Question
In the first half of the journey a bus travelled with an average speed of 20 km/hr. If the given average speed for the complete trip made by the bus is 24 km/hr, then calculate the average speed covered by the bus in the second half of the trip.
Hint:
Let the distance of entire journey is D
Distance in half journey = D/2
Let the time taken by bus to cover the 2nd half of the journey be x kmph .
By using Time = (distance )/ Avg. speed
Find the total time ,and time covered in 1st half and time covered in 2nd half
We know total time = time covered in 1st half + time covered in 2nd half
The correct answer is: 30kmph.
Ans :- The average speed covered by bus in the second half of the journey = 30kmph.
Explanation :-
Avg. Speed in 1 st half of journey is 20kmph
Avg. Speed in entire journey is 24 Kmph
Let the time taken by bus to cover the 2nd half of the journey be x kmph .
Step 1:- Find the total time ,and time covered in 1st half and time covered in 2nd half.
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= ![D over 24](data:image/png;base64,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)
![t i m e space t a k e n space i n space 1 s t space h a l f equals left parenthesis d i s tan c e space o f space 1 s t space h a l f space j o u r n e y space right parenthesis divided by left parenthesis A v g. s p e e d space o f space 1 s t space j o u r n e y right parenthesis space](data:image/png;base64,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)
= ![fraction numerator D divided by 2 over denominator 20 end fraction equals D over 40](data:image/png;base64,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)
![t i m e space t a k e n space i n space 2 n d space h a l f space equals left parenthesis d i s tan c e space o f space 2 n d space h a l f space j o u r n e y space right parenthesis divided by left parenthesis A v g. s p e e d space o f space 2 n d space j o u r n e y right parenthesis space](data:image/png;base64,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)
= ![fraction numerator D divided by 2 over denominator x end fraction equals fraction numerator D over denominator 2 x end fraction](data:image/png;base64,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)
Step 2:- Equating total time taken in journey.
Total time = time covered in 1st half + time covered in 2nd half
![D over 24 equals D over 40 plus fraction numerator D over denominator 2 x end fraction not stretchy rightwards double arrow 1 over 12 equals 1 over 20 plus 1 over x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPgAAAAjCAYAAAC5KMfnAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAA+FJREFUeNrtXTFoFEEUHUIIIQRBREQsAhJELNKJBAsRwmEhQQIWwUJEsEphYSdiIUIqCUEEkcMiBEGCiEgaOSSFRUBEUljYiGWaFCISwsH5PzuH57GzO3s357w534MHuZvs8ebP+7Mzc7NzxlTHvrDVwZ/Cl8IpgwtqjoNTwnvCz9Schsbprg8dER4XLgm/CxcAg0HN8bAmvGU7KEPN+BqvCNcdZVeFP6wZkUDN8ZFSgqekObjG+8I7BeU6jDwLFgRqZrIwwT2hc8D5gvKGcA4sCNTMZGGCe+KrnQu68E14FCwI1MxkYYJ7YMQODV2YEO6CBYCamSxMcE+cs0NDF64Ln4EFgJqZLExwTywK6wXlO8IZsABQM5OFCe6JVeENR9mKJRqomcnCBPfEK+GljtdjwppwU/gENADUzGRhgntiz/zZNtk02UKPbsaYBQ4ANcc3YDep+f+MK0EQBIdzBL1CsNEqQ7fGHmJT0iv/Yj6R4rwtddw12ZNq5+kVeoVIs9Fannxo0npajV4J2Pi9cpg0D/ramLGu289Yp1eS9gqHXbyDO7kMegenVwg22hDPwekVgo3WI3QVfZJNSa8QbDSCXiEIAhU6D9sw2eF+ByY74fOax3WXgXqoIi26oUMf3Ni2fGribPLoNc6IKDvKF6muVbSgeCUotkz2XHJ7TnZG+MG+54L+7xeQBC/TogcqzHd1Bo1E4oyKsqN8kepaRQuKVwYOPXB/p6Bce7abIAlepEWPHV7NeX8FJLHK4jxMc0ykuuZpQfdKcOwXDHkaIIsIZVp0aFbLef+iLUONs3ZYyznvP7BlKSZ4kacQ4o7mlYF6YNYOY7oxZnu+KYAE99GyZ/8v71qEwwxdcVZ8Eh7reK0nvzxO+A5eVFeEuCN6ZSAeGLcLDHmbILRHWeqjBw8JHy3NgusPIpusKM4KPenlkf17DnQu2ApUV4S4I3oluAcOC187hiozOb1erAT31dIEHS4WxbkT74QXTLbyeyTRBPeta+y4o3olmAdO2spPO8q3c8piJbivll3HsGs84rCrLM6duG3vHqgnq7YC1jV23BG9EswDp012/vZESWOibPz31bJh/j7UsI1apIUTnzi30f7+VodoiwkmeJW6IsQdzSvBPKCTeP19rNEBL7LEMNuCyf/hgOcRkqZKnPVu88YaUr+//ZjYEL0fT8WKO5JXgnrgre3hzBAmuOK9HeaM2iGYPkm1FUGfb5z1d8g2uxpTN1ysJZTg/XgqVtyRvBLUA/0Mu1NIcF1YqduFkl8m2xgzGUlfWZzVVHpW+omc6184hpAGpC6hPBUj7khe6dkDvwEDUm8m6XNBSAAAAXZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1pPkQ8L21pPjxtbj4yNDwvbW4+PC9tZnJhYz48bW8+PTwvbW8+PG1mcmFjPjxtaT5EPC9taT48bW4+NDA8L21uPjwvbWZyYWM+PG1vPis8L21vPjxtZnJhYz48bWk+RDwvbWk+PG1yb3c+PG1uPjI8L21uPjxtaT54PC9taT48L21yb3c+PC9tZnJhYz48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMUQyOzwvbW8+PG1mcmFjPjxtbj4xPC9tbj48bW4+MTI8L21uPjwvbWZyYWM+PG1vPj08L21vPjxtZnJhYz48bW4+MTwvbW4+PG1uPjIwPC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1uPjE8L21uPjxtaT54PC9taT48L21mcmFjPjwvbWF0aD61MTN1AAAAAElFTkSuQmCC)
![not stretchy rightwards double arrow 1 over 12 minus 1 over 20 equals 1 over x not stretchy rightwards double arrow fraction numerator 20 minus 12 over denominator 240 end fraction equals 1 over x](data:image/png;base64,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)
![not stretchy rightwards double arrow I over x equals 8 over 240 not stretchy rightwards double arrow x equals 240 divided by 8](data:image/png;base64,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)
![therefore space x space equals space 30](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE0AAAANCAYAAADsUePcAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAW1JREFUeNpjYBg5wBGItwHxNyD+AcS3gHgCEAtjUcsHxNOA+CQUz4SKjTiwH4iDgJgNScwAiHdgUbsXiP2Q+D5QsVEABZ/Q+KFAPAmLOlCqjCTW0P9QTA5IBuIOLOLNULmBBkpAfANNbA0Qu+HI3mvoEWggcA6IxZH4iUA8hQT9/4nApAJxqDtA5ZoXmtw7tCwMAyCxl/SKTQ8g7oOyXQa4bEAP7AIsav7g0f+Lno7dDcT2QHwBR21FbyAIxAHQmtGehED7QU9HFkBjSY8KqYMa2RMGeKABhwxe4sieHPTMntbQArSPlNqHjuAHlorAA4s6N3wVAb7YC4DKLSehdtoExFzQWD0zSLInDOhBKwNkAGrLzcaidj6+SKdWoIlCW+DCaI3ExQMUQAehbTAWIGaCNiHuA3E8joZwAVQtKKtWQ/XTFIAsWgfE0ljkluNI/rQGtkC8BZodf0ADxgdPRTEXqu4btBvFM9oPoAAAAHmpYNQEdbqsAAAAnHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMjM0OzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1pPng8L21pPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bW8+JiN4QTA7PC9tbz48bW4+MzA8L21uPjwvbWF0aD59eyQQAAAAAElFTkSuQmCC)
∴The average speed covered by bus in the second half of the journey = 30kmph.
