3x to the second power + 4x -7

Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the len

VikaD [51]

Answer:

The length of the field on the drawing is <u>55 cm</u> that is option <u>D</u>.

Step-by-step explanation:

Given:

Mark made a scale drawing of a soccer field, using a scale of .5 cm=1 m.

The actual length of the field is 110 m.

Now, to find the length of the field on the drawing.

Let the length of the field on drawing be $x\ cm.$

As given,

Drawing of a soccer field, using a scale of 0.5 cm=1 m.

So, 0.5 cm is equivalent to 1 m.

Thus, $x\ cm$ is equivalent to 110 m.

Now, to get the length of the field on the drawing by using cross multiplication:

$\frac{0.5}{1} =\frac{x}{110}$

By cross multiplying we get:

$55=x$

$x=55\ cm$

Therefore, the length of the field on the drawing is 55 cm that is option D.

7 0

3 years ago

What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 10.3

aleksklad [387]

Mean -to-MAD ratio is the division of the Mean by the Mean Absolute Deviaion (MAD). For the set 1, mean / MAD is 10.3 / 1. 6 = 6.4375; and for the set 2, Mean / MAD is: 12.7 / 1.5 = 8.467. This is a measure of disperssion of a set of values. MAD is calculated as the sum of the absolute differences of the values and the mean.

4 0

3 years ago

The sum of two integers is 121. The larger integer is 7 more than twice the smaller integer. Find the two integers.

iren [92.7K]

X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.

5 0

3 years ago

Find an equation for the line with the given properties. Perpendicular to the line x - 6y = 8; containing the point (4,4) O 1) y

Pepsi [2]

Answer:

Option 3 - $y=-6x+28$