Lets call those two unknown numbers a, b and write the info in the problem as equations:
a*b = 30
a + b = 40
lets solve for a in the second equation and substitute in the first:
<span>a + b = 40
</span>a = 40 - b
therefore:
<span>a*b = 30
</span>(40 - b)b = 30
40b - b^2 = 30
b^2 - 40b + 30 = 0
if we apply the general quadratic equation to solve we have:
b = (40 +- √(1600 - 120))/2
b = (40 +- √(1480<span>))/2
</span>b = (40 +- 38.47)/2
There are two solutions:
<span>b1 = (40 + 38.47)/2
</span><span>b1 = 39.24
b2 = (40 - 38.47)/2
</span>b2 = 0.765
lets use the second solution <span>b2 = 0.765, and substitute in the first equation to find a:
</span><span>a*b = 30
</span>a*0.765 = 30
a = 30/0.765
a = 39.216
so the numbers are 39.216 and 0.765
Answer:
114ft
Step-by-step explanation:
3 times 3=9
9times 2=18
8 times 3=24
24 times 2=48
8 times 3 = 24
24 times 2 =48
48+48+18=114
3(x + 4) = x/2 - 8
First, we can multiply both sides by 2:
6(x+4) = x - 16
6x + 24 = x - 16
Isolate x:
5x = -16 - 24
5x = -30
x = -6
A ratio is done by setting a relationship between two values using a colon. It is usally explained using a description:description and then you must input the values given for that description.
3.) Since this one has the descriptions of diet and regular sodas and there are 7 and 8 correspondingly, there are two different ratios that can be set up.
diet:regular = 7:8
This means that there are 7 diet sodas for every 8 regular sodas.
Or
regular:diet = 8:7
This means there are 8 regular sodas for every 7 diet sodas.
With this information, the only correct answer is A!
4.)Since this one has the descriptions of green and red apples and there are 5 and 7 correspondingly, there are two different ratios that can be set up.
green:red = 5:7
This means that there are 5 green apples for every 7 red apples.
Or
red:green= 7:5
This means there are 7 red apples for every 5 green apples.
With this information, there are actually two correct answers of B and D.
5.)Since this one has the descriptions of texts and calls made and there are 9 and 3 correspondingly, there are two different ratios that can be set up.
texts:calls = 9:3
This means that there are 9 texts for every 3 calls made.
Or
calls:texts = 3:9
This means that there are 3 calls for every 9 texts made.
With this information, the only correct answer is B!
I hope this helps!
Answer: 84.61%
Explanation.
Refer to the diagram shown below.
When the z-score is z = 0, then the area under the distribution curve is 50%, which corresponds to the mean, μ.
The given z-score is greater than zero, so the shaded area is 34.61%. to the right of z=0
The area to the left of z = 1.02 is 50% + 34.61% = 84.61%.
This percentage represents the people with IQs at or lower than Atfif's score.
