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egoroff_w [7]
2 years ago
12

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

oof the shelves each display 1 car?
Mathematics
1 answer:
Lera25 [3.4K]2 years ago
3 0

Answer:

4 shelves

Step-by-step explanation:

if there is 8 shelves that display 1 car then that means there is 8 cars total.

so if you need a total of 12 cars then you would do (total of cars needed - total of cars you have).

(12-8) which would equal 4.

you need 4 cars left but on each shelf going forward needs to have 2 cars on it.

now since you have 4 cars you would divide that by the amount of cars on each shelf going forward.

4/2) which equals 2.

you need 2 more shelfs for the 4 cars needed.

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OABC is a tetrahedron and OA=a, OB=b, and OC=c. The point P and Q are such that OA =AP and 2OB = BQ. The point M is a midpoint o
serg [7]

Solution:

Let OA=a, OB=b, and OC=c

Then OP=2a and OQ=3b

OA+AB=OB ⇒ AB=b-a

OP+PQ=OQ ⇒ PQ = 3b-2a

OC+CQ = OQ ⇒ CQ = 3b-c

QM= -\frac{1}{2} PQ = a-\frac{3}{2}b

OM=OQ+QM = 3b + a-\frac{3}{2}b = a+\frac{3}{2}b

OM+MB=OB=>MB = b-(a+\frac{3}{2}b) = -a-\frac{1}{2}b

(i) AB = b-a

(ii) PQ = 3b-2a

(iii) CQ = 3b-c

(iv) QM = a-\frac{3}{2}b

(v) MB =  -a-\frac{1}{2}b

(vi) OM = a+\frac{3}{2}b

5 0
2 years ago
1. Arjun puts £750 into his savings account. The account earns 5% simple interest per annum. After 4 years, how much money will
musickatia [10]

Answer:

1. 900

2. 350

Step-by-step explanation:

the formula,

A= P(1+rt)

A= final amount

P= starting amount

r= intrest rate

t= time

1. A=750(1+.05*4)

A=750(1.2)

A=900

2. A=1500(1+.1*2)

A=1500(1.1)

A=1650

But theyre

asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned

1650-1500=350

4 0
2 years ago
Use complete sentences to explain the relationship between tan 5pi/4 and tan pi/4. In your answer, reference specific values on
Kisachek [45]
Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.

5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant. 

So you are talking about one two angles that are in the first and third quadrants.

Step One
Find the Tangent of pi/4 using the unit circle as a reference.

Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)

That is the point where the opposite / adjacent = 0.707/0.707 = 1

Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)

 
8 0
2 years ago
The following are the hypotheses for a test of the claim that college graduation statue and cola preference are independent. H0:
Shkiper50 [21]

Answer:

\chi^2 = 0.579

And the critical value for the significance level used is:

\chi^2_{crit}= 5.991

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

Step-by-step explanation:

For this case we want to test the following hypothesis:

Null hypothesis: College graduation status and cola preference are independent

Alternative hypothesis: College graduation status and cola preference are dependent

For this case we got a calculated statistic of:

\chi^2 = 0.579

And the critical value for the significance level used is:

\chi^2_{crit}= 5.991

Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent

7 0
2 years ago
Noah fills a soap dispenser from a big bottle that contains 2 13 liters of liquid soap. That amount of soap will fill 3 12 dispe
Harrizon [31]

Answer:

0.68L per dispenser

Step-by-step explanation:

Big bottle contain 213L of soap.

Big bottle will fill 312 dispensers.

This means 1 each dispenser can take 213/312 litres = 0.68L per dispenser.

3 0
2 years ago
Read 2 more answers
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