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MA_775_DIABLO [31]
2 years ago
5

Which number line shows all the values of that make the inequality -3 +1 < 7 true?

Mathematics
1 answer:
Assoli18 [71]2 years ago
5 0

Answer:

Number line D is true

Step-by-step explanation:

Given

-3x + 1 < 7

See attachment for number lines

Required

Which number line makes the inequality true

First, we solve for x in -3x + 1 < 7

-3x < 7 - 1

-3x < 6

Divide through by -3

\frac{-3x}{-3} < \frac{6}{-3}

x > -2

The inequality means x is greater than -2.

This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened

Number line D is true

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3 years ago
Jimmy wants to serve iced tea at his birthday party. He purchases 14 containers filled with 1.5 liters of tea. Approximately how
jenyasd209 [6]

Answer:

5.5 gallons

Step-by-step explanation:

set up a proportion; Liters in numerator and Gallons in denominator

let x = approx number of gallons

<u> 21 </u> = <u> 3.8 </u>

x           1

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4 0
3 years ago
Find the value of x<br><br> 36<br> 4<br> 18<br> 3
Zanzabum

Answer:

D:3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
25x^2+40x+16=28<br><br><br><br><br>Ansa ASAP
Paha777 [63]
Solution:
1. Move all terms to one side
<span>25{x}^{2}+40x+16-28=0</span>  2. Simplify <span>25{x}^{2}+40x+16-28 to <span>25<span>x<span><span>​2</span><span>​​</span></span></span>+40x</span></span><span><span>−12</span></span>
<span>25{x}^{2}+40x-12=0</span>  3. Apply the Quadratic Formula<span>x=\frac{-40+20\sqrt{7}}{50},\frac{-40-20\sqrt{7}}{50}

</span> 4. Simplify solutions
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8 0
3 years ago
In quadrilateral QRST, Angle R S T measures (5x+15)°. Angle TQR measures (4x+3)°. Circle P is inscribed with quadrilateral Q R S
Assoli18 [71]

Answer:

105degrees

Step-by-step explanation:

Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;

<RST + <TQR = 180

5x+15 + 4x+ 3 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

Since <RST = 5x+15

<RST = 5(18) + 15

<RST = 90 + 15

<RST = 105degrees

Hence the measure of <RST is 105degrees

7 0
2 years ago
Read 2 more answers
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