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Leni [432]
3 years ago
12

Ethan sold 2 3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1 4 gallons. Who sold more lemonade, Etha

n or Kayla? How much more? Label the total amount of lemonade Ethan and Kayla sold
Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Step-by-step explanation:

Ethan sold 2/3 gallon of lemonade.

Kayla sold some lemonade too.

Together they sold 1 1/4 gallons.

Subtract 2/3 from 1 1/4 as follows :

S=1\dfrac{1}{4}-\dfrac{2}{3}\\\\=\dfrac{5}{4}-\dfrac{2}{3}\\\\=\dfrac{7}{12}

So, Kayla sold 7/12 gallons of lemonade.

As 2/3 is more than 7/12, it means Ethan sold more lemonade.

\dfrac{2}{3}-\dfrac{7}{12}=\dfrac{1}{12}

It means Eathn sold 1/12 more lemonade.

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For each day that Sasha travels to work, the probability that she will experience a delay due to traffic is 0.2. Each day can be
lions [1.4K]

Answer:

0.8213

Step-by-step explanation:

-This is a binomial probability problem given by the function:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

Given that n=21 and p=0.2, the probability that she experience a delay on at least 3 days is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 3)=1-P(X

Hence, the probability that she experience delay on at least 3 days is 0.8213

6 0
3 years ago
you can speed from 0 to 25 m/s in 25 seconds and your friend can speed up from 0 to 6 m/s in 6 seconds. who is faster
aksik [14]

Answer:

Neither; see below

Step-by-step explanation:

Your acceleration: a=\frac{\Delta v}{\Delta t}=\frac{25-0}{25}=1m/s^2

Your friend's acceleration: a=\frac{\Delta v}{\Delta t}=\frac{6-0}{6}=1m/s^2

Therefore, since both you and your friend accelerate at the same rate, neither is faster.

7 0
2 years ago
The next model of sports car will cost 11 9% more than the current model. The current model costs $18,000 How much will the pric
Anon25 [30]

Answer: Down below

Step-by-step explanation:

We know that 11.9% is the same as .119

The price increase = .119 * 58000 = 6902

The price of the new model is 6902+ 58000

3 0
2 years ago
A machinist can produce 114 parts in 6 minutes. At this rate, how many parts can be produced in 15 minutes?
KonstantinChe [14]

285

just figure out how many is made then multiple that by 15

4 0
2 years ago
Read 2 more answers
ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help
anyanavicka [17]

Step-by-step explanation:

about circle R

arc angle MP = angle MRP = 78°

angle M = angle LMP.

according to the rules of inscribed angles, LMP is half of angle LRP.

LRP + MRP = 180° because together they cover the whole LM segment (half-circle).

LRP = 180 - MRP = 180 - 78 = 102°

so, LMP = angle M = 102/2 = 61°

also circle R (with arc ULNP)

the arc ULNP = arc UL + arc LN + arc NP = 160°

due to the congruent definition of JU and MP we know that arc UL = arc NP.

and we know arc LN = arc JM = 18°.

so,

160 = 2×arc NP + 18

142 = 2×arc NP

arc NP = 71° = arc UL

now, because arc MP + arc LP = 180 (half-circle),

arc MP = 180 - arc LP = 180 - arc LN - arc NP =

= 180 - 18 - 71 = 91°

about the circle R with 2 congruent chords :

the second answer : they are equidistant from R (the center of the circle).

about circle W

arc MK + arc KL = 180° (half-circle).

and we see

arc HL = arc KL = 53°.

so,

arc MK + 53 = 180°

arc MK = 180 - 53 = 127°

about circle M

arc QTS = 204°.

therefore, arc QRS = 360 - arc QTS = 360 - 204 =

= 156° = angle QMS.

according to the rules of inscribed angles

angle QTS = QMS/2 = 156/2 = 78°

4 0
2 years ago
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