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just olya [345]

3 years ago

14

A catering business offers two sizes of baked ziti. Its small ziti dish uses 1 cup of sauce

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

x + 2y ≤ 100 and x + 3y ≤ 400

Maximum profit = 6x + 5y.

Step-by-step explanation:

Let there be x number of small dishes and y number of large dishes to maximize the profit.

So, total profit is P = 6x + 5y .......... (1)

Now, the small dish uses 1 cup of sauce and 1 cup of cheese and the large dish uses 2 cups of sauce and 3 cups of cheese.

So, as per given conditions,

x + 2y ≤ 100 ........ (1) and

x + 3y ≤ 400 .......... (2)

Therefore, those are the constraints for the problem. (Answer)

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nikdorinn [45]

Answer 1, line segment WY bisects angle XYZ

5 0

3 years ago

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

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3 years ago

What is the slope of the graph? (PLEASE HELP)

Snowcat [4.5K]

to calculate the slope m , use the ' gradient formula '

m = $\frac{y_{2-y_{1} } }{x_{2-x_{1} } }$

with ( $x_{1}$ , $y_{1}$ ) = (0, - 1 ) and ( $x_{2}$ , $y_{2}$ ) = (1, 5 )

m = $\frac{5+1}{1-0}$ = 6

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Answer:

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Step-by-step explanation:

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The given above is are triangles, as per the proof the line segments on top and bottom part are parallel. Also, it is given that two pairs of the angles of the triangles are congruent.

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3 years ago