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natali 33 [55]
2 years ago
11

What is the equation of the line that passes through the point (5, 4) and has a slope of 6/5?

Mathematics
1 answer:
leva [86]2 years ago
8 0

Answer:

y = 6/5x - 2

Step-by-step explanation:

y = mx + b

plug in values

4 = (6/5)(5) + b

simplify

4 = 6 + b

subtract 6 from both sides

-2 = b

y = 6/5x - 2

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Answer: 16 pumpkins.

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A fruit salad recipe requires 4 cups of grapes per 8 servings. How many cups of grapes are required for 28 servings? A) 6 Cups B
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D) 14 Cups

Step-by-step explanation:

4 0
2 years ago
At a convention of monsters, 2/5 have no horns, 1/7 have one horn, 1/3 have two horns, and the remaining 26 have three or more h
Kazeer [188]
If we take it that, the total amount is say hmmm "x"
then one can say that \bf \begin{cases}
\cfrac{2}{5}x\impliedby &\textit{no horns}\\\\
\cfrac{1}{7}x\impliedby &\textit{one horn}\\\\
\cfrac{1}{3}x\impliedby &\textit{two horns}\\\\
26\impliedby &remaining
\end{cases}
\\\\\\
\textit{so the total is really }\quad \cfrac{2}{5}x+\cfrac{1}{7}x+\cfrac{1}{3}x+26

add up the fractions of "x" and the constant of 26

4 0
2 years ago
In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation.
Minchanka [31]
<h3><u>Question:</u></h3>

In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5

<h3><u>Answer:</u></h3>

OPTION D

The exponent in Sam’s product is -5

<h3><u>Solution:</u></h3>

Given that,

In math class, Sam correctly multiplied 3.625 \times 10^{-8} by 500, then reported his product in scientific notation.

<em><u>To find: exponent in Sam’s product</u></em>

Let us first multiply 500 with 3.625 \times 10^{-8}

3.625 \times 10^{-8} \times 500 = 1812.5 \times 10^{-8}

Then Sam has reported this answer in scientific notation

Lets understand what is scientific notation of any number.

Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.

Let us rewrite the Sam's answer in scientific notation

<em><u>The format for writing a number in scientific notation is:</u></em>

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 \times 10^{-8} , we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10^3

1812.5 \times 10^{-8} = 1.8125 \times 10^3 \times 10^{-8} \\\\1812.5 \times 10^{-8} = 1.8125 \times 10^{-5}

Exponent is a quantity representing the power to which a given number or expression is to be raised

So in 1.8125 \times 10^{-5} exponent is -5

5 0
2 years ago
Write the expanded form of h(3k-12.4)
ExtremeBDS [4]

Answer:3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h x 3k - h x 12.4

3hk - 12.4h

3 0
2 years ago
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