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inna [77]
3 years ago
12

Simplify the expression 6:3x4

Mathematics
1 answer:
Nastasia [14]3 years ago
7 0

Answer:

8

Step-by-step explanation:

6:3=2

six divided by three equals four (hence the ratio)

2*4=8

two times four equals eight.

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The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b
masha68 [24]

Answer:

The fraction is \frac{4}{6}

Option (B) is correct.

3n-2d=0  and 4n+8=3d+6

Step-by-step explanation:

Let n denotes numerator and d denotes denominator of the fraction.

Given : The ratio of the numerator to the denominator of a fraction is 2 to 3.

That is \frac{n}{d}=\frac{2}{3}

Cross multiply , we get,

3n=2d

Or, 3n-2d=0   ........(1)

Also, given : . If both the numerator and the denominator are increased by 2, the fraction becomes 3/4

That is \frac{n+2}{d+2}=\frac{3}{4}

Cross multiply , We get,

4{n+2}={3}{d+2}

4n+8=3d+6  .........(2)

3d-4n=2  .......(3)

Thus, from (1) and (2) , option (B) follows.

Solving equation (1) and (3) to get the original fraction using elimination method,

3n - 2d = 0    ............(1)

and 3d - 4n = 2       .........(3)

Multiply equation (1) by 3 , we get ,

9n - 6d = 0  ..........(4)

Multiply equation (3) by 2 , we get ,

-8n + 6d = 4 ..........(5)

Adding (4) and  (5) , we get,

9n - 6d -8n + 6d = 4 + 0

⇒ n = 4

Put n = 4 in (1), we get

3n - 2d = 0 ⇒ 3(4) - 2d = 0 ⇒ 12 -2d = 0  ⇒  12 = 2d ⇒ d = 6

so, the numerator is 4 and  the denominator is 6.

Thus, the fraction is \frac{4}{6}


6 0
3 years ago
A family wants to rent a car to go on vacation. Company A charges $45.50 and 11c per mile. Company B charges $60.50 and 13c per
Maslowich

Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

Step-by-step explanation:

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x  (Number of miles)

Given:

For Company A ,

Flat charge= $45

Charge per mile =  11 cents  = 0.11   [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]

Total charge = 45+0.01x

For Company B,

Flat charge= $60.50

Charge per mile =  13 cents  = 0.13

Total charge = 60.50+0.13x

Difference in charge = Charge for company B -  Charge for company A

= 60.50+0.13x-(45+0.01x)

= 15.5+0.12x

Hence,  Company B charges $(15.5+0.12x) more for x miles than company A.

7 0
3 years ago
*WILL GIVE BRAINLIEST*
tia_tia [17]

Answer:

c. is the answer

Step-by-step explanation:

iyxxtotdtododtxtiftiicggix

3 0
3 years ago
Given: a = 9, c = 5, B = 120 <br><br> b=
Zinaida [17]
B = 120 because it is in your sum
6 0
3 years ago
Factor completely or identify as prime.
SSSSS [86.1K]

Answer:

Factor the polynomial

C. (p-3) (4p+5) (4p-5)


7 0
3 years ago
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