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SashulF [63]
3 years ago
10

(5a +7b)b/(b+2b)=? 4a ,4ab , 2a+4b , 5a+7b/3 , 5a+5b

Mathematics
2 answers:
musickatia [10]3 years ago
6 0
The correct answer is:  [D]:  " \frac{5a + 7b}{3} " .
__________________________________________________
Explanation:
__________________________________________________
\frac{b(5a + 7b)}{b +2b} ; 

Simplify the "denominator" ;   →  (b + 2b = 1b + 2b = 3b) ; 

 and rewrite: 

\frac{b(5a + 7b)}{3b} ; 

Cancel out the "b" in the "numerator" to a "1" ; 
              and cancel the "3b" in the "denominator to a "3" ; 

{since:  "b ÷ b = 1 ";  and since:  "3b ÷ b = 3" } ;

and rewrite as:
____________________________________________________
            \frac{5a + 7b}{3} ; 
____________________________________________________

   →  which is:  Answer choice:  [D]:  "  \frac{5a + 7b}{3} " .
____________________________________________________
avanturin [10]3 years ago
6 0

Answer:

d

Step-by-step explanation:

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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
NeTakaya

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

6 0
3 years ago
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3 years ago
Which is a prime number 14,13,21,33
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3 years ago
What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

Answer:

y = \frac{1}{2}x - 8

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

Substitute in the slope,

y = \frac{1}{2}x + b

Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

3. Putting it all together,

Now, that one has y-intercept, (-8); use the given slope and the formula y = mx + b,  substitute in all the information.

y = \frac{1}{2}x - 8

7 0
3 years ago
I NEED ASAP:<br> What is the value of x?
Vitek1552 [10]

Answer:

x=48

Step-by-step explanation:

10x-20+6x+8=180 set the equations together and to equal 180 since a line is 180 degrees

Get the variables together

10x-20+6x+8=180

-6x       -6x

4x-20+8=180

add together -20 and 8

4x-12=180

add -12 on each side

4x-12=180

   +12  +12

4x=192

divide all by 4

x=48

6 0
3 years ago
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