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Molodets [167]
3 years ago
12

Lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four

Mathematics
2 answers:
Sedaia [141]3 years ago
6 0

Answer:  10

Step-by-step explanation:

Given : lliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint.

Total number of colors = 6

If order does not matter, then we use combinations.

The number of combinations of n things taken r at a time :-

^nC_r=\dfrac{n!}{r!(n-r)!}

If green is already selected , then the remaining number of colors to choose  = 3 out of 5  ( red, yellow, purple, orange, and blue paint.)

^5C_3=\dfrac{5!}{3!(5-3)!}\\\\=\dfrac{5\times4\times3!}{3!2!}=10

The number of ways can she pick four colors if green must be one of them = 10.

atroni [7]3 years ago
3 0

Answer: i believe the answer is 4

Step-by-step explanation:

she can have

green red yellow purple

green yellow purple orange

green red purple orange

green red yellow orange

i couldn't see anymore combos but i could be wrong

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3 years ago
What is the value of the expression<br> Зр divided by8 + 4 when p is 32?
Otrada [13]

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-4

Step-by-step explanation:

Divide each side by '-1'.

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4 0
3 years ago
A) 7.7 ft<br> b) 13.4 ft<br> c) 10.3 ft<br> d) 12.3 ft
ELEN [110]

Answer:

D. 12.3 ft

Step-by-step explanation:

This problem requires the use of trigonometric ratios. This one specifically uses the cosine ratio as it provides the hypotenuse and is asking for the side that is adjacent to the angle.

cos(40°)=a/16

cos(40°)×16=a/16×16

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3 0
4 years ago
Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent t
Firdavs [7]

Answer: He can raise up to 40 goats and 100 llamas.

Step-by-step explanation:

Hi, to answer this question we have to write system of equations with the information given:

The space each goat needs (4) multiplied by the number of goats (x); plus The space each llama needs (10) multiplied by the number of llamas must be less or equal to the acre land available (800)

4x +10y ≤ 800 (acres)

The amount of veterinary care (in $) each  goat needs (110) multiplied by the number of goats (x); plus The  amount of veterinary care   each llama needs (88) multiplied by the number of llamas (y)must be less or equal to the Rancher's budget.(14520)

110x +88y ≤ 14,520 (cost)

Multiplying the first equation by 27.5, and subtracting the second equation to the first one:

110x + 275y ≤22,000

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110x +88y ≤ 14,520

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187y ≤ 7480

y ≤ 7480/187

y ≤ 40

Replacing y in the first equation

4x +10(40) ≤ 800

4x +400 ≤ 800

4x ≤ 800-400

4x ≤ 400

x ≤ 400/4

x ≤ 100

5 0
3 years ago
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