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meriva
3 years ago
9

Find the sum 2 2/3 + 1 3/5=

Mathematics
1 answer:
Schach [20]3 years ago
7 0
2 2/3 + 1 3/5
= 2 10/15 + 1 9/15
= 3 19/15
= 4 4/15

answer is 4 4/15 (4 and 4/15)

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Kane is training for a marathon. He starts by running 3 miles during every training session.
Masja [62]

Answer:

1/4w + 3 the answer has to be 20 characters long so ignore this

5 0
3 years ago
The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh
postnew [5]

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0
1 year ago
There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp
Mariana [72]

Answer:

  1. <em> 15</em>
  2. <em> 42,250</em>

Step-by-step explanation:

The given function is,

P=40000+300x-10x^2

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at \left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)

The value of the function will be maximum at,

x=-\dfrac{b}{2a}

Putting the values,

x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

P=40000+300(15)-10(15)^2=42,250

4 0
3 years ago
A pair of shoes usually sells for $57. If the shoes are 20% off, and sales tax is 6%, what is the total price of the shoes, incl
34kurt
I comes out to be C, $48.34
8 0
3 years ago
Estou viajando de São Paulo a Porto Alegre, cujo percurso total tem 1600 km, aproximadamente. Se já percorri 80% do percurso, qu
maksim [4K]

Answer:Resposta:100% = 140075% = x100x = 75 * 1400100x = 105000x = 105000/100x = 1050 Km ... will you go out with me

Step-by-step explanation:

4 0
2 years ago
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