Answer:
b
Step-by-step explanation:
Joshua had $9.75 left on the game card (option 3).
Joshua's expenses on the game card can be calculated as follows:
Cost of playing three basketball hoop games = 3 games * $2.25/game
Cost of playing three basketball hoop games = $6.75
Cost of playing two rounds of air hockey = 2 rounds * $1.75/round
Cost of playing two rounds of air hockey = $3.50
Total expenses = $6.75 + $3.50
Total expenses = $10.25
Joshua originally had $20 on the game card, and he spent $10.25. To find out how much he had left, subtract his expenses from the original amount:
Amount left = $20 - $10.25
Amount left = $9.75
So, Joshua had $9.75 left on the game card.
The correct answer is 3.) $9.75.
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A large juice jug holds the equivalent of 10 drinking cups: 4 jugs hold 189 ounces more than 13 drinking cups. How many ounces does a cup hold? Find the given, unknown, known, and solve
The one cup holds 7 ounces of juice.
According to the statement
We have to find that the How many ounces does a cup hold.
So, For this purpose, we know that the
A quantity is a property of some object or collection of objects that is measurable.
From the given information:
A large juice jug holds the equivalent of 10 drinking cups: 4 jugs hold 189 ounces more than 13 drinking cups.
Let the amount held by a cup be y ounces.
So the large jug holds 10y ounces.
4 jugs hold 189 ounces more than 13 cups
4*10y=189+13y
40y-13y=189
27y=189
y=7
A cup holds 7 ounces.
So, The one cup holds 7 ounces of juice.
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For each of the right triangles, determine the measure of the missing side. Leave the measures in
exact form if irrational.
(if u can please show the work so i can get a better understanding)
Using the Pythagorean theorem, the missing sides are:
1. 5
2. 13
3. √15
4. 3
How to Apply the Pythagorean Theorem?The Pythagorean theorem is given as: c² = a² + b², where c is the longest side and a and b are the other two legs.
1. Missing side = √(3² + 4²) [Pythagorean theorem]
Missing side = 5
2. Missing side = √(12² + 5²) [Pythagorean theorem]
Missing side = 13
3. Missing side = √(4² - 1²) [Pythagorean theorem]
Missing side = √15
4. Missing side = √((√10)² - 1²) [Pythagorean theorem]
Missing side = √(10 - 1) = √9
Missing side = 3
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Question:
Given the demand equation p=190/q+10 where 10<0<85, for what value of q is | n | a maximum? For what value is it minimum?
The maximum and minimum value of η at q = 10 and q = 85 respectively.
The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.
η is the elasticity of demand.
Then, the elasticity of demand is given as:
η = ( dq/ dp) × ( p / q )
Now, we have p = 190/ (q + 10)
Therefore,
p ( q + 10 ) = 190
pq + 10p = 190
q = ( 190 - 10p ) / p
Now,
dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )
dq / dp = ( -190/ p² )
Substituting these values in the elasticity demand,
η = ( dq/ dp) × ( p / q )
η = ( -190/ p² ) × ( p / q )
η = ( -190/ pq )
η = ( -190/ [190 / (q + 10 ) ]q )
η = [ - ( q + 10 ) / q ]
| η | = | - ( q + 10 ) / q |
η = ( q + 10 ) / q = 1 + 10/q
The critical point is when | η' | = 0.
η' = ( d / dq ) ( 1 + 10/q )
η' = - 10/ q²
- 10/ q² = 0
Hence, - 10/ q² is not defined.
Therefore, the function is not defined at q = 0.
Therefore, q = 0 is not a solution.
We have 10 ≤ q ≤ 85
The value of functions at the endpoint,
At q = 10,
η = ( 1 + 10/q )
η = ( 1 + 10/10 )
η = 1 + 1 = 2
At q = 85,
η = ( 1 + 10/q )
η = ( 1 + 10/85 )
η = 1.11764
Therefore, the absolute value of the elasticity of demand is maximum at q = 10.
The absolute value of the elasticity of demand is minimum at q = 85.
