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Scilla [17]
3 years ago
11

Carmen simplifies the expression (4 y + 8 x + 6) + 25 + (4 x + 6 y + 7). The coefficient of the variable y in her simplified ans

wer is 4. 6. 10. 12.
Mathematics
2 answers:
Anarel [89]3 years ago
8 0

Answer:

10

Step-by-step explanation:

(4 y + 8 x + 6) + 25 + (4 x + 6 y + 7).

Combine like terms

4y+6y  + 8x+4x  + 6+25+7

10y+12x+38

Oksi-84 [34.3K]3 years ago
4 0

Answer:

10

Step-by-step explanation:

original expression:

4y +8x +6) +25+(4x+6y+7)

Let's simplify it step-by-step:

4y+8x+6+25+4x+6y+7x (removing the parentheses)

4y+12x +6+25+6y+7 (adding together similar terms in x)

10y+12x+6+25+7 (adding together similar terms in y)

10y+12x+38 (adding together similar terms with no variable)

So, from the final expression, we see that the coefficient for y is 10.

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Help please and thank you
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Remember
(a^b)^c=a^{bc}
and
\frac{x^a}{x^b}=x^{a-b}


so

\frac{(7^2)^5}{7^{-6}}=
\frac{7^{2*5}}{7^{-6}}=
\frac{7^{10}}{7^{-6}}=
7^{10-(-6)}=
7^{10+6}=
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the answer is D
5 0
4 years ago
The side length of a square that has an area of 20cm2 is between which two values in the table?
Finger [1]
4x4=16
5x5=25
The area is between perfect squares 16 and 25. Then the side length is between 4 cm and 5 cm
6 0
3 years ago
A die is thrown once. What is the probability that the outcome is a factor of 6? *
diamong [38]

Answer:

The answer would be 1/6.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How to factor x^4-x^2-6=0
Artist 52 [7]

Answer:

(x² + 2) (x² - 3)

Step-by-step explanation:

x⁴ - x² - 6

x⁴- 3x² + 2x² - 6

x² (x² - 3) + 2(x² - 3)

(x² + 2) (x² - 3)

5 0
3 years ago
HREE 8. I invest £x at 3% per annum and £y at 4% per annum. My annual income from these investments is £22. Had I invested £y at
inna [77]

Answer:

x = £200

(y = £400)

Step-by-step explanation:

Convert interest rates into decimal format:

3% = 3/100 = 0.03

4% = 4/100 = 0.04

From information given, create 2 equations:

0.03x + 0.04y = 22

0.04x + 0.03y = 20

Rearrange equation 1 to make y the subject:

⇒ 0.03x + 0.04y = 22

⇒ 0.04y = 22 - 0.03x

⇒ y = 550 - 0.75x

Substitute y = 550 - 0.75x into equation 2 and solve for x:

⇒ 0.04x + 0.03(550 - 0.75x) = 20

⇒ 0.04x + 16.5 - 0.0225x = 20

⇒ 0.0175x = 3.5

⇒ x = 200

To find y, substitute found value of x into one of the equations and solve for y:

⇒ 0.04(200) + 0.03y = 20

⇒ 8 + 0.03y = 20

⇒ 0.03y = 12

⇒ y = 400

5 0
3 years ago
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