Answer:
8 cartons
Step-by-step explanation:
1000milliliter = 1 liter
Hence 2 liters of mango juice = 2000 millilitres.
Therefore, no of cartons = 2000/250 = 8 cartons
A water tank is a cube of side 2m the depth of the water in it is 60cm. What is the volume of the water in the tank?
Answer:
8 METERS CUBES I THINK
Step-by-step explanation:
VOLUME IS LENGTH TIMES WIDTH TIMES HEIGHT
2 METERS TIMES 2 METERS TIMES 2 METERS IS 8 METERS
A polygon has vertices w(-4,28), x(8,23), y(-13,16), and z(-4,11). What is the perimeter of wxyz to the nearest tenth of a unit?
The perimeter of the polygon WXZY is equal to 28 + (12 + √53) · √2 units.
How to determine the perimeter of a polygon
The perimeter of a geometric figure is the sum of the side lengths of the figure. In this case, we find the case of a polygon with four sides. Each side length can be found by using vector subtraction and Pythagorean theorem:
Side WX
WX = (8, 23) - (- 4, 28)
WX = (12, - 5)
WX = √[12² + (- 5)²]
WX = 13
Side XZ
XZ = (- 4, 11) - (8, 23)
XZ = (- 12, - 12)
XZ = √[(- 12)² + (- 12)²]
XZ = 12√2
Side ZY
ZY = (- 13, 16) - (- 4, 11)
ZY = (- 9, 5)
ZY = √[(- 9)² + 5²]
ZY = √106
Side YW
YW = (- 4, 28) - (- 13, 16)
YW = (9, 12)
YW = 15
Then, we find the perimeter of the polygon by summing the four side lengths of the polygon:
p = 13 + 12√2 + √106 + 15
p = 28 + (12 + √53) · √2
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a person who wants to get in shape goes to a local gym that advertises 60 training sessions for $1511. find the cost of 118 training sessions
Answer:
$ 2971.63
Step-by-step explanation:
the cost of 60 training sessions is $1511
the cost of 1 training sessions is $1511/60
the cost of 118 training sessions is $ (1511×118)/60 = $2971.63
Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount. Part B: Explain how you would solve this problem by organizing a sample calculation. Explain why organization was important in the thought process
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
what is amount ?aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.
given
You can use a fraction to express the percentage 20%.
This is inferred from the fact that the sign for percentage,% means to divide by 100.
Therefore, it is important to understand that 20% equals 20/100, or 1/5.
As a result, the 20% tip represents one-fifth of the total.
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
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Answer these two questions ASAP please, help is appreciated.
Answer:
B and A
Step-by-step explanation:
Work out the length of x. Give your answer rounded to 3 significant figures. 13.3 mm 5.5 mm The diagram is not drawn accurately. X = 0 mm x
Step-by-step explanation:
Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.
To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.
Perimeter = 13.3 mm + 5.5 mm + X mm
The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.
To find X, we can subtract the sum of the known sides from the perimeter:
X mm = Perimeter - (13.3 mm + 5.5 mm)
Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.
in order to buy a $38 pair of shoes, you have to borrow $16 from your friend. How much money did you start with
A-$22
B$22
C$54
D-$54
Please Help
Answer:
22 dollars
Step-by-step explanation:
38 - 16 = 22
if they cost 38 subtract the amount you borrowed(16) and you get what you started with(22)
Answer:
B 22
Step-by-step explanation:
You'll put x since you don't know how much the person started with then you do plus 16.
x+16=38
Subtract 16 both sides.
x=22
The sum of two numbers is 5 and their difference is 2. which of the following could be the difference of their squares
I will mark whoever solve it correct as Brainlist
Answer:
10
Step-by-step explanation:
Let the first number be x, and the second number be y.
x + y = 5
x - y = 2
Solve for x in first equation.
x + y = 5
x = 5 - y
Put x as 5-y in the second equation, and solve for y.
(5-y) - y = 2
5 - 2y = 2
-2y = -3
y = 3/2
Put y as 3/2 in the first equation and solve for x.
x + y = 5
x + 3/2 = 5
x = 7/2
The difference of their squares would be:
(7/2)² - (3/2)²
49/4 - 9/4
40/4 = 10
What’s the answer to the questions below? Plsss help
According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.
How to identify parallel lines?To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:
ADCFOn the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.
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PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
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Use compatible numbers to determine if 455 + 229 455 + 229 is more than 650 650 . Drag the numbers to the table to show each compatible number. Numbers may be used once or not at all. Is it more than one answer for each box or just the one I already selected
The required compatible number of the given two number are 500 and 200 and sum is 700.
