4 times the difference of a number and 2 is 13

i have 30 coins, all nickels, dimes and quarters, worth $4.60. there are two more dimes than quarters.. how many of each kind of

Oliga [24]

Answer:

Step-by-step explanation:

I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes than quarters. How many of each kind of coin do I have.

..

let quarters be x

dimes = x+2

...

dimes + quarters = x+x+2=2x+2

...

nickels = 30-(2x+2)

...

5(30-(2x+2))+10(x+2)+25x=460

5(30-2x-2)+10x+20+25x=460

150-10x-10+10x+20+25x=460

160+25x=460

-160

25x=460-160

25x=300

/25

x=300/25

x=12 ---- quarters

x+2= 12+2=14 dimes

30-(2x+2)=4 nickels

...

check

4*5+14*10+12*25=20+140+300=460

4 0

2 years ago

You want to install a pathway around a rectangular garden that is equal width all the way around.the area of the new pathway wil

Aleks04 [339]

It's 96 the answer b/c you have to multiply it

8 0

4 years ago

The buying rate and selling rate of a Australian dollar in a bank are rs 80.20and rs 81.40respectively how much Australian dolla

olya-2409 [2.1K]

Answer:

5000 Australian Dollars

Step-by-step explanation:

To find out how many Australian dollars need to be sold, we first need to find the profit of a single dollar sold.

We will be using the formula for profit, which is:

Profit = Total Revenue - Total Cost

Now we define the available variables.

Total Revenue = 81.40

Total Cost = 80.20

Profit = 81.40 - 80.20

Profit = rs 1.20/dollar

Now we have to find how many dollars we have to sell to get a profit of rs 6000.

We simply divide the amount of profit that we want to the price per dollar.

Total Profit = 6000

Profit per dollar = 1.20

This give us:

6000 / 1.20 = 5000 Australian Dollars.

4 0

3 years ago

Write your answer for y.

Nonamiya [84]

Answer:

The coordinates of Y' will be: A'(4, -3)

Step-by-step explanation:

Triangle XYZ with vertices

X(-5, -2)

Y(-3, 4)

Z(-1, 1)

We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.

We know that when P(x, y) is reflected in y = x, we get P'(y, x)

i.e.

The rule of y=x:

P(x, y) → P'(y, x)

As we are given that Y(-3, 4), so the coordinates of Y' will be:

A(-3, 4) → A'(4, -3)

Therefore, the coordinates of Y' will be: A'(4, -3)

4 0

3 years ago

considering the leading term of the polynomial function. what is the end behavior of the graph? describe the end behavior and pr

mario62 [17]

The leading term of polynomial function is the the term contain highest degree so here in the given question leading term is $-3x^5$

and leading coefficient is the coefficient of the term with greatest exponent -3

RULES for End behaviour

we have following four cases

CASE1: Even degree and positive leading coefficient

$x\rightarrow -\infty$ $f(x)\rightarrow \infty$

$x\rightarrow \infty$ $f(x)\rightarrow \infty$

CASE2: Even degree and negative leading coefficient

$x\rightarrow -\infty$ $f(x)\rightarrow -\infty$

$x\rightarrow \infty$ $f(x)\rightarrow -\infty$

CASE3: Odd degree and positive leading coefficient

$x\rightarrow -\infty$ $f(x)\rightarrow -\infty$

$x\rightarrow \infty$ $f(x)\rightarrow \infty$

CASE4: Odd degree and negative leading coefficient

$x\rightarrow -\infty$ $x\rightarrow \infty$

$x\rightarrow \infty$ $f(x)\rightarrow -\infty$

Here in the given case we have odd degree and negative leading coefficient

$x\rightarrow -\infty$ $x\rightarrow -\infty$

$x\rightarrow \infty$ $f(x)\rightarrow -\infty$

3 0

3 years ago