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Blizzard [7]
2 years ago
7

What is 54 in the ratio 5:11:2

Mathematics
1 answer:
qwelly [4]2 years ago
6 0
5/22 I’m pretty that’s the answer
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Three-fourths of a number increased by one-half is equal to fourteen. Find the number.
ivanzaharov [21]

Three-fourths of a number increased by one-half

= 3/4 x + 1/2

So three-fourths of a number increased by one-half is equal to fourteen:

3/4 x + 1/2 = 14

Multiply both sides by 4

3x + 2 = 56

Subtract 2 from both sides

3x = 54

Divide both sides by 3

x = 18

Answer: The number is 18

8 0
3 years ago
Read 2 more answers
Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
2 years ago
If 3x+2=11<br> then x= ?
leonid [27]

Answer:

X=3

Step-by-step explanation:

What you have to do is minus 2 from 11 and you get 9

Now divide 3 into 9 and you get 3

x=3 you can also plug 3 for x to see if the equation is right

8 0
3 years ago
Read 2 more answers
Sally bought 124 sheets of stickers. Each sheet had 14 stickers. She gave away 204 stickers to her family and friends on Christm
frez [133]

Answer:

Sally has 1,532 stickers remaining.

Step-by-step explanation:

First, you have to determine the total amount of stickers Sally bought by multiplying the number of sheets she bought for the number of stickers in each sheet:

124*14=1,736

Now, you have to subtract the number of stickers Sally gave away to her family and friends from the total amount of stickers she bought:

1,736-204=1,532

According to this, the answer is that Sally has 1,532 stickers remaining.

6 0
2 years ago
What is the nth term rule of the linear sequence below?
timurjin [86]

Answer:

T _{n} = a + (n - 1)d \\ T _{n}  = 13 + (n - 1) \times  - 6 \\ T _{n} = 13 - 6(n - 1) \\ T _{n} = 13 + 6(1 - n)

8 0
2 years ago
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