1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
allsm [11]
2 years ago
6

A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$. Option

B is a commission rate of ​8% on weekly sales. How much does he need to sell this week to earn the same amount with the two​ options?
Mathematics
1 answer:
steposvetlana [31]2 years ago
3 0

Answer:

12500

Step-by-step explanation:

25 * 40 = 1000

8% of what = 1000?

8/100 x = 1000

x 12500

You might be interested in
I need this please 64 points!
myrzilka [38]

Answer:

None. Wanda's work is correct.

Step-by-step explanation:

The first is correct.

3 0
3 years ago
Read 2 more answers
1) Given P(A) = 0.3 and P(B) = 0.5, do the following.
Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

P(A) = 0.3 and P(B) = 0.5

Let us learn about a formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

P(A\ and\ B) = P(A \cap B) = 0

Using above formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}

(b)  P(A and B) = 0.2

Using above formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}

*************************************

1) Given

P(A) = 0.4 and P(B) = 0.2

Let us learn about a formula:

P(A\ and\ B) = P(B) \times P(A/B)  for dependent events

P(A\ and\ B) = P(A) \times P(B) for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}

(b)  P(A / B) = 0.7

Using above formula:

P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}

6 0
3 years ago
Please help and show your work ( no links or files) plz
mr_godi [17]

Answer:

Step-by-step explanation:

Use the formula for the area of a triangle,

Area of a triangle = \frac{1}{2}(\text{Base})(\text{Height})

7). Area of the triangle = \frac{1}{2}(20)(7.4)

                                       = 74 km²

8). Area of the triangle = \frac{1}{2}(4)(15.4)

                                     = 30.8 cm²

9). Area of the triangle = \frac{1}{2}(16)(7)

                                      = 56 m²

10). Area of the triangle = \frac{1}{2}(11)(7.7)

                                       = 42.35 km²

5 0
3 years ago
Ten tiles numbered 1 through 10 are turned face down. One tile is turned up at random, and a die is rolled and the number is squ
attashe74 [19]

Answer:

18.33333333%. Please mark as brainliest if I’m Correct. :)

Step-by-step explanation:

5 0
3 years ago
For integers a, b, and c, consider the linear Diophantine equation ax C by D c: Suppose integers x0 and y0 satisfy the equation;
Dmitrij [34]

Answer:

a.

x = x_1+r(\frac{b}{gcd(a, b)} )\\y=y_1-r(\frac{a}{gcd(a, b)} )

b. x = -8 and y = 4

Step-by-step explanation:

This question is incomplete. I will type the complete question below before giving my solution.

For integers a, b, c, consider the linear Diophantine equation

ax+by=c

Suppose integers x0 and yo satisfy the equation; that is,

ax_0+by_0 = c

what other values

x = x_0+h and y=y_0+k

also satisfy ax + by = c? Formulate a conjecture that answers this question.

Devise some numerical examples to ground your exploration. For example, 6(-3) + 15*2 = 12.

Can you find other integers x and y such that 6x + 15y = 12?

How many other pairs of integers x and y can you find ?

Can you find infinitely many other solutions?

From the Extended Euclidean Algorithm, given any integers a and b, integers s and t can be found such that

as+bt=gcd(a,b)

the numbers s and t are not unique, but you only need one pair. Once s and t are found, since we are assuming that gcd(a,b) divides c, there exists an integer k such that gcd(a,b)k = c.

Multiplying as + bt = gcd(a,b) through by k you get

a(sk) + b(tk) = gcd(a,b)k = c

So this gives one solution, with x = sk and y = tk.

Now assuming that ax1 + by1 = c is a solution, and ax + by = c is some other solution. Taking the difference between the two, we get

a(x_1-x) + b(y_1-y)=0

Therefore,

a(x_1-x) = b(y-y_1)

This means that a divides b(y−y1), and therefore a/gcd(a,b) divides y−y1. Hence,

y = y_1+r(\frac{a}{gcd(a, b)})  for some integer r. Substituting into the equation

a(x_1-x)=rb(\frac{a}{gcd(a, b)} )\\gcd(a, b)*a(x_1-x)=rba

or

x = x_1-r(\frac{b}{gcd(a, b)} )

Thus if ax1 + by1 = c is any solution, then all solutions are of the form

x = x_1+r(\frac{b}{gcd(a, b)} )\\y=y_1-r(\frac{a}{gcd(a, b)} )

In order to find all integer solutions to 6x + 15y = 12

we first use the Euclidean algorithm to find gcd(15,6); the parenthetical equation is how we will use this equality after we complete the computation.

15 = 6*2+3\\6=3*2+0

Therefore gcd(6,15) = 3. Since 3|12, the equation has integral solutions.

We then find a way of representing 3 as a linear combination of 6 and 15, using the Euclidean algorithm computation and the equalities, we have,

3 = 15-6*2

Because 4 multiplies 3 to give 12, we multiply by 4

12 = 15*4-6*8

So one solution is

x=-8 & y = 4

All other solutions will have the form

x=-8+\frac{15r}{3} = -8+5r\\y=4-\frac{6r}{3} =4-2r

where r ∈ Ζ

Hence by putting r values, we get many (x, y)

3 0
3 years ago
Other questions:
  • A square is divided by its four lines of symmetry. Triangles of different sizes are formed. How many total triangles are formed?
    5·2 answers
  • Four married couples have reserved eight seats in a row at the theater. If they arrange themselves​ randomly, what is the probab
    5·1 answer
  • Converting a fraction to decimal
    10·1 answer
  • In a appropriate environment, guppies reproduce at an astounding rate. A population of reproducing guppies quadruples every mont
    13·1 answer
  • Miranda drinks 12 ounces of soda per day.
    13·2 answers
  • Plz tell me all five and i will give u a brainliest
    7·1 answer
  • Please help I will brainliest!! Really urgent!!
    10·1 answer
  • Would mind give me only answer​
    6·1 answer
  • A group of friends decides to go to the local bowling alley. They can rent the lane for 1 hour at a cost of $ 20 and the shoes a
    8·1 answer
  • Which expression is equivalent to the given expression?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!