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3 years ago

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Joel can drive his car 450 miles at a steady speed using 15 gallons of gasoline. Making rate table showing the number of miles y

ou can drive his car for 1,2,3,..., and 10 Gallons of gas. What would the rate table look like????

1 answer:

harkovskaia [24]3 years ago

4 0

I hope this helps!! Don’t mind the 20 mph at the top. That was from another problem I was helping someone else on.

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The outside temperature was 73°f at 1.p.m and decreases at a rate of 1.5°f each hour. What expression can be used to determine t

Nonamiya [84]

Your expression will be h = -1.5°x + 73°

7 0

3 years ago

Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and

maria [59]

Answer:

See Step by step explanation

Step-by-step explanation:

Objective Function: z

x = number of contemporary style

y = number of farmhouse style

Costs

Carpentry costs:

15*2*x + 15*2,5*y = 30*x + 37,5*y

Painting costs

12*1,5*x + 12*1*y = 18*x + 12*y

Finishing costs

18*1,3*x + 18*1,2*y = 23,4*x + 21,6*y

Total costs:

30*x + 37,5*y + 18*x + 12*y + 23,4*x + 21,6*y

71,4*x + 71,1*y

z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize

z = 18,6*x + 13,9*y to maximize

Subject to:

First constraint:

Hours available in carpentry 3000

2*x + 2,5*y ≤ 3000

Second constraint

Hours available in painting 1500

1,5*x + 1*y ≤ 1500

Third constraint

Hours available in finishing 1500

1,3*x + 1,2*y ≤ 1500

Fourth constraint

Minimum quantity of contemporary style 500

x ≥ 500

Fifth constraint

Minimum quantity of farmhouse style 650

y ≥ 650

General constraints:

x ≥ 0 y ≥ 0 x , y integers

Model:

z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize

Subject to:

2*x + 2,5*y ≤ 3000

1,5*x + 1*y ≤ 1500

1,3*x + 1,2*y ≤ 1500

x ≥ 500

y ≥ 650

x ≥ 0 y ≥ 0 x , y integers

8 0

3 years ago

Given square ABCD, with point P on side AB , point Q on side BC, point R on side CD, and point S on side DA as shown. Additional

sveta [45]

The ratio of the area of square PQRS to the area of square ABCD is 5/9

<h3>Area of square ABCD</h3>

Assume the measure of the side lengths of the square ABCD is 1, then the area of the square ABCD is:

$A_1 = 1 \times 1$

$A_1 = 1$

See attachment for the diagram that represents the relationship between both squares.

<h3 /><h3>Pythagoras theorem</h3>

The measure of length PQ is then calculated using the following Pythagoras theorem:

$PQ^2 = (\frac 13)^2 + (\frac 23)^2$

Evaluate the squares

$PQ^2 =\frac 19 + \frac 49$

Add the fractions

$PQ^2 =\frac 59$

<h3>Area of square PQRS</h3>

The above represents the area of the square PQRS.

i.e.

$A_2 =\frac 59$

So, the ratio of the area of PQRS to ABCD is:

$Ratio = \frac{A_2}{A_1}$

This gives

$Ratio = \frac{5/9}{1}$

$Ratio = \frac{5}{9}$

Hence, the ratio of the area of square PQRS to the area of square ABCD is 5/9

Read more about areas at:

brainly.com/question/813881

8 0

2 years ago

Every week, Mr. Kirkson uses 316 gallon of water to water every 13 square foot of his garden. How many gallons of water does Mr.

muminat

316 divided by 13= 24.3 gallons of water per square foot

4 0

3 years ago

Find the value of the missing angle in the following Triangle x= _________ degrees

lisabon 2012 [21]

The answer is 65 degrees

3 0

3 years ago