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S_A_V [24]
3 years ago
7

Jorge is one year younger than his brother. The sum of their ages is no less than 25 years. What is the youngest age Jorge's bro

ther can be?
Mathematics
2 answers:
blagie [28]3 years ago
7 0
The answer you're looking for is 13
goblinko [34]3 years ago
5 0

Answer:

Age of Jorge is 13 years and his brother is 12 years.

Step-by-step explanation:

Jorge is one year younger than his brother.

The sum of their ages is no less than 25 years.

Let the age of Jorge be x

Therefore, age of Jorge's brother = (x-1)

x + (x-1) > 25

2x - 1 > 25

2x > 25 + 1

2x > 26

x > 13

His brother = 13 - 1 = 12 years

Age of Jorge is 13 years and his brother is 12 years.

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Two kilograms of ground cinnamon is packaged into bags containing 38 g each . There will also be some cinnamon left over . How m
Kobotan [32]

Answer:

52

Step-by-step explanation:

2 kg is the same as 2000 g.

2000 g / 38 g = 52.6

There will be 52 bags (with some cinnamon left over).

5 0
3 years ago
Suppose a sample of 716 suspected criminals is drawn. Of these people, 286 were captured. Using the data, estimate the proportio
tamaranim1 [39]

Answer:

The proportion is p = 0.399

Step-by-step explanation:

The estimate of a proportion is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

286 people captured, so D = 286.

Total outcomes:

Sample of 716 suspected criminals, so T = 716.

Proportion

p = \frac{286}{716} = 0.399

5 0
3 years ago
How many degrees does a wheel turn in one complete rotation
lara [203]

Answer:

360 degrees

Step-by-step explanation:

If a wheel turns all the way around, or one complete rotation then it is 360 degrees

4 0
3 years ago
Read 2 more answers
What is the answer for 6.8 6.9 6.10
Dafna1 [17]
6.11

see- .8 .9 .10 so its .11
6 0
3 years ago
A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the
Kay [80]

Answer:  The required number of quarters in the collection is 11.

Step-by-step explanation:  Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05,   1 dime = $ 0.10   and    1 quarter = $0.25.

Then, according to the given information, we have

x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)

and

y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Comparing the values of y from equations (iv) and (v), we get

47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.

Thus, the required number of quarters in the collection is 11.

7 0
3 years ago
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