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3 years ago

Find the unknown: 4:2:3 = x : 18: 27

Mathematics

2 answers:

andrew11 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

note that 3 parts of the ratio represents 27, hence

27 ÷ 3 = 9 ← value of 1 part of the ratio

Hence

x = 9 × 4 = 36

matrenka [14]3 years ago

3 0

Answer:

x=36

4 : 2 : 3 = x : 18 :27

=> 36:18:27

Step-by-step explanation:

4 : 2 : 3 = x : 18 :27

We have to find the value of x.

In ratios, all the numbers must be divided by the same number

from the expression above we can identify that:

2*9 = 18

3*9 = 27

we see that right side of equation is achieved by multiplying each value of left side by nine

so, 4*9 =36

i.e x=36.

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Part c

ehidna [41]

The probability that the first slice of the cake will have the marble exists

7/66.

<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $$V=\pi(\frac{d}{2} )^{2} h \\$

$$&V=\pi(\frac{9}{2} )^{2} * 4$

$$V=81 \pi$

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$$P=\frac{27}{81 \pi}$

$$P=\frac{1}{3 \pi}$

Expand $\pi$

$$&P=\frac{7}{3 * 22} \\$

$$&P=\frac{7}{66}$

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

brainly.com/question/24756209

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2 years ago

Someone give me the answers to this

strojnjashka [21]

Range: the set of all y-values of a graph or equation.

Y-intercept: the y-value where the graph intersects the y-axis.

Domain: the set of all x-values of a graph or equation.

X-intercept: the x-values where the graph intersects the x-axis.

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6 0

3 years ago

Read 2 more answers

HELPPP FAST LIKE 4 minutes left

Levart [38]

Answer: A. 40

Step-by-step explanation:

3 0

2 years ago

Solve this x²+8/10 -x = 10/2

AysviL [449]

$x^2+\frac{8}{10}-x=\frac{10}{2}\\
x^2-x+\frac{8}{10}-\frac{10}{2}=0\\
x^2-x+\frac{8}{10}-\frac{50}{10}=0\\
x^2-x-\frac{42}{10}=0\\
x^2-x+\frac{1}{4}-\frac{1}{4}-\frac{42}{10}=0\\
(x-\frac{1}{2})^2=\frac{1}{4}+\frac{42}{10}\\
(x-\frac{1}{2})^2=\frac{5}{20}+\frac{84}{20}\\
(x-\frac{1}{2})^2=\frac{89}{20}\\
x-\frac{1}{2}=\sqrt{\frac{89}{20}} \vee x-\frac{1}{2}=-\sqrt{\frac{89}{20}}\\
x=\frac{1}{2}+\frac{\sqrt{89}}{\sqrt{20}} \vee x=\frac{1}{2}-\frac{\sqrt{89}}{\sqrt{20}}\\


$
$x=\frac{1}{2}+\frac{\sqrt{89}}{2\sqrt{5}} \vee x=\frac{1}{2}-\frac{\sqrt{89}}{2\sqrt5}}\\
x=\frac{1}{2}+\frac{\sqrt{445}}{10} \vee x=\frac{1}{2}-\frac{\sqrt{445}}{10}}\\
x=\frac{5+\sqrt{445}}{10} \vee x=\frac{5-\sqrt{445}}{10}}\\$

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3 years ago

3 (2x-4)=2 (x+4) solve the following problem

ratelena [41]

3(2x-4)=2(x+4)
6x-12=2x+8
6x-2x=8+12
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x=5

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3 years ago

Read 2 more answers

Find the unknown: 4:2:3 = x : 18: 27​

Find the unknown: 4:2:3 = x : 18: 27