Answer:
111 girls
Step-by-step explanation:
Given
Boys: Every 17 outdoor ≈ 20 indoor
Girls: 3:2 outdoor to indoor
First, we'll determine the ratio of outdoor to indoor for boys;
Recall that;
17 choose indoor while 20 choose outdoor;
The ratio of outdoor to indoor is;
20 : 17
Convert to fraction:

Let x represent number of boys that choose indoor when 85 boys chose outdoor;
The ratio of outdoor to indoor is;
x : 85
Convert to fraction

Equate both fractions

Multiply both sides by 85





This implies that when 85 chose outdoor, 100 chose indoor for boys;
Total = 100 + 85
Total = 185 boys surveyed
<em>Recall that the question says the same number of boys and girls were surveyed</em>
This implies that
Total Girls Surveyed = 185
For the girl ratio;
Outdoor to Indoor= 3:2
Number of girls that chose outdoor is as follows;





<em>Hence, the number of girls that chose outdoor is 111</em>
Answer:
21.
Step-by-step explanation:
f(x) = 2x^2 - 3x + 7.
When x = -2,
f(-2) = 2(-2)^2 - 3(-2) + 7
= 2(4) - (-6) + 7
= 8 + 6 + 7
= 21.
Answer:
27.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relationship between the angle and the relevant sides of the triangle is ...
Cos = Adjacent/Hypotenuse
In this case, the hypotenuse of the triangle is the length along the road; the distance parallel to the ground is the side adjacent to the angle of depression. So, you have ...
cos(angle) = (23 mi)/(26 mi)
angle = arccos(23/26) ≈ 27.8°
The angle of depression is about 27.8°.
_____
<em>Comment on the road</em>
The grade on such a road is about 53%. A road with an 8% grade for any distance is considered marginally safe for trucks. A 53% grade for 26 miles would wear out the brakes in no time.
The elevation drop on this road is about 12 miles, or more than 64,000 feet. The highest mountain on Earth is less than half that height, so this must be on a different planet.
The answer is C. 4/10+4/100+4/1000+4/10000. Hope it help!
If C={-10,-9,-8,-7,-6,-5} and D={-6,-5,-4,-3,-3,-1} what is CnD
nalin [4]
Answer:
-123 and 203 130 31804
Step-by-step explanation:
Apex idk