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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Use synthetic division to find the quotient and remainder when is divided by . Specifically, complete the synthetic division table below, and write your answer in the following form: . |
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Answer» Answer: The calculator will divide the POLYNOMIAL by the binomial USING synthetic division, with STEPS shown. ... (under the horizontal line). ADD the obtained result to the next coefficient of the dividend, and write down the sum. |
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| 2. |
Estimate the difference by rounding off each number to the nearest hundred. 989−308 |
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Answer» Answer: 700 Step-by-step EXPLANATION: 989=1000 308=300 1000-300=700 |
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| 3. |
If the value of the polynomial xcube+3x+a for x value2 is 9 they find the value of a |
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Answer» Answer: the valu of a is -5 Step-by-step explanation: if 2 is the value of x then 8+6+a=9 a=9-14 a=-5 hope it is helpful to you please like and FOLLOW for more answers |
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| 4. |
12. Find the value of x + yb, if ay = 19683, where y is amultiple of a and bl = 1024, where b is a factor ofx.a, b, x and y being positive integers- |
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Answer» gdhdjxjxnxnxxnxnxnxnxnnxx |
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| 5. |
The three angles of quadrilateral are 65degree, 55degree and 135degree. find its fourth angle |
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Answer» Answer: 105 Step-by-step EXPLANATION: |
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| 6. |
Take a point which is 11cm away from the centre of a circle of radius 4cm and draw two tangents to the circle from that point. |
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Answer» SESDAFRGED RGGV Step-by-step EXPLANATION: |
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| 7. |
712にほ月A group of students under their college'sinitiative "We Care" approached LionsClub. By understanding their philanthropicinitiative, the club agreed to construct achild care center on one of their righttriangular shaped plot having one side13.5 m and sum of other side andhypotenuse would be 15.5 m.(i) Construct the triangle takingmeasurements of sides in proportionsimilar to that of plot.(ii) What ideas are promoted by the groupof students?VIEادا - |
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Answer» kahhqhqjqjqkqjq1bbqjjqqkkqnqqbqjqjkqkjw |
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| 8. |
Plzz give answer fastcosecA-cotA-1/1-cosecA+cotA = 1-cosA/sinA |
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Answer» |
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| 9. |
If anyone can solve?? |
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Answer» Step-by-step EXPLANATION: x + x+1 = 34 x+1 x 15 x^2 + x+1 = 34 x(x+1) 15 x^2+x +1 = 34 x^2 +x 15 15(x^2+x+1) = 34(x^2 +x) 15x^2 +15x +15 = 34x^2 +34x 0= 34x^2 -15x^2 +34x-15x -15 0= 19x^2 +19x -15 |
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| 10. |
a mehanic buys a bicycle for rs 1125 and spend rs 75 for its repairs. if he sells it for rs 1500find his profit or loss percent on selling price |
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Answer» Answer: mechanic buys cycle rupees = Rs.1125 spends rupees for repairs. = Rs. 75 So, TOTAL C.P.of the mechanic = Rs.1125 +Rs.75 = Rs.1200 He sells the bicycle for. rupees (S.P.) = Rs. 1500 PROFIT = SP - CP = 1500 - 1200 = Rs.300 So profit PERCENT on selling price is = Profit × 100. = 300 × 100 C.P. 1200 =. 100. = 25% 4 So, the profit percent on selling price of the bicycle is 25%. hope it HELPS ☺️ |
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| 11. |
E9 Construct a right-angled AABC in which _A = 90°, hypotenseBC = 6 cm and AB = 4 cm. Justify your construction. |
