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IgorC [24]
3 years ago
8

Tito purchased sandwiches and a gallon of milk for himself and his friends. Each sandwich cost $9. The gallon of milk cost $6. T

he total cost of the meal was $33. the equation for x, the number of sandwiches that Tito purchased? *
Mathematics
2 answers:
Maslowich3 years ago
6 0

Answer:

9x + 6 = 33; 3

Step-by-step explanation:

9x + 6 represents the number of sandwiches and gallon of milk Tito purchased. 33 represents the total cost of the sandwiches and milk. Using this equation, we can solve to find x (the number of sandwiches purchased). Therefore, x = 3.

soldi70 [24.7K]3 years ago
4 0

Answer:

answer SHOULD be 3 sandwiches

Step-by-step explanation:

33-6=27÷9=3

You might be interested in
03,
Nataly_w [17]

Answer:

x = 5

Step-by-step explanation:

(7x + 16) = 90 - 39

7x + 16 = 51

7x = 51 - 16 = 35

x = 5

6 0
2 years ago
Read 2 more answers
4) The path of a satellite orbiting the earth causes it to pass directly over two
Naily [24]

Answers:

  • Satellite is approximately <u>2446.43 km</u> from station A.
  • Satellite is approximately <u>2441.61 km</u> above the ground.

=========================================================

Explanation:

I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.

The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths

  • AB = 60 km
  • AD = x
  • CD = h

Focusing on triangle ACD, we can apply the tangent rule to isolate h.

tan(angle) = opposite/adjacent

tan(A) = CD/AD

tan(86.4) = h/x

x*tan(86.4) = h

h = x*tan(86.4)

We'll use this later in the substitution below.

--------------------

Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say

tan(angle) = opposite/adjacent

tan(B) = CD/DB

tan(B) = CD/(DA+AB)

tan(85) = h/(x+60)

tan(85)*(x+60) = h

tan(85)*(x+60) = x*tan(86.4) .............  apply substitution; isolate x

x*tan(85)+60*tan(85) = x*tan(86.4)

60*tan(85) = x*tan(86.4)-x*tan(85)

60*tan(85) = x*(tan(86.4)-tan(85))

x*(tan(86.4)-tan(85)) = 60*tan(85)

x = 60*tan(85)/(tan(86.4)-tan(85))

x = 153.612786190499

--------------------

We'll use this approximate x value to find h

h = x*tan(86.4)

h = 153.612786190499*tan(86.4)

h = 2441.60531869599

h = 2441.61 km  is how high the satellite is above the ground.

Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AC

cos(86.4) = x/AC

cos(86.4) = 153.612786190499/AC

AC*cos(86.4) = 153.612786190499

AC = 153.612786190499/cos(86.4)

AC = 2446.43279498247

AC = 2446.43 km is the distance from the satellite to station A.

6 0
3 years ago
TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a c
Svetllana [295]

Let x be the number of MP3 players TechWiz sold last week.

If TechWiz sold in total 130 MP3 and DVD players, then it sold (130-x) DVD players.

1. TechWiz Electronics makes a profit of $35 for each MP3 player sold, then it makes a profit $35x for x MP3 players sold.

2. TechWiz Electronics makes a profit of  $18 for each DVD player sold , then it makes a profit $18(130-x) for (130-x) DVD players sold.

3. An expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is

35x+18(130-x).

You can simplify it:

35x+2,340-18x=17x+2,340

Answer: 35x+18(130-x) or 17x+2,340

8 0
3 years ago
Lindsey Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 814 p
baherus [9]

Answer:

The number of free throws, two-point throw, and three-point throw are 135, 173, and 111 respectively.

Step-by-step explanation:

Let x,y, and z are the numbers of two-point field goals, numbers of three-point field goals, and the number of free-throws (one-point goal) respectively.

The total points= 814

\Rightarrow 2x+3y+z=814\;\cdots(i)

As the number of two-point  goals was 49 less than double the number of three-point field goals she made.

\Rightarrow x=2y-49 \;\cdots(ii)

Again, the number of free goals was 38 less than the number of two-point field goals she made.

\Rightarrow z=x-38\;\cdots(iii)

From equations (i) and (iii)

2x+3y+x-38=814

\Rightarrow 3x+3y=852

\Rightarrow x+y=284

\Rightarrow 2y-49+y=284 [using equation (ii)]

\Rightarrow 3y=333

\Rightarrow y=111

From equation (ii),

x= 2\times111-38=173

From equation (iii),

z=173-38=135.

Hence,

The number of free throws, z= 135

The number of two-point throw, x=173

The number of three-point throw, y=111.

3 0
3 years ago
mark ordere wome balloons for a party that she is having.The balloons cost $4.50 each and there is a service fee of $12.The tota
ohaa [14]
A general equation to use for this situation is y = mx + b.

For this question, we can assume that y is total cost, m is cost per balloon, x is the amount of balloons, and b as the service fee; so we can set the equation up:

y = (4.50)x + 12

And we can further plug in the total cost to find the number of balloons purchased for the party:

79.50 = (4.50)x + 12

Now we can solve for x (number of balloons):

67.50 = (4.50)x

x = 15

The total number of balloons purchased for the party is 15.
5 0
2 years ago
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