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2 years ago

Find the value of k, represented as a decimal rounded to the nearest tenth. 5/7 = 12/k

Mathematics

2 answers:

d1i1m1o1n [39]2 years ago

8 0

Answer:

We conclude that the value of k represented as a decimal rounded to the nearest tenth is: $k = 16.8$

Step-by-step explanation:

Given the expression

$\frac{5}{7}=\frac{12}{k}$

We need to determine the value of k, represented as a decimal rounded to the nearest tenth.

Let us solve the expression

$\frac{5}{7}=\frac{12}{k}$

Apply cross-function multiply: if $\frac{a}{b}=\frac{c}{d}$ then $a\cdot \:d=b\cdot \:c$

$5k=7\cdot \:12$

$5k=84$ ∵ 7 · 12= 84

Divide both sides by 5

$\frac{5k}{5}=\frac{84}{5}$

Simplify

$k=\frac{84}{5}$

$k = 16.8$ (Rounded to the nearest 0.1 or the Tenths Place)

Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is: $k = 16.8$

GrogVix [38]2 years ago

4 0

5/7 = 12/7
k= 16.8 .....

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xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

4 0

3 years ago

A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the ci

KATRIN_1 [288]

Answer:

I. Circumference of circular flower bed = 31.42 ft.

II. Area of circular flower bed = 78.55 ft²

Step-by-step explanation:

Given the following data;

Diameter = 10 ft

Radius = diameter/2

Radius = 10/2

Radius, r = 5 ft

I. To find the circumference of the circular flower bed;

Circumference of circle = 2πr

Substituting into the formula, we have

Circumference of circular flower bed = 2*3.142*5

Circumference of circular flower bed = 31.42 ft

II. To find the area;

Area of circle = πr²

Substituting into the formula, we have;

Area of circular flower bed = 3.142*5²

Area of circular flower bed = 3.142*25

Area of circular flower bed = 78.55 ft²

8 0

3 years ago

What the answer is and how?

sladkih [1.3K]

Answer:

PerimeterFigure= pi*DIameter/2= 1.5*pi ft.

Step-by-step explanation:

The perimeter is the length of the figure, since we are dealing with an semi-circle, we can use the perimeter equation for a full circle and divide it by half.

Perimeter= 2pi*R= pi*Diameter.

Since Our figure is a semi circle, as we say earlier, we now will divide the above result by half.

PerimeterFigure= pi*DIameter/2= 1.5*pi ft.

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2 years ago

What is 42 equals 7k

elixir [45]

Answer:

$k=6$

Step-by-step explanation:

42 ÷ 7 = 6

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2 years ago

If 20 were added to each of the vlaues in a data set that originally had a standard deviation of 8, the standard deviation of th

Nitella [24]

Answer:

False (I assume it's a true/false question)

Step-by-step explanation:

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3 years ago