Answer:
498,173.26.
Step-by-step explanation:
The place value of 9 in the number 3, 29,513 = 9000
In the required number,
Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000
The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2
The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06
Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.
A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge
Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio
1 less than the quotient of a number n and 6
Answer:
(n/6) - 1
Step-by-step explanation:
Quotient means to divide so the Expression will be (n/6)- 1
What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.
Answer:
Answer given in the photo
Caleb is a junior at JA Enterprise High School and plays rugby on the school team. He has a part-time job at a local fast-food restaurant and works 20 hours a week for $7.60 an hour. His gross monthly income is $608.00, and his take-home pay is $501.64. In his spare time, Caleb walks a dog belonging to an elderly neighbor. He earns an additional $40.00 per month for that chore.
Caleb's parents gave him a used car, and he pays his own insurance, which is $110 per month. His gas and maintenance expenses usually run $65 a month. He also has a cell phone and pays his parents $30 each month for his share of the family plan.
In three weeks, Caleb plans to take a day trip to Six Flags amusement park. His admission will cost $50, and he plans to have $35 for meals and another $50 for incidentals.
Caleb needs to start saving for Christmas, which is in four months, and he usually spends around $200 on gifts for his family and friends. He also would like to buy a new $80 e-reader this month.
Though Caleb's parents will help pay for his college tuition, he knows that in two years, he will have to pay for his books and earn his own spending money. He is estimating that each semester, he will spend $300 on books and $600 on personal needs.
How much are Caleb's regular monthly expenses?
Answer:
Caleb's net monthly income would be $541.64
Step-by-step explanation:
His monthly take home pay from restaurant is $501.64
Since he earns additional $40 per month for dog walk,
Therefore, his monthly pay would be ;
= $501.64 + $40
Caleb's net monthly income =$541.64
Caleb's monthy regular expenses including car insurance and books is
$355.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
From the given information, The total net earnings of Caleb is,
= $(501.64 + 40).
= $541.64.
Now, The expenses for Car insurance, Gas, and cell phone recharge is,
= $(110 + 65 + 30).
= $205.
Again, For books and personal needs, he have to spend $(300 + 600).
= $900.
Monthly it is,
= 900/6.
= $150.
Therefore, Caleb's regular expenses is,
= $(205 + 150).
= $355.
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if tanΘ =√3 determine all the possible values of Θ such that -2π≤0≤2π
Answer:
Sure! Can you tell me the digits of pi?
Step-by-step explanation:
6x+3<7-2x
I’m not sure if I’m doing it right so an explanation would be nice
Answer:
x<0.5
Step-by-step explanation:
this is just like simplifiying equations if you've done that before
first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)
so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.
Then you subtract 3 from both sides to get 8x<4
after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5
just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number
Help me someone please I’m lost and confused??
Answer: go to Cymath
Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers
will mark brainlyest 10/19
Answer:
answer is 5
Step-by-step explanation:
Can You Please Help? I swear I will mark brainliest
Answer:
The answer is 2 inches
Step-by-step explanation:
U just have to divid 20 by 10 and you get ur answer
Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in years, is equal to 50." Javier writes the equation (10 + two-thirds) a = 50, where a is the tree's age in years. His equation is not correct. What error did he make?
Answer:
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Step-by-step explanation:
The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.
Correct equation
Sum = addition (+)
two-thirds = 2/3
The tree's age = a
10 + 2/3a = 50
2/3a = 50 - 10
2/3a = 40
a = 40 ÷ 2/3
= 40 × 3/2
= 60
a = 60 years
Javier writes the equation
(10 + two-thirds) a = 50
(10 + 2/3)a = 50
(30+2/3)a = 50
32/3a = 50
a = 50 ÷ 32/3
= 50 × 3/32
= 150/32
a = 150/32
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Answer:
His error is adding 10 and 2/3 before multiplying by A...
…So option A is your answer.Hope it helps!please help i'm stuck :,)
Jacob and Sophia are in a running club and record how long it takes them to run a 5-kilometer race. Jacob's time was 4 minutes under the average time of the running club. The difference between Jacob's time and Sophia's time is 10 minutes. The possible times of Sophia's run are ____ minutes below the average or ____ minutes above the average.
Answer:
14 minutes below or 6 minutes above
Step-by-step explanation:
Let's say Sophia's time was 10 minutes WORSE
4 minutes below average- 10 minutes= 14 minutes below average
Let's say Sophia's time was ten minutes BETTER
4 minutes below average + 10 minutes= 6 minutes above average.
Hope this helps!
14 minutes below the average
6 minutes above the average
=====================================================
Let A = average running time
Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.
Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.
We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.
-------------
Let's plug in J = A-4 and solve for S
|S-J| = 10
|S - ( J )| = 10
|S - (A-4)|
|S-A+4| = 10
S-A+4 = 10 or S-A+4 = -10
S-A = 10-4 or S-A = -10-4
S-A = 6 or S-A = -14
S = A+6 or S = A-14
The equation S = A+6 shows Sophia is 6 minutes above the average
The equation S = A-14 shows Sophia is 14 minutes below the average
-------------
Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.
If A = 20, then Jacob's time is J = A-4 = 20-4 = 16
If the average running time is 20 minutes, then Jacob ran for 16 minutes.
If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)
If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)
This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.
how many snakeman and red crows were sold altogether
Answer:
you did not out the full equation so I am not able to solve your problem.
If you put the full problem I will try to solve and walk you through it.
