Answer:
Step-by-step explanation:
Half life is the time taken by a radioactive substance to reduce of half of its original size
If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years
if we are given N0 = 1000grams
The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g
Hence 500 grams of radium will be left after 600years
A ticket to see your favorite baseball team costs $30.08. That price decreases by $0.42 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 27 games. What is the price of a ticket after the team loses 27 games?
Given :
A ticket to see your favorite baseball team costs $30.08.
That price decreases by $0.42 for every game lost during the regular season.
To Find :
What equation could you use to find the cost C of a ticket after L losses.
Solution :
Let, n is number of match loses and P is the price of ticket.
So, equation is given by :
P = 30.08 - (0.42)n .......1)
Putting n = 27 in above equation,we get :
P = 30.08 - ( 0.42 )( 27 )
P = $18.74
Therefore, the price of a ticket after the team loses 27 games is $18.74 .
Hence, this is the required solution.
3x-5=x+1
Helpppppppppppp
Answer:
your answer is x= 3
Hope this helps!
A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)
Answer:
117 yd/1 x 3 ft/1 yd = 351 ft
Step-by-step explanation:
[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]
A runner sprinted for 351 feet.
Given that, a runner sprinted for 117 yards (yd).
How to convert yards to feet?To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.
Here, multiply the ratio 117/1 by 3/1.
That is, 117 × 3 =351 ft
Therefore, a runner sprinted for 351 feet.
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2 ones and 96 thousandths as a decimal number
Answer:
2.096
Step-by-step explanation:
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Answer: $249,300
Step-by-step explanation:
The exact formula would be if I think this is right
PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity
= 1400(1-(1+.054/12)^-360)/(.054/12)
= $249,318.47
which you can round off to, say, $249,300 <------
note:
counterchechecked with a financial calculator
Answer:
239,600
Step-by-step explanation:
if i have a 74.23% in math class and i get a 0 on a Summative Assignment, what is my new grade?
Y'all are smart, please help
Which is the simplest form of this algebraic expression?
-(6x + 2y) + 4(2x - y)
Answer:
2x-6
Step-by-step explanation:
The first step is to distribute
The second step is to combine like terms and since its an expression you will not have a solution
Amalie has been saving money buy an electric guitar. A local store has just
marked down the price of its guitars by 30%. Each guitar also comes with a
mail-in rebate for $5.
If the guitar used to cost $210, what will be Amalie's final price after
the markdown and rebate?
Complete each step to solve the problem and answer the question.
Answer:
80 percent
Step-by-step explanation:
Idk how to do this soooo helppp
Answer:
basically u do the formulas and plug them in.
Step-by-step explanation:
MULTIPLE CHOICE Determine which statement follows
logically from statements (1) and (2).
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
angles measures 60.
A If a triangle is not equilateral, then it cannot have congruent angles.
B A figure with three congruent sides is always an equilateral triangle.
C If a triangle is not equilateral, then none of the angles equals 60.
D If a triangle is equilateral, then each of its angles measures 60.
If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.
What is an equilateral triangle?An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.
The given statements are
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
Here, if a triangle is equilateral, then each of its angles measures 60°.
Therefore, option D is the correct answer.
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while on vacation in washington Dc, the cab ride for the dulles airport to the hotel is 15 miles. the
While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.
we want to factor the following expression 3x^2-16y^5 which pattern can be used to factor the expression U and V are either constant integers or single variable expressions
Answer: we cant use any patterns
Step-by-step explanation:
Some friends went to dinner. They left a 15% tip. If their meal cost was $28.00, what was the
amount of tip they left?
Answer:
$4.20
Step-by-step explanation:
0.15 x $28.00=$4.20.
Marissa sold 32 boxes of cookies for $4.35 each. She spent approximately 24.5% of the money she earned on new shoes and used the rest to buy more boxes of cookies. How much did Marissa's new shoes cost? (plz help)
12. What is a pronoun?
Answer:
Definition. A pronoun (I, me, he, she, herself, you, it, that, they, each, few, many, who, whoever, whose, someone, everybody, etc.) is a word that takes the place of a noun. In the sentence Joe saw Jill, and he waved at her, the pronouns he and her take the place of Joe and Jill, respectively.
An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.
