Step-by-step explanation:
y = 30
120y = 120×30 = 3600
√3600 = 60
The value of y is 60 which makes 120y a perfect square.
What is a perfect square?A perfect square is a number that represents the square of a natural number.
For example 9,16,36,64,121 etc
Here given that we have to calculate the value of y for which 120y will be a perfect square.
so 120y = n² where n is the natural number
For calculating the value of y first factorize 120
120= 2*2*2*3*5
= 2² * 2*3*5
=4 *30
from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.
So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.
Therefore the value of y is 30 for which 120*30=n² where n=60.
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El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica
Answer:
el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
width is 8 meters and length is 3*8= 24 meters
Step-by-step explanation:
Spanish
Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.
Entonces el área = largo * ancho
área = 3x * x = 3x²
3 multiplicado por área = 9x²
9x² = (3x + 40) (x + 1)
9x² = 3x² + 3x + 40x +40
9x² = 3x² + 43x +40
0 = -6x² + 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40 = 0
Usando ecuación cuadrática
a = 6, b = -43, c- = -40
x = - b ± √b²- 4ac / 2a
x = 43 ± √1849- 4 (6) (- 40) / 12
x = 43 ± √1849 + 960/12
x = 43 ± 53/12
x = 43+ 53/12 y x = 43-53 / 12
x = 96/12 y x = -10/12
x = 8 y x = - 5/6
Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros
English
The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled
If the width of the house of the house is x then the length of the house is 3x.
Then the area = length * breadth
area= 3x*x= 3x²
3 times area= 9x²
9x²= (3x+40 )(x+1)
9x²= 3x²+ 3x +40x +40
9x²= 3x²+ 43x +40
0 = -6x²+ 43x +40
0 = 6x²- 43x - 40
6x²- 43x - 40= 0
Using quadratic equation
a= 6 , b= -43 , c-= -40
x= - b±√b²- 4ac/ 2a
x= 43±√1849- 4(6)(-40)/ 12
x= 43±√1849+960/ 12
x= 43± 53/ 12
x= 43+ 53/ 12 and x= 43- 53/ 12
x= 96/ 12 and x= -10/ 12
x= 8 and x= - 5/6
Ignoring the negative value x= 8 width is 8 meters and length is 3*8= 24 meters
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
7, 12, 17
Find the 34th term
The 34th term of the sequence is 172
Arithmetic sequenceThis is a type of sequence which have a common difference (d) between each term
How to determine the 34th term of the sequenceFrom the question given above, the following data were:
Sequence => 7, 12, 17First term (a) = 7Common difference (d) = 12 – 7 = 534th term (T₃₄) =?T₃₄ = a + 33d
T₃₄ = 7 + (33×5)
T₃₄ = 7 + 165
T₃₄ = 172
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The 34th term of the sequence is 172
Sequence and seriesGiven the sequence 7, 12, 17...
The nth term of the sequence is expressed as;
Tn = a + (n-1)dGiven the following
a = 7
d = 12 - 7 = 5
n = 34
Substitute the given parameters
T34 = 7 + (34 - 1)*5
T34 = 7 + (33)*5
T34 = 172
Hence the 34th term of the sequence is 172
Learn more on sequence here: https://brainly.com/question/6561461
On the map below, 1⁄4 inch represents one
mile. Candler, Canton, and Oteen are three
cities on the map.
If Candler and Oteen are 3 1⁄2 inches apart
on the map, what is the actual distance
between Candler and Oteen in miles?
Step-by-step explanation:
ticket to the school play cost $9 for adults and $6 for students. The Smith Family bought 4 adult tickets and 5 student tickets. The Jones family bought 3 adult tickets and 7 student tickets. What was the difference in the amount spent by the two families?
Answer:
Difference is $3
Step-by-step explanation:
The Jones Family bought 3 adult tickets and 7 student tickets, so they spent 27+42=$69 spent.
The Smith Family bought 4 adult tickets and 5 student tickets, so they spent 36+30=$66 spent.
The difference between them is 69-66=$3.
So, the difference between how much the two families spent is $3.
Answer:
3$
Step-by-step explanation:
Smith family:
9x4=36
5x6=30
total=66$
Jones family:
3x9=27
7x6=42
total=69$
difference=3$
PLEASE HELP!!!!!!!!!!!!
Answer:
1. 10√3
2. -√5
3. 21√3 -9√5
4. 12√7-√11
5. 8√5-3(√5*√4) = 8√5- (3*2)√5= 2√5
6. √5*√4 -√5= 2√5-√5= √5
7. 3√5*√9 +√5*√4 -√49*√5 = 15√5+2√5-7√5= 10√5
8. √6*√4 - √6*√9 + √16*√6= 2√6-3√6+4√6= 3√6
Hope it helps you :)
Can anybody help me with this problem?
Answer:
$830
Step-by-step explanation:
x/2=200+215
x/2=415 multiply by two on both sides to get x alone
x=830
Marina picked X apples in Orchard she and her friends 86 then leaving 36 Apples The number of apples can be represented by the equation X -6 equals 36 plot a point on the number line to represent X
Answer:
[tex]x = 42[/tex]
See attachment for number line (see that the dot is on 42)
Step-by-step explanation:
Given
[tex]x - 6 = 36[/tex]
Required
Plot x on a number line
First, we solve for x
[tex]x - 6 = 36[/tex]
Add 6 to both sides
[tex]x - 6 +6= 36+6[/tex]
[tex]x = 42[/tex]
See attachment for number line
help?? lols ,,
will mark brainliest, i guess
Answer:
-80x + 28y - 56
4(-20x + 7y - 14)
can someone helppp!! i will guy brainlist if it’s right!
