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n200080 [17]
3 years ago
13

What two numbers add to get 4 and multiply to get -4

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0
-2 and -2 Two negatives added equal a positive.............. . . .. . . . . . . 
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How to solve -66.17738=6.618(4.3x+1.1)-7.1(x-6.8) have not done algebra in 30 years and cannot help my son with this problem
fenix001 [56]

Let's solve your equation step-by-step.

−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)

<em>Step 1: Simplify both sides of the equation. </em>

−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)

−66.17738=(6.618)(4.3x)+(6.618)(1.1)+(−7.1)(x)+(−7.1)(−6.8)(Distribute)

−66.17738=28.4574x+7.2798+−7.1x+48.28

−66.17738=(28.4574x+−7.1x)+(7.2798+48.28)(Combine Like Terms)

−66.17738=21.3574x+55.5598

−66.17738=21.3574x+55.5598

<em>Step 2: Flip the equation. </em>

21.3574x+55.5598=−66.17738

<em>Step 3: Subtract 55.5598 from both sides</em>.

21.3574x+55.5598−55.5598=−66.17738−55.5598

21.3574x=−121.73718

<em>Step 4: Divide both sides by 21.3574. </em>

21.3574x

21.3574

=

−121.73718

21.3574

<u>x=−5.7</u>

4 0
4 years ago
Read 2 more answers
You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
Vikki [24]

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years,  is 540 grams.

<h3>What is half-life?</h3>

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

  • R' = R/(2^{T/t})............. Equation 1

Where:

  • R = Original amount of Cesium
  • R' = New amount of cesium
  • T = Total time
  • t = Half-life

From the question,

Given:

  • R = 8640
  • T = 120 years
  • t = 30 years

Substitute these values into equation 1

  • R' = 8640/(2^{120/30})
  • R' = 8640/2^{4}
  • R' = 8640/16
  • R' = 540 grams.

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: brainly.com/question/25750315

4 0
2 years ago
A science class consists of 14 boys and 15 girls.
Sergeu [11.5K]

(14 over 5) · (15 over 5)

= 14·13·12·11·10/5! · 15·14·13·12·11/5!

= 6012006

(n over k) is the Binomial coefficient

6 0
4 years ago
Read 2 more answers
Slope = 4/3, (-2, 11)
Lady_Fox [76]

Answer:

y = \frac{4}{3} x + \frac{41}{3}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = \frac{4}{3}, hence

y = \frac{4}{3} x + c ← is the partial equation

to find c substitute (- 2, 11) into the partial equation

11 = - \frac{8}{3} + c ⇒ c = \frac{41}{3}

y = \frac{4}{3} x + \frac{41}{3} ← equation of line


7 0
4 years ago
Emily and Sarah had a total of $80. after Sarah spent 1/3 of her money and Emily spent $17, Emily had twice as much money as Sar
Phoenix [80]
<span> SO in total, Emily and Sarah had a total of 80 dollars in which Emily had twice as much as Sarah.
Let’s solve to find out how much their Money is.
=> Since the ratio of the given data is 2:1, 2 + 1 =3, so let’s divide 80 by 3
=> 80 / 3 = 26.667 ,
=> Emily has twice as this.
=> 26.667 * 2 = 53.33
=> Sarah has 26.67
Now, Sarah spent 1/3 of her money
=> 26.67 / 3 = 8.89 – her remaining money
Emily spent 17 dollars of her money
=> 53.33 – 17 = 36.33</span>



3 0
3 years ago
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