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elena-14-01-66 [18.8K]
3 years ago
8

Anita earns 60 points every time she shops at a grocery store. She needs a total of 2,580 points to receive a free prize. So far

, she has earned 480 points. How many more times will Anita have to shop at the grocery store in order to earn the additional points she needs for a free prize?
Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

Answer:

35 times

Step-by-step explanation:

The points Anita has remaining for a prize is  2580 - 480 = 2100 points

Since each time she earns 60 points, to get 2100 points, she needs to go:

\frac{2100}{60}=35 times

She needs to go 35 times

GrogVix [38]3 years ago
5 0

Answer:

35 times

Step-by-step explanation:

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Lila flies a drone in the direction of 90° towards Avery. Once she gets to Avery she changes course and flies in the direction o
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Answer:

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Step-by-step explanation:

Let the distance between Lila and Mark be x.

Let the distance between Avery and lila be A= 20

Let the distance between Avery and Mark be B= 30

Angle x = 200-180=20°

To solve this question we will use the cosine formula which is

X² = A²+ B² -2ABcosx

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Read 2 more answers
Some of the students three scores is 231. If the first is 20 points more than the second, and the sum of the first two is 6 more
Aleks [24]

Answer:

The first score is 109

Step-by-step explanation:

I am assuming that in the first sentence of the question, you meant:

Sum of the students three scores is 231...

First, let the scores of the first second and third student be a, b and c respectively. We are told that:

a + b + c = 231 . . . . . . . .(1)         (sum of students three scores is 231)

a = b + 20 . . . . . . . . . . . (2)        (the first is 20 points more than the second)

a + b = 6c . . . . . . . . . . . .(3)        (sum of the first two is 6 more times the third)

required, find a.

substituting the value of (a + b) in equation (3) into equation (1), we will have the following:

since a + b = 6c . . . (3)

a + b + c = 231 . . . . . (1), becomes,

(a + b) + c = 231

(6c)  + c = 231

7c = 231 (divide both sides by 7)

c = 231 ÷ 7 = 33

∴ c = 33

Next, from equation (2), we know that a = b + 20; this can also be written as:

a - 20 = b

∴ b = a - 20 . . . . . . . (4)

Finally, putting the value of b in equation (4) and the value of c calculated above into equation 1, ( a + b + c = 231), we have the following:

a + (a - 20) + 33 = 231

(a + a) - 20 + 33 = 231

2a + 13 = 231

2a = 231 - 13 = 218

a = 218 ÷ 2 = 109

∴ a = 109

we can also calculate for 'b' by substituting for the value of 'a' in equation 4

b = a - 20 = 109 - 20 = 89.

and to test if the values of a, b and c are correct:

a + b + c = 231

109 + 89 + 33 = 231

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triangle TUV is congruent to triangle TBA

by SAS congruency

hope it helps...!!!!

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