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JulijaS [17]
3 years ago
8

At a pet store, one fifth of the animals are cats and three-fourth are fish. There are 40 animals at the pet store. How many are

mot cats or fish? Show your thinking

Mathematics
1 answer:
dybincka [34]3 years ago
7 0

Answer:

2 animals

Step-by-step explanation:

Number of animals=40

Fraction of fish=3/4

=>number of fish=3/4*40=30

Fraction of cats=1/5

=>number of cats=1/5*40=8

Animals which are not cats or fish are=total number of animals-(number of cats + number of fish)

Animals which are not cats or fish=40-(8+30)

40-38

2 animals


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What is the m∠N ? Can someone help me :)
Sauron [17]

Answer:

<h2>61°</h2>

Step-by-step explanation:

Use the sine law:

\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}

We have:

MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924

Substitute:

\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}         <em>cross multiply</em>

6\sin(\angle N)=(18)(0.2924)

6\sin(\angle N)=5.2632          <em>divide both sides by 6</em>

\sin(\angle N)=0.8772\to m\angle N\approx61^o

4 0
3 years ago
Find the width of the rectangular prism when the surface area is 208 square centimeters.
ozzi
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
7 0
3 years ago
If a = b, then a - c ____ equals b - c. Select one: a. always b. sometimes c. never
FromTheMoon [43]

Always

a=b

subtract c from each side

a-c = b-c

8 0
3 years ago
2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.
Dennis_Churaev [7]
We need a picture or dimensions

6 0
3 years ago
Read 2 more answers
What is the slope and y-intercept of x/3= -y+2 and how?????
Katarina [22]
Subtract 2 from both sides

then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line

so you get y = -1/3x + 2

the y-intercept is (0,2)

the slope is -1/3x (aka -x/3)
6 0
3 years ago
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