1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
deff fn [24]
1 year ago
11

Jose bout 9 movie tickets for a total of $54 adult tickets cost $8 is an adult child ticket cost $3.50 each. How many adult tick

ets did he buy?
Mathematics
1 answer:
dlinn [17]1 year ago
8 0

We know that

• 9 tickets cost $54.

,

• Adult tickets cost $8.

,

• Child ticket costs $3.50.

Let's call <em>x</em> adult tickets and <em>y</em> child tickets.

Using the given information, we can define the following.

x+y=9

Because Jose bought 9 tickets in total.

Then, we express another equation.

8x+3.50y=54

This equation represents the costs.

Let's isolate <em>y</em> in the first equation.

y=9-x

Then, we replace this last expression in the second equation.

8x+3.50(9-x)=54

We solve for <em>x</em>.

\begin{gathered} 8x+31.50-3.50x=54 \\ 4.50x=54-31.50 \\ 4.50x=22.50 \\ x=\frac{22.50}{4.50} \\ x=5 \end{gathered}<h2>Therefore, Jose bought 5 adult tickets.</h2>

You might be interested in
Find the value of x given m (I need a lot of help)
FrozenT [24]

Answer:

x=7

Step-by-step explanation:

m angle SAR = m angle SQR (angles lying in the same segment of a circle are always equal)

that's why

7x+7=9x-7

9x-7x= 7+7

2x= 14

x=7

8 0
2 years ago
Read 2 more answers
PLEASE HELP
miss Akunina [59]

In the smallest of the three triangles (with sides a,b,3) we have

a^2+3^2=b^2

In the second-largest triangle (with sides a,108), the length of the missing side is \sqrt{a^2+108^2}. Then in the largest triangle (with sides b,111,\sqrt{a^2+108^2}), we have

b^2+\left(\sqrt{a^2+108^2}\right)^2=(108+3)^2=111^2

\implies b^2+a^2+108^2=111^2

\implies b^2+a^2=657

Equivalently, we have

(a^2+9)+a^2=657\implies 2a^2=648\implies a^2=324\implies a=18

In turn, we find

b^2=18^2+3^2=298\implies b=\sqrt{333}=3\sqrt{37}

6 0
3 years ago
#6) Beth saved a total of $30 per month for her first car. Beth saved
babymother [125]

Answer:

Domain = 0≤m≤20 for mEZ+

Range = $100≤A≤$700 for all values of m

Step-by-step explanation:

Initial amount in the account = $100

Amount saved by beth monthly = $30

Amount in the bank after X month = $100+$30X where X is the number of months beth intend to save up to.

The amount in her bank in her first month = $100+$30(1)

= $100+$30

= $130

Amount saved in the second month will be when X = 2

= $100+$30(2)

= $100+$60

= $160

The amount in the bank will keep increasing by $30 monthly until the 20month.

The amount he will have in her bank in the 20th month will be at when X = 20

= $100+30X

= $100+30(20)

= $100+$600

= $700

This means that her money will be $130 in the first month and will keep increasing until it reaches $700 in the 20th month.

The DOMAIN will be the interval of the time she used in saving. Since she saved for 20months, the domain will be expressed as 0≤m≤20 for mEZ+ where m is the number of month she uses to save.

The Range will represent the amount she saved within the specified time and will be expressed as $100≤A≤$700 for all values of m.

Where $100 is the amount in the account initially and $700 is the amount in the account after 20 months.

3 0
3 years ago
I know how to do this and the teacher don't teach it right so I don't get how to do it at all
Kobotan [32]
I dont have time to do all of these right now my apolgies but Ill explain how to do it.

The 3 angles of a triangle add up to 180.

So let me show you how to do 1.
.
.
.

1. 58 degrees

92, 30, ?

If we add together the first two angles,
92+30= 122
Knowing the total addition of all three angles would ne 180, we can subtract 122 from it to get the third angle.
180-122= 58

So we now know the last angle is 58 degrees because

92+30+58=180
4 0
3 years ago
Read 2 more answers
What additional information is needed to prove the triangles are congruent by the SAS Prostulate
VladimirAG [237]
It is that the angle has to be formed by two pairs of congruent/corresponding sides of the triangle
8 0
3 years ago
Other questions:
  • Probability help please? In a certain instant lottery game, the chances of a win are stated as "1 in 19." Express the indicated
    8·1 answer
  • Scott sets up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 12 feet high. To
    11·1 answer
  • A circle has a circumference of \blue{18}18start color #6495ed, 18, end color #6495ed. It has an arc of length 666.
    11·2 answers
  • Hi! I'm having trouble with my algebra homework. The second question (b) confused me, I don't understand what they are asking or
    5·1 answer
  • You want to take a trip to Brazil.
    12·1 answer
  • 1. Which of the following conversions is possible?
    6·2 answers
  • Can someone help?<br> Need to find x, and measure of angle DEF
    8·1 answer
  • I'll give you brainliest or something just help.
    8·1 answer
  • OKAY I NEED HELP. DONT MIND THE FACT I HAVED IT ANSWERED IT DOESNT SEEM TO LET ME TAKE IT OFF BUT I NEED HELP PLS D:::
    6·2 answers
  • Logarithms - Please Help!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!