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oksian1 [2.3K]
3 years ago
11

Blank divided by 12 equals 7 with a remainder of 1

Mathematics
1 answer:
Elodia [21]3 years ago
8 0
7x12=84, plus 1 equals 85.

85/12=7, remainder of 1.

The answer is 85.
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The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b
katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

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3 years ago
Name _____________________________________ Date ______________________________Pd______ Unit: Equations & Inequalities Homewo
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Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> x2 - 3 ln y + y2 = 10
Veseljchak [2.6K]

Answer:

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

Step-by-step explanation:

We are given that

x^2-3lny+y^2=0

Differentiate w.r.t x

2x-\frac{3}{y}\frac{dy}{dx}+2y\frac{dy}{dx}=0

By using formula

\frac{dx^n}{dx}=nx^{n-1}

\frac{d(lnx)}{dx}=\frac{1}{x}

\frac{dy^n}{dx}=ny^{n-1}\frac{dy}{dx}

\frac{dy}{dx}(-\frac{3}{y}+2y)+2x=0

\frac{dy}{dx}(-\frac{3}{y}+2y)=-2x

\frac{dy}{dx}=-\frac{2x}{-\frac{3}{y}+2y}

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

Hence, the derivative of function

\frac{dy}{dx}=-\frac{2xy}{2y^2-3}

8 0
3 years ago
At a local college 100 students were asked about their major fields of study. The results are shown below. What is the probabili
Oksanka [162]

Answer:

7/10

Step-by-step explanation:

To find the probability that a student is a liberal arts or female, we have to add together all of the people who were female or liberal arts majors in the study. If we add those together, (15 + 18 + 17 + 20) we get 70. 70/100 can be simplified to 7/10.

5 0
3 years ago
Read 2 more answers
(From Textbook) A company makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce,
Doss [256]

Answer:

The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

Step-by-step explanation:

Let x be the number of ounces of chicken

let y be the number of ounces of grains

We are given that Chicken has 10 grams of protein and 5 grams of fat per ounce.

Chicken has protein in 1 ounce = 10

Chicken has protein in x ounces = 10x

Chicken has fat in 1 ounce = 5

Chicken has fat in x ounces = 5x

We are also given that grain has 2 grams of protein and 2 grams of fat per ounce

Grain has protein in 1 ounce = 2

Grain has protein in y ounces = 2y

Grain has fat in 1 ounce = 2

Grain has fat in y ounces =2y

Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.

So, equation becomes:

10x+2y\geq 200 ---A

5x+2y\geq 150  ---B

Since x and y represent the ounces .

So, x\geq 0 ---C and y\geq 0 ----D

Plot A ,B ,C and D on the graph

Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)

We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce

So, Cost function becomes : c=10x+y

At(0,100)

c=10x+y

c=10(0)+100

c=100

At(10,50)

c=10x+y

c=10(10)+50

c=150

At(30,0)

c=10x+y

c=10(30)+0

c=300

Minimum cost is 100 cents at (0,100)

So,  the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

3 0
3 years ago
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