7s+5c=181.40
9s+1c=132.80
Answer:
s=12.7
c=18.5
hope this helps :)
Alexander invested $240 in an account paying an interest rate of 2.3% compounded
annually. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 9 years?
Answer:
295
Step-by-step explanation:
After 9 years, Alexander will have $295 in his bank account.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For Alexander, S = sum of money after the total period of investment.
P = Principle = $240, r = rate of interest = 2.3% compounded annually, n = time period = 9 years.
Now, S = $240(1 + 2.3/100)⁹= $240(1 + 0.023)⁹ = $240(1.023)⁹ = $294.5
≈ $295
Hence, after 9 years, Alexander will have $295 in his bank account.
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Ellie ordered 3/4 of a pound of cheese from the deli. The deli has cheese slices that weigh 0.05 pounds each. Enter the number of cheese slices Ellie will receive.
Question Details
An atom of hydrogen has a mass of about 1.66 x 10^-25
grams. An atom of oxygen has a mass of about 2.656 x
10^-23 grams. How many times the mass of the
hydrogen atom is the mass of the oxygen atom? Give
your answer in scientific notation.
HELP
Answer:
Atomic mass unit-
It is represented by ‘amu’. It is equal to the quantity 1/12th mass of an atom of C-12.
Actual mass of one atom of C-12 = 1.9924 x 10-23 gm. = 1.9924 x 10-26 Kg.
1 amu = 1.9924 x 10 -23/12 = 1.66 x 10 -24 gm. = 1.66 x 10 -27 Kg.
Atomic mass of an element = mass of one atom of the element / 1 amu
Actual mass of an element = atomic mass of an element in amu x 1.66 x 10 -24 gm.
For ex-
Actual mass of hydrogen atom = 1.008 x 1.66 x 10 -24 gm. = 1.6736 x 10-24 gm.
Actual mass of oxygen atom = 16.00 x 1.66 x 10 -24 gm. = 2.656 x 10-23 gm.
Average Atomic weight (Mass)-
“The Average Atomic Masses of many elements are determined by multiplying the atomic mass of each isotope by its fractional abundance and adding these values and then dividing it by 100.”
Ex.- Naturally occurring carbon contains three isotopes – C12 (98.892 % abundance), C13 (1.108 % abundance), C14 (2 x 10-10 % abundance).The relative atomic masses of these isotopes are 12.000, 13.00335 and 14.00317 amu respectively.
Average atomic mass = % of I isotope x its atomic mass + % of II isotope x its atomic mass +% of III isotope x its atomic mass/100
= 12 x 98.892 + 13.00335 x 1.108 + 14.00317 x 2 x10-10 /100
Average atomic mass= 12.011 amu
Molar volume –
Molar volume of a substance is volume occupied by 1 mole of that substance .
Molar volume of solid or liquid = molar mass / density
Molar volume of ideal gas at 00C or 273 K and 1 atmosphere pressure is 22.4 litre.
Gram atomic mass(weight) or gram atom –
“Gram atomic mass(weight) of an element is the mass of Avogadro number ( 6.023 x 1023 ) of atoms of that elements in grams.”
Ex –
mass of 1 atom of oxygen = 16 amu = 16 x 1.66 x 10-24 gm
Mass of 6.023 x 1023 atoms of oxygen= 16 x 6.023 x 1023 x 1.66 x 10-24 = 16 gm.
Hence, Gram atomic weight of oxygen = 16 gm.
No. of gram atoms = mass of element in gm / atomic mass of element in gm.
You receive a gift card for an
online game. Every time you play,
you spend the same amount of
money. After playing 2 games,
the card balance is $17.70. After
5 games, the balance is $14.25.
Determine the original value of the
card. Explain.
if medain of 10, 20, x+5,x+10,50,60 is 35 then find x
Answer:
X = 27
Step-by-step explanation:
10, 20, 32, 37, 50, 60
First things first, take off 10, 20, 50, and 60.
Now, you remain with 32 and 37. Now from here it is simple.
Average of 32 and 37 = 34.83
Round 34.83 to 35
32 averaging 37 (Rounding Terms) ≈ 35
So X is 27
pair that describes <2 <3
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
which angle pairs are congruent? Select all that apply
Answer:
Step-by-step explanation:
The first and last one
What's the answer ?
A. B. C. Or D?
Answer:
D.) y=-x-2
Step-by-step explanation:
Answer:
D.) y=-x-2
Step-by-step explanation:
Trust me I just know
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Answer:
whats the question
Step-by-step explanation:
whats the question
Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
Took the test
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
Reflection across the x-axis
Step-by-step explanation:
The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answer: 50%
Step-by-step explanation: math
help!! will mark brainly
Instructions: Evaluate the following expression and enter the final simplified answer in the box provided.
36÷−4=
Answer:
the answer is 9 so yeah.....
ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?
Answer:
15
Step-by-step explanation:
Can someone please help me with this question? It's so tricky
Answer:
math is tricky but itsall in your head jk you got this
Step-by-step explanation:
Answer:
C. 6 1/2
Step-by-step explanation:
your formula: V=lwh
(turn your fractions into improper numbers)
13/6*6/5*5/2= 13/2= 6 1/2
equivalent fraction using the lcd 7/10 and 5/6 NEED ANSWE LIKE NOW PLZZZ HELP WILL MARK BRAINLIEST
Answer:
2 i think. :D
Step-by-step explanation: