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Questions in Grade High-school

[Answered] Solve $\frac{1}{2}+\frac{1}{2 x}=\frac{x^2-7 x+10}{4 x}$ by rewriting the equation as a proportion. Which proportion is equivalent to the original equation? $\frac{x+2}{2 x}=\frac{x^2-7 x+10}{4 x}$ $\frac{x-1}{2 x}=\frac{x^2-7 x+10}{4 x}$ $\frac{x+1}{2 x}=\frac{x^2-7 x+10}{4 x}$

[Answered] Find the percent of tip: Cost of meal: $28.00 Tip: $3.60

[Answered] Fill in the parts-whole model for the following equation: $(\stackrel{( }{)})=5-11$

[Answered] Solve: $-5(3x-4)+4=114$

[Answered] Many checking accounts offer multiple ways of accessing money in addition to checks. Which of these can be used to access money in a checking account? A. debit card B. credit card C. certificate of deposit D. passbook

[Answered] What are the solutions to the following system? $\begin{array}{l} -2 x^2+y=-5 \\ y=-3 x^2+5 \end{array}$ A. $(\sqrt{5},-10)$ and $(-\sqrt{5},-10)$ B. $(0,2)$ C. $(1,-2)$ D. $(\sqrt{2},-1)$ and $(-\sqrt{2},-1)$

[Answered] Brianna solved a two-step equation, but she made a mistake along the way. $\begin{aligned} 0.1 x+3 & =1.7 \\ (-3)+0.1 x+3 & =1.7+(-3) \\ 0.1 x & =-1.3 \quad \text { Line } 1 \\ (-0.1)+0.1 x & =-1.3+(-0.1) \text { Line } 2 \\ x & =-1.4 \quad \text { Line } 4 \end{aligned}$ What mistake did Brianna make? A. On Line 1, Brianna should have subtracted 3 instead of adding -3. B. On Line 1, Brianna violated the addition property of equality. C. On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1. D. On Line 3, Brianna violated the addition property of equality.

[Answered] Substituting $y=-2$ back into the first equation gives: $-2 x+\square=-12$

[Answered] 2. 186 + 62 + 7 × 3 5. (100 - 50 × 4 + 2) + 3

[Answered] Dimension of the lamp shade: Height = 31 cm Diameter = 200 mm The following formulae may be used: Circumference = π x diameter Area of a circle = π x Radius², where π = 3.142 Area of a rectangle = length x breadth Use the information above to answer the questions that follow. 4.1 Explain the term circumference in this context. 4.2 Calculate the circumference of the lamp shade in centimetres.