The length and width of a rectangle are in the ratio 5:3. The perimeter of the rectangle is 32 cm. Find the length and width.

A coffee table is on sale for 20% off the original price of $115.

snow_lady [41]

Answer: Final price of the coffee table is $98.9.

Step-by-step explanation:

Original price of a coffee table = $115

Discount on a coffee table = 20%

So, After discount, it becomes,

$\text{ Price}=\frac{100-20}{100}\times 115\\\\\text{ Price}=\frac{80}{100}\times 115\\\\\text{ Price}=0.8\times 115\\\\\text{ Price}=\$92$

Rate of sales tax = 7.5%

So, after tax the price becomes,

$\text{ Price}=\frac{100+7.5}{100}\times 92\\\\\text{ Price}=\frac{107.5}{100}\times 92\\\\\text{ Price}=\$98.9$

Hence, final price of the coffee table is $98.9.

3 0

3 years ago

What is the factored form of 5x+x^2=0

Colt1911 [192]

$5x+x^2=0\\ \\x(5+x)=0\\ \\x=0 \ \vee \ 5+x=0 \\\\ x=0 \ \vee \ x=-5$

3 0

3 years ago

Find 2 numbers that have... a product of 49 and a sum of 14

balu736 [363]

Hey there! Two numbers is 7 and 7! (Product=multiply) 7x7=49 and (Sum=add) 7+7=14! Hope this helped! Have a nice day!

7 0

3 years ago

Use the graph to tell whether the linear system has one solution, no solution, or infinitely man solutions.

cupoosta [38]

The first one has one solution because the lines intersect at one point.
The second one also has one solution because the lines only intersect at one point.

3 0

2 years ago

A new fast-food firm predicts that the number of franchises for its products will grow at the rate dn dt = 6 t + 1 where t is th

yaroslaw [1]

Answer:

The answer is "253"

Step-by-step explanation:

In the given- equation there is mistype error so, the correct equation and its solution can be defined as follows:

Given:

$\bold{\frac{dn}{dt} = 6\sqrt{t+1}}\\$

$\to dn= 6\sqrt{t+1} \ \ dt.....(a)\\\\$

integrate the above value:

$\to \int dn= \int 6\sqrt{t+1} \ \ dt \\\\\to n= \frac{(6\sqrt{t+1} )^{\frac{3}{2}}}{\frac{3}{2}}+c\\\\\to n= \frac{(12\sqrt{t+1} )^{\frac{3}{2}}}{3}+c\\\\$

When the value of n=1 then t=0

$\to 1= \frac{12(0+1)^{\frac{3}{2}}}{3}+c\\\\ \to 1= \frac{12(1)^{\frac{3}{2}}}{3}+c\\\\\to 1-\frac{12}{3}=c\\\\\to \frac{3-12}{3}=c\\\\\to \frac{-9}{3}=c\\\\\to c=-3\\$

so the value of n is:

$\to n= \frac{(12\sqrt{t+1} )^{\frac{3}{2}}}{3}-3\\\\$

when we put the value t= 15 then,

$\to n= \frac{(12\sqrt{15+1} )^{\frac{3}{2}}}{3}-3\\\\\to n= \frac{(12\sqrt{16} )^{\frac{3}{2}}}{3}-3\\\\\to n= \frac{(12\times 64)}{3}-3\\\\\to n= (4\times 64)-3\\\\\to n= 256-3\\\\\to n= 253$

6 0

3 years ago