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aivan3 [116]
2 years ago
12

a scientist wants to study 24 stars he studies 1/3 of them one week and 1/4 of them next week how many of them are left to study

?
Mathematics
1 answer:
zvonat [6]2 years ago
4 0
6 because 1/3 of 24 is 8 and 1/4 of 8 is 6
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Raphael graphed the system of equations shown. y = – 3 y = x – 0.8 What is the best approximation for the solution to this syste
Ber [7]
Given ---›

y = -3

&

y = x - 0.8

So,
=> x = y + 0.8

=> x = -3 + 0.8

=> x = -2.2

Therefore, the best approximation for the solution to this system of equations is = (–2.2, –3)
3 0
2 years ago
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What is the Hinge Theorem used to show? A. that two triangles are similar B. the relative lengths of the corresponding sides in
Montano1993 [528]

Answer:

B. The relative lengths of the corresponding sides in two triangles.

Step-by-step explanation:

We know that, Hinge theorem states that if two sides of one triangle is congruent to two sides of another triangle and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.

Or we can also say it as, if two triangles have two congruent sides (sides of equal length), then the triangle with the larger angle between those sides will have a longer third side.

So basically,Hinge theorem compares the relative lengths of the corresponding sides in two triangles.

8 0
2 years ago
Which expression is equivalent to (x^6y^8)^3\x^2y^2
Damm [24]

Answer:

\large\boxed{\dfrac{(x^6y^8)^3}{x^2y^2}=x^{16}y^{22}}

Step-by-step explanation:

\dfrac{(x^6y^8)^3}{x^2y^2}\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=\dfrac{(x^6)^3(y^8)^3}{x^2y^2}=\dfrac{x^{(6)(3)}y^{(8)(3)}}{x^2y^2}=\dfrac{x^{18}y^{24}}{x^2y^2}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=x^{18-2}y^{24-2}=x^{16}y^{22}

5 0
2 years ago
Read 2 more answers
A pile of sand has a weight of 90kg the sand is put into a small bag and a medium bag and a large bag in the ratio 2:3:7
Finger [1]
90kg of sand had been puted in 3 bags but in 2+3+7=12 parts.
90kg/12=7.5kg
Small bag has 2 parts which is 7.5kg*2=15kg
Medium bag has 3 parts which is 7.5kg*3=22.5kg
Large bag has 7 parts which is 7.5kg*7=52.5kg
2:3:7=15kg:22.5kg:52.5kg
15kg+22.5kg+52.5kg=90kg
3 0
2 years ago
A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .
Pani-rosa [81]

After clarification we see the respective diameters are

A = 2.3 \times 10^{-a}

B = 2.3 \times 10^{-b}

We're asked about the ratio

A:B =  2.3 \times 10^{-a} :  2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

A:B=10^{6-4}:1 = 100:1

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.

C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.


8 0
2 years ago
Read 2 more answers
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