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Stells [14]
3 years ago
15

What is the best first step in solving the equation below.

Mathematics
2 answers:
REY [17]3 years ago
8 0

Good evening ,

______

Answer:

Subtract 3x on both sides

___________________

Step-by-step explanation:

3x−5=7x+11 ⇔ (-3x)+3x−5=+(-3x)+7x+11 ⇔ −5=4x+11 ⇔ -16=4x ⇔ -4=x.

:)

mars1129 [50]3 years ago
7 0

Answer:

<h2>Subtract 3x from both sides</h2>

Step-by-step explanation:

3x - 5 = 7x + 11

Firs step:

add 5 to both sides: 3x - 5 + 5 = 7x + 11 + 5 → 3x = 7x + 16

or

subtract 7x from both sides: 3x - 7x - 5 = 7x - 7x + 11 → -2x - 5 = 11

or

subtract 3x from both sides: 3x - 3x - 5 = 7x - 3x + 11 → -5 = 4x + 11

or

subtract 11 from both sides: 3x - 5 - 11 = 7x + 11 - 11 → 3x - 16 = 7x

If you want solution.

3x - 5 = 7x + 11       <em> subtract 3x from both sides</em>

3x - 3x - 5 = 7x - 3x + 11

-5 = 4x + 11         <em>subtract 11 from both sides</em>

-5 - 11 = 4x + 11 - 11

-16 = 4x            <em>divide both sides by 4</em>

-16/4 = 4x/4

-4 = x → x = -4

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3 years ago
Manny and Evan were flying paper airplanes. Manny’s airplane flew 36.5 centimeters and Evan’s airplane flew 18 centimeters. How
professor190 [17]
First subtract manny value 36.5 from Evan values 18 which will give u 18.5 cm which then u have to convert. Since 1 cm is about .4, we can multiply 18.5 by .4 to get the answer 7.4 inches
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3 years ago
Read 2 more answers
What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.
Cerrena [4.2K]

Answer:

1/2

Step-by-step explanation:

Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.

The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2

7 0
2 years ago
100 points to answer!
choli [55]

Answer: 27.47

Step-by-step explanation:

(sin(70) * 10) / sin(20)) = 27.47

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4 0
2 years ago
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The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.
slamgirl [31]

Answer:

b=-6\\c=7

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

y=a(x-x_1)(x-x_2)

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}

substitute

y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Applying the distributive property convert to expanded form

y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})

y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)

y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7

y=x^2-6x+7

therefore

b=-6\\c=7

7 0
2 years ago
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