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Setler [38]
2 years ago
13

Robert and Freddie like to go to the library in their town to borrow books. Robert goes to the library every 9 days and Freddie

goes every 12 days. If they met at the library earlier this evening, in how many days will they both next be at the library on the same day again? ​
Mathematics
1 answer:
Gwar [14]2 years ago
3 0

Answer: 36 days

Step-by-step explanation:

that’s the lowest multiple of 9 that also is a multiple of 12. It’s the LCF aka Least Common Factor

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Mickey works in a square shaped office. The area of his office is 110.25 ft2. What is the length of one side of Mickey’s office?
krek1111 [17]

Answer: A formula that can be used to find the answer is (x Squared = 110.25) So (x times x = 110.25) 10.5 is the length of one side because 10.5 squared = 110.25.

Answer is 10.5


4 0
3 years ago
The volume of a right circular cone is 1,780.38 in3. If the height of the cone is 21 in, what is the diameter of the cone? (Use
iragen [17]

Answer:

18

Step-by-step explanation:

volume of cone=πr²*h/3  

21/3=7, 3.14*7=21.98,1780.38/21.98=81,square root of 81=9,9+9+18

3 0
3 years ago
Graph the function.
disa [49]

Answer:

Line passing through (0,2),(1,-21).

Step-by-step explanation:

y=-23x+2\\at\ y\ axis\ x=0\\y=-23\times0+2\\y=2

hence this line passes through (0,2).

When x=1

y=-23\times1+2\\y=-21

Hence this line passes through (1,-21).

Graph is attached.

3 0
3 years ago
Solve the inequality and the solution to the graph
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7 0
3 years ago
What is the solution of -8/2y-8=5/y+4 - 7y+8/y^2-16
blsea [12.9K]

Answer:

<h2>y = 8</h2>

Step-by-step explanation:

Domain:\\\\2y-8\neq0\ \wedge\ y+4\neq0\ \wedge\ y^2-16\neq0\\\\2y\neq8\ \wedge\ y\neq-4\ \wedge\ y^2\neq16\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq\pm\sqrt{16}\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq-4\ \wedge\ y\neq4\\\\\boxed{y\neq-4\ \wedge\ y\neq4}\\\\===========================

\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-4^2}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}\qquad\text{multiply both sides by (-2)}\\\\\dfrac{8}{y-4}=-\dfrac{10}{y+4}+\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{add}\ \dfrac{10}{y+4}\ \text{to both sides}\\\\\dfrac{8}{y-4}+\dfrac{10}{y+4}=\dfrac{14y+16}{(y-4)(y+4)}

\dfrac{8(y+4)}{(y-4)(y+4)}+\dfrac{10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{8(y+4)+10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{use the distributive property}\\\\\dfrac{8y+32+10y-40}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{combine like terms}\\\\\dfrac{(8y+10y)+(32-40)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{18y-8}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\iff18y-8=14y+16\\\\18y-8=14y+16\qquad\text{subtract 14y from both sides}

4y-8=16\qquad\text{add 8 to both sides}\\\\4y=24\qquad\text{divide both sides by 4}\\\\y=8\in D

8 0
3 years ago
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