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tiny-mole [99]
3 years ago
14

1....1/4 y + 1 1/2 + 2-1 3/4 y -12 2....5=1/5x-3 3....1/2 h + 1 from 3/4 h +4

Mathematics
1 answer:
Tanya [424]3 years ago
7 0
1)  (-1 1/2)(y)-8 1/2
2)   x=40

 
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What is an equivalent expression for 3a + 5 ?​
Georgia [21]

Answer:

Equivalent  expression:

6a + 10

or

9a + 15

6 0
3 years ago
Find 8.5 times the difference between 77 and 13
Anton [14]

Answer:

544

Step-by-step explanation:

The statement 8.5 times the difference between 77 and 13 can be expressed mathematically as 8.5×(77-13)

According to BODMAS, we will deal with the expression in the bracket first to have;

8.5×64

Then we the product of the resulting expression.

8.5×64

= 544

The answer is 544

4 0
3 years ago
A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed along the river, the fence on t
Andreas93 [3]

Answer:

a) Side Parallel to the river: 200 ft

b) Each of the other sides: 400 ft

Step-by-step explanation:

Let L represent side parallel to the river and W represent width of fence.

The required fencing (F) would be F=L+2W.

We have been given that field must contain 80,000 square feet. This means area of field must be equal to 80,000.

LW=80,000...(1)

We are told that the fence on the side opposite the river costs $20 per foot, and the fence on the other sides costs $5 per foot, so total cost (C) of fencing would be C=20L+5(2W)\Rightarrow 20L+10W.

From equation (1), we will get:

L=\frac{80,000}{W}

Upon substituting this value in cost equation, we will get:

C=20(\frac{80,000}{W})+10W

C=\frac{1600,000}{W}+10W

C=1600,000W^{-1}+10W

To minimize the cost, we need to find critical points of the the derivative of cost function as:

C'=-1600,000W^{-2}+10

-1600,000W^{-2}+10=0

-1600,000W^{-2}=-10

-\frac{1600,000}{W^2}=-10

-10W^2=-1,600,000

W^2=160,000

\sqrt{W^2}=\pm\sqrt{160,000}  

W=\pm 400

Since width cannot be negative, therefore, the width of the fencing would be 400 feet.

Now, we will find the 2nd derivative as:

C''=-2(-1600,000)W^{-3}

C''=3200,000W^{-3}

C''=\frac{3200,000}{W^3}

Now, we will substitute W=400 in 2nd derivative as:

C''(400)=\frac{3200,000}{400^3}=\frac{3200,000}{64000000}=0.05

Since 2nd derivative is positive at W=400, therefore, width of 400 ft of the fencing will minimize the cost.

Upon substituting W=400 in L=\frac{80,000}{W}, we will get:

L=\frac{80,000}{400}\\\\L=200

Therefore, the side parallel to the river will be 200 feet.

4 0
3 years ago
Thanks for your response!<br> Question will be show✔
algol13
<h3>Answer:</h3>

\large\boxed{-1\frac{16}{25},\,\frac{6}{40},\,0.35,\,1\frac{3}{4}}

<h3>Step-by-step explanation:</h3>

In this question, it's asking you to put the numbers that were given from <em>least </em>to <em>greatest.</em>

Our given numbers are:

  • \frac{6}{40}
  • 0.35
  • 1\frac{3}{4}
  • -1\frac{16}{25}

Now, lets sort them out.

We know that negative numbers would be the least. Sicne there's only one negative number, we would put that first because it's the least out of the numbers.

\frac{6}{40} would go next. To make it easier, we can turn it into a decimal. \frac{6}{40} = 0.15 when you divide.

0.35 will go next. This would be bigger than 0.15, but lower than the next number.

1\frac{3}{4} would go last, due to the fact that it's the greatest. 1\frac{3}{4} is the same as 1.75

When you put them in order, you should get -1\frac{16}{25},\,\frac{6}{40},\,0.35,\,1\frac{3}{4}

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
4 0
3 years ago
1. Evaluate 3y - 4 for y =5
irina1246 [14]

Answer:

1. Evaluate 3y - 4 for y =5

3*(5)-4=15-4=11

2. 65 + x = 99 x = ?

65+x=99

x=99-65

x=34

3. Find the product. 38.7 *21

38.7*21=812.7

4. Which value satisfies the equation? 9x + 3 = 30

The right value for x would be:

9x+3=30

9x=30-3

9x=27

x=27/9=3

Step-by-step explanation:

3 0
3 years ago
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