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garri49 [273]
3 years ago
10

lyle bought 3/8 pound of red grapes and 5/12 pound of green grapes. how much pounds of grapes did he buy

Mathematics
2 answers:
professor190 [17]3 years ago
6 0
He bought 19/24 pounds of grapes.   

   3          5 
-------  + ------- = 0
   8         12

In adding fractions. 
Step 1: make sure the denominators are the same. 8 and 12 are not the same. But both are factors of 24. 

8 * 3 = 24
12 * 2 = 24

Multiply both numerator and denominator of 3/8 by 3 and 5/12 by 2.

 3 * 3                5 * 2           9         10         
---------      +    -------------  = -------- + --------- 
8 * 3                12 * 2         24        24        

Step 2. Since the denominator is now the same, add the numerator and put it over the denominator.

9 + 10       19          
---------- =   -------
   24          24

Step 3. Simplify the fraction.

19 
----
24   is already the simplified form.

Paha777 [63]3 years ago
6 0
3/8+5/12=19/24 This is already in its lowest term
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What is the growth factor associated with the following growth rate: 30% decrease
fenix001 [56]

Given:

Growth rate = 30% decrease

To find:

The growth factor associated with the given growth rate.

Solution:

The general exponential function is:

y=a(1+r)^x

y=a(b)^x

Where, a is the initial value, r is the growth rate in decimal and b=1+r is the growth factor.

It is given that the growth rate is 30% decrease. So,

r=-30\%

r=-\dfrac{30}{100}

r=-0.3

Now,

b=1+r

b=1+(-0.3)

b=1-0.3

b=0.7

Therefore, the growth factor is 0.7.

5 0
2 years ago
After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l
Alenkasestr [34]

Answer:

  d(t) = -20t -260

Step-by-step explanation:

We are given two points ...

  (t, d) = (3, -320) and (8, -420)

The 2-point form of the equation of a line can be useful when 2 points are given.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Substituting the given points, we have ...

  d(t) = (-420 -(-320))/(8 -3)(t -3) -320

  d(t) = -20(t -3) -320

  d(t) = -20t -260

5 0
3 years ago
Find the inverse of the function.<br> y=x2 + 4x + 4
adoni [48]

Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)

y = x² + 4x + 4  ⇒⇒⇒ factor the quadratic equation

y = (x+2)(x+2)

y = (x+2)²         ⇒⇒⇒ take the square root to both sides

√y = x+2

x = √y - 2         ⇒⇒⇒ x becomes a function of y

final step:

∴ y = √x - 2   ⇒⇒⇒ the inverse of the given function

So, as a conclusion:

f(x) = y = x² + 4x + 4  ⇒⇒⇒ the given function

f⁻¹(x) = y = √x - 2       ⇒⇒⇒ the inverse of the given function

7 0
3 years ago
In a large apartment building, 35 of the apartments have a balcony and 55 do not. An apartment us randomly selected as part of a
Vadim26 [7]

11/18 probability

90 apartments total

35/90=

11/18

4 0
3 years ago
Write 8 in the form 4n
kow [346]

N equals to 2 so 4 plus 2 is 6 and that is the answer!!


Glad I could help. Have A Good day

3 0
3 years ago
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