The balloons of each color that Marty inflated are:
- Marty
- inflate
- red 271
- ballons
- Marty
- inflate
- red 380
- ballons
This is further explained below.
<h3>How many balloons of each color did Marty inflate?</h3>
Generally, the equation for the statement is mathematically given as
w= r+225
w - 225 = r
Therefore
w - 116 = b
Where
r + w + b = 1147
(w - 225 )+w +( w - 116)=1147
3w = 1147 + 341
w = 496
In conclusion, For Red
w - 225 = r
496 - 225 = r
r=271
Marty inflate red 271 ballons
For blue
w - 116 = b
496 - 116 =380
b=380
Marty inflate red 380 ballons
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It would be c. 12 inches
H = V/lw
The Length * Width = 450
and the volume is 5400
So 5400/450 = 12
Hope that helps!
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Answer:
x<6/5, x>14/5
Step-by-step explanation:
Steps
$5\left|x-2\right|+4>8$
$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$
$5\left|x-2\right|+4-4>8-4$
$\mathrm{Simplify}$
$5\left|x-2\right|>4$
$\mathrm{Divide\:both\:sides\:by\:}5$
$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$
$\mathrm{Simplify}$
$\left|x-2\right|>\frac{4}{5}$
$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$
$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$
Show Steps
$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$
Show Steps
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
I feel like it would be rational because 0/12 = 0, and 0 is a rational number.
