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ankoles [38]
3 years ago
6

LaVant takes a survey of his class and finds that 1/5 of his classmates watch the same show on friday night. If there are 480 st

udents in his school, about how many of them watch the show? A) 32 B) 48 C) 96 D) 120
Mathematics
1 answer:
atroni [7]3 years ago
4 0

Answer:

Answer C:  96 students

Step-by-step explanation:

Take 1/5 of the 480 total students:

(1/5)(480) = 480/5 = 96

Answer C (96 students) is correct.

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Each of six jars contains the same number of candies. Alice moves half of the candies from the first jar to the second jar. Then
tino4ka555 [31]

Answer:

The number of candies in the sixth jar is 42.

Step-by-step explanation:

Assume that there are <em>x</em> number of candies in each of the six jars.

⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:

\text{Number of candies in the 2nd jar}=x+\fracx}{2}=\frac{3}{2}x

⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:

\text{Number of candies in the 3rd jar}=x+\frac{3x}{4}=\frac{7}{4}x

⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:

\text{Number of candies in the 4th jar}=x+\frac{7x}{4}=\frac{15}{8}x

⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:

\text{Number of candies in the 5th jar}=x+\frac{15x}{16}=\frac{31}{16}x

⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:

\text{Number of candies in the 6th jar}=x+\frac{31x}{32}=\frac{63}{32}x

Now, it is provided that at the end, 30 candies are in the fourth jar.

Compute the value of <em>x</em> as follows:

\text{Number of candies in the 4th jar}=40\\\\\frac{15}{8}x=40\\\\x=\frac{40\times 8}{15}\\\\x=\frac{64}{3}

Compute the number of candies in the sixth jar as follows:

\text{Number of candies in the 6th jar}=\frac{63}{32}x\\

                                                    =\frac{63}{32}\times\frac{64}{3}\\\\=21\times2\\\\=42

Thus, the number of candies in the sixth jar is 42.

4 0
3 years ago
Which Postulate/Theorem below would prove that the triangles shown below are congruent?
velikii [3]

Answer:

Correct answer is <em>D. ASA</em>

<em />

Step-by-step explanation:

Let us first define <em>ASA congruence</em> rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.

In the question figure, we can figure out following conclusions from Triangles \triangle SRT\text{ and }\triangle WXY respectively:

  1. \angle TRS = \angle YXW
  2. Side RS = Side WX
  3. \angle TSR = \angle YWX  

As per the definition of option d) ASA congruence, the triangles are congruent.

3 0
3 years ago
The two-way table shows the number of books of each type in Eliza's home ​what is the probability that a randomly selected refer
Salsk061 [2.6K]

Answer:

B. 0.4

Step-by-step explanation:

Use the definition of the probability

Pr=\dfrac{\text{Number of all favorable outcomes}}{\text{Number of all possible outcomes}}

You have to find the probability that a randomly selected reference book is hard cover. Hence, from the table

  • Number of all possible outcomes = Number of Reference books = 25
  • Number of all favorable outcomes = Number of Hardcover Reference books = 10

So, the probability is

Pr=\dfrac{10}{25}=\dfrac{40}{100}=0.4

6 0
3 years ago
Read 2 more answers
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3, –8); m = –5
Paraphin [41]

Answer:

y+8=-5(x-3)

Step-by-step explanation:

The formula for point-slope form is y-y1=m(x-x1)

The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.

So, start by writing your equation like this: y--8=m(x-3)

For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).

We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)

And there you have it!! The equation is now in point-slope form!!

y+8=-5(x-3) is the final answer!!

Hope that helps you!! Please give me brainliest!!

7 0
2 years ago
Sarahs craft project uses peices of yarn that are 1/8 yard long.She has a peice of yarn that is 3 yards ling.How many 1/8 yard p
motikmotik
Pieces of yarn .... 1/8 yard long (each)
a piece of yarn ... n = 3 yards long
remaining ... 1 1/4 yards = 5/4 yards

If you would like to calculate how many 1/8 yard pieces can Sarah cut and still have 1 1/4 yards left, you can do this using the following steps:

n - 1 1/4 = <span>3 - 1 1/4 </span>= 3 - 5/4 = 12/4 - 5/4 = 7/4 = 1 3/4 yards

7/4 / 1/8 = 7/4 * 8/1 = 14 pieces

Result: Sarah can cut 14 1/8 yard pieces and still have 1 1/4 yards left.

3 0
3 years ago
Read 2 more answers
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