What is Compatible Numbers?In math, compatible numbers are the numbers that are not difficult to add, deduct, duplicate, or gap intellectually. compatible number are close in worth to the real numbers that make assessing the response and figuring issues more straightforward. We can adjust the numbers to the closest ten, hundred, thousand or 10,000 to make them viable numbers. For example, in the event that we need to add 493 and 549, we can make the numbers viable by gathering them together to the closest tens or hundreds. 490 and 550 (adjusted to the closest tens) or 500 and 500 (adjusted to the closest hundreds) are a lot simpler to settle.
According to question:So, the compatible number of 455 is 500 and that of 225 is 200.
Then,
Compatible sum = 500 + 200 = 700.
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32q+4= please help me
Answer:
q = -1/8
Step-by-step explanation:
You're trying to solve for q
32q+4=0
Subtract 4 both sides
32q=-4
Now Divide -4 by 32 (This means you have to simplify)
-4/32 = -1/8 due to the common factor of 4.
q = -1/8
Answer:
4(8q+1)
Step-by-step explanation:
32q+4
4*8q+4*1
4(8q+1)
What value should go in the empty box to complete the calculation for finding the
product of 34.529 x 0.67?
34.529
X 0.67
241703
(1 point)
1) 207,174
2) 207,974
03) 2,071,740
4) 2,079, 740
Answer:
3. 2,071,740
Step-by-step explanation:
To find the product of 34.529 and 0.67, the 7 in the number "0.67" is used in multiplying the whole of "34.529" to get the first set of digit below = 241703.
(Note. When multiplying this way, decimal points are ignored. The decimal point is included at the end of the calculation)
Next is to use the number 6 to multiply 34.529, all through. Which will give us the number that should be in the empty box.
Multiplying 34.529 by 6, we would have: 207,174. 0 would be added after it to make it 2,071,740. This is done in order for the last digit of of the number to call under 6 that we used in multiplying.
241703 is then added to 2,071,740 = 2,313,443
34.529 has 3 decimal places to the right, 0.67 has 2 decimal places to the right, therefore, we would count 5 decimal places to our left and put our decimal point in the figure "2,313,443" = 23.13443
Answer:
B is the correct answer
Kyle is drawing a rectangle on the coordinate plane. Which coordinate pair could be Point M, the missing vertex of the rectangle?
Answer:
Step-by-step explanation:
5,2
What is the probability of landing on red and rolling a number greater than 2?
Answer: 1/4 I think
Step-by-step explanation:
20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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√-14 x √18
Please write with steps
Answer:
\(6i\sqrt{7}\)
Step-by-step explanation:
One can multiply the two radicles by multiplying the values under the radicals, then taking out perfect squares. In essence;
\(\sqrt{-14}{*\sqrt{18}\\\)
\(=\sqrt{(-14)(18)}\)
\(= \sqrt{-252}\)
Rewrite such that is expressed perfect square factors in the number,
\(\sqrt{(-1)(9)(4)(7)}\)
Take out the factors,
\(3 * 2*\sqrt{(-1)(7)}\)
Simplify,
\(6\sqrt{(-1)(7)}\)
Remember the square root of negative one can be signified by the character (\(i\)), therefore, one can take it out from the radical.
\(6i\sqrt{7}\)
ASAP!!! Please help me solve
Answer: j(x) = (x-1)(x+2)
The x-1 part is because of the root x = 1
The root x = -2 leads to the factor x+2
Prove the identity:
sin ((x))-(y)) / cos (x) sin (y) = tan (x) cot (y) - 1
Answer:
Below.
Step-by-step explanation:
sin ((x))-(y)) / cos (x) sin (y)
sin x cos y - cos x sin y
= ----------------------------------
cos x sin y
sin x cos y
= ---------------- - 1
cos x sin y
But tan x = sin x / cos x and cot y = cos y / sin y
So the above = tan x cot y - 1.
2l+2w for l = 5.2 and w = 6.7
Answer:
23.8
Step-by-step explanation:
2(5.2) + 2(6.7) = 23.8
Answer:
23.8 ...............
Step-by-step explanation:
I asked my alexa.
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
Sandro would like to retire at age 60 with an income of $1500 per month from his
retirement savings. If he is to receive these payments until he is 90 years old, what
amount would he need in his retirement savings account at age 60, if the account
earns 4.5% compounded monthly?
The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.
How the present value is computed:The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.
