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tamaranim1 [39]
3 years ago
12

Adante begins to evaluate the expression 3 1/3 * 5 1/4

Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

For this case we must find the product of two mixed numbers:

3 \frac {1} {3} = 3 + \frac {1} {3} = \frac {9 + 1} {3} = \frac {10} {3}\\5 \frac {1} {4} = 5 + \frac {1} {4} = \frac {20 + 1} {4} = \frac {21} {4}

So, we have:

\frac {10} {3} * \frac {21} {4} = \frac {10 * 21} {3 * 4} = \frac {210} {12} = \frac {105} {6} = \frac {35} {2}

If we go to a mixed number we have:

\frac {35} {2} = 17 \frac {1} {2}

Answer:

17 \frac {1} {2}

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GrogVix [38]
C. The area of the rectangle is 21 and the area of the semi circle is 3.53. 
8 0
3 years ago
∠A=8x+6 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 8, x, plus, 6, degrees, end color #11ac
zvonat [6]

Answer:

x = 8

B = 70

Step-by-step explanation:

Given

A = 8x + 6

B = 4x + 38

Require

Determine x and <B

Missing in the question: A and B are vertical angles

For vertical angles A and B,

A = B

Substitute values for A and B

8x + 6 = 4x + 38

Collect Like Terms

8x - 4x = 38 - 6

4x = 32

Solve for x

x = 32/4

x = 8

To solve for B, substitute 8 for x in B = 4x + 38

B = 4 * 8 + 38

B = 32 + 38

B = 70

8 0
3 years ago
Read 2 more answers
The line that contains the point Q( 1, -2) and is parallel to the line whose equation is y - 4 = 2/3 (x - 3)
Musya8 [376]

Answer:

y + 2 = \frac{2}{3}(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = \frac{2}{3}(x - 3) ← is in point- slope form

with slope m = \frac{2}{3}

Parallel lines have equal slopes, thus equation of parallel line

with m = \frac{2}{3} and (a, b) = Q(1, - 2) is

y - (- 2) = \frac{2}{3}(x - 1) , that is

y + 2 = \frac{2}{3}(x - 1)

7 0
4 years ago
When graphing 5x-3y&gt;30 do we shade above or below?
Hatshy [7]

Answer:

below

Step-by-step explanation:

5x - 3y > 30

-3y > -5x + 30                divide by negative switches the inequality

y < 5/3x - 10                   y is less than 5/3x - 10 so shade below the line

8 0
3 years ago
Read 2 more answers
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
zheka24 [161]

Answer:

$301 - $397

Step-by-step explanation:

Using the Empirical rule

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the above question,

Mean = 349 , standard deviation = 24.

Confidence interval = 95%

Using 2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ – 2σ

= 349 - 2(24)

= 349 - 48

= 301

μ + 2σ

349 + 2(24)

= 349 + 48

= 397

Therefore, according to the standard deviation rule, approximately 95% of the students spent between $301 and $397 on textbooks in a semester.

8 0
3 years ago
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