Dan is planning an event for which the total cost cannot exceed $400. Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour. Which inequality correctly shows Dan's spending in terms of h, the number of hours that the clown can be at the party? *
Answers
Answer:
using above inequality equation, we can find the total hours in which the clown can be at the party
The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Dan is planning an event for which the total cost cannot exceed $400.
And, Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour.
Now,
Let number of hours = h
So, We can formulate;
Total spend money = $180 + $35h
Hence, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
Thus, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
Learn more about the inequality visit:
https://brainly.com/question/25275758
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Related Questions
In a right triangle, one of the non-right angles is 73 degrees. What is the measure of the other non-right angle?
Answers
180-90-73=17
The other non right angle is 17
Please complete the table.
Answers
Answer:
10-35-45 and 5-17.5-22.5
Step-by-step explanation:
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Answers
Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
What value for 'C' makes the equation true root(4, (x ^ 4)/(c * y ^ 5)) = x/(3y * (root(4, 5)))
Answers
Answer:
Step-by-step explanation:
It would have to be something that when you take the fourth root of something, you would get 3
The way to find it is just raise 3 to the 4th power.
3^4 = 3 * 3 * 3 * 3 = 9 * 9 = 81
c = 81
Galvin bought 3/5 as many non-fiction books as fiction books from a book fair. He read 6 non-fiction books and 13 fiction books. He then had 3/4 as many non-fiction books left to read as fiction books. How many books did Galvin buy altogether?
Answers
Answer:
Let total non-fiction books = 3x
And total fiction books = 5x
After reading 6 non-fiction books, remaining non-fiction books = 3x-6
After reading 13 fiction books, total fiction books remaining fiction books = 5x-13
(3x-6)/(5x-13) = 3/4
Solving for x, we get x = 5
So total non-fiction books = 15 and fiction books=25
So total number of books bought = 40
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n.
Answers
Answer:
78 dollars
Step-by-step explanation:
Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).
Given:
c(n) = 50 + 4n
Where,
c = monthly cost of visiting a gym
n = number of visits
Find the value of c(7)
That is, when n = 7
c(n) = 50 + 4n
c(7) = 50 + 4(7)
= 50 + 28
= 78
c(7) = 78 dollars
10^6 times 10^5 as a power of ten - thanks !
Answers
Answer:
one hundred billion
Step-by-step explanation:
10^6 x 10^5 = 10^11
10^11 = 100,000,000,000 or one hundred billion
I hope that's what you meant ^-^
(x+4),(x+12),(x-1) and (x+5) are in proportion .find the value of x
Answers
Answer:
x = 16
Step-by-step explanation:
(x +4) : (x +12) :: (x-1)(x +5)
As they are in proportion,
Product of means = Product of extremes
(x + 4)* (x +5) = (x + 12)(x - 1) {Use FOIL method}
x*x +x*5 +4*x + 4*5 = x *x + x*(-1) +12*x + 12*(-1)
x² + 5x + 4x + 20 = x² - x +12x - 12 {Now combine like terms}
x² + 9x + 20 = x² + 11x -12
x² + 9x +20 - x² - 11x = -12
x² - x² + 9x - 11x = -12 - 20
0 - 2x = - 32
-2x = -32 {Divide both sides by -2}
x = -32/-2
x = 16
Isaiah has $12.00 to pay the admission fee and play games at a local fair. There is a $5.00 admission fee, and each game costs $0.25. Write an inequality?
Answers
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets.
Answers
Answer:
3 student tickets and 5 adult tickets
Step-by-step explanation:
Students= 3 tickets
Adults: 7.25 • 5 = 36.25
Students: 5.50 • 3 = 16.5
36.25 + 16.5 = 52.75
its math and i think thats all you really need to know
Answers
Answer:
148692/12
Step-by-step explanation:
12391
Please help I’m failing all of classes please please please
Answers
Answer:
x=39 y=51
Step-by-step explanation:
Step-by-step explanation:
2x = 78 ( they're vertical angles)
divide both sides by 2
x = 39 degrees( I don't if that's correct as I did it in my head so double check) hope this helps!!! MARK BRAINLIEST IF YOU GET IT RIGHT PLEASE!!
Can someone help me with this. Will Mark brainliest.
Answers
Answer:
The lines are perpendicular.
Step-by-step explanation:
If the lines are parallel, then the slopes are equal
If the lines are perpendicular, then the slopes are negative reciprocals
If neither of the above occur, then the lines are neither parallel or perpendicular.
y = 2x + 3 is in slope-intercept form, so the slope = 2
2y + x = 6
Solve for y: 2y = -x + 6
y = -1/2(x) + 3 so the slope = -1/2
2 and -1/2 are negative reciprocals, so the lines are perpendicular.
Note: Negative reciprocals have a product of -1. 2(-1/2) = -1
WILL GIVE BRAINLIEST FOR ANSWER Find the area of the shaded polygons.
Answers
Answer:
7.74 cm2
Step-by-step explanation:
We need to find the area of both the square and the circle and then subtract the two. Inscribed means draw within a figure so as to touch in as many places as possible. So the circle is drawn inside the square. The opposite is circumscribed, meaning drawn outside.
Asquare = s2 = 36 cm2 so the side is 6 cm
6 cm is also the diameter of the circle and thus the radius is 3 cm
A circle = πr2 = 3.14 * 32 = 28.28 cm2
The resulting difference is 7.74 cm2
What is 3.5 divided by 16.87 using long division.
Answers
Answer:
CORRECT ME IF I'M WRONGStep-by-step explanation:
#CARRY ON LEARNINGWhat would x equal( rounded to the nearest tenth)
Answers
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km
Write the equation for the following quadratic relation in standard form:
a= -2 and with a vertex at (-3,4)
Answers
Answer:
3x-x+2=4
Step-by-step explanation:
Solve 5(2–m)-3(4 – 2m) = 20
Answers
Step-by-step explanation:
5(2–m)-3(4 – 2m) = 20
10-5m-12+6m=20
m=22
hope it helps
answer
m =22
solution
5(2-m)-3(4-2m)=20
10-5m-12 +6m=20
-2+m =20
m= 20+2
m =22
Simplify the left side of the equation.
(x + 10) + (4y - x - 10) = 180°
4y = 180°
y= 45°
Combine like terms.
Divide both sides by 4.
Therefore, x = 14 and y = 45.
Now find the measure of each angle. First, find the measure of ZBMQ. To do so, substitute the
value of x into the expression (x + 10)° and simplify.
(x + 10) = (14+ 10) Substitute.
Add.
Help
Answers
Answer:
24
Step-by-step explanation:
14 + 10 = 24.
The Question has given hints.
on a garden plan,two tree are 25metres apart .if the plan has a scale of 1:200,how far are they apart on the plan
Answers
y=3/4x+2 linear or non linear
Answers
Answer:
linear
Step-by-step explanation:
A ray has ................ end point/points.
A. 1
B. 2
C. 3
D. no
Answers
Answer:
one
Step-by-step explanation:
Answer:
is is letter a since a ray has only 1 end point
.After making his first deposit, Paul has $758 in his checking account. The next month,
the balance is $836. The balance after the third month is $914.
Using liner sequences & function
Answers
If you substract 914-836 that equals 78
And if you substract 836-758=78 too
Answer:
Step-by-step explanation:
This is the way I understand the question. I hope it makes sense.
n
∑ (P + 78n) P = the initial depost which is 758
n = 0
so when n = 0 the sum equals P or 758 because 78(0) = 0
so when n = 1 the sum equals P+78(1) = 758 + 78 = 836
so when n = 2 the sum equals P+78(2) = 758 + 156 = 914
Which expression models the phrase "Wally mowed two more lawns than he mowed last week"? n + 2 n minus 2 2 minus n 2 n
Answers
Given:
The phrase is "Wally mowed two more lawns than he mowed last week".
To find:
The expression that models the given phrase.
Solution:
Let the number of lawns mowed by Wally last week be n.
We know that, we use plus sign "+" for "more".
If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.
Lawns mowed this week = [tex]n+2[/tex]
The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
true or false justify your answer
integers are rational numbers
3 squared can be written as a fraction
whole numbers are irrational
Answers
May be true
Help, please :) Giving 16 points and PLEASE BE CORRECT! This is a test so I don't want to get it wrong. Thank you so much!
Answers
Answer:
y=x+4
Step-by-step explanation:
...
What is the measure of angle x?
Answers
Answer:
x = 55°Step-by-step explanation:
1st Δ = 35°
2nd Δ = 90° ...... ( right Δ triangle )
3rd Δ = let x
35° + 90° + x = 180°
125° + x = 180°
x = 180° - 125°
x = 55°
An election was held between two persons to select a representative to a certain
institution. All the voters who were registered cast their votes. The winner
received 7/12 of the votes and
won by a majority of 120 votes.
(i) What fraction of the total votes did the person who lost receive?
(ii) How many registered voters were there?
(iii) Find the number of votes the winner received.
Answers
9514 1404 393
Answer:
(i) 5/12
(ii) 720
(iii) 420
Step-by-step explanation:
(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.
The person who lost received 5/12 of the total votes.
__
(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...
120 votes = 1/6(total votes)
total votes = 6×120 votes = 720 votes
There were 720 registered voters.
__
(iii) The winner received ...
(7/12)(720 votes) = 420 votes . . . received by the winner
Which choice is the solution for the inequality shown below? -5x + 10 > 5
A. x > 1
B. x < 1
C. x > -3
D. x < -3
(Also all the > and < signs had lines under them)
Answers
Answer:
d
Step-by-step explanation:
What are the multiples of 2?
Answers
Answer:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...
Step-by-step explanation:
Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.