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svetoff [14.1K]
3 years ago
12

The numerator of a fraction is 15 less than twice its denominator. If the numerator is increased by 5 and the denominator is inc

reased by 7, the new fraction will be equal to 2/3. What is the original fraction?
Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

  7/11

Step-by-step explanation:

Let d represent the original denominator. Then the original numerator is ...

  2d-15

The new numerator is ...

  (2d-15) +5

and the new denominator is ...

  d+7

The ratio of these is 2/3, so we have ...

  \dfrac{2d-15+5}{d+7}=\dfrac{2}{3}\\\\3(2d-10)=2(d+7) \quad\text{cross multiply}\\\\4d=44 \quad\text{add 30-2d}\\\\d=11\\\\2d-15=2(11)-15=7

The original fraction is 7/11.

You might be interested in
What are two equivalent ratios for 8/9
Georgia [21]
(16/18)
(24/27)

You just times 8 and 9 by the same number, like:
(8•2/9•2)=(16/18)
(8•3/9•3)=(24/27)

You could do any number:
(8•100/9•100)=(800/900)

8 0
4 years ago
£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?
seraphim [82]

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

4 0
3 years ago
ASAP!! What is the parabola’s line of symmetry? <br> y-axis <br> x-axis <br> x = p <br> x = -p
Nat2105 [25]

Answer:

y-axis

Step-by-step explanation:

..................

3 0
3 years ago
27=6x+3(-3x+15<br> ????????
aalyn [17]

combine your like terms and get x by its self

3 0
3 years ago
A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se
nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

<em>First product details:</em>

Unit volume = 10 cu ft

Weight of one unit = 50 lb

<em>Second product details:</em>

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = x

Let number of units of second product = y

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow  5x+4y = 2160...... (2)

Multiplying equation (2) with 2 and subtracting equation (1) from it:

8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}

By equation (1):

10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0
3 years ago
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