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4 years ago

Find the numerator for the equivalent fraction. 4/9 = ? / 63 11 4 28 9

Mathematics

2 answers:

Anarel [89]4 years ago

8 0

Because 28 is divisible by 4 ( because 28÷4=7), we have 4/9 = 28/63;
The correct answer is 28.

Serhud [2]4 years ago

6 0

Answer:

Step-by-step explanation:

Given is a fraction with numerator 4 and denominator 9

Fraction = $\frac{4}{9}$

We have to find an equivalent fraction for this whose denominator is 63.

We have in Mathematics, all equivalent fractions will have the same value.

Hence if denominator is x,

$\frac{x}{63}$ will have same value as $\frac{4}{9}$

i.e

$\frac{4}{9}=\frac{x}{63}$

Cross multiply to solve for x

$9x=63(4)\\x =7(4) =28$

Hence answer is 28.

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Use a truth table to show that P Qand (~PV Q) A (~QV P) are equivalen

kati45 [8]

Answer: The given logical equivalence is proved below.

Step-by-step explanation: We are given to use truth tables to show the following logical equivalence :

P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)

We know that

two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.

The truth table is as follows :

P Q ∼P ∼Q P⇔ Q ∼P ∨ Q ∼Q ∨ P (∼P ∨ Q)∧(∼Q ∨ P)

T T F F T T T T

T F F T F F T F

F T T F F T F F

F F T T T T T T

Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.

Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).

8 0

4 years ago

Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S

mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

Volume of a cylinder

$\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 1.5 cm
h = 0.25 cm

Substituting given values into the formula to find the volume:

$\sf \implies V=\pi (1.5)^2(0.25)$

$\sf \implies V=0.5625 \pi \:cm^3$

Find the density of the coin given it has a measured mass of 18.54 g

Density formula

$\sf \rho=\dfrac{m}{V}$

where:

$\rho$ = density
m = mass
V = volume

Given:

m = 18.54 g
$\sf V=0.5625 \pi \:cm^3$

Substituting given values into the density formula:

$\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}$

$\implies \sf \rho=10.49149385\:g\:cm^{-3}$

Given:

$\textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}$

$\textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}$

Therefore, as $\sf \rho=10.49\:g\:cm^{-3}$ the coin is made from silver.

4 0

2 years ago

What is the solution set for 6x−9=15, given the replacement set {0, 1, 2, 3, 4}?

vfiekz [6]

6x-9=15
6x=24
x=4
Therefore the answer is A.

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Step by step how to solve 4x+2=5(x+10)

Shalnov [3]

Answer:

x = -48

Step-by-step explanation:

4x + 2 = 5(x + 10)

expand the 5(x+10)

4x + 2 = 5x + 50

-2 both sides

4x + 2 - 2 = 5x + 50 - 2

simplify

4x = 5x + 48

-5x both sides

4x - 5x = 5x + 48 - 5x

simplify

-x = 48

÷ (-1) both sides

-x ÷ (-1) = 48 ÷ (-1)

simplify

x = -48

The answer is x = -48.

8 0

3 years ago

How do you do this? What’s the answer?

xxTIMURxx [149]

315 is the answer but i don't know what they mean by simplify

5 0

3 years ago