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14. Explain how you can use multiplication to
find the quotient. Then evaluate the
expression.3/5 divided 3/15
Answer:
You can flip the second fraction and multiply the fractions so 3/5 * 15/3 = 3
Step-by-step explanation:
Side KN of figure KLMN is parallel to side LM. Figure KLMN is rotated 90 degress clockwise about Point P to produce Figure RSTU. Based on this information, select all statement that are true.
The figure KLMN is being rotated by 90°, which is a rigid transformation, the true statements are therefore;
(D) Figure RSTU is congruent to figure KLMN
(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]
How can the similarities between the two figures following the rotation be found?The given parameters are;
In KLMN, KN||LM
The transformation applied to figure KLMN = A 90° clockwise rotation about point P.
The image of KLMN following the rotation transformation is Figure RSTU.
Please find attached a drawing of the possible diagram in the question obtained from a similar question online.
The options from the question are;
(A) [tex] \overline{ST}[/tex] is parallel to [tex] \overline{RU}[/tex]
(B) [tex] \angle R[/tex] is the same measure as [tex] \angle N[/tex]
(C) [tex] \overline{RS} [/tex] is the same length as \overline{MN}
(D) Figure RSTU is congruent to figure KLMN
(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]
A rotation transformation is a rigid transformation, therefore;
The distances between any two points on the pre–image is the same as the distance between corresponding points on the image, which gives;
Figure KLMN [tex] is congruent to [/tex] Figure RSTU
Figure KLMN [tex] \cong [/tex] Figure RSTU
According to the postulate, Corresponding Angles of Congruent Figures are Congruent, we have;
[tex] \angle T \cong \angle M[/tex]
Which gives;
[tex] \angle T[/tex] = [tex] \angle M[/tex]
[tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]
The correct options are therefore;
(D) Figure RSTU is congruent to figure KLMN
(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]
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I need help with number 5
40 divided by 20? I’m really confused I did the math and got 21 but the calculator say 2.
The calculated division of the numbers 40 divided by 20 is 2
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
40 divided by 20
When represented as an equation, we have
40 divided by 20 = 40/20
Divide 40 by 20
So, we have the following result
40 divided by 20 = 2
Using the above as a guide, we have the following:
the result is 2
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your hourly wage of $15 differs from the average by less than or equal to $5
The mathematical expression of the statement is x - 15 <= 5
How to determine the mathematical expression?The statement is given as:
Hourly wage of $15 differs from the average by less than or equal to $5
Let the average hourly wage be x
So, we have:
Hourly wage of $15 differs from the average = x - 15
less than or equal to $5 => <=5
So, the expression is
x - 15 <= 5
Hence, the mathematical expression of the statement is x - 15 <= 5
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if a number is divided by an d minused from an another number
This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.
Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
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write the slope-intercept form of the equation for each line
Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed.
The number of weeks that it takes to empty the lake is; 350/11 weeks
How to solve fraction problems?We are told that Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time.
Let w = number of weeks required to empty the lake
let the completed job = 1 (an empty lake)
Thus;
w/14 - w/25 = 1
Multiply through by 350 to get;
25w - 14w = 350
11w = 350
w = 350/11 weeks
Thus, the number of weeks that it takes to empty the lake is; 350/11 weeks
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Can someone solve just the c problem
Applying the distributive property, the solution of x for item c is given as follows:
x = (3a - 8 - b)/(a - b).
What is the distributive property?The distributive property is when the outside term multiplies each of the inside terms of an expression.
For example, in this problem:
a(x - 3) = ax - 3a.b(x - 1) = bx - b.Hence the solution for x of the expression is found as follows:
a(x - 3) + 8 = b(x - 1).
ax - 3a + 8 = bx - b
ax - bx = 3a - 8 - b
x(a - b) = 3a - 8 - b
x = (3a - 8 - b)/(a - b).
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What number is under the fraction bar
Answer:
Denominator
Step-by-step explanation:
The Denominator is under the fraction bar. The numerator is above the bar
Answer:
Denominator
Step-by-step explanation:
Denominator: The number below the fraction bar in a fraction; it tells the total number of equal parts.
