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3 years ago

What is the value of m in the equation 1/2m-3/4n=16, when n=8?

Mathematics

2 answers:

NemiM [27]3 years ago

4 0

Answer:

Step-by-step explanation:

1/2m-3/4n=16 , m when n=8

1/2m-3/4n=16

1/2m - 3/4(8) = 16

1/2m - (8 x 3)/4 = 16

1/2m - (24/4) = 16

1/2m - 6 = 16

1/2m = 16 + 6

1/2m = 22

m = 22 x 2

m = 44

Yakvenalex [24]3 years ago

4 0

1/2m-3/4(8)=16
1/2m-6=16
1/2m=22
m=44

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Answer:

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3 years ago

The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle?

Nana76 [90]

Answer:

375 in² is the answer.

Step-by-step explanation:

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2 years ago

Together, teammates Pedro and Ricky got 2678 base hits last season. Pedro had 280 more hits than Ricky. How many hits did each p

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3 years ago

The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During w

egoroff_w [7]

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

$\rm h(x) = 40x - 16x^2$

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

$h(x) = 15$

Substitute the value of h(x) in the equation,

$\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0$

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

$\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45$

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

brainly.com/question/17177510

7 0

2 years ago

Nora and her children went into a grocery store and she bought $11.95 worth of apples and bananas. Each apple cost $1.25 and eac

SIZIF [17.4K]

Answer: apples = 7 and bananas = 8

Step-by-step explanation:

Let x represent the number of apples and y represent the number of banana,

and it was said that the total apples and bananas altogether is 15 , that is

x + y = 15 ................. equation 1

Also,

1.25x + 0.40y = 11.95 ............. equation 2

Solving the two equations simultaneously ,

From the first equation, x = 15 - y ........... equation 3

substitute equation 3 into equation 2, we have

1.25(15 - y) + 0.40y = 11.95

18.75 - 1.25y + 0.40y = 11.95

18.75 - 0.85y = 11.95

18.75 - 11.95 = 0.85y

6.8 = 0.85y

therefore y = 6.8/0.85

= 8

substitute y = 8 , into equation 3

x = 15 - 8

x = 7

Therefore , she bought 7 apples and 8 banana

4 0

3 years ago