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kipiarov [429]
2 years ago
10

Which choice is the solution to the inequality below?

Mathematics
2 answers:
Georgia [21]2 years ago
8 0
<h3>hello!</h3>

In order to solve this inequality, we should divide both sides by 9:-

\sf{9x < 72}

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

\sf{x < 8}

Hence, that's the solution to the inequality.

<em>It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)</em>

(Option C is correct :) )

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

DENIUS [597]2 years ago
5 0

x < 8

solving steps:

  • 9x <  72
  • x < 72/9
  • x < 8

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swat32

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Step-by-step explanation:

5 0
3 years ago
Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
Put these numbers in order from least to greatest.<br> -15-26/40, -15, 18/25, 15.85
Norma-Jean [14]
-15 26/40=<span>-15.65
-15
18/25=0.72
15.85
so From least to greatest
 -15.65, -15, 0.72, and 15.85



</span>
6 0
3 years ago
What is 9,276 divided by 8
mamaluj [8]
9,276÷8=1,159.5 i hope i helped you i am a 3rd grader
6 0
3 years ago
Evaluate: y(x+x)+3, where x=1 and y=3 A. 3 B. 10 C. 9 D. 5
Harman [31]

Answer:

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Step-by-step explanation:

y(x+x) +3

{x= 1 , y= 3}

Putting values..

3 (1+1) +3

= 3 (2) +3

= 6 + 3

= 9

So, the option C. 9 is the correct answer.

8 0
2 years ago
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