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)
Shop A and shop B are at an equal distance from shop C. Distances between shops are shown in the diagram. Classify the triangle formed by them based on the sides.
![](data:image/png;base64,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)
Shop A and shop B are at an equal distance from shop C. Distances between shops are shown in the diagram. Classify the triangle formed by them based on the sides.
In the given figure ABCD is a rectangle. It consists of a circle and two semi circles each of which are of radius 5 cm. Find the area of the shaded region. Give your answer correct to three significant figures.
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)
In the given figure ABCD is a rectangle. It consists of a circle and two semi circles each of which are of radius 5 cm. Find the area of the shaded region. Give your answer correct to three significant figures.
![](data:image/png;base64,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)
Find the missing values
![](data:image/png;base64,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)
Find the missing values
![](data:image/png;base64,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)
The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. Find the capacity of the bucket.
The diameters of the two circular ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35 cm. Find the capacity of the bucket.
The front row of an auditorium has 10 seats. There are 50 rows in total. If each row has 2 more seats than the row before it, which expression gives the total number of seats in the last row?
The front row of an auditorium has 10 seats. There are 50 rows in total. If each row has 2 more seats than the row before it, which expression gives the total number of seats in the last row?
Find the missing values
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)
Find the missing values
![](data:image/png;base64,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)
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)
The table above shows selected values for the function h . In the x y -plane, the graph of y = h(x) h is a line. What is the value of (8) ?
Note:
After finding the equation y = 2x + 3 , we can verify it by putting the third point in the equation and check if it lies on the line, that is, the third point which is lies on
So, the equation is the graph of
.
![](data:image/png;base64,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)
The table above shows selected values for the function h . In the x y -plane, the graph of y = h(x) h is a line. What is the value of (8) ?
Note:
