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max2010maxim [7]

1 year ago

13

Ms. Donaldson earns $20.00 per hour for the first 40 hours she works in a week. She earns 1 and 1/2 times that amount per hour f

or each hour beyond 40 hours in a week. Last week Ms. Donaldson worked 45.5 hours. How much money did she earn?

1 answer:

My name is Ann [436]1 year ago

3 0

Answer:

Mrs. Donaldson earned 907.20 dollars.

Step-by-step explanation:

907.20

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In the following exercise, does the problem involve permutations or combinations? Explain your answer. One hundred people purc

Blizzard [7]

Answer: Permutation is involved , since order of prizes matters.

The number of different ways the prizes can be awarded =95060

Step-by-step explanation:

Given : Total number of people purchase lottery tickets =100

The number of prizes = 3

Since each prize can be claimed by only one person.

So order matters here, there for we use permutations .

The number of permutations of n objects taken m at a time is given by :-

$^nP_m=\dfrac{n!}{(n-m)!}$

Then, the number of different ways the prizes can be awarded :-

$^{100}P_{3}=\dfrac{100!}{(100-3)!}=\dfrac{100!}{97!}\\\\=100\times98\times97=950600$

0 0

3 years ago

Help me please !!!!!!!!!!!

Mkey [24]

Answer:

s=5

Step-by-step explanation:

As you can see, you have a whole block that is 20. Then you have another block that is broken down to 4 squares.

So....

4s=20

divide 4 to 4s

divide 4 by 20

so s=5

8 0

2 years ago

Read 2 more answers

In △ABC, a=31, b=22, and c=18. Identify m∠A rounded to the nearest degree. HELP ME PLEASE!!

4vir4ik [10]

Answer:

The measure of angle A is $101\°$

Step-by-step explanation:

we know that

Applying the law of cosines

$a^{2} =b^{2}+c^{2}-2(b)(c)cos(A)$

substitute the values and solve for cos(A)

$31^{2} =22^{2}+18^{2}-2(22)(18)cos(A)$

$cos(A)=[22^{2}+18^{2}-31^{2}]/(2(22)(18))\\ \\cos(A)=-0.193182\\ \\A=arccos(-0.193182)=101\°$

3 0

3 years ago

Graph the function f(x) = (x + 1)(x - 5). Use the drop-

hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0

3 years ago

4. What is the measure of angle ABD in the figure below?*<br> D<br> 2x<br> A<br> B<br> с

katovenus [111]

Answer:

Measure of exterior angle ABD = 136°

Step-by-step explanation:

Given:

measure of ∠A = (2x + 2)°

measure of ∠C = (x + 4)°

measure of ∠B = x°

Find:

Measure of exterior angle ABD

Computation:

Using angles sum property

∠A + ∠B + ∠C = 180°

So,

(2x + 2) + (x + 4) + x = 180

4x + 6 = 180

4x = 176

x = 44

So,

measure of ∠B = x°

measure of ∠B = 44°

Measure of exterior angle ABD = 180 - measure of ∠B

Measure of exterior angle ABD = 180 - 44

Measure of exterior angle ABD = 136°

4 0

3 years ago