magaliTad, Tu sawyisi fasia : a: lari da moxda
magaliTad, Tu sawyisi fasia : a: lari da moxda magaliTad, Tu sawyisi fasia : a: lari da moxda
g) ramdeni procentiT meti marwyvi gayida gamyidvelma IV dRes II dResTan SedarebiT? d) gaagrZelos Tu Sewyvitos gamyidvelma marwyvis gayidva? ratom? e) saSualod ramden kg marwyvs yidulobda erTi myidveli? II varianti 2) gamoTvale: a) 20-is 15%; b) 120-is 2 3 nawili. 3) ipove ricxvi, romlis: a) 0,8 nawili tolia 8-is; b) 20% tolia 18-is. 3) nikas soflidan qalaqSi Casasvlelad 2 sT da 20 wT dasWirda, ukan dasabruneblad ki – am drois 80% . ramdeni wuTiT naklebi dro moandoma nikam sofelSi dabrunebas qalaqSi CasvlasTan SedarebiT? 4) mandarinis gamyidvelma gadawyvita, gaekeTebina yoveldRiuri Canaweri myidvelebisa da maT mier nayidi mandarinis raodenobis Sesaxeb (kilogramebSi). xuTi dRis Semdeg mis mier Segrovili informacia aseTi saxis iyo: I dR.: 12 myidv. gaiyida 30kg mandarini II dR.: 9 myidv. – 21kg mandarini III dR.: 8 myidv. – 13kg mandarini IVdR.: 6 myidv. – 10kg mandarini V dR.: 3 myidv. – 6kg mandarini monacemebis mixedviT Seadgine cxrili da upasuxe SekiTxvebs: a) sul ramdeni kg mandarini gaiyida? b) izrdeboda Tu mcirdeboda moTxovnileba? g) ramdeni procentiT naklebi mandarini gayida gamyidvelma meoTxe dRes meore dResTan SedarebiT? d) gaagrZelos Tu Sewyvitos gamyidvelma mandarinis gayidva? ratom? e) saSualod ramden kg mandarins yidulobda erTi myidveli? Sefasebis sqema – sul 10qula 1) amoxsna a) 0,5qula, amoxsna b) 0,5qula . sul -----1 qula. 2) amoxsna a) 1qula, amoxsna b) 1qula. sul ---- 2 qula. 3) gadaiyvana saaTebi wuTebSi – 0,5 qula, gamoTvala procenti – 1 qula, gamoTvala sxvaoba – 0,5 qula. sul-----2 qula. 4) upasuxa SekiTxvebs: sul -----5 qula. a) gamoTvala, ramdeni kg marwyvi gayida gamyidvelma sul – 1 qula. b) gaigo, izrdeboda moTxovnileba marwyvze Tu mcirdeboda – 1 qula. 49
g) gamoTvala, ramdeni procentiT meti marwyvi gayida gamyidvelma IV dRes II dResTan SedarebiT – 1 qula. d) upasuxa SekiTxvebs – 1 qula. e) gamoTvala saSualo – 1 qula. 3.5 monacemTa ricxviTi maxasiaTeblebi mizani: moswavleebs SevaxsenoT monacemTa adre naswavli ricxviTi maxasiaTeblebi (udidesi da umciresi monacemebi, diapazoni, sixSire, saSualo) da vaswavloT monacemTa moda. vaswavloT monacemTa sxvadasxva saxis diagramebiT (maT Soris wertilovani da xazovani diagramebiT) saxiT warmodgena. codna da unari: moswavlem unda icodes: 4) monacemTa ricxviTi maxasiaTeblebis (udidesi da umciresi monacemebi, diapazoni, sixSire, saSualo) gamoTvla; 5) mocemul monacemebSi modis povna; 6) sxvadasxa saxiT warmodgenili monacemebis wakiTxva da analizi; 7) mocemuli monacemebis sxvadasxva saxis diagramiT warmodgena. komentarebi savarjiSoebis Sesaxeb da pasuxebi #4. pasuxi: x= 3; #5. pasuxi: a= 3,6; #8. pasuxi: g); #11. pasuxi: 7,5kg; #12. daiwereba ori wrfivi gantoleba; #16. a) 5 b) 2,5 #17baRSi msxlis xeebis raodenoba xeebis saerTo raodenobis 1 6 nawilia. e. i. 1 2 12. 