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natka813 [3]
3 years ago
15

An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars w

ere removed, the ratio of horseshoe crabs to sea stars was 5:3. How many horseshoe crabs and sea stars were there at first? Solve this problem and explain your reasoning.
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer:

45 horseshoe crabs and 45 sea stars

Step-by-step explanation:

The aquarium initially contained x crabs and x sea stars.

"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"

(x-15):(x-27) = 5:3

(x-15)/(x-27) = 5/3

3(x-15) = 5(x-27)

3x-45 = 5x-135

90 = 2x

x = 45

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Convert: a. 48 m^2 to ________________ cm^2
Lubov Fominskaja [6]

Step-by-step explanation:

1 m = 100 cm So

48 × 100 = 4800 cm

1m = 1000mm

456 mm into m

= 456 ÷ 1000

= 0.456 m

4 0
4 years ago
Whats the answer to this?​
kramer

ZillaKami:

Ghostemane

3 0
3 years ago
Pls help me I will make you brain
taurus [48]

Answer:

1

Step-by-step explanation:

f(0) is another way of saying 'what is Y when X is 0'. If you look at the graph, when X is 0, Y is 1.

5 0
3 years ago
Can anybody help me???​
Tasya [4]

#10

\\ \rm\longmapsto 0

#11

  • Last three i.e Option B,C,D

#13

It started from negative ends at positive hence

\\ \rm\longmapsto y=-|x|+2

#14

  • (-3,-10)

\\ \rm\longmapsto 2(-3)-(-10)=4

\\ \rm\longmapsto -6+10=4

  • Proved

#15

  • (1,1)

\\ \rm\longmapsto 1=(1-2)^2=(-1)^2=1

#16

  • (2,-4)

\\ \rm\longmapsto -2-2(-4)>3

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5 0
3 years ago
-3(3x+15)-(10+x)=35<br>What is the answer to this ques5
Misha Larkins [42]
Solve for x:
-3 (3 x + 15) - (x + 10) = 35

-3 (3 x + 15) = -9 x - 45:
-9 x - 45 - (x + 10) = 35

-(x + 10) = -x - 10:
-9 x + -x - 10 - 45 = 35

Grouping like terms, -x - 9 x - 45 - 10 = (-9 x - x) + (-45 - 10):
(-9 x - x) + (-45 - 10) = 35

-9 x - x = -10 x:
-10 x + (-45 - 10) = 35

-45 - 10 = -55:
-55 - 10 x = 35

Add 55 to both sides:
(55 - 55) - 10 x = 55 + 35

55 - 55 = 0:
-10 x = 35 + 55

35 + 55 = 90:
-10 x = 90

Divide both sides of -10 x = 90 by -10:
(-10 x)/(-10) = 90/(-10)

(-10)/(-10) = 1:
x = 90/(-10)

The gcd of 90 and -10 is 10, so 90/(-10) = (10×9)/(10 (-1)) = 10/10×9/(-1) = 9/(-1):
x = 9/(-1)

Multiply numerator and denominator of 9/(-1) by -1:

Answer: x = -9
7 0
4 years ago
Read 2 more answers
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