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Rufina [12.5K]
2 years ago
11

There are 32 students in the 6th grade at Garden Valley Middle School. Eight of them have freckles. What is the ratio of 6th gra

ders with freckles to the total number of 6th graders?
A. 4:1
B. 1:3
C. 1:4
D. 3:1
Mathematics
2 answers:
Phantasy [73]2 years ago
8 0
A is the answer to the question


Irina-Kira [14]2 years ago
8 0
The answer is C.

32 times x = 8

x = 1/4

1/4 = 1:4

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The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta
snow_lady [41]

Answer:

The rectangle:  <u>L = 40 yards.   W = 5 yards</u>

The square: The length and width are both <u>5 yards</u>.

Step-by-step explanation:

<u>Let L and W be the length and width of the rectangle. </u>

<u>Let l and w be the length and width of the square.</u>

Area for each is:

Rectangle:  L*W

Square:       l*w

We are told that <u>L*W + l*w = 225 yards^2</u>

We are also told that

<u>L = 8W </u>

and that

<u>l = W</u>

Since the sides of a square are all equal, w is also W:  <u>w=W</u>

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2  = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W <u>,</u> <u>L = 40 yards.   W = 5 yards</u> for the rectangle.

The square:  l=W, so <u>l = 5 yards, and thus w=5 yards</u>

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0
1 year ago
Footware manufacturing is projected to decrease output by 8.4% from 2006 to 2016. if footware manufacturing had 1.8 billion doll
hram777 [196]

Answer:

d. about $1.65 billion

Step-by-step explanation:

$1.8 billion × .916 = $1.6488 billion, or about $1.65 billion

8 0
1 year ago
Two parallel lines are cut by a transversal such that two alternate interior angles are formed. If one of the angles is 72 degre
levacccp [35]

Answer:

x=18

Step-by-step explanation:

5x+2=72

    -2  -2

5x=70

---------

  5

x=18

3 0
3 years ago
angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as
Gwar [14]
We know that
sin²x+cos²x=1
so 
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

7 0
2 years ago
Toby the cat had quite a day. Toby caught 14 mice and ate 9 of them. How many mice does Toby still HAVE TO eat?
schepotkina [342]

Answer:

5

Step-by-step explanation:

14-9 = 5

3 0
2 years ago
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