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frosja888 [35]
2 years ago
6

Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, s

he sold a total of 91 candles and made $572.
how many tall candles did she sell?

how many short candles did she sell?
Mathematics
1 answer:
snow_tiger [21]2 years ago
3 0

Answer:

tall candles = 39

Short candles = 52

Step-by-step explanation:

let tall candles be x

and short candles be y

No. Of candles sold = x + y =91

Money made from candles will be equal to = 8x + 5y = $572

These both are simultaneous linear equations.

x + y =91 ( multiply by 5)

5x + 5y = 455

8x + 5y = $572

Subtract them:

-3x = -117

x = -117/3

x = 39

put value of x in

x + y = 91

39 + y = 91

y = 91 - 39

y = 52

x shows tall candles so they are 39

y shows short candles so they are 52

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svetlana [45]

Answer:

g(h(x)) = [x + 3]^2 or x^2 + 6x + 9

Step-by-step explanation:

g[h(x)] signifies that h(x) is the input to g(x).

Writing out g(x) = x^2 and replacing "x" with [x + 3], we get:

g(h(x)) = [x + 3]^2 or x^2 + 6x + 9

8 0
2 years ago
Question 2 Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95
lianna [129]

Answer:

it will take 1.4 hours for the two trains to be 294 miles apart

Step-by-step explanation:

Let t be the time taken for each train

The westbound train travels at 95 miles per hour.

Speed of westbound train = 95

time = t

Distance = speed * time = 95 t

The eastbound train travels at 115 miles per hour

Speed of eastbound train = 115

time = t

Distance = speed * time = 115 t

both trains are 294 miles apart means the distance between both trains are 294 miles

So we add the distance of both trains and set it equal to 294

95t + 115t = 294

210 t =294

t = 1.4

So, it will take 1.4 hours for the two trains to be 294 miles apart

6 0
3 years ago
Suppose the average price of gasoline for a city in the United States follows a continuous uniform distribution with a lower bou
Novay_Z [31]

Answer:

P(X

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a} , a \leq X \leq b

And for this case we can write the probability like this:

P(X

And then the final answer for this case would be \frac{2}{3}=0.667

Step-by-step explanation:

For this case we define our random variable X "price of gasoline for a city in the USA" and we know the distribution is given by:

X \sim Unif (a=3.5, b=3.8)

And for this case the density function is given by:

f(x) = \frac{x}{b-a}= \frac{x}{3.8-3.5}=, 3.5 \leq X \leq 3.8

And we want to calculate the following probability:

P(X

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a} , a \leq X \leq b

And for this case we can write the probability like this:

P(X

And then the final answer for this case would be \frac{2}{3}=0.667

5 0
3 years ago
Eggs are boxed in a crate. Each crate has 485 eggs. How many eggs are there in 525 ?
jok3333 [9.3K]

Answer:

254,625

Step-by-step explanation:

6 0
3 years ago
The following is an account for a production department, showing its costs for one month:
deff fn [24]

Answer:

option (b)  $9,360

Step-by-step explanation:

Given:

Goods in Process Inventory

Balance = $6,300

Direct materials = $22,500

Direct labor = $17,100

Overhead = $11,700

The cost of units in ending goods in process inventory = $5,490

The cost of started and completed units = $42,750

Now,

The cost of total Goods in Process Inventory will be

= Balance + Direct materials + Direct labor + Overhead

= $6,300 + $22,500 + $17,100 + $11,700

= $57,600

also,

Cost of units to be transferred out

= cost of total Goods in Process Inventory - ( cost of units in ending goods in process inventory )

= $57,600 - $5,490

= $52,110

Thus,

Cost of Completed Goods in Beginning Inventory

= Cost of units to be transferred out - cost of started and completed units

= $52,110 - $42,750

= $9,360

Hence, the answer is option (b)  $9,360

6 0
3 years ago
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