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Helen [10]
2 years ago
7

Kendra is buying bottled water for a class trip. She has 16 bottles left over from the last trip. She buys bottles by the case t

o get a good price. Each case holds 24 bottles. How many cases will she have to buy if she wants to have a total of 160 bottles of water?
Mathematics
2 answers:
maria [59]2 years ago
8 0
Answer=6

Given the information, the following equation can be made, where x is equal to the number of cases she needs to buy.

160=16+24x
subtract 16 from both sides
144=24x
divide both sides by 24
6=x

She will have to buy 6 cases to have a total of 160 water bottles.
GalinKa [24]2 years ago
8 0

160-16 gives you 144 , so i divided 144 by 24 and got 6, she had 16 bottles left over so 144+16 = 160. she will need to buy 6 cases of water 

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Answer:

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Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π and r ≥ 0. Order your answers from smallest to largest θ
DerKrebs [107]

Answer:

∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,

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Step-by-step explanation:

Data

r = 8 sin(2θ), r = 4 and r=4

iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°

according the graph 2, the cut points are:

I quadrant:

0+15° = 15°

90°-15°=75°

II quadrant:

90°+15°=105°

180°-15°=165°

III quadrant:

180°+15°=195°

270°-15°=255°

IV quadrant:

270°+15°=285°

360°-15°=345°

No intersection whit the pole (0)

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2 years ago
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Answer:

C. 253g. I just took the test :)

Step-by-step explanation:

6 0
2 years ago
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Sonbull [250]

Answer:

A.) TRUE

B.) TRUE

C.) FALSE

D.) FALSE

E.) FALSE

Step-by-step explanation:

Given that :

SMARTPHONE A:

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CAMERA RESOLUTION : 8 MP

SMARTPHONE B:

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ROM : 64 GB

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SMARTPHONE C:

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ROM : 32 GB

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C CAMERA RESOLUTION > B camera resolution = TRUE

FALSE or TRUE = TRUE

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RAM = TRUE ; ROM = TRUE ; CAMERA RESOLUTION = FALSE

TRUE and TRUE and FALSE = FALSE

d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera.

CAMERA RESOLUTION ON SMARTPHONE B IS LESS, HENCE, STATEMENT = FALSE

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7 0
2 years ago
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Vladimir [108]

Answer:

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Step-by-step explanation:

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Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

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P(X bar < 30.35) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z < 3) = 0.99865

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Therefore, P(30.25 inches < X bar < 30.35 inches)  = 0.99865 - 0.97725

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7 0
2 years ago
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