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kompoz [17]
3 years ago
8

Twelve years ago, Jane was five times as old as Anne. In three years' time, Anne will be half Jane's

Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Answer:

Jane: 37 years old

Anne: 17

Step-by-step explanation:

Jane 12 years ago: 5x

Anne 12 years ago: x

In three years into the future:

Jane: 5x+15

Anne: x+15

CURRENT TIME:

Jane: 5x+12

Anne: x+12

Equation (using 3 years into the future ages): 5x+15=2(x+15)

5x+15=2x+30

(subtract 15 from both sides)

5x=2x+15

3x=15

x=5

Therefore, Jane is 37 years old and Anne is 17 years old.

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Solve (2x-1/4)+(x/3)=2<br> Please provide a step by step with explanation
andrew11 [14]

Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

3 ( 2x - 1) + 4x = 24

Step 2: Distribute.

6x - 3 + 4x = 24

Step 3: Collect like terms.

6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)

10x = 27

Step 4: Solve for x.

Multiply both sides by 10.

10x / 10 = 27 / 10 (the 10 cancels out)

x = 27 / 10 or x = 2.7

Answer: x = 27 / 10 or x = 2.7

7 0
2 years ago
20 points please help i’ll LOVE YOU
ANTONII [103]
I don’t know I’m doing something like that and I need help
5 0
3 years ago
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Evaluate the following expression (a + b)^0
elixir [45]

Answer:

So, (a + b)^0=1

Step-by-step explanation:

(a + b)^0

To evaluete this expression we apply exponential property

x^0=1

IF any expression has exponent 0 then the value is 1 always

for example, 3^0 =1

5^0=1

(x+2)^0=1 because exponent is 0

So, (a + b)^0=1

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3 years ago
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Gina bought 2.5 pounds of peaches that cost $1.38 per pound at the grocery store. Amy went to the local farmer’s market and purc
patriot [66]
Gina spent $3.45 in total. amy spent $3.43 in total. so gina spent more money and she spent 2 cents more
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3 years ago
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Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(
zavuch27 [327]

Given:

The parent absolute function is

f(x)=|x|

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

g(x)=kf(x+a)+b                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

g(x)=3f(x+0)+5

g(x)=3f(x)+5

g(x)=3|x|+5       [\because f(x)=|x|]

Therefore, the correct option is D.

5 0
3 years ago
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