How do I do a,b,c, and d?

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

PLZ HELP I WILL GIVE BRIANLY!

kumpel [21]

Answer:36

Step-by-step explanation:

$\frac{4}{7} =\frac{48\\}{84}$

for every 7 students there are 4 girls, so for every 84 there must be 48

7*12=84

4*12=48

so, in all 84 students there are 48 girls

so amount of boys=84-48=36

there are 36 boys

8 0

2 years ago

Which equation has the same solution as 10(x) - x + 5 = 41

viva [34]

Step-by-step explanation:

if that is truly the full problem description, then we have

10x - x + 5 = 41

=>

9x = 36

our simply

x = 4

so, I am not sure, what your teacher wants to see as result.

there is an infinite number of equations I could find, all with the solution x = 4.

6 0

3 years ago

Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.

PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = $( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} )$ .

But, $\frac{-8k-3}{k+1}$ = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. $k = \frac{3}{2}$

So, the ratio is k : 1 i.e $\frac{3}{2} : 1$ i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, $\frac{9k-1}{k+1}$ = m where $k = \frac{3}{2}$

i.e. m = $\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}$

i.e. m = $\frac{27-2}{3+2}$

i.e. m = $\frac{25}{5}$

i.e. m = 5.

Hence, the value of m is 5.

4 0

3 years ago

Read 2 more answers

Find the volume of the solid below.

Semenov [28]

Answer:

Volume = V= 346.43 cm ^3

Step-by-step explanation:

15.32 x 10 = 153.2cm Area of side

We find the height of the cylinder, to enable the radius/2 for the circle side x 2

it would be the same as triangle side 6 but the exact circumference is worked out at 6.37

We start by finding the side

As a = half circumference = 20 x sin (30) =10 we x2 for full circumference, then divide by pi

10 +10 =20cm circumference.

20/6.28 =3.1847133758 = radius

we x 2 and find the height

3.1847133758 x 2 = 6.3694267516

rounded to nearest 10th = 6.4 units exact 6.37

We find other measurements before calculating volume.

and b = √400-√100 = √300

b= 17.32 (height for volume use) or length of right side cylinder

c= 20 hypotenuse.

Volume = πr2h

V= 3.14 * 6.37 * 17.32 =346.43

V= 346.43 cm ^3

V= 346 cm ^3 to nearest 10th

V= 346.43 cm^3

5 0

2 years ago