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Ira Lisetskai [31]
3 years ago
10

Expand and simplify 2(3x+4)-3(x-2)

Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0
2(3x + 4) -3(x-2)

6x + 8 -3x + 6

Answer: 3x + 14
Lemur [1.5K]3 years ago
6 0
Open brackets
6x+8-3x+6
collect like terms
3x+14 is the answer
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Find the surface area of the prism​
AfilCa [17]

Answer:

156 in^2

Step-by-step explanation:

find the areas of all the faces and add them up

area of a rectangle: bh

area of a trapezoid: \frac{1}{2} (b_1 + b_2)(h)

(5*3)+(6*3)+(5*3)+(3*12)+2(\frac{1}{2}*(6+12)*4) \\=15+18+15+36+2(\frac{1}{2}*18*4)\\=84+2(36)\\=156

the area of the trapezoid is multiplied by 2 because there's a top and bottom

4 0
2 years ago
Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketbal
sweet-ann [11.9K]

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Mean (\mu)= 70 inches

Standard deviation (\sigma)= 3 inches

Average basket ball player (\bar{X}) = 79 inches

Since it is normally distributed assume with 5% significance .

So, it becomes,

Z>\frac{\bar{X}-\mu}{\sigma}\\\\Z>\frac{79-70}{3}\\\\Z>\frac{9}{3}\\\\Z>3\\\\\therefore\ P(Z>3)=1-0.9987=0.0013

At 0.05 level of significance , 0.0013 = 0.13% of the adult male population is taller than the average basketball player .

Hence, First Option is correct.

5 0
3 years ago
Read 2 more answers
 Sandra sells necklaces at a school craft fair. She uses the equation P= 7.5n - (2.25n + 15) to determine her total profit at th
gregori [183]
The way you find profit is to subtract the revenue and the cost
Profit = Revenue - Cost
The revenue is the amount of money coming in, the cost is the amount of money going out. The goal of course is to have the revenue larger than the cost so that the profit is positive. 

So the equation given is
P = 7.5n - (2.25n+15)
and its in the form
P = R - C
where...
R = 7.5n is the revenue equation
C = 2.25n+15 is the cost equation

Focus on the revenue equation
R = 7.5n
which is the same as 
R = 7.50*n

This tells us that Sandra pulls in a total of 7.50*n dollars where n is some positive whole number. It represents the number of necklaces sold. For example, if she sold n = 10 necklaces, then
R = 7.50*n
R = 7.50*10
R = 750
meaning that Sandra has made $750 in revenue

As you can see above, the revenue is computed by multiplying the price per necklace ($7.50) by the number of necklaces sold (n) to get R = 7.50*n

So that's why the answer is $7.50

Note: The 2.25 is part of the cost equation. This is known as the variable cost. It is the cost to make one necklace ignoring the fixed cost (eg: rent). The variable cost often doesn't stay the same, but algebra textbooks often simplify this aspect. 
8 0
3 years ago
Each student in a group of 32 students was asked the following question.
Finger [1]

Answer:

.shsnxbjsjJsjsiakzjxjisksjxjs

7 0
3 years ago
What happens when you get a negative square root in the quadratic formula?
prisoha [69]
Edited : I apologise I misunderstood the question.

You can solve the equation.
7 0
3 years ago
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