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fredd [130]
2 years ago
13

Find four consecutive integers with a sum of 106.

Mathematics
1 answer:
grandymaker [24]2 years ago
6 0
4 consecutive integers...
x, x + 1, x + 2, x + 3

x + x + 1 + x + 2 + x + 3 = 106
4x + 6 = 106
4x = 106 - 6
4x = 100
x = 100/4
x = 25

x + 1 = 25 + 1 = 26
x + 2 = 25 + 2 = 27
x + 3 = 25 + 3 = 28

ur 4 integers are : 25,26,27,28
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What is x ? please help :)
bekas [8.4K]

Answer:

x =12

Step-by-step explanation:

The two angles are complementary, so the add to 90 degrees

5x+1/2x +24 = 90

Combine like terms

5 1/2 x +24 = 90

Subtract 24 from each side

5 1/2 x = 90-24

Change the mixed number to an improper fraction

11/2 x = 66

Multiply by the reciprocal 2/11 on each side

2/11 *11/2 x = 66*2/11

x = 6*2

x =12

3 0
3 years ago
Malachy, Sushil and Fiona share some sweets in the ratio 7:1:1. Malachy gets 90 more sweets than Fiona. How many sweets does Sus
VashaNatasha [74]

Answer:

15

Step-by-step explanation:

Fiona (F) = Sushi (S)

Malachy (M) = 7 Fiona (F)

M = F + 90

F + 90 = 7F

6F = 90

F (Fiona) = 15

S (Sushi) = 15

check: Malachy (M) = 15 * 7 = 105

M-F = 105 - 15 = 90

3 0
3 years ago
57. What number is 25% of 32?
horrorfan [7]
57. 8
58. 8
59. 24
60. 11.25 or 11
61. 20.52 or 21
62. 144
63. 7.37 or 7
64. 50%
65. 25%
66. 10%
67. 20%
68. 25%

hope this helped :)
5 0
3 years ago
The area of triangle ABC is _____.
Marizza181 [45]
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 
SEE ATTACHED IMAGE.
 
Using Heron's Formula we can find the area of the triangle.
 A = root (s (s-a) * (s-b) * (s-c))
 s = (a + b + c) / 2
 Where,
 s: semi-perimeter
 a, b, c: sides of the triangle
 Substituting values:
 s = (15 + 16 + 20) / 2
 s = 25.5
 s = 26
 The area will be:
 A = root (26 * (26-15) * (26-16) * (26-20))
 A = 130.9961832
 A = 130 u ^ 2
 Answer:
 
The area of triangle ABC is:
 
C.
 
130 u ^ 2

5 0
3 years ago
Decorations for a seventh-grade dance take 1/6 of the student council's budget. entertainment takes 3/8 of the budget. what frac
defon

Answer:

11/24 is left over

Step-by-step explanation:

1/6 + 3/8 = 13/24

24/24 - 13/24 = 11/24

11/24 of the budget is left over

Hope this helps

5 0
2 years ago
Read 2 more answers
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