Answer:
foreign stamps = 299
US stamps = 353
Step-by-step explanation:
Let number of foreign stamps be x.
Given she has 54 more U.S stamps than foreign , US stamps = x +54
Total stamps = US + Foreign
652 = x + 54 + x
652 - 54 = 2x
598 = 2x
x = 299
A closed rectangular box whose dimensions are 8 feet by 5 feet by 3 feet has some water in it. When the box is resting on its smallest face, the water is 5 feet deep. How deep will the water be if the box is resting on its largest face? Explain your reasoning.
Answer:
i, 1.875 ft
ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.
Step-by-step explanation:
i. How deep will the water be if the box is resting on its largest face?
Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.
V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³
This is also the volume of the water when it is resting on its largest face.
Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face
So, h' = V/A'
= 75 ft³/ (8 ft × 5 ft)
= 15/8 ft
= 1.875 ft
ii, Explain your reasoning.
Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.
Sven deposited R3500 into a savings account where interest is compounded annually at 11.2% at the end of two years he withdrew R1800.
calculate the amount of money left in the account after two years
Answer:
Amount left= 4,327.9 - 1,800
Step-by-step explanation:
Giving the following information:
Initial deposit (PV)= $3,500
Interest rate (i)= 11.2%
Number of periods (n)= 2 years
Withdrawal= $1,800
First, we need to calculate the future value of the investment at the end of 2 years:
FV= PV*(1 + i)^n
FV= 3,500*(1.112^2)
FV= $4,327.9
Now, after the withdrawal:
Amount left= 4,327.9 - 1,800
A set of twenty cards is labeled 1 through 20. Anna draws one card randomly. What is the probability that Anna will draw an even number greater than 10?
Answer:
50% chance
Step-by-step explanation:
please please help me!!
A travel agent quotes the flight ticket price
for the employees of a company as follows:
When there are 25 people or less, the
ticket price for each person is $1000.
When there are more than 25 people,
with every additional person, the ticket
price for each person will drop by $20.
The lowest ticket price for any employee
is $700.
The company pays $27000 in total. Find the
number of employees going for the trip.
9514 1404 393
Answer:
30
Step-by-step explanation:
The total price for x employees will be ...
p(x) = {1000x for x ≤ 25; x(1000 -20(x -25)) for 25 < x ≤ 40; 700x for 40 < x}
We want p(x) = 27000.
We can check the value of x for the three different functions to see if it is in the specified domain.
1000x = 27000 ⇒ x = 27 (not in the domain of the first segment)
__
x(1000 -20(x -25)) = 27000
20x(75 -x) = 27000 . . . . . collect terms, factor
(x -37.5)^2 = -1350 +1406.25 . . . . . complete the squre
x = 37.5 ±√56.25 = 37.5 ±7.5 = {30, 45}
x = 30 is in the domain; x = 45 is not
__
700x = 27000
x ≈ 38.57 (not in the domain of the last segment)
__
So, the piecewise cost function will give a total cost of $27000 when the number of employees going for the trip is 30.
guys whats 10x10 pls help me thank you
It's 100 ... ... ... ... ...
If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?
Answer:
[tex]x = 1.5[/tex]
[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]
Answer:
x = 1.5
Step-by-step explanation:
[tex]\frac{9}{36} :\frac{x}{6}[/tex]
Cross multiply.
36 · x = 9 · 6
Simplify.
36x = 54
Divide each side by 36.
36x ÷ 36 = 54 ÷ 36
Simplify.
x = 1.5
35% of flowers sold on a day were roses. If 42 roses were sold, how many total flowers were sold?
Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.
what is unitary method ?In mathematics, the unitary approach entails determining the value of a single unit and then using that value to determine the value of a certain number of units. It is frequently applied to issues concerning rates and proportions as well as issues relating to ratios and proportions. The unitary method, for instance, would result in a cost of $5 for 5 apples if the price of 1 apple is $2. To calculate the overall cost using the unitary method, we would multiply the $2 worth of one apple by the quantity we wish to purchase. Therefore $5 would be spent on 5 apples, or $2 each.
given
Assume that "x" represents the total quantity of flowers sold on that particular day.
Roses made up 35% of the total number of flowers, which means that:
0.35x = 42
By dividing both sides by 0.35, we can determine the value of "x":
x = 120
Hence, 120 flowers were sold in total on that day as the Roses made up 35% of the total number of flowers.