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Answer» Step-by-step explanation: *take a LINE segment AB with length 4cm *take the COMPASS with measure 1 or 2cm and place it on A and draw a semi circle *with same measurement of compass keep it on point D and draw an arc and name it E *now again place the compass with same measurement on E and draw an arc *next with same measurement draw an arc PLACING the compass on point E in the above and do the same with KEEPING the compass on point F *now join the arc that we got now (draw a long line) *now take the measure of compass as 6cm and draw an arc on the line that we drew now *join the line ur triangle is completed(u can erase the name of point D, E, F.. I just took it to make you understand) |
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| 12. |
5.2.In a class of 30 students, liked Kitkat,liked Dairy Milk, two students liked Perk63and remaining students did not like any chocolate. Find how many did not like anychocolate |
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Answer» Answer: |
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| 13. |
The diagonals AC and BD of aparallelogram ABCD intersect each other atthe point o. If CAD = 32° and AOB = 70°,find DBC. |
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Answer» Quadrilateral ABCD is a parallelogram. So, AD ∣∣ BC ∴ ∠DAC = ∠ACB --- ( ALTERNATE angle) ∴ ∠ACB = 32 ∘
∠AOB + ∠BOC = 180 ∘ --- (straight angle) ⇒70 ∘ + ∠BOC = 180 ∘
∴ ∠BOC = 110 ∘
In △BOC, ∠OBC + ∠BOC + ∠OCB = 180 ∘
⇒∠OBC + 110 ∘ + 32 ∘ = 180 ∘
⇒ ∠OBC = 38 ∘
∴ ∠DBC = 38 ∘ |
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| 14. |
the perimeter of a triangle measures 49 cm . one side is 7 cm longer than the other and 5 cm shorter than the third. find the length of each side of the triangle |
Answer» Answer :• Sides of ∆ are 10 cm , 17 cm and 22 cm___________________________Given :• Perimeter of ∆ = 49 cm • One side is longer by 7 cm • Other side is shorter by 5 cm To Find :• Each side of triangle Solution :• Let the side of ∆ be x • According to the question :→ x + x - 7 + x + 5 = 49 → 3x = 49 + 2 → 3x = 51 → x = 51/3 → x = 17• First side of ∆ = 17 cm • Second side of ∆ = x - 7 = 17 - 7 = 10 cm • Third side of ∆ = x + 5 = 17 + 5 = 22 cm _____________________ |
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| 15. |
With of the following relation is a one-to-one function?a). {(0,0),(1.1),(2,8),(3,27),(4,64)}b). {(-2,4),(-1,1),(0,0),(1,1),(2,4)}c). {(0,4),(1,5),(2,6),(4,7),..(n,n+4),.d). height to studente). person to telephone numberf). height to ageg). birthday of a family member |
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Answer» a){(0,0), (1,1), (2,8),(3,27),(4,64)} Step-by-step explanation: because,every ELEMENTS of domain have DISTINCT ELEMENT in RANGE. |
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| 16. |
I want all question solution |
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Answer» Answer: HI Friends I want to Give Few POINTS TILL 50 Points First I will give 5 after 10 after 25 and again 10 GET ready///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// Step-by-step EXPLANATION: |
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| 17. |
The length and breadth of a rectangle are (x+26) and 'x' respectively. If its perimeter is 400m.Find the value of 'x' |
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Answer»
GIVEN :PERIMETER - 400 m LENGTH - (x + 26) Breadth - x To Find :x = ? Formula :Perimeter = 2 ( length + breadth ) Solution :Perimeter = 2 ( l + B ) Therefore , The Value of x = 87 |
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| 18. |
Find the smallest number which when divide by 12 and 15 leaves a reminder 5 |
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Answer» Answer: 25 is answer hope it HELPS you dear❤️❤️❤️ |
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| 19. |
Find the coordimetes of a |
Answer» Step-by-step EXPLANATION:FIND the coardinetes of whatplease friend WRITE the QUESTION correctly please |
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| 21. |
Howratios in simplest form (f) 2/1/3 and 3/1/2 |
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Answer» Answer: 2/1/3 = 7/3 and 3/1/2 = 7/2 in SIMPLEST FORM = 7 : 3 and 7: 2 |
