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2 years ago

3 1/4 divided by 2 2/3 (convert to mixed number)

Mathematics

1 answer:

Olin [163]2 years ago

6 0

Answer:

3 1/8

Step-by-step explanation:

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Factor the expression completely.

evablogger [386]

Answer:

Factoring the expression $xy^4+x^4y^4$ completely we get $\mathbf{xy^4(x+1)(x^2-x+1)}$

Step-by-step explanation:

We need to factor the expression $xy^4+x^4y^4$ completely

We need to find common terms in the expression.

Looking at the expression, we get $xy^4$ is common in both terms, so we can write:

$xy^4+x^4y^4\\=xy^4(1+x^3)$

So, taking out the common expression we get: $xy^4(1+x^3)$

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

So, we get:

$xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)$

Therefor factoring the expression $xy^4+x^4y^4$ completely we get $\mathbf{xy^4(x+1)(x^2-x+1)}$

6 0

3 years ago

Plz help me 75 points for the 2 questions!!!

liraira [26]

Answer:

<u>The system of equations:</u>

2x + 7y = -11
3x + 5y = -22

Solve by elimination.

<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>

3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
6x + 21y - 6x - 10y = -33 + 44
11y = 11
y = 1

2x + 7*1 = -11
2x = -11 - 7
2x = -18
x = -9

<u>The solution is:</u>

x = -9, y = 1

<u>Simplifying in steps:</u>

8u - 29 > -3(3 - 4u)
8u - 29 > - 9 + 12u
12u - 8u < -29 + 9
4u < -20
u < -5

3 0

3 years ago

What is 1/8 as a whole number

s344n2d4d5 [400]

.125 would be 8 as a whole number

8 0

3 years ago

Type the correct answer in the box. Round off your answer to the nearest integer.

Ugo [173]

Answer:

59°

Step-by-step explanation:

In triangle DAB, by Pythagoras theorem:

$DB= \sqrt {6^2 +5^2} =\sqrt{36+25}=\sqrt{61}$

Next, in triangle DCB, by Pythagoras theorem:

$DB= \sqrt {(\sqrt {61} )^2 - 4^2} =\sqrt{61-16}=\sqrt{45}$

Now, by sin rule.

$\frac{ \sin \: p}{ \sqrt{45} } = \frac{ \sin 90 \degree}{ \sqrt{61} } \\ \\ \frac{ \sin \: p}{ 6.70820393} = \frac{ 1}{ 7.81024968 } \\ \\ \sin \: p = \frac{ 6.70820393}{7.81024968} \\ \\ \sin \: p = 0.858897501 \\ \\p = 59.19301883 \degree \\ \\ p \approx 59 \degree$

3 0

3 years ago

Which algebraic expression is equivalent to this expression 6(3x+5)-20

Ksju [112]

18x+10. I used the distributive property and then combined like terms. Please let me know if you want me to explain further!

7 0

3 years ago