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3 years ago

2/5n+1/10=1/2(n+4) is this no solution?

1 answer:

3 0

$\dfrac{2}{5}n+\dfrac{1}{10}=\dfrac{1}{2}(n+4)\ \ \ |\cdot10\\\\10\cdot\dfrac{2}{5}n+10\cdot\dfrac{1}{10}=10\cdot\dfrac{1}{2}(n+4)\\\\2\cdot2n+1=5(n+4)\ \ \ \ |\text{use distributive property}\\\\4n+1=(5)(n)+(5)(4)\\\\4n+1=5n+20\ \ \ |-1\\\\4n=5n+19\ \ \ \ |-5n\\\\-n=19\ \ \ |\cdot(-1)\\\\\boxed{n=-19}$

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Six chicken nuggets have 204 calories. How many calories are in 9 chicken nuggets

professor190 [17]

Answer:

306 calories

Step-by-step explanation:

By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:

6 / 204 = 9 / x

Where x is the amount of calories in 9 chicken nuggets.

Now, we can simplify by cross multiplying:

6x = 1836

x = 306 calories

7 0

3 years ago

Read 2 more answers

The image of the point (2, 4) under a translation is (1, 1). Find the

Montano1993 [528]

Answer:

Step-by-step explanation:

8 0

3 years ago

A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), a

sineoko [7]

ANSWER

The scale factor is
$2.5$

EXPLANATION

The given triangle has vertices,

$A(0,0),B(0,4),\:and\:C(6, 0)$ .

The vertices of the image triangle is,

$A'(0,0),B'(0,10),\:and\:C'(15, 0)$ .

The scale factor is given by

$k = \frac{image \: length}{object \: length}$

So we can use any of the corresponding sides to determine the scale factor,

$k = \frac{|A'B'|}{ |AB|}$

$k = \frac{ |10 - 0| }{ |4 - 0|}$

$k = \frac{ |10| }{ |4 |} = \frac{10}{4} = 2.5$

Or

$k = \frac{|A'C'|}{ |AC|}$

$k = \frac{ |15 - 0| }{ |6 - 0|}$

$k = \frac{ |15| }{ |6|} = \frac{15}{6} = 2.5$

Or

$k=\frac{|B'C'|}{|BC|}$

$k = \frac{\sqrt{(15 - 0)^2+(0-10)^2 }}{\sqrt{(6 - 0)^2+(0-4)^2}}$

$k = \frac{ 5\sqrt{13}}{2\sqrt{13}} = \frac{5}{2} = 2.5$

The correct answer is C

3 0

3 years ago

Is .8749 greater than or less than .05

Leto [7]

Answer:

it is greater than .05 because 8 is larger

6 0

3 years ago

this is kinda confusing but it says “if 1 cm represents 2 meters, how long would each measurement be on an actual basketball cou

frosja888 [35]

Answer:

28 m
15 m
24.8 m
1.0 m

Step-by-step explanation:

The given statement is the scale factor:

$\dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}$

This can be rearranged to the formula ...

$\text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}$

Filling in the given scale distances, you find the actual distances to be ...

$\textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\$

4 0

3 years ago