Please help! Attachment below

A sweater is on sale for 20% off. A jacket is on sale for 15% off. The sale price for each item is $34.00. Which item cost more

SashulF [63]

The sweater cost more originally. It costs $2.50 more from jacket.

Step-by-step explanation:

Given,

Discount rate of sweater = 20%

Sale price of sweater = (100-20)% = 80%

Discount rate of jacket = 15%

Sale price of jacket = (100-15)% = 85%

Sale price of each item = $34.00

Let,

x be the original price of sweater.

y be the original price of jacket.

80% of x = 34

$\frac{80}{100}x=34\\0.80x=34$

Dividing both sides by 0.80

$\frac{0.80x}{0.80}=\frac{34}{0.80}\\x=42.50$

The original price of sweater is $42.50

85% of y = 34

$\frac{85}{100}y=34\\0.85y=34$

Dividing both sides by 0.85

$\frac{0.85y}{0.85}=\frac{34}{0.85}\\y=40$

The original cost of jacket is $40

Difference = 42.50 - 40 = $2.50

The sweater cost more originally. It costs $2.50 more from jacket.

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

4 0

3 years ago

*WILL GIVE BRAINLIEST TO WHOEVER HAS A DETAILED ANSWER*

mote1985 [20]

Y * 10 = z

y = dollars
z = dimes

4 dollars = 4y

Replace y with 4:
4* 10 = 40.

The total amount of dimes in 4 dollars is 40 dimes.

Hope this helped☺☺

6 0

3 years ago

Read 2 more answers

What is the next term in the sequence below? -324,108,-36,12,...

liq [111]

This is a geometric sequence with a common ratio of -1/3 and an initial term of -324. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1) so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4

5 0

3 years ago

Read 2 more answers

Two angels are supplementary. The measure of the large angle is four more than three times the measure of the small angle. Find

sashaice [31]

Answer:

The measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180° .

Let

Small angle = x

Large angle = y

x + y = 180°.... Equation 1

The measure of the large angle is four more than three times the measure of the small angle

Hence: y = 4 + 3x

We substitute 4 + 3x for y in Equation 1

x + 4 + 3x = 180°

4x + 4 = 180°

4x = 180° - 4

4x = 176

x = 176/4

x = 44°

Solve for y

y = 4 + 3x

y = 4 + 3(44)

y = 4 + 132

y = 136°

Therefore, the measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

5 0

2 years ago

In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to

solniwko [45]

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

5 0

3 years ago