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3 years ago

6 eggs weigh 3/4 of a pound. How much does each egg weigh?

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

8 0

$Each\: egg\: weight: \frac{3}{4} \div 6 = \frac{1}{8} \: of \: a \: pound$

steposvetlana [31]3 years ago

5 0

3/4÷6/1=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

3/4×1/6=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

3×1/4×6=3 2/4

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 24 using

GCF(3,24) = 3

3÷324÷3=18

Therefore:

3/4÷6/1=1/8

Solution by Formulas

Apply the fractions formula for division, to

34÷61

and solve

3×14×6

=324

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(3,24) = 3

3÷324÷3=18

Therefore:

3/4÷6/1=1/8

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The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupie

dimaraw [331]

Answer:

0.1569 = 15.69%

Step-by-step explanation:

If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):

P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6

P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6

P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%

7 0

2 years ago

Ad is tangent to circle o at d. find ab. round to the nearest tenth if necessary

Naddik [55]

Check the picture below.

$\bf 0=AB^2+6AB-121\implies \stackrel{\textit{using the quadratic formula}}{AB=\cfrac{-6 \pm \sqrt{6^2-4(1)(-121)}}{2(1)}}
\\\\\\
AB=\cfrac{-6 \pm \sqrt{520}}{2}\implies AB=\cfrac{-6 \pm \sqrt{4\cdot 130}}{2}
\\\\\\
AB=\cfrac{-6 \pm \sqrt{2^2\cdot 130}}{2}\implies AB=\cfrac{-6 \pm 2\sqrt{130}}{2}
\\\\\\
AB=-3\pm\sqrt{130}\implies AB=
\begin{cases}
\boxed{-3+\sqrt{130}}\\\\
-3-\sqrt{130}
\end{cases}$

since the distance AB cannot be a negative value, thus is not -3-√(130).

3 0

3 years ago

Read 2 more answers

91 is 130% of what number w?

Nitella [24]

Answer:

Step-by-step explanation:

91 ÷ 1.3 = 70

5 0

2 years ago

I’m not to sure on how to find CEB can someone explain how to find it and what the answer would be,please

lakkis [162]

Answer:

m∠CEB is 55°

Step-by-step explanation:

Since ∠ADE = 55°, and ∠ADE is half of ∠ADC because ED bisects ∠ADC. Bisect means to cut in half.

∠ADC = 110° because it is double of ∠ADE.

Since AB║CD and AD║BC, the two sets of parallel lines means this shape is a parallelogram. In parallelograms, <u>opposite angles have equal measures</u>.

∠ADC = ∠CBE = 110°

All quadrilaterals have a sum of angles 360°. Since ∠DCB = ∠BAD and we know two of these other angles are each 110°:

360° - 2(110°) = 2(∠DCB)

∠DCB = 140°/2

∠DCB = ∠BAD = 70°

∠DCB was bisected by EC, which makes each divided part half.

∠DCE = ∠BCE = (1/2)(∠DCB)

∠DCE = ∠BCE = (1/2)(70°)

∠DCE = ∠BCE = 35°

All triangles' angles sum to 180°.

In ΔBCE, ∠BCE = 35° and ∠CBE = 110°.

∠CEB = 180° - (∠BCE + ∠CBE)

∠CEB = 180° - (35° + 110°)

∠CEB = 55°

Therefore m∠CEB is 55°.

5 0

2 years ago

Write an expression that represent the sum of a number and 12

antiseptic1488 [7]

Answer:

5+12

there is no equals sign in an expression so it is just that

6 0

3 years ago

Read 2 more answers