6 x = → x = baRSi 12 xea, maTgan atmisaa14, xolo msxlis _ 6. Tavis mimoxilva. #7. Camofasda 30%-iT. #13. razmSi 49 jariskacia. #15. 4 saaTSi jariskaci gaivlis gzis 6/5 nawils, amitom igi B-dan A-sken gamobrundeba da gaivlis gzis 1/5 nawils, anu 4 km-s. pasuxi: 16km. 16. pasuxi: 150m. #17. vTqvaT, saWiroa x g xorbali. vwerT gantolebas: x⋅0,8 ⋅ 1, 2 = 480 ⇒ x = 500 (g) #18. svetovani diagramidan vgebulobT A raionis mosaxleobis raodenobas, xolo wriuli diagramidan(10000), am raodenobis Sesabamis procents (20%). maSasaame, mosaxleobis saerTo raodenobaa 50000. C raionSi _ 22 500, xolo A raionSi _ 17500. 50
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g) gamoTvala, ramdeni procentiT meti marwyvi gayi<strong>da</strong> gamyidvelma IV dRes II<br />
dResTan Se<strong>da</strong>rebiT – 1 qula.<br />
d) upasuxa SekiTxvebs – 1 qula.<br />
e) gamoTvala saSualo – 1 qula.<br />
3.5 monacemTa ricxviTi maxasiaTeblebi<br />
mizani: moswavleebs SevaxsenoT monacemTa adre naswavli ricxviTi<br />
maxasiaTeblebi (udidesi <strong>da</strong> umciresi monacemebi, diapazoni, sixSire, saSualo) <strong>da</strong><br />
vaswavloT monacemTa mo<strong>da</strong>. vaswavloT monacemTa sxva<strong>da</strong>sxva saxis diagramebiT<br />
(maT Soris wertilovani <strong>da</strong> xazovani diagramebiT) saxiT warmodgena.<br />
codna <strong>da</strong> unari: moswavlem un<strong>da</strong> icodes:<br />
4) monacemTa ricxviTi maxasiaTeblebis (udidesi <strong>da</strong> umciresi monacemebi,<br />
diapazoni, sixSire, saSualo) gamoTvla;<br />
5) mocemul monacemebSi modis povna;<br />
6) sxva<strong>da</strong>sxa saxiT warmodgenili monacemebis wakiTxva <strong>da</strong> analizi;<br />
7) mocemuli monacemebis sxva<strong>da</strong>sxva saxis diagramiT warmodgena.<br />
komentarebi savarjiSoebis Sesaxeb <strong>da</strong> pasuxebi #4. pasuxi: x= 3; #5. pasuxi: a= 3,6;<br />
#8. pasuxi: g); #11. pasuxi: 7,5kg; #12. <strong>da</strong>iwereba ori wrfivi gantoleba;<br />
#16. a) 5 b) 2,5 #17baRSi msxlis xeebis raodenoba xeebis saerTo raodenobis 1 6<br />
nawilia. e. i. 1 2 12.<br />
6 x = → x = baRSi 12 xea, maTgan atmisaa14, xolo msxlis _ 6.<br />
Tavis mimoxilva.<br />
#7. Camofas<strong>da</strong> 30%-iT.<br />
#13. razmSi 49 jariskacia.<br />
#15. 4 saaTSi jariskaci gaivlis gzis 6/5 nawils, amitom igi B-<strong>da</strong>n A-sken<br />
gamobrundeba <strong>da</strong> gaivlis gzis 1/5 nawils, anu 4 km-s. pasuxi: 16km.<br />
16. pasuxi: 150m. #17. vTqvaT, saWiroa x g xorbali. vwerT gantolebas:<br />
x⋅0,8 ⋅ 1, 2 = 480 ⇒ x = 500 (g) #18. svetovani diagrami<strong>da</strong>n vgebulobT A raionis<br />
mosaxleobis raodenobas, xolo wriuli diagrami<strong>da</strong>n(10000), am raodenobis<br />
Sesabamis procents (20%). maSasaame, mosaxleobis saerTo raodenobaa 50000. C<br />
raionSi _ 22 500, xolo A raionSi _ 17500.<br />
50
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