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zmey [24]
2 years ago
9

Nurse Jackson examines immunization records for this past winter at the school where she works. Got flu Didn't get flu Total Vac

cinated 120 380 500 Not vaccinated 160 140 300 Total 280 520 800 How many students were not vaccinated and did not get the flu? O A. 300 B. 380 O C. 160 D. 140​
Mathematics
1 answer:
Harman [31]2 years ago
6 0

Answer:

140

Step-by-step explanation:

ap3x

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A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

10y=720

y=72\ dimes

Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

7 0
3 years ago
A ladder, 14 feet long, is leaning against
PolarNik [594]

Answer:

12.12ft

Step-by-step explanation:

14² = 7² + x²

x² = 14² - 7²

x² = 196 - 49

x² = 147

x = √147

x = 12.12ft

6 0
3 years ago
Read 2 more answers
The distance between two locations, A and B, is calculated using a third location C at a distance of 15 miles from location B. I
Jobisdone [24]
We will first calculate ∠A:
∠∠A = 180° - ( 105° + 20 ° ) = 180° - 125° = 55°
Then we will use the Sine Law:
15 / sin 55° = AB / sin 20°
15 / 0.81915 = AB / 0.342
AB · 0.81915 = 15 · 0.342
AB · 0.81915 = 5.13
AB = 5.13 : 0.81915
AB = 6.26 ≈ 6.3 miles
Answer: The distance between the locations A and B is 6.3 miles.
4 0
3 years ago
Read 2 more answers
13. Given: AB//DC, Prove: Triangle ABE is congruent to Triangle DCE please help! I am so far behind on my work right now I will
scoundrel [369]
2.Alternate Interior angles theorem.
They given angles are alternate and interior when compared to each other, so they are congruent.  
3 Vertical angles theorem.
The two angles are vertical angles and are not congruent. 
4 Angle-Angle Similarity Postulate. 
Because there are two corresponding angles that are congruent they are similar triangles by the angle-anlge similarity postulate.
7 0
3 years ago
the weight of an elephant is 10 to the 3rd times the weight of a cat if the elephant weighs 14000 pounds how much does the cat w
Andreyy89
Wouldn't you just divide 14000 by 10^3
6 0
3 years ago
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