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fredd [130]
3 years ago
9

From 1970 to 1990 the consumer price index increased from 38.8 to 130.7. If a tube of toothpaste cost 0.77 in 1970 and the price

of toothpaste increased at the same rate as the CPI from 1970 to 1990, how much did the price of a tube of toothpaste increase from 1970 to 1990
Mathematics
2 answers:
AURORKA [14]3 years ago
6 0

Answer:

The answer (according to apex) is 1.82

Step-by-step explanation:

DanielleElmas [232]3 years ago
5 0
This is actually
 confusing
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The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi
elena-s [515]

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (v), measured in inches per second, is defined by following expression:

v = R\cdot \omega (1)

Where:

R - Radius of the wheel, measured in inches.

\omega - Angular speed, measured in radians per second.

If we know that R = 11\,in and \omega \approx 39.584\,\frac{rad}{s}, then the linear speed, measured in miles per hour, in which Darlene is traveling is:

v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}

v \approx 24.74\,\frac{mi}{h}

The linear speed in which Darlene is traveling is 24.74 miles per hour.

8 0
3 years ago
The angles of a pentagon are x, x − 5 0 , x + 100 , 2x + 150and 2x + 300 . Find all the angles.
miv72 [106K]

Answer:

The interior angles are 70°,65°,80°,155° and 170°

Step-by-step explanation:

step 1

Find the sum of the interior angles of the pentagon

The sum is equal to

S=(n-2)*180°

where

n is the number of sides of polygon

n=5 (pentagon)

substitute

S=(5-2)*180°=540°

step 2

Find the value of x

Sum the given angles and equate to 540

x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°

7x+50=540°

7x=490°

x=70°

step 3

Find all the angles

x=70°

(x-5)=(70-5)=65°

(x+10)=(70+10)=80°

(2x+15)=(2*70+15)=155°

(2x+30)=(2*70+30)=170°

8 0
3 years ago
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WITCHER [35]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
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just olya [345]
Line tu is parallel to rs
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3 years ago
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F(x) = 2x² + 2, find f(5).?​
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

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