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sergey [27]
3 years ago
12

Alicia uses 3/4 gallon of paint to paint her room. Becca uses for 4/5 gallon more than Alicia to paint her room. How many gallon

s of paint do they use together
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

23/10 gallons

Step-by-step explanation:

Alicia uses 3/4 gallon of paint to paint her room.

Alicia use = 3/4 gallon of paint

Becca uses for 4/5 gallon more than Alicia to paint her room.

Becca uses = Alicia (3/4 gallons ) + 4/5

Becca uses = \frac{3}{4} + \frac{4}{5}

Total paint used together = Aliccia used + Becca used

\frac{3}{4}+\frac{3}{4} + \frac{4}{5}

Add like fractions 3/4 + 3/4 becomes 6/4

\frac{6}{4} + \frac{4}{5}

Make the denominators same

\frac{6*5}{4*5} + \frac{4*4}{5*4}

\frac{30}{20} + \frac{16}{20}

\frac{46}{20}

Divide top and bottom by 2

\frac{23}{10} gallons



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In triangle ABC shown below, DE is parallel to AC. The following two-column proof with missing statements and reasons proves tha
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Step-by-step explanation:

The two column proof can be written as follows;

Statement,                         Reason

1. \overline{DE} \parallel \overline{AC},                           Given

2. \overline {AB} is a transversal ,         Conclusion from statement 1.

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3. ∠BDE ≅∠BAC,                 Corresponding Angles Postulate

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4. ∠B ≅ ∠B,                           Reflexive Property of Equality

In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B,

From ∠BDE + ∠B + ∠BED = 180°

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Therefore, ∠BED = ∠BCA Substitution property of equality

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Answer:

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Step-by-step explanation:

The list of random numbers simulates the out comes of 4 colonies.

Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?

The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.

Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.

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3829; 2 colonies thrive, 2 don't.

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2868; 2 colonies thrive, 2 don't.

5137; 3 colonies thrive, 1 doesn't.

The number of trials where exactly 2 colonies thrive = 2

The total number of trials = 6

The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333

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