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.
Find the third, fifth, and seventeenth terms of the sequence described by
the explicit formula: f(n)=-9.2-2.5(n-1)
Given:
The explicit formula of a sequence is
[tex]f(n)=-9.2-2.5(n-1)[/tex]
To find:
The third, fifth, and seventeenth terms of the sequence.
Solution:
We have,
[tex]f(n)=-9.2-2.5(n-1)[/tex]
For n=3,
[tex]f(3)=-9.2-2.5(3-1)[/tex]
[tex]f(3)=-9.2-2.5(2)[/tex]
[tex]f(3)=-9.2-5[/tex]
[tex]f(3)=-14.2[/tex]
For n=5,
[tex]f(5)=-9.2-2.5(5-1)[/tex]
[tex]f(5)=-9.2-2.5(4)[/tex]
[tex]f(5)=-9.2-10[/tex]
[tex]f(5)=-19.2[/tex]
For n=7,
[tex]f(7)=-9.2-2.5(7-1)[/tex]
[tex]f(7)=-9.2-2.5(6)[/tex]
[tex]f(7)=-9.2-15[/tex]
[tex]f(7)=-24.2[/tex]
Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.
Mars is about 35,000,000 miles away from earth. If the moon is 250,000 miles away from earth, about how many times further is Mars?
Answer:
mars is 140 times farther than the moon
Step-by-step explanation:
hope this helped :-)
6. Write the
equation
(0,5) and (5,1)
Answer:
There is no equation that you can write for that because the slope is undefined becasue 0 is in the denominator
Step-by-step explanation:
9514 1404 393
Answer:
4x +5y = 25
Step-by-step explanation:
One way to write the equation is ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)
(1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5
-4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1
4x +5y = 25 . . . . standard form equation of the line
__
Another way to write the equation is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1 -5)/(5 -0)(x -0) +5
y = -4/5x +5 . . . . slope-intercept form of the equation of the line
3x^2 + 2x^2=
6x^3 - 2x^3=
first answer gets brainiest :)
Answer:
1) [tex]13x^{2}[/tex]
2) [tex]208x^{6}[/tex]
Step-by-step explanation:
(3*3(x)^2) + (2*2(x)^2) = 9x^2 + 4x^2 = 13x^2
(6*6*6(x)^3) - (2*2*2(x)^3) = 216x^3 - 8x^3 = 208x^3
Which steps can be used in order to determine the solution to -1.3+4.6x=0.3+4x?
Answer:
x = 2.67
Move variables to the right and constants to the left, Then divide and you get the answer.
Step-by-step explanation:
-1.3+4.6x=0.3+4x (given)
-1.3x + 0.6x =0.3 (subtraction property of equality)
0.6x = 1.6 (addition property of equality)
x = 2.66666666667 (division property of equality)
2.66666666667 = 2.67 (rounding to the nearest tenth)
is this a function or not a function explain why or why not
P(An B)
P(AB) =
P(B)
Freshmen
Sophomores
Juniors
Seniors
1
4
2.
Boys
3
9
7
6
5
Girls
P(Boy|Senior) =
ON
?
The probability of P(Boy/Senior) is 2/37.
Given that, the total number of students=37 and the number of senior boys=2.
P(A|B)=P(A ∩ B)/P(B).
We need to find P(Boy/Senior).
What is P(A∩B)?P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.
Now, P(Boy/Senior)=2/37.
Therefore, the probability of P(Boy/Senior) is 2/37.
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Answer:
2/7
Step-by-step explanation:
2 seniors / 7 seniors in total
Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
5.00 0.55 0.005 5.005 5.5
0.55, 0.005, 5.00, 5.5, 5.005
0.005, 0.55, 5.00, 5.005, 5.5
0.005, 5.00, 0.55, 5.005, 5.5
Answer:
ima guess 3
Step-by-step explanation:
Answer:
the 3rd one
Step-by-step explanation:
0.005, 0.55, 5.00, 5.005, 5.5
brainlyest?
Is it possible for two numbers to have a difference of 5, and a sum of 12?
Answer:
yes, 8.5 and 3.5
Step-by-step explanation:
8.5 + 3.5 = 12
8.5 - 3.5 = 5
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The two numbers are 8.5 and 3.5.
Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
3x = 4 + 3 is an equation.
We have,
Let the two numbers be M and N.
Now,
Two numbers have a difference of 5.
This can be written as,
M - N = 5 _____(1)
Two numbers sum is 12.
This can be written as,
M + N = 12 _____(2)
From (1) and (2) we get,
M - N = 5
M = 5 + N _____(3)
Putting (3) in (2)
M + N = 12
5 + N + N = 12
5 + 2N = 12
2N = 12 - 5
2N = 7
N = 7/2
N = 3.5
Putting in (3) we get,
M = 5 + 3.5
M = 8.5
We can cross-check.
M - N = 5
8.5 - 3.5 = 5 (PROVED)
M + N = 12
8.5 + 3.5 = 12 (PROVED)
Thus,
The two numbers are 8.5 and 3.5.
Yes, it is possible to have two numbers that have a difference of 5 and a sum of 12.
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Simplify the expression 32a769. Assume a = 0 and b +0.
Enter the correct answer in the box.
