Answer:
The question is asking what is the volume of water in the full pool. It is 70 liters.
Step-by-step explanation:
Let P represent the volume of a full pool.
"2/5 of a kiddy pool was filled with water" can be written as:
(2/5)P.
"After pouring out 5/7 of the amount of [I assume from the 2/5P] water in the pool" can be written as:
(2/7)(2/5)P, or (4/35)P [This represents the amount of water remaining in the pool after the above shenanigans.]
The we are told that when 62 liters are added back to the pool, it is full. That can be written as:
62 + (4/35)P = P [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]
62 = (31/35)P
P = 62(35/31)
P = 70 liters
Q). The sum of four consecutive natural numbers is 166. What are the numbers?
Answer:
see that attachment
I hope it's help you
Let the four consecutive natural numbers are X,X+1,X+2,X+3
Their sum = X+X+1+X+2+X+3 = 4X+6
According to the given problem
Their sum = 166
⇛ 4X+6 = 166
⇛4X = 166-6
⇛4X = 160
⇛X = 160/4
∴ X = 40
X+1 = 40+1 = 41
X+2 = 40+2 = 42
X+3 = 40+3 = 43
The four consecutive natural numbers are 40,41,42,43
also read similar questions: The sum of two prime numbers is 85, what is the product of these two prime numbers? A. 85 B. 91 C. 115 D. 166
https://brainly.com/question/779569?referrer
i need to find the zeros by factoring but im stuck plss help me i think the zeros may be 0, 1, -4, and 4 but i dont know how to get them??
What is the sum of 7/13 and 11/26? Please help!!
Answer:
The sum of 7/13 and 11/26 is 25/26.
Step-by-step explanation:
7/13 + 11/26
The common denominator is 26
7/13 *2/2 +11/26
14/26 + 11/26
25/26
I rlly don’t understand due today please help!
Answer:
a) 2x+4
b)x=8
Step-by-step explanation:
a) x+x+4 =2x +4
b) 2x+4= 20
2x = 16
x=8
Jay bought 8 packets of Chips
c) Jay: 8 x 60
=£4,80
Lauren : 12 × 60
= £7,2
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $24. Option B is a commission rate of 10% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Answer: the answer is $9,600
Step-by-step explanation:
option A = 40(24) = option B = x (.1) where x is her gross sales
40(24) = x(.1)
40(24)/.1 = x = sales = $9600
Write the inequality represented by the graph below
Answer:
y≥3x-1
Step-by-step explanation:
i did the thing
and y≥the mx+b
m=slope
b=y intercept
the symbol determines which way the shaded part faces
pls mark brainliest
Answer:
the guy up there is correct
Step-by-step explanation:
i tried the answer and it was correct
Shania bought a $1,455 drum set on an installment plan. The Installment agreement included a 15% down payment and 18 monthly payments of $80.78 each
a. How much is the down payment
b. What is the total amount of the monthly payments?
c. What is the total cost of the plan?
d. What is the finance charge?
The down payment will be $218.25, the total amount of the monthly payments is $1454.04.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Shania bought a $1,455 drum set on an installment plan.
The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each
Down Payment = (15/100)x1444
= $218.25
The total amount of the monthly payment = $80.78x18
= $1454.04
Total cost of the plan = $1454.04 + $218.25
= $1672.29
Finance charge = $1672.29 - $1455
= $217.29
Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Last year, a website had 40,000 visitors and this year there is 37,000 visitors what is the percent change of the visitors
Answer:
-7.5 %
Step-by-step explanation:
Percent change can be calculated as
(change)/(original number) * 100, with the * 100 representing a change from decimal (which is what we get from dividing) to percent.
Here, change is (final - original) = 37000-40000 = -3000. Divide this by the original number, 40000, to get -3000/40000 = -0.075. Multiply this by 100 to get -7.5 % as our answer
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4:
please helpp
Answer:
Subtract 2x from each side, Subtraction Property
Step-by-step explanation:
Solve for X please and thank you
Answer:
x = 48
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
the product of the external part and the entire secant is equal to the square of the measure of the tangent , that is
2(2 + x) = 10² = 100 ( divide both sides by 2 )
2 + x = 50 ( subtract 2 from both sides )
x = 48
A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minutes will there be a total of 245 pages printed?
17 minutes
hope this helps!
which equation generates the value in the table
Answer:
A
Step-by-step explanation:
Choose the correct transformation.
Answer:
A
Step-by-step explanation:
First they flipped it, then they slid it.
Solve the following compound inequality. Graph the solutions. x <2 and x> -1 Solve the compound inequality. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solutions are enter your response here. (Simplify your answer. Type an inequality or a compound inequality.) B. The solutions are all real numbers. C. There is no solution.
please help :(
A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $225 each, and the desktop computers cost $250 each. How many total computers would someone buy if they get 19 notebooks and 12 desktop computers? How many total computers would someone buy if they get
n notebooks and
d desktop computers? (n+d)
Answer:
n=19
d=12
$225n+$250d=
$225(19)+$250(12)=
4275+3000
=7275
Step-by-step explanation:
The two-way table shows the estimated number of students who will enroll in three area high schools next year. A 5-column table has 4 rows. The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total. The second column is labeled Tenth grade with entries 110, 180, 160, 450. The third column is labeled Eleventh grade with entries 120, 150, 140, 410. The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400. The fifth column is labeled Total with entries 310, 450, 500, 1,260. In decimal form, to the nearest tenth, what is the probability that a randomly selected Riverside High School student is in twelfth grade? 0. 2 0. 3 0. 4 0. 5.
