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Questions in mathematics

[Jawaban] Which of the following is true? A. 8 multiplied by 4 is equal to 4 divided by [tex]$8 (8 \times 4=4 \div 8)$[/tex] B. 8 multiplied by 4 is equal to 4 multiplied by [tex]$8 (8 \times 4=4 \times 8)$[/tex] C. 8 divided by 4 is equal to 4 multiplied by [tex]$8 (8 \div 4=4 \times 8)$[/tex] D. 8 divided by 4 is equal to 4 divided by [tex]$8 (8 \div 4=4 \div 8)$[/tex]

[Jawaban] Which of the following is a simplification of \[\frac{2 x^2-9 x-18}{x^2-6 x}-\frac{3 x^2+8 x-3}{x^2+3 x}\] A. \[\frac{4}{x}-1\] B. \[\frac{2}{x}-1\] C. \[2-\frac{1}{x}\] D. \[\frac{4}{x}-2\] E. \[4-x\]

[Jawaban] Select the correct answer. The length, [tex]l[/tex], of the shadow cast by an object varies directly as the height, [tex]h[/tex], of the object. If [tex]k[/tex] is the constant of variation, which equation represents this situation? A. [tex]1+h=k[/tex] B. [tex]l h=k[/tex] C. [tex]l=h k[/tex] D. [tex]l=h+k[/tex]

[Jawaban] In which triangle is the value of $x$ equal to $\cos ^{-1}\left(\frac{4.3}{6.7}\right) ? (Images may not be drawn to scale.)

[Jawaban] $2 \frac{125}{100} =$

[Jawaban] A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket? [tex]\begin{array}{l} 2 a+4 c=38.00 \\ 3 a+3 c=40.50 \end{array}[/tex] What values of [tex]$a$[/tex] and [tex]$c$[/tex] represent the solution to the system? [tex]$a=\square$[/tex] [tex]$c=\square$[/tex]

[Jawaban] Arrange the routes in increasing order of distance. Route 1: 1199 km Route 2: 1121 km Route 3: 1185 km Route 4: 1115 km

[Jawaban] Count backward and write: 115 132 164 198 277 351 243 465

[Jawaban] Find three positive integers x, y, and z that satisfy the given conditions. The product is 64 and the sum is a minimum. (x, y, z) = ( )

[Jawaban] Which equation represents a circle with a center at $(-3,-5)$ and a radius of 6 units? A. $(x-3)^2+(y-5)^2=6$ B. $(x-3)^2+(y-5)^2=36$ C. $(x+3)^2+(y+5)^2=6$ D. $(x+3)^2+(y+5)^2=36