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strojnjashka [21]
3 years ago
15

Eleven diminished by 5 times a number is the same as 4 times the number increased by 20.

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0
x-number\\\\
11-5x=4x+20\\\\
-5x-4x=20-11\\\\-9x=9\ \ |:(-9)\\\\
x=-1\\\\Number\ is\ -9.
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allochka39001 [22]
12/4 = 3 + 2x 1/2
Divide and then multiply and your answer will be 4
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Write 6 2/3 as a improper fraction
kirill115 [55]
Hi, i think the answer 20/3 hope this helped :D
3 0
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Read 2 more answers
Sketch a line with a slope of -2 and another with a slope of -4
WINSTONCH [101]

Answer:


Step-by-step explanation:

Try and become familiar with a program like Desmos. It will do wonderful things for you.

I have graphed

Red: y = -2x + 5  (The 5 is the y intercept. For this question it could be anything.

Blue: y = - 4x + 5 Same note as above.


4 0
3 years ago
1) Let f(x)=ax2+bx+c for some value of a, b and c. f intersects the x-axis when x=−2 or x=3, and f( 1 3 )=−25. Find the values o
antiseptic1488 [7]

Answer:

1) a = -⅙, b = ⅙, c = 1

2) 6 units

Step-by-step explanation:

1) f(x) = ax² + bx + c

Given the roots, we can write this as:

f(x) = a (x + 2) (x − 3)

We know that f(13) = -25, so we can plug this in to find a:

-25 = a (13 + 2) (13 − 3)

-25 = 150a

a = -⅙

Therefore, the factored form is:

f(x) = -⅙ (x + 2) (x − 3)

Distributing:

f(x) = -⅙ (x² − x − 6)

f(x) = -⅙ x² + ⅙ x + 1

Graph: desmos.com/calculator/6m6tjoodvb

2) Volume of a right prism is area of the base times the height.

V = Ah

The base is an equilateral triangle.  Area of a triangle is one half the base times height.

V = ½ ab h

The height of the triangle is the same as the height of the prism.

V = ½ bh²

In an equilateral triangle, the height is equal to half the base times the square root of 3.

V = ½ b (½√3 b)²

V = ⅜ b³

Given that V = 81, solve for b.

81 = ⅜ b³

216 = b³

b = 6

5 0
3 years ago
Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the
iogann1982 [59]

Answer:

9 per basket and 9 baskets

Step-by-step explanation:

36/9 = 4 27/9=3 18/9=2

5 0
3 years ago
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