Step-by-step explanation:
The equation is given by :
63.25=800r+3.50
Here,
63.25 is the electric company charges
3.5 is an administrative fee
800 is charge per kilowatt hours
r is rate per kilowatt hour
In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.
We can solve it as follows :
63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)
59.75=800r
[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]
Find the area under the standard normal distribution curve between z=o and z=1.47
Answer:
hheikxkhyujherik
Step-by-step explanation:
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The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
The area under the standard normal distribution curve between z=o and z=1.47 can be found as,
Area = (Z=1.47) - (Z=0)
As per the z-table the values of z are,
Z = 1.47 = 0.9292
z = 0 = 0.5
Area = 0.9292 - 0.5
Area = 0.4292 = 42.92%
Thus, The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.
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A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
Which equation is the inverse of y = 16x2 + 1?
O y=+T6
x-1
O y =
16
+
Oy AVTO
INX-1
Оy=
Step-by-step explanation:
[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]
The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the inverse of the equation y = 16x² + 1.
To find inverse we need to replace y with x and x with y in the original equation to obtain:
x = 16y² + 1
Now solve for y in terms of x by rearranging the terms
x - 1 = 16y²
Divide both sides by 16
y² = (x - 1)/16
Take square root on both sides.
y = ±√[(x - 1)/16]
Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:
y = ±√[(x - 1)/16]
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Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.
Answer:
For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms
Step-by-step explanation:
Here, we want to select which of the options must be present in order for factoring by grouping to apply.
The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms
What this mean is that we must have an equal ratio two times
This practically plays out each time we are to factorize quadratic expressions
For example, in the case of
x^2 -12x + 20
This can be written as;
x^2 - 10x - 2x + 20
which can then be written as x(x-10) -2(x -10)
= (x-2)(x-10)
The first two terms have a ratio of ;
x^2/-10x while the last two terms have a ratio -2x/20
Thus, we have -x/10 and -x/10
We can see here that the ratios of both sets are equivalent
Answer:
The ratio of the first two terms must be equivalent to the ratio of the last two terms
Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours
17x = 32
x = 1.882
23x = 23 x 1.882 = 43.286 = 43 balls
What is a constraint in math? For what situations would they be useful?
Answer:
Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!
Step-by-step explanation:
Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation
A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?
Answer:
23
Step-by-step explanation:
Riley is training to run in a 5-kilometer road race. She would like to
reduce her race time by 15 seconds each month that she trains.
The race is in 3 months. What is the total change in time that Riley
hopes to achieve?
1. What integer represents the change in race time Riley wants to
achieve each month?
2. What integer represents the number of months she will train?
3. Write a multiplication expression that can be used to find the total
change in time.
4. Complete the number line to find the product.
-15
--50-45-40-35-30-25-20-15 -10 -5
0
5. What is the total change in race time that Riley hopes to achieve?
Explain what this change represents in the situation.
Answer:
1. -15
2. 3
3. -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image.
5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.
Step-by-step explanation:
Given that it is a 5 kilometre race.
Time to be reduced each month = 15 seconds
Total number of months left in the race = 3
1. Riley wants to achieve each month a decrease of 15 seconds.
Integer representing the change = -15
2. Change in time i.e. 3 months is represented by integer 3.
3. There are a total of 3 months and there is a decrease of 15 every month.
so, multiplication expression is: -15 [tex]\times[/tex] 3
4. Kindly refer to the attached image for the number line representation of the answer.
The arrow is from 0 to -45.
5. Total change in time is -45.
This change represents that achieving the goal will reduced the time by 45 seconds.
How is -9 + (-4) the same as -9 + 4?
-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.
Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?
please help me with this wuiz
Answer: Distribute the 10
Step-by-step explanation: PEMDAS (p is parentheses)
10x^2-13x-3 how to factor
27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?
Answer:
24 and 72
Step-by-step explanation:
just multiple them both by 6
Which equation is not a linear function?
y = x2
y = x + 2
y = 2x
y = x - 2
tia has 53 balloons equally among 4 kids how many balloons will be left over
Answer:
There will be 1 balloon left over.
Step-by-step explanation:
Each kid will be able to get 13 balloons, and 4 times 13 is 52, so 1 balloon will be left.
Answer:
1Step-by-step explanation:
Because 4 times 13 = 52
4 times 13.25 = 53
Each kid will get 13, but
in return, you will get 1 of your balloon's left.
Hope this helps! <3