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| 22. |
Complete the square of the following termax² - bx |
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Answer» Answer: not a VALID Question... Step-by-step EXPLANATION: x² have a '²" but bx doesn't have a ² Elaborate your Question... |
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| 23. |
Convert 1.24 in the form of p/q |
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Answer» Answer: 31/25 Step-by-step explanation: 124/100= 62/50 =31/25 Hope it will HELP u Plz FOLLOW me..... |
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| 24. |
व्हाट इज द नंबर ऑफ दिस ऑफ सिलेक्टिंग 4 कार्ड्स फ्रॉम ए पैक आफ 52 कार्ड्स विच इंक्लूड एक्जेक्टली वन रेड क्वीन |
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Answer» TEXT Solution Solution : (i) 4.13C4 (ii) .13C1.13C1.13C1.13C1 =134 (III) .12C4 (IV) .26C2.26C2 (v) .26C4⋅2 answer |
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| 25. |
Rationalise root 5 /root 2+root 3 |
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Answer» √5/√2+√3= √5/√2+√3×√5/√2-√3=√5×√5/(√2+√3) (√2-√3) =5/(√2) ^2-(√3) ^2=5/2-3=5/-1=-5 |
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| 27. |
न्यूनतमीकरण करें Z = x + 2y |
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Answer» I THINK so that 2 is equal to z because they have not given EXACT value |
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| 28. |
The number of m1 values of n=4 is |
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Answer» Answer: For NTH orbital POSSIBLE VALUES of azimuthal quantum number, l are from 0 to (N−1). TOTAL of n values. In 4f orbital, n=4 and f-orbital has l=3 Magnetic quantum number ml have values from −l to +l and total of 2l+1 values. For l=3 total; values of ml are 7 and are: For l=3,ml=−3−2,−1,0,1,2,3 |
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| 29. |
What is the answer if sum of 17 and 15 is divided by the difference between 124 and 116 |
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Answer» 32/8=4....the answer is 4 |
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| 30. |
Coefficient of m is 3/4. What is that term |
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Answer» Step-by-step EXPLANATION: mmwmmmwmmmmmmmmmmyyryyyr737737 |
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| 31. |
In each pair of the following rational numbers, determine which rational numbers is smaller: 3/17,5/27 |
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Answer» Answer: 3/17 is SMALLER jgshofsgk |
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| 32. |
If 5xa=ca then the values of a and c are what is the answer |
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Answer» HI right answer is here Step-by-step EXPLANATION: then 5×5 =25 please please follow me |
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| 33. |
Vanity is x year old at present. Find her age after 15 year. Also find her age 5 years ago |
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Answer» her age 5 YEARS ago is x-5 |
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| 34. |
A shopkeeper instead of raising the marked price by 25% discounted the cost price by 25% while sticking the price tag on its product |
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Answer» iieiejjejejejejejejejej3k3k3k3k |
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| 35. |
In an equation y- 5 =15 the value of variable is |
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Answer» y - 5 = 15 y = 15 + 5 y = 20 and y is the variable |
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| 37. |
You want to enlarge a photo that measures 3 inches by 5 inches. The enlargement dilation being used is 5:1 and you want the enlarged photo to fit in a frame, which has the dimensions 15 inches by 25 inches. Explain how to find the size of the enlarged photo, its dimensions and decide if it will fit in the frame. |
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Answer» gavahhaajahagahahahahahahagafacagahaianw by ajajaiaa |
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| 38. |
In a proprortion the product of ______ is equal to the product of _______ |
