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Ray Of Light [21]
3 years ago
15

Solution.solve 4k÷9=12, findk​

Mathematics
2 answers:
Burka [1]3 years ago
8 0

Answer:

k = 27

Step-by-step explanation:

OlgaM077 [116]3 years ago
6 0
K=27

4/9k=12 , then multiply both side by 9/4
Answer K=27
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PLEASE HELP <br><br> I WILL BRAINLIEST !
jasenka [17]

Answer:

10 1/12

Step-by-step explanation:

In order to subtract fractions, you have to give them a common denominator.

18 1/2 can be rewritten as 18 6/12, as they are the same thing and 6/12 simplifies to 1/2. We make it 6/12 because we have to subtract it by 8 5/12, and the denominators are both 12.

So now we have 18 6/12 - 8 5/12, which gives us 10 1/12.

8 0
3 years ago
When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i
Westkost [7]

Answer:

(1) 256 inches

(2) 5 feet

(3) 400 inches

(4) 10 feet

Step-by-step explanation:

(1) The function that gives the height in inches of the spray of water at a distance <em>x</em> from the sprinkler head is given as follows;

h(x) = 160·x - 16·x²

At x = 2 feet, we have;

h(2) = 160 × 2 - 16 × 2² = 256

Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches

(2) The x-coordinate, x_{max}, of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;

x_{max} = -b/(2·a)

The x-coordinate, x_{max}, of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;

x_{max} = -160/(2 × (-16)) = 5

Therefore, the number of feet along the way, the function will reach maximum height, x_{max} = 5 feet

(3) The function, h(x) = 160·x - 16·x², will reach maximum height, h_{max}, at x = 5, therefore;

h_{max} =  h(5) = 160 × 5 - 16 × 5² = 400

The maximum height of the spray, h_{max} = 400 inches

(4) The water is at ground level where h(x) = 0, therefore;

At ground level, h(x) = 0 = 160·x - 16·x²

160·x - 16·x² = 0

∴ 16·x × (10 - x) = 0

By zero product rule, we 16·x = 0, or (10 - x)  = 0, from which we have;

x = 0, or x = 10

The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.

7 0
3 years ago
1. The county fair charges $1.50 per ticket for the rides. Jermaine bought 20 tickets for the rides and spent a total of $48.75
MAVERICK [17]

Answer: Our variable be z for fair admission and our required linear equation will be

\$1.50x+z=\$48.75

Explanation:

Since we have given that

Cost per ticket for the rides =$1.50

Total amount she spent = $48.75

Let the total cost be y

Let the number of ride tickets be x

<u>a) Define your variable:</u>

Let the amount spent on fair admission be z

<u>b) Write a linear equation that can be used to determine the cost for ride tickets and fair admission:</u>

Our required equation will be

\$1.50x+z=\$48.75

Here, number of ride tickets = 20

So,

20\times 1.50+z=48.75\\\\30+z=48.75\\\\z=48.75-30=18.75

So, the cost for fair admission = $18.75

7 0
3 years ago
1. Write the fraction 8/9 as a percent. Round to the nearest hundredth of a percent where necessary. A. 88.89% B. 1.13% C. 44.44
Nadusha1986 [10]

Answer:

1.A. 88.89

2.B.6.3%

3.C.64.92%

Step-by-step explanation:

1.\frac{8}{9}=0.8888

to covert it into percentage multiply it with 100

then it becomes 88.888

rounding off to the nearest hundred it becomes 88.89

2. to convert into percentage multiply it with 100

therefore 0.063×100=6.3%

3. to find percentage

    %= (no of students using mobile / total no of students )× 100

       = \frac{792}{1200}×100

       =64.918

Rounding off to nearest hundred it becomes 64.92%


8 0
3 years ago
Read 2 more answers
Frank has a 2-digit number on his baseball uniform. The number is a multiple of 10 and has 3 for one of its factors . What three
White raven [17]

Frank could have 30, 60 , 90 on his uniform

<em><u>Solution:</u></em>

Given that, Frank has a 2-digit number on his baseball uniform

The number is a multiple of 10 and has 3 for one of its factors

To find: Three numbers that Frank have on his uniform

Given that,

It's a multiple 10 and has 3 for one of its factors and its a 2-digit number

Let us first find the multiples of 10

<em><u>The two digit multiples of 10 are:</u></em>

{10, 20, 30, 40, 50, 60, 70, 80, 90}

From the above list, find the numbers which has 3 as one of its factors

Which means, find the numbers which are divisible by 3

The possible numbers = 30, 60, 90

Thus frank could have 30, 60 , 90 on his uniform

3 0
3 years ago
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