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katovenus [111]
3 years ago
5

Name a value for x that will complete the inequality that is shown then explain why the value makes the inequality true

Mathematics
1 answer:
AnnyKZ [126]3 years ago
7 0

Answer:

0.150 will make the inequality true.

Step-by-step explanation:

0.125 < x < 9/50.

9/50 = 0.180 so the inequality can be written as:

0.125 < x < 0.180.

Any value between 0.125 and 0.180  will fit this inequality so one value would be 0.150.

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If you were to solve the following system by substitution, what would be the best
xxMikexx [17]
To solve the two equations simultaneously using the substitution method we need to rearrange one of the equation to make either 'x' or 'y' the subject. 

We can try in turn rearranging both equations and see which unknown term would have been easier to solve first

Equation 2x+8y=12

Making 'x' the subject
2x=12-8y , dividing each term by 2
x=6-4y⇒ (Option 1)

Making 'y' the subject
8y=12-2x, multiply each term by 8 gives
y= \frac{12}{8} - \frac{2}{8}x⇒ (Option 2)

Equation 3x-8y=11
Making 'x' the subject
3x=11+8y, divide each term by 3
x= \frac{11}{3}+ \frac{8}{3}y ⇒ (Option 3)

Making 'y' the subject
8y=3x-11, divide each term by 8
y= \frac{3}{8}x- \frac{11}{8} ⇒ (Option 4)

From all the possibilities of rearranged term, the most efficient option would have been the first option, from equation 2x+8y=12 with 'x' as the subject, x=6-4y





3 0
3 years ago
Read 2 more answers
Barry has 64 butterflies in his collection. He gave half of them to his sister and 12 to his brother. How many butterflies does
kotykmax [81]
64/2=32-12=20 Barry has 20 butterflies left in his collection

5 0
2 years ago
Read 2 more answers
The area of a playground is 12 square yards. The length of the playground is 3 times longer than its width. Find the length and
marishachu [46]

Answer:

Width is 2 and Length is 6

Step-by-step explanation:

  1. As the data is given, the area of a playground is 12 square yards.
  2. The length of the playground is 3 times longer than its width.  
  3. Let width is x, length is 3 times therefore, length = 3x

As we know the formula for area,

  • Area=length x width.

So by putting values in this formula,

  • 12sq = (3x)(x)  

=> 3x2 = 12

=> x2 = 12/3,

=> x2 = 4 ,

by taking square root we get x= 2,

  • the width is 2 and length is 3 times hence, length is 3(2) = 6.  
6 0
3 years ago
The first number in a pattern is 6. The pattern follows the rule "Add 1, Multiply by 2" Which of the following shows the next fo
Morgarella [4.7K]

Answer:

C

Step-by-step explanation:

Remark

You must do the changes in order. Add 1 then multiply by 2

  • First entry: 6
  • Add 1: 6 + 1 = 7
  • Multiply by 2 = 2*7 = 14
  • Add 1: 14 + 1 = 15
  • Multiply by 2: 15 * 2 = 30

Answer: 7 14 15 30

5 0
2 years ago
If f(x)=2x²-x-6 and g(x)=x²-4, find f(x)÷g(x)
GuDViN [60]
Fx=2x2-x-6 Gx=x2-4
Fx÷Gx
2x2-x-6/x2-4
Simplify
2x+3 x-2/ x-2 x+2
You can cancel out x-2 since they are on both top n bottom
2x+3/x+2 answer is C
5 0
3 years ago
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