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Setler79 [48]
3 years ago
10

Which is longer, 1/4 of line A or 1/4 of line B? Explain.

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

1/4 of Line A is SMALLER than 1/4 of line B.

Step-by-step explanation:

Here, two given lines are A and B.

Now,as we can see, From the two lines Line B is LONGER.

⇒ Length of line A < Length of Line B

Now as we know if we MULTIPLY or DIVIDE an inequality by a same positive number on both the sides, then the SIGN DO NOT CHANGE.

Here, divide both sides of the equation by 4, we get:

\implies \frac{\textrm{Length of line A}}{\textrm{4}} <  \frac{\textrm{Length of line B}}{\textrm{4}}\\\implies \frac{1}{4}({\textrm{Length of line A}}) < \frac{1}{4}({\textrm{Length of line B}})

Hence, 1/4 of Line A is SMALLER than 1/4 of line B.

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What would Y be equal to in the problem 0.5x + 0.6y = 5.4
Alla [95]

Answer:

y = -\frac{5}{6}x + 9

Step-by-step explanation:

0.5x + 0.6y = 5.4

0.6y = -0.5x + 5.4

Multiply 10 on all sides.

6y = -5x + 54

Divide 6 on all sides.

y = -\frac{5}{6}x + 9

7 0
2 years ago
The sum of three numbers is 8. The third is 9
Ierofanga [76]

Answer:

→<u> </u><u>First</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>1</u>

→<u> </u><u>Second</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>2</u>

→<u> </u><u>Third</u><u> </u><u>value</u><u> </u><u>is</u><u> </u><u>5</u>

Step-by-step explanation:

• let numbers be x, y and z

{ \tt{z = 8y - 9 -  -  - (eqn \: 1)}} \\  \\ { \tt{10x = 8y - 7 -  -  - (eqn \: 2)}} \\  \\ { \tt{x + y + z = 8 -  -  - (eqn \: 3)}}

• from eqn 2, make x the subject:

{ \tt{x =  \frac{8y - 7}{10} }} \\

• substitute all variables in eqn 3:

{ \tt{ \frac{8y - 7}{10}  + y + 8y - 9 = 8}} \\  \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\  \\ { \tt{98y = 177}} \\  \\ { \boxed{ \tt{ \: y = 1.8}}}

• find z

{ \tt{z = 8y - 9}} \\  \\ { \tt{z = 8(1.8) - 9}} \\  \\ { \tt{z = 14.4 - 9}} \\  \\ { \boxed{ \tt{ \: z = 5.4 \: }}}

• find x:

{ \tt{x =  \frac{8(1.8) - 7}{10} }} \\  \\ { \tt{x =  \frac{7.4}{10} }} \\  \\ { \boxed{ \tt{ \: x = 0.74 \: }}}

Rounding to nearest value:

{ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{  \rm{z = 5}}}

7 0
2 years ago
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