Answer:
x = 15.65
y = 3.5
Step-by-step explanation:
Step 1
Find the equation for x and y
Equation for x is given as
x² = 7( 7+28) ..........Equation 1
14(14 + y) = x²........ Equation 2
Solving for Equation 1
x² = 7( 7+28)
x² = 7(35)
x² = 245
x = √245
x = 15.65
From Equation 1 , x² has been determined to be 245
Therefore we substitute 245 for y in Equation 2
14(14 + y) = x²........ Equation 2
14(14 + y) = 245
196 + 14y = 245
14y = 245 - 196
14y = 49
y = 49 ÷ 14
y = 3.5
Answer:
5
Step-by-step explanation:
Okay, so adding negative numbers can get very tricky, but I think I can help
Since there are two negative signs next to each other, they both cancel out and become positive so instead you get
-2+7
And if you do this with a number line, if you start and negative 2 and keep going right 7 times, you get 5
I hope I helped! I know negative numbers can be really difficult, but once you get the hang of it I bet you'll be great!
Answer: 25 percent of the jar is filled with orange candies
Step-by-step explanation:
In the jar, there are 3 yellow candies, 3 blue candies, and 2 orange candies. This means that the total number of candies inside the jar would be the sum of the yellow, blue and orange candies. It becomes
3 + 3 + 2 = 8 candies.
The percent of the jar filled with orange candies would be expressed as
number of orange candies/total number of candies × 100
It becomes
2/8 × 100 = 25%
X² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60
x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45
<u>(x² + x - 12)(12x² - 48x - 60)</u>
(x² - x - 20)(3x² - 24x + 45)
<span><u>12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720</u>
</span>3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900
<span>
<u>12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720</u></span>
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900
<u>12x^4 - 36x³ - 252x² + 516x + 720</u>
3x^4 - 27x³ + 9x² + 435x - 900
<u>12(x^4 - 3x³ - 21x² + 43x + 60) </u>
3(x^4 - 9x³ + 3x² + 145x + 300)
<u>4(</u><span><u>x^4 - 3x³ - 21x² + 43x + 60) </u>
</span><span> (x^4 - 9x³ + 3x² + 145x + 300)</span>
Hello!
You add the amount of sections have red or purple
2 + 2 = 4
Put this over the amount of sections
4 / 10 = 0.4
Multiply this by the amount of times he spins the spinner
180 * 0.4 = 72
The answer is about 72 times
Hope this helps!
