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andrew-mc [135]
4 years ago
8

Simplify the complex fraction. 8/5 divide by 6 3/4 *

Mathematics
1 answer:
hichkok12 [17]4 years ago
4 0

Step-by-step explanation:

\frac{8}{5}÷6\frac{3}{4}

First, simplify the 6\frac{3}{4} to an improper fraction, which is:

\frac{27}{4}

Next rewrite the equation using the improper fraction:

\frac{8}{5}÷\frac{27}{4}

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase <em>Copy Dot Flip - </em>Copy the first fraction, put a dot for multiplication, and flip the second fraction.

\frac{8}{5}·\frac{4}{27}

Finally, multiply together and simplify/reduce if needed:

<u>The final answer is </u>\frac{32}{135}<u> and no simplification or reduction is needed</u>

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At a grocery store to gallons of milk cost $7.20 and 5 gallons of milk cost $18 write an equation relates the total cost T to th
Gnom [1K]

Answer:

$7.20 + (5 x $18) = T

Step-by-step explanation:

7 0
3 years ago
Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)
UNO [17]
Our equation is y = 6x - 5 when simplified. In order to be parallel, the equation for the answer must also have a slope of 6x. This rules out options C and D.

Now just plug in 4 for the x-value for each one to get your answer. A little mental math and I can already tell you it's option A.

6(4) - 14 = y
24 - 14 = y
10 = y

10 = 10

Whereas for option B:

6(4) + 14 = y
24 + 14 = y
38 = y

38 ≠ 10

Option A is your answer. 




5 0
3 years ago
Is there an x intercept in the equation 60*1.15^x
Natali [406]

Answer:

No

Step-by-step explanation:

The equation 60*1.15^x is an exponential function. Exponential functions do not cross the x-axis unless they have been shifted down through subtraction in the function. All exponential functions have asymptotes that the function approaches but never crosses or touches. This function has an asymptote at the x-axis.

7 0
4 years ago
Paula has a dog that weighs 3 times as much as Carla's dog. The total weight of the dogs is 80 pounds. How much does Paula's dog
Vedmedyk [2.9K]

Answer:

60 lb

Step-by-step explanation:

Represent the weights of the dogs by P and C. Then P = 3C.

Then P + C = 80, or, after substitution of 3C for P,

3C + C = 80, or

4C = 20, so that C = (20 pounds)

Paula's dog weighs 3 times as much as Carla's:  P = 3(20 lb) = 60 lb

4 0
3 years ago
How is the parent function y=x2 related to the given function Y=3(x+1)2?
Nuetrik [128]
Parent function: y = f(x) = x^2

given function: y = g(x) = 3 (x+1)^2

=> g(x) = 3 * f(x + 1)^2

So, from the point of view of graphs, the given function, g(x), is the parent function, f(x) = x^2, shifted one unit to the left and amplified by a factor of 3.


6 0
4 years ago
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