MATHEMATICS HIGH SCHOOL

Three sides of a triangular field are of lengths 10 m, 20 m and 15 m respectively. Find the cost of fencing the field at the rate of Rs 25 per m.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Length of fence = Perimeter of triangle

= 10 + 20 + 15

Length of the fence = 45 m

Cost of fencing per meter = Rs. 25

Cost of fencing 45 m = 25 * 45

= Rs. 1125

Answer 2

Answer:

$\huge{\fbox{\fbox{Given:}}}$

Lengths of the three sides of triangle are 10m,20m and 15m.

Length of the fence =

Perimeter of the ∆

$(10 + 20 + 15)m \n = 45m$

$\large{\fbox{\gray{Cost \: of \: fencing \: the \: field=}}}$

$45 * 25 = Rs1125$

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Situation: a 25 gram sample of a substance that’s used for drug research has a K-value of 0.1205N0(zero)= initial mass(at time t=0)
N= mass at time t
K= a positive constant that depends on the substance itself and on the units used to measure time
t= time, in days
Find the substances half-life, in days. Round your answer to the nearest tenths????

Answers

The decay model is given as

$N=N_0e^(-Kt)$

The substance's half-life is the time it takes for the substance to decay to half its original amount. In other words, it's the time $t$ such that $N=\frac{N_0}2$ . Substituting into the model, you have

$\frac12=e^(-Kt)$

You can solve for $t$ now.

$\frac12=e^(-Kt)$
$\implies\ln\frac12=\ln e^(-Kt)$
$\implies-\ln2=-Kt\ln e$
$\implies\frac{\ln2}K=t\approx5.7523\text{ days}$

The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line:Profit = 372.6 + 17.2(advertising dollars)
What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

Given:
Profit = 372.6 + 17.2(advertising dollars)
advertising dollars = 1,020
profit = 17,500

Profit = 372.6 + 17.2(advertising dollars)

We'll just input the amount specified in the equation.
17,500 = 372.6 + 17.2 (1020)
17,500 = 372.6 + 17,544
17,500 = 17,916.60

As you can see, the values do not equal. Its difference is the residual value.

17,916.60 - 17,500 = 416.60 residual value

Rewrite 13 over 9 as a mixed number

Answers

Answer: 1 and 4/9

Explanation: To write 13/9 as a mixed number, we divide 9 into 13.

9 divides into 13 once so we put a 1 above the 3.

1 x 9 is 9 and 13 - 9 is 4.

So 9 divides into 13 one time with a remainder of 4.

This means that 13/9 can be rewritten as the mixed number 1 and 4/9.

The answer would be 1 and 5/10 because if you divide 13 by nine you get 1.4 which translates to 1 and 4/10. And you can reduce 4/10 by 2 making it 2/5. As a result, your final answer will be 1 and 2/5.

On Monday, a deli takes 250 orders. Of these, 144 are carry-out orders. On Tuesday, it takes 220 orders. Of these, 125 are carry-out orders. Which day has the greater fraction of carry-out orders?

Answers

Answer:

The answer is Monday.

Step-by-step explanation:

You can use simple division to figure out that Monday has the higher amount of orders.

Answer:

Monday.

Step-by-step explanation:

On Monday, there were 250 total orders
Of those, 144 were carry-out orders
So the fraction of carry-out orders on Monday is 144/250 = 0.576
On Tuesday, there were 220 total orders
Of those, 125 were carry-out orders
So the fraction of carry-out orders on Tuesday is 125/220 = 0.568
0.576 is greater than 0.568

Therefore, the greater fraction of carry-out orders was on Monday.

Maya bought 8 chicken wings for $8.80. If Maya spent $25.30, how many chicken wings did she buy?

Answers

Answer:

She bought 23

Step-by-step explanation

Divide $8.80 by 8 take that and multiply it by 23 and you get $25.30

She naught 23 because if you divide 8.80 by 8 you get 1.1 which is the price of the wing then you divide 25.30 by 1.1 which gives you 23

Which expression is equivalent to 15 + 6x?

Answers

Answer:

Step-by-step explanation:

The expression 15 + 6x can be simplified further. The term 15 is a constant because it does not contain a variable. On the other hand, 6x is a variable term because it contains the variable x.

To simplify the expression, you can combine like terms by adding or subtracting the coefficients of the variable terms. In this case, you can't combine 15 and 6x because they are not like terms.

Therefore, the expression 15 + 6x is already simplified and does not have an equivalent expression. It represents the sum of 15 and 6 times x.

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