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Anna71 [15]
3 years ago
15

to rent a building for a school dance ava paid $120 plus $2.50 for each student who attended. If she paid a total cost of $325 h

ow many students attended the dance
Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

82 students

Step-by-step explanation:

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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that co
White raven [17]

Answer:

The value of x would be \frac{3}{5}y or \frac{3}{8}z

Step-by-step explanation:

Given,

x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain  5% gravel mixture,

Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,          

⇒ 0.1x + 0.02y = 0.05(x+y),

0.1x - 0.05x = 0.05y - 0.02y

0.05x = 0.03y

\implies x = \frac{0.03}{0.05}y=\frac{3}{5}y----(1)

Now, resultant mixture is z ton,

i.e. z=x+y

\implies y = z - x

From equation (1),

x=\frac{3}{5}(z-x) = \frac{3}{5}z-\frac{3}{5}x

x+\frac{3}{5}x=\frac{3}{5}z

\frac{8}{5}x=\frac{3}{5}z

x=\frac{3}{8}z

3 0
3 years ago
Write the expression as a single term.<br> 3ln(x+2) - ln(x - 1)
Dafna1 [17]

Answer:

ln  [(x + 2)^3 ]/(x-1)

Step-by-step explanation:

3ln(x+2) - ln(x - 1) =  ln (x + 2)^3  -  ln (x-1)

ln (x + 2)^3  -  ln (x-1) =  ln  [(x + 2)^3 ]/(x-1)

7 0
3 years ago
Factor x^2 + 12x + 36
larisa [96]

Answer:

(x + 6 )(x + 6 )

2 numbers to add to 12 but also multiply to get 36

8 0
3 years ago
Read 2 more answers
Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare
Tresset [83]
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
3 years ago
How to find area of a rectangular shape
Ostrovityanka [42]

Answer:

You multiply the length and the width to get the area.

Step-by-step explanation: For example if the length was 5 and the width was four the answer would be 20 because 5x4=20

3 0
3 years ago
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