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3 years ago

Someone help me please

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

5 0

The answer is 2.5 or b/5

HACTEHA [7]3 years ago

4 0

Answer:

2.5 or 5/2

Step-by-step explanation:

The formula for the area of a triangle is \dfrac{bh}{2}, where b represents the length of the base and h represents the length of the height. With this in mind, you can set up the following equation:

$\dfrac{15}{8}=\dfrac{1.5b}{2}$

$\dfrac{15}{4}=1.5b$

b=2.5 or $\frac{5}{2}$

Hope this helps!

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3(x - 4) = -3. Solve for x.

marshall27 [118]

Answer:

x = 3

Step-by-step explanation:

3(x - 4) = -3

Divide by 3

3/3(x - 4) = -3/3

x-4 = -1

Add 4 to each side

x-4+4 = -1+4

x = 3

6 0

2 years ago

Read 2 more answers

Given that 'n' is a natural number. Prove that the equation below is true using mathematical induction.

LenaWriter [7]

<h3>To ProvE :- </h3>

1 + 3 + 5 + ..... + (2n - 1) = n²

Method :-

If P(n) is a statement such that ,

P(n) is true for n = 1
P(n) is true for n = k + 1 , when it's true for n = k ( k is a natural number ) , then the statement is true for all natural numbers .

$\sf\to \textsf{ Let P(n) : 1 + 3 + 5 + $\dots$ +(2n-1) = n$^{\sf 2}$ }$

Step 1 : Put n = 1 :-

$\sf\longrightarrow LHS = \boxed{\sf 1 } \\$

$\sf\longrightarrow RHS = n^2 = 1^2 = \boxed{\sf 1 }$

Step 2 : Assume that P(n) is true for n = k :-

$\sf\longrightarrow 1 + 3 + 5 + \dots + (2k - 1 ) = k^2$

Add (2k +1) to both sides .

$\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+(2k+1)=k^2+(2k+1)$

RHS is in the form of ( a + b)² = a²+b²+2ab .

$\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+(2k+1)= (k +1)^2$

Adding and subtracting 1 to LHS .

$\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+(2k+1) + 1 -1 = (k +1)^2 \\$

$\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+(2k+2) - 1 = (k +1)^2$

Take out 2 as common .

$\sf\longrightarrow 1 + 3+5+\dots+(2k-1)+\{2(k+1)-1\}= (k +1)^2$

P(n) is true for n = k + 1 .

Hence by the principal of Mathematical Induction we can say that P(n) is true for all natural numbers 'n' .

**Edits are welcomed**

8 0

2 years ago

Read 2 more answers

Jack's Lumber Yard receives 8,000 large trees each period that it subsequently processes into rough logs by stripping off the tr

nasty-shy [4]

Answer:

1. $3,960,000

2. $3,840,000

3. Sell the logs.

Step-by-step explanation:

The questions are incomplete:

1. What is the contribution to income from selling the logs for log cabin construction?

2. What is the contribution to income from processing the logs into lumber?

3. Should Jack’s continue to sell the logs or process them further into lumber?

1. The contribution income is the total income generated by the sales of the rough logs. Each one contributes with $495.

Contribution to income (log cabin construction) = $495*8,000 = $3,960,000

2. In this case, we have to calculate what is the profit after processing each board, then multypling by the amount of boards per log and lastly multiplying by the total amoun of logs.

Contribution to income (processed board) = $(0.75-0.15)*800*8000

Contribution to income (processed board) = $0.6*800*8000

Contribution to income (processed board) = $480*8000 = $3,840,000

3. Jack should continue to sell logs for cabin construction because the profit per log is higher than for the processed board ($495/log versus $480/log).

4 0

2 years ago

WHat is the sum of the rational expressions below 3x+1/2x+7x/x+5

Harlamova29_29 [7]

3x+1/2x+7x/x+5=
Answer is 17x^2+16x+5/2x^2+10x
Workup in photo below

5 0

2 years ago

2+2=? What does it equal

Oxana [17]

Answer:

Step-by-step explanation:

2 + 2 = 4