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Bosnian
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87 390 The difference between 87 392 and 87 390 is 2. The difference between 87 395 and 87 392 is 3. 87 392 is closer to the number 87 390
13.868 is wrong answer. Calculate like this: 102.5 ( x - 11.92 ) = 71.6 Divide both sides by 102.5 x - 11.92 = 71.6 / 102.5 Add 11.92 to both sides. x = 71.6 / 102.5 + 11.92 x = 0.698536585 + 11.92 x = 12.618536585 x = 12.619 rounded to 3 decimal places
1 / 7 + 2 / 5 = ( 5 ∙ 1 ) / ( 5 ∙ 7 ) + ( 7 ∙ 2 ) / ( 7 ∙ 5 ) = 5 / 35 + 14 / 35 = 19 / 35
c = 17 is wrong answer. 4 c - 1 = 64 Add 1 to both sides 4 c = 65 c = 65 / 4 = 16.25
5 / 20 = 5 ∙ 1 / 5 ∙ 4 5 / 20 = 1 / 4 For fractions that are equivalent, multiply the numerator and denominator by the same number. 2 ∙ 1 / 2 ∙ 4 = 2 / 8 3 ∙ 1 / 3 ∙ 4 = 3 / 12 4 ∙ 1 / 4 ∙ 4 = 4 / 16 etc.
For the umpteenth time, the solution is wrong. First equation. - 4 x + 3 y = - 12 Multiply both sides by - 1 4 x - 3 y = 12 Add this equation to the second equation. 4 x - 3 y = 12 + - 2 x + 3 y = - 18 _____________ 2 x = - 6 x = - 6 / 2 x = - 3 Put this
The doubled dimensions are 2 • 3 cm = 6 cm and 2 • 4 cm = 8 cm New area = 6 cm • 8 cm = 48 cm²
2 x - 9 is wrong answer. 3 x - 4 - ( x - 5 ) = 3 x - 4 - x + 5 = 3 x - x - 4 + 5 = 2 x + 1
x / 2 - x = 3 x / 8 - 11 - x / 2 = 3 x / 8 - 11 Add 11 to both sides. - x / 2 + 11 = 3 x / 8 Add x / 2 to both sides. 11 = 3 x / 8 + x / 2 11 = 3 x / 8 + 4 x / 8 11 = 7 x / 8 Multiply both sides by 8 88 = 7 x 7 x = 88 x = 88 / 7
Perimeter: P = 2 ( L + W ) where L = length W = width In this case x = 12 m so L = 2 x + 6 = 2 ∙ 12 + 6 = 24 + 6 = 30 m W = 2 x - 5 = 2 ∙ 12 - 5 = 24 - 5 = 19 m P = 2 ( L + W ) = P = 2 ( 30 + 19 ) = 2 ∙ 49 P = 98 m
5 / 2 x = - 1 / 8 Multiply both sides by 2. 5 x = - 2 / 8 = 2 ∙ ( - 1 ) / 2 ∙ 4 5 x = - 1 / 4 Divide both sides by 5. x = - 1 / 20
3 3/7 = 3 + 3 / 7 = 21 / 7 + 3 / 7 = 24 / 7 3 3/7 / ( 6 / 7 ) = 24 / 7 / ( 6 / 7 ) = 24 / 6 = 4
Again wrong answer. 5 / 9 + ( - 4 / 5 ) = 5 / 9 - 4 / 5 = 5 ∙ 5 / 5 ∙ 9 - 9 ∙ 4 / 9 ∙ 5 = 25 / 45 - 36 / 45 = - 11 / 45 Answer D.
