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krok68 [10]
3 years ago
8

Michael spent $18 at a local farmers’ market. The apples he bought cost $2 per pound, and the peppers cost $3 per pound. How man

y pounds of apples and peppers did he buy?
This equation represents the scenario:

2a + 3p = 18

Choose the equations that are equivalent.
Check all that apply.
p = two-thirds a + 6
p = negative two-thirds a + 6
a = negative 1 and one-half p + 9
a = 1 and one-half p + 9
a = StartFraction negative 3 p + 18 Over 2 EndFraction
Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

p = -2/3a +6

a = -3/2 p +9

a = -1 1/2 p +9

a =  (-3p+18)/2

Step-by-step explanation:

2a + 3p = 18

Solve for a

2a +3p -3p = 18-3p

2a = 18 -3p

Divide by 2

a = 18/2 - 3p/2

a = 9 - 3/2 p

a = -3/2 p +9

a = -1 1/2 p +9

a =  (-3p+18)/2

Solve for p

2a +3p = 18

3p = 18 -2a

Divide by 3

p = 18/3 - 2/3 a

p = 6 -2/3a

p = -2/3a +6

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in a packet of skittles there are 27% are red and 23% are green and the rest are blue what percentage are blue?
Firdavs [7]

Answer: 50% are blue.

Step-by-step explanation:

The total number of skittles  in the packet will be represented by 100%. If 27% are red and 23% are green then the combination of the red and green skittles subtracted from 100 will give the percentage of the blue skittles.

27% + 23% = 50%

100% - 50% = 50%  

This means half of the skittles in the packet are blue which is 50%.

7 0
3 years ago
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Oksi-84 [34.3K]
C. is the correct answer because (x+3)^2 is x^2+6x+9
6 0
3 years ago
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An above ground swimming pool is leaking. After 1/2 hour the pool has leaked 7/8 of a gallon of water. How many gallons of water
pshichka [43]
7/8 gallon of water/ (1/2 hr)= 1.75 gallons of water/ hr.

The swimming pool is leaking 1.75 gallons of water/ hr.

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8 0
3 years ago
At a local high school football game, twice the number of students attended as adults. If student tickets were $6.50, adult tick
lesantik [10]

Answer:

454

Step-by-step explanation:

set up a system of equation

let y be the number of students

let x be the number of adults

because there are twice the amount of students attended as adults, we can use y=2x as one equation

the other equation will be 6.5y+9x=4972 because this represents the total amount of money

plug 2x for y : 6.5(2x)+9x=4972 : x=226

plug 226 in for the first equation : y=2(226) : y=452

8 0
3 years ago
A chord of a circle is 66cm long, it is 56 cm from the center of the circle. What is the radius of the circle?
ser-zykov [4K]

Answer:

radius = 65 cm

Step-by-step explanation:

(See image attached for better comprehension)

To find the value of the radius, we just need to draw a triangle, where one side is half of the chord (the distance from the chord to the center creates a point that divides the chord in two equal segments), other side is the distance from the chord to the center, and the hypotenusa will be the radius.

So, using Pythagoras' theorem, we have that:

r^2 = 56^2 + 33^2

r^2 = 4225

r = 65 cm

4 0
3 years ago
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