the solution to the system of equations
Answers
Answer:
x= -3 , y= - 1
Step-by-step explanation:
hope I was able to help:)
cube root(8+ 3 root 21)+ cube root (8-3 root 21)
plese give good answer with explanation or I will report
Answers
Answer:
[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex] = 1Step-by-step explanation:
Given[tex]\sqrt[3]{8+3\sqrt{21} } + \sqrt[3]{8-3\sqrt{21} }[/tex]To find The value of the expressionSolutionLet's rewrite the given as:
[tex]\sqrt[3]{3\sqrt{21} + 8} - \sqrt[3]{3\sqrt{21} - 8}[/tex]Let the value is m and the expressions under 3rd roots are a and b, then we have
a = 3√21 + 8, b = 3√21 - 8m = ∛a - ∛bCube the both sides:
m³ = (∛a - ∛b)³m³ = a - b - 3[tex]\sqrt[3]{a^2b}[/tex] + 3[tex]\sqrt[3]{ab^2}[/tex]Simplify in bits:
a - b = 3√21 + 8 - 3√21 + 8 = 16ab = (3√21 + 8)(3√21 - 8) = 9*21 - 64 = 125∛ab = ∛125 = 5So the expression becomes:
m³ = 16 - 3[tex]\sqrt[3]{125a} + \sqrt[3]{125b}[/tex]m³ = 16 - 15∛a + 15∛bm³ = 16 - 15(∛a - ∛b)m³ = 16 - 15mSolve for m:
m³ + 15m - 16 = 0m³ - 1 + 15m - 15 = 0(m - 1)(m² + m + 1) + 15(m - 1) = 0(m - 1)(m² + m + 16) = 0m - 1 = 0, m² + m + 16 = 0m = 1 is the only real root, the quadratic equation has no real rootsThe answer is 1
Solve problem using substitution
a = 3b + 1
5b - 2a = 1
Answers
a=−13, b=−5
What is the equation of the line in y=mx+b format?
Answers
Y=1/2x+ -1
Or
Y=1/2x-1
Carlos is a business marketer. He earns $28.75 per hour. He works 3934 hours. What is
his straight-time pay?
Answers
Answer:
113,102.5Step-by-step explanation:
PLEASE HELP ASAP Jada made 10 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each container?
2/5 OF A CUP
1/10 CUP
5/2 OF A CUP
40 CUPS
Answers
Answer:
C.
Step-by-step explanation:
10 cups divided by 4 containers = 2.5 or 5/2 cups per 1 container
A rectangular pool is 6 feet by 12 feet. A 4 foot walkway is placed around the entire pool. What is the area of just the walkway?
PLEASEE HELP
Answers
Explanation: First we would find the area of the pool. 6 times 12 is 72.
Since 4 feet is added add that to 6 AND 12.
Now multiply 10 and 16. 10 * 16 = 160.
Subtract 72 from 160. 160-72= 88 ft^2
Hope this helps!!
Please answer this worksheet for me. It will help so much. I gave 30 points for this question. Don't make it wasted. Person with the correct answers will get brainiest. Everybody will get a thanks though.
Answers
Answer: im doing it on a different page but the answers are there
Step-by-step explanation: hopes this helps :)
x/7 - 3 is greater than or less than 7
Answers
Answer:
less than
Step-by-step explanation:
pls mark brainliest
hope this helps
At the city museum, child admission is $5.30 and adult admission is $8.60. On Wednesday, 155 tickets were sold for a total of $1049.20. How many adult tickets were sold that day
Answers
Answer:
122 adults
Step-by-step explanation:
1049.20(price of tickets sold)÷8.60(ticket price per adult)=122
I am stuck with the above question, please help
Answers
Answer:
D
Step-by-step explanation:
Two lines are parallel if they have the same slope.
the given equation is in the form
y=mx+b
where
m=-5/2
b=-7
m is the slope. You can see this by noting that if you increase x by 1 you increase y by m.
So, in this case, you are looking for a line with slope of -5/2.
You can solve each of the choice equations for y to see which one has the right slope.
A: y=(2/5)x-6 no good
B: y=-(2/5)x-1 no good
C: y=(5/2)x-4 no good
D: y=-(5/2)x-4 GOOD
Help me guys it's due this morning
Answers
Answer:
No
Step-by-step explanation:
Y is not more than 9
-1 over 5 times (-5) plus 8 is 9
A tea shop brewed 8 7/8 pitchers of chamomile tea, of which it sold 2 3/5 pitchers. How many pitchers remained unsold?
