Fill in the blanks to express the quantities given in ratio language. Ratios must be expressed in simplest form.Number of Books Read in a Year:
Number of Books Read in a Year:
Number of Books Read in a Year:
Person Books
Lauren 40
40
40
Henry 70
70
70
Jamar 10
10
10
For every books Jamar read, Lauren read books.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

To express the quantities given in ratio language, we need to determine the ratio between the number of books read by each person.

Lauren: For every 10 books Jamar read, Lauren read 40 books. This can be expressed as a ratio of 40:10, which simplifies to 4:1.

Henry: For every 10 books Jamar read, Henry read 70 books. This can be expressed as a ratio of 70:10, which simplifies to 7:1.

Jamar: Since Jamar is the reference point for the ratios, the ratio for Jamar will always be 1:1.

So, the ratios for the number of books read in a year are:

Lauren: 4:1

Henry: 7:1

Jamar: 1:1

These ratios represent the relative quantities of books read by each person in a year, simplifying the comparison between their reading habits.


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Plz help me out! What is the result when x^3 + 6x^2 + 10x + 25 is divided by x+ 5?

James needs 50 tons of dirt for a large construction project. He already has 3 tons of dirt at the construction site. Each dump truck can transport 8 tons of dirt. How many trips does the dump truck need to take to reach 50 tons of dirt?A.
5
B.
6
C.
7
D.
8

Answers

If he already has 3 tons of dirt at the site, He needs 50-3=47 tons to be carried by the truck
Minimum number of trips the truck will need to take=47/8
                                                                          =5.875
But since the truck cannot actually take 5.875 trips, it will take the next whole number of trips so it will take 6 trips.(B)

The measure of distance from one point to another is:mass
volume
length
speed

Answers

The measure of distance from one point to another is 

length.

63360 inches, and the risers of the steps of the capitol building are 8 inches high. Barry is visiting the capitol, and as he climbs up from the one-mile step, his altitude above sea level, in inches, is given by the following sequence: 63,360, 63,368, 63,376, 63,384, 63,392, ... What is Barry's altitude above sea level, in inches, when he is standing on the 55th step above the one-mile step (counting the one-mile step itself as step #1)?

Answers

This is an arithmetic sequence question
The formula for the nth term of a sequence is 1+(n-1)d where a is the first term(63360), n is the 55th term, d is the common difference between consecutive terms(63368-63360)=8
Altitude on 55th step= 63360+(55-1)8
                              =63360+(54x8)
                              =63360+432
                              =63792 inches

Consider the following two circles. Circle P with center (-1, 2) and radius 3 and circle Q with center (3, 4) radius 5. What sequence of transformations will carry circle P onto circle Q? Select all that apply.A. Dilation centered at Q, followed by reflection across the y-axis
B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5
C. Translation (x,y) -> (x+4, y+2), followed by dilation centered at Q
D. Dilation (x+y) -> (3/5x, 3/5y), followed by dilation centered at P
E. Reflection over x-axis followed by rotation of 270 degrees

Answers

Answer:

B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5

Step-by-step explanation:

Circle P.

Centerat (-1, 2).

Radius of 3.

Circle Q.

Center at (3, 4).

Radius of 5.

To carry one circle onto the other, their centers and radius must be the same.

So, circle P must be shifted from (-1, 2) to (3, 4), that means the translation is 4 units to the right side and two units upside, this is the first transformation.

The second transformation must be about stretching the circle P, from a radius of 3 to a radius of 5.

Therefore, the right answer is B.

Answer: Option b and Option c

The coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) . The coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) . What is the sequence of transformations that maps △DEF to △D′E′F′

Answers

Answer:

reflection across the y-axis and translation 2 units right. :)

Step-by-step explanation:

It seems to be a reflection across line x = 1.

Mt. Everest is 29,028 feet high. How many miles in this? (there are 5,280 feet in one mile) Solve.

Answers

That would be about 5.49 miles.


From 29,028 feet, divide that by 5,280 feet. This number gives you the amount of miles, which is roughly 5.49.