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Nat2105 [25]
3 years ago
10

Suppose restaurant​ A's chicken salad contains 6more grams of fat than restaurant​ B's chicken salad. Find the number of grams o

f fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56​,where xrepresents the number of fat grams in the restaurant​ B's chicken salad and x plus 6represents the number of fat grams in restaurant​ A's chicken salad.
Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25

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What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the seg
GrogVix [38]

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)

Therefore, the required point is located as follows;

\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)

The coordinates of the point is (0, -4)

6 0
3 years ago
The sum of the reciprocal of a number and 5/6 is 13/12. Find the number.
ddd [48]

\frac1x+\frac56=\frac{13}{12}\ \ \ \ |\cdot12\\ 12\cdot\frac1x+12\cdot\frac56=12\cdot\frac{13}{12}\\ \frac{12}x+\frac{60}6=13\\ \frac{12}x+10=13\ \to \ \frac{12}x=3\ \to \ \boxed{x=4}

4 0
3 years ago
Read 2 more answers
PLEASE HELP.
pentagon [3]

Let x represent the number of shirts. Let y represent the number of pens.

If shirts are on sale for $11.99 each, then x shirts cost $11.99x.

If pants are on sale for $12.99 each, then y pants cost $12.99y.

The total cost is $(11.99x+12.99y).

Sarah can spend up to $65. Then an inequality that represents this situation is

11.99x+12.99y≤65 (this inequality holds when Sarah can spend $65 too)

or

11.99x+12.99y<65 (this inequality holds when Sarah can spend less than $65).

3 0
3 years ago
Is the set of numbers one 1,5,25 and 125 a geometric sequence
Strike441 [17]
Short answer: Yes.
Each member of the sequence is multiplied by 5 to get to the next member of the sequence.

Find the general equation.
tn = a*5^(n - 1)

Example
t4 = 1*5^(4 - 1)
t4 = 1*5^3
t4 = 125 just as the sequence shows.

t5 = 1^5^4
t5 = 625     Any member of the sequence can be found this way.
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bogdanovich [222]
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