Ask question

Ask question

All categories

3 years ago

13

Sweaters already on sale for 30% off the regular price cost $28 when purchased with a promotional coupon that allows an addition

al 20% discount. Find the original price.

1 answer:

maksim [4K]3 years ago

3 0

56.32 because i said so

You might be interested in

Lily is cutting a piece of yarn into 3 (three) pieces. The 2nd piece is 3 times as long as the 1st piece, while the 3rd piece is

STatiana [176]

Answer:

The length of the first piece = 41 cm

Step-by-step explanation:

Let the length of the first piece = a

Let the length of the second piece = b

Let the length of the third piece = c

we are given the following:

b = 3a . . . . . (1) (The 2nd piece is 3 times as long as the 1st piece)

c = 6 + a . . . . (2) (the 3rd piece is 6 centimeters longer than the 1st piece)

a + b + c = 211 . . . . . (3) ( the yarn has a total length of 211 centimeters)

Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:

a + b + c = 211

a + (3a) + (6 + a) = 211 ( remember that b = 3a; c = 6 + a)

a + 3a + 6 + a = 211

5a + 6 = 211

5a = 211 - 6 = 205

5a = 205

∴ a = 205 ÷ 5 = 41 cm

a = 41 cm

Therefore the length of the first piece (a) = 41 cm

now finding b and c

substituting a into equation 1 and 2

b = 3a

b = 3 × 41 = 123

∴ b = 123 cm

c = 6 + a

c = 6 + 41 = 47

∴ c = 47 cm

6 0

3 years ago

A student wants to construct the inscribed circle of a triangle. What is the first step he/she should take?

pantera1 [17]

The <em>correct answer</em> is:

d) Construct the angle bisector of each angle in the triangle

Explanation:

The incenter, or center of an inscribed circle, is the point where the angle bisectors of a triangle intersect. This means the first thing we will need to construct is the bisector of each angle of the triangle.

8 0

3 years ago

Read 2 more answers

Kevin is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Kevin will earn $

Tresset [83]

Answer:

the answer is 4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The volume of a pyramid that fits exactly inside a cube is 49 cubic feet. what is the volume of the cube?

8090 [49]

The volume of a pyramid is 1/3 the volume of the cube mentioned in the question since it fits exactly inside it. So multiply 49*3 = 147 cubic feet

6 0

3 years ago

Read 2 more answers

Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and

Nutka1998 [239]

We can start by writing all that we know about the problem. Let us write down how many scones each boy has:
$R_{o} : x$
$C_{a} : x+k$
$L_{o} : x+2k$
$T_{o} : x+3k$
$C_{h} : x+4k$
Note that k is the increase, we know it's a constant. This is not a system of equations, please keep that in mind. We will use rest of the information given to build the system. We have two variables x (the number of cookies the first boy bought) and k( the increase), that means we need to have two equations to solve this problem.
We know that total amount of scones is 60, so we can use that information to build our first equation. We sum all of the scones and we get 60.
$R_{o}+C_{a}+L_{o}+T_{o}+C_{h}=60$
$5x+10k=60$
We know that Robbie and Cameron combined have 3/7 of <span>Louis, Tom and Charlie combined. We can use this information to build our second equation.
</span> $R_o+C_a= \frac{3}{7} (L_o+T_o+C_h)$
$2x+k= \frac{3}{7} (x+2k+x+3k+x+4k)$
$2x+k= \frac{3}{7} (3x+9k)$
$14x+7k=9x+27k$
$5x=20k$
$x=4k$
Now this piece of information alows us to solve the first equation that we made and this will solve our problem. We simply plug in x=4k into 5x+10k=60.
$5(4k)+10k=60$
$30k=60$
$k=2$
Now we can plug this information into the same equation 5x+10k=60 and get x.
$5x+10(2)=60$
$5x=40$
$x=8$
And that's it. Now we can write out how many cookies each boy has bought.
$R_{o} : x=8$
$C_{a} : x+k=10$
$L_{o} : x+2k=12$
$T_{o} : x+3k=14$
$C_{h} : x+4k=16$
If you add them all up you get 60.

3 0

3 years ago