Answer:
Inequality: 20.50x + $17.75 ≤ $110
Solve: 4 people can go to the amusement park
Explaination:
Inequality:
$110 = Amount of money they have
$17.75 = Parking Cost
$20.50 = Cost of tickets per person
Because they only have $110, they can't spend more than that amount.
Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:
20.50x + $17.75 ≤ $110
Solve:
$110 - $17.75 = $92.25 (92.25 is how much is left for tickets after subtracting the parking cost)
$20.50 x 4 = $82 (4 tickets can be bought for the price of $20.50)
$92.25 - $82 = $10.25 (10.25 isn't enough for another person)
So, the solution to the inequality is 4 people can go to the amusement park.
solve the following eqation: -8.2 + t/-2 = 1.7
Answer:
t = -19.8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]-8.2 + \frac{t}{-2} = 1.7[/tex] [tex]-8.2 - \frac{1}{2}t = 1.7[/tex] [tex]-\frac{1}{2}t - 8.2 = 1.7[/tex]Step 2: Add 8.2 to both sides.
[tex]-\frac{1}{2}t - 8.2 + 8.2 = 1.7 + 8.2[/tex] [tex]-\frac{1}{2}t = 9.9[/tex]Step 3: Multiply both sides by -2.
[tex]-\frac{1}{2}t * (-2)= 9.9 * (-2)[/tex] [tex]t = -19.8[/tex]Please help!! I'm struggling so bad with this!!
Answer:
Step-by-step explanation:
25.
Statement / Reason
AB ≅ CD / given (side)
<ABD ≅ <CDB /given (angle)
BD ≅BD / reflexive property (side)
ΔABD ≅ Δ CDB / SAS theorem of triangles congruency
26.
Statement / Reason
< P ≅ < T / Given (angle)
PR ≅TR / Given (side)
< PRQ ≅< TRS / Vertical angles are congruent (angle)
ΔQPR ≅ΔSTR / ASA theorem of triangles congruency
28.
Statement / Reason
AB ≅ ED / Given (side)
< A ≅ < D / Given (angle)
<ASB ≅ <DCE / Vertical angles are congruent (angle)
ΔABC ≅ΔDEC / SAA theorem of congruency
30.
Statement / Reason
PS ≅ QR / Given (side)
PQ ≅ SR / Given (side)
PR ≅ PR / Reflexive propriety (the line segment is congruent with itself) (side)
ΔPSR ≅ ΔPQR / SSS theorem of congruency
31.
Statement / Reason
< M ≅ < L / Given (angle)
MK ≅ LK / JN bisects ML is given and by definition a line segment bisector forms two congruent parts. (side)
<MKJ ≅ <LKN / vertical angles are congruent (angle)
ΔMJK ≅ΔLNK / ASA theorem of triangles congruence
< 1 and < 2 are supplementary angles . the m <2 =142, what is the m<1
12. Which of the following functions is the inverse of f(x) = 3x? (1 point)
Of(x)=-3x
Of(x)=x?
Of(x) =
This function does not have an inverse.
13. Which of the following functions is the inverse of f (x) = 4x-10? (1 point)
x-10
O f (x) =
4
*+10
O f (x) =
4
4
O f(x) =
x-10
4
O f (x) =
x+10
Answer:
Step-by-step explanation:
12) f(x) = 3x
y = 3x
x = 3y
x/3 = y
13) f(x) = 4x-10
y = 4x - 10
x = 4y - 10 (isolate y)
(x+10)/4 = y
The required inverse function would be f⁻¹(x) = x / 3.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
f(x) = 3x
So after switching x and y,
Now, we solve for y regularly.
f(x) = x = 3y
Solve for y :
⇒ x = 3y
⇒ x / 3 = y
⇒ y = x / 3 = f⁻¹(x)
Therefore, the required inverse function would be f⁻¹(x) = x / 3.
Learn more about the inverse functions here:
brainly.com/question/2541698
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Complete question is ;
Which of the following functions is the inverse of f (x) = 3x? A. F (x) = -3x. B. F (x) = X3. C. F (x)=x/3 D. This function does not have an inverse.
please help mè to this
Science
Answer:
Wooden popsicles, Tissues.,glassbottles, juice cans, paper cups
Which statement is true?
A. An inch is longer than a foot.
B. A meter is shorter than a centimeter
C. A pound is heavier than an ounce
D. A kilogram is lighter than a gram
Answer:
c
Step-by-step explanation:
other statements are false
what does it mean is x=5 a solution?
Answer:
it can mean that on a graph where y=0 and x=5 that the line goes through that point or I can just mean in an equation that if y is 0, then x is 5
What is the smallest multiple of 18 of the form 2A945B, where A and B are digits?
Answer:
[tex]219456[/tex]
Step-by-step explanation:
It must end in [tex]0,2,4,6,8[/tex] (divisible by 2 rule) and the digits must sum to a multiple of 9(divisible by 9 rule).
The digit sum is [tex]2+A+9+4+5+B=20+A+B[/tex].
We want to make [tex]A[/tex] as low as possible because it's a higher digit than [tex]B[/tex].
If [tex]A[/tex] is as low as possible, we have that the sum is [tex]20+0+7=27[/tex]. Uh-oh. [tex]B[/tex] has to be even! So [tex]A=0[/tex] doesn't work.
If [tex]A=1[/tex], we have that the sum is [tex]20+1+6=27[/tex]. Yay!