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Answer» In a proportion the PRODUCT of means is EQUAL to the product of extreme. hope this will HELP you |
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| 39. |
Mickey decides to purchase some school supplies. He buys 3 binders for $3.26 each and a pack of pens for $4.99. If he was charged $1.18 in tax and received $4.05 in change, how much money did he give the cashier? |
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Answer» Answer: $20 Step-by-step explanation: 3 binders=$3.26x3 =$9.78 A pack of PENS=$4.99 Amount of TAX =$1.18 Amount of change =$4.05 He gave the cashier ${(9.78+4.99+1.18)+4.05} =$20 |
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| 40. |
An ornithologist wants to look at the relationship between the breadth of peregrine falcon eggs and the mass |
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Answer» Step-by-step EXPLANATION: मींस व्हाट डू यू वांट टू एक्स |
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| 41. |
Find the value of m so that the point (3,2) lies on the curve x^2+y^2-my-21=0 |
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Answer» Step-by-step explanation: The equation of the given circle, x² + y² = 5, is in standard form and tells us that the center of the circle is at the origin, i.e., at the point (0, 0), and has a radius of r = √5, and the equation of the given line is y = 2x ‒ k is the slope-intercept form for the equation of a straight line, i.e., y = mx + b, where slope m = 2 and y-intercept b = ‒k. As the first step in finding the desired, exact values of “k” for which the given line y = 2x ‒ k is tangent to the given circle, we’ll consider the equation of the given circle and solve for y in terms of x as follows: x² + y² = 5 y² + x² = 5 y² + x² ‒ x² = 5 ‒ x² y² = 5 ‒ x² Now, taking the square root of both sides, we have: y = ±√(5 ‒ x²) Consequently, we have: y = √(5 ‒ x²) , a semicircle, is the HALF of the given circle above the x-axis, and … y = ‒√(5 ‒ x²), a semicircle, is the other half of the given circle below the x-axis. At the point of tangency or intersection, (x, y), between the given circle and the given line, the circle and the line have a point in common; therefore, at that point, their x-values or coordinates and their y-values or coordinates will be the same, i.e., equal; consequently, we can set the two y-values equal to each other and solve for “k” as follows: (1.) For the case of semicircle y = √(5 ‒ x²): y = y (Equality is reflexive, i.e., for any real number a, a = a) √(5‒ x²) = 2x ‒ k √(5‒ x²) + k = 2x ‒ k + k √(5‒ x²) + k = 2x + 0 √(5‒ x²) + [‒√(5 ‒ x²)] + k = 2x + [‒√(5 ‒ x²)] 0 + k = 2x + [‒√(5 ‒ x²)] k = 2x + [‒√(5 ‒ x²)] k = 2x ‒√(5 ‒ x²) is the generic VALUE of k for which the given line y = 2x ‒ k is tangent to the given circle x² + y² = 5 above the x-axis. (2.) For the case of the other semicircle: y = ‒√(5 ‒ x²): y = y (Equality is reflexive, i.e., for any real number a, a = a) ‒√(5 ‒ x²) = 2x ‒ k ‒√(5 ‒ x²) + k = 2x ‒ k + k ‒√(5 ‒ x²) + k = 2x + 0 ‒√(5 ‒ x²) + √(5 ‒ x²) + k = 2x + √(5 ‒ x²) 0 + k = 2x + √(5 ‒ x²) k = 2x + √(5 ‒ x²) is the generic value of k for which the given line y = 2x ‒ k is tangent to the given circle x² + y² = 5 below the x-axis. We now have the two generic values of k: k = 2x ‒√(5 ‒ x²) and k = 2x + √(5 ‒ x²). These two generic values of k correctly imply two tangent lines and, consequently, two points of tangency with the given circle x² + y² = 5, i.e., we actually have two tangent lines, not just one; however, in order to determine the exact values of “k”, we have to know the x-coordinates of the two points of tangency since the two generic values of “k” are in terms of the x-coordinates of the points of tangency. We know that the slope of each of the two tangent lines is m = 2 since both are represented by the given equation: y = 2x ‒ k. We also know that the slope of a tangent line to a curve is equal to the slope of the curve at the point of tangency (x, y), and the slope of the curve at the point of tangency is equal to the value of its function’s first derivative at that point, i.e., the slope m of the curve at the