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In a class of 20 students, 12 play table tennis,13 play cricket ball and 3 are not allowed to play either of the two games ...find how many student play
a)both table tennis and cricket ball
b)cricket ball only
c)table tennis only
Answer:
a)5
b)8
c)7
Step-by-step explanation:
Hope this helps
For 11 days straight, Mike drove the same distance every day going to and coming from work. On the 12th day, he drove an extra 7 miles. If Mike drives 91 miles in total in those 12 days, write an expression to find the distance he travels each day going to and from work.
Answer:
A) The algebraic expression
= 12x + 7 = 91
B) He drives 7 miles per day
Step-by-step explanation:
For 11 days straight, Mike drove the same distance every day going to and coming from work.
Step 1
We are told : Mike drives 91 miles in total in those 12 days,
On the 12th day, he drove an extra 7 miles.
Hence:
91 miles - 7 extra miles
= 84 miles
Step 2
The number of miles he drives per day:
84 miles/12
= 7 miles per day
Step 3
The expression we can use to find the distance he travels each day going to and from work is written as:
Let the number of miles he travels be day = x
12x + 7 = 91 miles
12x + 7 = 91
12x = 91 - 7
12x = 84
x = 84/12
x = 7 miles per day
Given: F(x) = 2x 2 + 1, G(x) = 2x - 1, H(x) = x
F(x) + G(x) =
Answer: 2x(x+1)
Step-by-step explanation:
F(x) + G(x) =2x^2+1+2x-1
=2x^2+2x
=2x(x+1)
Answer:
6x
Step-by-step explanation:
i am not quite sure why you have provided H(x), and i am assuming f(x) = 2x * 2 + 1
with that into consideration we can simplify f(x)
f(x) = 2x*2+1
= 4x+1
question -> f(x) + g(x)
= (4x+1) + (2x -1)
1 and -1 can get cancelled and 4x + 2x = 6x
thus the answer is 6x
The difference between a and b is 10. The number a is 4 more than 3 times the number b. Which of the following pairs of equations could be used to find the values of and b? If explanation given properly will give BRAINLIEST!!!
a) b-a=10, a=3b+4
b) a-b=10, b=3a+4
c) a/b=10, a=3b+4
d) a-b=10, a=3b+4
e) b-a=10, 3b=a+4
Answer:
d)
Step-by-step explanation:
a - b = 10
a = 4 + 3b
Find the ratio of the areas of two circles with radii 4 and 12
Answer:
1:9
Step-by-step explanation:
~Refer to the attachment for the solution.
[tex]20\% of gh 200 [/tex]
Answer:
answer
I think it's 40...
[tex]20\% \: \bold{of} \: 200 \\ \\ = \frac{20}{100} \times 200 \\ \\ = \frac{20}{ \cancel{100}} \times \cancel{200} \\ \\ = 20 \times 2 \\ \\ = 40[/tex]
Hope This Helps You ❤️if a ball is a sphere with 10 inches, what is the volume in cube inches
Answer:
Step-by-step explanation:
I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!
The volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,
[tex]V=\frac{4}{3}\pi(10)^3[/tex] so
V = 1333.33π inches cubed
If the diameter is 10 and the radius is 5:
[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is
V = 166.67π inches cubed
select the correct answer from the drop-down menu
find the polynomial
(5) is the solution set of ___
A. X^2-5x + 25=0
B. X^2 + 10x + 25 = 0
C. X^2-10x+25=0
D. X^2+5x+25=0
Which of the following are equations for the line shown below? Check all that
apply.
(3.1)
O A. y = x-2
B. y-1 - (x-3)
O C. y=-x-2
D. Y + 4 = (x+2)
Answer:
y = x - 2. Notice that option A and B are same.
Step-by-step explanation:
Two points on the given line are (3, 1) and (-2, -4).
Slope = (y2 - y1)/(x2 - x1) = (-4 - 1)/(-2 - 3) = 1
Using y - y1 = m(x - x1) :
=> y - 1 = 1(x - 3)
=> y - 1 = x - 3
=> y = x - 2
product of 3 and e in algebric expression
product of 3 and e in algebric function = 3e
Solve for x
|2x+1| + |3x-4| = 5
Answer:
0, 8/5
Step-by-step explanation:
You can use the app photo math you just take a picture of the problem and it gives you the answer and shows the steps:)
2. Liam and Sam shared a chocolate bar Liam ate 3/5
and Sam ate 4/ 10 Who ate more? How much
more?
