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Viefleur [7K]
2 years ago
11

At an airport restaurant, 2 sodas and 4 hamburgers cost $12.00. An order of 4 sodas and 2 hamburgers costs $9.00. How much does

one hamburger cost?
Mathematics
2 answers:
Charra [1.4K]2 years ago
4 0
Let the cost of soda be s.
Let the cost of hamburgers = h

\begin{cases} &2s + 4h = 12 ----- (1) \\&4s + 2h = 9 ----- (2)\end{cases}

Multiply Equation (1) by 2 :
\begin{cases} &4s + 8h = 24 ----- (1)\\&4s + 2h = 9 ----- (2)\end{cases}

Equation (1) - (2):
\begin{aligned} &6h = 15 \\&h = 2.5 \end{aligned}

Answer: 1 hamburger costs $2.50
zhenek [66]2 years ago
3 0
Let's say the sodas are each $1. If you have purchased 4 sodas it will cost $4. You still have $5 left on your bill. If you have 2 hamburgers left on your bill the amount of each hamburger is $2.50.
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There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 c
VladimirAG [237]

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

4 0
2 years ago
A hospital cafeteria has 20 20 tables. 65% 65 % of the tables have 6 6 chairs at each table. The remaining 35% 35 % of the table
miss Akunina [59]

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{65\% of 20}}{\left( \cfrac{65}{100}\right)20}\implies 13


so, 13 of the 20 tables have 6 chairs each.

that means, the remaining 7 tables, have 4 chairs each.

13 * 6 = 78 chairs total for those 13 tables.

7 * 4 = 28 chairs total for the remaining 7 tables.

78 + 28, that's how many.

4 0
2 years ago
Read 2 more answers
How many distinct pairs of disjoint non-empty subsets of A are there, the union of which is all of A?
Mrac [35]
A = {1, 2, 5, 6, 8}
{1} U {2, 5, 6, 8} 
{2} U {1, 5, 6, 8} 
{5} U {1, 2, 6, 8} 
{6} U {1, 2, 5, 8} 
{8} U {1, 2, 5, 6} 
{1, 2} U {5, 6, 8} 
{1, 5} U {2, 6, 8} 
{1, 6} U {2, 5, 8}
{1, 8} U {2, 5, 6} 
{1, 2, 5} U {6, 8} 
{1, 2, 6} U {5, 8}
{1, 2, 8} U {5, 6}
{1, 5, 6} U {2, 8}
{1, 5, 8} U {2, 6}
{1, 6, 8} U {2, 5} 
The answer is 15 distinct pairs of disjoint non-empty subsets.
5 0
2 years ago
Roger and rita each drive at a constant speed between phoenix and san diego. Each driver’s distance for the same section of the
never [62]

Answer:

a)Rita had a 28-mile head start

Step-by-step explanation:

The multiple options have been added in the additional information below the problem statement.

<u>Missing Information:</u>

Since the distance of each driver is not displayed. Let us assume their distances.

Say,

Roger travelled distance = 60 miles

Rita travelled distance = 32 miles

Now as it is given in the problem statement that Roger and Rita both drove at a constant speed between Phoenix and San Diego and they drove "Same Section of the trip" .

Which Means that the distance travelled of both is between Phoenix and San Diego, just their starting points are different but their end point is the same which is San Diego.

<em><u>As we can see RIta had to cover less miles which means she got the head start, now to calculate how much of a head start she got, we need:</u></em>

Head Start Rita got = Distance Roger travelled - Distance Rita Travelled

Head Start Rita got = 60 - 32 = 28 miles

So,

Rita got a Head start of 28 miles which is option (a)

5 0
2 years ago
Read 2 more answers
Write a function max that has two c string parameters and returns the larger of the two.
DedPeter [7]
<span>char max(char number1, char *number2){
if (strcmp(number1, number2) > 0)
return number1;
else
return number2;
}</span>
7 0
2 years ago
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