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3 years ago

Seven more than double a number one is equal to five less than triple that number. What is that number?

Mathematics

1 answer:

Inga [223]3 years ago

6 0

Answer:

$-\frac{2}{5}$

Step-by-step explanation:

$7+2n=5-3n$

$2n+3n=5-7\\5n=-2\\n=-\frac{2}{5}$

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Schach [20]

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2 years ago

Find the center and radius of (x + 9)^2 + (y + 6)^2 = 9.

VARVARA [1.3K]

You can do this by comparing your equation to the general form of equation of a circle

( x - a)^2 + (y - b)^2 = r^2 where (a,b) is the centre and r = radius:-
(x + 9)^2 (y + 6)^2 = 9

so (a,b) = (-9,-6) and r = 3

so the answer is B

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3 years ago

Read 2 more answers

The surface areas of two similar figures are 25 in2 and 36 in2. If the volume of the smaller figure is 250 in3, what is the volu

Slav-nsk [51]

Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is $25in^{2}$ , and its volume is $250in^{3}$ . We also know that the area of the larger figure is $36in^{2}$ ; since we don't now its volume, lets represent it with $X$ :
$\frac{25in^{2}----\ \textgreater \ 250in^{3}}{36in^{2}----\ \textgreater \ Xin^{3}}$
$\frac{25}{36} = \frac{250}{X}$
$X= \frac{(250)(36)}{25}$
$X=360$

We can conclude that the volume of the larger figure is $360in^{3}$ ; therefore, the correct answer is a.

6 0

2 years ago

Read 2 more answers

The sum of the measures of angle Y and angle Z is 180 degrees. Angle Y measures (3x + 20) degrees and Angle Z measures x degrees

Minchanka [31]

A)
The question tells us that
y + z = 180
And
y=3x+20
z=x

So we put them in the first formula:

y + z = 180
(3x + 20) + x = 180

Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40

B)
Put x back in to equation to get size of each angle:

Y =3x +20
Y=3(40)+20
Y=120+20
Y=140

Z=x
Z=40

Verify: y+z=180
140+40=180
180=180

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2 years ago

The depth of Nathan's binder is 2 5/12 inches. what is the measurement as a decimal?

masya89 [10]

Convert to improper fraction: 2 5/12 = 29/12
Divide 29 by 12: 29/12 = 2.42

2.42 inches

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3 years ago