3 / 4 - ( - 2 / 3 ) = 3 / 4 + 2 / 3 3 • 3 / 3 • 4 + 4 • 2 / 4 • 3 = 9 / 12 + 8 / 12 = 17 / 12
w / 4 - 4 = 3 Add 4 to both sides. w / 4 = 7 Multiply both sides by 4. w = 28
- 9 p - 17 = 10 Add 17 to both sides. - 9 p = 27 Divide both sides by - 9 p = 27 / - 9 p = - 3
A. 3 1/8 = 3 + 1 / 8 = 24 / 8 + 1 / 8 = 25 / 8 1 5/8 = 1 + 5 / 8 = 8 / 8 + 5 / 8 = 13 / 8 3 1/8 / 1 5/8 = ( 25 / 8 ) / ( 13 / 8 ) = 25 • 8 / 8 • 13 = 25 / 12 = ( 13 + 12 ) / 13 = 13 / 13 + 12 / 13 = 1 + 12 / 13 = 1 12/13 B. ( 2 / 7 ) / x = 2 / 7 Now: (
( 2 + 6 ) x 2= 8 • 2 = 16 48 / ( ( 2 + 6 ) x 2 ) - 1 = 48 / 16 - 1 = 3 - 1 = 2
18 : x = x : 8 Cross multiply. 18 • 8 = x • x 144 = x² x² = 144 x = ± √144 x = ± 12 The solutions are: x = - 12 and x = 12
84 - 63 = 21 ( 21 / 84 ) • 100% = 0.25 • 100% = 25%
A dozen is a grouping of twelve. $1.35 / 12 = $0.1125
304 mil / 4 h = 76 mil / h If your question means: How many miles will it travel in 7 1/2 hours? then: 7 1/2 h = 7.5 h 76 mil / h • 7.5 h = 570 mil If your question means: How many miles will it travel in 712 hours? then: 76 mil / h • 712 h = 54 112
2 2 / 3 = 2 + 2 /3 = 6 / 3 + 2 / 3 = 8 / 3 2 2/5 = 2 + 2 / 5 = 10 / 5 + 2 / 5 = 12 / 5 When multiplying fractions, simply multiply the numerators together and then multiply the denominators together. 2 2/3 • 2 2/5 = ( 8 / 3 ) • 12 / 5 = 8 • 12 / 3
30% = 30 / 100 = 0.3 30% of 80 = 0.3 ∙ 80 = 24 __________________________ 30% of 8080 = 0.3 ∙ 8080 = 2424
Come one. 6 - 2 √5 is same as 2 ( 3 - √5 ) because 6 - 2 √5 = 2 ∙ 3 - 2 ∙ √5 = 2 ( 3 - √5 ) So: 8 / ( 3 + √5 ) = 6 - 2 √5 = 2 ( 3 - √5 )
3 / 5 = 4 ∙ 3 / 4 ∙ 5 = 12 / 20 ( 3 / 5 ) / ( 1 / 20 ) = ( 12 / 20 ) / ( 1 / 20 ) = 12 12 pieces. Check result: 3 / 5 m = 6 / 10 m = 0.6 m 1 / 20 m = 0.05 m 12 ∙ 0.05 m = 0.6 m
3 / 4 = 0.75 If 1” equals 20’ then: 3 / 4” = 0.75” equals: 0.75 • 20’ = 15’
256 miles / 16 gallons = ( 255 / 16 ) miles / gallon = 16 miles / gallon
w² - 5 = w - 1 Add 1 to both sides. w² - 4 = w Subtract w to both sides. w² - w - 4 = 0 The solutions are: w = 1 / 2 - √17 / 2 and w = 1 / 2 + √17 / 2
b(n) = 6 n = 90 6 n = 90 n = 90 / 6 = 15
k = Keri's age d = Daughter's age Keri is 10 years less than four times her daughter's age means: k = 4 d - 10 If Keri is 38 years old, then: 38 = 4 d - 10 Add 10 to both sides. 48 = 4 d This is same as: 4 d = 48 d = 48 / 4 d = 12 Her daughter is 12 years
423% = 423 / 100 = 4.23
7 r - 7 = 2 r + 18 Subtract 2r to both sides. 5 r - 7 = 18 Add 7 to both sides. 5 r = 25 r = 25 / 5 r = 5
10 / 25 = 10 ∙ 4 / 25 ∙ 4 = 40 / 100 = 40%
