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11Alexandr11 [23.1K]
3 years ago
12

liam practiced piano 24 times in 4 weeks. his brother practiced piano 12 times in 14 days. are the rates at which each brother p

racticed equivalent?
Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0

Answer:

the rates are equivalent.

Step-by-step explanation:

liam practiced piano 24 times in 4 weeks.

1 week = 7 days

4 weeks = 28 days

liam practiced piano 24 times in 7 days

The ratio of 24 times to 7 days is \frac{24}{28}= \frac{6}{7}

his brother practiced piano 12 times in 14 days.

The ratio of 12 times in 14 days is \frac{12}{14}= \frac{6}{7}

Both the fractions are equivalent

So the rates are equivalent.

Tcecarenko [31]3 years ago
5 0
Yes because if you simplify 24 and 4 weeks(28 days) by 2 than you would get 12 and 2 weeks(14 days)
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Y=2x+1
yan [13]

Answer:

(1) 2 (2) (-1/2,0) (3) (0,1)

Step-by-step explanation:

The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

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3 years ago
Math question Informatin in dot plots
kozerog [31]

Answer:

Step-by-step explanation:

Range =  difference between the highest and the lowest

Mode = Data that occurs the most time

Median = Arrange  the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle  terms.

1) Range = 28 -21 = 7

Mode = 25

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Median = average of  7th and 8th term

Median = (25+25)/2 = 50/2 = 25

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8 0
3 years ago
what is the equation in point-slope form of the line that passes through the point ( -1,,-4) has a slop of a -3​
Vesnalui [34]
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6 0
3 years ago
What is the height of the triangle? 12 units 24 units 36 units 72 units.
konstantin123 [22]

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.

<h3>Given information-</h3>

The triangle for the given problem is shown in the image below.

Form the figure the length of the each side is 16 \sqrt{3} units.

As all the sides are equal thus the \Delta MNO is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 8\sqrt{3} at point <em>R.</em>

<h3>Height of the triangle-</h3>

Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.

Now in the  \Delta MRN, the length of the hypotenuse is 16 \sqrt{3} units and the length of the base is 8\sqrt{3} units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,

(16\sqrt{3})^2 =(8\sqrt{3})^2+h^2

Solve for <em>h,</em>

<em />

<em />\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end<em />

<em />

Thus the height of the tringle is 24 units. Hence option 2 is the correct option.

Learn more about the equilateral triangle here;

brainly.com/question/4268382

5 0
2 years ago
Someone help me please ?
CaHeK987 [17]

9514 1404 393

Answer:

  3/2

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths.

  larger/smaller = (21/2)/7 = 21/14 = 3/2

The scale factor is 3/2.

6 0
3 years ago
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