5/m-9 = 8/m+5<br><br> Solve the following proportions, while using cross multiplication.

The school cafeteria sells three different types of sandwiches: chicken, turkey,

dusya [7]

Answer:

Number of chicken sandwiches = 150

Number of turkey sandwiches = 150

Number of roast beef sandwiches= 100

Step-by-step explanation:

We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.

Let chicken be x, turkey be y and roast beef be z.

We are told they make 400 sandwiches in total.

Thus;

x + y + z = 400

However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.

Thus, x = y

Thus;

Total is now;

x + x + z = 400

2x + z = 400 - - - (eq 1)

Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.

Thus;

3x + 3.5y + 4z = 1375

Since x = y. Thus;

3x + 3.5x + 4z = 1375

6.5x + 4z = 1375 - - - (eq 2)

Let's make z the subject in eq 1.

Thus;

z = 400 - 2x - - - (eq 3)

Putting 400 - 2x for z in eq(2) gives us;

6.5x + 4(400 - 2x) = 1375

6.5x + 1600 - 8x = 1375

1600 - 1375 = 8x - 6.5x

225 = 1.5x

x = 225/1.5

x = 150

Putting 150 for x in eq 3 gives;

z = 400 - 2(150)

z = 400 - 300

z = 100

Since x = y. Then y = 150

4 0

3 years ago

6 weeks = 6*(1 week)<br>=6* (7 days)<br>= 42 days

balu736 [363]

Answer:

42

Step-by-step explanation:

Yes, you are right.

6 weeks * 7 days in a week.

so 7 days in all 6 weeks is 42 days.

7 0

2 years ago

Read 2 more answers

A group of three friends

Darina [25.2K]

Answer:

$4

Step-by-step explanation:

Each of the three friends orders a combo. If each drink is $2.50 and there are three drinks, that means the total cost of the pizza is $24. There are three combos, each with two slices of pizza, meaning there are six slices of pizza total. Then you divide 24 (the total cost of the pizza) by 6 (the total amount of slices), getting $4 per slice.

8 0

2 years ago

The vertical of three squares are joined to form a right triangle , what is the area of the largest square

lakkis [162]

Answer:

43cm²

Step-by-step explanation:

let's first consider the area of a square.

the area is L² which means all sides are equal so we take the length times the breadth which is both equal because like we said all sides are equal.

so to find the side of the square using the area, we take the square root of both of the area.

$\sqrt{25} = 5$

and also

$\sqrt{18} = 4.2$

so we have the height of the triangle as 5cm and the base is 4.2cm.

now, from the triangle, since we have two sides and it's a right-angled, we can use Pythagoras' formula.

$\sqrt{ {5}^{2} + {4.2}^{2} } = 6.53cm$

so the side 6.53cm is also the same side as the largest triangle. Since it's a square, all sides are equal. So we find the area of the largest triangle by using the formula

Area = L²

Area = 6.53²

Area = 42.6cm

the nearest cm square

Area = 43cm²

8 0

2 years ago

Read 2 more answers

6y - 5x = 5 and x= 2y + 7

jolli1 [7]

Y = -10 and x = -13 (substitute 2y + 7 for x)

5 0

3 years ago

5/m-9 = 8/m+5 Solve the following proportions, while using cross multiplication.