Answers
Answer:6 11/40
Step-by-step explanation: You can change your units to decimals or to fractions of equal value. Decimals are easier for this so 8 7/8= 8.875 and 2 3/5 =2.6. Then subtract: 8.875-2.6= 6.275 You can now convert back to a fraction by simplifying the .275 into 11 by dividing by 25 and 1000 into 40 by dividing by 25. 6+11/40= 6 11/40 tea left
Answer:
6 11/40
Step-by-step explanation:
First you have to convert the fractions into improper fractions, where 8 7/8 would turn into 71/8 and 2 3/5 would turn into 13/5. Then you have to find a common denominator which would be 40, so you get 355/40 and 104/40. Then to find the remaining amount, you have to subtract 104/40 from the 355/40, so 355/40 - 104/40, which equals 251/40. This turns into 6 11/40, which can't be simplified any further. Hope this helps :)
Graph the following word problem and then write an equation: Jamal started with $4 in his savings and makes an additional $3 per week.
Answers
Answer:
use desmos
Step-by-step explanation:
put y=3x+4 and make a graph from that its really helpful trust me
Mr Hall walked of the way from his house to work.
He walked 6 miles.
How far is it in total from his house to work?
?
6 miles
Answers
Answer:
6 miles
Step-by-step explanation:
Identify the slope and y intercept (m= and b= ) y=-4xt6;
Answers
Answer:
y=b slope= 4/1
Step-by-step explanation:
Answer:
m=-4, b=6
Step-by-step explanation:
y=-4x+6
y=mx+b where m=slope and b=y-intercept
So, I think the Knave of Spades is telling the truth because he wasn't accused of anything but im not sure. Brainliest goes to whoever answers the question properly :>
Answers
Answer:
B
Step-by-step explanation:
It all starts whether the Knave of Hearts tells the truth or not. You can decide yourself.
Hearts: H
Clubs: C
Diamonds: D
Spades: S
If H lies, C tells the truth, therefor D lies. So S tells the truth
If H tells the truth, C lies. Therefore D tells the truth and S lies
Answer:
2
Step-by-step explanation:
If the knave of hearts did steal the tarts, then the knave of clubs is lying saying that the knave of hearts is lying which mean the knave of diamonds is actually telling the truth when the knave of clubs said the knave of diamonds is lying they are therefore lying.
So in the question may be knave of hearts and Knave of diamonds may be telling the truth OR knave of clubs and knave of spades are telling the truth.
In conclusion, Alice stole the tarts xoxo
Find the missing side length of this right triangle
Answers
A rate of change must be positive
Answers
Answer:
A rate of change can be positive or negative.
Step-by-step explanation:
which graph represents exponential decay?
Answers
Answer:
I THINk i did this but i will try to reamber
Step-by-step explanation:
There were 35 apples in a basket. Martha found that 6 apples were rotten. Select two statements that are true.
Answers
Answer:
The ratio of the number of rotten apples to the total number of apples is 6:35
The ratio of the number of good apples to the number of rotten apples is 35:6
Step-by-step explanation:
If you look at the wording the orders are switched.
Rotten apples: Good apples
Good apples: Rotten apples
In a video game, a guppy that escapes a net turns into three goldfish. Each goldfish can turn into two betta fish. Each betta fish can turn into two angelfish. Complete the diagram and write the number of fish at each stage. Write and evaluate an expression for the number of angelfish that can be formed from one guppy
Answers
Answer: 1 guppy = 3 goldfish
1 goldfish = 2 betta fish.....so 3 goldfish = (3 * 2) = 6 betta fish
1 betta fish = 2 angel fish....so 6 beta fish = (6 * 2) = 12 angel fish
so the number of angelfish that can be formed by 1 guppy is 12 angelfish
The circumference of a circle is the around it?
Answers
Answer:
Yes
Step-by-step explanation:
Can someone help me with this math!
Answers
Answer:
45
Step-by-step explanation:
((100-25)/100)× 60 is the correct answer
What is the approximate solution to the system of equations graphed below?
A.(7,-2)
B.(-1.3, 1.9)
C.(1.9,-1.3)
D.(1.8, -0.7)
Answers
Answer:
a
Step-by-step explanation:
What is the product of
(3y^-4) (2y^-4)
Answers
Answer:
Step-by-step explanation:
3(2)* y-4*y-4
6 y to the negative 8
if my answer helps please mark as brainliest.
Pls Help!!! Evaluate each expression for the given value of each variable.
...
Answers
a.
2 + (3)^3
2 + 27
Answer: 29
b.
(1/2)^2
Answer: 1/4
c.
3(5)^2 + (3)
75+3
Answer: 78
d.
10(4) + (6)^2
40 + (6)^2
40 + 36
Answer: 76
2. Convert 24 pesos to U.S. dollars.
Answers
Answer:
24 dollars
Step-by-step explanation:
Answer:
24 Mexican Peso equals
1.16 United States Dollar
Step-by-step explanation:
Jess used
11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?
A- 30
B- 120
C-200
D-380
Answers
Answer:
30
Step-by-step explanation:
Explain: all the other numbers are too high lol