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german
3 years ago
12

Carl is seventy-three inches tall. This is twenty-one inches less than two times Marcia's height. How tall is Marcia?

Mathematics
2 answers:
sleet_krkn [62]3 years ago
8 0

Answer:

Marcia is 47 inches tall.

Step-by-step explanation:

Let's solve this step by step and try to visualize the situation.

• Carl: 73 inches tall

The second part of the question states that Carl's heigh is twenty-one inches less than two times Marcia's height. Add 73 + 21 to equal 94. Since Carl is 21 inches less that means that Maria is 21 inches more ( so that's why I added instead of subtracting) because we are trying to find Maria's equation.

Let x be Marcia's height

2x = 94

• The question staes that 73 is 21 inches less than two times Marcia's height which means that the equation 2x = 94 applies because 73 + 21 = 94

After simplifying the equation, we can get the answer that Marcia is 47 inches tall.

schepotkina [342]3 years ago
4 0

Answer:

Step-by-step explanation:

Givens

Carl  = 73

Marcia = 2x - 21 = 73

Solution

2x - 21 = 73                           Add 21 to both sides.

2x = 73 + 21                          Combine

2x = 94                                 Divide by 2

2x/2 = 94/2

x = 47

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What is the degree of the monomial?<br> 3.25 + 2x2 - y+3
disa [49]

Answer:

5

Step-by-step explanation:

The degree is just the number with the highest power. In this case, it is 3^5. Therefore, 5 is the degree.

If this helps please mark as brainliest

8 0
3 years ago
How many sequences of 0s and 1s of length 19 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and con
sladkih [1.3K]

65 sequences.

Lets solve the problem,

The last term is 0.

To form the first 18 terms, we must combine the following two sequences:

0-1 and 0-1-1

Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent

So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:

2x + 3y = 18

Case 1: x=9 and y=0

Number of ways to arrange 9 identical 2-term sequences = 1

Case 2: x=6 and y=2

Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28

Case 3: x=3 and y=4

Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35

Case 4: x=0 and y=6

Number of ways to arrange 6 identical 3-term sequences = 1

Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65

Hence the number of sequences are 65.

Learn more about Sequences on:

brainly.com/question/12246947

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8 0
2 years ago
The front yard of a house is 80 feet long and 50 feet wide. The backyard of the house is 50 feet long and 40 feet wide. What is
Alisiya [41]
Simple, the area is 80*50, 80*50=4,000 ft², the backyard has a dimension of 50*40=2,000 ft², subtract 4,000 from 2,000, 4,000-2,000=2,000 ft²
7 0
3 years ago
Read 2 more answers
Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.
Vera_Pavlovna [14]

Answer:

\boxed {x = -\frac{1}{7}}

Step-by-step explanation:

Solve for the value of x:

6(4x + 5) = 3(x + 8) + 3

-Use <u>Distributive Property</u>:

6(4x + 5) = 3(x + 8) + 3

24x + 30 = 3x + 24 + 3

-Combine like terms:

24x + 30 = 3x + 24 + 3

24x + 30 = 3x + 27

-Take 3x and subtract it from 24x:

24x + 30 -3x = 3x - 3x + 27

21x + 30 = 27

-Subtract both sides by 30:

21x + 30 - 30 = 27 - 30

21x = -3

-Divide both sides by 21:

\frac{21x}{21} = \frac{-3}{21}

x = \frac{-3}{21}

-Reduce the fraction to the lowest term by extracting and canceling out 3:

x = \frac{-3\div3}{21 \div 3}

\boxed {x = -\frac{1}{7}}

Therefore, the value of x is -\frac{1}{7}.

5 0
3 years ago
The martins plan to have five children. Determine the probability that all their children will be boys. (Assume P(boy= 1/2 and a
koban [17]
(\frac{1}{2}) ^{5}=\frac{1}{32}
6 0
3 years ago
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