I hope this image helps.
The tank for a car holds 20 gallons . The gasoline gauge shows the tank is 2/3 full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to lowest terms.
The amount of gas in the tank is 13 1/3 gallons
How to calculate the amount of gas in the tank ?The tank of the car holds 20 gallons of gas
The gasoline gauge shows 2/3 full
The amount of gas left in the tank can be calculated as follows
= 2/3 × 20
= 40/3
= 13 1/3
Hence there are 13 1/3 gallons of fuel left in the tank
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Please help…………………..
The regular pentagon shown is rotated clockwise about center point P.
●P
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
are you tempted to calculate the internal angles ?
that is, I guess, the trap set by your teacher here, and it would be the wrong approach.
nevertheless, quickly just as a reminder :
the sum of all internal angles in a polygon is
(n - 2)×180°
n being the number of sides.
in our case that is
(5 - 2)×180 = 3×180 = 540°
so, each internal angle is 540/5 = 108°.
but we are not turning at an edge or vertex. no, we are turning the pentagon around is central point.
we are running each vertex along a circle arc. the center of that circle being P.
after every 1/5 of the circle arc there is a vertex of the pentagon.
and whenever we rotate one vertex on top of the next one, we carry the pentagon visually onto itself.
so, instead of a full circle rotation we need only 1/5 of that :
360 / 5 = 72°
and with every additional 1/5 of the circle arc (or 72°) we get it again.
that means at
72°
144°
216°
288°
360°
the pentagon carries onto itself.
therefore, A, D and E are correct.
help me please FIJDJSHEHE
Answer: 0
Step-by-step explanation:
because -2+-1 is -3. then -3+0 is just -3. lastly -3+1 = -2 and -2 + 2 = 0
Bob mows lawns for 5 weeks during summer break. He mows 2 lawns every day. By the end of 5 weeks, how many lawns has Bob mowed?
Answer: 70
Step-by-step explanation:
7 days a week x 2 lawns = 14
14 lawns x 5 weeks = 70 lawns
Answer:
70 lawns
Step-by-step explanation:
If Bob mows lawns every day for 5 weeks this is how the equation would work:
2 * 7 = 14
14 * 5 = 70
I got the 7 because there's seven days per week.
If 2log(x-y)=log x+log y,prove that 2 log(x+y)=log 5+log x+log
Let us understand the properties of Logarithms. In mathematics Logarithms are the inverse of exponential function. In the simplest case, the logarithm counts the number of times same factor in present in a repeated multiplication.
Logarithm of base 10 is also known as common logarithm.Logarithm of base e is called natural logarithm also written as( [tex]ln[/tex])A logarithm of a number 'x' to a base 'y' is defined as:
[tex]log_y^x=z (y > 0)[/tex]
which represents [tex]y^{z} =x[/tex]
According to the properties of Logarithm :
Product Law: [tex]log (a)+log(b)=log(ab)[/tex]Quotient Law: [tex]log (a)-log(b)=log(\frac{a}{b} )[/tex]Power Law: [tex]alog (x)=log(x)^{a}[/tex]Now let us solve the given problem:
[tex]2 log (x-y)=log x+ log y\\or,log(x-y)^2=log(xy)\\or,log(x^2+2xy+y^2)=log(xy)[/tex]
[tex]or,x^{2} +2xy+y^{2}=xy\\[/tex] ( taking anti-logarithms on both sides)
[tex]or,x^{2}+y^{2}=xy+2xy[/tex]
Now let us use the above equation to solve
Left Hand Side:
[tex]2 log(x+y)\\=log(x+y)^2\\=log(x^{2} +2xy+y^{2} )\\=log(x^2+y^2+2xy)\\=log(xy+2xy+2xy)\\=log(5xy)\\=log(5)+log(x)+log(y)[/tex]
=Right Hand side
Hence the statement is proved by using the properties of logarithm.
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For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation.
