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Phoenix [80]
3 years ago
11

The members of a class voted to visit the zoo, museum, or science center on their next field trip. If the zoo got 33% of the vot

e and the science center got 29% of the vote, what percentage of the class voted for the museum?
A. 32%
B. 48%
C. 62%
D. 38%
Mathematics
2 answers:
Kaylis [27]3 years ago
7 0
Answer: A





Hope this helps











Alenkasestr [34]3 years ago
6 0

Answer:

D

Step-by-step explanation:

100-33=67

67-29=38

38%

:3

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Find the length of side A
hammer [34]

Answer:

D) 4

Step-by-step explanation:

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Solve the equation after making an appropriate substitution. X^6-98x^3=3375
Leni [432]
Rearrange x^6-98x^3=3375 to give

x^6-98x^3-3375=0

Let x^3 be a variable 'p' and so we can write x^6 as x^6=(x^3)(x^3)=(p)(p)= p^2

Rewrite the equation in terms of 'p'

p^2-98p-3375 = 0

where a=1, b=-98, c=-3375

using the quadratic formula \frac{-b+ \sqrt{b^2-4ac} }{2a} and subsitute the value of a, b, c

p_1= \frac{-(-98)+ \sqrt{(-98)^2-4(1)(-3375)} }{2} =125

p_2= \frac{-(-98)- \sqrt{(-98)^2-4(1)(-3375)} }{2} =-27

There are two value of p; 125 and -27 

Now we find the value of x

Earlier we substitute x^3 for p and x^6 for p^2

When p=125, x= \sqrt[3]{125}=5
When p = -27, x= \sqrt[3]{-27}=-3

So the final answer is the two values of x; 

x = 5 OR x = -3
3 0
3 years ago
What is the opposite of 8.4
qaws [65]

Answer:

-8.4

Step-by-step explanation:

Because if you want to find the opposite of a number then you find that same number on the other side on the number line for example, -4.5 you would go on the other side and you would get positive 4.5

8 0
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Read 2 more answers
Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Marianna [84]

Step-by-step explanation:

   4    +       3 = 7

petra   robyn    total

  210     /   7          =30

wage     total

              ratio

30× 4  = $120

     <em>Petra's part</em>

30× 3  =  $90

      <em>Robyn’s part</em>

6 0
3 years ago
What is the ratio of the volumes of two similar rectangles, if the ratio of their perimeters is 2:9? ​
erma4kov [3.2K]

Answer:

Step-the base is equal to length * width.

the formula for the volume of a rectangular prism becomes length * width * height.

the ratio of the volume of a three sided figure is the ratio of their corresponding sides cubed.

so if the ratio of their volumes is 125/64, then the ratio of their corresponding sides id 5/4 because 5^3 = 125 and 4^3 = 64.

since the base area is equal to length * widfth, then the ratio of the areas becomes 5^2 / 4^2 which is equal to 25/16.

the ratio of the base area becomes 25/16.

to confirm, use an example:

original prism has dimensions as shown below:

length = 20

width = 40

height = 60

volume = 20 * 40 * 60 = 48000

base area = 20 * 40 = 800

prims that has sides in a ratio of 5/4 to original prism is shown below:

length = 20 * 5/4 = 25

width = 40 * 5/4 = 50

height = 60 * 5/4 = 75

volume = 25 * 50 * 75 = 93750

base area = 25 * 50 = 1250

ratio of the volumes = 93750 / 48000 = 1.953125

ratio of the base areas = 1250 / 800 = 1.5625

125/64 = 1.953125

25/16 = 1.5625

the formulas work.

the ratio of the volume is 125/64

the ratio of the base area is 25/16by-step explanation:

volume = 20 * 40 * 60 = 48000

base area = 20 * 40 = 800

prims that has sides in a ratio of 5/4 to original prism is shown below:

length = 20 * 5/4 = 25

width = 40 * 5/4 = 50

height = 60 * 5/4 = 75

volume = 25 * 50 * 75 = 93750

base area = 25 * 50 = 1250

8 0
2 years ago
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