MATHEMATICS MIDDLE SCHOOL

Solve for b2 in A = 1/2 h ( b1 + b2 ), if A = 16, h = 4, and b1 = 3.

Answers

Answer 1
Answer:

Hello from MrBillDoesMath!

Answer:

b2 = 5  


Discussion:

A = 1/2 h (b1 + b2).

Substituting A = 16, h = 4, and b1=3 in the above formula gives:

16 = (1/2) (4)( 3 + b2)    =>         (as (1/2)4 = 2) )

16 = 2 ( 3 + b2)             =>         (divide both sides by 2)

8 = (3 + b2)                   =>         (subtract 3 from both sides)

8-3  = b2                       =>

5     =  b2


Check Area formula:

Does A = 16 = (1/2)(4)(3+5)   ?

Does 16 = (1/2) (4)(8)             ?

Does 16 = (1/2)(32)                ?  Yes it does so our calculation for b2 is correct




Thank you,

MrB
Answer 2
Answer:

Final answer:

To solve for b2, substitute the given values (A = 16, h = 4, and b1 = 3) into the equation and solve for b2. The value of b2 is 5.

Explanation:

To solve for b2 in the equation A = 1/2 h (b1 + b2), where A = 16, h = 4, and b1 = 3, we can substitute the given values into the equation and solve for b2.

A = 1/2 * 4 * (3 + b2)

16 = 2 * (3 + b2)

16 = 6 + 2b2

10 = 2b2

b2 = 10/2

b2 = 5

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Answers

To solve this I am going to create three equations for what each person bought.
a will represent apples, b will represent berries, and c will represent cherries.

34 = 2a + 1b + 4c
35 = 3a + 2b + 2c
49 = 5a + 3b + 2c

Solve for on variable in the first equation.

b = 34 - 2a - 4c

Plug that into the second equation and solve for a different variable.

35 = 3a + 2(34 - 2a - 4c) + 2c
35 = 3a + 68 - 4a - 8c + 2c
35 = -a + 68 - 6c
-33 = -a - 6c
33 = a +6c
a = 33 - 6c

It gets a little confusing here but you plug in what both a and b are equal to until you have solved for c.

49 = 5a + 3b + 2c
49 = 5(33 - 6c) + 3b + 2c               substitute a with 33 - 6c
49 = 165 - 30c + 3b +2c
49 = 165 - 28c + 3b
-116 = -28c + 3(34 - 2a - 4c)               substitute b with 34 - 2a - 4c
-116 = -28c + 102 - 6a - 12c
-116 = -40c + 102 - 6(33 - 6c)               again substitute a with 33 - 6c
-116 = -40c + 102 - 198 + 36c
-116 = -4c - 96
-20 = -4c
4c = 20
c = 5

a = 33 - 6c
a = 33 - 6(5)
a = 33 - 30
a = 3

b = 34 - 2a - 4c
b = 34 - 2(3) - 4(5)
b = 34 - 6 - 20
b = 8

Apples cost $3 per pound
Berries cost $8 per pound
Cherries cost $5 per pound

What is the volume of the prism the units are 7m 24m and 21m

Answers

Answer:

3528 m^3

Step-by-step explanation:

You do this by multiplying the three values together in the standard volume equation L*W*H. So then 7*21*24 = 3528

Answer:

3528^m3

Step-by-step explanation:

ILL GIVE BRAINIEST ON WHOEVER GETS IT RIGHT

Answers

Answer:

should just be 30°

Step-by-step explanation:

so think about how a clock work (in direction) once you got that, also know that it moves at 30 degrees increments. another thing to know is that this ' sign basicly means after it is moved in angle degrees if that makes it easier to imderstand

Answer:

30 degrees is your correct answer.

Step-by-step explanation:

Evaluate tan-1(tan (15)

Answers

Answer:

1.33313073483

Step-by-step explanation:

margos grade average in math 92. Then for seven month her average dropped an average of five-eighths of a point per month. write a rational number expression involving addition that you can evaluate to find her average at the end of seven months. what was her final average.

Answers

it is probably around 50 or close to that

Final answer:

To find Margos's average at the end of seven months, subtract the average drop in points per month from her initial grade average.

Explanation:

To find Margos's average at the end of seven months, we need to subtract the average drop in points per month from her initial grade average. Since her average dropped by an average of five-eighths of a point per month, we can write this as a rational number expression: 92 - (5/8 * 7). To evaluate this expression, we first multiply 5/8 * 7 = 35/8. Then we subtract this from 92: 92 - 35/8. To subtract these fractions, we need a common denominator: 92/1 - 35/8 = 736/8 - 35/8 = (736 - 35)/8 = 701/8.

So Margos's final average after seven months is 701/8 or 87.625.

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You can buy 8 apples at the Quick market for 1.45.You can buy 6 of the same apples at stop and save for 1.22.Which place is the better buy?

Answers

8 apples is the answer
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