point of tangency (x, y) = dy/dx. (NOTE: Even though the given circle x² + y² = 5 does not represent a function, implicitly it represents two functions, that is, each of its two semicircles: y = √(5 ‒ x²) and y = ‒√(5 ‒ x²) explicitly do represent functions!) So, to find the x-coordinates of the two points of tangency, (x, y), we need to first USE IMPLICIT differentiation to differentiate the implicit equation of the given circle, x² + y² = 5, with respect to x in order to give us a formula for dy/dx which is equal to the slope of the circle at any point on the circle (except on the x-axis), in particular, at the two points of tangency: |
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| 42. |
What number is 25 divided by 5\10? |
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Answer» Answer: Here is 25 divided by 5/10 displayed mathematically in colors: 25 ÷ 5 10 The NUMBERS in 25 divided by 5/10 are labeled below: 25 = whole number 5 = numerator 10 = denominator To make it a FRACTION form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator: 25 x 10 5 = 250 5 Thus, the answer to 25 divided by 5/10 in fraction form is: 250 5 To make the answer to 25 divided by 5/10 in DECIMAL form, you simply divide the numerator by the denominator from the fraction answer above: 250 / 5 = 50 The answer is rounded to the NEAREST two decimal points if necessary. 250/5 can be simplified to 50/1. 50/1 is an improper fraction and should be written as 50. Step-by-step explanation: mark has brainlest answer |
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| 43. |
In a class there are 75 boys and 30 girls.Find the ratio of number of boys to number of girls |
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Answer» Answer: 5:3 Step-by-step explanation: 75/30=15/6=5/3 hope it HELPS ☺️ |
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| 44. |
272-198-____=0 I want the answer please |
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Answer» x = 74 Step-by-step EXPLANATION: 272-198-x = 0 74-x = 0 -x = 0-74 -x = -74 X = 74 |
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| 45. |
If the sum of the zeroes of the quadratic polyonomial 3 x square minuskx + 6 is 3 then find the value of k |
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Answer» answer is 13 Step-by-step explanation: 3x-k+6=6 9xk+6=3 15xk=3 xk=3-15 xk=13 |
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| 46. |
George and Maria decided to create a garden in their backyard. George works on the garden every third day and Maria works on the garden every fourth day. |
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Answer» Then what HAPPENED . What ?? |
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| 47. |
ABCD is a square. Triangle DOC is an equilateraltriangle. Find the angles x & y . |
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Answer» Answer: |
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| 48. |
First three common multiples of 82 and 32 |
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Answer» 82= 82×1 32=32×1 8×4 |
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| 49. |
40.)smpsmom 601ÈGIS GgTLj%» olslauG$ZI3. (88bI GgnLjB61) LD6DLP oIuIBSI.GTLOIGILutsa. i) A nation's culture resides in the hearts and in the soul of its people - Mahatma Gandhi41.ii) The art of people is a true mirror to their minds - Jawaharlal Nehru ii The biggest problem is the lack of love and charity Mother Teresa. iv)You have to dream before your dreams can come true - A.P.J. Abdul Kalamv Winners don't do different things; they do things differently - Shiv KheraIG - v (1oAÚGuaM EB6ÍT: 24)DDEI alcomssbGD aloLwalbsaqb:3X8-2442. )616TLI6D5 s1$5lb6TLG5L6 61611hG5.(16dVE)loiba5.43. ) 'B60160fir85656LIs BGIGLInGoH GBTLDsd GbBj SG5. (916vuGI)44. ) BUID LITgITL G5.56bgD uD6M6UULIID G5$510upG56T - GLIG EbTBLD GFiguLjID EBLbGIOJBG5T: 616Vm6) 6olfib5 FuDGla1oi 51IGLDIGTG06L GLiTIGIB|L Q19uh%560.(vs)21516 241f6d bMLGugw BolpiolhsI160I6DpLILîBIP gLBGm601 ouigvMLDALB** * |
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Answer» Answer: GIVE QUESTION PROPERLY dear , i do not UNDERSTAND |
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