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2 years ago

20 POINTS!!!

Mathematics

2 answers:

lana [24]2 years ago

8 0

Answer:

C = 963/92

Step-by-step explanation:

Given :

A ∝ B
A ∝ 1/C

Finding the constant of variation, k

A = kB/C
6 = k(10)/(15) [Given in 1st part of question]
6 = 2k/3
2k = 18
k = 9

Finding C

Using the same equation, and new values of A and B, we can find C
A = kB/C
C = kB/A
C = 9 x 107 / 92
C = 963/92

Crank2 years ago

3 0

Answer:

C = $\frac{963}{92}$

Step-by-step explanation:

given A varies directly as B and inversely as C then the equation relating them is

A = $\frac{kB}{C}$ ← k is the constant of variation

to find k use the condition A = 6 , B = 10 , C = 15 , then

6 = $\frac{x10k}{15}$ ( multiply both sides by 15 )

90 = 10k ( divide both sides by 10 )

9 = k

A = $\frac{9B}{C}$ ← equation of variation

when A = 92 and B = 107 , then

92 = $\frac{9(107)}{C}$ ( multiply both sides by C )

92C = 963 ( divide both sides by 92 )

C = $\frac{963}{92}$

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1.What is the slope of (0,2) and (-8,-8). What is the slope of (-8,-5) and (8,15)

ss7ja [257]

Answer:

Slope of (0,2) and (-8,-8): 5/4

Slope of (-8,-5) and (8,15): 5/4

Both slopes are 5/4

m = 5/4

Step-by-step explanation:

To find the slope:

1. Use the formula $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

2. Assign point 1 and point 2

3. State (x₁ , y₁) and (x₂, y₂)

4. Substitute x₁ , y₁, x₂, and y₂ into the formula

5. Solve

Slope of (0,2) and (-8,-8):

Point 1: (0,2) x₁ = 0 y₁ = 2

Point 2: (-8,-8) x₂ = -8 y₂ = -8

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Formula for slope

$m = \frac{-8-2}{-8-0}$ Substituted points

$m = \frac{-10}{-8}$ Simplified the subtraction then the negatives

$m = \frac{10}{8}$ Reduce fraction by dividing top and bottom by 2

$m = \frac{5}{4}$ First slope

Slope of (-8,-5) and (8,15):

Point 1: (-8,-5) x₁ = -8 y₁ = -5

Point 2: (8,15) x₂ = 8 y₂ = 15

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Formula for slope

$m = \frac{15-(-5)}{8-(-8)}$ Substituted points

$m = \frac{15+5}{8+8}$ Simplified the subtraction into addition

$m = \frac{20}{16}$ Reduce fraction (divide top and bottom by 4)

$m = \frac{5}{4}$ Second slope

3 0

3 years ago

What is the 46th term in the arithmetic sequence? 7,11.5,16,20.5,25,....

Basile [38]

In this sequence a=7
d=11.5-7=4.5
So 46th term = a+45d
=7+45(4.5)
=7+202.5
=209.5

8 0

3 years ago

Tara has a balance of -$25.36 in her checking account. Tara takes a deposit to the bank in the amount of $25.36.

polet [3.4K]

Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

Given:

Before the deposit, her bank account balance is -25.36.
She has deposited $25.36 into her bank account.

Solve:

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

3 0

3 years ago

Max z = 3x1 + 5x2 subject to: 7x1 + 12x2 ≤ 136 3x1 + 5x2 ≤ 36 x1, x2 ≥ 0 and integer find the optimal solution. what is the valu

Reptile [31]

The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36

There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)

The value of the objective function there is (obviously) 36.

4 0

4 years ago

Write in the from Y=mx+b I will give brainiest to the correct answer!

poizon [28]

Answer:

y = 50x+25

Step-by-step explanation:

We have two points on the line

( 0,25) which is also the y intercept ( b)

and (2,125)

We need to find the slope (m)

m = ( y2-y1)/(x2-x1)

= ( 125-25)/( 2-0)

= 100/2

=50

We know the y intercept = 25

y = 50x+25

3 0

3 years ago