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andriy [413]
3 years ago
6

Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. T

he total points the three friends received was 208. How many points did Doug score on the test?
Mathematics
2 answers:
lakkis [162]3 years ago
7 0
Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends

(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12 
4D = 196   - divide both sides by 4
D=49
Therefore, Doug scored 49

mafiozo [28]3 years ago
7 0
The equation is provided below:

x = Doug's points
12 + x = Amy's score
2x = Ginger's score
208 = total points of Doug, Amy and Ginger.

x + ( 12 + x ) + 2x = 208
x + 12 + x + 2x = 208
x + x + 2x = 208 - 12
4x = 196
4x / 4 = 196 / 4
x = 49 (Doug's Score)

Amy's Score:
12 + ( 49 ) = 61

Ginger's Score:
2 * ( 49 ) = 98


49 (Doug's) + 61 (Amy's) + 98 (Ginger's) = 208.

The correct answer for Doug's score is 49.

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72
Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

OR

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0
2 years ago
six friends are going to the state fair.The cost of one admission is $9.50, and the cost for one ride on the Ferris wheel is $1.
larisa86 [58]

We are given

total number of friends =6

the cost of one admission is $9.50

now, we can find total cost for admission

total cost for admission= total number of friends*cost of one admission

total cost for admission=6*9.50

we are given

cost for one ride on the Ferris wheel is $1.50

now, we can find total cost for Ferris wheel ride

total cost for Ferris wheel ride= total number of friends*cost of one ride

total cost for Ferris wheel ride=6*1.50

now, we can find total cost

total cost =total cost for admission+total cost for Ferris wheel ride

total cost=6*9.50+6*1.50

now, we can solve it

total cost=6(9.50+1.50)

total cost=6*11

total cost=66

so, the total cost is $66...........Answer


3 0
3 years ago
Problema 3
Serjik [45]

espero y te ayude, cualquier cosa escríbeme

4 0
2 years ago
HELP PLEASE
viktelen [127]
The answer is 3/9 or 1/3 chance of selecting a pair of white socks
4 0
3 years ago
Read 2 more answers
Anoosha tries to calculate 7% of 1250.
AlekseyPX

Answer:

87.5

Step-by-step explanation:

Anoosha multiplied 0.7 times 1250 incorrectly kinda daft from Anoosha tbf

4 0
2 years ago
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