Antonio has a job as a waiter. He is paid $20.00 per day, plus $5.50 per table served, x. On Friday, Antonio earned $157.50. Which equation can be used to determine how many tables Antonio served on Friday?

Answers

Answer 1

Answer:

The required equation used to determine how many tables Antonio served on Friday is 157.50 = 20 + 5.5x.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Antonio has a job as a waiter. He is paid $20.00 per day, plus $5.50 per table served, x.
Let the total earnings of Antonia for a day be y,
According to the question,
y = 20 + 5.5x

Now,
Antonio earned $157.50 on Friday.
157.50 = 20 + 5.5x

Thus, the required equation used to determine how many tables Antonio served on Friday is 157.50 = 20 + 5.5x.

Learn more about models here:
brainly.com/question/22591166
#SPJ5

Answer 2

Answer:

Answer:

He served 25 tables

Step-by-step explanation:

Do..

£157.50 - £20 (as he gets this daily) = £137.50

£137.50 ÷ £5.50 = number of tables he served = 25 tables

Hope this helped

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Simplify:
4n + 6 -(5n+3)
A. -n +3
B. -n +9
C. 9n + 3
D. 9n +9

Answers

Answer:

Answer is A.

-n+3

Step-by-step explanation:

1. EF is (a secant of, tangent to) OX.2. DF is a (chord, locus) of OX.

3. AABC is made of (chords in, tangents to) OX.

4. ZDEF is an (intercepted arc, inscribed angle) of OX.

Answers

Answer:

1 . EF is a secant of OX

2. DF is a chord of OX.

3. AABC is made of tangents to OX

4. ∠DEF is an inscribed angle of OX.

Step-by-step explanation:

Secant is line which intersects a circle from two distant points. Locus is a set of points which is same distance from the center of a circle. Chord is a straight line whose end points lie on circular arc of a circle. Tangent is a line which touches the circle at one point only.

A preliminary sample of holiday shoppers revealed that the standard deviation of the amount of money they are planning to spend on gifts during the coming holiday season is $80. How many holiday shoppers should be sampled in order to estimate the average amount of money spent on gifts by all holiday shoppers with a margin of error of $7 and with a 99% confidence

Answers

Answer:

$n=((2.58(80))/(7))^2 =869.407 \approx 870$

So the answer for this case would be n=870 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\sigma = 80$ represent the deviation

ME = 7 represent the margin of error

Solution

The margin of error is given by this formula:

$ME=z_(\alpha/2)(\sigma)/(√(n))$ (a)

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=((z_(\alpha/2) \sigma)/(ME))^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level would be $\alpha=0.01$ and $\alpha/2 =0.05$ . The critical value would be $z_(\alpha/2)=2.58$ , replacing into formula (b) we got:

$n=((2.58(80))/(7))^2 =869.407 \approx 870$

So the answer for this case would be n=870 rounded up to the nearest integer

Find the mean of the set of data: 10,12,29,2,19,42,23,23

Answers

Answer:

Step-by-step explanation:

mean is average

add all numbers get 160

divide by number of numbers (8) and get 20

Answer:

when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol

Question 17Solve the following problem below. Write your final answer in scientific notation
7.2 x 10
4 x 10-9
A
1.8 x 102
B
1.8 x 10-2
С
1.8 x 10-8
D
1.8 x 10-8

Answers

Answer:

1.8 × 10^10

Step-by-step explanation:

(7.2 × 10 = 72)

(72) ÷ (4 × 10^-9) = 1.8 × 10^10

The midpoint of a line segment is (−3,2). One endpoint of the line segment is (4,−7).What are the coordinates of the other endpoint of the line segment?

Answers

The coordinates of the other endpoint of the line segment are $Y(x,y) = (-10, 11)$ .

Vectorially speaking, the midpoint of a line segment is determined by the following expression:

$M(x,y) = (1)/(2)\cdot X(x,y) + (1)/(2)\cdot Y(x,y)$ (1)

Where:

$M(x,y)$ - Midpoint.
$X(x,y)$ , $Y(x,y)$ - Endpoints of the line segment.

If we know that $M(x,y) = (-3, 2)$ and $X(x,y) = (4, -7)$ , then the coordinates of the other endpoint is:

$(1)/(2)\cdot Y(x,y) = M(x,y) -(1)/(2)\cdot X(x,y)$

$Y(x,y) = 2\cdot M(x,y) -X(x,y)$

$Y(x,y) = 2\cdot (-3,2)-(4,-7)$

$Y(x,y) = (-6, 4) - (4, -7)$

$Y(x,y) = (-10, 11)$

The coordinates of the other endpoint of the line segment are $Y(x,y) = (-10, 11)$ .

We kindly invite to check this question on midpoints: brainly.com/question/17506315

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