Given :
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.
To Find :
By what percentage has his garden changed with these changes.
Solution :
Let, initial length and breadth is x and y.
So, initial area = xy .
Size after increasing them :
y' = y + 0.50y
y' = 1.5y
x' = x + 0.2x
x' = 1.2x
Final area = (1.5y)(1.2x) = 1.8xy
So, percentage increase is :
[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]
Therefore, percentage increase in are is 80%.
Hence, this is the required solution.
A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be
found using the formula p(n)= 14 + 3h. What is the price to rent a bike for
5 hours?
Answer: 29$
You have to replace h by 5 because we need to know the price for 5hours then you just add everything . I wish it helped you :)
The price to rent a bike for 5 hours by using the equation p(h)= 14 + 3h will be $29.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be found using the formula p(h)= 14 + 3h.
Then the price to rent a bike for 5 hours will be given as,
p(5) = 14 + 3(5)
Simplify the equation, then we have
p(5) = 14 + 15
p(5) = 29
The price to rent a bike for 5 hours will be $29.
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The midpoint of AB is M(-2, 5). If the coordinates of A are (1, 7), what are the coordinates of B?
Answer:
(-5, 3)
Step-by-step explanation:
The midpoint formula: [tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})[/tex]
Now, if we work backwards, starting with the x-coordinate
-2 * 2 = -4 - 1 = -5
Then, the y-coordinate
5 * 2 = 10 - 7 = 3
We reach our answer of (-5, 3). A good habit would be to plug these points back into the formula to check if your answer is correct.
A number line going from negative 1 to positive 1 in increments of 1. There are 4 equal spaces between each number. Is −1 4 < −3 4 ? Use the number line to explain your answer. No, because Negative one-fourth is to the left of Negative three-fourths No, because Negative one-fourth is to the right of Negative three-fourths Yes, because Negative one-fourth is to the left of Negative three-fourths Yes, becauseNegative one-fourth is to the right of Negative three-fourths
Answer:
the answer is option B no because -1/4 is to the right of -3/4
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
help me please due in 2 minutes
A two umn table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5. Which equations represent the data in the table? Check all that apply
Answer
A.y-6=-5/4(x+2)
D.y-1=-5/4(x-2)
E.y-3.5=-1.25x
Step-by-step explanation:
The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50
The data given :
X ____ Y
-2 ____ 6
0 ____ 3.5
2 ____ 1
4 ____ - 1.5
We could represent the equation in the form :
y = bx + cb = slope = Rise / Run
b = slope = Rise / Run c = intercept
From the table :
Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25
Using any pair of (x, y) values, we can obtain the intercept value :
Using ; (2, 1)
1 = -1.25(2) + c
1 = - 2.50 + c
1 + 2.50 = c
c = 3.50
Therefore, the equation becomes ; y = - 1.25x + 3.50
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-0.2 + 7/10 Enter the answer as an exact decimal or simplified fraction.
Answer:
.5 or 1/2
Step-by-step explanation:
Help With Geometry Work Please!
Answer:
b
Step-by-step explanation:
i think
Perform the indicated operations. 2−26 −48−16 07−6 76 −200 −73 Arrow −48−16 07−6 −200 −73 1−13 −48−16 07−6 38 −200 −73 Arrow 1-13 07−6 38 −73
Not certain if this question is complete
Answer and Step-by-step explanation:
We perform the operations given, using the rules of subtraction and addition on the number line:
Two negative signs adds up to a negative result, one negative number and positive number may add up to a negative or positive value depending on which is bigger :
2-26= -24( the positive value 2 reduces negative value by 2 and we are left with -24)
-48-16= -64( two negative values add up to a negative value)
07-6= 1( seven is bigger than 6 hence positive result)
We use the above method to solve the given expressions
+76-200-73= -124-73=-192
-48-16=-64
+7-6-200-73=-199-73=-272
+1-13=-12
-48-16=-64
+07-6=1
+38-200-73=-162-73=-235
1-13=-12
07-6=1
38-73= -35
1, -1, 3, 38 & 0, 2, -2, -24
Can someone please help me with this problem ? I would love y’all forever !
what is 0.969696 repeating as a fraction?
Answer:
[tex]\frac{32}{33}[/tex]
I really need help on this question
Answer:
B
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 6, - 9) with x- coordinate - 6, thus
x = - 6 ← is the equation of the perpendicular line
A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?
Answer:
37.7 feet
Step-by-step explanation:
1/2 mile is 2,640.. which you would do 2,640 ÷ 350 and it will give you some number... now with that number you would multiply that with 5.
Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.
How many months will it take for her to reach her goal of $1,350?
18 months
16 months
12 months
14 months
Answer:
Her goal : 1350
What she has now: 174
she earns 84$ a month
answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.
Step-by-step explanation:
What is the slope of x=3y+9 and why?
find the value of the x intercept -x+y=-5
Answer:
x=-5=(5,0)
Step-by-step explanation:
Answer:
X-intercept is five. The point is (5,0)
Step-by-step explanation:
X-intercept is when the line crosses the x-axis, ie when y is o. Sub zero in for y.
-x+y=-5
-x+0=-5
-x=-5
x=5
Write a unit rate for: 71 inches of cloth for $23.43.
Answer:
$0.33 per inch
Step-by-step explanation:
Divide cost by inch to get cost per inch.
givin the standard form for a trinomial ax^2+bx+c, and factored form (px+r)(qx+s) match the following:
a=
b=
c=
to
(p*s)+(q*r)
r*s
p*q
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
We are given the standard form of trinomial
[tex]ax^2+bx+c[/tex]
After factorization, the form is:
[tex](px+r)(qx+s)[/tex]
We have to compare the factored form and the standard form to find the values of a,b and c in terms of p,q,r and s. For this purpose, the factored form will be converted into standard form.
Multiplying the both factors
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Comparing both forms with each other
After comparing
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
HELP THIS IS DUE TONIGHT BY TWELVE I DINT KNOW HOW TO DO THIS!!!
Answer:it’s (2,5)
Step-by-step explanation:
simplify by using distributive property
3+11(2c+3)
Answer:
22c+36
Step-by-step explanation:
3+11(2c+3)
3+22c+33
3+33+22c
36+22c or 22c+26
Hey there!
In order to simplify this expression, all we have to do is distribute 11 by multiplying it times 2c and 3 and then combining like terms,
3+22c+33
As you can see, 3 and 33 are like terms; in order to simplify the expression, we should add them together.
36+22c
or
22c+36
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\rm{Emotional~Helper}[/tex]
Write the equation in slope-intercept form. Then identify the slope and the y-intercept.
6x + 2y = 10
Slope formula - y = mx + b
6x + 2y = 10
subtract x
2y = 10 - 6x
divide all by 2
y = 5 - 3x
y = -3x + 5
5 is the y-intercept, and -3x is the slope
hope this helps :)
If you help not only will I give you brainliest but also you gain good deeds.
2/3 - 2/5
= 10/15 - 6/15
= 4/15
There are 4 sharks and 5 dolphins. Write the ratio of dolphins to animals.
Answer:
5:9
Step-by-step explanation:
Number of sharks = 4
Number of dolphins = 5
Number of animals = number of sharks + number of dolphins
Number of animals = 4 + 5 = 9
Therefore, the ratio of dolphins to animals = 5:9
The cost for each soda is $2.25. If your friend Calvin buys a certain number of Coca-Colas (c) and Mountain Dews (m), which answer choice shows an expression that represents the total cost of the Coca-Colas and Mountain Dews that Calvin bought?
Answer:
2.25(c+m)
Step-by-step explanation:
Solve
4x - 9 = 6 - x
Answer:
x = 3
Step-by-step explanation:
The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.
Given Equation:
4x - 9 = 6 - x
Add both side x of the equation
4x - 9 +x = 6 - x + x
5x = 6
Now, divide both side by 6 gives
5x/ 5 = 6/5
x = 1.2
Thus, the value of x is 1.2.
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-7 + 3x = -10x +25
Show the work
Answer:
Step-by-step explanation:
Move -7 to the left, so make 7 positive and & move it next to 25
1. 3x = -10x +25+7
combine 25 & 7
2. 3x=-10x+32
move 10 to the side & combine with 3x
3. 3x+10x=+32
4. 13x = 32
lastly divide 32 from 13
x= 32/13 OR x= 2 6/13Answer:x=32/13
Step-by-step explanation:
Rearrange terms−7+3=−10+25−7+3x=−10x+25
3−7=−10+25
add 7 to both sides of the equation
then Simplify
add 10 to both sides of the equation the
x=32/13
11. How much did the engineering project change the vertical height of the tower? Did the height increase or decrease? Explain how you found the amount of change. Give your answer in centimeters, rounded to the nearest centimeter. (4 points: 2 points for the change in height, 2 points for the explanation)
Answer:
when you find out let me know pls. thanks.
have a great day and good luck
Step-by-step explanation:
2. Which system of inequalities are represented by the graph below:
a) y 2x + 4
y<-x + 4
b) y> 2x + 4
y <-X + 4
c) Y S-2x + 4
y>X-2
d) y 2x + 4
YS-X+4
tem of equations have?
Answer:
12
Step-by-step explanation:
Use the slope-intercept form y=mx+b to find the slope m and y-intercept b
.
Slope: 12
y-intercept: (0,−2)
Daniel has $125 in his bank account. He saves $40 each week from his allowance. He needs a total of $600 in order to buy a PS5. Complete the equation, and determine how many weeks it will take him to save up enough money.
[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]
We have,
Initial amount = $125 (Constant)Per week savings = $40Amount to be collected for buying a PS5 = $600What to do?
We need to frame an equation with variable determining the no. of weeks it will take him to save up the money.Here's how to do?
Let the no. of weeks be x. Then,
Amount collected by savings = $40x
So, The equation will be:
➝ 125 + 40x = 600
Note:
Don't forget to add the unit i.e. dollars '$' here.What’s the answer for 5x + 12
6x
Answer:
8
Step-by-step explanation:
21x+12=180
21x= 168
x=8
Step-by-step explanation:
Both the angles added together create 180 degrees so,
15x+12+6x = 180
21x+12=180
21x=168
x=8
Someone please help me answer this question please and thank you.
Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards. A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards. The object of the game is to be the first to get rid of all the cards in your hand.
Preparation: The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.
Shuffle the cards and deal out 7 cards to each player. Place the remaining cards in a pile (the draw pile) in the center of the table. Turn one card over to create the discard pile.
On his/her turn, each player will:
Either draw a card from the draw pile OR pick up the top card of the discard pile. (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.)
The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.
If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously.
If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.
At the end of each turn the player must place a card on the discard pile. If this is the last card in his/her hand, then he/she is the winner!
Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out. At that point, the player with the least number of cards in his/her hand is the winner.
Variation:
Students collect cards to make books but can only add a card to a book they have placed on the table themselves. At the end of the game, the player with the most books is the winner.