On Friday afternoon, Maya realizes that she has put off her reading for too long and that she needs to finish her book by Monday. The book is 265 pages long. She is on page 127. How many pages will she need to read each night to finish the book before school on Monday morning?

Answers

Answer 1
Answer:

Answer:

46 pages every night

Step-by-step explanation:

If she needs to finish the book by Monday morning it means that Sunday night is the last night that she has to read the book. Therefore she has 3 nights to finish the book (Friday, Saturday, and Sunday night). Since she is on page 127 it means that she has 138 pages left (265 - 127 = 138) to read before Monday morning. We can calculate the number of pages she needs to read each night by dividing the total pages she has left by the number of days she has to read like so...

138 / 3 = 46 pages per day

Finally, we can see that Maya needs to read a minimum of 46 pages every night in order to finish the book before Monday morning.


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There are 125 people and three door prizes. How many ways can three door prizes of $50 each be distributed? How many ways can door prizes of $5,000, $500 and $50 be distributed?

Answers

We have been given that there are 125 people and three door prizes.

In the first part we need to figure out how many ways can three door prizes of $50 each be distributed?

Since there are total 125 people and there are three identical door prices, therefore, we need to use combinations for this part.

Hence, the required number of ways are:

_(3)^(125)\textrm{C}=(125!)/(122!3!)=(125*124*123)/(1*2*3)=317750

In the next part, we need to figure out how many ways can door prizes of $5,000, $500 and $50 be distributed?

Since we have total 125 people and there are three prices of different values, therefore, the required number of ways can be figured out by using permutations.

_(3)^(125)\textrm{P}=(125!)/(122!)=125*124*123=1906500


ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ?

Answers

Given : - Square ABCD with side 3.  E and F as midpoints.
To find : - area of EBFD

Solution : - We have, area of square ABCD = 3 x 3 = 9 units.

Thus, (ar)EBFD = ar ABCD - ar DAE - arDCF

arDAE = 1/2 x base x height

=1/2 x 1.5 x 3 ( AE is 1/2 of AB = 1.5, DA is altitude)
= 2.25

arDFC = 1/2 x base x height 
= 1/2 x 1.5 x 3 (FC is 1/2 of BC, DC is altitude)
= 2.25

Thus, (ar) EBFD = arABCD - arDAE - arDCF

= 9 - 2.25 - 2.25

= 4.5 units.

Thus, area of quad EBFD is 4.5 units.  

A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³.What is the scale factor?

Enter your answer, as a decimal or a fraction in simplest form, in the box.

Answers

Answer: The scale factor is 0.125.

Step-by-step explanation:

Given: The volume of the prism=360\ yd^3

The scaled volume of the prism=45\ yd^3

We know that when we scaled a shape by a scale factor k, then we multiply k to the dimension of the original shape.

So, to find the scale factor k, we need to the divide the scaled volume  by the volume of prism , we get

k=\frac{\text{scaled volume of the prism}}{\text{volume of the prism}}=(45)/(360)=(1)/(8)=0.125

Hence, the scale factor k = 0.125

45/360 and reduce
45/360 =15/120 = 5/40 = 1/8

The scale factor is 1/8

Differentiate between interest and interest rate​

Answers

Answer:

Interest:

Interest is the cost of borrowing money, and the money you earn from your savings.

Interest rate

Interest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the bank)

jess bregoli◍❤

#keeplearning!!

27/45=_/5?
2/6=_/3?jjjjjj

Answers

Answer:

27/45=3/5

2/6=1/3

Step-by-step explanation:

What is the solution to the quadratic equation 8m^2+7m-15=-7 ?

Answers

make equal to zero
add7 both sides
8m^2+7m-8=0
quadratic fomrula

if you have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

8m^2+7m-8=0
a=8
b=7
c=-8

x=\frac{-7+/- \sqrt{7^(2)-4(8)(-8)} }{2(8)}
x=(-7+/- √(49+256) )/(16)
x=(-7+/- √(305) )/(16)

x=(-7+ √(305) )/(16) or x=(-7- √(305) )/(16)

aprox
x=-1.52902 or 0.654016