a = semi major axis = 50 / 2 = 25 m b = semi minor axis = 20 m Equation of ellipse: x² / a² + y² / b² = 1 x² / 25² + y² / 20² = 1 When y = 10 m then: x² / 25² + 10² / 20² = 1 x² / 625 + ( 10 / 20 )² = 1 x² / 625 + 0.5² = 1 x² / 625 + 0.25
The solutions are: x + 25 = 2 Subtract 25 to both sides. x = - 23 x - 6 = - 16 Add 6 to both sides. x = - 10 x + 19 = - 5 Subtract 19 to both sides. x = - 24 x - 7 = 28 Add 7 to both sides. x = 35 x = - 24 is lowest value so equation x + 19 = - 5 has the
2 1/3 = 2 + 1 / 3 = 6 / 3 + 1 / 3 = 7 / 3 9 / ( 7 / 3 ) = 9 ∙ 3 / 7 = 27 / 7 $14 ∙ 27 / 7 = $378 / 7 = $54 OR x = cost of 9 feet ribbon ( 2 1/3 ) / 14 = 9 / x ( 7 / 3 ) / 14 = 9 / x 7 / ( 14 ∙ 3 ) = 9 / x 7 / 42 = 9 / x Cross multiply. 7 x = 378 x =
Multiply both sides by 8. 7 x = 168 x = 168 / 7 x = 24 Answer A
1 / 2 = 5 • 1 / 5 • 2 = 5 / 10 7 1 / 2 = 7 + 1 / 2 = 7 + 5 / 10 6 3/10 = 6 + 3 / 10 7 1/2 - 6 3/10 = 7 + 5 / 10 - ( 6 + 3 / 10 ) = 7 + 5 / 10 - 6 - 3 / 10 = 7 - 6 + 5 / 10 - 3 / 10 = 1 + 2 / 10 = 1 + 2 • 1 / 2 • 5 = 1 + 1 / 5 = 1 1/5 Answer C
Point-slope form: y - y1 = m ( x - x1 ) where m = slope x1 and y1 are coordinates of point In this case; m = - 7 , x1 = - 5 , y1 = 4 y - y1 = m ( x - x1 ) y - 4 = - 7 [ x - ( - 5 ) ] y - 4 = - 7 ( x + 5 )
2 ( y + a ) - y > a 2 y + 2 a - y > a y + 2 a > a Subtract 2a to both sides. y > - a
14 / 6 = 2 ∙ 7 / 2 ∙ 3 = 7 / 3
In A.P a = initial term d = common difference n-th term: an = a + ( n - 1 ) d a1 = a a2 = a + d a3 = a + 2 d In this case a1 = x a2 = 3 x + 1 a3 = 7 x - 4 so: a1 = x a2 = a1 + d 3 x + 1 = x + d a3 = a1 + 2 d 7 x - 4 = x + 2 d Now you must solve system: 3 x
x = number Question means: ( x + 11 ) • 3 = 45 3 x + 33 = 45 Subtract 33 to both sides. 3 x = 12 x = 12 / 3 x= 4 Check result. 4 + 11 = 15 15 • 3 = 45
Yes, about 1 1/2 yd. You wanted estimate the combined width. You don't want an exact answer. The combined width = 1 / 2 + 5 / 6 5 / 6 is close to 1 The combined width should be close to 1 / 2 + 1 = 1 1/2 yd
Estimating: 1 / 4 ≤ 23 / 40 ≤ 3 / 4 Rund it to 1 / 2 1 /4 ≤ 9 / 30 ≤ 3 / 4 Round it to 1 / 2 Estimating: 1 / 2 - 1 / 2 = 0
Simplify 9 / 30. 9 / 30 = 3 ∙ 3 / 3 ∙ 10 = 3 / 10 Multiply numerator and denominator by 4 3 / 10 = 4 ∙ 3 / 4 ∙ 10 = 12 / 40 23 / 40 - 9 / 30 = 23 / 40 - 12 / 40 = 11 / 40
y = 13 x / 8 = 1.625 x Check: x = 8 , y = 13 • 8 / 8 = 13 x = 16 , y = 13 • 16 / 8 = 208 / 8 = 26 x = 24 , y = 13 • 24 / 8 = 312 / 8 = 39 Answer C
p = price A) p • ( n - 3 ) = 11400 p = 11400 / ( n - 3 ) B) p = 15000 / ( n + 3 )
- 7 + 5 ( 3 - 9 m ) = - 7 + 5 • 3 + 5 • ( - 9 m ) = - 7 + 15 - 45 m = 15 - 7 - 45 m = 8 - 45 m
