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Setler79 [48]
3 years ago
7

Diana has 18 apples more than Roberto. Together, Diana and Roberto's apples are 48. How many apples does each have?​

Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0

Answer:

Diana has 33 and Roberto has 15.

Step-by-step explanation:

Use D for the amount of apples Diana has and R for Roberto

D=R+18

D+R=48

Use Substitution to solve the system of Equations

R+18+R=48 ----> 2R+18=48- Subtract 18

2R=30- DIvide by 2

R=15

Substitute R into another equation

D=R+18

D=15+18

D=33

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Se deposita 4000 soles a una tasa de interés del 0,8% quincenas .¿Que interes producirá en cinco quincenas?
katen-ka-za [31]

Answer:

Interes= 162,58

Step-by-step explanation:

Dada la siguiente información:

Se deposita 4000 soles a una tasa de interés del 0,8% quincenas

<u>Primero, debemos calcular el valor final de la inversión:</u>

VF= [VP*( 1 + i)^n]

VF= 4.000*(1,008^5)

VF= 4.162,58

<u>Para calcular el interés ganado en 5 quincenas, debemos usar la siguiente formula:</u>

Interes= 4.162,58  - 4.000

Interes= 162,58

5 0
3 years ago
Sam is 6 years older than marlon. The sum of their ages is 30. Find Sam and marlons age.
Triss [41]

Answer:

Sam = 18 and Marlon = 12

Step-by-step explanation:

If Sam is 6 years older but added is 30 then Sam could 18 and Marlon 12.

6 0
3 years ago
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-2(x + y)2 for for x =-3, y = 2 with steps
svlad2 [7]

Step-by-step explanation:

-2(-3+2)2

(-2×-3)+(-2×2)2

(6-4)2

2(6-4)

(2×6)+(2×-4)

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6 0
3 years ago
A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .
Eduardwww [97]

Answer:  \bold{S_{\infty}=\dfrac{3125}{2}=1562.5}

<u>Step-by-step explanation:</u>

  a₁,  375,  a₃,   a₄,  81

First, let's find the ratio (r). There are three multiple from 375 to 81.

375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}

Next, let's find a₁

a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}

7 0
3 years ago
Someone tell me the answer and how y’all day been
Aloiza [94]

Answer:

I believe it is e.

Step-by-step explanation:

2/5 equals 0.4, which is the same as 0.40

4 0
3 years ago
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