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3 years ago

Pavel and Katie share some sweets in the ratio 3: 8.

Mathematics

1 answer:

AlexFokin [52]3 years ago

5 0

Answer:

Step-by-step explanation:

Katie gets 32/8 = 4 lots of sweets

Pavel gets 4 lots x 3 = 12 sweets

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Kazeer [188]

Answer:

It is 42=x

Step-by-step explanation:

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3 years ago

What is the volume olf the basketball the diameter is 9.5 round to mearest whole nu!mber<br>

Novosadov [1.4K]

Answer:

143π in³

Step-by-step explanation:

A basketball has the shape of a sphere

Volume of a basketball = 4/3πr³

Diameter = 9.5 in

Radius = diameter/2

= 9.5/2

= 4.75 in

Volume of a basketball = 4/3πr³

= 4/3 * π * 4.75³

= 4/3 * π * 107.17

= (4*π*107.17) / 3

= 428.68π / 3

= 142.89π in³

Approximately

143π in³ to the nearest whole number

3 0

3 years ago

36 chemical elements, 2 are named for women scientist, and 25 are named for places. What fraction of these 36 elements are named

Mice21 [21]

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

7 0

3 years ago

Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

3 years ago

Solve for y thank you

Semenov [28]

Answer: y = 1

Step-by-step explanation:

9x + (3 x 1) = 12

4 0

3 years ago