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Solve two-step equations: word problems

Genghis Motors wants to build cars and motorbikes on a budget. The company plans to spend at most $75000\$75000 and use at least 320320 workers to build cars and motorbikes.\newline8000C+5500M≤750008000C+5500M \leq 75000 represents the number of cars CC and motorbikes MM the company can build by spending at most $75000\$75000.\newline52C+38M≥32052C+38M \geq 320 represents the number of cars and motorbikes the company can build by using at least 320320 workers.\newlineCan the company meet both of its expectations by building 44 cars and 66 motorbikes?\newlineChoose 11 answer:\newline(A) The company meets both of its expectations.\newline(B) The company uses the expected amount of money but not the expected number of workers.\newline(C) The company uses the expected number of workers but not the expected amount of money.\newline(D) The company doesn't meet either of its expectations.
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Chapter 99: Solving Quadratic Equations by Completing the Square > Section Exercises \newline99.33 > Exercise 2222\newlineSolve \newline2x2−8x=102x^{2}-8x=10 by completing the square. Select the solution(s).\newline\newlinex=−9x=-9\newlinex=−8x=-8\newlinex=−7x=-7\newlinex=−6x=-6\newlinex=−5x=-5\newline\newlinex=−4x=-4\newlinex=−3x=-3\newlinex=−2x=-2\newlinex=−1x=-1\newlinex=0x=0\newline\newlinex=−8x=-800\newlinex=−8x=-811\newlinex=−8x=-822\newlinex=−8x=-833\newlinex=−8x=-844\newline\newlinex=−8x=-855\newlinex=−8x=-866\newlinex=−8x=-877\newlinex=−8x=-888\newlineno real solution\newline\newlinecalculator\newlineneed help?
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Design an Ultimate Circle!\newlineName:\newline \qquad Answer Key\newlineGiven information: MRV=74mWP=3Q M R V=74 \quad m W P=3 \quad Q is tangent to X X at U U \newlinex x is the center mzS=5mPO=9 m z S=5 \quad m P O=9 \newline2y 2 y is the diameter MSU=8MQR=4 M S U=8 \quad M Q R=4 \newlinem 260=60 mUY=46mωS=16 m∠WPO=50 260=60 \mathrm{~m} U Y=46 \mathrm{m \omega S}=16 \mathrm{~m} \angle \mathrm{WPO}=50 \newline(11) Inscribed Angle/Arc:\newlinem∠ZUω=66/2=33∘ m \angle Z U \omega=66 / 2=33^{\circ} \newline(44) Central Angle / Arc:\newlinem∠z×W=66∘ m \angle z \times W=66^{\circ} \newline (3) Tangent / Chord: m∠WUN=180−66=114114+46=160160/2=80∘1 \begin{array}{l} \text { (3) Tangent / Chord: } \\ m \angle W U N=180-66=114 \\ 114+46=160 \\ 160 / 2=80^{\circ} 1 \end{array} \newline(1010)\newlineAngles inside circle:\newlinem∠UVY=66+462112/2=156∘∣ \begin{array}{l} m \angle U V Y=\frac{66+46}{2} \\ 112 / 2=156^{\circ} \mid \end{array} \newlineAngles outside circle\newlinem∠RQU=180−66=114 m \angle R Q U=180-66=114 \newline114+46=160160−742=∣43∘∣ 114+46=160 \quad \frac{160-74}{2}=\left|43^{\circ}\right| \newlineSeyment of chords:\newlinemRS‾=10x=5(8)10x=40x=14 \begin{array}{l} m \overline{R S}=10 x=5(8) \\ 10 x=40 \quad x=14 \end{array} \newline(22) Segment of secants:\newline mYO =51=16+4x35=4yx=18.751 \begin{aligned} \text { mYO }=51 & =16+4 x \\ 35 & =4 y \\ x & =18.751 \end{aligned} \newline(55)\newlinesegment of secants and tangents:\newlinemQU‾= m \overline{Q U}= \newline(22)\newlineTriangle sum theor MRV=74mWP=3Q M R V=74 \quad m W P=3 \quad Q 00\newlineAnswers:\newlineO Anna Taylor\newlinehttp://www.teacherspayteachers.com/store/piece-of.-Pi
