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
baherus [9]
2 years ago
10

Morgan earned $70.00 at her job when she worked for 4 hours. How much money did she earn each hour?

Mathematics
1 answer:
Mila [183]2 years ago
4 0

Answer:

divide the 70.00 by the four hours

Step-by-step explanation:

You might be interested in
In a sample of digits(0,1,2,3,4,5,6,7,8,9,) what is the probability that a digit is 7 or greater
ad-work [718]

Answer:

\frac{3}{10}

Step-by-step explanation:

There are 10 numbers in total. Only three are 7 or greater: 7, 8, 9.

So the answer is \frac{3}{10}.

8 0
3 years ago
One recipe makes 8 1/2 cups of potato salad. If one serving is 1/2 cup, how many servings does the recipe make?
Aleonysh [2.5K]

Answer:

17

Step-by-step explanation:

8.5 / 0.5

7 0
2 years ago
Use the pie chart below to answer the following question.
Airida [17]

notice in the chart, the big yellow and the big orange, 23% and 29%, which make up 23+29 = 52%, more than 50%.

and the ages range is 18-25 and 26-34, namely 18 - 34.

7 0
3 years ago
Please determine whether the set S = x^2 + 3x + 1, 2x^2 + x - 1, 4.c is a basis for P2. Please explain and show all work. It is
ohaa [14]

The vectors in S form a basis of P_2 if they are mutually linearly independent and span P_2.

To check for independence, we can compute the Wronskian determinant:

\begin{vmatrix}x^2+3x+1&2x^2+x-1&4\\2x+3&4x+1&0\\2&4&0\end{vmatrix}=4\begin{vmatrix}2x+3&4x+1\\2&4\end{vmatrix}=40\neq0

The determinant is non-zero, so the vectors are indeed independent.

To check if they span P_2, you need to show that any vector in P_2 can be expressed as a linear combination of the vectors in S. We can write an arbitrary vector in P_2 as

p=ax^2+bx+c

Then we need to show that there is always some choice of scalars k_1,k_2,k_3 such that

k_1(x^2+3x+1)+k_2(2x^2+x-1)+k_34=p

This is equivalent to solving

(k_1+2k_2)x^2+(3k_1+k_2)x+(k_1-k_2+4k_3)=ax^2+bx+c

or the system (in matrix form)

\begin{bmatrix}1&1&0\\3&1&0\\1&-1&4\end{bmatrix}\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}a\\b\\c\end{bmatrix}

This has a solution if the coefficient matrix on the left is invertible. It is, because

\begin{vmatrix}1&1&0\\3&1&0\\1&-1&4\end{vmatrix}=4\begin{vmatrix}1&2\\3&1\end{vmatrix}=-20\neq0

(that is, the coefficient matrix is not singular, so an inverse exists)

Compute the inverse any way you like; you should get

\begin{bmatrix}1&1&0\\3&1&0\\1&-1&4\end{bmatrix}^{-1}=-\dfrac1{20}\begin{bmatrix}4&-8&0\\-12&4&0\\-4&3&-5\end{bmatrix}

Then

\begin{bmatrix}k_1\\k_2\\k_3\end{bmatrix}=\begin{bmatrix}1&1&0\\3&1&0\\1&-1&4\end{bmatrix}^{-1}\begin{bmatrix}a\\b\\c\end{bmatrix}

\implies k_1=\dfrac{2b-a}5,k_2=\dfrac{3a-b}5,k_3=\dfrac{4a-3b+5c}{20}

A solution exists for any choice of a,b,c, so the vectors in S indeed span P_2.

The vectors in S are independent and span P_2, so S forms a basis of P_2.

5 0
3 years ago
Jill bought oranges and bananas. she bought 12 pieces of fruit and spent $5. Oranges cost $0.50 each and bananas cost $0.25 each
inysia [295]
The first part is 0.5x+0.25y= $12.00
3 0
3 years ago
Other questions:
  • What is the answer to this problem
    10·1 answer
  • What is the median score for the history class final test score
    8·1 answer
  • Please show me how to do this!!
    7·1 answer
  • Lesson 22 exit ticket
    14·1 answer
  • Two supplementary angles have measurements of (3x)° and (10x – 15)°. What are the measures of the
    9·1 answer
  • Question 5 I would greatly appreciate help. Click the picture to enlarge
    11·1 answer
  • Is 100/150 equivalent to 3/5
    5·2 answers
  • What is the equation of the line that passes through the point (-4,-6) and has an undefined slope?
    15·1 answer
  • 13 ft<br> 8 ft<br> Jjjjjjjjjjjjj
    9·1 answer
  • Write the equation of the line that passes through 7, 0 and is parallel to y = -3x + 4​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!