Answer: 12.75
Step-by-step explanation:
10.25+ .50(5)=12.75
Fiona is seven years less than twice the age of Carlos. The combined age of
Fiona and Carlos is 53 years.
Which of the following systems of equations represents the situation?
A.F= 2C – 7
C+F = 53
B.C= 2F - 7
C + F = 53
C.F = 53 – 7
C + F = 2C
How old is fiona and how old is Carlos
What is the area of these trapezoid
Answer:
1. 54ft squared 2. 48 cm squared
Step-by-step explanation:
A grocery store recently sold 10 cans of soup, 5 of which were lentil soup. What is the experimental probability that the next can sold will be lentil soup?
Write your answer as a fraction or whole number.
plz halp me
Answer: the answer is 1/2
Step-by-step explanation: I just got the answer form IXL
Answer:
1/2 is the answer
Step-by-step explanation:
1/2
The seagull population on a small island in the Atlantic Ocean can be calculated using the formula
P(t) = 5.3/11/?, where P is the population in hundred thousands, and t is in years. What will the seagull
population on the island be after 5 years? (Round to the nearest tenth.)
a. about 41.6 hundred thousand
c. about 172.4 hundred thousand
about 3.7 x 10' hundred thousand d. about 66.5 hundred thousand
The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)
Answer:
d. about 66.5 hundred thousand
Step-by-step explanation:
Given that :
P(t) = 5.3t^(11/7)
Population, P is in hujdred thousand ; t = number of years
Population after 5 years ;
t = 5
P(5) = 5.3 * 5^(11/7)
P(5) = 5.3 * 5^1.5714285
P(5) = 5.3 * 12.542422
P(5) = 66.474840
P(5) = 66.5 (approximately)
Hence, population after 5 years will be about 66.5 hundred thousand.
2) Find the slope of the line
On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was 20 less than twice the
number of burritos sold. Pizza sold for $2.50 a slice and burritos sold for $3.00 each. The cafeteria collected a total of
$358 for selling these two items. Homework Help
a. Write two equations with two variables to represent the information in this problem. Be sure to define your
variables by writing let statements.
b. Solve your system from part (a). Then determine how many pizza slices were sold.
Answer:
82
Yes, that is the answer. Try it and you'll get it correct, I think...
Write an equivalent expression for 3(2x + 4y).
Answer:
6x+12y
Step-by-step explanation:
I hope this helps, and STAYYY!!!!!! Fresh!
Classify this triangle by its sides and angles.
Answer:
choice 3) acute and equilateral
Step-by-step explanation:
In October Sally drove 560 miles in her car.
The car travelled 34.5 miles for each gallon of petrol used.
Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.
Work out the cost of the petrol the car used in October
Answer: £80
Step-by-step explanation:
First, we need to calculate the number of gallons used by Sally. This will be:
= 560 / 34.5
= 16.23 gallons
Since 1 gallon = 4.55 litres, we calculate the number of liters and this will be:
= 16.23 × 4.55
= 73.85 liters
Since Petrol cost £1.08 per litre, the cost of the petrol will be:
= £1.08 × 73.85
= ££79.758
= £80 approximately
Question 4 of 10
Which of the following is equal to 9•4 ?
O A.
O B. V.4
O C. 36
O D. 18
Answer:
36
Step-by-step explanation:
9x4=36
8. Mystery Number: a number is multiplied by 5. The product is then added to 11. The square root of that sum is equal to 9. Find the number. Show your work or steps.
Answer:
14
Step-by-step explanation:
14x5=70
70+11=81
√81=9
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
What is the volume of this prism?
Answer:24
Step-by-step explanation:
LxWxH = 4x2x3
4x2 = 8
8 x 3 = 24
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
-x^2+6x-5=f(x)
find the vertex and x/y intercepts
HELP ME PLEASE ............................
PLEASE HELP ASAP
Find the surface area and the volume of the prism.
Answer:
Surface Area: 1320
Volume: 2160
Step-by-step explanation:
Before calculating Volume and Surface Area, we need to calculate the missing side of the right triangle using the Pythagoreon theorem: [tex]a^2+b^2=c^2[/tex]
where c is the hypotenuse, 26.
Substituting the values into the equation you get:
10^2 + b^2 = 26^2
100 +b^2 = 676
Subtract 100 from both sides.
b^2 = 576
b = 24
Now that we have the missing side, we can calculate the rest of the question.
Surface Area = 2([tex]\frac{1}2[/tex] × 24 × 10) + (18 × 26) + (18 × 24) +(18 × 10)
240 + 468 + 432 + 180 = 1320 unit^2
Volume = [tex]\frac{1}2[/tex] × base × height × length
[tex]\frac{1}2[/tex] × 24 × 10 × 18 = 2160 unit^2
Brainliest if you don't mind ;)
In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
A
Step-by-step explanation:
A triangle has 180 degrees.
So, 10 + 145 + x = 180
x = 25
This means that the angles in the triangle are:
10, 145, and 25
Using this information, only A has the same values so it is the answer
Help meeee no Decimal answers.
Answer: 1,145,375cm^3
Step-by-step explanation:
Answer: Answer in photo below.
Hope this helps!
How much simple interest would Alexis earn if he deposits $2450 in a savings account with a simple interest rate of 12% for 15 years.
Answer:
4410
Step-by-step explanation:
please help, thank you!
Answer:
Triangle OBA is a right angled triangle since a radius meets a tangent at an angle of 90°..So use pythogrus theorem to find the radius.