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3 years ago

What inequality requires more than one step if the answer is x<-3

1 answer:

4 0

Is the question asking to make up an equality that, in essence, is anything but x+3<0?
In that case:

2x+9<0
2x<-9
x<-9/3
x<-3

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The pet store has 8790 clownfish. they keep 6 fish in one tank . how many tanks do they have?

Gnoma [55]

Answer:

8790 / 6=1465

Step-by-step explanation:

From this question we know that there are a total of 8790 fish, with 6 of them being kept in one tank, and we want to know how many tanks there are. So we do 8790 / 6 which gives us 1465.

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3 years ago

Population density is the number of people per unit of area. The population density of a certain region is 60 people per square

zvonat [6]

Answer: 1380

<u>Step-by-step explanation:</u>

$\dfrac{60\ people}{km^2}\times 23\ km^2\quad =1380\ people$

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4 years ago

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Is there anyone who could solve this? Thanks

Rina8888 [55]

Answer:

a=3r6-b,-3r6-b

Sorry I couldn't figure out how to find B

Step-by-step explanation:

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4 years ago

One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 28. Find the length of t

Nutka1998 [239]

1) If we let the lengths of the legs be x and 2x, then by the Pythagorean theorem,

$x+2x+\sqrt{x^{2}+(2x)^{2}}=28\\3x+x\sqrt{5}=28\\x(3+\sqrt{5})=28\\x=\frac{28}{3+\sqrt{5}} \cdot \frac{3-\sqrt{5}}{3-\sqrt{5}}=21-7\sqrt{5}$

This means that the length of the hypotenuse is:

$\sqrt{5}(21-7\sqrt{5})=\boxed{21\sqrt{5}-35}$

2) (Diagram attached) We know that

$\cos 51^{\circ}=\frac{x}{58}\\x=58 \cos 51^{\circ} \approx \boxed{36.5}$ (in cm)

3) From the Pythagorean identity,

$\sin^{2}\left (\arccos \frac{5}{13} \right)+\cos^{2} \left (\arccos \frac{5}{13} \right)=1\\\left(\frac{5}{13} \right)^{2}+\sin^{2} \left (\arccos \frac{5}{13} \right)=1\\\frac{25}{169}+\sin^{2} \left (\arccos \frac{5}{13} \right)=1\\\sin^{2} \left (\arccos \frac{5}{13} \right)=\frac{144}{169}\\\sin \left (\arccos \frac{5}{13} \right)=\boxed{\frac{12}{13}}$

4) $\frac{\pi}{6}$

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2 years ago

What is 3k-1=7k+2 please help me find the answer

dybincka [34]

3k-1=7k+2
+1 +1
3k=7k+3
-7k -7k
-4k=3
divide each side by -4
/-4 /-4

k=-3/4
or
k=-.75

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3 years ago

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