Mathematics, 17.07.2019 04:20 gumbyseth1969p45qjl

Alyssa and jessie are in the same class. yesterday they took the same vocabulary quiz with the total of 20 questions. alyssa answered 16 of these questions correctly, jessie answered three times as many questions correctly as she did incorrectly which student scored a higher percentage of the questions correctly and explain why? answer fast

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Alyssa's ratio of correct questions to total questions is 16 : 20. 16 divided by 20 = 0.80 x 100% = 80%, Alyssa got a B on her quiz.
In order to get an A on the exam, Alyssa needs a ratio of 90 : 100. Looking at the solutions in part (a), 100 is 5 times 20 so to see how many questions Alyssa needs to answer correctly out of 20 we can divide 90 by 5. Since 90 ÷ 5 = 18, Alyssa needs to answer 18 questions correctly. The ratios 18 : 20 and and 90 : 100 are equivalent since both numbers are scaled by the same factor, 5, to get from the first pair of numbers to the second.

Jessie answered 3 times as many questions correctly than she did incorrectly. This means that for every 1 question Jessie answered incorrectly, she answered 3 questions correctly. In other words, Jessie's ratio of correct answers to incorrect answers is 3 : 1.

Answer from: daniel1480

Alyssa has a higher percentage than Jessie becoz when Alyssa scored 16 marks, Jessie scored only 12 marks. Alyssa has a percentage of 80% but Jessie has percentage of 60%

This is accurate no doubt

Answer from: Quest

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

Answer from: Quest

the length of o'p' is $1.5\times op$ .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

$k=\frac{o'p'}{op}$

the scale factor is 1.5.

$1.5=\frac{o'p'}{op}$

multiply both sides by op.

$1.5\times op=o'p'$

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is $1.5\times op$ .

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