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Firdavs [7]
3 years ago
5

Tom and Maria typed in words in the ratio of 1 : 5 in 20 minutes. They typed 864 words altogether. Find the number of words that

each of them typed
Mathematics
2 answers:
adoni [48]3 years ago
8 0

Answer:

The number of words Tom typed are 144 and number of words Maria typed are 720 .

Step-by-step explanation:

As given

Tom and Maria typed in words in the ratio of 1 : 5 in 20 minutes.

They typed 864 words altogether.

Let us assume that the y be the scalar multiple of the Tom and Maria typed in words .

Number of words Tom typed = y

Number of words Maria typed = 5y

Thus the equation becomes

y + 5y = 864

6y = 864

y= \frac{864}{6}

y = 144

Number of words Tom typed = 144

Number of words Maria typed = 5 × 144

                                                  = 720

Therefore the number of words Tom typed are 144 and number of words Maria typed are 720 .

maria [59]3 years ago
4 0

Answer:

As per the statement:

Tom and Maria typed in words in the ratio of 1 : 5 in 20 minutes.

Let x be the number.

Then;

Tom typed number of  words = x and

Maria typed number of words = 5x

It is also given that they altogether typed 864

⇒x+5x = 864

Combine like terms;

6x = 864

Divide both sides by 6 we get;

x = 144

then;

Number of words Tom typed = 144 and

Number of words Maria typed =5(144)=720

Therefore, number of words that Tom and Maria typed are: 144 and 720

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Answer:

$231.67

Step-by-step explanation:

how you need to divide 589 to 3 and than you get 231.67

5 0
3 years ago
In a mathematics class, half of the students scored 87 on an achievement test.
Nimfa-mama [501]

The complete question is:

In a mathematics class, half of the students scored 87 on an achievement test. With the exception of a few students who scored 52, the remaining students scored 71. Which of the following statements is true about the distribution of scores?

A. The mean is less than the median.

B. The mean and the median is the same.

C. The mean is greater than the mode.

D. The mean is greater than the median.

Statistics exist in the analysis of collection, analysis, interpretation, and presentation of data or into discipline to collect and summarize the data.

Therefore, the correct answer is option A. The mean is less than the median.

<h3>What are statistics?</h3>

Statistics exist in the analysis of collection, analysis, interpretation, and presentation of data or into discipline to collect and summarize the data.

Half the students scored 87.

The next highest score exists at 71.

Then the median will be (71+ 87) / 2 = 79

A few students scored 52, so the mean exists a little lower than the mean of 71 and 87.

Therefore, the correct answer is option A. The mean is less than the median.

To learn more about statistics refer to:

brainly.com/question/10951564

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3 0
1 year ago
Miguel tells his teacher1/5 is the same as 20%. Which best justifies Miguel’s answer? a.5 goes into 100 twenty times, so 20% is
svetoff [14.1K]

Answer:

C. 5 goes into 100 twenty times, and 1 times 20 is 20

Step-by-step explanation:

Since, we know that when we multiply both numerator and denominator of a fraction by a same number then we obtain an equivalent fraction,

Here, the given fraction,

\frac{1}{5}

By the above statement,

\frac{1}{5}=\frac{1\times 20}{5\times 20}=\frac{20}{100}

Now,

a\%=\frac{a}{100}

\implies \frac{20}{100}=20\%

Hence,

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Option C is correct.

3 0
3 years ago
Read 2 more answers
Create an equation that matches this table
Radda [10]

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

<u>Common differences of X: </u>

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

<u>Common differences of Y: </u>

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$m=\frac{\Delta y}{\Delta x}

$m=\frac{10}{1}

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

6 0
2 years ago
I’m not sure what to do, this was what I got. Someone please help and solve problem #14 in the picture. Thanks!
mars1129 [50]

Answer:

  • x = 8
  • AM = BM = 16

Step-by-step explanation:

Your problem setup is correct. The triangle is isosceles, so the marked segments are the same length.

  3x - 8 = 2x

You can solve this by subtracting 2x (from both sides) ...

  x - 8 = 0

Then adding 8 (to both sides):

  x = 8

MB = MA = 2x = 16.

4 0
3 years ago
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