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Two cars are driving towards an intersection from perpendicular directions.\newlineThe first car's velocity is 1010 meters per second and the second car's velocity is 66 meters per second.\newlineAt a certain instant, the first car is 44 meters from the intersection and the second car is 33 meters from the intersection.\newlineWhat is the rate of change of the distance between the cars at that instant (in meters per second)?\newlineChoose 11 answer:\newline(A) −11-11.66\newline(B) −10-10.88\newline(C) −5-5\newline(D) −136 -\sqrt{136}
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The following trial balance of The Shire Golf Club was extracted from the books as on 3131 December 20232023:\newline\begin{tabular}{|c|c|c|}\newline\hline 20232023: & Dr & Cr \mathrm{Cr} \\\newline\hline & E & £ £ \\\newline\hline Clubhouse & 142142,000000 & \\\newline\hline Equipment & 1818,600600 & \\\newline\hline Profits from raffles & & 66,508508 \\\newline\hline Subscriptions received & & \\\newline\hline Wages of bar staff & 2929,200200 & \\\newline\hline Bar stocks 11 January 20232023 & 22,400400 & \\\newline\hline Bar purchases and sales & 4141,300300 & 8484,600600 \\\newline\hline Greenkeepers' wages & 2121,500500 & \\\newline\hline Golf professional's salary & 3737,000000 & \\\newline\hline✓ \checkmark General expenses & 910910 & \\\newline\hline Cash at bank & 33,924924 & \\\newline\hline Accumulated fund at 11 January 20232023 & & 29,326303,834 \frac{29,326}{303,834} \\\newline\hline\newline\end{tabular}\newlineADDITIONAL NOTES\newlinei. Bar purchases and sales were on a cash basis. Bar stocks at 3131 December 20232023 were valued at i. £6,410 £ 6,410 .\newlineii. Subscriptions paid in advance by members at 3131 December 20232023 amounted to £1,870 £ 1,870 .\newlineiii. Provide for depreciation of equipment £2,400 £ 2,400 .\newlineYou are required to:\newline(a) Draw up the bar trading account for the year ended 3131 December 20232023.\newline(b) Draw up the income and expenditure account for the year ended 3131 December 20232023, and a balance sheet as at 3131 December 20232023.
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The expenses and income of an individual are given in table form. Find the net monthly cash flow (it could be positive or negative). Assume salaries and wages are after taxes, that 11 month =4 =4 weeks, and that 11 yere −12-12 months. Round your answer to the nearest dollar.\newline\begin{tabular}{|c|c|}\newline\hline Income & Expenses \\\newline\hline Salany \$\(64500\)/year & Mortagage: \( \$ 3450 / \) month \\\(\newline\)\hline Je welry sales: \( \$ 400 / \) month & Groceries: \( \$ 150 / \) week \\\(\newline\)\hline & Household expenses \( \$ 240 / \) month \\\(\newline\)\hline & Car ingurance: \( \$ 2150 \) semianrually \\\(\newline\)\hline & \begin{tabular}{l} \(\newline\)Donations: \( \$ 800 \) year \\\(\newline\)Miscellaneous: \( \$ 500 / \) month\(\newline\)\end{tabular} \\\(\newline\)\hline\(\newline\)\end{tabular}
