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Maslowich
2 years ago
15

The table shows different ways that Cameron can display his 12 model cars on shelves. How many shelves will display 2 cars if 8

of the shelves each display 1 car
Mathematics
2 answers:
EleoNora [17]2 years ago
6 0
2 shelves will display 2 cars because if 8 shelves display 1 car then there would be missing 4 cars to display and if you display 2 cars in one shelf you will need 2 shelves 
bija089 [108]2 years ago
4 0

Answer:

2 selves.

Step-by-step explanation:

Let x represent the number of shelves having 2 cars.

Number of cars on x shelves would be 2x.

We have been given that 8 of the shelves each display 1 car, so number of cars displayed on 8 shelves would be 8\times 1 =8.

We have been given that Cameron 12 model cars to display on shelves. This means that number of cars on x shelves plus 8 cars would be equal to 12.

We can represent this information in an equation as:

2x+8=12

2x+8-8=12-8

2x=4

\frac{2x}{2}=\frac{4}{2}

x=2

Therefore, 2 shelves will display 2 cars.

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Help please <br> If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
krok68 [10]

Answer:

$6.76

Step-by-step explanation:

Multiply 8.45 by 0.8 and you will get 6.76

5 0
2 years ago
Read 2 more answers
Rui is a professional deep water free diver.
Vladimir [108]
The correct question is 
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

we have that
</span>d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola) 
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure

the vertex is the point  (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>

5 0
2 years ago
Read 2 more answers
Match the following STATEMENTS to the reasons listed. NOTE: In a traditional proof format, the statements would be on the left s
klio [65]

1. RM = SN, TM = TN Addition Property of Equality  

2. ∠T = ∠T Reflexive  

3. RM + TM = SN + TN Substitution  

4. RM + TM = RT, SN + TN = ST Betweeness  

5. RT = ST CPCTE  

6. Triangle RTN congruent to Triangle STM Given  

7. RN = SM SAS

5 0
2 years ago
Read 2 more answers
hree TAs are grading a final exam. There are a total of 60 exams to grade. (a) How many ways are there to distribute the exams a
nalin [4]

Answer:

a. 205320

b. 34220

c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

Step-by-step explanation:

a) The number of ways to dustribute exams among the TA's is:

n / (n - r)!

n= number of things to choose from

r= Choosing r number

60P3= 60! / (60 - 3)!

(60)(59)(58)(57)! / (57)!

=205320

B) The number of ways to dustribute the exams among the TA's is:

n! /(n - r)! r!

60C3= 60! /(60 - 3)! 3!

= 60!/ 57! 3!

= 60 × 59 × 58 / 3 × 2 × 1

= 34220

C) The required number of ways is:

60C25 + 60C20 + 60C15

= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

6 0
2 years ago
Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

7 0
2 years ago
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