All categories

3 years ago

En 16 años, Juan tendrá 3 veces la edad que José tiene ahora. Indica qué planteamientos son correctos.

Mathematics

1 answer:

ladessa [460]3 years ago

5 0

Answer:

La edad de Juan en este momento

= [3 × (La edad de José en este momento)] - 16

Juan's age right now = [3×(Jose's age right now)] - 16

Step-by-step explanation:

Deje que la edad de José en este momento sea x.

Entonces la edad de Juan ahora es y.

En 16 años,

La edad de José = x + 16

Edad de Juan = y + 16

En 16 años, Juan tendrá 3 veces la edad que tiene José ahora

(y + 16) = 3x

Entonces, la edad de Juan ahora y la relación correcta entre las edades de Juan y José en este momento es y = 3x - 16

¡¡¡Espero que esto ayude!!!

English Translation

In 16 years, Juan will be 3 times the age that José is now. Indicate which approaches are correct.

Solution

Let José's age right now be x.

Then Juan's age right now be y.

In 16 years time,

Jose's age = x + 16

Juan's age = y + 16

In 16 years, Juan will be 3 times the age that José is now

(y + 16) = 3x

So, Juan's age now and the correct relationship between Juan and Jose's ages right now is

y = 3x - 16

Hope this Helps!!!

You might be interested in

How to write the linear function passing through the points (3,-5) and (-8,-5)

enot [183]

Check the pictrue below.

8 0

3 years ago

Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

Solution:

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0

3 years ago

The drawing shows Seth's plan for a fort in his backyard. Each unit square is 1 square foot.

barxatty [35]

Dyjfuncufgysfsrsycyfydtxyyfyd

7 0

3 years ago

In the school library, there is 28 fiction items to every three non-fiction items. which is the best estimate of how many total

Tresset [83]

Answer:

there will be 537 items in the library

Step-by-step explanation:

6 0

3 years ago

How would I use factoring to write equivalent expressions for the following expressions?

Sedbober [7]

Answer:

4(a + 6)

3(x - 4)

Step-by-step explanation:

Factoring is just rewriting an expression into the parts that multiply together to make the original...like if I had a 100 but decided instead to write 4×25 or if I had 25x I wrote 5(5x) .

If you look at your

4a + 24

You're looking for whatever is the same in both pieces (the 4a and also the 24) So there is a 4 in 4a and there is also a 4 "in" 24 (as in 4×6 is 24)

So if you pull out that 4 and throw it up front, whatever is left behind goes into a pair of parentheses.

4 (____ + ____)

4(a + 6)

This is your factored form bc if you multiply that 4 back in you'll get the original expression back again.

4a + 24

= 4(a + 6)

It's like factoring is "un-distributive" property.

Theres a 3 in 3x and also in 12

3x - 12

= 3(x - 4)

6 0

2 years ago