Answer:
2a^2b^3 ^3squareroot4a
Step-by-step explanation:
PLEASEEEEE HELPPPP ASPPPPPPP
Answer:
The answer is A because a number on it's own is a constant (30) and a number with a variable is a coefficient (12h)
Use the original price and the markup to find the retail price.
Original price: $42; Markup: 7.5%
Answer:
$45.15
Step-by-step explanation:
$42*107.5%
=$45.15
PLS GIVE BRAINLIEST
Answer:
45.15
Step-by-step explanation:
Take 100% (Original Price) and add the 7.5, Aka 107.5.
Multiply the price (42) and the percent that you just got, 107.5%.
Use the percent sign!!!
The answer then should be 45.15
What is the first step in simplifying the following expression?
(((4+7) -2)^2 *4 -1 ÷2)
Your answer:
1÷2
2^2
2*4
(4+7)
(helppp!)
According to BODMAS rule...
We would first solve...
Bracket i.e.(4+7)
Choose the linear equation written in slope-intercept
form that matches each graph.
Answer:
D
Step-by-step explanation:
y-intercept or "b":
the line touches the y-axis at -4
slope:
the line rises 1, runs 1 every time
equation:
the y-intercept of -4 combined with the slope of 1/1 is the equivalent of
y=1x/1-4 OR in a more simplified format: D, y = x - 4
there are about 100 times more gold atoms in the average human body then uranium atoms about how many uranium atoms are there in the average human body and theres 2 x 10^19 gold atoms in the human body
Answer:
I'm confused
Step-by-step explanation:
what is the question???
A 3 pack of light bulbs cost $3.45 a 4 pack of the same libels cost $4.20 which pack is the better value
X-4y=15 and 8x-5y=42
Answer:
y=-2 8/9
x=31 1/2
Step-by-step explanation:
x-4y=15 --> x=4y+15
8x-5y=42
8(4y+15)-5y = 42
32y +120 - 5y = 42
27y = -78
y=-2 8/9
x=31 1/2
32 lbs of apples cost $160. How much would 25 lbs cost? *
Answer:
$125
Step-by-step explanation:
If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125
Answer
125$
Step-by-step explanation:
5x32=160
5x25=125
Each pound of apples is equivalent to 5$
Are u confused, depressed, and need help with homework?
Too bad, so am i
it's ok.
Answer:
true, i feel ya.
Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a number by 0.1, move the decimal to the left. Why?
Answer:
Because we actually divide by 10 when a number is multiplied by 0.1.
Step-by-step explanation:
Let [tex]a[/tex] be a number.
When we multiply a number by 10:
[tex]a \times 10 = 10 a[/tex] (One '0' is increased in the number)
For example:
[tex]23 \times 10 = 230[/tex]
Considering a decimal number:
[tex]2.3 \times 10 = 23[/tex]
Multiplying a number with 0.1 (which is actually [tex]\frac{1}{10}[/tex]) means dividing the number by 10.
[tex]23\times 0.1 =23\times \frac{1}{10}=2.3[/tex]
Considering a decimal number:
[tex]2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23[/tex]
Therefore, When multiplying a number by 0.1, move the decimal to the left.
Answer:
Sample Response: You move the decimal to the right when multiplying a number by 10 because you are making the number bigger. You move the decimal to the left when multiplying a number by 0.1 because you are making the number smaller.
Step-by-step explanation:
hope this helps
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction
Given:
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
To find:
The correct multiplication that can be used to check this division problem.
Solution:
We have,
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]
Multiply both sides by [tex]\dfrac{4}{15}[/tex].
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].
Therefore, the correct option is B.
Answer:
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction
Two-fifths times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 15 Over 4 EndFraction
Five-halves times StartFraction 15 Over 4 EndFraction
Step-by-step explanation:
( B) AKA 3/2 x 4/15 . This is correct because I just took the test
Plz plz help help help plz plz help plz
Answer:
since your adding to hours each time youll have 11, then the answer would be d the last one :)
Step-by-step explanation:
Answer:25.50 an hour
Step-by-step explanation:
Please help 13 points and will give branliest :)
Answer:
a. Yes
b. minutes 3 to 6
c. yes, as long as they do not have the same x-value.
Jill aunt got her a $50 gift card to her favorite boutique she has already picked out 4 shirts that cost $8.00 each how many pairs of shorts can she buy if shorts cost $10 a pair?
Answer:
1
Step-by-step explanation:
If she has four $8 shirts, that costs $32, leaving her with $18 dollars, only enough for 1 pair of $10 shorts
Hellppppppppppppppppp
Answer: im pretty sure its option 2
Step-by-step explanation:
Kelly read 13 chapters of a 25 chapter book. What percent of the book is completed?
If the pattern continues, how many tiles would be in the 62nd stage?
A. 127
B. 129
C. 131
D. 307
Macy's charges $12 for an item plus a $10 shipping and handling charge for the order. What is the cost of an order of of 5 of those items?
Answer pls idk get it pls
Answer:
$72 is your answer
Step-by-step explanation:
hope this helps ♡
Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.
The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).
Let the given number be x.
Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:
= 3(6 + x)
In conclusion, the correct option will be 3(6 + x).
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A rubber tree is 95 inches tall and growing at a rate of 4 inches per year. A cactus is 40 inches tall and growing at arate of 5 inches per year. After how many years will the rubber tree be shorter than the cactus tree