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3 years ago

What fraction is exactly midway between 1/5 and 1/7

Mathematics

2 answers:

Rufina [12.5K]3 years ago

6 0

Answer:

1/6

Step-by-step explanation:

Gnoma [55]3 years ago

4 0

Answer:

$\frac{6}{35}$

Step-by-step explanation:

To find the ' middle ' add the 2 fractions and divide by 2 ( average )

$\frac{1}{5}$ + $\frac{1}{7}$ ( change denominators to 35 , the LCM of 5 and 7 )

= $\frac{7}{35}$ + $\frac{5}{35}$

= $\frac{12}{35}$

midway = $\frac{12}{35}$ ÷ 2 = $\frac{6}{35}$

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The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as

NISA [10]

$\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}$

$\bf \textit{now we also know that }~~ \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{3}\\ L=12\\ W=30 \end{cases}\implies 30=\cfrac{~~k\frac{1}{4}\left( \frac{1}{3} \right)^2~~}{12} \\\\\\ 360=\cfrac{k}{36}\implies 12960=k~\hfill \boxed{W=\cfrac{12960wh^2}{L}}$

$\bf \textit{when } \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{2}\\ L=12 \end{cases}\textit{ what is \underline{W}?}\qquad W=\cfrac{12960\left( \frac{1}{4} \right)\left(\frac{1}{2} \right)^2}{12} \\\\\\ W=1080\left( \cfrac{1}{4} \right)\left( \cfrac{1}{4} \right)\implies W=1080\cdot \cfrac{1}{16}\implies W=\cfrac{135}{2}\implies W=67\frac{1}{2}$

7 0

4 years ago

The formula for the area of a triangle is A = ½ bh.

Triss [41]

Answer:

63 ft²
h = 2A/b; h = 7 ft

Step-by-step explanation:

1. Put the values where the variables are in the formula, then do the arithmetic.

... A = (1/2)bh = (1/2)(18 ft)(7 ft) = 63 ft²

2. Divide by the coefficient of h. Substitute the given values and do the arithmetic.

... A = (1/2)bh

The coefficient of h is b/2, so we divide by that—or multiply by its inverse, 2/b.

... 2A/b = h

Substituting the given numbers, you have ...

... 2(28 ft²)/(8 ft) = h = 7 ft

The height of the triangle is 7 ft.

3 0

4 years ago

When this construction is complete, the angles that intersect arc 1 and arc 2 are _____ because they are _____ angles.

UNO [17]

Answer:

Option B

Step-by-step explanation:

They are congruent because they are supplemental angles.

Thanks

7 0

3 years ago

』『』『』『』『』『』『』『』『』『』『『』『』『』『』『』『』『』『』『』『』『』『』『』』『『』『」」』『))………………………

natulia [17]

Answer:

D or 6 2/5 or 32/5

Step-by-step explanation:

convert 1 3/5 into fraction

8/5/1/4

convert to multiplicaton

8/5 times 4/1

simplify 32/5

convert 6 2/5

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✉️ If any further questions, inbox me! ✉️

4 0

4 years ago

Read 2 more answers

Zaire is making granola bars. For one batch of bars, the recipe calls for 1 2/3 cups of rolled oats and ½ cup of raisins. What i

Daniel [21]

Answer:

13/6

No explanation sorry :(

3 0

2 years ago