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Elis [28]
2 years ago
14

At an automobile dealership, 2 out of every 12 cars sold are red. Which is the best prediction of the number of red cars sold wh

en the automobile dealer sells 150 cars?
Mathematics
1 answer:
Julli [10]2 years ago
3 0

Answer:

25

Step-by-step explanation:

2 out of 12 means also 1 out of 6.

so, a ratio of 1:6 or a factor of 1/6.

150 × 1/6 = 150 / 6 = 25

so, we expect that out of the 150 sold cars 25 have been red.

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Complete the table. Explain why the relationship is a proportional relationship. A cashier earns $8 per hour. Time (h) 2 4 Pay (
Alekssandra [29.7K]

Answer:

8  16  24  32  <u>40</u>  48  56  64  <u>72</u>

1   2     3    4    <u>5</u>    6    7     8    <u>9</u>

Step-by-step explanation:

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6 0
3 years ago
2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}

x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D

6 0
2 years ago
PLEASE ANSWER!!!!! IN A PARAGRAPH
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Answer:The United States Electoral College is the group of presidential electors required by the ... They choose one elector per district and two electors for the ticket with the ... on the count of both voter and non-voter residents for state apportionment. ... there can be a president elected who does not win the national popular vote.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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AysviL [449]

Answer:

the answer is D.

Step-by-step explanation:

multiply each row in the first matrix by each column in the second matrix.

[4*-2+2*7 4*5+2*-1]

simplify each element of the matrix by multiplying out all the expressions.

[6 18]

this matrix is already in the most simplified form.

[6 18]

3 0
2 years ago
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