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Elden [556K]
3 years ago
14

Jeremiah has a batting average of 0.312 this baseball season. Express his average as a fraction in lowest terms.

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

39/125

Step-by-step explanation:

0.312 goes to the thousandths place which is 1/1000 you'd replace 1 with 312

which means its 312/1000 which simplifies to 39/125

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A pound of chocolate costs 6 dollars. Diane buys P pounds. Write an equation to represent the total cost c that Diane pays.
postnew [5]

Answer:

C=6P

Step-by-step explanation:

Because the cost (c) depends on the pounds (p), we have to multiple the weight by 6, because it is $6 per pound.

7 0
3 years ago
Please answer asap will give the highest points possible
natali 33 [55]
Let cheese wafers = x
chocolate wafers = y

we know they bought 20 total packets so x+y = 20, this can be re-written as x = 20-y

cheese wafers cost 2, so we have 2x
chocolate wafers cost 1, so we have 1y, which is just the letter y

so we know 2x + y = $25

replace x with x=20-y to get:

2(20-y)+y = 25

distribute the parenthesis:

40-2y +y = 25

combine like to terms to get:
40-y = 25

subtract 40 from each side"
-y = -15

divide both sides by -1
y = 15

chocolate wafers was y so they bought 15 chocolate wafers
cheese wafers was x, so they bought 20-15 = 5 cheese wafers
 
using the substitution method was the easiest way to isolate one of the variables in order to find the solution.



6 0
3 years ago
Read 2 more answers
What is p=6-2q, p=1+q, how do I use on graph
Novosadov [1.4K]
1] ⬇
p - (6 - 2(q))➡0
p + 2q - 6➡0
q = 3 because 6÷2 = 0
p = 6 because 6 ÷ 1 = 6
Slope ➡ 0.5
-----------------------------------------------------------------
2] ⬇
p - (1 + q)➡0
p - q- 1➡0
Q = -1 because 1 ÷ -1 ='-1
P = 1 because 1 ÷ 1 = 1
Slope ➡ 1
4 0
3 years ago
You want to save $500 for a school trip. You begin by saving a penny on the first day. You save an additional penny each day aft
irga5000 [103]

Answer:

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 1 penny = 1/100 = $0.01

d = 0.01

a) For 100 days, the sum of the first 100 terms, S100 would be

S100 = 100/2[2 × 0.01 + (100 - 1)0.01]

S100 = 50[0.02 + 0.99)

S100 = 50 × 1.01 = $50.5

b) when Sn = $500, then

500 = n/2[2 × 0.01 + (n - 1)0.01]

Multiplying through by 2, it becomes

500 × 2 = n[2 × 0.01 + (n - 1)0.01]

1000 = n[0.02 + 0.01n - 0.01]

1000 = n[0.01 + 0.01n]

1000 = 0.01n + 0.01n²

0.01n² + 0.01n - 1000 = 0

Applying the general formula for quadratic equations,

x = [-b±√(b² - 4ac)]/2a

n = - 0.01±√0.01²-4(0.01 × - 1000)]/2 × 0.01

n = (- 0.01 ± √40.001)/0.02

n = (- 0.01 + 6.32)/0.02 or

n = (- 0.01 - 6.32)/0.02

n = 315.5 or n = - 316.5

Since n cannot be negative, then n = 315.5

It will take approximately 316 days to save $500

6 0
3 years ago
Find the area of a circle, in terms of pi, if the radius is 20 ft.
arlik [135]
Area of circle= π·r² so, π·20²= π·400≡ 1256.637061
8 0
3 years ago
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