Lucy ran 4/5 of a mile on Saturday. She ran 4/5 of a mile on Sunday. How much did she run inboth days? Write your answer in a mixed number

Answers

Answer 1
Answer:

Answer:

1 3/5

Step-by-step explanation:


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A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled. What is theprobability of getting a multiple of 3?Your answer
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Write a system of equations to describe the situation below, solve using substitution, and fillin the blanks.Nora, an office manager, needs to find a courier to deliver a package. The first courier she isconsidering charges a fee of $14 plus $5 per kilogram. The second charges $15 plus $4 perkilogram. Nora determines that, given her package's weight, the two courier services areequivalent in terms of cost. What is the weight? How much will it cost?
Select all points that are on the line through 0,5and 2,8. 4,115,106,1430,5040,60​
Find the value of x.x=

What is the measure of ∠M?A.
53°

B.
65°

C.
81°

D.
98°

Answers

The shape is a quadrilateral, because it has four sides.

And sum of angles in a quadrilateral = 360 degrees.

The angle with no number but just a symbol = 90 degrees.

From the  fourth angle been  M:

Therefore:  90 + 62 + 127 + M = 360

279 + M = 360

M = 360 - 279

M = 81

M = 81°

Option C.

I hope this explains it.

Evaluate: 8x6 + (12-4) divided by 2

Answers

It’s is 28 I will explain how to do it first times 8x6 then subtract 12 and 4 and the two numbers u get add them and then divide it by 2

Find the z-score for the standard normal distribution where: P (z< -a) = 0.2451

Answers

\mathbb P(Z<-a)=0.2451\implies -a\approx-0.69\implies a\approx0.69

1 Which expression is equivalent to 1/3y?• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)

Answers

Answer:

1/6y+1/6(y+12)- 2

Step-by-step explanation:

  • Distribute (1)/(6) through the parentheses :  (1)/(6)y +  (1)/(6)y + 2 - 2
  • Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) :  (1)/(6)y +  (1)/(6)y
  • Calculate the sum : (1)/(3) y

Solution : (1)/(3) y

Answer:

The answer is 1/6y+1/6(y+12)-2

What are the roots of the polynomial equation x3 - 6x= 3x2 - 8? Use a graphing calculator and a system of equations

Answers

Answer:

Hence, the roots of the polynomial equation are:

-2, 1, 4

Step-by-step explanation:

We are asked to find the roots of the polynomial equation:

We can also equate this equation to y to obtain a system of equation as:

and

Hence, the roots of the polynomial; equation are the x-values of the point of intersections of the graph of the system of equations.

Hence, the point of intersection of the two graphs are:

(-2,4), (1,-5) and (4,40)

Hence, the roots of the polynomial equation are:

-2, 1, 4

The function f(x)=101+25x2 is represented as a power series f(x)=∑n=0[infinity]cnxn. Find the first few coefficients in the power series. Some of the other problems only ask for the nonzero coefficients, but in this problem you are supposed to include those coefficents that are 0. Also, this problem is only asking for the coefficients of the power series. It does not want you to include the x's or the powers of x.

Answers

Answer:

\large a_0=101,\;a_1=0,\;a_2=25,\;a_n=0\;for\;n>2

Step-by-step explanation:

Since f(x) is a polynomial, it is a power series by itself with

\large a_0=101,\;a_1=0,\;a_2=25,\;a_n=0\;for\;n>2

On the other hand, the representation of a function as a power series around a given point is unique. This means that these are the only possible coefficients of f as a power series around 0.