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iragen [17]
3 years ago
14

A news report says that 28%28% of high school students pack their lunch. Your high school has 600600 students. How many students

in your high school would you expect to pack their lunch?
Mathematics
1 answer:
TEA [102]3 years ago
3 0
<span>28% = 0.28

0.28 * 600 = 168

answer: 168 </span><span>high school students pack their lunch</span>
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Addition-subtraction method<br><br> 8.92x-5.42y=3.41 5.83x+1.07y=2.37
lyudmila [28]
We want to use the Addition-Subtraction method to solve
8.92x - 5.42y = 3.41             (1)
5.83x + 1.07y = 2.37             (2)

We shall eliminate y from the two equations by Addition.
Multiply (1) by 1.07 and multiply (2) by 5.42  to obtain
1.07*(8.92x - 5.42y) = 1.07*3.41
9.5444x - 5.7994y = 3.6487        (3)

5.42*(5.83x + 1.07y) = 5.42*2.37
31.5986x + 5.7994y = 12.8454   (4)

Add (3) and (4) to obtain
9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454
41.143x = 16.4941
x = 0.4009

From (2), obtain
1.07y = 2.37 - 5.83x
         = 2.37 - 5.83*0.4009
         = 0.0328
y = 0.0307

Answer:
 x = 0.4009
 y = 0.0307
4 0
3 years ago
Sam's closet contains blue and green shirts. He has eight blue shirts, and seven green shirts. Five of the blue shirts have stri
Bas_tet [7]

Answer:  The answer is 80%.


Step-by-step explanation:  Let us define the following events.

B = the event that the shirt is blue,

G = the event that the shirt is green

and

S = the event that the shirt is striped.

So, n(B) = 8,  n(G) = 7,  n(B and S) = 5, n(G and S) = 4.

n(S) = 5 + 4 = 9.

We have

n(B\cup S)=n(B)+n(S)-n(B\cap S)=8+9-5=12.

Therefore, the required probability is

p=\dfrac{n(B\cup S)}{8+7}=\dfrac{12}{15}=\dfrac{4}{5}=0.8=80\%.

Thus, the answer is 80%.


3 0
2 years ago
Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.
Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

So,

y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

8 0
3 years ago
Read 2 more answers
In 2008, the price of gasoline was $2.79 per gallon. In 2009, the price of gasoline was
ikadub [295]

Answer:

36%

Step-by-step explanation:

line up $ and % data like this:

$2.79 represents 100%

$3.79 represents  X%

cross multiply

X*2.79 = 3.79*100

divide both sides by 2.79

X= 3.79*100 / 2.79 ≈ 136%

so it increased 36%

7 0
2 years ago
1) h(x)=3x3<br>g(x)= - 4x+1<br>Find (h+g)(10)​
Aleksandr-060686 [28]

Answer:

(h+g)(10) = 2691

Step-by-step explanation:

h(x) = 3x^3\\g(x) = -4x+1

Adding both equations will make it:

(h+g)(x) = 3x^3-4x+1

Putting x = 10 will make it:

(h+g)(10) = 3(10)^3-4(10)+1

= 3(1000)-40+1

= 3000-39

= 2961

3 0
3 years ago
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