After finding the equation y = 2x + 3 , we can verify it by putting the third point in the equation and check if it lies on the line, that is, the third point which is lies on
So, the equation is the graph of
.
A man reaches a spot from his home in 6 hrs by walking, but he can reach the same spot from his home within 2 hrs by cycle. If the given average cycling speed is 7km/hr faster than his average walking speed, then find the average cycling and walking speeds.
A man reaches a spot from his home in 6 hrs by walking, but he can reach the same spot from his home within 2 hrs by cycle. If the given average cycling speed is 7km/hr faster than his average walking speed, then find the average cycling and walking speeds.
Find the area of the following figure:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN8AAABoCAYAAABxNiXhAAATmUlEQVR4nO3de1SUZQLH8e87w0VAMUfUSJeLlHHLG1liKrGJl7x0Wa+RR6xdLctK3eUEhJQBSlp2dtclV3c1t056WtwtTEEzUQk18Ib3W5KAIIzpcJW5vfuHxznH9VrOzPsOPJ9zOMczM87zeznz433nvTyvJMuyjKBaZrMZNze36x4zGo14eHgolEiwF43SAYSbKy8vZ8aMGfzzn/+87vFly5Yxbdo0GhsbFUom2IvbnV8iOJvZbGbr1q20tLRQXl5ue/zYsWPs3buXpqYmWlpa8PHxAUCWZfLz8ykqKmLUqFEEBARw6tQpDh8+TFBQED169CA3N5dnnnmG3r17K7VYwv8Raz4V0mq1TJ06leHDh9seM5lMfPrpp0yaNIlu3bpd9/rCwkI+/fRTHn/8cRoaGtizZw/vvfce3bt3Z9myZaxduxZ/f38WL16MyWRy9uIItyDKp0KSJKHVajGbzbbHNmzYQFNTEwEBAej1evR6ve25kpISnn76aUaPHk1cXBxWq5XHHnuM5557jvDwcIYOHcpLL70EgMFgcPryCDcnyqdiWq0WSZIAqK6upqqqiqysLEpKSsjNzbW9zsPDg59//hmApqYmrFar7blr+9PMZjNWq/W65wRlie98KvXll1+Sm5tLXV0d//3vf3n11VeZOXMmly9f5r333iMhIcH22tjYWObPn8/Fixfp2bMnXbp0QafTAaDT6WjXrh2SJNG1a9cb9pwKypHEoQZ1qq+vx2Kx2DZB27dvb3vuZocaamtrOXv2LBEREXh5eWGxWHB3d8dkMqHRaNBqtRiNRtzd3W1rU0FZonz3KC8vj0OHDjF9+nT8/PyUjiO4EPGd7x5VV1czf/58Bg0axOrVq6/bSSIItyPKd48SEhL44YcfiIqKYtasWTz//PPs3LlT6ViCC2gzm51Xrlxh06ZNVFdXo9HY92+Ou7s7ZrOZdevW8d133+Ht7c3UqVPp3bs3Wq3WrmMJN5JlGU9PT373u9/h6+urdJy7J7cBLS0t8vTp0+UOHTrIgEN+3NzcZG9vb1mSJIeNIX5u/SNJkvzqq6/Kzc3NSn/c7lqbWPN9+eWXTJw4kY8//pi4uDi7fi/TaDR4eHhw5swZsrKy2L59O5GRkcybN4+oqCjawK8XuHpigCRJvPLKK/j6+vLBBx8gy7JTlt/d3Z1Vq1bxl7/8hUOHDvHggw86fEy7ULT6TlBbWyv37NlTHj58uGyxWOz+/s3NzXJ2drYcHBws63Q6OT09Xa6pqbH7OK7AarXKTz/9tPziiy86fezTp0/Lvr6+ck5OjtPH/rVa9Q4XWZZZtGgRVVVVLFmyxO7f9QA+/vhj3nzzTZ544gmKiopISUmhS5cudh/HVSh1Fk337t35zW9+w+eff+70sX+tVn26Q0lJCdnZ2cybN49HHnnEIWOMGzeO6OhoYmJiHPL+wt3x9PRkyJAhbNy4kUuXLtGpUyelI91Rq13zmUwmkpKSeOCBB5gzZ47DxgkPDxfFUwFJkhg5ciR6vZ6ysjKl49yVVlu+1atXs3XrVrKysmznOQqt24ABA/Dy8mLHjh1KR7krrbJ85eXlvP/++0ycOJFx48YpHUdwkm7duhESEsLatWuVjnJXWl35ZFkmMzMTg8HAu+++K87ib0O0Wi0TJkzgzJkzVFdXKx3njlpd+QoKCli1ahWpqamEhYUpHUdwsieffJLGxkZKSkqUjnJHrap8zc3NpKWlERYWxh/+8Ael4wgKCA4OpnPnzmzevFnpKHfUqrbJVqxYQVFREbm5uXTs2FHpOIICdDod/fr1Y/v27aqfYrHVrPnOnDlDZmYmU6dOZcSIEUrHERQiSRLx8fGUlZVdN/ObGrWK8lksFtLT0wFITk52yJksguvo27cvZrOZr7