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3 years ago

Solve the following story problem.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

8 0

Answer:

The perimeter of a rectangle is equal to 2L + 2W, where L = the length of the rectangle and W = the width of the rectangle. So, one equation is

2L + 2W = 60

From the info given in the problem, we also know that L = 4W. Therefore, we can use the Substitution Method to re-write the first equation as:

4W + 2W = 60

You should be able to solve this equation for W. Once you find W, you can then calculate L.

Step-by-step explanation:

You might be interested in

Suppose a package delivery company purchased 17 trucks at the same time. Six trucks were purchased from manufacturer A, five fro

yaroslaw [1]

Answer:

$df_{den}=df_{between}=N-K=17-3=14$ .

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $3$ groups (A,B,C) and on each group we have sample of size (6,5,6) respectively , on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

The degrees of freedom for the numerator on this case is given by $df_{num}=df_{within}=k-1=3-1=2$ where k =3 represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-K=17-3=14$ .

And the total degrees of freedom would be $df=N-1=17 -1 =16$

On this case the correct answer would be 2 for the numerator and 14 for the denominator.

Best answer

4 0

3 years ago

Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal

lara [203]

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years $= x(1+0.05)^{2}\cdots(i)$

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years $= (82000-x)(1+0.05)^{3}\cdots(ii)$

As both the amounts are equal, so from equation (i) and (ii)

$x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\$

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

4 0

2 years ago

In a certain lottery, an urn contains balls numbered 1 to 26. From this urn, 6 balls are chosen randomly, without replacement

expeople1 [14]

Answer:

\frac{1}{230230}

Step-by-step explanation:

Given that in a certain lottery, an urn contains balls numbered 1 to 26

From this urn, 6 balls are chosen randomly, without replacement.

Bet amount 1 dollar and he selects a set of six numbers.

If these match with those chosen from the urn he wins (order does not matter)

Total ways of choosing 6 out of 26 = $26C6 = \frac{26!}{20!6!} \\=230230$

The way he selects = 1

Hence probability of winning = $\frac{1}{230230}$

with one ticket

4 0

3 years ago

The matrix method is being used to solve the system of equations x + 2y = 4 and 3x - y = 6.

Ira Lisetskai [31]

Answer: b) multiply row 1 by -3 and add the result to row 2

Step-by-step explanation:

8 0

3 years ago

9x+8y=6<br>-7x=14<br>what is the system of equation by elimination?

Pavlova-9 [17]

9x-7x= 2x
because both are x's now u cant add nor subtract anything to Y so just leave it alone but u can add 6+14

2x+8y=20

5 0

3 years ago