The sum is type answer as integer proper fraction or mixed number simplify answer

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

5 0

Answer:

$9\dfrac{5}{6}$

Step-by-step explanation:

$5\dfrac{1}{6}+4\dfrac{2}{3}=\\\\5\dfrac{1}{6}+4\dfrac{4}{6}=\\\\9\dfrac{5}{6}$

Hope this helps!

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After observing this pattern, Lexie made a conjecture for the next shape in the pattern. Five squares in a row. Each square has

Lostsunrise [7]

Answer:

a square with a segment extending from the center to the top right vertex

Step-by-step explanation:

According to the described pattern, the shapes are all squares with a segment that's rotating in a clock-wise motion.

Starting at the top left corner, moving to the top right, then bottom right and finally bottom left.

Since the fifth figure shows this patern is starting over, it would be an accepable inference that the following shape is the same as the second shape.

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The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card

m_a_m_a [10]

You can divide 100 by 4 to find out how many lunches you can buy
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Which equations have the same slope as the graph above? Select all that apply.

borishaifa [10]

Given:

The graph given passes through two points (0, 2) and (-4, 8).

General Idea:

We can find the slope (m) of a line passing through two points say A and B using the below formula.

$A(x_1,y_1) \; and \; B(x_2,y_2) \; the\; two\; points\\ \\ Slope\; (m)\; =\; \frac{y_2-y_1}{x_2-x_1}$

Applying the concept:

Slope of the line given using the two points (0, 2) and (-4, 8).

$m=\frac{8-2}{-4-0}=\frac{6}{-4} =\frac{-3}{2}$

Out of the five options given , we need to check which options have slope as -6/4 or -3/2 by rewriting (if needed) the given to slope intercept form y =mx + b and compare the same.

Conclusion:

Rewriting the first option, the slope is -6/4 as shown below.

$y=\frac{12-6x}{4}=\frac{12}{4} -\frac{6x}{4} =-\frac{6}{4}x+3$

Rewriting the fourth option, the slope is -3/2 as show below.

$-4y=6x+4\\ \\ \frac{-4y}{-4}=\frac{6x}{-4}+\frac{4}{-4} \\ \\ y=\frac{-3}{2}x-1$

Rewriting the fifth option, the slope is -3/2 as shown below.

$2y+3x-5=0\\Subtract \; 3x\; and\; add\; 5\; on\; both\; sides\; of\; the\; equation\\ \\ 2y+3x-5-3x+5=0-3x+5\\ Combine\; like\; terms\\\\ 2y=-3x+5\\$