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emmasim [6.3K]
3 years ago
10

What are 3 ratios equal to 5/40?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0

Answer:1/8 , 2/16 , 4/32

Step-by-step explanation:

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Find the equation of the linear function represented by the table below in slope-intercept form.
Ilya [14]

Answer:

the desired equation is y = x + 4.

Step-by-step explanation:

Slope is defined as m = rise over run.  Run is the change (usually an increase) in x, and rise an increase or decrease in y.

We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5).  Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.

Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:

5 = 1(1) + b, or b = 4.

Therefore the desired equation is y = x + 4.

7 0
2 years ago
there are 4 aces and 4 kings in a standard deck of 52 cards. you picking card random. what is the probability of selecting an ac
Mkey [24]
Probability of an Ace= 4/52
Probability of a King = 4/52

Probability of an Ace or a King = P(Ace) + P(King)
=4/52 +4/52
=8/52
=2/13

8 0
3 years ago
In the triangle shown we can find the angle θ as follows calculator
Xelga [282]
Given a right triangle with hypothenus of measure 34, the side opposite the angle θ of measure 30, and the side adjacent the angle theta of measure 16.

\sin\theta= \frac{opposite}{hypothenuse} = \frac{30}{34} = \frac{15}{17}  \\  \\ \Rightarrow \theta=\sin^{-1}\left( \frac{15}{17} \right) \\  \\  \\ \cos\theta= \frac{adjacent}{hypothenuse} = \frac{16}{34} = \frac{8}{17}  \\  \\ \Rightarrow \theta=\cos^{-1}\left( \frac{8}{17} \right) \\  \\  \\ \tan\theta= \frac{opposite}{adjacent} = \frac{30}{16} = \frac{15}{8}  \\  \\ \Rightarrow \theta=\cos^{-1}\left( \frac{15}{8} \right)
3 0
3 years ago
The equation line l is given by the equation y= 7/4x+3. line m goes through the point ( –1,4) and is perpendicular to line l whi
mr_godi [17]

We determine line m as follows:

*First, by theorem we have the following:

m_1=-\frac{1}{m_2}

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

y-y_1=m_1(x-x_1)

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:

y-4=-\frac{4}{7}(x-(-1))\Rightarrow y-4=-\frac{4}{7}x-\frac{4}{7}\Rightarrow y=-\frac{4}{7}x+\frac{24}{7}

And that last function of y is the line m.

8 0
1 year ago
Which of the following is less than 7/8 and greater than 1/3
Rudiy27
1/2, 2/3, 3/4, 4/5,
7 0
2 years ago
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