For the first four, I just want to see if they arecorrect: 1. In a certain game,
ID: 3093852 • Letter: F
Question
For the first four, I just want to see if they arecorrect: 1. In a certain game, points are assigned to every word. Each q, x, and z in a work is worth 5 points, and all other lettersare worth 1 point each. What is the sum of the pointsassigned to the word"exquisite"? myanswer=17 2. If 2x-10=20, then x-5=? myanswer=10 3. If there is no waste, how many square yards ofcarpeting is needed to cover a rectangular floor that is 12 feet by18feet? my answer=216 ft2 For the next 2 questions, I am so very confused so I willgreatly appreciate if you could provide all of the work withexplanations, it would be greatly appreciated. 4. The Jersey City Metal Company's old machine makes 300bolts per hour. Its new machine makes 450 bolts perhour. If both machines begin running at the same time, howmany minutes will it take the two machines to makea total of 900 bolts? 5. How many positive 3 digit integers have the hundredsdigit equal to 3 and units digit (ones digit) equal to 4? 6. The scenic route from Ann's home to her office is 5kilometers longer than the direct route. When she goes by thescenic route and returns by the direct route, the round trip is 35kilometers. How many kilometers is the direct route? For the next 3 problems, I would like to know if my answersare correct: 7. How many different arrangements can be made with ttheletters "WATER" example "ATERW"? my answer=120ways 8. The measure of one angle of a triangle is 115. The other two angles are congruent. Find theirmeasure. my answer= 32 1/2 o 9. Find the next three terms in the followingsequence 1, 4, 9, 16, ____, ____, ____ my answer= 1,4, 9, 16, 25, 36, 49 I am not sure of how to do the following problem: 10. On graph paper, graph the following linearequations: y= -2x + 3 y=1/2x + 3 What do both lines have in common? What type of angles do the lines create? Please help asap and provide explanations thankyou. For the first four, I just want to see if they arecorrect: 1. In a certain game, points are assigned to every word. Each q, x, and z in a work is worth 5 points, and all other lettersare worth 1 point each. What is the sum of the pointsassigned to the word"exquisite"? myanswer=17 2. If 2x-10=20, then x-5=? myanswer=10 3. If there is no waste, how many square yards ofcarpeting is needed to cover a rectangular floor that is 12 feet by18feet? my answer=216 ft2 For the next 2 questions, I am so very confused so I willgreatly appreciate if you could provide all of the work withexplanations, it would be greatly appreciated. 4. The Jersey City Metal Company's old machine makes 300bolts per hour. Its new machine makes 450 bolts perhour. If both machines begin running at the same time, howmany minutes will it take the two machines to makea total of 900 bolts? 5. How many positive 3 digit integers have the hundredsdigit equal to 3 and units digit (ones digit) equal to 4? 6. The scenic route from Ann's home to her office is 5kilometers longer than the direct route. When she goes by thescenic route and returns by the direct route, the round trip is 35kilometers. How many kilometers is the direct route? For the next 3 problems, I would like to know if my answersare correct: 7. How many different arrangements can be made with ttheletters "WATER" example "ATERW"? my answer=120ways 8. The measure of one angle of a triangle is 115. The other two angles are congruent. Find theirmeasure. my answer= 32 1/2 o 9. Find the next three terms in the followingsequence 1, 4, 9, 16, ____, ____, ____ my answer= 1,4, 9, 16, 25, 36, 49 I am not sure of how to do the following problem: 10. On graph paper, graph the following linearequations: y= -2x + 3 y=1/2x + 3 What do both lines have in common? What type of angles do the lines create? Please help asap and provide explanations thankyou. I am not sure of how to do the following problem: 10. On graph paper, graph the following linearequations: y= -2x + 3 y=1/2x + 3 What do both lines have in common? What type of angles do the lines create? Please help asap and provide explanations thankyou.Explanation / Answer
4) let t be the time to get to 900, in hours. Theproduction rate can be written as:
300t + 450t = 900 : 750t = 900 ; t = 1.2hours. The question was how many minutes, so the answer is 60 * 1.2 =72 minutes
5)how many numbers have the form 3x4. x can have 10values, 0 to 9, so 10 is the answer
6) Let x be direct distance. Then, x + 5 is scenicroute. Since she did both, x + x +5 = 35: 2x = 30,x=15
7) The answer is 5 * 4 * 3 * 2 = 120 - what you got
8) congruent here means equal. So, 180 - 115 = 65, whichis the sum of these two angles. Each is 65/2 = 32.5 (youranswer)
9) you're right, the sequence is squares of integers
10) You'll have to do this one. The easy way is to usegraph paper, so x and y grids are pre-printed. Either linecan be define by two points, so chose any value for x and solve fory. Do this again and you have the first line. Same forthe second equation.
Examples:
Eq 1: x = 0, y = 3 (0,3) : x =2, y = -1 (2,-1) Eq 2: x = 0, y = 3 (0,3) : x = 2, y = 4 (2,4)
The common thing is the y intercept, at 3
The angles where the lines cross can be determined from theslope. These equations are already in "proper" form of y = mx+ b. m is the slope.
m1 is -2 while m2 is 1/2. The angle any line makes with the yaxis is ArcTan (m). So the first angle is -63.4. Thesecond angle is 26.6. The difference of these is the anglebetween them, or 26.6 - (-63.4) or 90 degrees.