/+Wukot9UqPqWbN29m9erVJCUl8dBDDykdR1BY9+7d6dWrF9u3b1f1ie0uXz6DwUBqaiqDBg3i5ZdfVjqOoALe3t4MGzaMgwcPUl9fr3ScW3L58mVnZ3PgwAEyMzOvm2RIaLskSWLEiBFUVVVx6NAhpePckkuX79ixY2RkZDBjxgxxfqVwnbCwMDw8PFi3bp3SUW7JZctnNptJTU2lU6dOpKamKh1HUJlu3brx1FNPsX//fiwWi9Jxbsply7dp0yZycnJITU3F399f6TiCyri5uTFy5EiOHj1KRUWF0nFuyiXLd/HiRebOncuTTz7JtGnTlI4jqFRUVBR1dXUUFhYqHeWmXK58siyzdOlSysvLWbJkiarPYBCUFR4ejr+/v2pPNXO58h04cICPPvqIWbNmERUVpXQcQcW8vLwYP348+/fvx2g0Kh3nBi5VPqPRSGJiIv7+/rzzzjtKxxFUTpIkhgwZwokTJ1R5lYNLlS8nJ4etW7eSkZEhrk4X7kpkZCTu7u6qnEXcZcpXU1NDUlISo0ePZvz48UrHEVxESEgI/fv35/vvv1c6yg1conzXpgCsra1l8eLF4up04a5pNBpGjx5NcXGx7QaiauES5du9ezeffPIJf/rTnwgNDVU6juBi+vfvT3V1Nd9++63SUa6j+vKZzWaSk5MJCAjgjTfeUDqO4IL69etHYGCg6na6qH77beXKlRQUFLB+/Xqxk0X4VTp37szQoUPZsWMHZrNZNV9bVL3mO3fuHAsWLGDKlCmMHTtW6TiCi5IkicGDB7N//35OnjypdBwb1ZZPlmUyMjKor68XUwAK92zgwIEYjUYKCgqUjmKj2k/01q1bWbVqFYsWLaJXr15KxxFc3EMPPUR0dDR79+5VOoqNKtd8TU1NpKWlERkZKaYAFOyiXbt2DB48mM2bN6PX65WOA6i0fMuXL+eHH35g4cKFdOjQQek4QisgSRLR0dFUVFRw8OBBpeMAKizfmTNnSE9PZ9q0aWIKQMGuBg8ejJ+fH0VFRUpHAVRWPqvVyoIFC/D09CQ5OVnpOEIrc+2Qg1pmNVNV+fLy8lizZg3Jycn07NlT6Tguq7Ky8qb3qDty5Ag5OTkcP35cgVTK02g0PProo+zatUsVhxxUUz6DwUBKSgpPPPEE06dPVzqOy6qtrSU+Pp6lS5de9/iuXbtIT0/n9OnTzJ07t80WMDY2FrPZrIpZzVRzqOGvf/0rhw8f5rvvvsPHx0fpOC5r7dq1BAYG3nBc9OzZs+h0Ov74xz/eMJ/lqVOnyM7ORpZlxo8fT11dHSUlJdTW1hIREYHRaOTAgQPMnTuXiIgIZy+SXQ0YMIBevXqxbds2xa+OUcWa7/jx42RmZjJz5kyGDBmidByXVVxcTHV19U3ntXn22WcxGAzExMTQo0cP2ywAsiyTnZ1Nnz59SEpKwt/fn23btlFfX8/cuXNZvnw5ERERxMbG8sUXXzh7kexOo9EwcOBA8vPzaWxsVDaLoqNz9cTplJQU/Pz8SElJUTqOyzKbzaxcuRJ3d3cKCws5evQoZ8+etT1fWFiIn58fs2fPpqysjD179gBX712v1+uJiYmha9euBAcHo9VqiY6OJigoiNDQUHr37k1kZKTiH1Z7uHaqWVlZGUeOHFE0i+Ll27RpE+vXryctLU1MAXgPJEkiNjaWzp07c/78eS5dukRDQwO7du3i3LlzbN68mV69ejFp0iQCAgLYt28fcHWKvXbt2rFv3z4MBgM//vgjsizT0tKCxWKhpaUFs9mMyWTCbDYrvJT2ERMTw3333de2y6fX65k3bx4xMTG8+OKLSkZxeVqtlsmTJzN79mxmz57NzJkzeeSRRygpKaGiooKEhASOHDnCW2+9hSRJPPPMM8DVzbDf//73bNiwgfnz51NTU0Pfvn3p0aOH7cC0p6cnnTp1ol+/fgovpX0EBgYSGRlJTk6OskFkBSUnJ8uenp5ySUmJkjHaDLPZLNfU1Nz0uZaWFrm+vv6e3t9qtcojR46UX3jhhXt6H0ezWq3y22+/Lfv6+spVVVWK5VBszVdaWspHH33Ea6+9JqYAdBKtVkuXLl1u+pyHh0ebudGMJEmMGjWKpqYmSktLFcuhSPmMRiPz5s2je/fuJCUlKRFBaOMiIiIIDAxk9+7dimVQpHz//ve/bVMA+vn5KRFBaON0Oh2hoaHk5OTQ3NysSAanl6+mpobk5GRGjRql+EFOoe2SJInhw4dz8uRJfvrpJ0UyOL186enp6PV6lixZglardfbwgmAzZswYPDw8KC4uVmR8p5avqKiIFStWkJiYSFhYmDOHFoQbdO3alZCQEDZu3KjI+E4rn8lkIiUlhaCgIF5//XVnDSsIt+Tj40NUVBTff/+9Ile3O618K1asoKCggKysLDEFoKAaY8eO5eLFi5SXlzt9bKeUr6ysjPT0dF544QVGjx7tjCEF4Y4kSWLQoEH4+vryzTffOH18p5Tv/fffp7m5mfnz54udLIKq3HfffYSHh/PVV185/dxVh5cvPz+fNWvW8O677/Lwww87ejhB+EW0Wi0jRozg7NmznD9/3qljO7R8jY2NpKWl0b9/f1566SVHDiUIv8q1q0GuXLnCiRMnnDq2Q8u3fPly9u7dS3p6upgCUFCt0NBQdDod69atc+q4DivfyZMnSU9PZ/r06cTFxTlqGEG4Z+3bt2fIkCHs2LGDK1euOG1ch5TPbDazYMECfHx8xBSAgkuYMGECFy5c4NSpU04b0yHl27RpE59//jlJSUkEBQU5YghBsBtJkggPD0eSJAoLC502rt3L9/PPP5OSksLQoUNJSEiw99sLgkMEBAQQEBDg1FPN7F6+v/3tbxw/fpyFCxfi7e1t77cXXIBGo/jUQL+Yp6cnY8aM4eDBgzQ0NDhlTLvO23n48GEWLlzIrFmzGDRokD3fWnARkiRRX19PRUXFLadkl2UZrVaLv7+/aooqSRJjxoxh6dKl7N69m2HDhjl8TLuVz2QykZycTLdu3cQUgG2Yp6cnX331Fd9+++0tXyPLMjqdjjVr1hAbG+vEdLcXGBhIhw4d2LBhg2uVLzc3l9zcXFavXn3LeUKE1s9isfDggw/e9hxeo9HIZ599xsaNG1VVPn9/f6KjoykuLsZoNOLh4eHQ8exSvmtTAMbFxREfH2+PtxRclMlkIjo6+oZ7Rfz/a7Zt24bJZHJisju7NrFSSkoKer2eBx54wKHj2WWD+4MPPqC6uprFixeLe6cLdzxBubGxEavViiRJTkp0dyRJYuDAgdTV1Tllr+c9l6+4uJg///nPvPXWW/Tp08cemQRBMUFBQQQHB7NlyxaHj3VP5WtpaSExMZHAwEASExPtlUkQFNOxY0eee+45Dh8+fN2dnBzhnsr32WefsX37djIzM+nUqZO9MjndrXaJC23T448/zunTpx1+D8NfXb7z58+TlpbG888/z7PPPmvPTE734YcfMmDAANavXy+K2MZJkkS/fv3QarXk5eU5dKxfXb709HTq6urIyMhw+avThw0bhq+vL1OmTGH8+PGKTiEuKC8wMJDo6GiKioocOs6vKl9BQQH/+te/WLhwYau4Or1v377k5eXx97//neLiYoYNG0ZiYiI1NTVKR3M5Wq32jnu8vb290Wg0qt0zLkkSkydPprS0lMrKSoeN84uX3mQykZqaitFopL6+nuzsbEfkcrrS0lIuXLhAly5d2LdvH4sXL+brr78mPj5eTGl/lyRJ4scff6Sqquq2n4umpib0ej0lJSV88sknqtvUlySJQ4cOUVVVxc6dO5k8ebJjxpF/4ZI3NDTw6KOPcvnyZcxmMxaLxSHBnE2j0eDu7s7ly5dpaWkBoEOHDmg0GtUdj1IrSZJsa7PbHUCXJAl3d3esVisWi0WV5dNoNGi1WrKyshx2dc4vLp/VauXcuXOtpnRw9e6sDQ0NrF271rbn9pVXXmHq1Km4u7ur7sOhZtf+UN3pd3a3r1OSLMt07doVX19fh7z/Ly5fa1RaWsqcOXPYtWsX48aN45133iEyMlLpWEIrp85vvE6Wn59PfX09X3zxhe12yUozGAxYLJYbZve2WCxiU7iVEGs+rp6pY7Va8fLyUjoKAIWFhfzjH/+gsrKSl19+mUmTJgFX19Bvv/02ixYtonfv3gqnFO6VWPNx9Ro0NQkJCeHDDz9k9+7dZGdnM2HCBMxmMytXrqS6uvqGm3qcOnWK/Px8evToQVxcHEePHuXcuXMYjUYee+wxtm3bRnBwML/97W/FGlNF1HEZsXAdf39/dDodRqMRPz8/NBoN//nPf3j44YcZOnTodTspamtrSU5OxsPDg8bGRmpqanj99deprKxky5YtzJkzBzc3N7Kysjh27JiCSyX8P1E+laqoqGDdunXMnDmTiooKvvnmG5566inq6uowGAxYrVYATpw4gZeXFzNmzCA+Ph6tVktQUBBvvPEGI0aMoG/fviQkJBASEuL06dCF2xPlU6Ha2loyMjKYOHEiAwcO5MKFC0iSxJo1a9i7dy9btmyx3Ufczc0No9Fo+7+yLKPRaDAajbZ/A2JzU4XEdz4VWrZsGXl5eXh6erJnzx7efPNNVqxYgcViQa/XM3bsWHx8fAAICwujXbt2vPbaa9x///1MmTLFtjdUFE7dxN5OFfrpp5+orq7GbDaj1Wrp06ePbU9sZWUlHTt2pH379rbXX7p0iZ07dxIcHExoaCjnz58nICAAg8HAlStXuP/++6moqKBjx47inhkqIsonCAoR3/kEQSGifIKgEFE+QVCIKJ8gKESUTxAU8j/Uj7J9rbQNwgAAAABJRU5ErkJggg==)
Find the area of the following figure:
![](data:image/png;base64,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)
Given a rectangular room whose width is 4/7 of its length y and perimeter z. Write down an equation connecting y and z. Calculate the length of the rectangular room when the given perimeter is 4400 cm.
Given a rectangular room whose width is 4/7 of its length y and perimeter z. Write down an equation connecting y and z. Calculate the length of the rectangular room when the given perimeter is 4400 cm.