The probability that a randomly selected Riverside High School student is in twelfth grade is 0.4 and it can be determined by using probability.
Given that,The two-way table shows the estimated number of students who will enroll in three area high schools next year.
A 5-column table has 4 rows.
The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.
The second column is labeled Tenth grade with entries 110, 180, 160, 450.
The third column is labeled Eleventh grade with entries 120, 150, 140, 410.
The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400.
The fifth column is labeled Total with entries 310, 450, 500, 1,260.
We have to determine,What is the probability that a randomly selected Riverside High School student is in twelfth grade?
According to the question,The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.
The number of randomly selected Riverside High School students is in twelfth grade = 200,
And Total number of students in Riverside High School is = 500
Therefore,
The probability that a randomly selected Riverside High School student is in twelfth grade is,
[tex]\rm P(12th \ grade \students ) = \dfrac{Number \ of \ students \ in \ 12th \ grade }{Total\ number \ of \ students}\\\\ P(12th \ grade \students ) = \dfrac{200}{500}\\\\ P(12th \ grade \students )= 0.4[/tex]
Hence, The required probability that a randomly selected Riverside High School student is in twelfth grade is 0.4.
For more details about Probability refer to the link given below.
https://brainly.com/question/795909
Answer:
C
Step-by-step explanation:
If y varies inversely with x and y = 5 when x = 4, which equation that relates x and y?
Select one:
A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?
OA 5ft
OB. 3 ft
OC. 41
OD. 5.5 ft
Answer:
A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?
OA 5ft
OB. 3 ft
OC. 41
OD. 5.5 ft
Amelia and her children went into a grocery store and she bought $10
worth of apples and bananas. Each apple costs $1 and each banana
costs $0.50. She bought a total of 12 apples and bananas altogether.
Determine the number of apples, x, and the number of bananas, y,
that Amelia bought.
how to find the circumcenter of a triangle with given vertices
Answer:
What is the formula of area of Circumcircle?
Image result
We know that area of circle = π*r2, where r is the radius of given circle. We also know that radius of Circumcircle of an equilateral triangle = (side of the equilateral triangle)/ √3. Therefore, area = π*r2 = π*a2/3.
Step-by-step explanation:
HURRY QUICK!!
Evaluate the following expression when x = -4 and y = 4.
Answer: Should be A
Step-by-step explanation:
Not 100% sure but I'm pretty sure it's A
Answer:
A
Step-by-step explanation:
You need to insert the values into the equations
1) [tex]\frac{x^{6} -x}{4y}[/tex]
[tex]\frac{(-4)^{6} -(-4)}{4(4)}[/tex]
Then open the brackets
[tex]\frac{4096 -(-4)}{16}[/tex]
Open the brackets again not forgetting that 2 - equal a positive
[tex]\frac{4100}{16}[/tex]
Simplify
[tex]\frac{1025}{4}[/tex]
у
6
What is the sequence of transformations that maps A ABC to
A A'B'C'?
B
5
4
3
Select from the drop-down menus to correctly identify each step
A
2
А
1
C
Step 1: Choose...
-6-5-4-3-2-13
1 2 3
4 5 6 7 8
A
Step 2: Choose...
-2
-3
<
-5
8
-6
The sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units
The vertices of triangle ABC are given as:
[tex]A = (1,9)[/tex]
[tex]B = (3,12)[/tex]
[tex]C =(4,4)[/tex]
The vertices of triangle A"B"C" are given as:
[tex]A" = (3,-3)[/tex]
[tex]B" = (5,-6)[/tex]
[tex]C" =(6,2)[/tex]
Start by reflecting the coordinates of triangle ABC across the x-axis.
The rule of this transformation is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' =(1,-9)[/tex]
[tex]B' =(3,-12)[/tex]
[tex]C' =(4,-4)[/tex]
Next, shift triangle A'B'C' 2 units right and 6 units up
The rule of this transformation is:
[tex](x,y) \to (x+2,y+6)[/tex]
So, we have:
[tex]A" = (3,-3)[/tex]
[tex]B" = (5,-6)[/tex]
[tex]C" =(6,2)[/tex]
Hence, the sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units
Read more about transformation at:
https://brainly.com/question/1448141
How onto add, subtract, multiply, and divide decimals
Answer:
Hope this helps. x
What is the value of cos (150°)?
PLEASE NO WEBSITES!
Thank you
Answer:
Cos (150) = -√3/2
Step-by-step explanation:
You can find this using a calculator. You will get −0.866025403 which is equal to -√3/2
please help me, i dont really understand this
Answer:To convert a mixed fraction to an improper fraction, follow these steps:
Multiply the whole number part by the fraction's denominator.
Add that to the numerator. or this might also help,
Then write the result on top of the denominator. To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have.
Step-by-step explanation:
Hope this help
Hazel bought 3/5 of a kilogram of clay for the students in her pottery class. She then divided the clay evenly into pieces that were 1/5 of a kilogram. Into how many pieces did Hazel divide the clay? Write your answer as a fraction or as a whole or mixed number.
Answer:
3
Step-by-step explanation:
3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?
equation is
[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]
cos teta divide by 1+cos teta equals to 1-tan teta divide by cos teta
Answer:
tan teta =cos teta is the answer
find the volume of this figure:
i really need help... factor by the simplest form 46xy^5
15)
Solve for X
X\42=6
A)
7
B)
252
C)
260
D)
332
Answer:
b)252 is the answer
Step-by-step explanation:
x\42=6
x=6*42
x=252