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3 years ago

Simplifying expressions

1 answer:

7 0

Answer: To simplify an expression means to write an equivalent expression which contains no similar terms. This means that we will rewrite the expression with the fewest terms possible.

Step-by-step explanation: Hope this helps some

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A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $560.63 on a particular day. Another day she s

Eduardwww [97]

The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Solution:

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $560.63 on a particular day

Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

$11 \times a + 12 \times b = 560.63$

11a + 12b = 560.63 -------- eqn 1

Another day she sold 16 ribeye steak dinners and 6 grilled salmon dinners, totaling $584.46

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

$16 \times a + 6 \times b = 584.46$

16a + 6b = 584.46 ------------ eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 by 2

32a + 12b = 1168.92 ------- eqn 3

Subtract eqn 1 from eqn 3

32a + 12b = 1168.92

11a + 12b = 560.63

( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

$a = 28.96 \approx 29$

Substitute a = 29 in eqn 1

11(29) + 12b = 560.63

319 + 12b = 560.63

12b = 560.63 - 319

12b = 214.63

Divide both sides by 12

$b = 20.13 \approx 20$

Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

5 0

3 years ago

I need help finding the y-intercept of this line

CaHeK987 [17]

The y-intercept of the line is (0, 12/7).

In the slope-intercept form, y = mx + b:

m = slope
b = y-intercept

The y-intercept is the point on the line where it crosses the y-axis, and has coordinates of (0, b). It is also the value of y when x = 0.

In the slope-intercept form, the value of b is the y-coordinate of the y-intercept, (0, b).

Therefore, the y-intercept = (0, 12/7).

Please mark my answers as the Brainliest, if you find this helpful :)

4 0

2 years ago

B. 135: 90 Simplify the ratio

icang [17]

Answer: 3/2

Divide both 135 and 90 by 45 and you get 3 and 2

5 0

3 years ago

Read 2 more answers

Select all the following that make a right triangle:

kap26 [50]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that for positive integers to be Pythagorean triples, they must have to work and satisfy the Pythagorean Theorem's formula:

a² + b² = c²

Here,

a and b are the sides or legs of a right triangle

c is the hypotenuse

Let us check now:

A) 3, 4, 5

a = 3, b = 4, c = 5

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

TRUE

Thus, we conclude that (3, 4, 5) makes a right triangle.

B) 8, 15, 17

a = 8, b = 15, c = 17

a² + b² = c²

8² + 15² = 17²

64 + 225 = 289

289 = 289

TRUE

Thus, we conclude that (8, 15, 17) makes a right triangle.

C) 6, 8, 10

a = 6, b = 8, c = 10

a² + b² = c²

6² + 8² = 10²

36 + 64 = 100

100 = 100

TRUE

Thus, we conclude that (6, 8, 10) makes a right triangle.

D) 5, 12, 13

a = 5, b = 12, c = 13

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169

TRUE

Thus, we conclude that (5, 12, 13) makes a right triangle.

E) 7, 8, 9

a = 7, b = 8, c = 9

a² + b² = c²

7² + 8² = 9²

49 + 64 = 81

113 = 81

FALSE ∵ 113 ≠ 81

Thus, we conclude that (7, 8, 9) does not make a right triangle.

E) 7, 20, 21

a = 7, b = 20, c = 21

a² + b² = c²

7² + 20² = 21²

49 + 400 = 441

449 = 441

FALSE ∵ 449 ≠ 441

Thus, we conclude that (7, 20, 21) does not make a right triangle.

G) 10, 11, √221

a = 10, b = 11, c = √221

a² + b² = c²

10² + 11² = (√221)²

100 + 121 = 221

221 = 221

TRUE

Thus, we conclude that (10, 11, √221) makes a right triangle.

H) 5, 8, √80

a = 5, b = 8, c = √80

a² + b² = c²

5² + 8² = (√80)²

25 + 64 = 80

89 = 80

FALSE ∵ 89 ≠ 80

Thus, we conclude that (5, 8, √80) does not make a right triangle.

7 0

3 years ago

-1/10 cannot be a probability because

Valentin [98]

Answer:

Because you can't get a negative object since the question is asking for the probability of something not what is the probability of something non exixtent.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers