a deck 48 cards is divided equally among 6 colors if red is one of the colors in the deck what is the probability that the first
1 answer:
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Answer:
18x +9h
Step-by-step explanation:
Such problems are tedious, but not difficult. The trick is to avoid making mistakes in the algebra.
Answer:
Carmen can make full servings.
Step-by-step explanation:
Given : Carmen mixes cups of water with
cups of juice to make punch.
Total quantity of punch Carmen made = total cup of water + cup of juice she mixes
Total quantity of punch Carmen made =
Solving , we get,
Total quantity of punch Carmen made =
taking LCM(2,8) = 8 , we get,
Total quantity of punch Carmen made =
Also, given She pours cup servings of punch.
Thus, cup of mixture makes 1 serving cup.
Using unitary method,
In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.
1 cup of mixture makes serving cup.
cup makes =
cup makes =
Thus, She can make full servings.
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°.