For the linear function y = 0.5x. three ordered pairs are given as follows:
x = 0, y = 0.x = 2, y = 1.x = -2, y = -1.Using points (-2,-1) and (2,1), the graph of the function is given at the end of the problem.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the function is:
y = 0.5x.
Hence three pairs of points are given as follows, replacing the value of x in the equation to find y.
x = 0, y = 0.x = 2, y = 1.x = -2, y = -1.The graph of the function is given at the end of the answer.
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Solve for n.
n = 3
8 x n = 32
nx 8 = 32
n = 4
32+8= n
32+ n = 8
n = 5
n = 6
Answer:
n = 4
Step-by-step explanation:
8 * n = 32
Solve for n
Divide each side by 8
8*n/8 = 32/8
n = 4
I WILL GIVE BRAINLYIST Which number is prime? Choose each correct answer. 41 41 42 42 43 43 44 44 45 45 46 46 47. THIS IS MULTIPLE ANSWER.
Answer:
It is 41, 43, 47! :D
Step-by-step explanation:
Enter your answer as a proper fraction, or mixed number.
Answer:
3/14
Step-by-step explanation:
Answer:
3/14
Step-by-step explanation:
Please help am in class need soon
Find the perimeter of triangle ABC. Found your answer to two decimal places.
Perimeter ABC=
The Perimeter of a triangle ΔABC is 27.68
Given ABC be triangle having vertices A(-2, -1), B(4, 3), C(-5, 7)
We need to find the perimeter of a triangle as
Perimeter of a triangle ΔABC = AB + BC +CA
Now we need to find distances as
D = √ (x₂ - x₁)² + ( y₂ - y₁ )²
AB = √ (4 - (-2))² + ( 3 - (-1) )²
= √ ( 4 + 2 )² + ( 3+1 )²
= √ (6)² + (4)²
= √ 36 + 16
= √ 52
= 7.21
BC = √ ((-5) - (4))² + ( 7 - (3) )²
= √ (-5 -4 )² + ( 7-3 )²
= √ (-9)² + (4)²
= √ 81 + 16
= √ 97
= 9.84
AC = √ ((-5) - (-2))² + ( 7 - (-1) )²
= √ (-5 -2 )² + ( 7+1)²
= √ (-7)² + (8)²
= √ 49 + 64
= √ 113
= 10.63
Perimeter of a triangle ΔABC = AB + BC +CA
= 7.21 + 9.84 + 10.63
= 27.68
Therefore, the Perimeter of the given triangle ΔABC = 27.68
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x=b/4 = c solve for x
To solve for x, the given equation will be transformed as x = c - b/4
What is the equation?
A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions in order to express their equivalence. The meanings of the (one or more) word equation and its cognates in various(different) languages can vary slightly. For instance, an equation in French is described as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign. Finding the values of the variables that result in equality is the first step in solving a variable equation. The variables for which the equation must be solved are known as unknowns, and the unknown values that fulfill the equality are known as the equation's outcomes. Individual equations and conditional equations are the two types of equations.Given that,
x-b/4 = c
To solve for x, the given equation will be transformed as-
x = c - b/4
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A movie company spent $12,000,000 making a feature film. If tickets to see the movie cost $8.00 each, determine the number of tickets that must be sold in order for the company to break even
Answer: They will need to sell 1,500,000 to break even.
12,000,000 / 8 is 1,500,000
HELP I DONT UNDERSTAND MY MATH HOMEWORK AND I HAVE 3 PAGES OF IT
PLEASE HELP ME
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
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. The sides of a rectangle are (x+1) and (2x +5). If the perimeter is 36m, Find the value of x
A bowl weighs 11/40 pound.
a. Express this weight as a decimal.
b. Explain how you can find the decimal by thinking of the denominator as a 4 and using mental math.
The weight as a decimal will be 0.275.
The way to fins the decimal using mental maths is to believe that it's 1/4.
How to compute the value?It should be noted that the information given is that we should convert 11/40 t decimal.
This simply means to divide and the answer is 0.275.
Also, the way to find the decimal using mental maths is to believe that it's 1/4.
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