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gayaneshka [121]
3 years ago
14

The greater of 2 consecutive odd integers is 8 more than 3 times the lesser. Find the integers.

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Step-by-step explanation:

let the odd integers be a, a+2.

a+2=8+3a

collect like term

a-3a=8-2

-2a=6

a=-3

so the integers are -3, -1

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Mary buys a dress and a pair of shoes. Before adding the tax she pays $ 48 for the dress which normally sells for $ 62, and she
katovenus [111]
Hello! I can help you with this!

a. To find out how much Mary saved, we will have to subtract the sale price from the original price, and then add up the difference to find how much she saved. 62 - 48 is 14. 46 - 34 is 12. 14 + 12 = 26. Mary saved $26 by buying at the sale item price.

b. To find the amount of discount, we can write and solve a proportion, by setting it up like this: change/original = x/100. Change is the distance between two numbers and the original is the previous price. If you know about proportions, you cross multiply the values, and then divide each side by a number to isolate "x". If you solve each proportion correctly, here are your answers for each item:

Dress: ≈ 23% discount
Shoes: ≈ 26% discount

c. Okay. So when we add up the sales prices together, 48 + 34 is 82. In order to find the total amount with tax, we multiply the sale price, by (1 + r). In other words, add 1 to the rate in decimal form and multiply it by the total of the sales price. 82 * 106.5% (1.065) is 87.33. Mary paid a total of $87.33.
6 0
3 years ago
Can I get help solving?
Nookie1986 [14]

Answer:

77, 48

Step-by-step explanation:

the area of a rectangle is length times width.

the area of a triangle is length x height divided by 2

7 0
3 years ago
Janet has 3 sweatshirts, 5 t-shirts, and 2 pairs of pants that can be worn together. If each outfit has a sweatshirt, t-shirt, a
RideAnS [48]

Answer:

30 outfits

Step-by-step explanation:

First, come up with all the possibilties for one of the sweatshirts. So...

S11

S12

S21

S22

S31

S32

S41

S42

S51

S52

Count up all of those and then multiply it by three

10 * 3 = 30

Have a wonderful day!

4 0
3 years ago
What is the equation that represents the line that passes through the point (2,6) and has a slope of -5?
tiny-mole [99]

Answer:

y = - 5x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, thus

y = - 5x + c ← is the partial equation of the line

To find c substitute (2, 6) into the partial equation

6 = - 10 + c ⇒ c = 6 + 10 = 16

y = - 5x + 16 ← equation of line

3 0
4 years ago
In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.
soldi70 [24.7K]

Answer:

c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%

Step-by-step explanation:

the participants increasing = 185-150=35

the percentage = 35/150 × 100% = 23.3%

7 0
3 years ago
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