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ruslelena [56]
2 years ago
8

Please help.. this is so difficult..

Mathematics
1 answer:
Mariana [72]2 years ago
8 0

Answer:

$42.06

Step-by-step explanation:

step 1: find the 6% of 34.50; by multiplying 34.50 x 0.06 ( 0.06 = 6/100 or 6%).

34.50 x 0.06 = 2.07

Step 2: 2.07 + 34.50 = 36.57 -----Total cost of meal + 6% tax.

Step 3: find 15% of 36.57

36.57 x 0.15 = 5.4855

Step 4: 36.57 + 5.49 (rounded because money only has two decimal places)

Answer:

$42.06

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Consider the system of linear equations and the matrix equations below.
gregori [183]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

4 0
3 years ago
Mr. Nordman gets a commission of $2.30 on each pair of women's shoes he sells, and a commission of $3 on each pair of men's shoe
Alina [70]

Answer:

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .

He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = 2.3\times 20 + 3\times 10 =$76

8 0
3 years ago
Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8
drek231 [11]

Answer:

95% Confidence interval:  (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, \bar{x} = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)

(96.06,103.94) is the 95% confidence interval for  the population mean test score.

8 0
3 years ago
In order for RECT to be a rectangle, what must the value of x be?
Readme [11.4K]

Answer:

x = 21

Step-by-step explanation:

If RECT is a rectangle, each of its interior angles are right angles, 90°. Since ∠RTC is split into two angles, the sum of the two angles must be 90°. (Angles that add to 90° are called complementary angles).

∠RTC = ∠RTE + ∠ETC     Formula for complementary angles

90 = 2x + 6 + 42                Substitute the angles

90 = 2x + 48               Combined like terms to simplify

Now isolate "x" to solve

90 - 48 = 2x + 48 - 48         Subtract 48 from both sides

42 = 2x

42/2 = 2x/2       Divide both sides by 2

x = 21

Therefore x is 21.

6 0
3 years ago
Which of the following inequalities is correct?
almond37 [142]

Answer:

A

Step-by-step explanation:

because there variables represent 1 so 1 cant be bigger than one and the other two have real equations

6 0
2 years ago
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