Ask question

Ask question

All categories

Natali5045456 [20]

3 years ago

5

Jack's living room is 16 feet. By 20 feet long if a scale drawing of his living room uses a scale of 3/4 inches = 6feet ,find th

e demention of his living room on the drawer

1 answer:

DENIUS [597]3 years ago

7 0

Answer:

The dimension of the drawer is 2 inches by 2.5 inches

Step-by-step explanation:

Here, we want to find the dimension of the living room

Mathematically, the scale to be used is;

3/4 inches to 6 feet

So let’s calculate the dimensions now;

3/4 inches is 6 feet

x inches will be 16 feet

3/4 * 16 = 6 * x

12 = 6x

x = 12/6 = 2 inches

For the 20 feet;

3/4 inches = 6 feet

x inches = 20 feet

3/4 * 20 = 6 * x

6x = 15

x = 15/6

x = 5/2 = 2.5 inches

You might be interested in

Alexxandr [17]

Both

1 times a=a
and
b times 0=0

3 0

3 years ago

Read 2 more answers

Can someone help me with this Im not sure if My answer is correct

sergeinik [125]

Answer:

y = 2x - 3

Yes, your answer is correct.

Step-by-step explanation:

First, find the slope of the two points by using the slope formula:

y2 - y1

m = -------------

x2 - x1

13 - 5

m = -------------

8 - 4

8

m = ------- = 2

4

To find the y-intercept, plug in values into the slope-intercept formula:

y = mx + b

Where m = slope and b= y-intercept. Use any one of the points. I'll be using (4,5):

5 = (2) (4) + b

5 = 8 + b

-3 = b

b = -3

So, putting everything into the slope intercept formula:

y = 2x - 3

4 0

3 years ago

The first 5 terms of a sequence are shown below:

slamgirl [31]

Answer:

c: -7

Step-by-step explanation:

7 0

3 years ago

You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod

lorasvet [3.4K]

Answer:

a. $y=830*(0.87)^x$

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

$13\%=\frac{13}{100}=0.13$

Upon substituting our given values in exponential decay function we will get

$y=830*(1-0.13)^x$

$y=830*(0.87)^x$

Therefore, the exponential model $y=830*(0.87)^x$ represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

$y=830*(0.87)^2$

$y=830*0.7569$

$y=628.227\approx 628.23$

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be $\frac{830}{2}=415$ .

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

$415=830*(0.87)^x$

Upon dividing both sides of our equation by 830 we will get,

$\frac{415}{830}=\frac{830*(0.87)^x}{830}$

$0.5=0.87^x$

Let us take natural log of both sides of our equation.

$ln(0.5)=ln(0.87^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.5)=x*ln(0.87)$

$\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}$

$\frac{ln(0.5)}{ln(0.87)}=x$

$\frac{-0.6931471805599}{-0.139262067}=x$

$x=4.977286\approx 4.98$

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

5 0

3 years ago

Investors buy a studio apartment for 120000 of this amount they have down payment of 24000 their down payment is what percent of

Yakvenalex [24]

Answer:

1. 20%

2. 40%

Step-by-step explanation:

To find the percent of the total payment that the down payment is we have to you use the following equation:

$\frac{part}{whole} * 100 = percent$

Lets start plugging things into the equation.

The part is equal to the down payment and the whole is the total cost of the studio apartment.

Let's do this for the first question

$\frac{24,000}{120,000} * 100 = 20%$

So we see that 24,000 is 20% of the total purchase price!

Let's do this for the next question:

$\frac{48,000}{120,000} * 100 = 40$

48,000 is 40% of the 120,000 total cost!

<em>Hope this helps!</em>

<em>- Kay</em>

<em />

7 0

3 years ago