End of withdrawal period = 90 years old
Beginning of withdrawal period = 60 years old
The number of years between 60 and 90 = 30 years
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $-1,500
FV (Future Value) = $0
Results:
Present Value (PV) = $296,041.74
Sum of all periodic payments = $540,000 ($1,500 x 360 months)
Total Interest = $243,958.26
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the circumference of a circle is 16 pi m what’s the area
Answer:
16pi =2pi r
pi are cancelled
r=16/2
r=8m
area of circle =pi r²
22/7×64
area=201.15m²
Step-by-step explanation:
circumference of circle is 2pie radius
area of circle is pi r²
An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
The percent and decimal are between 0 and 1.
The percent and decimal are greater than 1 and less than 100.
The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Answer:
Step-by-step explanation:
d
Please help!! Timed assignment
Arrange the figures in increasing order of their volumes. Use Pi =22/7
Answer:
see the list below
Step-by-step explanation:
did all the formulas for each and I believe the order is from (smallest to biggest)
1. The half sphere or hemisphere (3rd in the pic)
2.The pyramid
3.slanted cone
4.cone
5.slanted cylinder
6.and finally the cylinder
Volume of cylinder II< Volume of cylinder I< Volume of Cone II< Volume of pyramid <Volume of Cone I
What is volume?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Volume of Cone I = 1/3 πr²h= 1/3*22/7*5*5*7
=25 cm³
Volume of cylinder I= πr²h= 22/7*4*4*5
= 251.42 cm³
Volume of hemisphere= 2/3*πr³= 2/3*22/7*3.5*3.5*3.5
= 89.833 cm³
Volume of pyramid = l*w*h= 10*5*6
= 100 cm³
Volume of cylinder II= πr²h= 22/7*6*6*8
= 905.14 cm³
Volume of Cone II= 1/3 πr²h= 1/3*22/7*4.5*4.5*7.5
=159.107 cm³
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If a has to be greater than or equal to 1 and less than 10, what does a equal?
Answer:
i think the answer is 5
Step-by-step explanation:
if it greater than or equal to its 1 or higher but, its not 10 because it has to be less than 10 5 falls right in the middle of greater that or equal to 1 but less than 10
Find the value of the trigonometric function x^2-1/x^+1' where x>1
Answer: I tried to solve it but my device is completely broken!
Step-by-step explanation: To find the value of the expression when
x
=
−
3
substitute
−
3
for each occurrence of
x
in the expression and then calculate the result:
x
2
−
1
x
+
1
becomes:
(
−
3
)
2
−
1
−
3
+
1
⇒
9
−
1
−
2
⇒
8
−
2
⇒
−
4
GIVING OUT BRAINLIST QUICK! I CAN ONLY GIVE BRAINLIST IF 2 PEOPLE ANSWER!
Answer: 7 i think
Step-by-step explanation:
Answer: Octagon & 6.2
Step-by-step explanation:
octagons have 8 sides and 3.1 x 4 = 12.4 divided by 2 = 6.2
Karim has two investments, one in Company A, and another in Company B. Karim purchased 3,000 shares in company A at $2.65 per share. Since purchasing the shares, the price per share increased to $2.95 per share, after which point Karim decided to sell, realizing a profit. At the same time, Karim purchased 2,000 shares in Company B at $1.55 per share. Since purchasing the shares, the share price fell to $1.30 per share, after which Karim decided to sell the shares, suffering a loss. Karim is required to pay tax at a rate of 28% on the combined profit from both investments. Calculate how much tax Karim must pay.
Answer:
A:$2478
B:$728
Total:$3206
Step-by-step explanation:
2.95x3000=8850
1.30x2000=2600
8850x0.28=2478
2600x0.28=728
2478+728=3206
For each table, determine whether the relationship shows a linear function. If
so, write the function.
X
1
y
b) 1
c)
y
y
1
9
O
3.2
1
O
4.2
2
4
5.2
3
8
6.2
4
16
7.2
5
24
2345
6303
-3
246
2
4
6
8
Step-by-step explanation:
7.2
5
24
2345
6303
-3
2467.2
5
24
2345
6303
-3
246
The linear function is given by table B and the equation y = ( 1/2 )x + 3.2
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
Let the x values be x = { 0 , 2 , 4 , 6 , 8 }
Let the y values be y = { 3.2 , 4.2 , 5.2 , 6.2 , 7.2 }
Now , the equation of line is y - y₁ = m ( x - x₁ )
where m is the slope
m = ( 4.2 - 3.2 ) / ( 2 - 0 )
m = 1/2
On simplifying , we get
y - 3.2 = ( 1/2 ) ( x - 0 )
Adding 3.2 on both sides , we get
y = ( 1/2 )x + 3.2
Hence , the linear function is y = ( 1/2 )x + 3.2
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