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3 years ago

Verify the identities by working down one side of the identity or the other, or both sides of the identity.

Mathematics

1 answer:

faust18 [17]3 years ago

5 0

Answer: Photo math will do it in 2.5 secon

Step-by-step explanation:

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A farmer raises only ducks and pigs. There are 55 animals in all on his farm, and 146 legs.

nordsb [41]

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55 Eqn 1

2x+4y=146 Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110 Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

$\frac{2y}{2}=\frac{36}{2}\\y=18$

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18

8 0

3 years ago

State the postulate or theorem that proves that the triangles are congruent. If the triangles cannot be proven congruent, write

Ivenika [448]

I dont know :(

i actually tried it but im not good with that :)

8 0

3 years ago

Two fifths of the senior class earned a grade of B+ or higher on an advanced mathematics exam. If 42 seniors scored at least a B

g100num [7]

Answer:

Step-by-step explanation:

its is 105

5 0

3 years ago

Read 2 more answers

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

3 years ago

the sum of the recipocal of two consecutive even number is 7/24.one number is 6.the other number will be

coldgirl [10]

Answer:

Step-by-step explanation:

The numbers are 6 and 2x, then:

1/6 + 1/(2x) = 7/24
1/3 + 1/x = 7/12
(x+3)/(3x) = 7/12
12(x+3) = 7*3x
12x + 36 = 21x
21x - 12x = 36
9x = 36
x = 4

The other number is 2*4 = 8

6 0

4 years ago