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2 years ago

What is the value of the expression 4x-y/2y+z when x=3 and y=3

Mathematics

1 answer:

dimaraw [331]2 years ago

4 0

Answer:

14.5

Step-by-step explanation:

When solving this we need to use the substitution method. So let's substitute 3 for x and 3 for y.

4x - y / 2y + x

4 ( 3 ) - 3 / 2 (3) + 3

12 - 3 / 6 + 3

Using the method PEMDAS we know to solve the parenthesis first.

12 - 3 / 2(3) + 3

12 - 3 / 6 + 3

Using the method again we know to divide before we add or subtract,

12 - 3 / 6 + 3

12 - 0.5 + 3

Then we subtract

12 - 0.5 = 11.5

Lastly, we add the remaining numbers

11.5 + 3 = 14.5

Hope this helps :)

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Write a 3-digit number that is divisible by both 3 and 4. Explain how you know this number is divisible by 3 and 4.

Alexeev081 [22]

Answer:

let us assume the 3 digit number be 984

To check weather the number is divisible by 3 and 4 then when should know the divisibility rule of 3 and 4.

A number is said to be divisible by 3 when the sum of each digit of the number is divisible by 3. Example 9+8+4 = 21 is divisible by 3 hence the number is divisible by 3.

A number is said to be divisible by 4 when the last two digit is divisible by 4 like 84 is divisible by 4 hence 984 is divisible by 4.

5 0

3 years ago

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This one is a doozy for me, need help please

Maksim231197 [3]

Answer:

The correct answer is B

Step-by-step explanation:

Kinda complicated to explain, if you need me to then comment and I'll do it

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2 years ago

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Write the ordered pair that represents MP. Then find the magnitude of MP.

jarptica [38.1K]

Answer:

(23,-4): $\sqrt{545}$ units

Step-by-step explanation:

We are given that M(-19,4)and P(4,0)

We have to find the ordered pair that represents MP and find the magnitude of MP.

MP=P-M

MP=(4,0)-(-19,4)=(4+19,0-4)

MP=(23,-4)

Magnitude of MP= $\sqrt{(23)^2+(-4)^2}$

Magnitude of MP= $\sqrt{529+16}$

Magnitude of MP= $\sqrt{545}$ units

Hence, .option c is true.

Answer:c.(23,-4): $\sqrt{545}$ units

5 0

2 years ago

Rationalize the denominator !!!

satela [25.4K]

Answer:

$\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\$

$1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}$

$\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13$

$= \frac{4+\sqrt{3}}{13}$

x = 4

y = 3

z = 13

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1 year ago

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What is the mass (in grams) of 8.11×1026 CO2 molecules?

Kobotan [32]

Answer:

It is 59,275.74 grams

Step-by-step explanation:

• Molecular mass of carbon dioxide

$= (12 \times 1) + (16 \times 2) \\ = 12 + 32 \\ = 44 \: g$

[ molar masses: C = 12 g, O = 16 g ]

• From avogadro's number, it says 1 mole contains 6.02 × 10^23 molecules or atoms.

But 1 mole is equivalent to its molar mass in terms of weight, therefore;

${ \sf{6.02 \times {10}^{23} \: molecules = 44 \: g }}\\ { \sf{8.11 \times {10}^{26} \: molecules =( \frac{8.11 \times {10}^{26} }{6.02 \times {10}^{23} } \times 44) \: g}} \\ \\ = { \boxed{ \boxed{ \bf{59275.7 \: \: g}}}}$

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3 years ago