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Ad libitum [116K]
3 years ago
8

The Least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Ju

stify ur anwsewer
Mathematics
1 answer:
Korvikt [17]3 years ago
6 0
The n two number are n and n+7. The two numbers are relatively prime because 7 is prime and doesn't divide 60. So we get n(n+7)=60. Guess and check tells us the two numbers are 5 and 12.
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The base of a triangle exceeds the height by 9 centimeters. If the area is 56 square centimeters, find the length of the base an
shepuryov [24]

Answer:

The height of the triangle is 7cm and the base is 16cm

Step-by-step explanation:

First of all we have to know the formula to calculate area of ​​a triangle

a = area = 56

b = base

h = heigth

a = (b * h)/2

we replace the known values and we make 2 equations

56cm² = (b * h)/2

b = h + 9cm

we replace b by (h + 9cm) in the first equation

56cm² = (h + 9cm * h)/2

56cm² * 2 = h² + 9h

0 = h² + 9h - 112cm²

we use bhaskara formula:

(-b (±) √ (b² - 4ac) ) / 2a

we replace with the known values

h = (-9 (±) √ (9² - 4*1*(-112) ) ) / 2*1

h = (-9 (±) √ (81 + 448) ) ) / 2

h = (-9 (±) √529) /2

h = (-9 (±) 23)/2

h1 = (-9 + 23) / 2

h1 = 14 / 2

h1 = 7

h2 = (-9 - 23) / 2

h2 = -32 / 2

h2 = -16

The height of the triangle is 7cm and the base is 16cm

8 0
3 years ago
How many 1/2 cup servings are there in 7/8 cup of peanut butter?
docker41 [41]
3/4 cups
is the answer
5 0
3 years ago
Read 2 more answers
Subtract and simplify.
Anestetic [448]
(y^2-7y-5)-(-3y^2+3y-4)
=y^2-7y-5+3y^2-3y+4
=3y^2+y^2-7y-3y-5+4
=4y^2-10y-1

In short, the answer would be 4y^2-10y-1 (Option D).

Hope this helps !

Photon
6 0
3 years ago
Read 2 more answers
7/8 of 16 = what with work
trapecia [35]
7/8times16/1 gives 112/8, which is 14.
you multiply both numerators over both denominators.
3 0
3 years ago
Read 2 more answers
-(10(2)-2(8)+5(-1))​
tiny-mole [99]

Answer:

1

Explanation:

−((10)(2)−(2)(8)+(5)(−1))

= −(20−(2)(8)+(5)(−1))

= −(20−16+(5)(−1))

= −(4+(5)(−1))

= −(4+−5)

= −(−1)

= 1

- Mordancy.

8 0
3 years ago
Read 2 more answers
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