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Paha777 [63]
3 years ago
7

5x+8-7x=-4x+1 How many solutions does this have? A)no solutions B)exactly one solution C)infinitely many solutions

Mathematics
2 answers:
Vitek1552 [10]3 years ago
8 0

Answer: it has only one solution on khan acadmay

Step-by-step explanation:

koban [17]3 years ago
4 0

Answer:

C)infinitely many solutions

Step-by-step explanation:

5x+8-7x=-4x+1\\-2x+8=-4x+1\\2x+8=1\\2x=-7\\x=-3.5

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Step-by-step explanation:

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Evangeline is making snack bags for her class. If she can fill 5/8 of her snack bags with 1 2/3 cups of pretzels, how many cups
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Answer:

2 2/3

Step-by-step explanation:

For each of her snack bag, she can fill it with a 1/3 cup of pretzels

1/3 x 8 = 2 2/3 cups

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Explain the steps you would take to complete this conversion problem
OLEGan [10]

Answer:

20909.09 grams

Step-by-step explanation:

\frac{46 \: lb}{1}  \times  \frac{1 \: kg}{2.2 \: lb}   \times  \frac{1000 \: g}{1 \: kg}  = \\ \frac{46 \: lb}{2.2 \: lb}  \times  \frac{1 \: kg}{1} \:   \times  \frac{1000 \: g}{1 \: kg}  = \\\frac{230 \: }{11 \:}  \times \frac{1 \: kg}{1 \: kg \:}\times \frac{1000 \: g}{1 \:}  = \\\frac{230 \: }{11 \:}  \times \frac{1}{1}\times \frac{1000 \: g}{1 \:}  = \\\ \frac{230}{11}g  \times 1g  \times \: 1000g

= 230 grams / 11 grams × 1000 grams = 20.90909... × 1000 = 20909.09 grams

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there are 650 employees It costs you $46,800 to pay all of your employees for an entire shift.How many hours is each employee wo
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find the equation of a circle which passes through the point (2,-2) and (3,4) and whose centre lies on the line x+y=2
Nadusha1986 [10]

Answer:

Equation of the circle

(x - 0.7)² + (y - 1.3)² = 12.58

Step-by-step explanation:

The formula for the equation of a circle is given as:

(x - a)² + (y - b)² = r²,

where(a, b) is the center of the circle and r = radius of the circle.

a) We are told in the question that the equation of the circle passes through point(2, -2)

Hence,

Substituting 2 for x and -2 for y in the equation of the circle.

(x - a)² + (y - b)² = r²

(2 - a)² +(-2 - b)² = r²

Expanding the bracket

(2 - a) (2 - a) + (-2 - b)(-2 - b) = r²

4 - 2a - 2a +a² +4 +2b +2b +b² = r²

4 - 4a + a² + 4 + 4b + b² = r²

a² + b² -4a + 4b + 4 + 4 = r²

a² + b² -4a + 4b + 8 = r²............Equation 1

We are also told that the equation of the circle also passes through point (3,4) also, where 3 = x and 4 = y

Hence,

Substituting 3 for x and 4 for y in the equation of the circle.

(x - a)² + (y - b)² = r²

(3 - a)² +(4 - b)² = r²

Expanding the bracket

(3 - a) (3 - a) + (4 - b)(4- b) = r²

9 - 3a - 3a +a² +16 -4b -4b +b² = r²

9 -6a + a² + 16 -8b + b² = r²

a² + b² -6a -8b + 9 + 16 = r²

a² + b² -6a -8b + 25 = r²..........Equation 2

The next step would be to subtract Equation 1 from Equation 2

a² + b² -4a + 4b + 8 - (a² + b² -6a -8b + 25) = r² - r²

a² + b² -4a + 4b + 8 - a² - b² +6a +8b - -25= r² - r²

Collecting like terms

a² - a² + b² - b² - 4a + 6a + 4b + 8b +8- 25 = 0

2a + 12b -17 = 0

2a + 12b = 17...........Equation 3

Step 2

We are going to have to find the values of a and b in other to get our equation of the circle.

Since the center of the circle(a, b) lies on x + y = 2

Therefore, we have

a + b = 2

a = 2 - b

2a + 12b = 17 ..........Equation 3

Substituting 2 - b for a in

2(2 - b) + 12b = 17

4 - 2b + 12b = 17

4 + 10b = 17

10b = 17 - 4

10b = 13

b = 13/10

b = 1.3

Substituting 1.3 for b in

a + b = 2

a + 1.3 = 2

a = 2 - 1.3

a = 0.7

hence, a = 0.7, b = 1.3

Step 3

We have to find the value of r using points (2, -2)

(x - a)² + (y - b)² = r²

Where x = 2 and y = -2

(-2 - 0.7)² + (-2 - 1.3)² = r²

(-2.7)² + (-3.3)² = r²

1.69 + 10.89 = r²

r² = 12.58

r = √12.58 = 3.55

Step 4

The formula for the equation of a circle is given as:

(x - a)² + (y - b)² = r²,

where(a, b) is the center of the circle and r = radius of the circle

a = 0.7

b = 1.3

r² = 12.58

Equation of the circle =

(x - 0.7)² + (y - 1.3)² = 12.58

7 0
3 years ago
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