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3 years ago

12

Initially, the ratio of Alex’s toy cars to Pete’s toy cars was 7:3. After Alex gave 20 toy cars to Pete, they had each an equal

number of cars. How many toy cars did they have altogether?

2 answers:

Anna35 [415]3 years ago

6 0

pete 23 cars alex 23 alex gains 16 cars then 23 plus 23 equals 46

Setler [38]3 years ago

3 0

Answer:

100

Step-by-step explanation:

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What is the solution to this equation?

joja [24]

Answer:

A

Step-by-step explanation:

Given

8 - 2x + 6x = 24 , that is

8 + 4x = 24 ( subtract 8 from both sides )

4x = 16 ( divide both sides by 4 )

x = 4 → A

4 0

3 years ago

Find the first term and the common ratio <br>third term =6 and seventh term= 96

mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

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3 years ago

Explain what exponential growth is please

aniked [119]

A funtion in whicb the dependent variable increases by the same factor over each unit of time

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3 years ago

Find the common ratio and the explicit formula <br><br>-3, 9, -27, 81,

Fofino [41]

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

$a_{n}\\$ = a $(r)^{n-1}$

where re a is the first term and r the common ratio

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio

and a = - 3, thus

[te x]a_{n}[/tex] = - 3 $(-3)^{n-1}$ ← explicit formula

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3 years ago

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yanalaym [24]

Compound interest. (I think)

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3 years ago