What is the equation of the line in slope intercept form? Plz ASAP
Answer:
3) y = -2x + 16
Step-by-step explanation:
__________
What additional information is needed to prove that ∆LPM and ∆OPN are congruent by SAS postulate?
A. ∠P ≅ ∠P
B. ∠LPO ≅ ∠MPN
C. ∠LPM ≅ ∠OPN
D. ∠PON ≅ ∠PLM
Answer:
hggh
Step-by-step explanation:bmv,g,vg,cvbbgfghvc
i really need help school end trw and i have 1 question till i am done but i dont know what it is PLEASE HELP FAST
1+1+3
Answer:
5
Step-by-step explanation:
Answer:
1+1+3=5
Step-by-step explanation:
you have three dogs and you get another dog. You now have 4 dogs. You get yet another dog so now you have 5.
A rectangular tank is 20 cm wide and 25 cm long, the volume of tank is 5,250. What is the height of the tank?
Answer:
12
Step-by-step explanation:
michael Jackson
Answer
10.5
Step-by-step explanation:
to find volume is WxLxH. revurse it and divide volume by width and length to find height
HELP ME [QUESTION IN IMAGE AND NOT THAT HARD EITHER]
Answer:
Button #4. The last button. 8p = t.
Step-by-step explanation:
This is because there are 8 pieces of string, and p is equal to the length of one string, so one string times 8 is the total length of all the strings.
You pick a card at random.
2 3 4 5
What is Podd or divisor of 10)?
Answer:
3/4 or 75%
Step-by-step explanation:
Let's 1st find the cards that can be chosen.
3 and 5 are odd and 2 is also a divisor of 10.
These are 3 cards so 3/4 is 75% chance you will get a card that is odd or a divisor of 10.
Find the volume of this sphere.
Use 3 for TT.
V V ~
V = Tr3
[?]cm3
10 cm
helpppp
Answer:
10^3 = 1000
1000 x 3 = 3,000
3,000 x 4/3 = 4,000 cm^3 is your answer.
Step-by-step explanation:
Volume formula of sphere:
4/3 x pi(3.14 or 22/7 OR 3 like they said, depending on what they tell you to use for pi) x R(radius, half of your diameter or given radius)^3(to the power of 3)
4/3 x pi x radius being cubed
4.
Evaluate the expression.
33 + 2 x 20 - 4^3 =
A triangle has side lengths of 9 centimeters and 15 centimeters. The third side has a length of x centimeters. complete the inequality to show all the possible values of x.
Answer:
67.5
Step-by-step explanation:
area of a triangle (1/2 l×b)
1/2 ×9×15× x=135x
divide any side by 2
x=4.5×15=67.5
x=67.5
The value of x is 67.5.
We have given that,
A triangle has side lengths of 9 centimeters and 15 centimeters.
The third side has a length of x centimeters
What is the area of a triangle?The area of a triangle is (1/2 l×b)
l is length and b is a breadth.
Therefore we use the given value in the formula so
1/2 ×9×15× x=135x
divide any side by 2
x=4.5×15=67.5
x=67.5.
Therefore the third side of the triangle is 67.5.
So the inequality is
67.5≤15≤9.
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Elite parking charges cost $15 for the first hour and $7 for each additional hour of parking. Write and equation to represent the cost (C) for parking (t) hours.
Answer: C(t) = 8 + 7t
Step-by-step explanation: 15 for first hour. 15 is constant and every hour after that is counted (t-1)·7, so 15 + 7(t-1) = 15 +7t - 7 = 8 + 7 t .
So when t = 1 C(1) = 15
Elite parking charges cost $15 for the first hour and then $7 for each additional hour then the equation for this will be C = $15 + $7(t).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the statement mentioned in the question,
Elite parking charges $15 for the first hour which is a constant value.
An additional charge is $7 for every extra hour.
So, the equation according to this is,
C = $15 + $7(t).
Here, C is the total cost and t is the number of hours of car parking, if the number of hours will increase the cost will also increase.
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