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3 years ago

Consider the conditional statement: "If I skip dinner, then I won't sleep well tonight."

Mathematics

2 answers:

STALIN [3.7K]3 years ago

8 0

Answer:

I won't sleep well tonight, if l skip dinner.

Vlada [557]3 years ago

8 0

If I don’t go to school, I won’t get an education.

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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

If a quadratic function has x-intercepts at 2 = -

PolarNik [594]

Complete question is;

If a quadratic function has x-intercepts at x = -3 and x = -1, one possible equation of the function would be y = (x + 3)(x + 1), a graph that first

decreases until it reaches the vertex, (-3, -1), then increases (opening upward U shape).

So then, if a quadratic function has x-intercepts at x = -2 and x = 2

a. What is the equation of this quadratic function? Explain your reasoning

b. What is the vertex of the equation? Show your work and explain your reasoning.

Answer:

Quadratic equation is; y = x² - 4

Vertex: (0, -4)

Step-by-step explanation:

The x-intercepts are at x = -2 and x = 2. Thus, the equation is;

y = (x - (-2))(x - 2)

y = x² + 2x - 2x - 4

y = x² - 4

Now,the coordinates of the vertex will be (h, k)

Where;

h = -b/2a

k is the value of y at x = h

From y = x² - 4, h = 0

Thus, putting x = h = 0 in the quadratic equation, we have;

y = 0² - 4

y = -4

Thus,the coordinates of the vertex are; (0, -4)

3 0

3 years ago

What is 5.6372 divied by 17.

Zinaida [17]

The answer would be 0.3316

4 0

4 years ago

Given ADC ACB and BDC BCA prove a squared + b squared = c squared. Use the two Column proof.

Yuri [45]

Answer:

a² + b² = c · (e + d) = c × c = c²

a² + b² = c²

Please see attachment

Step-by-step explanation:

Statement, Reason

ΔADC ~ ΔACB, Given

AC/AD = BA/AC, The ratio of corresponding sides of similar triangles

b/e = c/b

b² = c·e

ΔBDC ~ ΔBCA, Given

BC/BA = BD/BC, The ratio of corresponding sides of similar triangles

a/c = d/a

a² = c·d

a² + b² = c·e + c·d

a² + b² = c · (e + d)

e + d = c, Addition of segment

a² + b² = c × c = c²

Therefore, a² + b² = c²

7 0

3 years ago

I need help ASAP please only answer if you know the answer (no need for work to be shown)

sergiy2304 [10]

$50.40 since 12% of 45 is $5.40

5.4+45=50.4

7 0

3 years ago

Read 2 more answers