So, the answer is [tex]\boxed{219456}[/tex]
a sewing project requires material costing $44 plus tassels. If the material and tassels are to be purchased with four $20 dollar bills, how many tassels can be purchased if they cost $2.40 each
Answer:
i think the answer is 15
Step-by-step explanation:
four $20 bills would equal $80
$80- $44 because of materials gives you $36
$36 divided by 2.50 equals 15
i hope this makes sense :)
Can anyone help me with this question please ?
Answer:
-0.20412414523 there you go
la palabra tremulas es una palabra grave o esbrujula?
Answer:
Step-by-step explanation:
La palabra trémula es esdrújula porque la sílaba tónica es la antepenúltima sílaba. Las palabras esdrújulas siempre llevan tilde (acento ortográfico).
MIREN LA IMAGEN Y RESPONDE
Answer:
E
Step-by-step explanation:
Giải phương trình:
sin*2x+sinxx.cox=1/2
Answer:
x = 9.47 degrees ( in first quadrant.
Step-by-step explanation:
sin2x + sinx cos x = 1/2
Now sinx cos x = 1/2sin2x so:
3/2sin2x = 1/2
sin2x = 1/2 / 3/2
sin2x = 1/2 * 2/3 = 1/3
2x = arcsin 1/3 = 19.47 degrees
x = 9.74 degrees to nearest hundredth.
First Class Airlines has 40 pilots for every 15 aircrafts. If they employ 250 pilots, how many aircrafts does First Class Airlines own?
(Answer is ratio or proportion)
We want to find a proportional relationship between the number of pilots and aircraft, and use that to find the number of aircrafts for a given number of pilots.
We can expect to have 94 aircrafts if there are 250 pilots.
Let's see how to get that.
We start by defining what a proportional relationship is.
A proportional relationship between two variables x and y can be written as:
y = k*x
Where k is the constant of proportionality.
Here we do know that there are 40 pilots for every 15 aircrafts, then we can replace these values in the general proportional equation, where x will be the number of aircrafts and y the number of pilots.
40 = k*15
40/15 = k
Now we know the proportional relationship:
y = (40/15)*x
Now to find the number of aircrafts given that we have 250 pilots, we just need to replace the number of pilots by 250 and solve for x:
250 = (40/15)*x
250*(15/40) = x = 93.75
We can round this to the next whole number, 94.
So we can expect to have 94 aircrafts if there are 250 pilots.
If you want to learn more, you can read:
https://brainly.com/question/13114933
Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters.Which measurement does 494949 square meters represent?Choose 1 answer:
how do i solve this problem?
Answer:
The fraction for 0.455555... is 41/90.
Step-by-step explanation:
Hope this helps!
suppose another line for a chair lift is placed at a constant distance c below the gondola line. what is the equation of the new line? is the new line also parallel to the hill? explain.
Answer:
Yes They are Parallel.
Step-by-step explanation:
The required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.
Given that,
Suppose another line for a chair lift is placed at a constant distance c below the gondola line. the equation of the new line and is the line parallel to the hill is to be discussed.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The required new line is placed at a constant distance c below the gondola line,
If the line has a constant distance from the other line that implies that the line is parallel, and the equation of the line is given as,
y = ax + c
Thus, the required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.
learn more about lines here:
brainly.com/question/2696693
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b) 8 x + 3 = 35
C)_times5=80/2
Answer:
b. 8×+3=35
Step-by-step explanation:
is the answer
what is the length of the x component of the vector shown below
Answer:
D
Step-by-step explanation:
x=8*cos(34°)=6.632≈6.6
Mark has a £5 note. A litre of milk costs 80p. Mark buys as many litre cartons of milk as he can. How much money will he have left over?
Help plz.. it’s due tonight
at a charity casino event, a woman begins playing a slot machine with $10 in quarters in her coin bucket. she plays 15 quarters before winning a jackpot of 50 quarters. she then plays 20 more quarters in the same machine before walking away. how many quarters does she now have in her coin bucket?
Answer:
265 quarters ($66.25)
Step-by-step explanation:
10$ in quarters is 250 quarters.
you subtract the 15 from winning (=235), then add 50 for the jackpot (=285). Subtract another 20 for her final plays (=265).
A long tunnel has the shape of a rectangular prism. It is about 100 cm high, 10 m wide and 1 km long. What is the volume of the tunnel expressed as an exponent?
A. 10^4 m3
B. 1000 cm3
C. 1 km3
D. 10^3 m3
pls help with full thing
what is 4000ml to dm
Answer:
4
Step-by-step explanation:
Answer:
4 cubic decimeters.
....
Math experts please provide the product in standard form thank you so much
Answer:
[tex]2x^{3} -11x^{2} +18x-9[/tex]
Step-by-step explanation:
use foil thn combine like terms
MRs budney made 12 cupcakes. Ms dykastra made 9 cupcakes. How many cupcakes did the teachers make altogether?
Answer:
21
Step-by-step explanation:
9 + 12 = 21
Answer:
21
Step-by-step explanation:
You add 12 cupcakes plus 9 cupcakes it then will equal 21 cupcakes.
Find the x- and y-intercepts of the graph of 3x-7y=39. State your answers as whole numbers or as improper fractions in simplest form.
The length and width of a rectangle are two consecutive integers. The perimeter of the rectangle is 26. what is the length and the width? :)
Answer:
Width = 6
Length = 7
Step-by-step explanation:
Consecutive integers: x and x+1
2x + 2(x+1) = 26
2x +2x + 2 = 26
4x = 26 - 2
x = 24/4
x = 6
solve the inequality. 4w < 0
Answer:
w<0
Step-by-step explanation:
divide both sides by 4
Answer:
0<0
Step-by-step explanation:
divide both sides by 4 and it leaves you with 0 on both sides.