A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm respectively. What is the volume of the clay required for the tile?
A drainage tile is a cylindrical shell 21 cm long. The inside and outside diameters are 4.5 cm and 5.1 cm respectively. What is the volume of the clay required for the tile?
Find the area of the given figure.
![](data:image/png;base64,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)
Find the area of the given figure.
![](data:image/png;base64,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)
Four years back in time, a father was 3 times as old as his son then was. 8 years later father will be 2 times as old as his son will then be. Find the ages of son and father.
Four years back in time, a father was 3 times as old as his son then was. 8 years later father will be 2 times as old as his son will then be. Find the ages of son and father.
A number which is formed by two digits is 3 times the sum of the digits. While interchanging the digits it is 45 more than the actual number. Find the number.
A number which is formed by two digits is 3 times the sum of the digits. While interchanging the digits it is 45 more than the actual number. Find the number.
The gas mileage M (s), in miles per gallon, of a car traveling s miles per hour is modeled by the function below, where
.
![M left parenthesis s right parenthesis equals negative 1 over 24 s squared plus 4 s minus 50](data:image/png;base64,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)
According to the model, at what speed, in miles per hour, does the car obtain its greatest gas mileage?
Note:
We could have also used the first derivative test to find the local
maxima. We need to find critical points and then check whether the
function is increasing or decreasing on either side of the critical
point. If the function is increasing , i. e ., on the left side
and the function is decreasing, i. e ., on the right hand side, then we say that is a local maxima.
The gas mileage M (s), in miles per gallon, of a car traveling s miles per hour is modeled by the function below, where
.
![M left parenthesis s right parenthesis equals negative 1 over 24 s squared plus 4 s minus 50](data:image/png;base64,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)
According to the model, at what speed, in miles per hour, does the car obtain its greatest gas mileage?
Note:
We could have also used the first derivative test to find the local
maxima. We need to find critical points and then check whether the
function is increasing or decreasing on either side of the critical
point. If the function is increasing , i. e ., on the left side
and the function is decreasing, i. e ., on the right hand side, then we say that is a local maxima.