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3 years ago

Can someone please help me Please I'm desperate

Mathematics

2 answers:

Yuri [45]3 years ago

4 0

Answer:

James is 37, Rob is 44, and Kate is 35

Step-by-step explanation:

Set up an equation where x is James' age:

Rob's age can be represented by x + 7, since he is 7 years older than James

Kate's age can be represented by x - 2, since she is 2 years younger than James

Add these together in the equation and set it equal to 116:

(x + 7) + (x - 2) + (x) = 116

Add like terms and solve for x:

(x + 7) + (x - 2) + (x) = 116

3x + 5 = 116

3x = 111

x = 37

So, James is 37.

Find Rob's age by adding 7 to this:

37 + 7

= 44

Find Kate's age by subtracting 2:

37 - 2

= 35

So, James is 37, Rob is 44, and Kate is 35

Veronika [31]3 years ago

4 0

Answer:

Rob = 44

Kate = 35

James = 37

Step-by-step explanation:

Rob = 44 which is 7 years older than James

Kate = 35 which is 2 years younger than James

James = 37

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3 years ago

A store sold 70 hammers and ranchers Hammer sold for $10 each in French so for five dollars each a total of 600.00 what's the co

MrMuchimi

Answer:

50 hammers and 20 wrenches.

Step-by-step explanation:

Let x represent number of hammers and y represent number of ranchers.

We have been given that a store sold 70 hammers and ranchers. We can represent this information in an equation as:

$x+y=70...(1)$

We are also told that each hammer sold for $10 and each rancher sold for five dollars resulting a total of 600.00. We can represent this information in an equation as:

$10x+5y=600...(2)$

From equation (1), we will get:

$x=70-y$

Substituting this value in equation (2), we will get:

$700-10y+5y=600$

$700-5y=600$

$700-700-5y=600-700$

$-5y=-100$

$\frac{-5y}{-5}=\frac{-100}{-5}$

$y=20$

Therefore, 20 wrenches were sold.

Now, we will substitute $y=20$ in equation (1) as:

$x+20=70$

$x+20-20=70-20$

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Therefore, 50 hammers were sold.

5 0

3 years ago

How many duckling were swimming at the pond?

EleoNora [17]

Answer:

There are 20 ducklings.

Step-by-step explanation:

For every group of 6 ducks, 5 would be ducklings.

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3 years ago

If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)

Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: $1000 * 1.08^1 = \$1080$

2nd year: $1000 * 1.08^2 = \$1166.4$

3rd year: $1000 * 1.08^3 = \$1259.71$

4th year: $1000 * 1.08^4 = \$1360.49$

5th year: $1000 * 1.08^5 = \$1469.33$

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

$(1000*1.08^n)^{'} = 1000ln(n)*1.08^n$

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

$(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n$

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0

4 years ago