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The expenses and income of an individual are given in table form. Find the net monthly cash flow (it could be positive or negative). Assume salaries and wages are after taxes, that 11 month −4-4 werks and that Iytar - 1212 monthe. Round your answer to the nearest dollar.\newline\begin{tabular}{|c|c|}\newline\hline bincone & Expenses \\\newline\hline Salany \$\(64500\)/year & Mortagage \( \$ 3450 / \) month \\\(\newline\)\hline \multirow[t]{\(4\)}{*}{ Jewelry ales: \( \$ 400 / \) month } & Groceries \( \$ 150 / \) week \\\(\newline\)\hline & Household expenses \( \$ 240 / \) month \\\(\newline\)\hline & Car insurance: \( \$ 2150 \) semiannually \\\(\newline\)\hline & \begin{tabular}{l} \(\newline\)Donations: \( \$ 800 \) year \\\(\newline\)Miscellaneous: \( \$ 500 / \) month\(\newline\)\end{tabular} \\\(\newline\)\hline\(\newline\)\end{tabular}
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incar Relatior x x \newline22nd Period 66th Math 20232023−2024-2024 × \times \newlineapp.studyisland.com/cfw/test/practice-session/a015015a?sessionID=c876876a3951039510\&cratelD=a015015a\&packID=ac247247fc\&qgcount=99b11c66\&qgList=b517517b00ed\&c\newlinekmarks\newlinegrades\newlineStudent\newlineI Remember Everyt.\newlineFRUIT DROP - ONLL.\newlinePractice Session - C \mathrm{C} .\newlineCarnegie Learning |-\newlineelationships\newlineSerena does 1010 minutes of endurance exercises. She plans on doing s s minutes of strength exercises.\newlineComplete the two equations using t t , the total number of minutes Serena will spend exercising.\newlineThen, drag numbers to complete the table of values for s s and t t .\newlinet+10t−10s+10s−10t×10s×1010152025303540 \begin{array}{lllllllllll} t+10 & t-10 & s+10 & s-10 & t \times 10 & s \times 10 & 10 & 15 & 20 & 25 \\ 30 & 35 & 40 & & & & & & & \end{array} \newlinet−10 t-10 \newlines+10 s+10 \newlines- 1010\newlinet×10 t \times 10 \newline× \times 00\newline1010\newline1515\newline2020\newline2525\newline3030\newline3535\newline4040\newlines= s= \newline× \times 11\newlinet= t= \newline× \times 11\newline\begin{tabular}{|c|c|}\newline\hline \begin{tabular}{c} \newlineMinutes of Strength \\\newlineExercises, × \times 33\newline\end{tabular} & \begin{tabular}{c} \newlineMinutes of Total \\\newlineExercise, × \times 44\newline\end{tabular} \\\newline\hline & 2525 \\\newline\hline 2525 & \\\newline\hline & 4040 \\\newline\hline\newline\end{tabular}
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Use the given statement to represent a claim. Write its complement and state which is H0H_{0} and which is HxH_{x}\newlineμ≤509\mu \leq 509\newlineFind the complement of the claim.\newline((□09)/(μ))((\square09)/(\mu))\newlineWhich is H0H_{0} and which is H2H_{2} ?\newlineA. H0:μ≤509H_{0}:\mu \leq 509\newlineB. H0:μ≥509H_{0}:\mu \geq 509\newlineC. H0:μ≤509H_{0}:\mu \leq 509\newlineH8:μ<509H_{8}:\mu < 509\newlineHxH_{x}00\newlineD.\newlineHxH_{x}11\newlineE. H0:μ≤509H_{0}:\mu \leq 509\newlineHxH_{x}33\newlineF.\newlineHxH_{x}44\newlineG. H0:μ≤509H_{0}:\mu \leq 509\newlineH. HxH_{x}66\newlineL.\newlineHxH_{x}77
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Dominique is allowed to play up to 88 hours of video games this week. They want to play video games for at least 44 hours this weekend. Which of the following can be used to represent t t , the number of hours they can play video games before the weekend?\newlineChoose 11 answer:\newline(A) 8−t≥4 8-t \geq 4 \newline(B) 8−t≤4 8-t \leq 4 \newline(C) t−8≥4 t-8 \geq 4 \newline(D) t−8≤4 t-8 \leq 4
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