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klemol [59]
3 years ago
5

A farmer has a rectangle field with a perimeter of 5.4 miles and a length of 2.3 miles. Find the width of the field. The width o

f the rectangle with perimeter P in length L is given by W equals P -2/2
Mathematics
2 answers:
Alja [10]3 years ago
6 0

Answer:

Step-by-step explanation:

perimeter = 2*(length + width)

53 m = 2*(2.3 m +w) . . . . an equation to find the width, w

26.5 m = 2.3 m +w . . . . . divide by 2

24.2 m = w . . . . . . . . . . . subtract 2.3 m

The width of the rectangle is 24.2 m

hope it helps

Karolina [17]3 years ago
4 0

Answer:The width of the rectangle is 24.2 m

perimeter = 2*(length + width)

53 m = 2*(2.3 m +w) . . . . an equation to find the width, w

26.5 m = 2.3 m +w . . . . . divide by 2

24.2 m = w . . . . . . . . . . . subtract 2.3 m

The width of the rectangle is 24.2 m

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400 people are asked if they drink tea
Korvikt [17]

Answer:

56 people drink 3 cups daily

Step-by-step explanation:

What's the total number of people that drink 3 cups?

Total number of people = 400

7 / 10 were asked said yes

Number of people that said yes = (7 / 10) × 400 = 280

280 people drink tea.

20% of 280 people drink 3 cups daily, whats the number = ?

20% of 280 = ?

20 / 100 = x / 280

(20 × 280) = (100 × x)

5600 = 100x

X = 5600 / 100

X = 56 people

56 people drink 3 cups of tea daily.

5 0
3 years ago
Here is a sketch of a curve.
Ugo [173]

Answer:

The turning point of the graph is at (3,-16)

Step-by-step explanation:

The general equation of curve is given as:

y = x² + ax + b

The two point for which the equation satisfies is (0,-7) and (7,0).

Substitute (0,-7) in the general equation:

y = x² + ax + b

-7 = 0² + a(0) + b

b = -7

Substitute (7,0) in the general equation:

y = x² + ax + b

0 = 7² + 7a + b

Where b = -7

0 = 49 + 7a - 7

0 = 42 + 7a

a = -6

The equation of the curve is:

a = -6 and b = -7

y = x² + ax + b

y = x² - 6x - 7

Graph of the equation is attached below.

We can see that the the turning point of the graph is at (3,-16)

5 0
3 years ago
What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:
Gekata [30.6K]

Answer:

B. 13

Explanation:

\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )

Logarithm rules:

\sf (i)  \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \  log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)

Breakdown of the expression:

\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)

\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)

\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)

insert given values

\rightarrow \sf 2(3)+3(2)-(-1)

\rightarrow \sf 13

7 0
2 years ago
Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d-6
kari74 [83]

Answer: -209

Step-by-step explanation:

Formula for arithmetic progression

= a + (n - 1)d

Since a10 = 1 and d = -6

a10 = a + 9d

a + 9(-6) = 1

a - 54 = 1

a = 1 + 54

a = 55

Therefore, 45th term = a + (n - 1)d

= a + (45 - 1)d

= a + 44d

= 55 + 44(-6)

= 55 - 264

= -209

4 0
3 years ago
What is the mean absolute deviation (MAD) of the data set?<br><br> {5, 9, 9, 11, 16}
Lerok [7]
2.8. The mean of the problem was 10. After subtracting each number by 10 I added the absolute value of each difference. I divided that sum by 5 and got 2.8
3 0
3 years ago
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